Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 370, 371 }

B grade: { }

C grade: { }

F grade: { 369}

2.1.2 Mathematica

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, 32, 33, 34, 35, 36, 39, 40, 41, 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, 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, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 146, 147, 148, 149, 150, 151, 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, 197, 198, 199, 200, 201, 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, 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, 285, 287, 289, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 369, 370, 371 }

B grade: { 103, 104, 145, 152, 154, 196, 202, 302, 368 }

C grade: { 37, 38, 42, 46, 74, 125, 153, 228, 229, 230, 231, 232, 233, 234, 235, 284, 286, 288, 290 }

F grade: { 31}

2.1.3 Maple

A grade: { 1, 4, 5, 6, 7, 8, 12, 13, 14, 15, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 37, 39, 40, 41, 42, 43, 44, 45, 47, 49, 50, 53, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 97, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 127, 128, 129, 130, 131, 133, 135, 136, 137, 138, 139, 140, 141, 146, 155, 156, 157, 158, 159, 160, 161, 164, 165, 166, 167, 171, 172, 173, 177, 178, 179, 185, 191, 197, 203, 209, 215, 221, 227, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 281, 282, 283, 285, 289, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 311, 317, 324, 342, 345, 346, 347, 348, 349, 350, 351, 353, 362, 363, 364, 365, 366, 368 }

B grade: { 9, 10, 11, 18, 35, 36, 38, 46, 48, 51, 52, 62, 132, 134, 142, 143, 144, 145, 147, 148, 149, 150, 151, 152, 153, 154, 162, 163, 168, 169, 170, 174, 175, 176, 266, 267, 268, 280, 343, 344, 352, 354, 355, 356, 357 }

C grade: { 228, 229, 230, 231, 232, 233, 234, 235, 284, 286, 288, 290 }

F grade: { 2, 3, 16, 31, 54, 55, 56, 71, 78, 79, 80, 94, 95, 96, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 126, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 198, 199, 200, 201, 202, 204, 205, 206, 207, 208, 210, 211, 212, 213, 214, 216, 217, 218, 219, 220, 222, 223, 224, 225, 226, 236, 237, 238, 239, 240, 241, 242, 243, 287, 291, 307, 308, 309, 310, 312, 313, 314, 315, 316, 318, 319, 320, 321, 322, 323, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 358, 359, 360, 361, 367, 369, 370, 371 }

2.1.4 Maxima

A grade: { 4, 5, 6, 7, 12, 13, 14, 15, 23, 24, 28, 29, 32, 33, 57, 61, 84, 88, 92, 93, 97, 119, 155, 161, 167, 185, 191, 197, 203, 209, 215, 221, 227, 281, 282, 285, 289, 292, 293, 294, 296, 297, 298, 299, 300, 301, 302, 304, 306, 317, 324, 342, 346, 347, 362, 363, 366, 367, 369

B grade: { 122, 124, 134, 276, 283, 305 }

C grade: { }

F grade: { 1, 2, 3, 8, 9, 10, 11, 16, 17, 18, 19, 20, 21, 22, 25, 26, 27, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 89, 90, 91, 94, 95, 96, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 120, 121, 123, 125, 126, 127, 128, 129, 130, 131, 132, 133, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 156, 157, 158, 159, 160, 162, 163, 164, 165, 166, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 198, 199, 200, 201, 202, 204, 205, 206, 207, 208, 210, 211, 212, 213, 214, 216, 217, 218, 219, 220, 222, 223, 224, 225, 226, 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, 277, 278, 279, 280, 284, 286, 287, 288, 290, 291, 295, 303, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 318, 319, 320, 321, 322, 323, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 343, 344, 345, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 364, 365, 368, 370, 371 }

2.1.5 FriCAS

A grade: { 4, 5, 6, 7, 12, 13, 14, 23, 24, 28, 29, 30, 32, 33, 53, 57, 58, 59, 60, 61, 67, 68, 69, 75, 76, 77, 84, 88, 92, 93, 97, 118, 119, 136, 146, 155, 161, 167, 173, 179, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 266, 267, 268, 281, 282, 283, 285, 292, 293, 294, 296, 297, 298, 299, 301, 304, 305, 306, 315, 317, 322, 324, 342, 346, 347, 349, 350, 351, 353, 355, 356, 357, 362, 363, 366, 369, 371 }

B grade: { 9, 10, 11, 15, 63, 64, 65, 66, 70, 115, 116, 117, 121, 122, 123, 124, 125, 127, 128, 129, 130, 131, 134, 137, 138, 139, 140, 141, 147, 148, 149, 150, 272, 273, 274, 275, 276, 277, 280, 289, 300, 302, 314, 316, 321, 323, 352, 354, 367, 368, 370 }

C grade: { }

F grade: { 1, 2, 3, 8, 16, 17, 18, 19, 20, 21, 22, 25, 26, 27, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 62, 71, 72, 73, 74, 78, 79, 80, 81, 82, 83, 85, 86, 87, 89, 90, 91, 94, 95, 96, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 120, 126, 132, 133, 135, 142, 143, 144, 145, 151, 152, 153, 154, 156, 157, 158, 159, 160, 162, 163, 164, 165, 166, 168, 169, 170, 171, 172, 174, 175, 176, 177, 178, 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, 263, 264, 265, 269, 270, 271, 278, 279, 284, 286, 287, 288, 290, 291, 295, 303, 307, 308, 309, 310, 311, 312, 313, 318, 319, 320, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 343, 344, 345, 348, 358, 359, 360, 361, 364, 365 }

2.1.6 Sympy

A grade: { 4, 5, 6, 7, 12, 13, 14, 15, 23, 24, 28, 29, 30, 32, 33, 57, 58, 59, 60, 61, 67, 68, 69, 70, 75, 76, 77, 84, 88, 92, 93, 97, 115, 116, 117, 118, 119, 127, 128, 129, 130, 131, 136, 137, 138, 139, 140, 141, 147, 148, 149, 150, 155, 161, 167, 185, 191, 209, 215, 221, 247, 248, 249, 250, 255, 256, 257, 258, 266, 267, 268, 272, 273, 274, 275, 276, 277, 281, 282, 283, 285, 294, 304, 362, 363, 366 }

B grade: { }

C grade: { }

F grade: { 1, 2, 3, 8, 9, 10, 11, 16, 17, 18, 19, 20, 21, 22, 25, 26, 27, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 62, 63, 64, 65, 66, 71, 72, 73, 74, 78, 79, 80, 81, 82, 83, 85, 86, 87, 89, 90, 91, 94, 95, 96, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 120, 121, 122, 123, 124, 125, 126, 132, 133, 134, 135, 142, 143, 144, 145, 146, 151, 152, 153, 154, 156, 157, 158, 159, 160, 162, 163, 164, 165, 166, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 210, 211, 212, 213, 214, 216, 217, 218, 219, 220, 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, 251, 252, 253, 254, 259, 260, 261, 262, 263, 264, 265, 269, 270, 271, 278, 279, 280, 284, 286, 287, 288, 289, 290, 291, 292, 293, 295, 296, 297, 298, 299, 300, 301, 302, 303, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 364, 365, 367, 368, 369, 370, 371 }

2.1.7 Giac

A grade: { 4, 5, 6, 7, 23, 24, 28, 29, 30, 32, 33, 53, 57, 58, 59, 60, 84, 88, 92, 97, 136, 146, 155, 161, 167, 173, 179, 185, 191, 197, 203, 209, 215, 221, 227, 244, 245, 246, 247, 249, 250, 251, 252, 253, 254, 255, 257, 258, 259, 280, 281, 282, 283, 285, 292, 293, 294, 296, 297, 298, 299, 300, 301, 304, 306, 342, 346, 347, 349, 350, 351, 362, 363, 369 }

B grade: { 9, 15, 61, 116, 117, 118, 119, 121, 272, 273, 274, 275, 276, 277, 289, 302, 305, 352, 366, 367 }

C grade: { }

F grade: { 1, 2, 3, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 25, 26, 27, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 89, 90, 91, 93, 94, 95, 96, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 120, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 137, 138, 139, 140, 141, 142, 143, 144, 145, 147, 148, 149, 150, 151, 152, 153, 154, 156, 157, 158, 159, 160, 162, 163, 164, 165, 166, 168, 169, 170, 171, 172, 174, 175, 176, 177, 178, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 192, 193, 194, 195, 196, 198, 199, 200, 201, 202, 204, 205, 206, 207, 208, 210, 211, 212, 213, 214, 216, 217, 218, 219, 220, 222, 223, 224, 225, 226, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 248, 256, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 278, 279, 284, 286, 287, 288, 290, 291, 295, 303, 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, 343, 344, 345, 348, 353, 354, 355, 356, 357, 358, 359, 360, 361, 364, 365, 368, 370, 371 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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










Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 168 263 0 0 0 0
normalized size 1 1. 0.99 1.55 0. 0. 0. 0.
time (sec) N/A 0.264 0.01 0.076 0. 0. 0. 0.


















Problem 2 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 260 260 240 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.405 0.13 0.112 0. 0. 0. 0.


















Problem 3 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 348 348 322 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.433 0.043 0.113 0. 0. 0. 0.


















Problem 4 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 176 176 166 259 343 468 316 400
normalized size 1 1. 0.94 1.47 1.95 2.66 1.8 2.27
time (sec) N/A 0.17 0.138 0.008 1.049 2.435 2.127 1.667


















Problem 5 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 124 124 121 189 219 324 190 265
normalized size 1 1. 0.98 1.52 1.77 2.61 1.53 2.14
time (sec) N/A 0.096 0.085 0.005 1.057 2.544 0.964 1.561


















Problem 6 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 97 97 91 96 127 197 99 169
normalized size 1 1. 0.94 0.99 1.31 2.03 1.02 1.74
time (sec) N/A 0.052 0.039 0.006 1.078 2.374 0.403 1.587


















Problem 7 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 30 30 30 31 41 95 26 55
normalized size 1 1. 1. 1.03 1.37 3.17 0.87 1.83
time (sec) N/A 0.013 0.008 0.004 1.031 2.439 0.16 1.287


















Problem 8 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 187 187 175 282 0 0 0 0
normalized size 1 1. 0.94 1.51 0. 0. 0. 0.
time (sec) N/A 0.259 0.054 0.037 0. 0. 0. 0.


















Problem 9 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 82 82 79 178 0 520 0 290
normalized size 1 1. 0.96 2.17 0. 6.34 0. 3.54
time (sec) N/A 0.055 0.096 0.018 0. 2.741 0. 1.447


















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 166 279 0 1146 0 0
normalized size 1 1. 1.3 2.18 0. 8.95 0. 0.
time (sec) N/A 0.084 0.33 0.03 0. 3.441 0. 0.


















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 205 516 0 1960 0 0
normalized size 1 1. 1.12 2.82 0. 10.71 0. 0.
time (sec) N/A 0.138 0.388 0.012 0. 7.693 0. 0.


















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 368 368 354 641 880 1010 743 0
normalized size 1 1. 0.96 1.74 2.39 2.74 2.02 0.
time (sec) N/A 0.759 0.524 0.085 1.181 2.592 5.122 0.


















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 248 410 552 687 454 0
normalized size 1 1. 1.04 1.72 2.31 2.87 1.9 0.
time (sec) N/A 0.512 0.368 0.061 1.385 2.578 2.325 0.


















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 142 193 338 406 233 0
normalized size 1 1. 1.01 1.38 2.41 2.9 1.66 0.
time (sec) N/A 0.322 0.33 0.04 1.203 2.462 0.906 0.


















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 74 72 97 212 82 150
normalized size 1 1. 1.61 1.57 2.11 4.61 1.78 3.26
time (sec) N/A 0.063 0.059 0.002 1.076 2.351 0.319 1.579


















Problem 16 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 291 291 273 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.469 0.202 0.026 0. 0. 0. 0.


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 263 263 191 529 0 0 0 0
normalized size 1 1. 0.73 2.01 0. 0. 0. 0.
time (sec) N/A 0.472 0.21 0.155 0. 0. 0. 0.


















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 349 349 270 1013 0 0 0 0
normalized size 1 1. 0.77 2.9 0. 0. 0. 0.
time (sec) N/A 0.609 0.874 0.262 0. 0. 0. 0.


















Problem 19 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 394 394 305 394 0 0 0 0
normalized size 1 1. 0.77 1. 0. 0. 0. 0.
time (sec) N/A 1.172 0.67 0.195 0. 0. 0. 0.


















Problem 20 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 245 245 188 254 0 0 0 0
normalized size 1 1. 0.77 1.04 0. 0. 0. 0.
time (sec) N/A 0.702 0.4 0.128 0. 0. 0. 0.


















Problem 21 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 116 116 98 120 0 0 0 0
normalized size 1 1. 0.84 1.03 0. 0. 0. 0.
time (sec) N/A 0.318 0.16 0.085 0. 0. 0. 0.


















Problem 22 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 54 54 45 56 0 0 0 0
normalized size 1 1. 0.83 1.04 0. 0. 0. 0.
time (sec) N/A 0.074 0.019 0. 0. 0. 0. 0.


















Problem 23 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 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.201 0.158 0. 0. 0. 0.


















Problem 24 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 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.376 0.23 0. 0. 0. 0.


















Problem 25 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 359 351 288 616 0 0 0 0
normalized size 1 0.98 0.8 1.72 0. 0. 0. 0.
time (sec) N/A 0.688 1.581 0.2 0. 0. 0. 0.


















Problem 26 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 180 176 150 272 0 0 0 0
normalized size 1 0.98 0.83 1.51 0. 0. 0. 0.
time (sec) N/A 0.337 0.734 0.125 0. 0. 0. 0.


















Problem 27 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 85 81 71 118 0 0 0 0
normalized size 1 0.95 0.84 1.39 0. 0. 0. 0.
time (sec) N/A 0.179 0.198 0. 0. 0. 0. 0.


















Problem 28 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 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.031 3.076 0.171 0. 0. 0. 0.


















Problem 29 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 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.029 5.081 0.25 0. 0. 0. 0.


















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 74 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.261 3.938 2.824 0. 0. 0. 0.


















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F(-2) F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 179 179 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.101 0.043 2.781 0. 0. 0. 0.


















Problem 32 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 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.029 0.342 0.891 0. 0. 0. 0.


















Problem 33 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 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.031 0.738 0.93 0. 0. 0. 0.


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 640 640 413 1119 0 0 0 0
normalized size 1 1. 0.65 1.75 0. 0. 0. 0.
time (sec) N/A 0.687 1.419 0.463 0. 0. 0. 0.


















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 431 431 301 791 0 0 0 0
normalized size 1 1. 0.7 1.84 0. 0. 0. 0.
time (sec) N/A 0.532 0.927 0.355 0. 0. 0. 0.


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 227 208 423 0 0 0 0
normalized size 1 1. 0.92 1.86 0. 0. 0. 0.
time (sec) N/A 0.25 1.168 0.27 0. 0. 0. 0.


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 664 664 1353 992 0 0 0 0
normalized size 1 1. 2.04 1.49 0. 0. 0. 0.
time (sec) N/A 1.65 6.045 0.247 0. 0. 0. 0.


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 781 781 1398 1814 0 0 0 0
normalized size 1 1. 1.79 2.32 0. 0. 0. 0.
time (sec) N/A 2.547 9.769 0.324 0. 0. 0. 0.


















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 918 918 779 1510 0 0 0 0
normalized size 1 1. 0.85 1.64 0. 0. 0. 0.
time (sec) N/A 0.932 4.245 0.493 0. 0. 0. 0.


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 651 651 546 1087 0 0 0 0
normalized size 1 1. 0.84 1.67 0. 0. 0. 0.
time (sec) N/A 0.731 2.193 0.388 0. 0. 0. 0.


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 353 353 392 601 0 0 0 0
normalized size 1 1. 1.11 1.7 0. 0. 0. 0.
time (sec) N/A 0.335 1.206 0.284 0. 0. 0. 0.


















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 984 984 2889 1838 0 0 0 0
normalized size 1 1. 2.94 1.87 0. 0. 0. 0.
time (sec) N/A 1.889 13.539 0.22 0. 0. 0. 0.


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1228 1228 1899 1954 0 0 0 0
normalized size 1 1. 1.55 1.59 0. 0. 0. 0.
time (sec) N/A 1.139 7.051 0.575 0. 0. 0. 0.


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 901 901 1047 1424 0 0 0 0
normalized size 1 1. 1.16 1.58 0. 0. 0. 0.
time (sec) N/A 0.926 2.715 0.475 0. 0. 0. 0.


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 494 494 656 805 0 0 0 0
normalized size 1 1. 1.33 1.63 0. 0. 0. 0.
time (sec) N/A 0.397 1.293 0.362 0. 0. 0. 0.


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 1536 1536 7163 3928 0 0 0 0
normalized size 1 1. 4.66 2.56 0. 0. 0. 0.
time (sec) N/A 2.448 25.453 0.303 0. 0. 0. 0.


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 430 430 304 751 0 0 0 0
normalized size 1 1. 0.71 1.75 0. 0. 0. 0.
time (sec) N/A 0.575 0.921 0.348 0. 0. 0. 0.


















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 258 258 233 486 0 0 0 0
normalized size 1 1. 0.9 1.88 0. 0. 0. 0.
time (sec) N/A 0.43 0.58 0.266 0. 0. 0. 0.


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 158 209 0 0 0 0
normalized size 1 1. 1.32 1.74 0. 0. 0. 0.
time (sec) N/A 0.217 0.254 0.178 0. 0. 0. 0.


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 48 77 0 0 0 0
normalized size 1 1. 1.02 1.64 0. 0. 0. 0.
time (sec) N/A 0.057 0.036 0.006 0. 0. 0. 0.


















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 325 325 256 678 0 0 0 0
normalized size 1 1. 0.79 2.09 0. 0. 0. 0.
time (sec) N/A 0.548 0.623 0.132 0. 0. 0. 0.


















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 444 444 448 1770 0 0 0 0
normalized size 1 1. 1.01 3.99 0. 0. 0. 0.
time (sec) N/A 0.661 2.205 0.31 0. 0. 0. 0.


















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.186 0.131 1.526 0. 0. 0. 0.


















Problem 54 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 438 438 397 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.727 0.253 1.591 0. 0. 0. 0.


















Problem 55 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 332 332 303 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.559 0.305 1.241 0. 0. 0. 0.


















Problem 56 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 197 197 206 0 0 0 0 0
normalized size 1 1. 1.05 0. 0. 0. 0. 0.
time (sec) N/A 0.3 0.018 0.148 0. 0. 0. 0.


















Problem 57 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 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.195 0.266 0.843 0. 0. 0. 0.


















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 95 200 0 262 255 219
normalized size 1 1. 0.73 1.53 0. 2. 1.95 1.67
time (sec) N/A 0.172 0.082 0.014 0. 2.83 1.814 1.293


















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 74 130 0 216 170 177
normalized size 1 1. 0.82 1.44 0. 2.4 1.89 1.97
time (sec) N/A 0.113 0.056 0.004 0. 2.567 0.844 1.304


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 60 74 0 178 104 150
normalized size 1 1. 0.79 0.97 0. 2.34 1.37 1.97
time (sec) N/A 0.066 0.04 0.004 0. 2.52 0.365 1.297


















Problem 61 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 34 34 40 31 41 135 46 124
normalized size 1 1. 1.18 0.91 1.21 3.97 1.35 3.65
time (sec) N/A 0.014 0.027 0.001 1.08 2.47 0.184 1.285


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 153 388 0 0 0 0
normalized size 1 1. 1.17 2.96 0. 0. 0. 0.
time (sec) N/A 0.243 0.012 0.082 0. 0. 0. 0.


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 57 71 0 405 0 0
normalized size 1 1. 1. 1.25 0. 7.11 0. 0.
time (sec) N/A 0.07 0.039 0.006 0. 2.777 0. 0.


















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 110 106 0 564 0 0
normalized size 1 1. 1.2 1.15 0. 6.13 0. 0.
time (sec) N/A 0.102 0.166 0.008 0. 2.708 0. 0.


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 149 203 0 672 0 0
normalized size 1 1. 1.16 1.57 0. 5.21 0. 0.
time (sec) N/A 0.154 0.217 0.009 0. 2.902 0. 0.


















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 179 275 0 801 0 0
normalized size 1 1. 1.07 1.65 0. 4.8 0. 0.
time (sec) N/A 0.228 0.201 0.007 0. 3.057 0. 0.


















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 331 331 145 387 0 439 366 0
normalized size 1 1. 0.44 1.17 0. 1.33 1.11 0.
time (sec) N/A 0.547 0.179 0.072 0. 2.495 4.164 0.


















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 107 219 0 352 243 0
normalized size 1 1. 0.51 1.04 0. 1.67 1.15 0.
time (sec) N/A 0.375 0.137 0.056 0. 2.51 1.736 0.


















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 79 113 0 277 138 0
normalized size 1 1. 0.63 0.9 0. 2.2 1.1 0.
time (sec) N/A 0.236 0.08 0.04 0. 2.543 0.785 0.


















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 47 46 0 217 63 0
normalized size 1 1. 1.04 1.02 0. 4.82 1.4 0.
time (sec) N/A 0.051 0.022 0.027 0. 2.426 0.263 0.


















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 205 205 251 0 0 0 0 0
normalized size 1 1. 1.22 0. 0. 0. 0. 0.
time (sec) N/A 0.35 0.03 0.11 0. 0. 0. 0.


















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 178 217 0 0 0 0
normalized size 1 1. 1. 1.22 0. 0. 0. 0.
time (sec) N/A 0.383 0.112 0.136 0. 0. 0. 0.


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 235 235 279 384 0 0 0 0
normalized size 1 1. 1.19 1.63 0. 0. 0. 0.
time (sec) N/A 0.486 0.124 0.224 0. 0. 0. 0.


















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 478 478 1830 730 0 0 0 0
normalized size 1 1. 3.83 1.53 0. 0. 0. 0.
time (sec) N/A 1.573 10.313 0.39 0. 0. 0. 0.


















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 355 355 175 326 0 556 432 0
normalized size 1 1. 0.49 0.92 0. 1.57 1.22 0.
time (sec) N/A 0.45 0.198 0.06 0. 2.556 3.914 0.


















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 129 169 0 444 248 0
normalized size 1 1. 0.64 0.83 0. 2.19 1.22 0.
time (sec) N/A 0.303 0.127 0.042 0. 2.468 1.656 0.


















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 70 67 0 346 109 0
normalized size 1 1. 0.9 0.86 0. 4.44 1.4 0.
time (sec) N/A 0.074 0.029 0.028 0. 2.387 0.727 0.


















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 346 0 0 0 0 0
normalized size 1 1. 1.26 0. 0. 0. 0. 0.
time (sec) N/A 0.398 0.033 0.106 0. 0. 0. 0.


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 259 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.58 0.112 0.177 0. 0. 0. 0.


















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 514 514 524 0 0 0 0 0
normalized size 1 1. 1.02 0. 0. 0. 0. 0.
time (sec) N/A 0.883 0.236 0.299 0. 0. 0. 0.


















Problem 81 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 60 60 44 49 0 0 0 0
normalized size 1 1. 0.73 0.82 0. 0. 0. 0.
time (sec) N/A 0.527 0.136 0.04 0. 0. 0. 0.


















Problem 82 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 30 30 30 27 0 0 0 0
normalized size 1 1. 1. 0.9 0. 0. 0. 0.
time (sec) N/A 0.211 0.051 0.03 0. 0. 0. 0.


















Problem 83 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 11 11 11 12 0 0 0 0
normalized size 1 1. 1. 1.09 0. 0. 0. 0.
time (sec) N/A 0.023 0.007 0.023 0. 0. 0. 0.


















Problem 84 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 14 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 0.19 0.091 0. 0. 0. 0.


















Problem 85 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 154 154 83 146 0 0 0 0
normalized size 1 1. 0.54 0.95 0. 0. 0. 0.
time (sec) N/A 0.216 0.436 0.051 0. 0. 0. 0.


















Problem 86 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 84 84 62 73 0 0 0 0
normalized size 1 1. 0.74 0.87 0. 0. 0. 0.
time (sec) N/A 0.132 0.162 0.036 0. 0. 0. 0.


















Problem 87 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 38 38 35 34 0 0 0 0
normalized size 1 1. 0.92 0.89 0. 0. 0. 0.
time (sec) N/A 0.073 0.022 0.027 0. 0. 0. 0.


















Problem 88 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 14 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.039 2.043 0.088 0. 0. 0. 0.


















Problem 89 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 257 257 110 215 0 0 0 0
normalized size 1 1. 0.43 0.84 0. 0. 0. 0.
time (sec) N/A 0.497 0.391 0.053 0. 0. 0. 0.


















Problem 90 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 147 147 117 107 0 0 0 0
normalized size 1 1. 0.8 0.73 0. 0. 0. 0.
time (sec) N/A 0.25 0.102 0.037 0. 0. 0. 0.


















Problem 91 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 63 63 53 51 0 0 0 0
normalized size 1 1. 0.84 0.81 0. 0. 0. 0.
time (sec) N/A 0.079 0.07 0.024 0. 0. 0. 0.


















Problem 92 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 14 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 2.025 0.101 0. 0. 0. 0.


















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.053 0.419 0.132 0. 0. 0. 0.


















Problem 94 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 545 545 345 0 0 0 0 0
normalized size 1 1. 0.63 0. 0. 0. 0. 0.
time (sec) N/A 1.152 0.967 0.216 0. 0. 0. 0.


















Problem 95 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 267 267 228 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.483 0.18 0.151 0. 0. 0. 0.


















Problem 96 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 128 128 109 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.124 0.113 0.104 0. 0. 0. 0.


















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.06 0.171 0.122 0. 0. 0. 0.


















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 496 496 656 0 0 0 0 0
normalized size 1 1. 1.32 0. 0. 0. 0. 0.
time (sec) N/A 1.847 1.807 0.28 0. 0. 0. 0.


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 259 259 251 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.7 1.766 0.161 0. 0. 0. 0.


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 115 115 111 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.249 0.074 0.079 0. 0. 0. 0.


















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 326 326 582 0 0 0 0 0
normalized size 1 1. 1.79 0. 0. 0. 0. 0.
time (sec) N/A 0.965 5.199 0.159 0. 0. 0. 0.


















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 150 150 272 0 0 0 0 0
normalized size 1 1. 1.81 0. 0. 0. 0. 0.
time (sec) N/A 0.249 0.141 0.083 0. 0. 0. 0.


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 389 389 939 0 0 0 0 0
normalized size 1 1. 2.41 0. 0. 0. 0. 0.
time (sec) N/A 1.126 9.256 0.166 0. 0. 0. 0.


















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 179 179 458 0 0 0 0 0
normalized size 1 1. 2.56 0. 0. 0. 0. 0.
time (sec) N/A 0.388 1.432 0.086 0. 0. 0. 0.


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 411 411 471 0 0 0 0 0
normalized size 1 1. 1.15 0. 0. 0. 0. 0.
time (sec) N/A 0.857 1.041 0.264 0. 0. 0. 0.


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 204 204 217 0 0 0 0 0
normalized size 1 1. 1.06 0. 0. 0. 0. 0.
time (sec) N/A 0.392 0.96 0.167 0. 0. 0. 0.


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 92 92 111 0 0 0 0 0
normalized size 1 1. 1.21 0. 0. 0. 0. 0.
time (sec) N/A 0.129 0.108 0.092 0. 0. 0. 0.


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 269 269 301 0 0 0 0 0
normalized size 1 1. 1.12 0. 0. 0. 0. 0.
time (sec) N/A 0.542 2.554 0.158 0. 0. 0. 0.


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 122 122 155 0 0 0 0 0
normalized size 1 1. 1.27 0. 0. 0. 0. 0.
time (sec) N/A 0.239 0.063 0.087 0. 0. 0. 0.


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 365 365 375 0 0 0 0 0
normalized size 1 1. 1.03 0. 0. 0. 0. 0.
time (sec) N/A 0.883 2.606 0.165 0. 0. 0. 0.


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 158 158 207 0 0 0 0 0
normalized size 1 1. 1.31 0. 0. 0. 0. 0.
time (sec) N/A 0.276 0.553 0.085 0. 0. 0. 0.


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 445 445 429 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 1.047 2.504 0.156 0. 0. 0. 0.


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 195 195 238 0 0 0 0 0
normalized size 1 1. 1.22 0. 0. 0. 0. 0.
time (sec) N/A 0.411 0.113 0.091 0. 0. 0. 0.


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 79 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.073 0.044 1.579 0. 0. 0. 0.


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 71 93 0 608 527 0
normalized size 1 1. 0.71 0.93 0. 6.08 5.27 0.
time (sec) N/A 0.079 0.098 0.01 0. 2.433 4.663 0.


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 83 86 0 495 394 807
normalized size 1 1. 0.79 0.82 0. 4.71 3.75 7.69
time (sec) N/A 0.07 0.073 0.005 0. 2.343 2.329 2.721


















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 64 73 0 365 258 548
normalized size 1 1. 0.84 0.96 0. 4.8 3.39 7.21
time (sec) N/A 0.066 0.044 0.006 0. 2.395 1.211 2.287


















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 57 62 0 257 148 331
normalized size 1 1. 0.84 0.91 0. 3.78 2.18 4.87
time (sec) N/A 0.039 0.062 0.004 0. 2.401 0.437 1.964


















Problem 119 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 39 39 50 36 47 154 51 134
normalized size 1 1. 1.28 0.92 1.21 3.95 1.31 3.44
time (sec) N/A 0.023 0.028 0.002 1.118 2.424 0.183 1.396


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 81 81 70 159 0 0 0 0
normalized size 1 1. 0.86 1.96 0. 0. 0. 0.
time (sec) N/A 0.112 0.024 0.033 0. 0. 0. 0.


















Problem 121 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 49 49 44 54 0 410 0 177
normalized size 1 1. 0.9 1.1 0. 8.37 0. 3.61
time (sec) N/A 0.054 0.032 0.005 0. 2.738 0. 1.353


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 47 60 158 257 0 0
normalized size 1 1. 0.8 1.02 2.68 4.36 0. 0.
time (sec) N/A 0.051 0.05 0.003 1.139 2.636 0. 0.


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 74 74 0 760 0 0
normalized size 1 1. 0.88 0.88 0. 9.05 0. 0.
time (sec) N/A 0.071 0.087 0.006 0. 2.828 0. 0.


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 61 80 348 448 0 0
normalized size 1 1. 0.68 0.89 3.87 4.98 0. 0.
time (sec) N/A 0.067 0.057 0.004 1.236 2.812 0. 0.


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 64 94 0 1116 0 0
normalized size 1 1. 0.56 0.82 0. 9.7 0. 0.
time (sec) N/A 0.086 0.034 0.006 0. 3.353 0. 0.


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 155 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.207 0.13 1.458 0. 0. 0. 0.


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 192 282 0 1331 1268 0
normalized size 1 1. 0.97 1.43 0. 6.76 6.44 0.
time (sec) N/A 0.307 0.248 0.039 0. 2.694 11.104 0.


















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 170 229 0 1034 916 0
normalized size 1 1. 0.99 1.33 0. 6.01 5.33 0.
time (sec) N/A 0.258 0.19 0.043 0. 2.789 6.293 0.


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 147 192 0 767 610 0
normalized size 1 1. 1.08 1.41 0. 5.64 4.49 0.
time (sec) N/A 0.205 0.166 0.033 0. 2.896 3.183 0.


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 120 135 0 533 335 0
normalized size 1 1. 1.17 1.31 0. 5.17 3.25 0.
time (sec) N/A 0.145 0.177 0.027 0. 2.969 1.094 0.


















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 87 90 0 333 143 0
normalized size 1 1. 1.53 1.58 0. 5.84 2.51 0.
time (sec) N/A 0.07 0.096 0.028 0. 2.667 0.401 0.


















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 116 115 100 404 0 0 0 0
normalized size 1 0.99 0.86 3.48 0. 0. 0. 0.
time (sec) N/A 0.198 0.046 0.031 0. 0. 0. 0.


















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 100 100 154 229 0 0 0 0
normalized size 1 1. 1.54 2.29 0. 0. 0. 0.
time (sec) N/A 0.176 0.591 0.046 0. 0. 0. 0.


















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 120 180 311 714 0 0
normalized size 1 1. 1.41 2.12 3.66 8.4 0. 0.
time (sec) N/A 0.137 0.238 0.062 1.296 3.043 0. 0.


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 169 169 212 310 0 0 0 0
normalized size 1 1. 1.25 1.83 0. 0. 0. 0.
time (sec) N/A 0.247 1.679 0.08 0. 0. 0. 0.


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 86 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.173 3.502 1.48 0. 0. 0. 0.


















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 326 326 355 548 0 2325 2518 0
normalized size 1 1. 1.09 1.68 0. 7.13 7.72 0.
time (sec) N/A 0.474 0.466 0.05 0. 3.17 25.807 0.


















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 279 279 303 433 0 1773 1828 0
normalized size 1 1. 1.09 1.55 0. 6.35 6.55 0.
time (sec) N/A 0.386 0.384 0.041 0. 3.051 12.647 0.


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 227 258 360 0 1285 1173 0
normalized size 1 1. 1.14 1.59 0. 5.66 5.17 0.
time (sec) N/A 0.3 0.311 0.037 0. 2.878 7.2 0.


















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 200 243 0 891 685 0
normalized size 1 1. 1.24 1.51 0. 5.53 4.25 0.
time (sec) N/A 0.213 0.214 0.032 0. 2.78 2.8 0.


















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 147 160 0 548 282 0
normalized size 1 1. 1.47 1.6 0. 5.48 2.82 0.
time (sec) N/A 0.108 0.157 0.029 0. 2.738 1.06 0.


















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 155 155 128 736 0 0 0 0
normalized size 1 1. 0.83 4.75 0. 0. 0. 0.
time (sec) N/A 0.224 0.047 0.053 0. 0. 0. 0.


















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 166 166 315 481 0 0 0 0
normalized size 1 1. 1.9 2.9 0. 0. 0. 0.
time (sec) N/A 0.255 0.779 0.046 0. 0. 0. 0.


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 157 157 229 409 0 0 0 0
normalized size 1 1. 1.46 2.61 0. 0. 0. 0.
time (sec) N/A 0.261 0.784 0.089 0. 0. 0. 0.


















Problem 145 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 261 261 694 651 0 0 0 0
normalized size 1 1. 2.66 2.49 0. 0. 0. 0.
time (sec) N/A 0.41 7.533 0.094 0. 0. 0. 0.


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 86 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.179 1.808 1.5 0. 0. 0. 0.


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 349 349 475 683 0 2631 2876 0
normalized size 1 1. 1.36 1.96 0. 7.54 8.24 0.
time (sec) N/A 0.673 0.593 0.065 0. 3.345 28.844 0.


















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 281 281 412 567 0 1894 1889 0
normalized size 1 1. 1.47 2.02 0. 6.74 6.72 0.
time (sec) N/A 0.485 0.441 0.04 0. 2.998 13.905 0.


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 300 371 0 1287 1027 0
normalized size 1 1. 1.54 1.9 0. 6.6 5.27 0.
time (sec) N/A 0.321 0.31 0.069 0. 2.97 6.312 0.


















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 226 245 0 784 444 0
normalized size 1 1. 1.97 2.13 0. 6.82 3.86 0.
time (sec) N/A 0.16 0.25 0.03 0. 2.751 2.2 0.


















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 186 186 157 1153 0 0 0 0
normalized size 1 1. 0.84 6.2 0. 0. 0. 0.
time (sec) N/A 0.259 0.064 0.06 0. 0. 0. 0.


















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 234 234 501 820 0 0 0 0
normalized size 1 1. 2.14 3.5 0. 0. 0. 0.
time (sec) N/A 0.317 1.764 0.047 0. 0. 0. 0.


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 186 186 360 723 0 0 0 0
normalized size 1 1. 1.94 3.89 0. 0. 0. 0.
time (sec) N/A 0.328 1.232 0.066 0. 0. 0. 0.


















Problem 154 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 385 385 1182 1202 0 0 0 0
normalized size 1 1. 3.07 3.12 0. 0. 0. 0.
time (sec) N/A 0.565 8.928 0.126 0. 0. 0. 0.


















Problem 155 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 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.06 1.115 0.622 0. 0. 0. 0.


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 213 209 151 194 0 0 0 0
normalized size 1 0.98 0.71 0.91 0. 0. 0. 0.
time (sec) N/A 0.469 0.302 0.164 0. 0. 0. 0.


















Problem 157 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 145 145 109 134 0 0 0 0
normalized size 1 1. 0.75 0.92 0. 0. 0. 0.
time (sec) N/A 0.34 0.212 0.079 0. 0. 0. 0.


















Problem 158 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 141 137 102 130 0 0 0 0
normalized size 1 0.97 0.72 0.92 0. 0. 0. 0.
time (sec) N/A 0.293 0.178 0.071 0. 0. 0. 0.


















Problem 159 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 69 69 61 66 0 0 0 0
normalized size 1 1. 0.88 0.96 0. 0. 0. 0.
time (sec) N/A 0.161 0.087 0.036 0. 0. 0. 0.


















Problem 160 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 58 58 49 60 0 0 0 0
normalized size 1 1. 0.84 1.03 0. 0. 0. 0.
time (sec) N/A 0.089 0.022 0.027 0. 0. 0. 0.


















Problem 161 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 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.066 0.815 0.135 0. 0. 0. 0.


















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 252 281 602 0 0 0 0
normalized size 1 0.98 1.1 2.35 0. 0. 0. 0.
time (sec) N/A 0.409 1.086 0.207 0. 0. 0. 0.


















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 193 388 0 0 0 0
normalized size 1 1. 1.03 2.06 0. 0. 0. 0.
time (sec) N/A 0.311 0.861 0.105 0. 0. 0. 0.


















Problem 164 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 184 180 138 342 0 0 0 0
normalized size 1 0.98 0.75 1.86 0. 0. 0. 0.
time (sec) N/A 0.285 0.733 0.093 0. 0. 0. 0.


















Problem 165 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 103 103 97 160 0 0 0 0
normalized size 1 1. 0.94 1.55 0. 0. 0. 0.
time (sec) N/A 0.148 0.295 0.049 0. 0. 0. 0.


















Problem 166 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 91 87 179 128 0 0 0 0
normalized size 1 0.96 1.97 1.41 0. 0. 0. 0.
time (sec) N/A 0.174 0.272 0.038 0. 0. 0. 0.


















Problem 167 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 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.064 1.406 0.125 0. 0. 0. 0.


















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 320 316 316 896 0 0 0 0
normalized size 1 0.99 0.99 2.8 0. 0. 0. 0.
time (sec) N/A 0.892 1.238 0.224 0. 0. 0. 0.


















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 247 179 579 0 0 0 0
normalized size 1 1. 0.72 2.34 0. 0. 0. 0.
time (sec) N/A 0.682 0.661 0.127 0. 0. 0. 0.


















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 305 216 507 0 0 0 0
normalized size 1 1.24 0.88 2.06 0. 0. 0. 0.
time (sec) N/A 0.612 0.729 0.114 0. 0. 0. 0.


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 120 239 0 0 0 0
normalized size 1 1. 0.77 1.53 0. 0. 0. 0.
time (sec) N/A 0.331 0.318 0.061 0. 0. 0. 0.


















Problem 172 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 125 125 100 190 0 0 0 0
normalized size 1 1. 0.8 1.52 0. 0. 0. 0.
time (sec) N/A 0.177 0.275 0.053 0. 0. 0. 0.


















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 1.02 0.142 0. 0. 0. 0.


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 410 406 410 1244 0 0 0 0
normalized size 1 0.99 1. 3.03 0. 0. 0. 0.
time (sec) N/A 0.878 1.914 0.258 0. 0. 0. 0.


















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 340 340 318 800 0 0 0 0
normalized size 1 1. 0.94 2.35 0. 0. 0. 0.
time (sec) N/A 0.696 1.12 0.151 0. 0. 0. 0.


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 331 327 258 709 0 0 0 0
normalized size 1 0.99 0.78 2.14 0. 0. 0. 0.
time (sec) N/A 0.675 0.791 0.14 0. 0. 0. 0.


















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 181 333 0 0 0 0
normalized size 1 1. 0.89 1.63 0. 0. 0. 0.
time (sec) N/A 0.341 0.791 0.072 0. 0. 0. 0.


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 156 130 272 0 0 0 0
normalized size 1 0.98 0.81 1.7 0. 0. 0. 0.
time (sec) N/A 0.267 0.436 0.062 0. 0. 0. 0.


















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.063 3.366 0.161 0. 0. 0. 0.


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 361 361 342 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.875 0.629 0.329 0. 0. 0. 0.


















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 272 272 223 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.665 0.282 0.195 0. 0. 0. 0.


















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO 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 0.65 0.39 0.209 0. 0. 0. 0.


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 164 164 140 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.429 0.098 0.092 0. 0. 0. 0.


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 115 115 111 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.246 0.082 0. 0. 0. 0. 0.


















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.088 2.03 0.141 0. 0. 0. 0.


















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 601 601 343 0 0 0 0 0
normalized size 1 1. 0.57 0. 0. 0. 0. 0.
time (sec) N/A 1.662 0.468 0.332 0. 0. 0. 0.


















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 360 360 225 0 0 0 0 0
normalized size 1 1. 0.62 0. 0. 0. 0. 0.
time (sec) N/A 1.059 0.287 0.196 0. 0. 0. 0.


















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 328 328 238 0 0 0 0 0
normalized size 1 1. 0.73 0. 0. 0. 0. 0.
time (sec) N/A 0.882 0.29 0.218 0. 0. 0. 0.


















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 205 205 142 0 0 0 0 0
normalized size 1 1. 0.69 0. 0. 0. 0. 0.
time (sec) N/A 0.483 0.105 0.137 0. 0. 0. 0.


















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 150 150 272 0 0 0 0 0
normalized size 1 1. 1.81 0. 0. 0. 0. 0.
time (sec) N/A 0.254 0.182 0. 0. 0. 0. 0.


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.103 1.415 0.158 0. 0. 0. 0.


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 701 701 342 0 0 0 0 0
normalized size 1 1. 0.49 0. 0. 0. 0. 0.
time (sec) N/A 2.203 0.698 0.323 0. 0. 0. 0.


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 455 455 223 0 0 0 0 0
normalized size 1 1. 0.49 0. 0. 0. 0. 0.
time (sec) N/A 1.52 0.314 0.194 0. 0. 0. 0.


















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 394 394 238 0 0 0 0 0
normalized size 1 1. 0.6 0. 0. 0. 0. 0.
time (sec) N/A 1.244 0.413 0.203 0. 0. 0. 0.


















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 262 262 126 0 0 0 0 0
normalized size 1 1. 0.48 0. 0. 0. 0. 0.
time (sec) N/A 0.731 0.076 0.093 0. 0. 0. 0.


















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 179 179 458 0 0 0 0 0
normalized size 1 1. 2.56 0. 0. 0. 0. 0.
time (sec) N/A 0.402 1.329 0. 0. 0. 0. 0.


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.105 1.072 0.154 0. 0. 0. 0.


















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 835 835 343 0 0 0 0 0
normalized size 1 1. 0.41 0. 0. 0. 0. 0.
time (sec) N/A 3.289 0.501 0.329 0. 0. 0. 0.


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 547 547 225 0 0 0 0 0
normalized size 1 1. 0.41 0. 0. 0. 0. 0.
time (sec) N/A 2.143 0.313 0.196 0. 0. 0. 0.


















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 481 481 238 0 0 0 0 0
normalized size 1 1. 0.49 0. 0. 0. 0. 0.
time (sec) N/A 1.68 0.328 0.204 0. 0. 0. 0.


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 305 305 125 0 0 0 0 0
normalized size 1 1. 0.41 0. 0. 0. 0. 0.
time (sec) N/A 0.796 0.079 0.098 0. 0. 0. 0.


















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 216 216 698 0 0 0 0 0
normalized size 1 1. 3.23 0. 0. 0. 0. 0.
time (sec) N/A 0.419 4.536 0.082 0. 0. 0. 0.


















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 1.076 0.153 0. 0. 0. 0.


















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 326 326 320 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.637 0.359 0.37 0. 0. 0. 0.


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 217 217 205 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.455 0.225 0.219 0. 0. 0. 0.


















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 214 214 217 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.455 0.232 0.224 0. 0. 0. 0.


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 113 113 119 0 0 0 0 0
normalized size 1 1. 1.05 0. 0. 0. 0. 0.
time (sec) N/A 0.243 0.066 0.115 0. 0. 0. 0.


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 92 92 111 0 0 0 0 0
normalized size 1 1. 1.21 0. 0. 0. 0. 0.
time (sec) N/A 0.126 0.064 0. 0. 0. 0. 0.


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.098 0.065 0.171 0. 0. 0. 0.


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 367 367 490 0 0 0 0 0
normalized size 1 1. 1.34 0. 0. 0. 0. 0.
time (sec) N/A 0.651 0.634 0.354 0. 0. 0. 0.


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 262 262 253 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.453 0.444 0.224 0. 0. 0. 0.


















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 255 255 327 0 0 0 0 0
normalized size 1 1. 1.28 0. 0. 0. 0. 0.
time (sec) N/A 0.465 0.359 0.247 0. 0. 0. 0.


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 148 148 147 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.231 0.112 0.105 0. 0. 0. 0.


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 122 122 155 0 0 0 0 0
normalized size 1 1. 1.27 0. 0. 0. 0. 0.
time (sec) N/A 0.255 0.114 0. 0. 0. 0. 0.


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.108 0.071 0.176 0. 0. 0. 0.


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 437 437 551 0 0 0 0 0
normalized size 1 1. 1.26 0. 0. 0. 0. 0.
time (sec) N/A 1.555 3.79 0.309 0. 0. 0. 0.


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 326 326 390 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 1.096 1.75 0.197 0. 0. 0. 0.


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 321 321 389 0 0 0 0 0
normalized size 1 1. 1.21 0. 0. 0. 0. 0.
time (sec) N/A 0.96 1.449 0.203 0. 0. 0. 0.


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 209 209 227 0 0 0 0 0
normalized size 1 1. 1.09 0. 0. 0. 0. 0.
time (sec) N/A 0.542 0.674 0.089 0. 0. 0. 0.


















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 158 158 207 0 0 0 0 0
normalized size 1 1. 1.31 0. 0. 0. 0. 0.
time (sec) N/A 0.285 0.297 0. 0. 0. 0. 0.


















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.109 0.076 0.158 0. 0. 0. 0.


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 531 531 701 0 0 0 0 0
normalized size 1 1. 1.32 0. 0. 0. 0. 0.
time (sec) N/A 1.467 2.585 0.298 0. 0. 0. 0.


















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 420 420 429 0 0 0 0 0
normalized size 1 1. 1.02 0. 0. 0. 0. 0.
time (sec) N/A 1.098 2.061 0.192 0. 0. 0. 0.


















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 410 410 474 0 0 0 0 0
normalized size 1 1. 1.16 0. 0. 0. 0. 0.
time (sec) N/A 1.11 1.443 0.208 0. 0. 0. 0.


















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 252 252 235 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.562 0.946 0.099 0. 0. 0. 0.


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 195 195 238 0 0 0 0 0
normalized size 1 1. 1.22 0. 0. 0. 0. 0.
time (sec) N/A 0.465 0.189 0. 0. 0. 0. 0.


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A F(-2) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 28 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.117 0.081 0.167 0. 0. 0. 0.


















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 298 298 113 238 0 0 0 0
normalized size 1 1. 0.38 0.8 0. 0. 0. 0.
time (sec) N/A 0.332 0.209 0.045 0. 0. 0. 0.


















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 113 212 0 0 0 0
normalized size 1 1. 0.64 1.2 0. 0. 0. 0.
time (sec) N/A 0.159 0.179 0.01 0. 0. 0. 0.


















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 87 205 0 0 0 0
normalized size 1 1. 0.33 0.79 0. 0. 0. 0.
time (sec) N/A 0.243 0.047 0.01 0. 0. 0. 0.


















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 87 179 0 0 0 0
normalized size 1 1. 0.61 1.26 0. 0. 0. 0.
time (sec) N/A 0.126 0.031 0.01 0. 0. 0. 0.


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 61 161 0 0 0 0
normalized size 1 1. 0.27 0.72 0. 0. 0. 0.
time (sec) N/A 0.212 0.03 0.011 0. 0. 0. 0.


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 56 140 0 0 0 0
normalized size 1 1. 0.53 1.32 0. 0. 0. 0.
time (sec) N/A 0.113 0.025 0.009 0. 0. 0. 0.


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 266 58 202 0 0 0 0
normalized size 1 1. 0.22 0.76 0. 0. 0. 0.
time (sec) N/A 0.238 0.029 0.011 0. 0. 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 61 176 0 0 0 0
normalized size 1 1. 0.42 1.21 0. 0. 0. 0.
time (sec) N/A 0.136 0.036 0.014 0. 0. 0. 0.


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 110 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.212 0.133 0.275 0. 0. 0. 0.


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 110 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.221 0.12 0.259 0. 0. 0. 0.


















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 110 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.217 0.101 0.257 0. 0. 0. 0.


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 110 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.209 0.085 0.275 0. 0. 0. 0.


















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 110 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.203 0.062 0.337 0. 0. 0. 0.


















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 109 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.222 0.098 0.249 0. 0. 0. 0.


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 106 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.226 0.075 0.247 0. 0. 0. 0.


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 110 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.23 0.086 0.25 0. 0. 0. 0.


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.208 85.427 0.25 0. 0. 0. 0.


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.203 99.817 0.255 0. 0. 0. 0.


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.209 67.719 0.258 0. 0. 0. 0.


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 79 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.202 89.133 0.263 0. 0. 0. 0.


















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 77 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.183 8.703 0.19 0. 0. 0. 0.


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 77 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.193 18.941 0.251 0. 0. 0. 0.


















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 79 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.209 21.077 0.25 0. 0. 0. 0.


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.217 69.217 0.25 0. 0. 0. 0.


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.206 93.713 0.257 0. 0. 0. 0.


















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.207 122.473 0.261 0. 0. 0. 0.


















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.206 79.35 0.26 0. 0. 0. 0.


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.194 113.666 0.271 0. 0. 0. 0.


















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A F(-1)
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 77 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.182 8.669 0.199 0. 0. 0. 0.


















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 77 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.194 35.136 0.251 0. 0. 0. 0.


















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.206 40.104 0.26 0. 0. 0. 0.


















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 81 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.207 102.925 0.259 0. 0. 0. 0.


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 127 204 0 495 0 0
normalized size 1 1. 0.97 1.56 0. 3.78 0. 0.
time (sec) N/A 0.189 0.108 0.084 0. 2.714 0. 0.


















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 110 167 0 401 0 0
normalized size 1 1. 1.03 1.56 0. 3.75 0. 0.
time (sec) N/A 0.119 0.085 0.052 0. 2.674 0. 0.


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 61 91 0 240 0 0
normalized size 1 1. 1. 1.49 0. 3.93 0. 0.
time (sec) N/A 0.068 0.055 0.047 0. 2.607 0. 0.


















Problem 263 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 31 31 24 28 0 0 0 0
normalized size 1 1. 0.77 0.9 0. 0. 0. 0.
time (sec) N/A 0.119 0.063 0.052 0. 0. 0. 0.


















Problem 264 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 36 36 47 44 0 0 0 0
normalized size 1 1. 1.31 1.22 0. 0. 0. 0.
time (sec) N/A 0.115 0.058 0.049 0. 0. 0. 0.


















Problem 265 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 69 69 85 63 0 0 0 0
normalized size 1 1. 1.23 0.91 0. 0. 0. 0.
time (sec) N/A 0.106 0.267 0.054 0. 0. 0. 0.


















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 235 235 266 592 0 792 694 0
normalized size 1 1. 1.13 2.52 0. 3.37 2.95 0.
time (sec) N/A 0.309 0.228 0.066 0. 2.874 33.8 0.


















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 189 189 211 479 0 612 568 0
normalized size 1 1. 1.12 2.53 0. 3.24 3.01 0.
time (sec) N/A 0.19 0.156 0.063 0. 2.819 16.214 0.


















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 124 262 0 374 298 0
normalized size 1 1. 1.17 2.47 0. 3.53 2.81 0.
time (sec) N/A 0.104 0.091 0.055 0. 2.691 7.344 0.


















Problem 269 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 47 47 37 42 0 0 0 0
normalized size 1 1. 0.79 0.89 0. 0. 0. 0.
time (sec) N/A 0.144 0.286 0.048 0. 0. 0. 0.


















Problem 270 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 54 54 70 72 0 0 0 0
normalized size 1 1. 1.3 1.33 0. 0. 0. 0.
time (sec) N/A 0.157 0.265 0.05 0. 0. 0. 0.


















Problem 271 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 84 84 108 110 0 0 0 0
normalized size 1 1. 1.29 1.31 0. 0. 0. 0.
time (sec) N/A 0.281 0.36 0.052 0. 0. 0. 0.


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 0 78 26 43
normalized size 1 1. 1. 0.93 0. 5.2 1.73 2.87
time (sec) N/A 0.069 0.019 0.049 0. 2.562 1.408 1.713


















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 0 78 26 43
normalized size 1 1. 1. 0.93 0. 5.2 1.73 2.87
time (sec) N/A 0.068 0.018 0.04 0. 2.58 0.989 1.505


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 0 78 24 43
normalized size 1 1. 1. 0.93 0. 5.2 1.6 2.87
time (sec) N/A 0.042 0.015 0.045 0. 2.706 0.821 1.391


















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 12 0 77 22 42
normalized size 1 1. 1. 1.09 0. 7. 2. 3.82
time (sec) N/A 0.075 0.03 0.043 0. 2.635 1.178 1.285


















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 14 203 77 26 43
normalized size 1 1. 1. 1.08 15.62 5.92 2. 3.31
time (sec) N/A 0.075 0.014 0.042 1.321 2.678 1.734 1.375


















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 0 82 29 43
normalized size 1 1. 1. 0.93 0. 5.47 1.93 2.87
time (sec) N/A 0.07 0.013 0.043 0. 2.613 2.688 1.402


















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 115 115 128 203 0 0 0 0
normalized size 1 1. 1.11 1.77 0. 0. 0. 0.
time (sec) N/A 0.206 0.57 0.1 0. 0. 0. 0.


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 86 86 98 168 0 0 0 0
normalized size 1 1. 1.14 1.95 0. 0. 0. 0.
time (sec) N/A 0.16 0.382 0.096 0. 0. 0. 0.


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 62 131 0 274 0 103
normalized size 1 1. 1.35 2.85 0. 5.96 0. 2.24
time (sec) N/A 0.058 0.089 0.094 0. 2.806 0. 1.319


















Problem 281 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 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.082 0.551 0.113 0. 0. 0. 0.


















Problem 282 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 54 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.117 2.696 0.097 0. 0. 0. 0.


















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 44 67 138 115 42 100
normalized size 1 1. 0.88 1.34 2.76 2.3 0.84 2.
time (sec) N/A 0.037 0.018 0.03 1.166 2.589 1.243 1.325


















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 75 89 0 0 0 0
normalized size 1 1. 0.74 0.88 0. 0. 0. 0.
time (sec) N/A 0.044 0.121 0.016 0. 0. 0. 0.


















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 31 41 89 27 54
normalized size 1 1. 1. 0.91 1.21 2.62 0.79 1.59
time (sec) N/A 0.022 0.015 0.001 1.148 2.655 0.252 1.3


















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 35 77 0 0 0 0
normalized size 1 1. 0.22 0.48 0. 0. 0. 0.
time (sec) N/A 0.054 0.005 0.005 0. 0. 0. 0.


















Problem 287 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 54 54 54 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 0.007 0.048 0. 0. 0. 0.


















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 42 66 0 0 0 0
normalized size 1 1. 0.56 0.88 0. 0. 0. 0.
time (sec) N/A 0.023 0.037 0.006 0. 0. 0. 0.


















Problem 289 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 33 33 33 28 62 242 0 78
normalized size 1 1. 1. 0.85 1.88 7.33 0. 2.36
time (sec) N/A 0.026 0.006 0.01 1.111 3.029 0. 1.264


















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 88 101 0 0 0 0
normalized size 1 1. 0.45 0.51 0. 0. 0. 0.
time (sec) N/A 0.09 0.156 0.009 0. 0. 0. 0.


















Problem 291 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 54 54 54 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 0.008 0.036 0. 0. 0. 0.


















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 72 72 43 47 62 128 0 68
normalized size 1 1. 0.6 0.65 0.86 1.78 0. 0.94
time (sec) N/A 0.025 0.021 0.01 1.697 2.708 0. 1.381


















Problem 293 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 56 56 37 37 49 112 0 65
normalized size 1 1. 0.66 0.66 0.88 2. 0. 1.16
time (sec) N/A 0.017 0.017 0.004 1.689 2.69 0. 1.314


















Problem 294 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 24 31 92 29 54
normalized size 1 1. 0.94 0.69 0.89 2.63 0.83 1.54
time (sec) N/A 0.011 0.038 0.002 1.752 2.613 0.359 1.579


















Problem 295 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 46 46 46 78 0 0 0 0
normalized size 1 1. 1. 1.7 0. 0. 0. 0.
time (sec) N/A 0.064 0.007 0.026 0. 0. 0. 0.


















Problem 296 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 26 26 26 21 27 74 0 47
normalized size 1 1. 1. 0.81 1.04 2.85 0. 1.81
time (sec) N/A 0.013 0.009 0.005 1.612 2.668 0. 1.213


















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 34 31 41 97 0 70
normalized size 1 1. 0.74 0.67 0.89 2.11 0. 1.52
time (sec) N/A 0.017 0.012 0.004 1.66 2.849 0. 1.352


















Problem 298 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 62 62 39 41 54 112 0 90
normalized size 1 1. 0.63 0.66 0.87 1.81 0. 1.45
time (sec) N/A 0.022 0.015 0.006 1.661 3.056 0. 1.323


















Problem 299 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 78 78 44 51 68 124 0 111
normalized size 1 1. 0.56 0.65 0.87 1.59 0. 1.42
time (sec) N/A 0.027 0.017 0.006 1.809 3.185 0. 1.356


















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 57 54 93 290 0 103
normalized size 1 1. 1.02 0.96 1.66 5.18 0. 1.84
time (sec) N/A 0.04 0.038 0.017 1.13 2.952 0. 1.327


















Problem 301 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 29 38 36 105 0 65
normalized size 1 1. 0.88 1.15 1.09 3.18 0. 1.97
time (sec) N/A 0.017 0.022 0.005 1.044 2.68 0. 1.315


















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 77 31 58 219 0 68
normalized size 1 1. 3.08 1.24 2.32 8.76 0. 2.72
time (sec) N/A 0.017 0.089 0.006 1.135 2.752 0. 1.321


















Problem 303 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 52 52 52 114 0 0 0 0
normalized size 1 1. 1. 2.19 0. 0. 0. 0.
time (sec) N/A 0.062 0.007 0.006 0. 0. 0. 0.


















Problem 304 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 29 29 29 31 41 101 20 53
normalized size 1 1. 1. 1.07 1.41 3.48 0.69 1.83
time (sec) N/A 0.024 0.015 0.003 1.113 2.683 2.662 1.369


















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 44 46 131 130 0 124
normalized size 1 1. 0.88 0.92 2.62 2.6 0. 2.48
time (sec) N/A 0.034 0.022 0.004 1.1 2.682 0. 1.419


















Problem 306 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 54 54 48 53 63 136 0 101
normalized size 1 1. 0.89 0.98 1.17 2.52 0. 1.87
time (sec) N/A 0.04 0.028 0.006 1.209 2.756 0. 1.394


















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 74 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.044 0.074 0.07 0. 0. 0. 0.


















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 66 0 0 0 0 0
normalized size 1 1. 1.03 0. 0. 0. 0. 0.
time (sec) N/A 0.035 0.047 0.014 0. 0. 0. 0.


















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 58 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.03 0.046 0.01 0. 0. 0. 0.


















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 56 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.025 0.011 0. 0. 0. 0.


















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 60 133 0 0 0 0
normalized size 1 1. 1. 2.22 0. 0. 0. 0.
time (sec) N/A 0.066 0.008 0.003 0. 0. 0. 0.


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 61 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.033 0.053 0.01 0. 0. 0. 0.


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 62 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.044 0.011 0. 0. 0. 0.


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 149 0 0 648 0 0
normalized size 1 1. 0.97 0. 0. 4.24 0. 0.
time (sec) N/A 0.036 0.117 0.159 0. 2.824 0. 0.


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 180 0 0 458 0 0
normalized size 1 1. 1.4 0. 0. 3.55 0. 0.
time (sec) N/A 0.064 0.134 0.105 0. 2.729 0. 0.


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 76 0 0 288 0 0
normalized size 1 1. 1. 0. 0. 3.79 0. 0.
time (sec) N/A 0.015 0.026 0.112 0. 2.645 0. 0.


















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 48 47 59 138 0 0
normalized size 1 1. 0.96 0.94 1.18 2.76 0. 0.
time (sec) N/A 0.04 0.024 0.014 1.214 2.677 0. 0.


















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 150 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.048 0.711 0.066 0. 0. 0. 0.


















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 245 197 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.043 1.322 0.064 0. 0. 0. 0.


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 229 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.054 0.552 0.066 0. 0. 0. 0.


















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 149 0 0 648 0 0
normalized size 1 1. 0.97 0. 0. 4.24 0. 0.
time (sec) N/A 0.032 0.117 0.125 0. 2.798 0. 0.


















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 180 0 0 458 0 0
normalized size 1 1. 1.4 0. 0. 3.55 0. 0.
time (sec) N/A 0.059 0.133 0.108 0. 2.796 0. 0.


















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 76 0 0 288 0 0
normalized size 1 1. 1. 0. 0. 3.79 0. 0.
time (sec) N/A 0.013 0.017 0.11 0. 2.618 0. 0.


















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 48 48 59 138 0 0
normalized size 1 1. 0.96 0.96 1.18 2.76 0. 0.
time (sec) N/A 0.039 0.027 0.015 1.192 2.649 0. 0.


















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 191 191 146 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.64 0.058 0. 0. 0. 0.


















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 244 244 196 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.029 1.367 0.068 0. 0. 0. 0.


















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 272 272 227 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.051 0.72 0.06 0. 0. 0. 0.


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 348 348 337 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.112 0.271 0.102 0. 0. 0. 0.


















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 312 312 258 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.105 0.216 0.058 0. 0. 0. 0.


















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 263 263 259 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.027 0.052 0.065 0. 0. 0. 0.


















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 180 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.03 0.004 0.063 0. 0. 0. 0.


















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 291 291 291 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.052 0.366 0.062 0. 0. 0. 0.


















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 326 326 308 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.072 0.774 0.059 0. 0. 0. 0.


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 389 389 365 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.088 0.921 0.061 0. 0. 0. 0.


















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 348 348 337 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.097 0.278 0.066 0. 0. 0. 0.


















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 310 310 255 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.096 0.253 0.059 0. 0. 0. 0.


















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 262 262 259 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.028 0.052 0.062 0. 0. 0. 0.


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 180 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.028 0.004 0.063 0. 0. 0. 0.


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 291 291 291 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 0.357 0.065 0. 0. 0. 0.


















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-2) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 326 326 308 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.073 0.787 0.06 0. 0. 0. 0.


















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 389 389 370 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.081 0.914 0.062 0. 0. 0. 0.


















Problem 342 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 42 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 0.089 0.46 0. 0. 0. 0.


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A NO NO TBD TBD TBD TBD TBD
size 261 261 244 1175 0 0 0 0
normalized size 1 1. 0.93 4.5 0. 0. 0. 0.
time (sec) N/A 0.226 0.057 0.72 0. 0. 0. 0.


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A NO NO TBD TBD TBD TBD TBD
size 194 195 187 649 0 0 0 0
normalized size 1 1.01 0.96 3.35 0. 0. 0. 0.
time (sec) N/A 0.216 0.06 0.007 0. 0. 0. 0.


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A NO NO TBD TBD TBD TBD TBD
size 133 133 127 263 0 0 0 0
normalized size 1 1. 0.95 1.98 0. 0. 0. 0.
time (sec) N/A 0.122 0.028 0.006 0. 0. 0. 0.


















Problem 346 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 42 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 0.093 0.24 0. 0. 0. 0.


















Problem 347 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 42 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.045 0.774 0.237 0. 0. 0. 0.


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 76 166 0 0 0 0
normalized size 1 1. 1. 2.18 0. 0. 0. 0.
time (sec) N/A 0.076 0.491 0.023 0. 0. 0. 0.


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 165 165 119 322 0 321 0 234
normalized size 1 1. 0.72 1.95 0. 1.95 0. 1.42
time (sec) N/A 0.172 0.081 0.006 0. 2.85 0. 1.327


















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 115 115 102 264 0 266 0 189
normalized size 1 1. 0.89 2.3 0. 2.31 0. 1.64
time (sec) N/A 0.125 0.105 0.005 0. 2.891 0. 1.36


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 67 67 73 138 0 212 0 143
normalized size 1 1. 1.09 2.06 0. 3.16 0. 2.13
time (sec) N/A 0.071 0.099 0.003 0. 2.606 0. 1.346


















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 31 31 46 89 0 169 0 108
normalized size 1 1. 1.48 2.87 0. 5.45 0. 3.48
time (sec) N/A 0.017 0.032 0.003 0. 2.587 0. 1.482


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 89 89 99 126 0 335 0 0
normalized size 1 1. 1.11 1.42 0. 3.76 0. 0.
time (sec) N/A 0.121 0.074 0.004 0. 2.624 0. 0.


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 99 99 110 267 0 437 0 0
normalized size 1 1. 1.11 2.7 0. 4.41 0. 0.
time (sec) N/A 0.105 0.159 0.009 0. 2.723 0. 0.


















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 116 116 129 457 0 423 0 0
normalized size 1 1. 1.11 3.94 0. 3.65 0. 0.
time (sec) N/A 0.086 0.194 0.009 0. 2.637 0. 0.


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 156 156 162 501 0 533 0 0
normalized size 1 1. 1.04 3.21 0. 3.42 0. 0.
time (sec) N/A 0.108 0.107 0.009 0. 2.641 0. 0.


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 207 207 192 841 0 683 0 0
normalized size 1 1. 0.93 4.06 0. 3.3 0. 0.
time (sec) N/A 0.171 0.739 0.01 0. 2.879 0. 0.


















Problem 358 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 359 359 198 0 0 0 0 0
normalized size 1 1. 0.55 0. 0. 0. 0. 0.
time (sec) N/A 0.743 0.303 0.01 0. 0. 0. 0.


















Problem 359 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 251 251 138 0 0 0 0 0
normalized size 1 1. 0.55 0. 0. 0. 0. 0.
time (sec) N/A 0.516 0.183 0.01 0. 0. 0. 0.


















Problem 360 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 117 117 76 0 0 0 0 0
normalized size 1 1. 0.65 0. 0. 0. 0. 0.
time (sec) N/A 0.277 0.093 0.01 0. 0. 0. 0.


















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 44 0 0 0 0 0
normalized size 1 1. 0.68 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.032 0.005 0. 0. 0. 0.


















Problem 362 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 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.128 0.009 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 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.428 0.008 0. 0. 0. 0.


















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 52 125 0 0 0 0
normalized size 1 1. 0.87 2.08 0. 0. 0. 0.
time (sec) N/A 0.096 0.017 0.037 0. 0. 0. 0.


















Problem 365 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 3 3 3 4 0 0 0 0
normalized size 1 1. 1. 1.33 0. 0. 0. 0.
time (sec) N/A 0.06 0.058 0.047 0. 0. 0. 0.


















Problem 366 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 45 45 41 38 50 151 61 142
normalized size 1 1. 0.91 0.84 1.11 3.36 1.36 3.16
time (sec) N/A 0.049 0.025 0.003 1.112 2.429 1.13 1.39


















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 41 0 53 443 0 153
normalized size 1 1. 0.89 0. 1.15 9.63 0. 3.33
time (sec) N/A 0.05 0.037 0.067 1.135 2.781 0. 1.353


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 131 46 0 532 0 0
normalized size 1 1. 2.67 0.94 0. 10.86 0. 0.
time (sec) N/A 0.032 0.118 0.02 0. 2.627 0. 0.


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F A F A A F A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 27 0 28 0 1 4 0 1
normalized size 1 0. 1.04 0. 0.04 0.15 0. 0.04
time (sec) N/A 0.039 0.519 0.041 1.818 2.208 0. 1.352


















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 0 0 282 0 0
normalized size 1 1. 1. 0. 0. 7.62 0. 0.
time (sec) N/A 0.067 0.04 0.177 0. 2.789 0. 0.


















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 24 0 0 80 0 0
normalized size 1 1. 0.83 0. 0. 2.76 0. 0.
time (sec) N/A 0.062 0.021 0.146 0. 2.426 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 [74] had the largest ratio of [ 1.333 ]

Table 2.1Rubi specific breakdown of results for each integral














# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)







1 A 8 5 1. 12 0.417







2 A 10 6 1. 14 0.429







3 A 12 7 1. 14 0.5







4 A 5 5 1. 16 0.312







5 A 4 4 1. 16 0.25







6 A 4 4 1. 14 0.286







7 A 3 2 1. 8 0.25







8 A 8 5 1. 16 0.312







9 A 3 3 1. 16 0.188







10 A 4 4 1. 16 0.25







11 A 5 5 1. 16 0.312







12 A 18 7 1. 18 0.389







13 A 13 7 1. 18 0.389







14 A 9 7 1. 16 0.438







15 A 3 3 1. 10 0.3







16 A 10 6 1. 18 0.333







17 A 10 7 1. 18 0.389







18 A 13 10 1. 18 0.556







19 A 27 7 1. 18 0.389







20 A 17 6 1. 18 0.333







21 A 11 7 1. 16 0.438







22 A 4 4 1. 10 0.4







23 A 0 0 0. 0 0.







24 A 0 0 0. 0 0.







25 A 19 7 0.98 18 0.389







26 A 11 7 0.98 16 0.438







27 A 5 5 0.95 10 0.5







28 A 0 0 0. 0 0.







29 A 0 0 0. 0 0.







30 A 0 0 0. 0 0.







31 A 3 3 1. 16 0.188







32 A 0 0 0. 0 0.







33 A 0 0 0. 0 0.







34 A 16 12 1. 30 0.4







35 A 13 8 1. 30 0.267







36 A 8 6 1. 28 0.214







37 A 22 20 1. 30 0.667







38 A 35 22 1. 30 0.733







39 A 24 17 1. 30 0.567







40 A 20 12 1. 30 0.4







41 A 12 9 1. 28 0.321







42 A 29 24 1. 30 0.8







43 A 30 18 1. 30 0.6







44 A 26 15 1. 30 0.5







45 A 14 10 1. 28 0.357







46 A 37 29 1. 30 0.967







47 A 13 7 1. 30 0.233







48 A 9 7 1. 30 0.233







49 A 6 5 1. 28 0.179







50 A 2 2 1. 23 0.087







51 A 10 7 1. 30 0.233







52 A 13 10 1. 30 0.333







53 A 0 0 0. 0 0.







54 A 13 9 1. 34 0.265







55 A 11 8 1. 32 0.25







56 A 9 7 1. 24 0.292







57 A 0 0 0. 0 0.







58 A 6 6 1. 10 0.6







59 A 5 5 1. 10 0.5







60 A 5 5 1. 8 0.625







61 A 3 3 1. 6 0.5







62 A 9 6 1. 10 0.6







63 A 4 4 1. 10 0.4







64 A 5 5 1. 10 0.5







65 A 6 6 1. 10 0.6







66 A 7 7 1. 10 0.7







67 A 19 8 1. 12 0.667







68 A 14 8 1. 12 0.667







69 A 10 8 1. 10 0.8







70 A 4 4 1. 8 0.5







71 A 11 7 1. 12 0.583







72 A 11 8 1. 12 0.667







73 A 14 11 1. 12 0.917







74 A 40 16 1. 12 1.333







75 A 18 11 1. 12 0.917







76 A 12 10 1. 10 1.







77 A 5 4 1. 8 0.5







78 A 13 8 1. 12 0.667







79 A 13 9 1. 12 0.75







80 A 21 13 1. 12 1.083







81 A 14 8 1. 12 0.667







82 A 10 8 1. 10 0.8







83 A 3 3 1. 8 0.375







84 A 0 0 0. 0 0.







85 A 12 7 1. 12 0.583







86 A 8 7 1. 10 0.7







87 A 4 4 1. 8 0.5







88 A 0 0 0. 0 0.







89 A 24 12 1. 12 1.







90 A 14 12 1. 10 1.2







91 A 5 5 1. 8 0.625







92 A 0 0 0. 0 0.







93 A 0 0 0. 0 0.







94 A 22 9 1. 16 0.562







95 A 14 9 1. 14 0.643







96 A 5 4 1. 12 0.333







97 A 0 0 0. 0 0.







98 A 23 12 1. 18 0.667







99 A 14 10 1. 16 0.625







100 A 8 7 1. 14 0.5







101 A 16 10 1. 16 0.625







102 A 9 8 1. 14 0.571







103 A 18 10 1. 16 0.625







104 A 10 8 1. 14 0.571







105 A 20 9 1. 18 0.5







106 A 12 8 1. 16 0.5







107 A 7 6 1. 14 0.429







108 A 16 10 1. 16 0.625







109 A 8 7 1. 14 0.5







110 A 22 15 1. 16 0.938







111 A 9 8 1. 14 0.571







112 A 21 13 1. 16 0.812







113 A 10 8 1. 14 0.571







114 A 3 3 1. 21 0.143







115 A 6 5 1. 21 0.238







116 A 6 5 1. 21 0.238







117 A 6 5 1. 21 0.238







118 A 5 5 1. 19 0.263







119 A 4 3 1. 10 0.3







120 A 7 7 1. 21 0.333







121 A 6 6 1. 21 0.286







122 A 4 4 1. 21 0.19







123 A 7 7 1. 21 0.333







124 A 5 5 1. 21 0.238







125 A 8 7 1. 21 0.333







126 A 3 3 1. 23 0.13







127 A 9 7 1. 23 0.304







128 A 8 6 1. 23 0.261







129 A 7 7 1. 23 0.304







130 A 6 6 1. 21 0.286







131 A 4 4 1. 12 0.333







132 A 8 8 0.99 23 0.348







133 A 9 7 1. 23 0.304







134 A 5 5 1. 23 0.217







135 A 11 9 1. 23 0.391







136 A 0 0 0. 0 0.







137 A 17 9 1. 23 0.391







138 A 13 7 1. 23 0.304







139 A 12 9 1. 23 0.391







140 A 8 7 1. 21 0.333







141 A 6 4 1. 12 0.333







142 A 9 9 1. 23 0.391







143 A 11 8 1. 23 0.348







144 A 9 9 1. 23 0.391







145 A 16 12 1. 23 0.522







146 A 0 0 0. 0 0.







147 A 16 6 1. 23 0.261







148 A 13 8 1. 23 0.348







149 A 9 6 1. 21 0.286







150 A 6 4 1. 12 0.333







151 A 10 9 1. 23 0.391







152 A 13 9 1. 23 0.391







153 A 10 10 1. 23 0.435







154 A 21 12 1. 23 0.522







155 A 0 0 0. 0 0.







156 A 14 7 0.98 23 0.304







157 A 11 7 1. 23 0.304







158 A 11 7 0.97 23 0.304







159 A 8 7 1. 21 0.333







160 A 5 5 1. 12 0.417







161 A 0 0 0. 0 0.







162 A 13 6 0.98 23 0.261







163 A 10 6 1. 23 0.261







164 A 10 6 0.98 23 0.261







165 A 6 6 1. 21 0.286







166 A 6 6 0.96 12 0.5







167 A 0 0 0. 0 0.







168 A 26 9 0.99 23 0.391







169 A 20 9 1. 23 0.391







170 A 18 10 1.24 23 0.435







171 A 11 10 1. 21 0.476







172 A 7 7 1. 12 0.583







173 A 0 0 0. 0 0.







174 A 24 8 0.99 23 0.348







175 A 17 8 1. 23 0.348







176 A 18 10 0.99 23 0.435







177 A 9 9 1. 21 0.429







178 A 8 7 0.98 12 0.583







179 A 0 0 0. 0 0.







180 A 21 9 1. 25 0.36







181 A 16 9 1. 25 0.36







182 A 16 9 1. 25 0.36







183 A 11 9 1. 23 0.391







184 A 8 7 1. 14 0.5







185 A 0 0 0. 0 0.







186 A 43 12 1. 25 0.48







187 A 27 11 1. 25 0.44







188 A 24 12 1. 25 0.48







189 A 13 11 1. 23 0.478







190 A 9 8 1. 14 0.571







191 A 0 0 0. 0 0.







192 A 46 12 1. 25 0.48







193 A 29 11 1. 25 0.44







194 A 26 12 1. 25 0.48







195 A 14 11 1. 23 0.478







196 A 10 8 1. 14 0.571







197 A 0 0 0. 0 0.







198 A 77 13 1. 25 0.52







199 A 42 11 1. 25 0.44







200 A 35 13 1. 25 0.52







201 A 16 11 1. 23 0.478







202 A 11 8 1. 14 0.571







203 A 0 0 0. 0 0.







204 A 20 8 1. 25 0.32







205 A 15 8 1. 25 0.32







206 A 15 8 1. 25 0.32







207 A 10 8 1. 23 0.348







208 A 7 6 1. 14 0.429







209 A 0 0 0. 0 0.







210 A 19 7 1. 25 0.28







211 A 14 7 1. 25 0.28







212 A 14 7 1. 25 0.28







213 A 8 7 1. 23 0.304







214 A 8 7 1. 14 0.5







215 A 0 0 0. 0 0.







216 A 36 10 1. 25 0.4







217 A 26 10 1. 25 0.4







218 A 24 11 1. 25 0.44







219 A 13 11 1. 23 0.478







220 A 9 8 1. 14 0.571







221 A 0 0 0. 0 0.







222 A 34 9 1. 25 0.36







223 A 23 9 1. 25 0.36







224 A 24 11 1. 25 0.44







225 A 11 10 1. 23 0.435







226 A 10 8 1. 14 0.571







227 A 0 0 0. 0 0.







228 A 8 7 1. 23 0.304







229 A 6 5 1. 23 0.217







230 A 7 7 1. 23 0.304







231 A 5 5 1. 23 0.217







232 A 6 6 1. 23 0.261







233 A 4 4 1. 23 0.174







234 A 7 7 1. 23 0.304







235 A 5 5 1. 23 0.217







236 A 3 3 1. 25 0.12







237 A 3 3 1. 25 0.12







238 A 3 3 1. 25 0.12







239 A 3 3 1. 25 0.12







240 A 3 3 1. 25 0.12







241 A 3 3 1. 25 0.12







242 A 3 3 1. 25 0.12







243 A 3 3 1. 25 0.12







244 A 0 0 0. 0 0.







245 A 0 0 0. 0 0.







246 A 0 0 0. 0 0.







247 A 0 0 0. 0 0.







248 A 0 0 0. 0 0.







249 A 0 0 0. 0 0.







250 A 0 0 0. 0 0.







251 A 0 0 0. 0 0.







252 A 0 0 0. 0 0.







253 A 0 0 0. 0 0.







254 A 0 0 0. 0 0.







255 A 0 0 0. 0 0.







256 A 0 0 0. 0 0.







257 A 0 0 0. 0 0.







258 A 0 0 0. 0 0.







259 A 0 0 0. 0 0.







260 A 7 6 1. 30 0.2







261 A 6 6 1. 30 0.2







262 A 4 4 1. 28 0.143







263 A 5 4 1. 30 0.133







264 A 6 6 1. 30 0.2







265 A 4 4 1. 30 0.133







266 A 15 9 1. 30 0.3







267 A 11 9 1. 30 0.3







268 A 7 6 1. 28 0.214







269 A 6 4 1. 30 0.133







270 A 7 5 1. 30 0.167







271 A 11 8 1. 30 0.267







272 A 2 2 1. 30 0.067







273 A 2 2 1. 30 0.067







274 A 2 2 1. 28 0.071







275 A 2 2 1. 30 0.067







276 A 2 2 1. 30 0.067







277 A 2 2 1. 30 0.067







278 A 8 8 1. 30 0.267







279 A 7 7 1. 30 0.233







280 A 3 3 1. 28 0.107







281 A 0 0 0. 0 0.







282 A 0 0 0. 0 0.







283 A 5 5 1. 10 0.5







284 A 4 4 1. 10 0.4







285 A 3 3 1. 8 0.375







286 A 5 5 1. 6 0.833







287 A 5 5 1. 10 0.5







288 A 3 3 1. 10 0.3







289 A 5 5 1. 10 0.5







290 A 6 6 1. 10 0.6







291 A 5 5 1. 10 0.5







292 A 7 5 1. 10 0.5







293 A 6 5 1. 8 0.625







294 A 6 6 1. 6 1.







295 A 5 5 1. 10 0.5







296 A 3 3 1. 10 0.3







297 A 4 4 1. 10 0.4







298 A 5 4 1. 10 0.4







299 A 6 4 1. 10 0.4







300 A 6 6 1. 10 0.6







301 A 3 3 1. 8 0.375







302 A 5 5 1. 6 0.833







303 A 5 5 1. 10 0.5







304 A 3 3 1. 10 0.3







305 A 5 5 1. 10 0.5







306 A 5 4 1. 10 0.4







307 A 3 3 1. 10 0.3







308 A 3 3 1. 10 0.3







309 A 3 3 1. 8 0.375







310 A 3 3 1. 6 0.5







311 A 5 5 1. 10 0.5







312 A 3 3 1. 10 0.3







313 A 3 3 1. 10 0.3







314 A 3 2 1. 20 0.1







315 A 5 4 1. 20 0.2







316 A 2 2 1. 20 0.1







317 A 4 3 1. 18 0.167







318 A 1 1 1. 20 0.05







319 A 1 1 1. 20 0.05







320 A 2 2 1. 20 0.1







321 A 3 2 1. 20 0.1







322 A 5 4 1. 20 0.2







323 A 2 2 1. 20 0.1







324 A 4 3 1. 18 0.167







325 A 1 1 1. 20 0.05







326 A 1 1 1. 20 0.05







327 A 2 2 1. 20 0.1







328 A 2 2 1. 22 0.091







329 A 2 2 1. 22 0.091







330 A 1 1 1. 22 0.045







331 A 1 1 1. 22 0.045







332 A 1 1 1. 22 0.045







333 A 2 2 1. 22 0.091







334 A 2 2 1. 22 0.091







335 A 2 2 1. 22 0.091







336 A 2 2 1. 22 0.091







337 A 1 1 1. 22 0.045







338 A 1 1 1. 22 0.045







339 A 1 1 1. 22 0.045







340 A 2 2 1. 22 0.091







341 A 2 2 1. 22 0.091







342 A 0 0 0. 0 0.







343 A 8 8 1. 40 0.2







344 A 7 7 1.01 40 0.175







345 A 6 7 1. 38 0.184







346 A 0 0 0. 0 0.







347 A 0 0 0. 0 0.







348 A 6 6 1. 10 0.6







349 A 5 4 1. 12 0.333







350 A 5 4 1. 12 0.333







351 A 5 4 1. 10 0.4







352 A 5 4 1. 8 0.5







353 A 9 8 1. 12 0.667







354 A 9 8 1. 12 0.667







355 A 6 5 1. 12 0.417







356 A 7 6 1. 12 0.5







357 A 8 7 1. 12 0.583







358 A 37 8 1. 14 0.571







359 A 27 8 1. 14 0.571







360 A 17 8 1. 12 0.667







361 A 7 4 1. 10 0.4







362 A 0 0 0. 0 0.







363 A 0 0 0. 0 0.







364 A 7 7 1. 19 0.368







365 A 2 2 1. 15 0.133







366 A 4 4 1. 12 0.333







367 A 4 4 1. 14 0.286







368 A 6 6 1. 10 0.6







369 F 0 0 N/A 0 N/A







370 A 2 2 1. 26 0.077







371 A 2 2 1. 26 0.077