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
  2.1.8 Mupad
 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, 147, 148, 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, 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, 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, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 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, 9, 10, 12, 13, 14, 15, 23, 24, 28, 29, 30, 32, 33, 49, 50, 53, 57, 61, 64, 84, 88, 92, 93, 97, 119, 121, 136, 146, 155, 161, 167, 173, 185, 191, 197, 203, 209, 215, 221, 227, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 281, 282, 285, 289, 292, 293, 294, 296, 297, 298, 299, 300, 301, 302, 304, 306, 317, 324, 342, 346, 347, 350, 353, 354, 362, 363, 366, 367, 369 }

B grade: { 58, 59, 60, 63, 65, 66, 115, 116, 117, 118, 122, 124, 134, 262, 268, 272, 273, 274, 276, 280, 283, 305, 349, 351, 352, 355, 356, 357 }

C grade: { }

F grade: { 1, 2, 3, 8, 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, 51, 52, 54, 55, 56, 62, 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, 120, 123, 125, 126, 127, 128, 129, 130, 131, 132, 133, 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, 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, 260, 261, 263, 264, 265, 266, 267, 269, 270, 271, 275, 277, 278, 279, 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, 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, 316, 317, 322, 323, 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, 321, 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, 146, 147, 148, 149, 150, 155, 161, 167, 173, 179, 185, 191, 197, 209, 215, 221, 246, 247, 248, 249, 250, 254, 255, 256, 257, 258, 266, 267, 268, 272, 273, 274, 275, 276, 277, 281, 282, 283, 285, 294, 304, 362, 363, 366, 367 }

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, 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, 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, 251, 252, 253, 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, 368, 369, 370, 371 }

2.1.7 Giac

A grade: { 6, 7, 23, 24, 28, 29, 30, 32, 33, 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, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 280, 281, 282, 283, 285, 292, 293, 294, 296, 297, 298, 299, 300, 301, 304, 305, 306, 342, 346, 347, 349, 350, 351, 353, 362, 363, 369 }

B grade: { 9, 15, 61, 63, 64, 65, 66, 115, 116, 117, 118, 119, 121, 289, 302, 352, 354, 355, 356, 357, 366, 367 }

C grade: { }

F grade: { 1, 2, 3, 4, 5, 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, 53, 54, 55, 56, 62, 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, 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, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 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, 358, 359, 360, 361, 364, 365, 368, 370, 371 }

2.1.8 Mupad

A grade: { 23, 24, 28, 29, 30, 32, 33, 53, 57, 84, 88, 92, 93, 97, 136, 146, 155, 161, 167, 173, 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, 281, 282, 342, 346, 347, 362, 363 }

B grade: { 6, 7, 61, 119, 272, 273, 274, 275, 276, 277, 283, 285, 294, 301, 302, 304, 305, 317, 324, 353, 354, 366, 367, 368, 369, 371 }

C grade: { }

F grade: { 1, 2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15, 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, 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, 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, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 278, 279, 280, 284, 286, 287, 288, 289, 290, 291, 292, 293, 295, 296, 297, 298, 299, 300, 303, 306, 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, 355, 356, 357, 358, 359, 360, 361, 364, 365, 370 }

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 Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 168 263 0 0 0 0 -1
normalized size 1 1.00 0.99 1.55 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.264 0.010 0.129 0.000 0.592 0.000 0.000 0.000




















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 260 260 240 0 0 0 0 0 -1
normalized size 1 1.00 0.92 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.405 0.136 0.203 0.000 0.533 0.000 0.000 0.000




















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 348 348 322 0 0 0 0 0 -1
normalized size 1 1.00 0.93 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.433 0.043 0.183 0.000 0.540 0.000 0.000 0.000




















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 176 176 166 259 230 214 316 0 -1
normalized size 1 1.00 0.94 1.47 1.31 1.22 1.80 0.00 -0.01
time (sec) N/A 0.170 0.145 0.009 0.396 0.769 1.479 0.000 0.000




















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 121 189 150 147 190 0 -1
normalized size 1 1.00 0.98 1.52 1.21 1.19 1.53 0.00 -0.01
time (sec) N/A 0.096 0.090 0.006 0.404 0.574 0.661 0.000 0.000




















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 91 96 82 87 99 124 78
normalized size 1 1.00 0.94 0.99 0.85 0.90 1.02 1.28 0.80
time (sec) N/A 0.052 0.041 0.007 0.370 0.477 0.303 0.823 0.289




















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 31 30 43 26 41 28
normalized size 1 1.00 1.00 1.03 1.00 1.43 0.87 1.37 0.93
time (sec) N/A 0.013 0.009 0.006 0.402 0.560 0.133 0.232 0.002




















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 175 282 0 0 0 0 -1
normalized size 1 1.00 0.94 1.51 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.259 0.049 0.044 0.000 0.573 0.000 0.000 0.000




















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 82 82 79 178 94 253 0 214 -1
normalized size 1 1.00 0.96 2.17 1.15 3.09 0.00 2.61 -0.01
time (sec) N/A 0.055 0.101 0.017 0.457 0.663 0.000 0.861 0.000




















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 166 279 158 566 0 0 -1
normalized size 1 1.00 1.30 2.18 1.23 4.42 0.00 0.00 -0.01
time (sec) N/A 0.084 0.360 0.062 0.390 0.764 0.000 0.000 0.000




















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 183 183 205 516 0 977 0 0 -1
normalized size 1 1.00 1.12 2.82 0.00 5.34 0.00 0.00 -0.01
time (sec) N/A 0.138 0.432 0.013 0.000 1.673 0.000 0.000 0.000




















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 368 368 354 641 590 475 743 0 -1
normalized size 1 1.00 0.96 1.74 1.60 1.29 2.02 0.00 -0.00
time (sec) N/A 0.759 0.557 0.122 0.503 0.686 3.945 0.000 0.000




















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 239 239 248 410 378 319 454 0 -1
normalized size 1 1.00 1.04 1.72 1.58 1.33 1.90 0.00 -0.00
time (sec) N/A 0.512 0.382 0.094 0.430 0.615 1.721 0.000 0.000




















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 142 193 219 183 233 0 -1
normalized size 1 1.00 1.01 1.38 1.56 1.31 1.66 0.00 -0.01
time (sec) N/A 0.322 0.342 0.070 0.369 0.633 0.855 0.000 0.000




















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 74 72 72 96 82 111 -1
normalized size 1 1.00 1.61 1.57 1.57 2.09 1.78 2.41 -0.02
time (sec) N/A 0.063 0.062 0.000 0.334 0.454 0.278 0.785 0.000




















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 291 291 273 0 0 0 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.469 0.224 0.030 0.000 0.674 0.000 0.000 0.000




















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 191 529 0 0 0 0 -1
normalized size 1 1.00 0.73 2.01 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.472 0.218 0.344 0.000 0.836 0.000 0.000 0.000




















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 349 349 270 1013 0 0 0 0 -1
normalized size 1 1.00 0.77 2.90 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.609 0.708 0.667 0.000 0.663 0.000 0.000 0.000




















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 394 394 305 394 0 0 0 0 -1
normalized size 1 1.00 0.77 1.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.172 0.694 0.480 0.000 0.592 0.000 0.000 0.000




















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 188 254 0 0 0 0 -1
normalized size 1 1.00 0.77 1.04 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.702 0.413 0.323 0.000 0.752 0.000 0.000 0.000




















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 98 120 0 0 0 0 -1
normalized size 1 1.00 0.84 1.03 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.318 0.166 0.225 0.000 0.524 0.000 0.000 0.000




















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 45 56 0 0 0 0 -1
normalized size 1 1.00 0.83 1.04 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.074 0.022 0.000 0.000 0.584 0.000 0.000 0.000




















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.042 0.205 0.205 0.000 0.606 0.000 0.000 0.000




















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.039 0.390 0.408 0.000 0.559 0.000 0.000 0.000




















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 359 351 288 616 0 0 0 0 -1
normalized size 1 0.98 0.80 1.72 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.688 1.610 0.377 0.000 0.484 0.000 0.000 0.000




















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 176 150 272 0 0 0 0 -1
normalized size 1 0.98 0.83 1.51 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.337 0.749 0.270 0.000 0.572 0.000 0.000 0.000




















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 81 71 118 0 0 0 0 -1
normalized size 1 0.95 0.84 1.39 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.179 0.188 0.000 0.000 0.450 0.000 0.000 0.000




















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.031 3.218 0.228 0.000 0.531 0.000 0.000 0.000




















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.029 5.209 0.414 0.000 0.646 0.000 0.000 0.000




















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 75 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.261 4.173 3.603 0.000 0.560 0.000 0.000 0.000




















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A F F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD TBD
size 179 179 0 0 0 0 0 0 -1
normalized size 1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.101 0.046 3.604 0.000 0.565 0.000 0.000 0.000




















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.029 0.367 1.197 0.000 0.469 0.000 0.000 0.000




















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.031 0.781 1.260 0.000 0.568 0.000 0.000 0.000




















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F(-2) F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 640 640 413 1119 0 0 0 0 -1
normalized size 1 1.00 0.65 1.75 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.687 1.493 0.803 0.000 0.565 0.000 0.000 0.000




















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F(-2) F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 431 431 301 791 0 0 0 0 -1
normalized size 1 1.00 0.70 1.84 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.532 0.958 0.618 0.000 0.546 0.000 0.000 0.000




















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F(-2) F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 208 423 0 0 0 0 -1
normalized size 1 1.00 0.92 1.86 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.250 1.212 0.423 0.000 0.629 0.000 0.000 0.000




















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 664 664 1353 992 0 0 0 0 -1
normalized size 1 1.00 2.04 1.49 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.650 6.368 0.350 0.000 0.466 0.000 0.000 0.000




















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 781 781 1384 1814 0 0 0 0 -1
normalized size 1 1.00 1.77 2.32 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.547 9.653 0.714 0.000 0.529 0.000 0.000 0.000




















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F(-2) F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 918 918 779 1510 0 0 0 0 -1
normalized size 1 1.00 0.85 1.64 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.932 3.709 0.964 0.000 0.524 0.000 0.000 0.000




















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F(-2) F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 651 651 546 1087 0 0 0 0 -1
normalized size 1 1.00 0.84 1.67 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.731 2.218 0.845 0.000 0.579 0.000 0.000 0.000




















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F(-2) F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 353 353 392 601 0 0 0 0 -1
normalized size 1 1.00 1.11 1.70 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.335 1.232 0.499 0.000 0.533 0.000 0.000 0.000




















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F(-2) F F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 984 984 2889 1838 0 0 0 0 -1
normalized size 1 1.00 2.94 1.87 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.889 13.619 0.368 0.000 0.542 0.000 0.000 0.000




















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F(-2) F F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 1228 1228 1899 1954 0 0 0 0 -1
normalized size 1 1.00 1.55 1.59 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.139 7.079 1.010 0.000 0.594 0.000 0.000 0.000




















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F(-2) F F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 901 901 1047 1424 0 0 0 0 -1
normalized size 1 1.00 1.16 1.58 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.926 2.783 0.887 0.000 0.587 0.000 0.000 0.000




















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F(-2) F F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 494 494 656 805 0 0 0 0 -1
normalized size 1 1.00 1.33 1.63 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.397 1.344 0.571 0.000 0.563 0.000 0.000 0.000




















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F(-2) F F F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 1536 1536 7163 3928 0 0 0 0 -1
normalized size 1 1.00 4.66 2.56 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.448 25.937 0.470 0.000 0.693 0.000 0.000 0.000




















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F(-2) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 430 430 304 751 0 0 0 0 -1
normalized size 1 1.00 0.71 1.75 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.575 0.951 0.810 0.000 0.594 0.000 0.000 0.000




















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F(-2) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 258 258 233 486 0 0 0 0 -1
normalized size 1 1.00 0.90 1.88 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.430 0.608 0.614 0.000 0.620 0.000 0.000 0.000




















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 158 209 87 0 0 0 -1
normalized size 1 1.00 1.32 1.74 0.72 0.00 0.00 0.00 -0.01
time (sec) N/A 0.217 0.264 0.406 0.419 0.547 0.000 0.000 0.000




















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 48 77 28 0 0 0 -1
normalized size 1 1.00 1.02 1.64 0.60 0.00 0.00 0.00 -0.02
time (sec) N/A 0.057 0.036 0.006 0.452 0.705 0.000 0.000 0.000




















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 325 325 256 678 0 0 0 0 -1
normalized size 1 1.00 0.79 2.09 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.548 0.625 0.272 0.000 0.444 0.000 0.000 0.000




















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 444 444 448 1770 0 0 0 0 -1
normalized size 1 1.00 1.01 3.99 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.661 2.172 0.686 0.000 0.550 0.000 0.000 0.000




















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 37 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.186 0.138 2.384 0.000 0.527 0.000 0.000 0.000




















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 438 438 397 0 0 0 0 0 -1
normalized size 1 1.00 0.91 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.727 0.234 2.638 0.000 0.572 0.000 0.000 0.000




















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 332 332 304 0 0 0 0 0 -1
normalized size 1 1.00 0.92 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.559 0.229 2.128 0.000 0.549 0.000 0.000 0.000




















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 206 0 0 0 0 0 -1
normalized size 1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.300 0.018 0.176 0.000 0.574 0.000 0.000 0.000




















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 37 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.195 0.273 1.279 0.000 0.528 0.000 0.000 0.000




















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 95 200 318 110 255 162 -1
normalized size 1 1.00 0.73 1.53 2.43 0.84 1.95 1.24 -0.01
time (sec) N/A 0.172 0.088 0.016 0.336 0.463 1.438 1.004 0.000




















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 74 130 210 91 170 131 -1
normalized size 1 1.00 0.82 1.44 2.33 1.01 1.89 1.46 -0.01
time (sec) N/A 0.113 0.059 0.004 0.365 0.552 0.666 0.329 0.000




















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 60 74 149 75 104 111 -1
normalized size 1 1.00 0.79 0.97 1.96 0.99 1.37 1.46 -0.01
time (sec) N/A 0.066 0.042 0.004 0.369 0.531 0.302 0.364 0.000




















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 40 31 30 57 46 92 76
normalized size 1 1.00 1.18 0.91 0.88 1.68 1.35 2.71 2.24
time (sec) N/A 0.014 0.028 0.002 0.388 0.536 0.164 0.359 0.446




















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 153 388 0 0 0 0 -1
normalized size 1 1.00 1.17 2.96 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.243 0.012 0.171 0.000 0.537 0.000 0.000 0.000




















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 57 71 111 167 0 110 -1
normalized size 1 1.00 1.00 1.25 1.95 2.93 0.00 1.93 -0.02
time (sec) N/A 0.070 0.041 0.006 0.325 0.578 0.000 0.449 0.000




















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 110 106 146 236 0 199 -1
normalized size 1 1.00 1.20 1.15 1.59 2.57 0.00 2.16 -0.01
time (sec) N/A 0.102 0.178 0.008 0.409 0.663 0.000 0.608 0.000




















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 149 203 284 285 0 381 -1
normalized size 1 1.00 1.16 1.57 2.20 2.21 0.00 2.95 -0.01
time (sec) N/A 0.154 0.235 0.008 0.359 0.717 0.000 0.470 0.000




















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 167 167 179 275 357 343 0 709 -1
normalized size 1 1.00 1.07 1.65 2.14 2.05 0.00 4.25 -0.01
time (sec) N/A 0.228 0.214 0.009 0.364 0.707 0.000 0.570 0.000




















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 331 331 145 377 0 182 366 0 -1
normalized size 1 1.00 0.44 1.14 0.00 0.55 1.11 0.00 -0.00
time (sec) N/A 0.547 0.191 0.109 0.000 0.535 3.107 0.000 0.000




















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 211 211 107 212 0 146 243 0 -1
normalized size 1 1.00 0.51 1.00 0.00 0.69 1.15 0.00 -0.00
time (sec) N/A 0.375 0.143 0.086 0.000 0.527 1.385 0.000 0.000




















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 79 113 0 114 138 0 -1
normalized size 1 1.00 0.63 0.90 0.00 0.90 1.10 0.00 -0.01
time (sec) N/A 0.236 0.083 0.077 0.000 0.572 0.676 0.000 0.000




















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 47 46 0 88 63 0 -1
normalized size 1 1.00 1.04 1.02 0.00 1.96 1.40 0.00 -0.02
time (sec) N/A 0.051 0.023 0.053 0.000 0.553 0.262 0.000 0.000




















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 251 0 0 0 0 0 -1
normalized size 1 1.00 1.22 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.350 0.032 0.217 0.000 0.498 0.000 0.000 0.000




















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 178 217 0 0 0 0 -1
normalized size 1 1.00 1.00 1.22 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.383 0.120 0.394 0.000 0.515 0.000 0.000 0.000




















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 279 384 0 0 0 0 -1
normalized size 1 1.00 1.19 1.63 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.486 0.130 0.662 0.000 0.582 0.000 0.000 0.000




















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 478 478 1830 730 0 0 0 0 -1
normalized size 1 1.00 3.83 1.53 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.573 10.523 0.887 0.000 0.672 0.000 0.000 0.000




















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 355 355 175 311 0 225 432 0 -1
normalized size 1 1.00 0.49 0.88 0.00 0.63 1.22 0.00 -0.00
time (sec) N/A 0.450 0.207 0.099 0.000 0.487 3.036 0.000 0.000




















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 129 169 0 180 248 0 -1
normalized size 1 1.00 0.64 0.83 0.00 0.89 1.22 0.00 -0.00
time (sec) N/A 0.303 0.137 0.076 0.000 0.499 1.295 0.000 0.000




















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 70 67 0 139 109 0 -1
normalized size 1 1.00 0.90 0.86 0.00 1.78 1.40 0.00 -0.01
time (sec) N/A 0.074 0.031 0.052 0.000 0.501 0.598 0.000 0.000




















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 346 0 0 0 0 0 -1
normalized size 1 1.00 1.26 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.398 0.033 0.191 0.000 0.610 0.000 0.000 0.000




















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 268 268 259 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.580 0.117 0.446 0.000 0.746 0.000 0.000 0.000




















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 514 514 524 0 0 0 0 0 -1
normalized size 1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.883 0.239 0.765 0.000 0.647 0.000 0.000 0.000




















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 44 49 0 0 0 0 -1
normalized size 1 1.00 0.73 0.82 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.527 0.147 0.122 0.000 0.478 0.000 0.000 0.000




















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 27 0 0 0 0 -1
normalized size 1 1.00 1.00 0.90 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.211 0.053 0.058 0.000 0.652 0.000 0.000 0.000




















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 12 0 0 0 0 -1
normalized size 1 1.00 1.00 1.09 0.00 0.00 0.00 0.00 -0.09
time (sec) N/A 0.023 0.007 0.049 0.000 0.580 0.000 0.000 0.000




















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 15 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07
time (sec) N/A 0.044 0.203 0.171 0.000 0.535 0.000 0.000 0.000




















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 154 83 146 0 0 0 0 -1
normalized size 1 1.00 0.54 0.95 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.216 0.463 0.131 0.000 0.467 0.000 0.000 0.000




















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 62 73 0 0 0 0 -1
normalized size 1 1.00 0.74 0.87 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.132 0.167 0.081 0.000 0.581 0.000 0.000 0.000




















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 35 34 0 0 0 0 -1
normalized size 1 1.00 0.92 0.89 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.073 0.023 0.053 0.000 0.586 0.000 0.000 0.000




















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 15 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07
time (sec) N/A 0.039 2.140 0.181 0.000 0.557 0.000 0.000 0.000




















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 257 257 110 215 0 0 0 0 -1
normalized size 1 1.00 0.43 0.84 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.497 0.403 0.158 0.000 0.509 0.000 0.000 0.000




















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 147 147 117 107 0 0 0 0 -1
normalized size 1 1.00 0.80 0.73 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.250 0.109 0.083 0.000 0.616 0.000 0.000 0.000




















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 53 51 0 0 0 0 -1
normalized size 1 1.00 0.84 0.81 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.079 0.042 0.028 0.000 0.544 0.000 0.000 0.000




















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 15 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.07
time (sec) N/A 0.040 2.142 0.181 0.000 0.523 0.000 0.000 0.000




















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.053 0.445 0.188 0.000 0.568 0.000 0.000 0.000




















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 545 545 345 0 0 0 0 0 -1
normalized size 1 1.00 0.63 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.152 1.028 180.000 0.000 0.526 0.000 0.000 0.000




















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 267 267 228 0 0 0 0 0 -1
normalized size 1 1.00 0.85 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.483 0.189 0.317 0.000 0.570 0.000 0.000 0.000




















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 109 0 0 0 0 0 -1
normalized size 1 1.00 0.85 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.124 0.119 0.104 0.000 0.740 0.000 0.000 0.000




















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.060 0.172 0.185 0.000 0.533 0.000 0.000 0.000




















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 496 496 656 0 0 0 0 0 -1
normalized size 1 1.00 1.32 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.847 1.775 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 259 259 251 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.700 1.822 0.520 0.000 0.000 0.000 0.000 0.000




















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 115 115 111 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.249 0.079 0.070 0.000 0.000 0.000 0.000 0.000




















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 326 326 582 0 0 0 0 0 -1
normalized size 1 1.00 1.79 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.965 5.193 0.504 0.000 0.000 0.000 0.000 0.000




















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 150 150 272 0 0 0 0 0 -1
normalized size 1 1.00 1.81 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.249 0.148 0.120 0.000 0.000 0.000 0.000 0.000




















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 389 389 939 0 0 0 0 0 -1
normalized size 1 1.00 2.41 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.126 10.191 0.507 0.000 0.000 0.000 0.000 0.000




















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 179 179 458 0 0 0 0 0 -1
normalized size 1 1.00 2.56 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.388 2.446 0.128 0.000 0.000 0.000 0.000 0.000




















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 411 411 471 0 0 0 0 0 -1
normalized size 1 1.00 1.15 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.857 1.099 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 204 204 217 0 0 0 0 0 -1
normalized size 1 1.00 1.06 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.392 1.020 0.486 0.000 0.000 0.000 0.000 0.000




















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 92 92 111 0 0 0 0 0 -1
normalized size 1 1.00 1.21 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.129 0.113 0.067 0.000 0.000 0.000 0.000 0.000




















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 269 269 301 0 0 0 0 0 -1
normalized size 1 1.00 1.12 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.542 2.694 0.472 0.000 0.000 0.000 0.000 0.000




















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 122 122 155 0 0 0 0 0 -1
normalized size 1 1.00 1.27 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.239 0.097 0.124 0.000 0.000 0.000 0.000 0.000




















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 365 365 375 0 0 0 0 0 -1
normalized size 1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.883 2.731 0.483 0.000 0.000 0.000 0.000 0.000




















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 158 158 207 0 0 0 0 0 -1
normalized size 1 1.00 1.31 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.276 0.557 0.125 0.000 0.000 0.000 0.000 0.000




















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 445 445 429 0 0 0 0 0 -1
normalized size 1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.047 2.592 0.476 0.000 0.000 0.000 0.000 0.000




















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 195 195 238 0 0 0 0 0 -1
normalized size 1 1.00 1.22 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.411 0.544 0.126 0.000 0.000 0.000 0.000 0.000




















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 79 0 0 0 0 0 -1
normalized size 1 1.00 0.87 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.073 0.048 2.146 0.000 0.697 0.000 0.000 0.000




















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 71 93 1231 279 527 817 -1
normalized size 1 1.00 0.71 0.93 12.31 2.79 5.27 8.17 -0.01
time (sec) N/A 0.079 0.103 0.014 0.483 0.558 3.504 1.931 0.000




















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 83 86 790 228 394 594 -1
normalized size 1 1.00 0.79 0.82 7.52 2.17 3.75 5.66 -0.01
time (sec) N/A 0.070 0.076 0.006 0.388 0.491 1.692 1.633 0.000




















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 64 73 445 168 258 403 -1
normalized size 1 1.00 0.84 0.96 5.86 2.21 3.39 5.30 -0.01
time (sec) N/A 0.066 0.046 0.006 0.357 0.619 0.769 1.309 0.000




















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A A B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 57 62 201 108 148 243 -1
normalized size 1 1.00 0.84 0.91 2.96 1.59 2.18 3.57 -0.01
time (sec) N/A 0.039 0.064 0.006 0.444 0.548 0.335 0.956 0.000




















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 50 36 35 65 51 99 85
normalized size 1 1.00 1.28 0.92 0.90 1.67 1.31 2.54 2.18
time (sec) N/A 0.023 0.031 0.003 0.340 0.505 0.158 0.356 0.484




















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 81 81 70 159 0 0 0 0 -1
normalized size 1 1.00 0.86 1.96 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.112 0.026 0.100 0.000 0.659 0.000 0.000 0.000




















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 43 54 80 175 0 131 -1
normalized size 1 1.00 0.88 1.10 1.63 3.57 0.00 2.67 -0.02
time (sec) N/A 0.054 0.039 0.005 0.367 0.576 0.000 0.491 0.000




















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 57 60 117 118 0 0 -1
normalized size 1 1.00 0.97 1.02 1.98 2.00 0.00 0.00 -0.02
time (sec) N/A 0.051 0.058 0.006 0.406 0.549 0.000 0.000 0.000




















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 82 74 0 343 0 0 -1
normalized size 1 1.00 0.98 0.88 0.00 4.08 0.00 0.00 -0.01
time (sec) N/A 0.071 0.086 0.006 0.000 0.557 0.000 0.000 0.000




















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 61 80 258 210 0 0 -1
normalized size 1 1.00 0.68 0.89 2.87 2.33 0.00 0.00 -0.01
time (sec) N/A 0.067 0.075 0.006 0.356 0.571 0.000 0.000 0.000




















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 61 94 0 509 0 0 -1
normalized size 1 1.00 0.53 0.82 0.00 4.43 0.00 0.00 -0.01
time (sec) N/A 0.086 0.082 0.008 0.000 0.718 0.000 0.000 0.000




















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 187 187 155 0 0 0 0 0 -1
normalized size 1 1.00 0.83 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.207 0.120 1.951 0.000 0.665 0.000 0.000 0.000




















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 192 218 0 618 1268 0 -1
normalized size 1 1.00 0.97 1.11 0.00 3.14 6.44 0.00 -0.01
time (sec) N/A 0.307 0.260 0.052 0.000 0.756 7.462 0.000 0.000




















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 170 194 0 486 916 0 -1
normalized size 1 1.00 0.99 1.13 0.00 2.83 5.33 0.00 -0.01
time (sec) N/A 0.258 0.203 0.038 0.000 0.556 4.593 0.000 0.000




















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 147 163 0 358 610 0 -1
normalized size 1 1.00 1.08 1.20 0.00 2.63 4.49 0.00 -0.01
time (sec) N/A 0.205 0.176 0.041 0.000 0.575 1.864 0.000 0.000




















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 120 135 0 230 335 0 -1
normalized size 1 1.00 1.17 1.31 0.00 2.23 3.25 0.00 -0.01
time (sec) N/A 0.145 0.185 0.033 0.000 0.554 0.857 0.000 0.000




















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 87 90 0 141 143 0 -1
normalized size 1 1.00 1.53 1.58 0.00 2.47 2.51 0.00 -0.02
time (sec) N/A 0.070 0.101 0.052 0.000 0.562 0.325 0.000 0.000




















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 116 115 100 404 0 0 0 0 -1
normalized size 1 0.99 0.86 3.48 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.198 0.049 0.082 0.000 0.719 0.000 0.000 0.000




















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 100 100 154 229 0 0 0 0 -1
normalized size 1 1.00 1.54 2.29 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.176 0.605 0.138 0.000 0.552 0.000 0.000 0.000




















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 120 180 230 319 0 0 -1
normalized size 1 1.00 1.41 2.12 2.71 3.75 0.00 0.00 -0.01
time (sec) N/A 0.137 0.251 0.205 0.416 0.658 0.000 0.000 0.000




















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 169 169 212 310 0 0 0 0 -1
normalized size 1 1.00 1.25 1.83 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.247 1.720 0.278 0.000 0.578 0.000 0.000 0.000




















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 87 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.173 3.749 1.957 0.000 0.534 0.000 0.000 0.000




















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 326 326 355 420 0 1077 2518 0 -1
normalized size 1 1.00 1.09 1.29 0.00 3.30 7.72 0.00 -0.00
time (sec) N/A 0.474 0.476 0.052 0.000 0.608 17.075 0.000 0.000




















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 279 279 303 365 0 832 1828 0 -1
normalized size 1 1.00 1.09 1.31 0.00 2.98 6.55 0.00 -0.00
time (sec) N/A 0.386 0.402 0.065 0.000 0.625 10.072 0.000 0.000




















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 258 302 0 613 1173 0 -1
normalized size 1 1.00 1.14 1.33 0.00 2.70 5.17 0.00 -0.00
time (sec) N/A 0.300 0.328 0.041 0.000 0.629 4.994 0.000 0.000




















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 200 243 0 391 685 0 -1
normalized size 1 1.00 1.24 1.51 0.00 2.43 4.25 0.00 -0.01
time (sec) N/A 0.213 0.211 0.056 0.000 0.538 2.082 0.000 0.000




















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 147 160 0 239 282 0 -1
normalized size 1 1.00 1.47 1.60 0.00 2.39 2.82 0.00 -0.01
time (sec) N/A 0.108 0.167 0.071 0.000 0.663 0.804 0.000 0.000




















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 155 155 128 736 0 0 0 0 -1
normalized size 1 1.00 0.83 4.75 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.224 0.049 0.089 0.000 0.524 0.000 0.000 0.000




















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 166 166 315 481 0 0 0 0 -1
normalized size 1 1.00 1.90 2.90 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.255 0.723 0.149 0.000 0.618 0.000 0.000 0.000




















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 157 157 229 409 0 0 0 0 -1
normalized size 1 1.00 1.46 2.61 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.261 0.812 0.217 0.000 0.592 0.000 0.000 0.000




















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 261 261 694 651 0 0 0 0 -1
normalized size 1 1.00 2.66 2.49 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.410 7.141 0.311 0.000 0.725 0.000 0.000 0.000




















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 87 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.179 1.920 2.039 0.000 0.548 0.000 0.000 0.000




















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 349 349 475 573 0 1241 2876 0 -1
normalized size 1 1.00 1.36 1.64 0.00 3.56 8.24 0.00 -0.00
time (sec) N/A 0.673 0.638 0.048 0.000 0.588 20.597 0.000 0.000




















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 281 412 473 0 900 1889 0 -1
normalized size 1 1.00 1.47 1.68 0.00 3.20 6.72 0.00 -0.00
time (sec) N/A 0.485 0.452 0.046 0.000 0.751 9.646 0.000 0.000




















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 300 371 0 574 1027 0 -1
normalized size 1 1.00 1.54 1.90 0.00 2.94 5.27 0.00 -0.01
time (sec) N/A 0.321 0.323 0.038 0.000 0.598 4.852 0.000 0.000




















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 226 245 0 344 444 0 -1
normalized size 1 1.00 1.97 2.13 0.00 2.99 3.86 0.00 -0.01
time (sec) N/A 0.160 0.264 0.060 0.000 0.540 1.695 0.000 0.000




















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 186 186 157 1153 0 0 0 0 -1
normalized size 1 1.00 0.84 6.20 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.259 0.065 0.116 0.000 0.615 0.000 0.000 0.000




















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 234 234 501 820 0 0 0 0 -1
normalized size 1 1.00 2.14 3.50 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.317 1.596 0.199 0.000 0.649 0.000 0.000 0.000




















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 186 186 360 723 0 0 0 0 -1
normalized size 1 1.00 1.94 3.89 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.328 1.270 0.223 0.000 0.649 0.000 0.000 0.000




















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 385 385 1182 1202 0 0 0 0 -1
normalized size 1 1.00 3.07 3.12 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.565 8.593 0.312 0.000 0.916 0.000 0.000 0.000




















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.060 1.150 0.787 0.000 0.639 0.000 0.000 0.000




















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 213 209 151 194 0 0 0 0 -1
normalized size 1 0.98 0.71 0.91 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.469 0.307 0.318 0.000 0.482 0.000 0.000 0.000




















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 109 134 0 0 0 0 -1
normalized size 1 1.00 0.75 0.92 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.340 0.216 0.248 0.000 0.487 0.000 0.000 0.000




















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 137 102 130 0 0 0 0 -1
normalized size 1 0.97 0.72 0.92 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.293 0.184 0.155 0.000 0.494 0.000 0.000 0.000




















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 61 66 0 0 0 0 -1
normalized size 1 1.00 0.88 0.96 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.161 0.090 0.039 0.000 0.549 0.000 0.000 0.000




















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 49 60 0 0 0 0 -1
normalized size 1 1.00 0.84 1.03 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.089 0.022 0.031 0.000 0.475 0.000 0.000 0.000




















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.066 0.840 0.169 0.000 0.517 0.000 0.000 0.000




















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 256 252 281 602 0 0 0 0 -1
normalized size 1 0.98 1.10 2.35 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.409 1.096 0.377 0.000 0.582 0.000 0.000 0.000




















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 193 388 0 0 0 0 -1
normalized size 1 1.00 1.03 2.06 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.311 0.880 0.302 0.000 0.656 0.000 0.000 0.000




















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 180 138 342 0 0 0 0 -1
normalized size 1 0.98 0.75 1.86 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.285 0.738 0.235 0.000 0.584 0.000 0.000 0.000




















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 97 160 0 0 0 0 -1
normalized size 1 1.00 0.94 1.55 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.148 0.299 0.056 0.000 0.621 0.000 0.000 0.000




















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 87 77 128 0 0 0 0 -1
normalized size 1 0.96 0.85 1.41 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.174 0.089 0.050 0.000 0.452 0.000 0.000 0.000




















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.064 1.443 0.167 0.000 0.589 0.000 0.000 0.000




















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 320 316 316 896 0 0 0 0 -1
normalized size 1 0.99 0.99 2.80 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.892 1.250 0.388 0.000 0.611 0.000 0.000 0.000




















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 179 579 0 0 0 0 -1
normalized size 1 1.00 0.72 2.34 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.682 0.658 0.310 0.000 0.520 0.000 0.000 0.000




















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 246 305 216 507 0 0 0 0 -1
normalized size 1 1.24 0.88 2.06 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.612 0.725 0.241 0.000 0.637 0.000 0.000 0.000




















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 120 239 0 0 0 0 -1
normalized size 1 1.00 0.77 1.53 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.331 0.315 0.066 0.000 0.769 0.000 0.000 0.000




















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 100 190 0 0 0 0 -1
normalized size 1 1.00 0.80 1.52 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.177 0.281 0.059 0.000 0.755 0.000 0.000 0.000




















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.062 1.058 0.192 0.000 0.616 0.000 0.000 0.000




















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F(-1) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 410 406 410 1244 0 0 0 0 -1
normalized size 1 0.99 1.00 3.03 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.878 1.904 0.431 0.000 0.991 0.000 0.000 0.000




















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F(-1) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 340 340 318 800 0 0 0 0 -1
normalized size 1 1.00 0.94 2.35 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.696 1.112 0.352 0.000 0.953 0.000 0.000 0.000




















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F(-1) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 331 327 258 709 0 0 0 0 -1
normalized size 1 0.99 0.78 2.14 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.675 0.843 0.281 0.000 0.726 0.000 0.000 0.000




















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F(-1) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 181 333 0 0 0 0 -1
normalized size 1 1.00 0.89 1.63 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.341 0.808 0.076 0.000 1.288 0.000 0.000 0.000




















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F(-1) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 156 130 272 0 0 0 0 -1
normalized size 1 0.98 0.81 1.70 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.267 0.439 0.068 0.000 0.633 0.000 0.000 0.000




















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.063 3.630 0.208 0.000 1.075 0.000 0.000 0.000




















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 361 361 342 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.875 0.653 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 272 272 223 0 0 0 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.665 0.290 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 245 245 238 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.650 0.408 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 164 164 140 0 0 0 0 0 -1
normalized size 1 1.00 0.85 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.429 0.101 0.111 0.000 0.000 0.000 0.000 0.000




















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 115 115 111 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.246 0.122 0.000 0.000 0.000 0.000 0.000 0.000




















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.088 2.164 0.218 0.000 0.000 0.000 0.000 0.000




















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 601 601 343 0 0 0 0 0 -1
normalized size 1 1.00 0.57 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.662 0.477 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 360 360 225 0 0 0 0 0 -1
normalized size 1 1.00 0.62 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.059 0.288 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 328 328 238 0 0 0 0 0 -1
normalized size 1 1.00 0.73 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.882 0.299 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 205 205 142 0 0 0 0 0 -1
normalized size 1 1.00 0.69 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.483 0.108 0.115 0.000 0.000 0.000 0.000 0.000




















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 150 150 272 0 0 0 0 0 -1
normalized size 1 1.00 1.81 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.254 0.227 0.009 0.000 0.000 0.000 0.000 0.000




















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.103 1.495 0.247 0.000 0.000 0.000 0.000 0.000




















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 701 701 342 0 0 0 0 0 -1
normalized size 1 1.00 0.49 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.203 0.700 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 455 455 223 0 0 0 0 0 -1
normalized size 1 1.00 0.49 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.520 0.321 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 394 394 238 0 0 0 0 0 -1
normalized size 1 1.00 0.60 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.244 0.425 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 262 262 126 0 0 0 0 0 -1
normalized size 1 1.00 0.48 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.731 0.077 0.109 0.000 0.000 0.000 0.000 0.000




















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 179 179 458 0 0 0 0 0 -1
normalized size 1 1.00 2.56 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.402 1.498 0.003 0.000 0.000 0.000 0.000 0.000




















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.105 1.131 0.243 0.000 0.000 0.000 0.000 0.000




















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 835 835 343 0 0 0 0 0 -1
normalized size 1 1.00 0.41 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 3.289 0.517 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 547 547 225 0 0 0 0 0 -1
normalized size 1 1.00 0.41 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 2.143 0.325 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 481 481 238 0 0 0 0 0 -1
normalized size 1 1.00 0.49 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.680 0.336 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 305 305 125 0 0 0 0 0 -1
normalized size 1 1.00 0.41 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.796 0.075 0.108 0.000 0.000 0.000 0.000 0.000




















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F(-2) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 216 216 698 0 0 0 0 0 -1
normalized size 1 1.00 3.23 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.419 4.682 0.075 0.000 0.000 0.000 0.000 0.000




















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A F(-2) F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.102 1.138 0.253 0.000 0.000 0.000 0.000 0.000




















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 326 326 320 0 0 0 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.637 0.370 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 217 217 205 0 0 0 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.455 0.229 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 214 214 217 0 0 0 0 0 -1
normalized size 1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.455 0.240 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 113 113 119 0 0 0 0 0 -1
normalized size 1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.243 0.067 0.118 0.000 0.000 0.000 0.000 0.000




















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 92 92 111 0 0 0 0 0 -1
normalized size 1 1.00 1.21 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.126 0.066 0.000 0.000 0.000 0.000 0.000 0.000




















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.098 0.070 0.204 0.000 0.000 0.000 0.000 0.000




















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 367 367 490 0 0 0 0 0 -1
normalized size 1 1.00 1.34 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.651 0.668 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 262 262 253 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.453 0.452 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 255 255 327 0 0 0 0 0 -1
normalized size 1 1.00 1.28 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.465 0.372 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 148 148 147 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.231 0.117 0.095 0.000 0.000 0.000 0.000 0.000




















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 122 122 155 0 0 0 0 0 -1
normalized size 1 1.00 1.27 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.255 0.113 0.000 0.000 0.000 0.000 0.000 0.000




















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.108 0.076 0.219 0.000 0.000 0.000 0.000 0.000




















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 437 437 551 0 0 0 0 0 -1
normalized size 1 1.00 1.26 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.555 3.454 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 326 326 390 0 0 0 0 0 -1
normalized size 1 1.00 1.20 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.096 1.777 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 321 321 389 0 0 0 0 0 -1
normalized size 1 1.00 1.21 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.960 1.548 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 209 209 227 0 0 0 0 0 -1
normalized size 1 1.00 1.09 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.542 0.696 0.099 0.000 0.000 0.000 0.000 0.000




















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 158 158 207 0 0 0 0 0 -1
normalized size 1 1.00 1.31 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.285 0.294 0.000 0.000 0.000 0.000 0.000 0.000




















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.109 0.080 0.225 0.000 0.000 0.000 0.000 0.000




















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 531 531 701 0 0 0 0 0 -1
normalized size 1 1.00 1.32 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.467 2.717 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 420 420 429 0 0 0 0 0 -1
normalized size 1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.098 2.106 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 410 410 474 0 0 0 0 0 -1
normalized size 1 1.00 1.16 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 1.110 1.494 180.000 0.000 0.000 0.000 0.000 0.000




















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 252 252 235 0 0 0 0 0 -1
normalized size 1 1.00 0.93 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.562 0.881 0.095 0.000 0.000 0.000 0.000 0.000




















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 195 195 238 0 0 0 0 0 -1
normalized size 1 1.00 1.22 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.465 0.186 0.000 0.000 0.000 0.000 0.000 0.000




















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A F(-2) F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.117 0.082 0.221 0.000 0.000 0.000 0.000 0.000




















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 298 298 113 238 0 0 0 0 -1
normalized size 1 1.00 0.38 0.80 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.332 0.213 0.026 0.000 0.612 0.000 0.000 0.000




















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 177 177 113 212 0 0 0 0 -1
normalized size 1 1.00 0.64 1.20 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.159 0.186 0.012 0.000 0.540 0.000 0.000 0.000




















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 261 261 87 205 0 0 0 0 -1
normalized size 1 1.00 0.33 0.79 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.243 0.047 0.010 0.000 0.535 0.000 0.000 0.000




















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 87 179 0 0 0 0 -1
normalized size 1 1.00 0.61 1.26 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.126 0.032 0.011 0.000 0.671 0.000 0.000 0.000




















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 61 161 0 0 0 0 -1
normalized size 1 1.00 0.27 0.72 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.212 0.032 0.014 0.000 0.576 0.000 0.000 0.000




















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 56 140 0 0 0 0 -1
normalized size 1 1.00 0.53 1.32 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.113 0.026 0.013 0.000 0.552 0.000 0.000 0.000




















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 58 202 0 0 0 0 -1
normalized size 1 1.00 0.22 0.76 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.238 0.031 0.013 0.000 0.636 0.000 0.000 0.000




















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 145 145 61 176 0 0 0 0 -1
normalized size 1 1.00 0.42 1.21 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.136 0.036 0.016 0.000 0.591 0.000 0.000 0.000




















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 110 0 0 0 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.212 0.133 180.000 0.000 0.580 0.000 0.000 0.000




















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 110 0 0 0 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.221 0.119 180.000 0.000 0.588 0.000 0.000 0.000




















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 110 0 0 0 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.217 0.102 180.000 0.000 0.547 0.000 0.000 0.000




















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 110 0 0 0 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.209 0.084 180.000 0.000 0.569 0.000 0.000 0.000




















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 110 0 0 0 0 0 -1
normalized size 1 1.00 0.83 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.203 0.063 180.000 0.000 1.124 0.000 0.000 0.000




















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 109 0 0 0 0 0 -1
normalized size 1 1.00 0.84 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.222 0.099 180.000 0.000 0.727 0.000 0.000 0.000




















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 106 0 0 0 0 0 -1
normalized size 1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.226 0.077 180.000 0.000 0.769 0.000 0.000 0.000




















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F(-2) F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 110 0 0 0 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.230 0.087 180.000 0.000 0.725 0.000 0.000 0.000




















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.208 89.803 180.000 0.000 2.031 0.000 0.000 0.000




















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.203 108.231 180.000 0.000 0.721 0.000 0.000 0.000




















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.209 73.209 180.000 0.000 1.063 0.000 0.000 0.000




















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 80 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.202 93.831 180.000 0.000 0.887 0.000 0.000 0.000




















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.183 9.439 180.000 0.000 0.689 0.000 0.000 0.000




















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.193 19.934 180.000 0.000 0.715 0.000 0.000 0.000




















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 80 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.209 23.070 180.000 0.000 0.756 0.000 0.000 0.000




















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.217 73.711 180.000 0.000 0.520 0.000 0.000 0.000




















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.206 98.228 180.000 0.000 0.903 0.000 0.000 0.000




















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.207 128.470 180.000 0.000 1.009 0.000 0.000 0.000




















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.206 83.669 180.000 0.000 0.577 0.000 0.000 0.000




















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.194 120.915 180.000 0.000 0.890 0.000 0.000 0.000




















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.182 9.331 180.000 0.000 0.617 0.000 0.000 0.000




















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.194 37.756 180.000 0.000 0.861 0.000 0.000 0.000




















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.206 43.218 180.000 0.000 0.472 0.000 0.000 0.000




















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A F(-2) A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.207 112.483 180.000 0.000 0.700 0.000 0.000 0.000




















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 127 204 0 199 0 0 -1
normalized size 1 1.00 0.97 1.56 0.00 1.52 0.00 0.00 -0.01
time (sec) N/A 0.189 0.122 0.133 0.000 0.521 0.000 0.000 0.000




















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 110 167 0 161 0 0 -1
normalized size 1 1.00 1.03 1.56 0.00 1.50 0.00 0.00 -0.01
time (sec) N/A 0.119 0.094 0.112 0.000 0.711 0.000 0.000 0.000




















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 61 91 238 98 0 0 -1
normalized size 1 1.00 1.00 1.49 3.90 1.61 0.00 0.00 -0.02
time (sec) N/A 0.068 0.059 0.098 0.710 0.600 0.000 0.000 0.000




















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 24 28 0 0 0 0 -1
normalized size 1 1.00 0.77 0.90 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.119 0.066 0.126 0.000 0.459 0.000 0.000 0.000




















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 47 44 0 0 0 0 -1
normalized size 1 1.00 1.31 1.22 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.115 0.064 0.122 0.000 0.488 0.000 0.000 0.000




















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 69 85 63 0 0 0 0 -1
normalized size 1 0.97 1.20 0.89 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.106 0.294 0.126 0.000 0.615 0.000 0.000 0.000




















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 266 592 0 332 694 0 -1
normalized size 1 1.00 1.13 2.52 0.00 1.41 2.95 0.00 -0.00
time (sec) N/A 0.309 0.244 0.139 0.000 0.462 17.366 0.000 0.000




















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 211 479 0 259 568 0 -1
normalized size 1 1.00 1.12 2.53 0.00 1.37 3.01 0.00 -0.01
time (sec) N/A 0.190 0.172 0.126 0.000 0.462 10.347 0.000 0.000




















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 124 262 394 160 298 0 -1
normalized size 1 1.00 1.17 2.47 3.72 1.51 2.81 0.00 -0.01
time (sec) N/A 0.104 0.100 0.110 0.793 0.434 5.279 0.000 0.000




















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 37 42 0 0 0 0 -1
normalized size 1 1.00 0.79 0.89 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.144 0.320 0.128 0.000 0.416 0.000 0.000 0.000




















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 70 72 0 0 0 0 -1
normalized size 1 1.00 1.30 1.33 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.157 0.289 0.123 0.000 0.489 0.000 0.000 0.000




















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 108 110 0 0 0 0 -1
normalized size 1 1.00 1.29 1.31 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.281 0.404 0.120 0.000 0.656 0.000 0.000 0.000




















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 179 32 26 0 13
normalized size 1 1.00 1.00 0.93 11.93 2.13 1.73 0.00 0.87
time (sec) N/A 0.069 0.022 0.074 0.769 0.490 1.198 0.000 0.225




















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 132 32 26 0 13
normalized size 1 1.00 1.00 0.93 8.80 2.13 1.73 0.00 0.87
time (sec) N/A 0.068 0.020 0.067 0.779 0.833 0.836 0.000 0.195




















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 84 32 24 0 13
normalized size 1 1.00 1.00 0.93 5.60 2.13 1.60 0.00 0.87
time (sec) N/A 0.042 0.016 0.074 0.521 0.548 0.736 0.000 0.199




















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 11 12 0 30 22 0 11
normalized size 1 1.00 1.00 1.09 0.00 2.73 2.00 0.00 1.00
time (sec) N/A 0.075 0.030 0.077 0.000 0.413 1.222 0.000 0.221




















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 13 14 150 32 26 0 13
normalized size 1 1.00 1.00 1.08 11.54 2.46 2.00 0.00 1.00
time (sec) N/A 0.075 0.015 0.077 0.771 0.469 1.880 0.000 0.210




















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 0 32 29 0 13
normalized size 1 1.00 1.00 0.93 0.00 2.13 1.93 0.00 0.87
time (sec) N/A 0.070 0.015 0.081 0.000 0.886 2.342 0.000 0.203




















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 115 115 128 203 0 0 0 0 -1
normalized size 1 1.00 1.11 1.77 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.206 0.629 0.259 0.000 0.410 0.000 0.000 0.000




















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 86 86 98 168 0 0 0 0 -1
normalized size 1 1.00 1.14 1.95 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.160 0.400 0.248 0.000 0.562 0.000 0.000 0.000




















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 62 131 119 115 0 76 -1
normalized size 1 1.00 1.35 2.85 2.59 2.50 0.00 1.65 -0.02
time (sec) N/A 0.058 0.098 0.231 0.600 0.629 0.000 0.549 0.000




















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.082 0.601 0.294 0.000 0.699 0.000 0.000 0.000




















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 55 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.117 2.918 0.250 0.000 0.625 0.000 0.000 0.000




















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 44 67 102 52 42 74 45
normalized size 1 1.00 0.88 1.34 2.04 1.04 0.84 1.48 0.90
time (sec) N/A 0.037 0.019 0.033 0.653 0.758 0.848 0.459 0.247




















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 75 89 0 0 0 0 -1
normalized size 1 1.00 0.74 0.88 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.044 0.129 0.009 0.000 0.721 0.000 0.000 0.000




















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 31 30 42 27 40 28
normalized size 1 1.00 1.00 0.91 0.88 1.24 0.79 1.18 0.82
time (sec) N/A 0.022 0.015 0.002 0.310 0.483 0.223 0.326 0.250




















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 35 77 0 0 0 0 -1
normalized size 1 1.00 0.22 0.48 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.054 0.005 0.007 0.000 0.652 0.000 0.000 0.000




















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 54 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.062 0.008 0.069 0.000 0.544 0.000 0.000 0.000




















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 42 66 0 0 0 0 -1
normalized size 1 1.00 0.56 0.88 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.023 0.042 0.008 0.000 0.607 0.000 0.000 0.000




















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 28 46 106 0 58 -1
normalized size 1 1.00 1.00 0.85 1.39 3.21 0.00 1.76 -0.03
time (sec) N/A 0.026 0.007 0.011 0.366 1.048 0.000 0.302 0.000




















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 88 101 0 0 0 0 -1
normalized size 1 1.00 0.45 0.51 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.090 0.169 0.010 0.000 0.591 0.000 0.000 0.000




















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 54 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.062 0.008 0.054 0.000 0.548 0.000 0.000 0.000




















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 43 47 46 40 0 50 -1
normalized size 1 1.00 0.60 0.65 0.64 0.56 0.00 0.69 -0.01
time (sec) N/A 0.025 0.024 0.013 0.864 0.783 0.000 0.339 0.000




















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 37 37 36 35 0 48 -1
normalized size 1 1.00 0.66 0.66 0.64 0.62 0.00 0.86 -0.02
time (sec) N/A 0.017 0.018 0.003 0.786 0.718 0.000 0.477 0.000




















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 33 24 23 28 29 40 31
normalized size 1 1.00 0.94 0.69 0.66 0.80 0.83 1.14 0.89
time (sec) N/A 0.011 0.041 0.003 0.850 0.772 0.303 0.519 0.920




















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 78 0 0 0 0 -1
normalized size 1 1.00 1.00 1.70 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.064 0.009 0.068 0.000 0.717 0.000 0.000 0.000




















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 21 20 25 0 35 -1
normalized size 1 1.00 1.00 0.81 0.77 0.96 0.00 1.35 -0.04
time (sec) N/A 0.013 0.011 0.003 0.860 0.551 0.000 0.367 0.000




















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 34 31 30 32 0 52 -1
normalized size 1 1.00 0.74 0.67 0.65 0.70 0.00 1.13 -0.02
time (sec) N/A 0.017 0.015 0.003 0.841 0.569 0.000 0.316 0.000




















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 39 41 40 37 0 67 -1
normalized size 1 1.00 0.63 0.66 0.65 0.60 0.00 1.08 -0.02
time (sec) N/A 0.022 0.017 0.004 0.889 0.607 0.000 0.375 0.000




















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 44 51 50 42 0 82 -1
normalized size 1 1.00 0.56 0.65 0.64 0.54 0.00 1.05 -0.01
time (sec) N/A 0.027 0.019 0.007 0.858 0.594 0.000 0.765 0.000




















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 57 54 69 122 0 74 -1
normalized size 1 1.00 1.02 0.96 1.23 2.18 0.00 1.32 -0.02
time (sec) N/A 0.040 0.044 0.027 0.460 0.676 0.000 0.549 0.000




















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 29 38 27 45 0 47 27
normalized size 1 1.00 0.88 1.15 0.82 1.36 0.00 1.42 0.82
time (sec) N/A 0.017 0.024 0.005 0.318 0.875 0.000 0.492 0.034




















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 77 31 43 96 0 49 25
normalized size 1 1.00 3.08 1.24 1.72 3.84 0.00 1.96 1.00
time (sec) N/A 0.017 0.096 0.006 0.631 0.503 0.000 0.323 0.549




















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 52 114 0 0 0 0 -1
normalized size 1 1.00 1.00 2.19 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.062 0.008 0.007 0.000 0.471 0.000 0.000 0.000




















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 31 30 49 20 39 27
normalized size 1 1.00 1.00 1.07 1.03 1.69 0.69 1.34 0.93
time (sec) N/A 0.024 0.017 0.005 0.667 0.684 1.927 0.418 0.227




















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 44 46 97 58 0 84 43
normalized size 1 1.00 0.88 0.92 1.94 1.16 0.00 1.68 0.86
time (sec) N/A 0.034 0.024 0.005 0.633 0.700 0.000 0.425 0.236




















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 48 53 47 62 0 75 -1
normalized size 1 1.00 0.89 0.98 0.87 1.15 0.00 1.39 -0.02
time (sec) N/A 0.040 0.031 0.007 0.462 0.809 0.000 0.668 0.000




















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 74 0 0 0 0 0 -1
normalized size 1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.044 0.081 0.040 0.000 0.000 0.000 0.000 0.000




















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 66 0 0 0 0 0 -1
normalized size 1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.035 0.053 0.023 0.000 0.000 0.000 0.000 0.000




















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 58 0 0 0 0 0 -1
normalized size 1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.030 0.053 0.012 0.000 0.000 0.000 0.000 0.000




















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 56 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.023 0.028 0.012 0.000 0.000 0.000 0.000 0.000




















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 60 133 0 0 0 0 -1
normalized size 1 1.00 1.00 2.22 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.066 0.008 0.004 0.000 0.000 0.000 0.000 0.000




















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 61 0 0 0 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.033 0.057 0.013 0.000 0.000 0.000 0.000 0.000




















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 62 0 0 0 0 0 -1
normalized size 1 1.00 0.91 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.039 0.047 0.015 0.000 0.000 0.000 0.000 0.000




















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F B F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 149 0 0 269 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 1.76 0.00 0.00 -0.01
time (sec) N/A 0.036 0.125 0.234 0.000 0.523 0.000 0.000 0.000




















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 180 0 0 188 0 0 -1
normalized size 1 1.00 1.40 0.00 0.00 1.46 0.00 0.00 -0.01
time (sec) N/A 0.064 0.147 0.212 0.000 0.481 0.000 0.000 0.000




















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 76 0 0 114 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 1.50 0.00 0.00 -0.01
time (sec) N/A 0.015 0.028 0.203 0.000 0.540 0.000 0.000 0.000




















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-2) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 48 47 44 52 0 0 39
normalized size 1 1.00 0.96 0.94 0.88 1.04 0.00 0.00 0.78
time (sec) N/A 0.040 0.026 0.023 0.729 0.454 0.000 0.000 0.534




















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 194 194 150 0 0 0 0 0 -1
normalized size 1 1.00 0.77 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.048 0.791 0.155 0.000 0.565 0.000 0.000 0.000




















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 245 245 197 0 0 0 0 0 -1
normalized size 1 1.00 0.80 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.043 1.447 0.108 0.000 0.844 0.000 0.000 0.000




















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 229 0 0 0 0 0 -1
normalized size 1 1.00 0.83 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.054 0.581 0.107 0.000 0.512 0.000 0.000 0.000




















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F B F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 149 0 0 269 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 1.76 0.00 0.00 -0.01
time (sec) N/A 0.032 0.125 0.191 0.000 0.570 0.000 0.000 0.000




















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 180 0 0 188 0 0 -1
normalized size 1 1.00 1.40 0.00 0.00 1.46 0.00 0.00 -0.01
time (sec) N/A 0.059 0.146 0.186 0.000 0.587 0.000 0.000 0.000




















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 76 0 0 114 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 1.50 0.00 0.00 -0.01
time (sec) N/A 0.013 0.020 0.177 0.000 0.514 0.000 0.000 0.000




















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-2) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 48 48 44 52 0 0 39
normalized size 1 1.00 0.96 0.96 0.88 1.04 0.00 0.00 0.78
time (sec) N/A 0.039 0.027 0.017 0.704 0.484 0.000 0.000 0.452




















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F(-2) F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 191 191 146 0 0 0 0 0 -1
normalized size 1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.023 0.691 0.105 0.000 0.427 0.000 0.000 0.000




















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F(-2) F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 244 244 196 0 0 0 0 0 -1
normalized size 1 1.00 0.80 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.029 1.491 0.102 0.000 0.677 0.000 0.000 0.000




















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F(-2) F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 272 272 227 0 0 0 0 0 -1
normalized size 1 1.00 0.83 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.051 0.771 0.104 0.000 0.471 0.000 0.000 0.000




















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 348 348 337 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.112 0.288 0.108 0.000 0.000 0.000 0.000 0.000




















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 312 312 258 0 0 0 0 0 -1
normalized size 1 1.00 0.83 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.105 0.228 0.103 0.000 0.000 0.000 0.000 0.000




















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 263 263 259 0 0 0 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.027 0.055 0.115 0.000 0.000 0.000 0.000 0.000




















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 231 180 0 0 0 0 0 -1
normalized size 1 1.00 0.78 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.030 0.005 0.112 0.000 0.000 0.000 0.000 0.000




















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 291 291 291 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.052 0.388 0.125 0.000 0.000 0.000 0.000 0.000




















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 326 326 308 0 0 0 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.072 0.832 0.108 0.000 0.000 0.000 0.000 0.000




















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 389 389 365 0 0 0 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.088 0.995 0.133 0.000 0.000 0.000 0.000 0.000




















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 348 348 337 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.097 0.288 0.109 0.000 0.000 0.000 0.000 0.000




















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 310 310 255 0 0 0 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.096 0.263 0.106 0.000 0.000 0.000 0.000 0.000




















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 262 262 259 0 0 0 0 0 -1
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.028 0.055 0.105 0.000 0.000 0.000 0.000 0.000




















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 231 180 0 0 0 0 0 -1
normalized size 1 1.00 0.78 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.028 0.004 0.107 0.000 0.000 0.000 0.000 0.000




















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 291 291 291 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.049 0.375 0.104 0.000 0.000 0.000 0.000 0.000




















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-2) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 326 326 308 0 0 0 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.073 0.849 0.103 0.000 0.000 0.000 0.000 0.000




















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 389 389 370 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.081 0.981 0.111 0.000 0.000 0.000 0.000 0.000




















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 43 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.044 0.093 0.470 0.000 0.619 0.000 0.000 0.000




















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F(-1) F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 261 261 244 1175 0 0 0 0 -1
normalized size 1 1.00 0.93 4.50 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.226 0.064 0.706 0.000 0.496 0.000 0.000 0.000




















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 194 195 187 649 0 0 0 0 -1
normalized size 1 1.01 0.96 3.35 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.216 0.064 0.009 0.000 0.474 0.000 0.000 0.000




















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD TBD
size 133 133 127 263 0 0 0 0 -1
normalized size 1 1.00 0.95 1.98 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.122 0.030 0.008 0.000 0.528 0.000 0.000 0.000




















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 43 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.049 0.100 0.283 0.000 0.534 0.000 0.000 0.000




















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 43 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.045 0.848 0.267 0.000 0.478 0.000 0.000 0.000




















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 76 166 0 0 0 0 -1
normalized size 1 1.00 1.00 2.18 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.076 0.528 0.006 0.000 0.000 0.000 0.000 0.000




















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 165 165 119 322 491 138 0 173 -1
normalized size 1 1.00 0.72 1.95 2.98 0.84 0.00 1.05 -0.01
time (sec) N/A 0.172 0.089 0.012 0.698 0.559 0.000 0.414 0.000




















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 115 115 102 264 273 117 0 140 -1
normalized size 1 1.00 0.89 2.30 2.37 1.02 0.00 1.22 -0.01
time (sec) N/A 0.125 0.118 0.005 0.692 0.633 0.000 0.605 0.000




















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A F A F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 67 67 73 138 175 93 0 106 -1
normalized size 1 1.00 1.09 2.06 2.61 1.39 0.00 1.58 -0.01
time (sec) N/A 0.071 0.108 0.004 0.682 0.558 0.000 0.322 0.000




















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 31 31 46 89 141 73 0 80 -1
normalized size 1 1.00 1.48 2.87 4.55 2.35 0.00 2.58 -0.03
time (sec) N/A 0.017 0.036 0.003 0.463 0.597 0.000 0.295 0.000




















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F A B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 89 89 99 126 160 136 0 158 180
normalized size 1 1.00 1.11 1.42 1.80 1.53 0.00 1.78 2.02
time (sec) N/A 0.121 0.079 0.005 0.344 0.494 0.000 0.423 1.038




















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F B B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 99 99 110 267 170 183 0 234 269
normalized size 1 1.00 1.11 2.70 1.72 1.85 0.00 2.36 2.72
time (sec) N/A 0.105 0.171 0.010 0.357 0.687 0.000 0.938 1.261




















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 116 116 129 457 313 181 0 384 -1
normalized size 1 1.00 1.11 3.94 2.70 1.56 0.00 3.31 -0.01
time (sec) N/A 0.086 0.217 0.008 0.963 0.712 0.000 0.382 0.000




















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 156 156 162 501 352 230 0 715 -1
normalized size 1 1.00 1.04 3.21 2.26 1.47 0.00 4.58 -0.01
time (sec) N/A 0.108 0.122 0.010 0.563 0.513 0.000 0.529 0.000




















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A F B F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 207 207 192 841 594 295 0 1173 -1
normalized size 1 1.00 0.93 4.06 2.87 1.43 0.00 5.67 -0.00
time (sec) N/A 0.171 0.809 0.010 0.453 0.685 0.000 0.492 0.000




















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 359 359 198 0 0 0 0 0 -1
normalized size 1 1.00 0.55 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.743 0.333 0.011 0.000 0.629 0.000 0.000 0.000




















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 251 138 0 0 0 0 0 -1
normalized size 1 1.00 0.55 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.516 0.205 0.010 0.000 0.567 0.000 0.000 0.000




















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 117 117 76 0 0 0 0 0 -1
normalized size 1 1.00 0.65 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.277 0.108 0.009 0.000 0.497 0.000 0.000 0.000




















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 44 0 0 0 0 0 -1
normalized size 1 1.00 0.68 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.055 0.039 0.004 0.000 0.577 0.000 0.000 0.000




















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.038 0.142 0.009 0.000 0.609 0.000 0.000 0.000




















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.037 0.474 0.009 0.000 0.477 0.000 0.000 0.000




















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 52 125 0 0 0 0 -1
normalized size 1 1.00 0.87 2.08 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.096 0.018 0.057 0.000 0.718 0.000 0.000 0.000




















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 3 3 3 4 0 0 0 0 -1
normalized size 1 1.00 1.00 1.33 0.00 0.00 0.00 0.00 -0.33
time (sec) N/A 0.060 0.064 0.126 0.000 0.608 0.000 0.000 0.000




















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 41 38 37 66 61 105 88
normalized size 1 1.00 0.91 0.84 0.82 1.47 1.36 2.33 1.96
time (sec) N/A 0.049 0.027 0.003 0.314 0.694 0.847 0.321 0.569




















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 41 0 39 152 76 113 99
normalized size 1 1.00 0.89 0.00 0.85 3.30 1.65 2.46 2.15
time (sec) N/A 0.050 0.042 0.031 0.345 0.637 71.048 0.364 0.361




















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A F B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 131 46 0 242 0 0 41
normalized size 1 1.00 2.67 0.94 0.00 4.94 0.00 0.00 0.84
time (sec) N/A 0.032 0.128 0.044 0.000 0.898 0.000 0.000 1.086




















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A F A F A A F A B
verified N/A N/A Yes TBD TBD TBD TBD TBD TBD
size 27 0 28 0 1 1 0 1 1
normalized size 1 0.00 1.04 0.00 0.04 0.04 0.00 0.04 0.04
time (sec) N/A 0.039 0.558 0.095 0.780 0.484 0.000 0.278 0.224




















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 37 0 0 108 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 2.92 0.00 0.00 -0.03
time (sec) N/A 0.067 0.044 0.252 0.000 0.572 0.000 0.000 0.000




















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 24 0 0 33 0 0 23
normalized size 1 1.00 0.83 0.00 0.00 1.14 0.00 0.00 0.79
time (sec) N/A 0.062 0.024 0.214 0.000 0.477 0.000 0.000 0.245










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 2.1:Rubi 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 1.00 12 0.417







2 A 10 6 1.00 14 0.429







3 A 12 7 1.00 14 0.500







4 A 5 5 1.00 16 0.312







5 A 4 4 1.00 16 0.250







6 A 4 4 1.00 14 0.286







7 A 3 2 1.00 8 0.250







8 A 8 5 1.00 16 0.312







9 A 3 3 1.00 16 0.188







10 A 4 4 1.00 16 0.250







11 A 5 5 1.00 16 0.312







12 A 18 7 1.00 18 0.389







13 A 13 7 1.00 18 0.389







14 A 9 7 1.00 16 0.438







15 A 3 3 1.00 10 0.300







16 A 10 6 1.00 18 0.333







17 A 10 7 1.00 18 0.389







18 A 13 10 1.00 18 0.556







19 A 27 7 1.00 18 0.389







20 A 17 6 1.00 18 0.333







21 A 11 7 1.00 16 0.438







22 A 4 4 1.00 10 0.400







23 A 0 0 0.00 0 0.000







24 A 0 0 0.00 0 0.000







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 0.500







28 A 0 0 0.00 0 0.000







29 A 0 0 0.00 0 0.000







30 A 0 0 0.00 0 0.000







31 A 3 3 1.00 16 0.188







32 A 0 0 0.00 0 0.000







33 A 0 0 0.00 0 0.000







34 A 16 12 1.00 30 0.400







35 A 13 8 1.00 30 0.267







36 A 8 6 1.00 28 0.214







37 A 22 20 1.00 30 0.667







38 A 35 22 1.00 30 0.733







39 A 24 17 1.00 30 0.567







40 A 20 12 1.00 30 0.400







41 A 12 9 1.00 28 0.321







42 A 29 24 1.00 30 0.800







43 A 30 18 1.00 30 0.600







44 A 26 15 1.00 30 0.500







45 A 14 10 1.00 28 0.357







46 A 37 29 1.00 30 0.967







47 A 13 7 1.00 30 0.233







48 A 9 7 1.00 30 0.233







49 A 6 5 1.00 28 0.179







50 A 2 2 1.00 23 0.087







51 A 10 7 1.00 30 0.233







52 A 13 10 1.00 30 0.333







53 A 0 0 0.00 0 0.000







54 A 13 9 1.00 34 0.265







55 A 11 8 1.00 32 0.250







56 A 9 7 1.00 24 0.292







57 A 0 0 0.00 0 0.000







58 A 6 6 1.00 10 0.600







59 A 5 5 1.00 10 0.500







60 A 5 5 1.00 8 0.625







61 A 3 3 1.00 6 0.500







62 A 9 6 1.00 10 0.600







63 A 4 4 1.00 10 0.400







64 A 5 5 1.00 10 0.500







65 A 6 6 1.00 10 0.600







66 A 7 7 1.00 10 0.700







67 A 19 8 1.00 12 0.667







68 A 14 8 1.00 12 0.667







69 A 10 8 1.00 10 0.800







70 A 4 4 1.00 8 0.500







71 A 11 7 1.00 12 0.583







72 A 11 8 1.00 12 0.667







73 A 14 11 1.00 12 0.917







74 A 40 16 1.00 12 1.333







75 A 18 11 1.00 12 0.917







76 A 12 10 1.00 10 1.000







77 A 5 4 1.00 8 0.500







78 A 13 8 1.00 12 0.667







79 A 13 9 1.00 12 0.750







80 A 21 13 1.00 12 1.083







81 A 14 8 1.00 12 0.667







82 A 10 8 1.00 10 0.800







83 A 3 3 1.00 8 0.375







84 A 0 0 0.00 0 0.000







85 A 12 7 1.00 12 0.583







86 A 8 7 1.00 10 0.700







87 A 4 4 1.00 8 0.500







88 A 0 0 0.00 0 0.000







89 A 24 12 1.00 12 1.000







90 A 14 12 1.00 10 1.200







91 A 5 5 1.00 8 0.625







92 A 0 0 0.00 0 0.000







93 A 0 0 0.00 0 0.000







94 A 22 9 1.00 16 0.562







95 A 14 9 1.00 14 0.643







96 A 5 4 1.00 12 0.333







97 A 0 0 0.00 0 0.000







98 A 23 12 1.00 18 0.667







99 A 14 10 1.00 16 0.625







100 A 8 7 1.00 14 0.500







101 A 16 10 1.00 16 0.625







102 A 9 8 1.00 14 0.571







103 A 18 10 1.00 16 0.625







104 A 10 8 1.00 14 0.571







105 A 20 9 1.00 18 0.500







106 A 12 8 1.00 16 0.500







107 A 7 6 1.00 14 0.429







108 A 16 10 1.00 16 0.625







109 A 8 7 1.00 14 0.500







110 A 22 15 1.00 16 0.938







111 A 9 8 1.00 14 0.571







112 A 21 13 1.00 16 0.812







113 A 10 8 1.00 14 0.571







114 A 3 3 1.00 21 0.143







115 A 6 5 1.00 21 0.238







116 A 6 5 1.00 21 0.238







117 A 6 5 1.00 21 0.238







118 A 5 5 1.00 19 0.263







119 A 4 3 1.00 10 0.300







120 A 7 7 1.00 21 0.333







121 A 6 6 1.00 21 0.286







122 A 4 4 1.00 21 0.190







123 A 7 7 1.00 21 0.333







124 A 5 5 1.00 21 0.238







125 A 8 7 1.00 21 0.333







126 A 3 3 1.00 23 0.130







127 A 9 7 1.00 23 0.304







128 A 8 6 1.00 23 0.261







129 A 7 7 1.00 23 0.304







130 A 6 6 1.00 21 0.286







131 A 4 4 1.00 12 0.333







132 A 8 8 0.99 23 0.348







133 A 9 7 1.00 23 0.304







134 A 5 5 1.00 23 0.217







135 A 11 9 1.00 23 0.391







136 A 0 0 0.00 0 0.000







137 A 17 9 1.00 23 0.391







138 A 13 7 1.00 23 0.304







139 A 12 9 1.00 23 0.391







140 A 8 7 1.00 21 0.333







141 A 6 4 1.00 12 0.333







142 A 9 9 1.00 23 0.391







143 A 11 8 1.00 23 0.348







144 A 9 9 1.00 23 0.391







145 A 16 12 1.00 23 0.522







146 A 0 0 0.00 0 0.000







147 A 16 6 1.00 23 0.261







148 A 13 8 1.00 23 0.348







149 A 9 6 1.00 21 0.286







150 A 6 4 1.00 12 0.333







151 A 10 9 1.00 23 0.391







152 A 13 9 1.00 23 0.391







153 A 10 10 1.00 23 0.435







154 A 21 12 1.00 23 0.522







155 A 0 0 0.00 0 0.000







156 A 14 7 0.98 23 0.304







157 A 11 7 1.00 23 0.304







158 A 11 7 0.97 23 0.304







159 A 8 7 1.00 21 0.333







160 A 5 5 1.00 12 0.417







161 A 0 0 0.00 0 0.000







162 A 13 6 0.98 23 0.261







163 A 10 6 1.00 23 0.261







164 A 10 6 0.98 23 0.261







165 A 6 6 1.00 21 0.286







166 A 6 6 0.96 12 0.500







167 A 0 0 0.00 0 0.000







168 A 26 9 0.99 23 0.391







169 A 20 9 1.00 23 0.391







170 A 18 10 1.24 23 0.435







171 A 11 10 1.00 21 0.476







172 A 7 7 1.00 12 0.583







173 A 0 0 0.00 0 0.000







174 A 24 8 0.99 23 0.348







175 A 17 8 1.00 23 0.348







176 A 18 10 0.99 23 0.435







177 A 9 9 1.00 21 0.429







178 A 8 7 0.98 12 0.583







179 A 0 0 0.00 0 0.000







180 A 21 9 1.00 25 0.360







181 A 16 9 1.00 25 0.360







182 A 16 9 1.00 25 0.360







183 A 11 9 1.00 23 0.391







184 A 8 7 1.00 14 0.500







185 A 0 0 0.00 0 0.000







186 A 43 12 1.00 25 0.480







187 A 27 11 1.00 25 0.440







188 A 24 12 1.00 25 0.480







189 A 13 11 1.00 23 0.478







190 A 9 8 1.00 14 0.571







191 A 0 0 0.00 0 0.000







192 A 46 12 1.00 25 0.480







193 A 29 11 1.00 25 0.440







194 A 26 12 1.00 25 0.480







195 A 14 11 1.00 23 0.478







196 A 10 8 1.00 14 0.571







197 A 0 0 0.00 0 0.000







198 A 77 13 1.00 25 0.520







199 A 42 11 1.00 25 0.440







200 A 35 13 1.00 25 0.520







201 A 16 11 1.00 23 0.478







202 A 11 8 1.00 14 0.571







203 A 0 0 0.00 0 0.000







204 A 20 8 1.00 25 0.320







205 A 15 8 1.00 25 0.320







206 A 15 8 1.00 25 0.320







207 A 10 8 1.00 23 0.348







208 A 7 6 1.00 14 0.429







209 A 0 0 0.00 0 0.000







210 A 19 7 1.00 25 0.280







211 A 14 7 1.00 25 0.280







212 A 14 7 1.00 25 0.280







213 A 8 7 1.00 23 0.304







214 A 8 7 1.00 14 0.500







215 A 0 0 0.00 0 0.000







216 A 36 10 1.00 25 0.400







217 A 26 10 1.00 25 0.400







218 A 24 11 1.00 25 0.440







219 A 13 11 1.00 23 0.478







220 A 9 8 1.00 14 0.571







221 A 0 0 0.00 0 0.000







222 A 34 9 1.00 25 0.360







223 A 23 9 1.00 25 0.360







224 A 24 11 1.00 25 0.440







225 A 11 10 1.00 23 0.435







226 A 10 8 1.00 14 0.571







227 A 0 0 0.00 0 0.000







228 A 8 7 1.00 23 0.304







229 A 6 5 1.00 23 0.217







230 A 7 7 1.00 23 0.304







231 A 5 5 1.00 23 0.217







232 A 6 6 1.00 23 0.261







233 A 4 4 1.00 23 0.174







234 A 7 7 1.00 23 0.304







235 A 5 5 1.00 23 0.217







236 A 3 3 1.00 25 0.120







237 A 3 3 1.00 25 0.120







238 A 3 3 1.00 25 0.120







239 A 3 3 1.00 25 0.120







240 A 3 3 1.00 25 0.120







241 A 3 3 1.00 25 0.120







242 A 3 3 1.00 25 0.120







243 A 3 3 1.00 25 0.120







244 A 0 0 0.00 0 0.000







245 A 0 0 0.00 0 0.000







246 A 0 0 0.00 0 0.000







247 A 0 0 0.00 0 0.000







248 A 0 0 0.00 0 0.000







249 A 0 0 0.00 0 0.000







250 A 0 0 0.00 0 0.000







251 A 0 0 0.00 0 0.000







252 A 0 0 0.00 0 0.000







253 A 0 0 0.00 0 0.000







254 A 0 0 0.00 0 0.000







255 A 0 0 0.00 0 0.000







256 A 0 0 0.00 0 0.000







257 A 0 0 0.00 0 0.000







258 A 0 0 0.00 0 0.000







259 A 0 0 0.00 0 0.000







260 A 7 6 1.00 30 0.200







261 A 6 6 1.00 30 0.200







262 A 4 4 1.00 28 0.143







263 A 5 4 1.00 30 0.133







264 A 6 6 1.00 30 0.200







265 A 4 4 0.97 30 0.133







266 A 15 9 1.00 30 0.300







267 A 11 9 1.00 30 0.300







268 A 7 6 1.00 28 0.214







269 A 6 4 1.00 30 0.133







270 A 7 5 1.00 30 0.167







271 A 11 8 1.00 30 0.267







272 A 2 2 1.00 30 0.067







273 A 2 2 1.00 30 0.067







274 A 2 2 1.00 28 0.071







275 A 2 2 1.00 30 0.067







276 A 2 2 1.00 30 0.067







277 A 2 2 1.00 30 0.067







278 A 8 8 1.00 30 0.267







279 A 7 7 1.00 30 0.233







280 A 3 3 1.00 28 0.107







281 A 0 0 0.00 0 0.000







282 A 0 0 0.00 0 0.000







283 A 5 5 1.00 10 0.500







284 A 4 4 1.00 10 0.400







285 A 3 3 1.00 8 0.375







286 A 5 5 1.00 6 0.833







287 A 5 5 1.00 10 0.500







288 A 3 3 1.00 10 0.300







289 A 5 5 1.00 10 0.500







290 A 6 6 1.00 10 0.600







291 A 5 5 1.00 10 0.500







292 A 7 5 1.00 10 0.500







293 A 6 5 1.00 8 0.625







294 A 6 6 1.00 6 1.000







295 A 5 5 1.00 10 0.500







296 A 3 3 1.00 10 0.300







297 A 4 4 1.00 10 0.400







298 A 5 4 1.00 10 0.400







299 A 6 4 1.00 10 0.400







300 A 6 6 1.00 10 0.600







301 A 3 3 1.00 8 0.375







302 A 5 5 1.00 6 0.833







303 A 5 5 1.00 10 0.500







304 A 3 3 1.00 10 0.300







305 A 5 5 1.00 10 0.500







306 A 5 4 1.00 10 0.400







307 A 3 3 1.00 10 0.300







308 A 3 3 1.00 10 0.300







309 A 3 3 1.00 8 0.375







310 A 3 3 1.00 6 0.500







311 A 5 5 1.00 10 0.500







312 A 3 3 1.00 10 0.300







313 A 3 3 1.00 10 0.300







314 A 3 2 1.00 20 0.100







315 A 5 4 1.00 20 0.200







316 A 2 2 1.00 20 0.100







317 A 4 3 1.00 18 0.167







318 A 1 1 1.00 20 0.050







319 A 1 1 1.00 20 0.050







320 A 2 2 1.00 20 0.100







321 A 3 2 1.00 20 0.100







322 A 5 4 1.00 20 0.200







323 A 2 2 1.00 20 0.100







324 A 4 3 1.00 18 0.167







325 A 1 1 1.00 20 0.050







326 A 1 1 1.00 20 0.050







327 A 2 2 1.00 20 0.100







328 A 2 2 1.00 22 0.091







329 A 2 2 1.00 22 0.091







330 A 1 1 1.00 22 0.045







331 A 1 1 1.00 22 0.045







332 A 1 1 1.00 22 0.045







333 A 2 2 1.00 22 0.091







334 A 2 2 1.00 22 0.091







335 A 2 2 1.00 22 0.091







336 A 2 2 1.00 22 0.091







337 A 1 1 1.00 22 0.045







338 A 1 1 1.00 22 0.045







339 A 1 1 1.00 22 0.045







340 A 2 2 1.00 22 0.091







341 A 2 2 1.00 22 0.091







342 A 0 0 0.00 0 0.000







343 A 8 8 1.00 40 0.200







344 A 7 7 1.01 40 0.175







345 A 6 7 1.00 38 0.184







346 A 0 0 0.00 0 0.000







347 A 0 0 0.00 0 0.000







348 A 6 6 1.00 10 0.600







349 A 5 4 1.00 12 0.333







350 A 5 4 1.00 12 0.333







351 A 5 4 1.00 10 0.400







352 A 5 4 1.00 8 0.500







353 A 9 8 1.00 12 0.667







354 A 9 8 1.00 12 0.667







355 A 6 5 1.00 12 0.417







356 A 7 6 1.00 12 0.500







357 A 8 7 1.00 12 0.583







358 A 37 8 1.00 14 0.571







359 A 27 8 1.00 14 0.571







360 A 17 8 1.00 12 0.667







361 A 7 4 1.00 10 0.400







362 A 0 0 0.00 0 0.000







363 A 0 0 0.00 0 0.000







364 A 7 7 1.00 19 0.368







365 A 2 2 1.00 15 0.133







366 A 4 4 1.00 12 0.333







367 A 4 4 1.00 14 0.286







368 A 6 6 1.00 10 0.600







369 F 0 0 N/A 0 N/A







370 A 2 2 1.00 26 0.077







371 A 2 2 1.00 26 0.077