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, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 29, 31, 33, 35, 36, 37, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 87, 89, 91, 92, 93, 94, 95, 96, 103, 104, 105, 106, 107, 108, 109, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 126, 127, 128, 129, 130, 167, 168, 169, 170, 171, 176, 177, 178, 179, 180, 185, 186, 187, 188, 189, 190, 194, 195, 196, 197, 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, 240, 241, 242, 243, 244, 245, 246, 248, 252, 253, 254, 255, 256, 257, 260, 261, 262, 263, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 297, 300, 303, 306, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 331, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 393, 394, 395, 396, 397, 398, 399, 400, 401, 407, 408, 409, 411, 412, 413, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454 }

B grade: { 26, 28, 30, 32, 34, 328, 329, 330, 332, 333, 334, 349, 350, 351, 352, 353, 354, 392, 410, 414, 415, 416, 417, 418, 419, 420, 421 }

C grade: { 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, 86, 88, 90, 97, 98, 99, 100, 101, 102, 110, 111, 112, 124, 125, 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, 172, 173, 174, 175, 181, 182, 183, 184, 191, 192, 193, 198, 199, 200, 201, 202, 238, 239, 247, 249, 250, 251, 258, 259, 264, 265, 266, 267, 268, 289, 290, 291, 292, 293, 294, 295, 296, 298, 299, 301, 302, 304, 305, 307, 402, 403, 404, 405, 406, 437, 438 }

F grade: { }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 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, 87, 88, 89, 90, 91, 94, 95, 96, 103, 105, 117, 118, 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, 273, 274, 275, 276, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 303, 306, 308, 309, 310, 311, 312, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 355, 356, 358, 360, 362, 363, 369, 377, 382, 383, 384, 385, 386, 388, 389, 394, 402, 408, 431, 432, 433, 434, 435, 436, 448, 449, 450 }

B grade: { 28, 32, 86, 104, 110, 111, 112, 119, 120, 124, 125, 126, 127, 272, 313, 328, 329, 330, 331, 332, 333, 334, 335, 336, 348, 349, 350, 351, 352, 353, 354, 357, 359, 361, 387, 412 }

C grade: { 92, 93, 97, 98, 99, 100, 101, 102, 106, 107, 108, 109, 113, 114, 115, 116, 121, 122, 123, 128, 129, 130, 295, 296, 297, 298, 299, 300, 301, 302, 304, 305, 307, 407, 411 }

F grade: { 277, 278, 279, 364, 365, 366, 367, 368, 370, 371, 372, 373, 374, 375, 376, 378, 379, 380, 381, 390, 391, 392, 393, 395, 396, 397, 398, 399, 400, 401, 403, 404, 405, 406, 409, 410, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 451, 452, 453, 454 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 31, 33, 34, 35, 36, 37, 94, 95, 96, 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, 240, 241, 242, 243, 244, 245, 252, 253, 254, 255, 260, 261, 262, 263, 284, 285, 286, 303, 306, 308, 309, 319, 320, 321, 322, 323, 324, 325, 326, 338, 339, 340, 344, 345, 346, 347, 349, 352, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 369, 377, 383, 387, 394, 402, 433, 434, 435, 436, 448, 449, 450 }

B grade: { 28, 30, 32, 283, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 341, 342, 343, 348, 350, 351, 353 }

C grade: { }

F grade: { 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, 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, 236, 237, 238, 239, 246, 247, 248, 249, 250, 251, 256, 257, 258, 259, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 304, 305, 307, 310, 311, 312, 313, 314, 315, 316, 317, 318, 364, 365, 366, 367, 368, 370, 371, 372, 373, 374, 375, 376, 378, 379, 380, 381, 382, 384, 385, 386, 388, 389, 390, 391, 392, 393, 395, 396, 397, 398, 399, 400, 401, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 451, 452, 453, 454 }

2.1.5 FriCAS

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, 29, 31, 33, 35, 36, 37, 75, 76, 77, 78, 80, 81, 82, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 106, 107, 108, 109, 113, 114, 115, 116, 121, 122, 123, 128, 129, 130, 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, 280, 281, 282, 284, 285, 286, 287, 288, 297, 300, 303, 306, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 324, 325, 326, 338, 339, 340, 344, 345, 346, 355, 356, 357, 358, 359, 360, 361, 362, 363, 369, 377, 382, 383, 384, 385, 386, 387, 388, 389, 394, 402, 407, 408, 409, 410, 411, 412, 413, 414, 416, 419, 431, 432, 433, 434, 435, 436, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454 }

B grade: { 28, 30, 32, 34, 79, 84, 127, 283, 323, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 341, 342, 343, 347, 348, 349, 350, 351, 352, 353, 354 }

C grade: { }

F grade: { 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, 97, 98, 99, 100, 101, 102, 103, 104, 105, 110, 111, 112, 117, 118, 119, 120, 124, 125, 126, 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, 277, 278, 279, 289, 290, 291, 292, 293, 294, 295, 296, 298, 299, 301, 302, 304, 305, 307, 364, 365, 366, 367, 368, 370, 371, 372, 373, 374, 375, 376, 378, 379, 380, 381, 390, 391, 392, 393, 395, 396, 397, 398, 399, 400, 401, 403, 404, 405, 406, 415, 417, 418, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 437, 438, 439, 440, 441, 442, 443 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 16, 18, 20, 22, 23, 24, 25, 27, 29, 31, 33, 34, 35, 36, 37, 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, 308, 309, 319, 320, 321, 322, 324, 325, 326, 327, 338, 339, 340, 344, 345, 346, 347, 355, 356, 357, 358, 359, 360, 362, 363, 369, 377, 394, 433 }

B grade: { 9, 13, 15, 17, 19, 21, 26, 28, 30, 32, 283, 323, 328, 329, 330, 332, 333, 334, 341, 342, 343, 349, 350, 351, 352, 353, 354, 361, 402 }

C grade: { }

F grade: { 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, 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, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 310, 311, 312, 313, 314, 315, 316, 317, 318, 331, 335, 336, 337, 348, 364, 365, 366, 367, 368, 370, 371, 372, 373, 374, 375, 376, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 395, 396, 397, 398, 399, 400, 401, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454 }

2.1.7 Giac

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, 27, 29, 31, 33, 35, 36, 37, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 103, 104, 105, 106, 107, 108, 109, 112, 113, 117, 118, 119, 120, 121, 122, 123, 127, 167, 168, 169, 170, 171, 172, 173, 174, 175, 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, 236, 237, 238, 239, 246, 247, 248, 249, 250, 251, 255, 256, 262, 263, 269, 270, 271, 272, 273, 274, 275, 276, 283, 287, 288, 297, 300, 303, 306, 308, 309, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 349, 352, 354, 360, 361, 382, 384, 386, 387, 388, 408, 412, 432, 433, 434, 435, 436 }

B grade: { 26, 28, 30, 32, 34, 176, 177, 178, 179, 235, 240, 241, 242, 243, 244, 245, 328, 329, 330, 331, 332, 333, 334, 335, 336, 348, 350, 351, 353, 362, 383, 431 }

C grade: { }

F grade: { 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, 97, 98, 99, 100, 101, 102, 110, 111, 114, 115, 116, 124, 125, 126, 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, 252, 253, 254, 257, 258, 259, 260, 261, 264, 265, 266, 267, 268, 277, 278, 279, 280, 281, 282, 284, 285, 286, 289, 290, 291, 292, 293, 294, 295, 296, 298, 299, 301, 302, 304, 305, 307, 310, 311, 325, 326, 327, 337, 355, 356, 357, 358, 359, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 385, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 409, 410, 411, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454 }

2.1.8 Mupad

A grade: { }

B 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, 41, 48, 61, 72, 94, 95, 96, 98, 105, 113, 134, 142, 153, 162, 170, 178, 189, 198, 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, 236, 240, 241, 242, 243, 244, 245, 252, 253, 254, 255, 258, 260, 261, 262, 263, 266, 268, 280, 281, 282, 283, 284, 285, 286, 291, 308, 309, 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, 371, 382, 383, 384, 386, 387, 388, 392, 415, 416, 417, 418, 419, 420, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 444 }

C grade: { }

F grade: { 38, 39, 40, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 97, 99, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 135, 136, 137, 138, 139, 140, 141, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 154, 155, 156, 157, 158, 159, 160, 161, 163, 164, 165, 166, 167, 168, 169, 171, 172, 173, 174, 175, 176, 177, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 190, 191, 192, 193, 194, 195, 196, 197, 199, 200, 201, 202, 235, 237, 238, 239, 246, 247, 248, 249, 250, 251, 256, 257, 259, 264, 265, 267, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 287, 288, 289, 290, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 310, 311, 312, 313, 364, 365, 366, 367, 368, 369, 370, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 385, 389, 390, 391, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 421, 422, 423, 424, 425, 439, 440, 441, 442, 443, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454 }

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 A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 14 13 13 12 13 13
normalized size 1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.76
time (sec) N/A 0.005 0.002 0.039 1.297 0.485 0.098 0.162 0.022




















Problem 2 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 17 17 17 14 13 13 12 13 13
normalized size 1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.76
time (sec) N/A 0.004 0.002 0.041 1.303 0.484 0.085 0.147 0.022




















Problem 3 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 17 17 17 14 13 13 12 13 13
normalized size 1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.76
time (sec) N/A 0.003 0.000 0.043 1.349 0.637 0.059 0.146 0.019




















Problem 4 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 12 12 12 11 10 10 8 10 10
normalized size 1 1.00 1.00 0.92 0.83 0.83 0.67 0.83 0.83
time (sec) N/A 0.003 0.000 0.045 1.338 0.730 0.064 0.146 0.017




















Problem 5 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 13 13 13 12 11 11 10 14 11
normalized size 1 1.00 1.00 0.92 0.85 0.85 0.77 1.08 0.85
time (sec) N/A 0.005 0.001 0.052 1.304 0.573 0.110 0.150 0.024




















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 30 30 30 25 24 24 26 24 24
normalized size 1 1.00 1.00 0.83 0.80 0.80 0.87 0.80 0.80
time (sec) N/A 0.015 0.001 0.040 1.307 0.589 0.071 0.148 0.041




















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 25 24 24 24 24 24
normalized size 1 1.00 1.00 0.83 0.80 0.80 0.80 0.80 0.80
time (sec) N/A 0.020 0.001 0.038 1.341 0.796 0.071 0.157 0.033




















Problem 8 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 25 24 24 26 24 24
normalized size 1 1.00 1.00 0.83 0.80 0.80 0.87 0.80 0.80
time (sec) N/A 0.011 0.002 0.043 1.318 0.723 0.073 0.150 0.030




















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 25 24 24 24 24 24
normalized size 1 1.00 1.00 1.56 1.50 1.50 1.50 1.50 1.50
time (sec) N/A 0.007 0.002 0.042 1.292 0.671 0.073 0.197 0.031




















Problem 10 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 25 25 25 22 21 21 22 21 21
normalized size 1 1.00 1.00 0.88 0.84 0.84 0.88 0.84 0.84
time (sec) N/A 0.012 0.001 0.051 1.296 0.888 0.078 0.152 0.030




















Problem 11 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 46 46 46 37 36 36 42 36 36
normalized size 1 1.00 1.00 0.80 0.78 0.78 0.91 0.78 0.78
time (sec) N/A 0.016 0.002 0.036 1.332 0.537 0.074 0.153 0.039




















Problem 12 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 27 27 27 24 23 22 20 24 22
normalized size 1 1.00 1.00 0.89 0.85 0.81 0.74 0.89 0.81
time (sec) N/A 0.023 0.005 0.043 1.322 0.783 0.152 0.155 0.040




















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 27 26 82 56 26 23
normalized size 1 1.00 1.00 0.87 0.84 2.65 1.81 0.84 0.74
time (sec) N/A 0.016 0.009 0.044 2.942 0.828 0.166 0.148 4.913




















Problem 14 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 15 15 15 14 13 13 10 14 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.67 0.93 0.87
time (sec) N/A 0.007 0.002 0.044 1.423 0.877 0.128 0.191 4.916




















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 16 15 67 53 15 16
normalized size 1 1.00 1.00 0.67 0.62 2.79 2.21 0.62 0.67
time (sec) N/A 0.009 0.004 0.044 2.947 0.589 0.147 0.153 0.045




















Problem 16 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 22 22 22 21 20 18 15 24 18
normalized size 1 1.00 1.00 0.95 0.91 0.82 0.68 1.09 0.82
time (sec) N/A 0.012 0.005 0.046 1.343 0.802 0.211 0.147 0.063




















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 30 29 82 65 29 26
normalized size 1 1.00 1.00 0.88 0.85 2.41 1.91 0.85 0.76
time (sec) N/A 0.017 0.013 0.049 2.962 0.718 0.222 0.153 4.956




















Problem 18 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 35 32 31 33 31 43 31
normalized size 1 1.00 1.00 0.91 0.89 0.94 0.89 1.23 0.89
time (sec) N/A 0.026 0.007 0.051 1.269 0.596 0.292 0.167 0.060




















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 43 39 40 106 87 40 37
normalized size 1 1.00 1.00 0.91 0.93 2.47 2.02 0.93 0.86
time (sec) N/A 0.026 0.023 0.047 2.967 0.641 0.252 0.153 4.937




















Problem 20 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 49 49 49 44 44 45 42 57 46
normalized size 1 1.00 1.00 0.90 0.90 0.92 0.86 1.16 0.94
time (sec) N/A 0.033 0.007 0.054 1.388 0.921 0.335 0.157 0.062




















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 45 36 35 120 78 35 33
normalized size 1 1.00 1.00 0.80 0.78 2.67 1.73 0.78 0.73
time (sec) N/A 0.015 0.027 0.049 2.984 0.677 0.236 0.169 4.955




















Problem 22 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 38 38 33 35 34 47 34 47 34
normalized size 1 1.00 0.87 0.92 0.89 1.24 0.89 1.24 0.89
time (sec) N/A 0.028 0.018 0.054 1.402 0.716 0.334 0.158 0.049




















Problem 23 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 57 57 54 46 49 136 92 47 44
normalized size 1 1.00 0.95 0.81 0.86 2.39 1.61 0.82 0.77
time (sec) N/A 0.018 0.038 0.055 2.961 0.771 0.329 0.152 4.975




















Problem 24 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 49 49 41 46 50 73 51 51 51
normalized size 1 1.00 0.84 0.94 1.02 1.49 1.04 1.04 1.04
time (sec) N/A 0.039 0.037 0.054 1.365 0.795 0.411 0.209 0.053




















Problem 25 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 68 68 67 59 64 172 114 59 58
normalized size 1 1.00 0.99 0.87 0.94 2.53 1.68 0.87 0.85
time (sec) N/A 0.029 0.040 0.061 2.918 1.029 0.386 0.168 5.026




















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A A A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 13 13 29 22 21 21 19 23 11
normalized size 1 1.00 2.23 1.69 1.62 1.62 1.46 1.77 0.85
time (sec) N/A 0.011 0.005 0.046 1.375 0.840 0.107 0.174 4.977




















Problem 27 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 20 20 18 19 18 14 14 15 14
normalized size 1 1.00 0.90 0.95 0.90 0.70 0.70 0.75 0.70
time (sec) N/A 0.015 0.003 0.041 1.322 0.878 0.084 0.151 0.036




















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 6 6 22 17 16 16 14 18 6
normalized size 1 1.00 3.67 2.83 2.67 2.67 2.33 3.00 1.00
time (sec) N/A 0.008 0.003 0.049 1.294 0.917 0.108 0.166 0.058




















Problem 29 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 12 12 12 14 13 8 8 15 8
normalized size 1 1.00 1.00 1.17 1.08 0.67 0.67 1.25 0.67
time (sec) N/A 0.006 0.002 0.046 1.295 0.984 0.099 0.148 0.029




















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 2 2 19 3 13 13 12 15 2
normalized size 1 1.00 9.50 1.50 6.50 6.50 6.00 7.50 1.00
time (sec) N/A 0.004 0.002 0.039 1.279 0.934 0.116 0.168 0.033




















Problem 31 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 15 15 15 16 15 11 10 16 11
normalized size 1 1.00 1.00 1.07 1.00 0.73 0.67 1.07 0.73
time (sec) N/A 0.008 0.003 0.057 1.317 0.941 0.106 0.156 4.960




















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 24 19 18 20 15 20 8
normalized size 1 1.00 3.00 2.38 2.25 2.50 1.88 2.50 1.00
time (sec) N/A 0.008 0.003 0.051 1.327 0.915 0.125 0.153 0.033




















Problem 33 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 22 22 22 21 20 24 17 26 16
normalized size 1 1.00 1.00 0.95 0.91 1.09 0.77 1.18 0.73
time (sec) N/A 0.015 0.004 0.049 1.292 0.679 0.113 0.151 0.033




















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 31 24 25 30 24 27 13
normalized size 1 1.00 2.07 1.60 1.67 2.00 1.60 1.80 0.87
time (sec) N/A 0.010 0.004 0.057 1.263 0.592 0.137 0.148 4.924




















Problem 35 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 26 27 30 22 33 23
normalized size 1 1.00 1.00 0.90 0.93 1.03 0.76 1.14 0.79
time (sec) N/A 0.016 0.004 0.046 1.346 0.556 0.131 0.160 0.033




















Problem 36 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 15 15 15 14 13 13 12 18 14
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.80 1.20 0.93
time (sec) N/A 0.009 0.004 0.045 1.289 0.549 0.150 0.149 4.950




















Problem 37 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 18 18 18 16 15 15 12 18 16
normalized size 1 1.00 1.00 0.89 0.83 0.83 0.67 1.00 0.89
time (sec) N/A 0.010 0.004 0.047 1.262 0.590 0.143 0.148 0.052




















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 95 168 0 0 0 0 -1
normalized size 1 1.00 0.58 1.03 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.188 0.059 0.096 0.000 0.753 0.000 0.000 0.000




















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 281 281 80 197 0 0 0 0 -1
normalized size 1 1.00 0.28 0.70 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.264 0.056 0.063 0.000 0.659 0.000 0.000 0.000




















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 79 146 0 0 0 0 -1
normalized size 1 1.00 0.58 1.07 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.122 0.033 0.067 0.000 0.549 0.000 0.000 0.000




















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 255 255 51 175 0 0 0 0 40
normalized size 1 1.00 0.20 0.69 0.00 0.00 0.00 0.00 0.16
time (sec) N/A 0.173 0.012 0.068 0.000 0.613 0.000 0.000 5.051




















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 48 124 0 0 0 0 -1
normalized size 1 1.00 0.42 1.10 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.086 0.010 0.066 0.000 0.574 0.000 0.000 0.000




















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 248 248 51 177 0 0 0 0 -1
normalized size 1 1.00 0.21 0.71 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.201 0.013 0.083 0.000 0.540 0.000 0.000 0.000




















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 53 123 0 0 0 0 -1
normalized size 1 1.00 0.46 1.06 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.088 0.014 0.041 0.000 0.710 0.000 0.000 0.000




















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 283 283 53 201 0 0 0 0 -1
normalized size 1 1.00 0.19 0.71 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.251 0.015 0.044 0.000 0.731 0.000 0.000 0.000




















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 186 186 94 188 0 0 0 0 -1
normalized size 1 1.00 0.51 1.01 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.230 0.089 0.073 0.000 0.590 0.000 0.000 0.000




















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 304 304 84 217 0 0 0 0 -1
normalized size 1 1.00 0.28 0.71 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.300 0.046 0.075 0.000 0.616 0.000 0.000 0.000




















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 83 166 0 0 0 0 40
normalized size 1 1.00 0.53 1.05 0.00 0.00 0.00 0.00 0.25
time (sec) N/A 0.134 0.035 0.073 0.000 0.784 0.000 0.000 5.005




















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 52 195 0 0 0 0 -1
normalized size 1 1.00 0.19 0.71 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.225 0.016 0.068 0.000 0.821 0.000 0.000 0.000




















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 49 144 0 0 0 0 -1
normalized size 1 1.00 0.37 1.07 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.132 0.016 0.077 0.000 0.584 0.000 0.000 0.000




















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 274 274 52 194 0 0 0 0 -1
normalized size 1 1.00 0.19 0.71 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.233 0.016 0.069 0.000 0.686 0.000 0.000 0.000




















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 54 139 0 0 0 0 -1
normalized size 1 1.00 0.40 1.04 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.131 0.017 0.073 0.000 0.939 0.000 0.000 0.000




















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 277 277 54 196 0 0 0 0 -1
normalized size 1 1.00 0.19 0.71 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.261 0.015 0.077 0.000 0.615 0.000 0.000 0.000




















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 54 142 0 0 0 0 -1
normalized size 1 1.00 0.39 1.04 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.134 0.020 0.081 0.000 0.501 0.000 0.000 0.000




















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 306 306 54 223 0 0 0 0 -1
normalized size 1 1.00 0.18 0.73 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.312 0.017 0.081 0.000 0.675 0.000 0.000 0.000




















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 54 169 0 0 0 0 -1
normalized size 1 1.00 0.33 1.04 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.178 0.016 0.083 0.000 0.762 0.000 0.000 0.000




















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 140 140 80 149 0 0 0 0 -1
normalized size 1 1.00 0.57 1.06 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.137 0.034 0.067 0.000 0.623 0.000 0.000 0.000




















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 258 258 66 178 0 0 0 0 -1
normalized size 1 1.00 0.26 0.69 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.205 0.034 0.072 0.000 0.483 0.000 0.000 0.000




















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 64 127 0 0 0 0 -1
normalized size 1 1.00 0.55 1.09 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.091 0.042 0.063 0.000 0.609 0.000 0.000 0.000




















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 229 229 53 158 0 0 0 0 -1
normalized size 1 1.00 0.23 0.69 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.150 0.021 0.067 0.000 0.713 0.000 0.000 0.000




















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 92 92 49 108 0 0 0 0 40
normalized size 1 1.00 0.53 1.17 0.00 0.00 0.00 0.00 0.43
time (sec) N/A 0.049 0.017 0.066 0.000 0.595 0.000 0.000 5.035




















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 253 253 48 182 0 0 0 0 -1
normalized size 1 1.00 0.19 0.72 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.200 0.013 0.072 0.000 0.540 0.000 0.000 0.000




















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 119 119 53 129 0 0 0 0 -1
normalized size 1 1.00 0.45 1.08 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.089 0.025 0.071 0.000 0.466 0.000 0.000 0.000




















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 286 286 53 204 0 0 0 0 -1
normalized size 1 1.00 0.19 0.71 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.254 0.015 0.072 0.000 0.599 0.000 0.000 0.000




















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 80 172 0 0 0 0 -1
normalized size 1 1.00 0.50 1.07 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.193 0.039 0.095 0.000 0.582 0.000 0.000 0.000




















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 279 279 68 200 0 0 0 0 -1
normalized size 1 1.00 0.24 0.72 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.269 0.029 0.073 0.000 0.496 0.000 0.000 0.000




















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 67 147 0 0 0 0 -1
normalized size 1 1.00 0.49 1.07 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.148 0.034 0.073 0.000 0.591 0.000 0.000 0.000




















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 253 253 57 182 0 0 0 0 -1
normalized size 1 1.00 0.23 0.72 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.213 0.025 0.073 0.000 0.557 0.000 0.000 0.000




















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 54 130 0 0 0 0 -1
normalized size 1 1.00 0.47 1.13 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.100 0.029 0.071 0.000 0.579 0.000 0.000 0.000




















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 254 254 56 184 0 0 0 0 -1
normalized size 1 1.00 0.22 0.72 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.209 0.016 0.074 0.000 0.699 0.000 0.000 0.000




















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 54 132 0 0 0 0 -1
normalized size 1 1.00 0.47 1.16 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.084 0.032 0.068 0.000 0.617 0.000 0.000 0.000




















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 273 273 51 206 0 0 0 0 40
normalized size 1 1.00 0.19 0.75 0.00 0.00 0.00 0.00 0.15
time (sec) N/A 0.224 0.026 0.074 0.000 0.650 0.000 0.000 5.168




















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 56 150 0 0 0 0 -1
normalized size 1 1.00 0.40 1.08 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.142 0.018 0.074 0.000 0.842 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 Yes TBD TBD TBD TBD TBD TBD
size 306 306 56 228 0 0 0 0 -1
normalized size 1 1.00 0.18 0.75 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.323 0.017 0.080 0.000 0.763 0.000 0.000 0.000




















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 130 212 0 376 0 100 -1
normalized size 1 1.00 0.82 1.33 0.00 2.36 0.00 0.63 -0.01
time (sec) N/A 0.248 0.213 0.092 0.000 0.698 0.000 0.325 0.000




















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 77 70 0 108 0 80 -1
normalized size 1 1.00 0.61 0.56 0.00 0.86 0.00 0.63 -0.01
time (sec) N/A 0.200 0.042 0.044 0.000 0.653 0.000 0.214 0.000




















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 120 198 0 348 0 86 -1
normalized size 1 1.00 0.92 1.52 0.00 2.68 0.00 0.66 -0.01
time (sec) N/A 0.206 0.286 0.078 0.000 0.816 0.000 0.305 0.000




















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 66 59 0 97 0 64 -1
normalized size 1 1.00 0.65 0.58 0.00 0.96 0.00 0.63 -0.01
time (sec) N/A 0.161 0.034 0.046 0.000 0.599 0.000 0.205 0.000




















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 27 0 61 0 17 -1
normalized size 1 1.00 1.00 1.08 0.00 2.44 0.00 0.68 -0.04
time (sec) N/A 0.037 0.019 0.048 0.000 0.488 0.000 0.293 0.000




















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 55 48 0 86 0 50 -1
normalized size 1 1.00 0.72 0.63 0.00 1.13 0.00 0.66 -0.01
time (sec) N/A 0.119 0.028 0.047 0.000 0.702 0.000 0.200 0.000




















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 44 37 0 76 0 29 -1
normalized size 1 1.00 0.86 0.73 0.00 1.49 0.00 0.57 -0.02
time (sec) N/A 0.075 0.024 0.063 0.000 0.668 0.000 0.291 0.000




















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 44 37 0 75 0 33 -1
normalized size 1 1.00 0.86 0.73 0.00 1.47 0.00 0.65 -0.02
time (sec) N/A 0.074 0.023 0.058 0.000 0.613 0.000 0.303 0.000




















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 55 48 0 87 0 43 -1
normalized size 1 1.00 0.72 0.63 0.00 1.14 0.00 0.57 -0.01
time (sec) N/A 0.113 0.023 0.048 0.000 0.650 0.000 0.284 0.000




















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 27 0 63 0 23 -1
normalized size 1 1.00 1.00 1.08 0.00 2.52 0.00 0.92 -0.04
time (sec) N/A 0.037 0.016 0.042 0.000 0.426 0.000 0.197 0.000




















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 66 59 0 95 0 55 -1
normalized size 1 1.00 0.65 0.58 0.00 0.94 0.00 0.54 -0.01
time (sec) N/A 0.157 0.025 0.043 0.000 0.527 0.000 0.248 0.000




















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 43 217 0 360 0 114 -1
normalized size 1 1.00 0.33 1.67 0.00 2.77 0.00 0.88 -0.01
time (sec) N/A 0.203 0.014 0.054 0.000 0.500 0.000 0.267 0.000




















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 77 70 0 110 0 90 -1
normalized size 1 1.00 0.61 0.56 0.00 0.87 0.00 0.71 -0.01
time (sec) N/A 0.192 0.041 0.049 0.000 0.904 0.000 0.269 0.000




















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 44 234 0 396 0 104 -1
normalized size 1 1.00 0.28 1.47 0.00 2.49 0.00 0.65 -0.01
time (sec) N/A 0.241 0.023 0.057 0.000 0.596 0.000 0.250 0.000




















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 152 152 88 81 0 121 0 147 -1
normalized size 1 1.00 0.58 0.53 0.00 0.80 0.00 0.97 -0.01
time (sec) N/A 0.233 0.045 0.045 0.000 0.901 0.000 0.324 0.000




















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 189 189 46 247 0 422 0 138 -1
normalized size 1 1.00 0.24 1.31 0.00 2.23 0.00 0.73 -0.01
time (sec) N/A 0.293 0.027 0.061 0.000 0.688 0.000 0.267 0.000




















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 99 92 0 132 0 202 -1
normalized size 1 1.00 0.55 0.51 0.00 0.73 0.00 1.12 -0.01
time (sec) N/A 0.285 0.043 0.046 0.000 1.108 0.000 0.412 0.000




















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 81 997 0 133 0 45 -1
normalized size 1 1.00 1.47 18.13 0.00 2.42 0.00 0.82 -0.02
time (sec) N/A 0.070 0.050 0.089 0.000 0.958 0.000 0.298 0.000




















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 61 979 0 94 0 23 -1
normalized size 1 1.00 1.91 30.59 0.00 2.94 0.00 0.72 -0.03
time (sec) N/A 0.032 0.032 0.087 0.000 0.886 0.000 0.210 0.000




















Problem 94 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 23 23 23 27 26 19 0 14 19
normalized size 1 1.00 1.00 1.17 1.13 0.83 0.00 0.61 0.83
time (sec) N/A 0.034 0.029 0.041 1.461 0.796 0.000 0.222 5.134




















Problem 95 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 48 48 31 35 38 29 0 30 27
normalized size 1 1.00 0.65 0.73 0.79 0.60 0.00 0.62 0.56
time (sec) N/A 0.066 0.028 0.040 1.512 1.018 0.000 0.192 5.129




















Problem 96 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 74 74 44 48 50 40 0 47 40
normalized size 1 1.00 0.59 0.65 0.68 0.54 0.00 0.64 0.54
time (sec) N/A 0.102 0.028 0.046 1.494 0.757 0.000 0.199 5.266




















Problem 97 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 224 224 64 688 0 0 0 0 -1
normalized size 1 1.00 0.29 3.07 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.213 0.036 0.096 0.000 0.772 0.000 0.000 0.000




















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 49 671 0 0 0 0 40
normalized size 1 1.00 0.25 3.41 0.00 0.00 0.00 0.00 0.20
time (sec) N/A 0.130 0.011 0.086 0.000 0.648 0.000 0.000 5.157




















Problem 99 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 225 225 53 696 0 0 0 0 -1
normalized size 1 1.00 0.24 3.09 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.187 0.014 0.093 0.000 0.914 0.000 0.000 0.000




















Problem 100 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 503 503 66 1079 0 0 0 0 -1
normalized size 1 1.00 0.13 2.15 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.514 0.030 0.087 0.000 0.865 0.000 0.000 0.000




















Problem 101 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 474 474 53 1054 0 0 0 0 -1
normalized size 1 1.00 0.11 2.22 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.390 0.013 0.095 0.000 0.748 0.000 0.000 0.000




















Problem 102 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 497 497 48 1083 0 0 0 0 -1
normalized size 1 1.00 0.10 2.18 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.472 0.013 0.094 0.000 0.646 0.000 0.000 0.000




















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 151 223 0 0 0 111 -1
normalized size 1 1.00 0.87 1.28 0.00 0.00 0.00 0.64 -0.01
time (sec) N/A 0.151 0.187 0.093 0.000 0.000 0.000 0.288 0.000




















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 129 181 0 0 0 83 -1
normalized size 1 1.00 1.11 1.56 0.00 0.00 0.00 0.72 -0.01
time (sec) N/A 0.087 0.116 0.051 0.000 0.000 0.000 0.312 0.000




















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 88 83 0 0 0 54 72
normalized size 1 1.00 1.57 1.48 0.00 0.00 0.00 0.96 1.29
time (sec) N/A 0.060 0.053 0.049 0.000 0.000 0.000 0.285 5.243




















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 159 0 19 0 25 -1
normalized size 1 1.00 1.00 6.36 0.00 0.76 0.00 1.00 -0.04
time (sec) N/A 0.038 0.009 0.055 0.000 0.872 0.000 0.177 0.000




















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 48 218 0 42 0 84 -1
normalized size 1 1.00 0.57 2.60 0.00 0.50 0.00 1.00 -0.01
time (sec) N/A 0.117 0.052 0.066 0.000 1.027 0.000 0.234 0.000




















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 72 262 0 64 0 146 -1
normalized size 1 1.00 0.51 1.85 0.00 0.45 0.00 1.03 -0.01
time (sec) N/A 0.203 0.054 0.065 0.000 0.880 0.000 0.191 0.000




















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 96 306 0 86 0 208 -1
normalized size 1 1.00 0.48 1.53 0.00 0.43 0.00 1.04 -0.00
time (sec) N/A 0.297 0.062 0.068 0.000 0.661 0.000 0.198 0.000




















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 64 549 0 0 0 0 -1
normalized size 1 1.00 0.32 2.79 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.175 0.065 0.062 0.000 0.000 0.000 0.000 0.000




















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 139 64 503 0 0 0 0 -1
normalized size 1 1.00 0.46 3.62 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.127 0.075 0.064 0.000 0.000 0.000 0.000 0.000




















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 64 236 0 0 0 94 -1
normalized size 1 1.00 0.83 3.06 0.00 0.00 0.00 1.22 -0.01
time (sec) N/A 0.074 0.043 0.048 0.000 0.000 0.000 0.321 0.000




















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 404 0 36 0 34 40
normalized size 1 1.00 1.00 16.16 0.00 1.44 0.00 1.36 1.60
time (sec) N/A 0.005 0.019 0.059 0.000 0.884 0.000 0.190 5.426




















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 48 524 0 63 0 0 -1
normalized size 1 1.00 0.61 6.63 0.00 0.80 0.00 0.00 -0.01
time (sec) N/A 0.122 0.082 0.066 0.000 0.867 0.000 0.000 0.000




















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 72 570 0 87 0 0 -1
normalized size 1 1.00 0.53 4.16 0.00 0.64 0.00 0.00 -0.01
time (sec) N/A 0.202 0.078 0.064 0.000 0.754 0.000 0.000 0.000




















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 96 614 0 109 0 0 -1
normalized size 1 1.00 0.49 3.15 0.00 0.56 0.00 0.00 -0.01
time (sec) N/A 0.300 0.085 0.067 0.000 1.055 0.000 0.000 0.000




















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 204 204 164 245 0 0 0 125 -1
normalized size 1 1.00 0.80 1.20 0.00 0.00 0.00 0.61 -0.00
time (sec) N/A 0.172 0.264 0.055 0.000 0.000 0.000 0.283 0.000




















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 142 203 0 0 0 97 -1
normalized size 1 1.00 0.97 1.39 0.00 0.00 0.00 0.66 -0.01
time (sec) N/A 0.120 0.209 0.054 0.000 0.000 0.000 0.406 0.000




















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 102 160 0 0 0 69 -1
normalized size 1 1.00 1.17 1.84 0.00 0.00 0.00 0.79 -0.01
time (sec) N/A 0.079 0.117 0.051 0.000 0.000 0.000 0.269 0.000




















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 65 136 0 0 0 37 -1
normalized size 1 1.00 1.91 4.00 0.00 0.00 0.00 1.09 -0.03
time (sec) N/A 0.049 0.074 0.050 0.000 0.000 0.000 0.263 0.000




















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 37 194 0 29 0 53 -1
normalized size 1 1.00 0.69 3.59 0.00 0.54 0.00 0.98 -0.02
time (sec) N/A 0.074 0.061 0.063 0.000 1.374 0.000 0.189 0.000




















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 59 240 0 50 0 115 -1
normalized size 1 1.00 0.53 2.14 0.00 0.45 0.00 1.03 -0.01
time (sec) N/A 0.154 0.069 0.060 0.000 1.248 0.000 0.211 0.000




















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 170 170 83 284 0 72 0 177 -1
normalized size 1 1.00 0.49 1.67 0.00 0.42 0.00 1.04 -0.01
time (sec) N/A 0.245 0.086 0.065 0.000 1.413 0.000 0.236 0.000




















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 62 527 0 0 0 0 -1
normalized size 1 1.00 0.36 3.08 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.147 0.083 0.064 0.000 0.000 0.000 0.000 0.000




















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 62 440 0 0 0 0 -1
normalized size 1 1.00 0.55 3.89 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.103 0.068 0.060 0.000 0.000 0.000 0.000 0.000




















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F(-1) F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 79 240 0 0 0 0 -1
normalized size 1 1.00 1.32 4.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.067 0.113 0.049 0.000 0.000 0.000 0.000 0.000




















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F B F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 45 111 0 54 0 26 -1
normalized size 1 1.00 1.50 3.70 0.00 1.80 0.00 0.87 -0.03
time (sec) N/A 0.047 0.042 0.059 0.000 1.199 0.000 0.183 0.000




















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 57 548 0 79 0 0 -1
normalized size 1 1.00 0.53 5.12 0.00 0.74 0.00 0.00 -0.01
time (sec) N/A 0.156 0.051 0.063 0.000 1.355 0.000 0.000 0.000




















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 83 592 0 101 0 0 -1
normalized size 1 1.00 0.50 3.59 0.00 0.61 0.00 0.00 -0.01
time (sec) N/A 0.257 0.069 0.067 0.000 1.565 0.000 0.000 0.000




















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 223 223 107 636 0 123 0 0 -1
normalized size 1 1.00 0.48 2.85 0.00 0.55 0.00 0.00 -0.00
time (sec) N/A 0.353 0.066 0.094 0.000 1.419 0.000 0.000 0.000




















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 301 301 155 264 0 0 0 0 -1
normalized size 1 1.00 0.51 0.88 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.509 0.178 0.115 0.000 2.156 0.000 0.000 0.000




















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 411 411 136 273 0 0 0 0 -1
normalized size 1 1.00 0.33 0.66 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.578 0.129 0.073 0.000 7.402 0.000 0.000 0.000




















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 213 213 118 198 0 0 0 0 -1
normalized size 1 1.00 0.55 0.93 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.299 0.104 0.076 0.000 1.758 0.000 0.000 0.000




















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 323 323 94 207 0 0 0 0 40
normalized size 1 1.00 0.29 0.64 0.00 0.00 0.00 0.00 0.12
time (sec) N/A 0.326 0.059 0.071 0.000 8.097 0.000 0.000 5.180




















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 54 132 0 0 0 0 -1
normalized size 1 1.00 0.44 1.07 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.146 0.048 0.065 0.000 1.583 0.000 0.000 0.000




















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 325 325 59 213 0 0 0 0 -1
normalized size 1 1.00 0.18 0.66 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.353 0.072 0.096 0.000 7.388 0.000 0.000 0.000




















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 188 188 59 179 0 0 0 0 -1
normalized size 1 1.00 0.31 0.95 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.244 0.052 0.077 0.000 1.573 0.000 0.000 0.000




















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 413 413 59 281 0 0 0 0 -1
normalized size 1 1.00 0.14 0.68 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.544 0.051 0.082 0.000 8.289 0.000 0.000 0.000




















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 276 276 59 245 0 0 0 0 -1
normalized size 1 1.00 0.21 0.89 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.413 0.060 0.085 0.000 1.296 0.000 0.000 0.000




















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 298 298 142 196 0 0 0 0 -1
normalized size 1 1.00 0.48 0.66 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.501 0.154 0.144 0.000 1.515 0.000 0.000 0.000




















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 408 408 123 261 0 0 0 0 -1
normalized size 1 1.00 0.30 0.64 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.554 0.109 0.079 0.000 7.472 0.000 0.000 0.000




















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 208 208 106 164 0 0 0 0 40
normalized size 1 1.00 0.51 0.79 0.00 0.00 0.00 0.00 0.19
time (sec) N/A 0.271 0.101 0.107 0.000 1.539 0.000 0.000 5.193




















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 319 319 60 228 0 0 0 0 -1
normalized size 1 1.00 0.19 0.71 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.329 0.048 0.085 0.000 8.472 0.000 0.000 0.000




















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 60 130 0 0 0 0 -1
normalized size 1 1.00 0.42 0.90 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.202 0.060 0.074 0.000 1.313 0.000 0.000 0.000




















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 350 350 62 339 0 0 0 0 -1
normalized size 1 1.00 0.18 0.97 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.431 0.060 0.081 0.000 7.825 0.000 0.000 0.000




















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 213 213 62 168 0 0 0 0 -1
normalized size 1 1.00 0.29 0.79 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.309 0.066 0.086 0.000 1.157 0.000 0.000 0.000




















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 438 438 62 411 0 0 0 0 -1
normalized size 1 1.00 0.14 0.94 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.640 0.058 0.088 0.000 8.550 0.000 0.000 0.000




















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 301 301 62 201 0 0 0 0 -1
normalized size 1 1.00 0.21 0.67 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.479 0.069 0.089 0.000 1.631 0.000 0.000 0.000




















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 304 304 161 196 0 0 0 0 -1
normalized size 1 1.00 0.53 0.64 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.506 0.101 0.105 0.000 1.572 0.000 0.000 0.000




















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 414 414 143 263 0 0 0 0 -1
normalized size 1 1.00 0.35 0.64 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.566 0.077 0.087 0.000 12.048 0.000 0.000 0.000




















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 216 216 124 163 0 0 0 0 -1
normalized size 1 1.00 0.57 0.75 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.319 0.072 0.054 0.000 3.071 0.000 0.000 0.000




















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 326 326 106 228 0 0 0 0 -1
normalized size 1 1.00 0.33 0.70 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.349 0.089 0.057 0.000 7.889 0.000 0.000 0.000




















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 80 127 0 0 0 0 40
normalized size 1 1.00 0.63 1.01 0.00 0.00 0.00 0.00 0.32
time (sec) N/A 0.118 0.039 0.050 0.000 1.440 0.000 0.000 5.268




















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 294 294 54 253 0 0 0 0 -1
normalized size 1 1.00 0.18 0.86 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.294 0.071 0.077 0.000 6.561 0.000 0.000 0.000




















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 163 163 59 142 0 0 0 0 -1
normalized size 1 1.00 0.36 0.87 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.201 0.062 0.092 0.000 1.476 0.000 0.000 0.000




















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 388 388 59 365 0 0 0 0 -1
normalized size 1 1.00 0.15 0.94 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.476 0.057 0.087 0.000 7.389 0.000 0.000 0.000




















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 251 251 59 179 0 0 0 0 -1
normalized size 1 1.00 0.24 0.71 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.345 0.091 0.101 0.000 1.698 0.000 0.000 0.000




















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 437 437 131 384 0 0 0 0 -1
normalized size 1 1.00 0.30 0.88 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.674 0.109 0.115 0.000 8.994 0.000 0.000 0.000




















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 239 239 124 260 0 0 0 0 -1
normalized size 1 1.00 0.52 1.09 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.377 0.132 0.088 0.000 1.659 0.000 0.000 0.000




















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 349 349 94 312 0 0 0 0 -1
normalized size 1 1.00 0.27 0.89 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.426 0.093 0.067 0.000 8.226 0.000 0.000 0.000




















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 149 149 82 184 0 0 0 0 -1
normalized size 1 1.00 0.55 1.23 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.209 0.089 0.063 0.000 1.620 0.000 0.000 0.000




















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 296 296 62 242 0 0 0 0 40
normalized size 1 1.00 0.21 0.82 0.00 0.00 0.00 0.00 0.14
time (sec) N/A 0.260 0.044 0.059 0.000 7.068 0.000 0.000 5.351




















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 62 181 0 0 0 0 -1
normalized size 1 1.00 0.39 1.15 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.205 0.070 0.069 0.000 1.695 0.000 0.000 0.000




















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 383 383 64 339 0 0 0 0 -1
normalized size 1 1.00 0.17 0.89 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.479 0.078 0.066 0.000 7.168 0.000 0.000 0.000




















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 246 246 64 261 0 0 0 0 -1
normalized size 1 1.00 0.26 1.06 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.365 0.072 0.079 0.000 1.888 0.000 0.000 0.000




















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 471 471 64 411 0 0 0 0 -1
normalized size 1 1.00 0.14 0.87 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.694 0.083 0.067 0.000 7.592 0.000 0.000 0.000




















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 371 371 181 156 0 0 0 396 -1
normalized size 1 1.00 0.49 0.42 0.00 0.00 0.00 1.07 -0.00
time (sec) N/A 0.627 0.184 0.070 0.000 0.000 0.000 0.223 0.000




















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 283 283 144 123 0 0 0 312 -1
normalized size 1 1.00 0.51 0.43 0.00 0.00 0.00 1.10 -0.00
time (sec) N/A 0.441 0.130 0.048 0.000 0.000 0.000 0.216 0.000




















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 195 195 107 90 0 0 0 228 -1
normalized size 1 1.00 0.55 0.46 0.00 0.00 0.00 1.17 -0.01
time (sec) N/A 0.273 0.090 0.049 0.000 0.000 0.000 0.194 0.000




















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 70 57 0 0 0 143 40
normalized size 1 1.00 0.64 0.52 0.00 0.00 0.00 1.31 0.37
time (sec) N/A 0.137 0.047 0.045 0.000 0.000 0.000 0.184 5.192




















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 27 0 0 0 23 -1
normalized size 1 1.00 1.00 1.17 0.00 0.00 0.00 1.00 -0.04
time (sec) N/A 0.040 0.012 0.039 0.000 0.000 0.000 0.208 0.000




















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 57 80 0 0 0 72 -1
normalized size 1 1.00 0.63 0.89 0.00 0.00 0.00 0.80 -0.01
time (sec) N/A 0.139 0.055 0.049 0.000 0.000 0.000 0.280 0.000




















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 178 178 57 125 0 0 0 126 -1
normalized size 1 1.00 0.32 0.70 0.00 0.00 0.00 0.71 -0.01
time (sec) N/A 0.296 0.075 0.061 0.000 0.000 0.000 0.278 0.000




















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 266 266 57 167 0 0 0 177 -1
normalized size 1 1.00 0.21 0.63 0.00 0.00 0.00 0.67 -0.00
time (sec) N/A 0.475 0.050 0.059 0.000 0.000 0.000 0.352 0.000




















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 354 354 57 209 0 0 0 228 -1
normalized size 1 1.00 0.16 0.59 0.00 0.00 0.00 0.64 -0.00
time (sec) N/A 0.660 0.052 0.061 0.000 0.000 0.000 0.432 0.000




















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 343 343 172 145 0 0 0 770 -1
normalized size 1 1.00 0.50 0.42 0.00 0.00 0.00 2.24 -0.00
time (sec) N/A 0.616 0.161 0.048 0.000 0.000 0.000 0.308 0.000




















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 255 255 135 112 0 0 0 602 -1
normalized size 1 1.00 0.53 0.44 0.00 0.00 0.00 2.36 -0.00
time (sec) N/A 0.422 0.112 0.051 0.000 0.000 0.000 0.303 0.000




















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 169 169 98 79 0 0 0 434 40
normalized size 1 1.00 0.58 0.47 0.00 0.00 0.00 2.57 0.24
time (sec) N/A 0.249 0.070 0.049 0.000 0.000 0.000 0.230 5.141




















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 63 48 0 0 0 265 -1
normalized size 1 1.00 0.75 0.57 0.00 0.00 0.00 3.15 -0.01
time (sec) N/A 0.139 0.080 0.051 0.000 0.000 0.000 0.211 0.000




















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 88 69 0 0 0 83 -1
normalized size 1 1.00 1.13 0.88 0.00 0.00 0.00 1.06 -0.01
time (sec) N/A 0.137 0.104 0.051 0.000 0.000 0.000 0.231 0.000




















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 61 93 0 0 0 92 -1
normalized size 1 1.00 0.54 0.82 0.00 0.00 0.00 0.81 -0.01
time (sec) N/A 0.184 0.074 0.061 0.000 0.000 0.000 0.261 0.000




















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 203 203 61 139 0 0 0 143 -1
normalized size 1 1.00 0.30 0.68 0.00 0.00 0.00 0.70 -0.00
time (sec) N/A 0.340 0.054 0.062 0.000 0.000 0.000 0.368 0.000




















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 291 291 61 181 0 0 0 194 -1
normalized size 1 1.00 0.21 0.62 0.00 0.00 0.00 0.67 -0.00
time (sec) N/A 0.522 0.060 0.059 0.000 0.000 0.000 0.383 0.000




















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 379 379 61 223 0 0 0 245 -1
normalized size 1 1.00 0.16 0.59 0.00 0.00 0.00 0.65 -0.00
time (sec) N/A 0.718 0.096 0.069 0.000 0.000 0.000 0.472 0.000




















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 401 401 185 167 0 0 0 206 -1
normalized size 1 1.00 0.46 0.42 0.00 0.00 0.00 0.51 -0.00
time (sec) N/A 0.728 0.229 0.051 0.000 0.000 0.000 0.299 0.000




















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 313 313 148 134 0 0 0 164 -1
normalized size 1 1.00 0.47 0.43 0.00 0.00 0.00 0.52 -0.00
time (sec) N/A 0.531 0.141 0.044 0.000 0.000 0.000 0.188 0.000




















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 111 101 0 0 0 122 -1
normalized size 1 1.00 0.49 0.45 0.00 0.00 0.00 0.54 -0.00
time (sec) N/A 0.346 0.128 0.046 0.000 0.000 0.000 0.269 0.000




















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 74 68 0 0 0 80 -1
normalized size 1 1.00 0.54 0.50 0.00 0.00 0.00 0.58 -0.01
time (sec) N/A 0.180 0.084 0.049 0.000 0.000 0.000 0.176 0.000




















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 36 36 0 0 0 36 40
normalized size 1 1.00 0.77 0.77 0.00 0.00 0.00 0.77 0.85
time (sec) N/A 0.050 0.038 0.044 0.000 0.000 0.000 0.488 5.219




















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 90 61 0 0 0 51 -1
normalized size 1 1.00 1.48 1.00 0.00 0.00 0.00 0.84 -0.02
time (sec) N/A 0.093 0.130 0.050 0.000 0.000 0.000 0.217 0.000




















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 153 153 48 126 0 0 0 109 -1
normalized size 1 1.00 0.31 0.82 0.00 0.00 0.00 0.71 -0.01
time (sec) N/A 0.239 0.063 0.048 0.000 0.000 0.000 0.260 0.000




















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 241 241 48 188 0 0 0 160 -1
normalized size 1 1.00 0.20 0.78 0.00 0.00 0.00 0.66 -0.00
time (sec) N/A 0.408 0.079 0.050 0.000 0.000 0.000 0.310 0.000




















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 329 329 48 248 0 0 0 211 -1
normalized size 1 1.00 0.15 0.75 0.00 0.00 0.00 0.64 -0.00
time (sec) N/A 0.577 0.071 0.053 0.000 0.000 0.000 0.359 0.000




















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 336 336 161 143 0 0 0 214 -1
normalized size 1 1.00 0.48 0.43 0.00 0.00 0.00 0.64 -0.00
time (sec) N/A 0.599 0.192 0.050 0.000 0.000 0.000 0.245 0.000




















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 248 248 122 110 0 0 0 163 -1
normalized size 1 1.00 0.49 0.44 0.00 0.00 0.00 0.66 -0.00
time (sec) N/A 0.414 0.127 0.052 0.000 0.000 0.000 0.215 0.000




















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 160 160 85 77 0 0 0 112 -1
normalized size 1 1.00 0.53 0.48 0.00 0.00 0.00 0.70 -0.01
time (sec) N/A 0.242 0.100 0.052 0.000 0.000 0.000 0.228 0.000




















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 60 45 0 0 0 60 -1
normalized size 1 1.00 0.88 0.66 0.00 0.00 0.00 0.88 -0.01
time (sec) N/A 0.084 0.063 0.047 0.000 0.000 0.000 0.219 0.000




















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 45 56 0 0 0 71 40
normalized size 1 1.00 0.75 0.93 0.00 0.00 0.00 1.18 0.67
time (sec) N/A 0.056 0.042 0.051 0.000 0.000 0.000 0.212 5.358




















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 48 88 0 0 0 105 -1
normalized size 1 1.00 0.33 0.60 0.00 0.00 0.00 0.72 -0.01
time (sec) N/A 0.241 0.088 0.057 0.000 0.000 0.000 0.259 0.000




















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 236 236 48 126 0 0 0 156 -1
normalized size 1 1.00 0.20 0.53 0.00 0.00 0.00 0.66 -0.00
time (sec) N/A 0.410 0.076 0.064 0.000 0.000 0.000 0.391 0.000




















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 324 324 48 159 0 0 0 207 -1
normalized size 1 1.00 0.15 0.49 0.00 0.00 0.00 0.64 -0.00
time (sec) N/A 0.597 0.075 0.069 0.000 0.000 0.000 0.376 0.000




















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F(-1) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 412 412 48 192 0 0 0 258 -1
normalized size 1 1.00 0.12 0.47 0.00 0.00 0.00 0.63 -0.00
time (sec) N/A 0.840 0.089 0.079 0.000 0.000 0.000 0.452 0.000




















Problem 203 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 17 17 17 14 13 13 12 13 13
normalized size 1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.76
time (sec) N/A 0.009 0.001 0.037 1.334 0.502 0.061 0.187 0.022




















Problem 204 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 17 17 17 14 13 13 12 13 13
normalized size 1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.76
time (sec) N/A 0.008 0.001 0.040 1.337 0.423 0.061 0.150 0.022




















Problem 205 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 17 17 17 14 13 13 12 13 13
normalized size 1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.76
time (sec) N/A 0.003 0.000 0.045 1.337 0.582 0.067 0.161 0.022




















Problem 206 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 17 17 17 14 13 13 12 13 13
normalized size 1 1.00 1.00 0.82 0.76 0.76 0.71 0.76 0.76
time (sec) N/A 0.006 0.001 0.055 1.363 0.514 0.062 0.147 0.020




















Problem 207 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 12 12 12 11 10 10 8 10 10
normalized size 1 1.00 1.00 0.92 0.83 0.83 0.67 0.83 0.83
time (sec) N/A 0.004 0.001 0.046 1.344 0.519 0.062 0.146 0.017




















Problem 208 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 25 24 24 24 24 24
normalized size 1 1.00 1.00 0.83 0.80 0.80 0.80 0.80 0.80
time (sec) N/A 0.031 0.002 0.045 1.354 0.448 0.070 0.150 0.040




















Problem 209 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 25 24 24 26 24 24
normalized size 1 1.00 1.00 0.83 0.80 0.80 0.87 0.80 0.80
time (sec) N/A 0.017 0.002 0.056 1.205 0.515 0.070 0.148 0.033




















Problem 210 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 25 24 24 24 24 24
normalized size 1 1.00 1.00 0.83 0.80 0.80 0.80 0.80 0.80
time (sec) N/A 0.013 0.002 0.043 1.332 0.473 0.070 0.160 0.031




















Problem 211 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 25 24 24 26 24 24
normalized size 1 1.00 1.00 0.83 0.80 0.80 0.87 0.80 0.80
time (sec) N/A 0.017 0.002 0.038 1.270 0.559 0.072 0.166 0.034




















Problem 212 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 25 24 24 24 24 24
normalized size 1 1.00 1.00 0.83 0.80 0.80 0.80 0.80 0.80
time (sec) N/A 0.016 0.002 0.046 1.326 0.646 0.070 0.152 0.032




















Problem 213 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 57 57 57 52 52 52 49 53 51
normalized size 1 1.00 1.00 0.91 0.91 0.91 0.86 0.93 0.89
time (sec) N/A 0.036 0.028 0.043 1.274 0.539 0.143 0.151 5.093




















Problem 214 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 44 44 44 41 42 41 37 43 40
normalized size 1 1.00 1.00 0.93 0.95 0.93 0.84 0.98 0.91
time (sec) N/A 0.027 0.004 0.043 1.305 0.546 0.131 0.140 0.042




















Problem 215 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 31 31 31 30 29 29 26 30 29
normalized size 1 1.00 1.00 0.97 0.94 0.94 0.84 0.97 0.94
time (sec) N/A 0.021 0.004 0.045 1.366 0.474 0.120 0.191 0.041




















Problem 216 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 18 18 18 19 18 17 14 19 18
normalized size 1 1.00 1.00 1.06 1.00 0.94 0.78 1.06 1.00
time (sec) N/A 0.016 0.003 0.049 1.300 0.384 0.114 0.148 0.036




















Problem 217 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 10 10 10 11 10 10 7 11 10
normalized size 1 1.00 1.00 1.10 1.00 1.00 0.70 1.10 1.00
time (sec) N/A 0.007 0.001 0.042 1.323 0.380 0.071 0.146 0.022




















Problem 218 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 18 18 18 19 18 16 10 20 15
normalized size 1 1.00 1.00 1.06 1.00 0.89 0.56 1.11 0.83
time (sec) N/A 0.007 0.004 0.047 1.297 0.394 0.164 0.160 5.120




















Problem 219 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 28 28 28 29 28 26 19 30 25
normalized size 1 1.00 1.00 1.04 1.00 0.93 0.68 1.07 0.89
time (sec) N/A 0.015 0.005 0.050 1.357 0.395 0.198 0.153 0.052




















Problem 220 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 42 42 42 41 40 41 31 45 38
normalized size 1 1.00 1.00 0.98 0.95 0.98 0.74 1.07 0.90
time (sec) N/A 0.021 0.032 0.053 1.366 0.379 0.214 0.153 0.059




















Problem 221 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 56 56 56 53 51 54 44 56 48
normalized size 1 1.00 1.00 0.95 0.91 0.96 0.79 1.00 0.86
time (sec) N/A 0.027 0.006 0.053 1.332 0.392 0.235 0.161 0.061




















Problem 222 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 58 58 54 57 59 73 54 62 62
normalized size 1 1.00 0.93 0.98 1.02 1.26 0.93 1.07 1.07
time (sec) N/A 0.040 0.023 0.052 1.307 0.387 0.210 0.172 0.038




















Problem 223 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 46 46 43 45 47 62 44 48 50
normalized size 1 1.00 0.93 0.98 1.02 1.35 0.96 1.04 1.09
time (sec) N/A 0.030 0.015 0.048 1.317 0.368 0.207 0.155 0.045




















Problem 224 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 33 33 29 34 36 47 31 34 36
normalized size 1 1.00 0.88 1.03 1.09 1.42 0.94 1.03 1.09
time (sec) N/A 0.024 0.014 0.050 1.277 0.372 0.183 0.150 0.040




















Problem 225 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 23 23 20 24 26 28 20 24 23
normalized size 1 1.00 0.87 1.04 1.13 1.22 0.87 1.04 1.00
time (sec) N/A 0.018 0.007 0.049 1.330 0.387 0.141 0.154 0.037




















Problem 226 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 12 12 12 13 13 13 10 12 12
normalized size 1 1.00 1.00 1.08 1.08 1.08 0.83 1.00 1.00
time (sec) N/A 0.007 0.003 0.049 1.301 0.379 0.141 0.146 5.169




















Problem 227 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 24 30 28 39 22 31 26
normalized size 1 1.00 0.83 1.03 0.97 1.34 0.76 1.07 0.90
time (sec) N/A 0.019 0.013 0.065 1.291 0.392 0.219 0.150 0.045




















Problem 228 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 42 42 35 43 45 63 37 45 41
normalized size 1 1.00 0.83 1.02 1.07 1.50 0.88 1.07 0.98
time (sec) N/A 0.024 0.051 0.051 1.306 0.389 0.272 0.155 5.343




















Problem 229 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 58 58 53 57 64 86 54 64 57
normalized size 1 1.00 0.91 0.98 1.10 1.48 0.93 1.10 0.98
time (sec) N/A 0.032 0.089 0.059 1.316 0.386 0.311 0.152 5.315




















Problem 230 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 69 69 66 68 73 95 66 73 69
normalized size 1 1.00 0.96 0.99 1.06 1.38 0.96 1.06 1.00
time (sec) N/A 0.039 0.070 0.051 1.343 0.397 0.330 0.147 0.071




















Problem 231 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 84 84 79 79 86 108 80 86 79
normalized size 1 1.00 0.94 0.94 1.02 1.29 0.95 1.02 0.94
time (sec) N/A 0.052 0.047 0.054 1.366 0.382 0.362 0.153 0.077




















Problem 232 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 105 105 53 57 53 62 0 131 62
normalized size 1 1.00 0.50 0.54 0.50 0.59 0.00 1.25 0.59
time (sec) N/A 0.120 0.042 0.043 1.459 0.400 0.000 0.163 5.487




















Problem 233 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 80 80 42 46 42 51 0 108 51
normalized size 1 1.00 0.52 0.58 0.52 0.64 0.00 1.35 0.64
time (sec) N/A 0.074 0.044 0.046 1.444 0.389 0.000 0.157 5.475




















Problem 234 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 52 52 31 35 30 39 0 81 39
normalized size 1 1.00 0.60 0.67 0.58 0.75 0.00 1.56 0.75
time (sec) N/A 0.043 0.024 0.049 1.417 0.382 0.000 0.180 5.302




















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 23 27 12 26 0 50 -1
normalized size 1 1.00 0.92 1.08 0.48 1.04 0.00 2.00 -0.04
time (sec) N/A 0.036 0.011 0.041 1.426 0.386 0.000 0.155 0.000




















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 53 51 0 111 0 67 73
normalized size 1 1.00 1.04 1.00 0.00 2.18 0.00 1.31 1.43
time (sec) N/A 0.049 0.033 0.043 0.000 0.405 0.000 0.165 5.357




















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 48 56 0 127 0 45 -1
normalized size 1 1.00 0.92 1.08 0.00 2.44 0.00 0.87 -0.02
time (sec) N/A 0.052 0.054 0.053 0.000 0.397 0.000 0.257 0.000




















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 42 73 0 149 0 72 -1
normalized size 1 1.00 0.50 0.87 0.00 1.77 0.00 0.86 -0.01
time (sec) N/A 0.092 0.013 0.055 0.000 0.409 0.000 0.209 0.000




















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 42 89 0 175 0 92 -1
normalized size 1 1.00 0.38 0.79 0.00 1.56 0.00 0.82 -0.01
time (sec) N/A 0.138 0.014 0.056 0.000 0.417 0.000 0.268 0.000




















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 161 161 80 79 86 95 0 282 80
normalized size 1 1.00 0.50 0.49 0.53 0.59 0.00 1.75 0.50
time (sec) N/A 0.231 0.048 0.048 1.520 0.397 0.000 0.179 5.238




















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 69 68 75 84 0 246 69
normalized size 1 1.00 0.51 0.50 0.55 0.62 0.00 1.81 0.51
time (sec) N/A 0.172 0.040 0.051 1.549 0.402 0.000 0.193 5.237




















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 58 57 64 73 0 210 58
normalized size 1 1.00 0.54 0.53 0.59 0.68 0.00 1.94 0.54
time (sec) N/A 0.141 0.029 0.043 1.439 0.393 0.000 0.234 5.187




















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 47 46 53 62 0 173 47
normalized size 1 1.00 0.59 0.58 0.66 0.78 0.00 2.16 0.59
time (sec) N/A 0.133 0.027 0.045 1.547 0.377 0.000 0.239 5.175




















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 36 35 41 50 0 136 36
normalized size 1 1.00 0.69 0.67 0.79 0.96 0.00 2.62 0.69
time (sec) N/A 0.083 0.021 0.039 1.468 0.387 0.000 0.180 5.174




















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 23 27 28 37 0 89 28
normalized size 1 1.00 0.92 1.08 1.12 1.48 0.00 3.56 1.12
time (sec) N/A 0.041 0.014 0.041 1.388 0.397 0.000 0.162 5.618




















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 68 61 0 130 0 85 -1
normalized size 1 1.00 0.92 0.82 0.00 1.76 0.00 1.15 -0.01
time (sec) N/A 0.096 0.047 0.048 0.000 0.415 0.000 0.174 0.000




















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 40 72 0 136 0 62 -1
normalized size 1 1.00 0.55 0.99 0.00 1.86 0.00 0.85 -0.01
time (sec) N/A 0.093 0.015 0.055 0.000 0.408 0.000 0.207 0.000




















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 72 74 0 154 0 70 -1
normalized size 1 1.00 0.89 0.91 0.00 1.90 0.00 0.86 -0.01
time (sec) N/A 0.092 0.051 0.059 0.000 0.417 0.000 0.265 0.000




















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 42 87 0 175 0 92 -1
normalized size 1 1.00 0.39 0.80 0.00 1.61 0.00 0.84 -0.01
time (sec) N/A 0.134 0.022 0.056 0.000 0.425 0.000 0.229 0.000




















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 42 101 0 197 0 109 -1
normalized size 1 1.00 0.31 0.74 0.00 1.44 0.00 0.80 -0.01
time (sec) N/A 0.184 0.017 0.053 0.000 0.408 0.000 0.241 0.000




















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 165 165 42 113 0 219 0 126 -1
normalized size 1 1.00 0.25 0.68 0.00 1.33 0.00 0.76 -0.01
time (sec) N/A 0.236 0.029 0.054 0.000 0.411 0.000 0.267 0.000




















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 53 55 53 51 0 0 51
normalized size 1 1.00 0.51 0.53 0.51 0.50 0.00 0.00 0.50
time (sec) N/A 0.148 0.041 0.048 1.462 0.380 0.000 0.000 5.188




















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 42 44 42 40 0 0 40
normalized size 1 1.00 0.56 0.59 0.56 0.53 0.00 0.00 0.53
time (sec) N/A 0.100 0.027 0.046 1.459 0.403 0.000 0.000 5.201




















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 30 33 30 28 0 0 31
normalized size 1 1.00 0.61 0.67 0.61 0.57 0.00 0.00 0.63
time (sec) N/A 0.055 0.021 0.043 1.433 0.386 0.000 0.000 5.164




















Problem 255 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 23 23 21 25 12 21 0 26 17
normalized size 1 1.00 0.91 1.09 0.52 0.91 0.00 1.13 0.74
time (sec) N/A 0.010 0.008 0.043 1.410 0.394 0.000 0.197 5.142




















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 46 39 0 74 0 45 -1
normalized size 1 1.00 1.53 1.30 0.00 2.47 0.00 1.50 -0.03
time (sec) N/A 0.011 0.010 0.044 0.000 0.405 0.000 0.159 0.000




















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 66 55 0 127 0 0 -1
normalized size 1 1.00 1.22 1.02 0.00 2.35 0.00 0.00 -0.02
time (sec) N/A 0.049 0.064 0.048 0.000 0.411 0.000 0.000 0.000




















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 40 77 0 153 0 0 44
normalized size 1 1.00 0.46 0.89 0.00 1.76 0.00 0.00 0.51
time (sec) N/A 0.091 0.011 0.046 0.000 0.414 0.000 0.000 5.408




















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 40 95 0 175 0 0 -1
normalized size 1 1.00 0.35 0.83 0.00 1.52 0.00 0.00 -0.01
time (sec) N/A 0.135 0.011 0.055 0.000 0.420 0.000 0.000 0.000




















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 50 56 41 60 0 0 57
normalized size 1 1.00 0.51 0.57 0.42 0.61 0.00 0.00 0.58
time (sec) N/A 0.151 0.035 0.046 1.481 0.393 0.000 0.000 5.282




















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 39 46 30 49 0 0 47
normalized size 1 1.00 0.54 0.64 0.42 0.68 0.00 0.00 0.65
time (sec) N/A 0.105 0.018 0.048 1.442 0.386 0.000 0.000 5.223




















Problem 262 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 47 47 26 34 19 38 0 28 35
normalized size 1 1.00 0.55 0.72 0.40 0.81 0.00 0.60 0.74
time (sec) N/A 0.057 0.014 0.047 1.536 0.387 0.000 0.280 5.175




















Problem 263 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 21 21 19 27 12 29 0 37 28
normalized size 1 1.00 0.90 1.29 0.57 1.38 0.00 1.76 1.33
time (sec) N/A 0.018 0.007 0.044 1.479 0.379 0.000 0.226 5.074




















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 35 54 0 156 0 0 -1
normalized size 1 1.00 0.67 1.04 0.00 3.00 0.00 0.00 -0.02
time (sec) N/A 0.058 0.029 0.053 0.000 0.426 0.000 0.000 0.000




















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 36 62 0 189 0 0 -1
normalized size 1 1.00 0.48 0.83 0.00 2.52 0.00 0.00 -0.01
time (sec) N/A 0.086 0.010 0.059 0.000 0.406 0.000 0.000 0.000




















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 38 76 0 219 0 0 42
normalized size 1 1.00 0.35 0.69 0.00 1.99 0.00 0.00 0.38
time (sec) N/A 0.105 0.019 0.057 0.000 0.427 0.000 0.000 5.432




















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 138 138 38 86 0 241 0 0 -1
normalized size 1 1.00 0.28 0.62 0.00 1.75 0.00 0.00 -0.01
time (sec) N/A 0.186 0.010 0.061 0.000 0.401 0.000 0.000 0.000




















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 38 100 0 263 0 0 44
normalized size 1 1.00 0.23 0.60 0.00 1.58 0.00 0.00 0.27
time (sec) N/A 0.232 0.012 0.064 0.000 0.418 0.000 0.000 5.683




















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 125 125 104 103 0 180 0 64 -1
normalized size 1 1.00 0.83 0.82 0.00 1.44 0.00 0.51 -0.01
time (sec) N/A 0.169 0.135 0.069 0.000 0.412 0.000 0.204 0.000




















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 90 92 0 159 0 52 -1
normalized size 1 1.00 0.95 0.97 0.00 1.67 0.00 0.55 -0.01
time (sec) N/A 0.125 0.055 0.048 0.000 0.416 0.000 0.185 0.000




















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 73 78 0 131 0 38 -1
normalized size 1 1.00 1.22 1.30 0.00 2.18 0.00 0.63 -0.02
time (sec) N/A 0.083 0.043 0.049 0.000 0.424 0.000 0.178 0.000




















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 55 58 0 77 0 23 -1
normalized size 1 1.00 1.62 1.71 0.00 2.26 0.00 0.68 -0.03
time (sec) N/A 0.042 0.018 0.047 0.000 0.398 0.000 0.175 0.000




















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 23 27 0 21 0 30 -1
normalized size 1 1.00 0.92 1.08 0.00 0.84 0.00 1.20 -0.04
time (sec) N/A 0.038 0.010 0.037 0.000 0.400 0.000 0.236 0.000




















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 31 33 0 29 0 55 -1
normalized size 1 1.00 0.55 0.59 0.00 0.52 0.00 0.98 -0.02
time (sec) N/A 0.077 0.016 0.063 0.000 0.383 0.000 0.214 0.000




















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 86 86 44 46 0 40 0 77 -1
normalized size 1 1.00 0.51 0.53 0.00 0.47 0.00 0.90 -0.01
time (sec) N/A 0.118 0.016 0.045 0.000 0.382 0.000 0.202 0.000




















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 55 57 0 51 0 103 -1
normalized size 1 1.00 0.47 0.49 0.00 0.44 0.00 0.89 -0.01
time (sec) N/A 0.163 0.020 0.045 0.000 0.390 0.000 0.211 0.000




















Problem 277 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 61 61 59 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.039 0.022 0.497 0.000 0.409 0.000 0.000 0.000




















Problem 278 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 48 61 59 0 0 0 0 0 -1
normalized size 1 1.27 1.23 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.037 0.014 0.508 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 F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 52 0 0 0 0 0 -1
normalized size 1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.038 0.008 0.500 0.000 0.415 0.000 0.000 0.000




















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 30 36 0 38 0 0 54
normalized size 1 1.00 0.94 1.12 0.00 1.19 0.00 0.00 1.69
time (sec) N/A 0.025 0.016 0.046 0.000 0.417 0.000 0.000 5.281




















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 44 50 0 70 0 0 98
normalized size 1 1.00 0.63 0.71 0.00 1.00 0.00 0.00 1.40
time (sec) N/A 0.054 0.023 0.048 0.000 0.423 0.000 0.000 5.275




















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 116 116 72 84 0 111 0 0 157
normalized size 1 1.00 0.62 0.72 0.00 0.96 0.00 0.00 1.35
time (sec) N/A 0.091 0.032 0.049 0.000 0.411 0.000 0.000 5.365




















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 24 31 36 36 36 22 37
normalized size 1 1.00 1.26 1.63 1.89 1.89 1.89 1.16 1.95
time (sec) N/A 0.010 0.008 0.056 1.286 0.364 0.405 0.176 5.110




















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 46 48 46 42 0 0 42
normalized size 1 1.00 0.58 0.60 0.58 0.52 0.00 0.00 0.52
time (sec) N/A 0.115 0.034 0.050 1.433 0.388 0.000 0.000 5.184




















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 34 37 34 30 0 0 33
normalized size 1 1.00 0.65 0.71 0.65 0.58 0.00 0.00 0.63
time (sec) N/A 0.065 0.019 0.056 1.443 0.387 0.000 0.000 5.327




















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 27 14 21 0 0 21
normalized size 1 1.00 1.00 1.08 0.56 0.84 0.00 0.00 0.84
time (sec) N/A 0.017 0.008 0.048 1.405 0.373 0.000 0.000 5.190




















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 54 43 0 75 0 47 -1
normalized size 1 1.00 1.69 1.34 0.00 2.34 0.00 1.47 -0.03
time (sec) N/A 0.011 0.011 0.048 0.000 0.415 0.000 0.191 0.000




















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 71 66 0 127 0 57 -1
normalized size 1 1.00 1.20 1.12 0.00 2.15 0.00 0.97 -0.02
time (sec) N/A 0.055 0.071 0.051 0.000 0.417 0.000 0.210 0.000




















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 238 238 68 248 0 0 0 0 -1
normalized size 1 1.00 0.29 1.04 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.142 0.028 1.292 0.000 0.405 0.000 0.000 0.000




















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 212 212 52 231 0 0 0 0 -1
normalized size 1 1.00 0.25 1.09 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.067 0.010 0.049 0.000 0.417 0.000 0.000 0.000




















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 243 243 55 248 0 0 0 0 44
normalized size 1 1.00 0.23 1.02 0.00 0.00 0.00 0.00 0.18
time (sec) N/A 0.129 0.013 0.524 0.000 0.405 0.000 0.000 5.712




















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 514 514 68 676 0 0 0 0 -1
normalized size 1 1.00 0.13 1.32 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.308 0.025 0.539 0.000 0.411 0.000 0.000 0.000




















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 484 484 55 394 0 0 0 0 -1
normalized size 1 1.00 0.11 0.81 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.190 0.030 0.059 0.000 0.408 0.000 0.000 0.000




















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 510 510 50 673 0 0 0 0 -1
normalized size 1 1.00 0.10 1.32 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.273 0.011 0.545 0.000 0.404 0.000 0.000 0.000




















Problem 295 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 265 265 86 2017 0 0 0 0 -1
normalized size 1 1.00 0.32 7.61 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.282 0.053 0.846 0.000 0.418 0.000 0.000 0.000




















Problem 296 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 525 525 70 2586 0 0 0 0 -1
normalized size 1 1.00 0.13 4.93 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.500 0.029 0.668 0.000 0.428 0.000 0.000 0.000




















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 81 3347 0 148 0 44 -1
normalized size 1 1.00 1.25 51.49 0.00 2.28 0.00 0.68 -0.02
time (sec) N/A 0.090 0.042 1.140 0.000 0.553 0.000 0.246 0.000




















Problem 298 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 237 237 70 1793 0 0 0 0 -1
normalized size 1 1.00 0.30 7.57 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.225 0.035 1.135 0.000 0.404 0.000 0.000 0.000




















Problem 299 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 492 492 57 2374 0 0 0 0 -1
normalized size 1 1.00 0.12 4.83 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.398 0.024 1.166 0.000 0.426 0.000 0.000 0.000




















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 36 36 59 480 0 101 0 41 -1
normalized size 1 1.00 1.64 13.33 0.00 2.81 0.00 1.14 -0.03
time (sec) N/A 0.048 0.023 1.237 0.000 0.544 0.000 0.201 0.000




















Problem 301 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 203 203 55 437 0 0 0 0 -1
normalized size 1 1.00 0.27 2.15 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.166 0.014 1.225 0.000 0.411 0.000 0.000 0.000




















Problem 302 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 519 519 55 2860 0 0 0 0 -1
normalized size 1 1.00 0.11 5.51 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.487 0.025 0.910 0.000 0.399 0.000 0.000 0.000




















Problem 303 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 27 27 27 29 26 21 0 23 -1
normalized size 1 1.00 1.00 1.07 0.96 0.78 0.00 0.85 -0.04
time (sec) N/A 0.040 0.012 0.045 1.421 0.385 0.000 0.204 0.000




















Problem 304 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 235 235 57 1795 0 0 0 0 -1
normalized size 1 1.00 0.24 7.64 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.221 0.016 1.081 0.000 0.398 0.000 0.000 0.000




















Problem 305 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 555 555 57 3048 0 0 0 0 -1
normalized size 1 1.00 0.10 5.49 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.573 0.026 1.086 0.000 0.407 0.000 0.000 0.000




















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 56 56 35 37 38 31 0 38 -1
normalized size 1 1.00 0.62 0.66 0.68 0.55 0.00 0.68 -0.02
time (sec) N/A 0.083 0.019 0.043 1.421 0.386 0.000 0.232 0.000




















Problem 307 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 265 265 57 2009 0 0 0 0 -1
normalized size 1 1.00 0.22 7.58 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.284 0.017 1.235 0.000 0.403 0.000 0.000 0.000




















Problem 308 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 28 28 28 29 28 26 19 30 25
normalized size 1 1.00 1.00 1.04 1.00 0.93 0.68 1.07 0.89
time (sec) N/A 0.017 0.005 0.048 1.363 0.378 0.207 0.151 5.209




















Problem 309 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 42 42 42 41 40 41 31 45 38
normalized size 1 1.00 1.00 0.98 0.95 0.98 0.74 1.07 0.90
time (sec) N/A 0.019 0.005 0.048 1.358 0.387 0.216 0.144 5.724




















Problem 310 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 112 112 94 120 0 171 0 0 -1
normalized size 1 1.00 0.84 1.07 0.00 1.53 0.00 0.00 -0.01
time (sec) N/A 0.179 0.196 0.047 0.000 0.398 0.000 0.000 0.000




















Problem 311 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 86 86 92 98 0 150 0 0 -1
normalized size 1 1.00 1.07 1.14 0.00 1.74 0.00 0.00 -0.01
time (sec) N/A 0.127 0.073 0.053 0.000 0.419 0.000 0.000 0.000




















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 75 78 0 122 0 48 -1
normalized size 1 1.00 1.34 1.39 0.00 2.18 0.00 0.86 -0.02
time (sec) N/A 0.082 0.050 0.049 0.000 0.408 0.000 0.231 0.000




















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 59 56 0 74 0 23 -1
normalized size 1 1.00 1.84 1.75 0.00 2.31 0.00 0.72 -0.03
time (sec) N/A 0.034 0.018 0.051 0.000 0.391 0.000 0.281 0.000




















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 21 25 0 21 0 27 21
normalized size 1 1.00 0.91 1.09 0.00 0.91 0.00 1.17 0.91
time (sec) N/A 0.005 0.008 0.048 0.000 0.379 0.000 0.206 5.140




















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 29 30 0 29 0 27 42
normalized size 1 1.00 0.56 0.58 0.00 0.56 0.00 0.52 0.81
time (sec) N/A 0.045 0.015 0.054 0.000 0.378 0.000 0.231 5.062




















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 42 46 0 40 0 43 40
normalized size 1 1.00 0.52 0.58 0.00 0.50 0.00 0.54 0.50
time (sec) N/A 0.086 0.021 0.044 0.000 0.398 0.000 0.239 5.140




















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 53 57 0 51 0 57 92
normalized size 1 1.00 0.49 0.53 0.00 0.47 0.00 0.53 0.85
time (sec) N/A 0.134 0.024 0.046 0.000 0.393 0.000 0.268 5.137




















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 64 68 0 62 0 71 116
normalized size 1 1.00 0.47 0.50 0.00 0.46 0.00 0.52 0.85
time (sec) N/A 0.174 0.021 0.046 0.000 0.390 0.000 0.233 5.145




















Problem 319 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 26 26 26 23 22 28 22 32 22
normalized size 1 1.00 1.00 0.88 0.85 1.08 0.85 1.23 0.85
time (sec) N/A 0.018 0.014 0.045 1.337 0.387 0.221 0.147 0.050




















Problem 320 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 27 27 27 23 22 28 22 32 22
normalized size 1 1.00 1.00 0.85 0.81 1.04 0.81 1.19 0.81
time (sec) N/A 0.018 0.006 0.050 1.323 0.382 0.233 0.180 5.209




















Problem 321 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 8 8 14 9 14 8 5 15 8
normalized size 1 1.00 1.75 1.12 1.75 1.00 0.62 1.88 1.00
time (sec) N/A 0.003 0.005 0.043 1.333 0.378 0.072 0.148 5.274




















Problem 322 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 10 10 10 11 16 18 15 16 10
normalized size 1 1.00 1.00 1.10 1.60 1.80 1.50 1.60 1.00
time (sec) N/A 0.003 0.003 0.034 1.337 0.359 0.078 0.145 0.032




















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 12 12 12 11 16 26 27 16 26
normalized size 1 1.00 1.00 0.92 1.33 2.17 2.25 1.33 2.17
time (sec) N/A 0.003 0.004 0.046 1.310 0.369 0.088 0.147 0.037




















Problem 324 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 10 10 10 11 10 10 7 10 10
normalized size 1 1.00 1.00 1.10 1.00 1.00 0.70 1.00 1.00
time (sec) N/A 0.002 0.001 0.043 1.357 0.369 0.077 0.148 0.027




















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 19 21 22 32 0 19
normalized size 1 1.00 1.00 0.95 1.05 1.10 1.60 0.00 0.95
time (sec) N/A 0.006 0.004 0.045 1.345 0.409 0.635 0.000 5.178




















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 21 40 36 82 0 21
normalized size 1 1.00 1.00 1.05 2.00 1.80 4.10 0.00 1.05
time (sec) N/A 0.008 0.004 0.043 1.361 0.411 1.027 0.000 5.135




















Problem 327 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 20 20 20 21 53 52 119 0 21
normalized size 1 1.00 1.00 1.05 2.65 2.60 5.95 0.00 1.05
time (sec) N/A 0.009 0.004 0.041 1.402 0.394 1.355 0.000 5.122




















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 160 135 134 134 160 134 134
normalized size 1 1.00 10.00 8.44 8.38 8.38 10.00 8.38 8.38
time (sec) N/A 0.004 0.005 0.048 1.314 0.338 0.118 0.145 5.157




















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 160 135 134 134 160 134 134
normalized size 1 1.00 10.00 8.44 8.38 8.38 10.00 8.38 8.38
time (sec) N/A 0.011 0.020 0.039 1.369 0.344 0.130 0.151 5.156




















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 160 135 134 134 160 134 134
normalized size 1 1.00 10.00 8.44 8.38 8.38 10.00 8.38 8.38
time (sec) N/A 0.012 0.014 0.037 1.312 0.326 0.138 0.149 5.153




















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 24 339 275 231 0 285 287
normalized size 1 1.00 0.89 12.56 10.19 8.56 0.00 10.56 10.63
time (sec) N/A 0.015 0.031 0.108 1.428 0.412 0.000 0.515 5.875




















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 160 135 134 134 160 134 134
normalized size 1 1.00 10.00 8.44 8.38 8.38 10.00 8.38 8.38
time (sec) N/A 0.004 0.004 0.047 1.325 0.346 0.128 0.167 0.002




















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 160 135 134 134 160 134 134
normalized size 1 1.00 10.00 8.44 8.38 8.38 10.00 8.38 8.38
time (sec) N/A 0.005 0.006 0.043 1.340 0.338 0.127 0.148 5.188




















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 160 135 134 134 160 134 134
normalized size 1 1.00 10.00 8.44 8.38 8.38 10.00 8.38 8.38
time (sec) N/A 0.004 0.007 0.043 1.347 0.342 0.127 0.164 5.158




















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 24 287 275 205 0 205 285
normalized size 1 1.00 0.89 10.63 10.19 7.59 0.00 7.59 10.56
time (sec) N/A 0.008 0.005 0.085 1.481 0.417 0.000 0.271 5.950




















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 126 121 93 0 93 124
normalized size 1 1.00 1.00 4.67 4.48 3.44 0.00 3.44 4.59
time (sec) N/A 0.010 0.014 0.064 1.406 0.411 0.000 0.199 5.437




















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 39 66 82 0 0 38
normalized size 1 1.00 1.00 1.44 2.44 3.04 0.00 0.00 1.41
time (sec) N/A 0.014 0.022 0.068 1.401 0.408 0.000 0.000 5.211




















Problem 338 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 15 15 15 14 13 13 10 14 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.67 0.93 0.87
time (sec) N/A 0.005 0.003 0.039 1.288 0.367 0.122 0.147 0.046




















Problem 339 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 15 15 15 14 13 13 10 14 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.67 0.93 0.87
time (sec) N/A 0.006 0.004 0.041 1.273 0.381 0.148 0.145 5.124




















Problem 340 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 15 15 15 14 13 13 10 14 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.67 0.93 0.87
time (sec) N/A 0.005 0.005 0.036 1.368 0.377 0.164 0.146 0.047




















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 24 31 36 36 36 22 37
normalized size 1 1.00 1.26 1.63 1.89 1.89 1.89 1.16 1.95
time (sec) N/A 0.005 0.010 0.049 1.334 0.373 0.282 0.191 0.042




















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 24 31 36 36 36 22 37
normalized size 1 1.00 1.26 1.63 1.89 1.89 1.89 1.16 1.95
time (sec) N/A 0.006 0.017 0.051 1.290 0.365 0.500 0.173 0.062




















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 24 31 36 36 36 22 37
normalized size 1 1.00 1.26 1.63 1.89 1.89 1.89 1.16 1.95
time (sec) N/A 0.006 0.013 0.055 1.306 0.373 0.745 0.150 5.184




















Problem 344 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 24 24 24 23 22 25 19 22 22
normalized size 1 1.00 1.00 0.96 0.92 1.04 0.79 0.92 0.92
time (sec) N/A 0.011 0.002 0.043 1.359 0.370 0.103 0.154 0.042




















Problem 345 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 40 40 40 35 34 38 37 46 34
normalized size 1 1.00 1.00 0.88 0.85 0.95 0.92 1.15 0.85
time (sec) N/A 0.023 0.008 0.044 1.318 0.379 0.151 0.169 0.037




















Problem 346 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 50 50 50 45 44 48 49 45 47
normalized size 1 1.00 1.00 0.90 0.88 0.96 0.98 0.90 0.94
time (sec) N/A 0.021 0.007 0.048 1.322 0.378 0.188 0.150 0.048




















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B A A B
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 185 185 144 156 124 637 36 112 197
normalized size 1 1.00 0.78 0.84 0.67 3.44 0.19 0.61 1.06
time (sec) N/A 0.346 0.143 0.108 2.902 1.253 1.542 0.181 5.914




















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 363 325 297 0 269 363
normalized size 1 1.00 1.00 12.52 11.21 10.24 0.00 9.28 12.52
time (sec) N/A 0.017 0.017 0.211 1.479 0.411 0.000 2.472 6.777




















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 160 135 14 134 160 14 14
normalized size 1 1.00 10.00 8.44 0.88 8.38 10.00 0.88 0.88
time (sec) N/A 0.003 0.006 0.043 1.329 0.327 0.115 0.150 5.325




















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 160 135 134 134 160 134 134
normalized size 1 1.00 10.00 8.44 8.38 8.38 10.00 8.38 8.38
time (sec) N/A 0.009 0.006 0.044 1.343 0.339 0.127 0.155 0.002




















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 160 135 134 134 160 134 134
normalized size 1 1.00 10.00 8.44 8.38 8.38 10.00 8.38 8.38
time (sec) N/A 0.012 0.008 0.039 1.355 0.340 0.140 0.153 5.222




















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 160 135 14 134 160 14 14
normalized size 1 1.00 10.00 8.44 0.88 8.38 10.00 0.88 0.88
time (sec) N/A 0.003 0.005 0.039 1.352 0.343 0.111 0.147 5.202




















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 160 135 134 134 160 134 134
normalized size 1 1.00 10.00 8.44 8.38 8.38 10.00 8.38 8.38
time (sec) N/A 0.008 0.007 0.042 1.311 0.349 0.131 0.214 0.002




















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 160 135 14 134 160 14 14
normalized size 1 1.00 10.00 8.44 0.88 8.38 10.00 0.88 0.88
time (sec) N/A 0.003 0.006 0.043 1.298 0.339 0.117 0.153 5.177




















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 23 36 37 27 53 0 26
normalized size 1 1.00 1.00 1.57 1.61 1.17 2.30 0.00 1.13
time (sec) N/A 0.011 0.009 0.051 1.424 0.404 0.675 0.000 5.260




















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 22 39 27 28 41 0 31
normalized size 1 1.00 0.96 1.70 1.17 1.22 1.78 0.00 1.35
time (sec) N/A 0.013 0.006 0.053 1.335 0.406 1.810 0.000 5.227




















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 41 19 28 39 0 34
normalized size 1 1.00 1.00 2.73 1.27 1.87 2.60 0.00 2.27
time (sec) N/A 0.008 0.005 0.056 1.369 0.416 2.142 0.000 5.225




















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 22 22 22 32 16 26 20 0 26
normalized size 1 1.00 1.00 1.45 0.73 1.18 0.91 0.00 1.18
time (sec) N/A 0.010 0.006 0.051 1.321 0.399 1.508 0.000 5.231




















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 34 11 26 22 0 28
normalized size 1 1.00 1.00 2.27 0.73 1.73 1.47 0.00 1.87
time (sec) N/A 0.006 0.004 0.050 1.321 0.407 1.702 0.000 5.203




















Problem 360 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 12 12 12 12 8 8 8 9 8
normalized size 1 1.00 1.00 1.00 0.67 0.67 0.67 0.75 0.67
time (sec) N/A 0.004 0.003 0.046 1.330 0.391 0.178 0.153 0.096




















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 116 17 8 22 18 8
normalized size 1 1.00 1.00 8.29 1.21 0.57 1.57 1.29 0.57
time (sec) N/A 0.005 0.003 0.436 1.300 0.389 0.374 0.198 5.296




















Problem 362 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 12 12 12 9 8 8 10 32 8
normalized size 1 1.00 1.00 0.75 0.67 0.67 0.83 2.67 0.67
time (sec) N/A 0.004 0.002 0.044 2.888 0.386 0.259 0.152 0.094




















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 24 24 24 39 31 24 32 0 26
normalized size 1 1.00 1.00 1.62 1.29 1.00 1.33 0.00 1.08
time (sec) N/A 0.016 0.024 0.162 2.929 0.422 0.445 0.000 5.249




















Problem 364 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 75 75 104 0 0 0 0 0 -1
normalized size 1 1.00 1.39 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.114 0.226 0.866 0.000 0.000 0.000 0.000 0.000




















Problem 365 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 99 99 109 0 0 0 0 0 -1
normalized size 1 1.00 1.10 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.157 0.067 0.950 0.000 0.000 0.000 0.000 0.000




















Problem 366 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 91 91 103 0 0 0 0 0 -1
normalized size 1 1.00 1.13 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.155 0.270 0.761 0.000 0.000 0.000 0.000 0.000




















Problem 367 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 71 71 99 0 0 0 0 0 -1
normalized size 1 1.00 1.39 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.076 0.160 0.723 0.000 0.000 0.000 0.000 0.000




















Problem 368 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 87 87 100 0 0 0 0 0 -1
normalized size 1 1.00 1.15 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.138 0.286 0.971 0.000 0.000 0.000 0.000 0.000




















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 46 39 58 97 78 0 -1
normalized size 1 1.00 0.90 0.76 1.14 1.90 1.53 0.00 -0.02
time (sec) N/A 0.029 0.014 0.044 2.956 0.416 1.776 0.000 0.000




















Problem 370 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 84 84 85 0 0 0 0 0 -1
normalized size 1 1.00 1.01 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.171 0.068 0.715 0.000 0.000 0.000 0.000 0.000




















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 78 0 0 0 0 0 97
normalized size 1 1.00 1.28 0.00 0.00 0.00 0.00 0.00 1.59
time (sec) N/A 0.083 0.056 0.716 0.000 0.000 0.000 0.000 5.169




















Problem 372 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 85 85 85 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.199 0.074 0.739 0.000 0.000 0.000 0.000 0.000




















Problem 373 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 Yes TBD TBD TBD TBD TBD TBD
size 141 141 131 0 0 0 0 0 -1
normalized size 1 1.00 0.93 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.225 0.263 0.868 0.000 0.000 0.000 0.000 0.000




















Problem 374 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 Yes TBD TBD TBD TBD TBD TBD
size 128 128 126 0 0 0 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.209 0.326 0.710 0.000 0.000 0.000 0.000 0.000




















Problem 375 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 104 104 117 0 0 0 0 0 -1
normalized size 1 1.00 1.12 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.133 0.173 0.709 0.000 0.000 0.000 0.000 0.000




















Problem 376 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 122 122 120 0 0 0 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.188 0.276 0.687 0.000 0.000 0.000 0.000 0.000




















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 58 51 73 120 88 0 -1
normalized size 1 1.00 0.79 0.70 1.00 1.64 1.21 0.00 -0.01
time (sec) N/A 0.041 0.028 0.049 3.001 0.414 3.076 0.000 0.000




















Problem 378 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 117 117 97 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 0.230 0.078 0.668 0.000 0.000 0.000 0.000 0.000




















Problem 379 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 98 98 94 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 0.172 0.072 0.696 0.000 0.000 0.000 0.000 0.000




















Problem 380 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 Yes TBD TBD TBD TBD TBD TBD
size 122 122 100 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 0.276 0.090 0.708 0.000 0.000 0.000 0.000 0.000




















Problem 381 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 100 100 96 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 0.212 0.079 0.727 0.000 0.000 0.000 0.000 0.000




















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 58 47 0 93 0 67 67
normalized size 1 1.00 1.14 0.92 0.00 1.82 0.00 1.31 1.31
time (sec) N/A 0.077 0.029 0.076 0.000 0.413 0.000 0.162 5.184




















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 42 42 62 61 53 108 0 69 55
normalized size 1 1.00 1.48 1.45 1.26 2.57 0.00 1.64 1.31
time (sec) N/A 0.023 0.032 0.076 2.935 0.409 0.000 0.169 5.574




















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 66 55 0 104 0 71 63
normalized size 1 1.00 1.29 1.08 0.00 2.04 0.00 1.39 1.24
time (sec) N/A 0.065 0.038 0.080 0.000 0.413 0.000 0.191 5.337




















Problem 385 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 61 61 70 74 0 112 0 0 -1
normalized size 1 1.00 1.15 1.21 0.00 1.84 0.00 0.00 -0.02
time (sec) N/A 0.080 0.022 1.870 0.000 0.442 0.000 0.000 0.000




















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 66 55 0 98 0 61 67
normalized size 1 1.00 1.25 1.04 0.00 1.85 0.00 1.15 1.26
time (sec) N/A 0.079 0.031 0.085 0.000 0.408 0.000 0.159 5.182




















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 68 81 34 118 0 63 54
normalized size 1 1.00 1.58 1.88 0.79 2.74 0.00 1.47 1.26
time (sec) N/A 0.023 0.034 0.087 2.995 0.414 0.000 0.240 5.384




















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 73 73 0 109 0 65 63
normalized size 1 1.00 1.38 1.38 0.00 2.06 0.00 1.23 1.19
time (sec) N/A 0.068 0.042 0.110 0.000 0.407 0.000 0.189 5.354




















Problem 389 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 63 63 78 105 0 118 0 0 -1
normalized size 1 1.00 1.24 1.67 0.00 1.87 0.00 0.00 -0.02
time (sec) N/A 0.080 0.032 1.987 0.000 0.424 0.000 0.000 0.000




















Problem 390 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 62 62 98 0 0 0 0 0 -1
normalized size 1 1.00 1.58 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.108 0.161 0.792 0.000 0.000 0.000 0.000 0.000




















Problem 391 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 53 53 89 0 0 0 0 0 -1
normalized size 1 1.00 1.68 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.099 0.169 0.729 0.000 0.000 0.000 0.000 0.000




















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F(-2) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 78 0 0 0 0 0 67
normalized size 1 1.00 2.11 0.00 0.00 0.00 0.00 0.00 1.81
time (sec) N/A 0.015 0.074 0.709 0.000 0.000 0.000 0.000 5.387




















Problem 393 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 51 51 87 0 0 0 0 0 -1
normalized size 1 1.00 1.71 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.085 0.135 0.715 0.000 0.000 0.000 0.000 0.000




















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 26 42 76 27 0 -1
normalized size 1 1.00 1.00 0.84 1.35 2.45 0.87 0.00 -0.03
time (sec) N/A 0.020 0.007 0.050 2.957 0.425 1.976 0.000 0.000




















Problem 395 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 54 54 68 0 0 0 0 0 -1
normalized size 1 1.00 1.26 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.111 0.050 0.724 0.000 0.000 0.000 0.000 0.000




















Problem 396 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 40 40 66 0 0 0 0 0 -1
normalized size 1 1.00 1.65 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.074 0.048 0.704 0.000 0.000 0.000 0.000 0.000




















Problem 397 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 Yes TBD TBD TBD TBD TBD TBD
size 54 54 68 0 0 0 0 0 -1
normalized size 1 1.00 1.26 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.136 0.057 0.723 0.000 0.000 0.000 0.000 0.000




















Problem 398 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 107 107 117 0 0 0 0 0 -1
normalized size 1 1.00 1.09 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.187 0.199 0.832 0.000 0.000 0.000 0.000 0.000




















Problem 399 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 Yes TBD TBD TBD TBD TBD TBD
size 94 94 109 0 0 0 0 0 -1
normalized size 1 1.00 1.16 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.160 0.209 0.731 0.000 0.000 0.000 0.000 0.000




















Problem 400 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 72 72 91 0 0 0 0 0 -1
normalized size 1 1.00 1.26 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.088 0.152 0.702 0.000 0.000 0.000 0.000 0.000




















Problem 401 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 85 85 104 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 0.138 0.201 0.738 0.000 0.000 0.000 0.000 0.000




















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 40 42 61 148 185 0 -1
normalized size 1 1.00 0.74 0.78 1.13 2.74 3.43 0.00 -0.02
time (sec) N/A 0.033 0.014 0.051 3.065 0.418 3.721 0.000 0.000




















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 55 0 0 0 0 0 -1
normalized size 1 1.00 0.61 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.194 0.049 0.681 0.000 0.000 0.000 0.000 0.000




















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 51 0 0 0 0 0 -1
normalized size 1 1.00 0.71 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.156 0.043 0.720 0.000 0.000 0.000 0.000 0.000




















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 55 0 0 0 0 0 -1
normalized size 1 1.00 0.61 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.217 0.055 0.694 0.000 0.000 0.000 0.000 0.000




















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 51 0 0 0 0 0 -1
normalized size 1 1.00 0.71 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.152 0.065 0.730 0.000 0.000 0.000 0.000 0.000




















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 63 477 0 102 0 0 -1
normalized size 1 1.00 1.97 14.91 0.00 3.19 0.00 0.00 -0.03
time (sec) N/A 0.014 0.025 0.570 0.000 0.543 0.000 0.000 0.000




















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 59 49 0 80 0 40 -1
normalized size 1 1.00 1.84 1.53 0.00 2.50 0.00 1.25 -0.03
time (sec) N/A 0.016 0.020 0.194 0.000 0.417 0.000 0.214 0.000




















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 32 32 63 0 0 102 0 0 -1
normalized size 1 1.00 1.97 0.00 0.00 3.19 0.00 0.00 -0.03
time (sec) N/A 0.016 0.029 0.115 0.000 0.907 0.000 0.000 0.000




















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 76 0 0 102 0 0 -1
normalized size 1 1.00 2.05 0.00 0.00 2.76 0.00 0.00 -0.03
time (sec) N/A 0.024 0.050 0.732 0.000 0.414 0.000 0.000 0.000




















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F A F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 66 471 0 111 0 0 -1
normalized size 1 1.00 2.00 14.27 0.00 3.36 0.00 0.00 -0.03
time (sec) N/A 0.014 0.033 6.219 0.000 0.542 0.000 0.000 0.000




















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 62 53 0 88 0 47 -1
normalized size 1 1.00 1.88 1.61 0.00 2.67 0.00 1.42 -0.03
time (sec) N/A 0.015 0.023 0.190 0.000 0.409 0.000 0.187 0.000




















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 66 0 0 111 0 0 -1
normalized size 1 1.00 2.00 0.00 0.00 3.36 0.00 0.00 -0.03
time (sec) N/A 0.016 0.028 0.157 0.000 0.918 0.000 0.000 0.000




















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 78 0 0 106 0 0 -1
normalized size 1 1.00 2.05 0.00 0.00 2.79 0.00 0.00 -0.03
time (sec) N/A 0.023 0.059 1.377 0.000 0.415 0.000 0.000 0.000




















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F(-2) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 78 0 0 0 0 0 67
normalized size 1 1.00 2.11 0.00 0.00 0.00 0.00 0.00 1.81
time (sec) N/A 0.023 0.103 0.760 0.000 0.000 0.000 0.000 5.209




















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 78 0 0 109 0 0 67
normalized size 1 1.00 2.11 0.00 0.00 2.95 0.00 0.00 1.81
time (sec) N/A 0.019 0.040 2.102 0.000 0.414 0.000 0.000 5.323




















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F(-2) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 78 0 0 0 0 0 67
normalized size 1 1.00 2.11 0.00 0.00 0.00 0.00 0.00 1.81
time (sec) N/A 0.018 0.029 0.720 0.000 0.000 0.000 0.000 5.127




















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F(-2) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 80 0 0 0 0 0 66
normalized size 1 1.00 2.11 0.00 0.00 0.00 0.00 0.00 1.74
time (sec) N/A 0.021 0.106 0.696 0.000 0.000 0.000 0.000 5.166




















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 80 0 0 109 0 0 66
normalized size 1 1.00 2.11 0.00 0.00 2.87 0.00 0.00 1.74
time (sec) N/A 0.020 0.025 2.152 0.000 0.421 0.000 0.000 5.102




















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F(-2) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 80 0 0 0 0 0 66
normalized size 1 1.00 2.11 0.00 0.00 0.00 0.00 0.00 1.74
time (sec) N/A 0.019 0.028 0.694 0.000 0.000 0.000 0.000 5.117




















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 107 107 218 0 0 0 0 0 -1
normalized size 1 1.00 2.04 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.102 0.412 0.884 0.000 0.000 0.000 0.000 0.000




















Problem 422 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 100 100 156 0 0 0 0 0 -1
normalized size 1 1.00 1.56 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.095 0.210 0.839 0.000 0.000 0.000 0.000 0.000




















Problem 423 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 102 102 106 0 0 0 0 0 -1
normalized size 1 1.00 1.04 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.097 0.091 0.820 0.000 0.000 0.000 0.000 0.000




















Problem 424 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 111 111 116 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 0.108 0.145 0.793 0.000 0.000 0.000 0.000 0.000




















Problem 425 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 111 111 166 0 0 0 0 0 -1
normalized size 1 1.00 1.50 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.106 0.551 0.807 0.000 0.000 0.000 0.000 0.000




















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 177 0 0 0 0 0 82
normalized size 1 1.00 1.82 0.00 0.00 0.00 0.00 0.00 0.85
time (sec) N/A 0.055 0.229 0.806 0.000 0.000 0.000 0.000 5.245




















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 134 0 0 0 0 0 82
normalized size 1 1.00 1.54 0.00 0.00 0.00 0.00 0.00 0.94
time (sec) N/A 0.053 0.166 0.847 0.000 0.000 0.000 0.000 5.225




















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 88 0 0 0 0 0 83
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.89
time (sec) N/A 0.051 0.058 0.783 0.000 0.000 0.000 0.000 5.273




















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 104 0 0 0 0 0 83
normalized size 1 1.00 1.03 0.00 0.00 0.00 0.00 0.00 0.82
time (sec) N/A 0.057 0.123 0.773 0.000 0.000 0.000 0.000 5.484




















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 101 101 185 0 0 0 0 0 83
normalized size 1 1.00 1.83 0.00 0.00 0.00 0.00 0.00 0.82
time (sec) N/A 0.057 0.382 0.796 0.000 0.000 0.000 0.000 5.604




















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 19 16 0 16 0 50 15
normalized size 1 1.00 1.06 0.89 0.00 0.89 0.00 2.78 0.83
time (sec) N/A 0.007 0.006 0.047 0.000 0.387 0.000 0.185 5.262




















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 18 0 19 0 11 27
normalized size 1 1.00 1.00 0.90 0.00 0.95 0.00 0.55 1.35
time (sec) N/A 0.003 0.010 0.054 0.000 0.438 0.000 0.172 5.322




















Problem 433 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 8 8 8 7 6 6 7 6 6
normalized size 1 1.00 1.00 0.88 0.75 0.75 0.88 0.75 0.75
time (sec) N/A 0.004 0.002 0.044 3.144 0.381 0.213 0.155 5.244




















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 25 29 14 28 0 27 22
normalized size 1 1.00 1.00 1.16 0.56 1.12 0.00 1.08 0.88
time (sec) N/A 0.010 0.013 0.050 1.463 0.392 0.000 0.169 5.231




















Problem 435 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 25 25 25 29 14 28 0 27 29
normalized size 1 1.00 1.00 1.16 0.56 1.12 0.00 1.08 1.16
time (sec) N/A 0.011 0.003 0.044 1.427 0.387 0.000 0.163 5.258




















Problem 436 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 25 25 25 29 14 28 0 14 22
normalized size 1 1.00 1.00 1.16 0.56 1.12 0.00 0.56 0.88
time (sec) N/A 0.008 0.012 0.053 1.465 0.374 0.000 0.186 5.211




















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 988 988 61 0 0 0 0 0 42
normalized size 1 1.00 0.06 0.00 0.00 0.00 0.00 0.00 0.04
time (sec) N/A 2.245 0.021 0.542 0.000 0.000 0.000 0.000 5.410




















Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F(-1) F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 487 487 61 0 0 0 0 0 42
normalized size 1 1.00 0.13 0.00 0.00 0.00 0.00 0.00 0.09
time (sec) N/A 0.974 0.017 0.480 0.000 0.000 0.000 0.000 5.251




















Problem 439 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 89 92 92 0 0 0 0 0 -1
normalized size 1 1.03 1.03 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.068 0.135 0.744 0.000 0.611 0.000 0.000 0.000




















Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 73 0 0 0 0 0 -1
normalized size 1 1.00 1.06 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.068 0.175 0.809 0.000 0.810 0.000 0.000 0.000




















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 74 74 0 0 0 0 0 -1
normalized size 1 1.12 1.12 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.068 0.129 0.760 0.000 0.727 0.000 0.000 0.000




















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 82 0 0 0 0 0 -1
normalized size 1 1.00 1.19 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.078 0.198 0.786 0.000 0.632 0.000 0.000 0.000




















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 84 84 83 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 0.081 0.147 0.804 0.000 0.623 0.000 0.000 0.000




















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 43 0 0 64 0 0 76
normalized size 1 1.00 0.98 0.00 0.00 1.45 0.00 0.00 1.73
time (sec) N/A 0.015 0.039 0.856 0.000 0.602 0.000 0.000 5.303




















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 43 0 0 61 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 1.39 0.00 0.00 -0.02
time (sec) N/A 0.015 0.003 0.848 0.000 0.561 0.000 0.000 0.000




















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 45 0 0 76 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 1.65 0.00 0.00 -0.02
time (sec) N/A 0.075 0.046 0.908 0.000 0.406 0.000 0.000 0.000




















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 45 0 0 79 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 1.72 0.00 0.00 -0.02
time (sec) N/A 0.045 0.005 0.882 0.000 0.420 0.000 0.000 0.000




















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 36 40 17 44 0 0 -1
normalized size 1 1.00 0.82 0.91 0.39 1.00 0.00 0.00 -0.02
time (sec) N/A 0.018 0.033 0.188 1.551 0.403 0.000 0.000 0.000




















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 36 40 17 44 0 0 -1
normalized size 1 1.00 0.82 0.91 0.39 1.00 0.00 0.00 -0.02
time (sec) N/A 0.017 0.033 0.079 1.495 0.399 0.000 0.000 0.000




















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 36 40 17 44 0 0 -1
normalized size 1 1.00 0.82 0.91 0.39 1.00 0.00 0.00 -0.02
time (sec) N/A 0.018 0.033 0.069 1.580 0.397 0.000 0.000 0.000




















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 47 0 0 47 0 0 -1
normalized size 1 1.00 0.82 0.00 0.00 0.82 0.00 0.00 -0.02
time (sec) N/A 0.028 0.023 0.720 0.000 0.407 0.000 0.000 0.000




















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 61 61 45 0 0 54 0 0 -1
normalized size 1 1.00 0.74 0.00 0.00 0.89 0.00 0.00 -0.02
time (sec) N/A 0.025 0.027 0.726 0.000 0.413 0.000 0.000 0.000




















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 39 39 40 0 0 76 0 0 -1
normalized size 1 1.00 1.03 0.00 0.00 1.95 0.00 0.00 -0.03
time (sec) N/A 0.050 0.026 1.269 0.000 0.417 0.000 0.000 0.000




















Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 38 0 0 64 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 1.60 0.00 0.00 -0.02
time (sec) N/A 0.074 0.045 0.869 0.000 0.413 0.000 0.000 0.000










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 [347] had the largest ratio of [.7778]

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 2 1 1.00 13 0.077







2 A 2 1 1.00 11 0.091







3 A 1 0 1.00 9 0.000







4 A 2 1 1.00 13 0.077







5 A 2 1 1.00 13 0.077







6 A 3 2 1.00 15 0.133







7 A 4 3 1.00 13 0.231







8 A 3 2 1.00 11 0.182







9 A 2 2 1.00 15 0.133







10 A 3 2 1.00 15 0.133







11 A 3 2 1.00 11 0.182







12 A 4 3 1.00 15 0.200







13 A 3 3 1.00 15 0.200







14 A 2 2 1.00 15 0.133







15 A 2 2 1.00 13 0.154







16 A 5 5 1.00 11 0.454







17 A 3 3 1.00 15 0.200







18 A 4 3 1.00 15 0.200







19 A 4 3 1.00 15 0.200







20 A 4 3 1.00 15 0.200







21 A 3 3 1.00 15 0.200







22 A 4 3 1.00 13 0.231







23 A 4 4 1.00 11 0.364







24 A 4 3 1.00 15 0.200







25 A 5 4 1.00 15 0.267







26 A 4 3 1.00 13 0.231







27 A 4 3 1.00 13 0.231







28 A 3 3 1.00 13 0.231







29 A 2 2 1.00 13 0.154







30 A 2 2 1.00 11 0.182







31 A 5 5 1.00 9 0.556







32 A 3 3 1.00 13 0.231







33 A 4 3 1.00 13 0.231







34 A 4 3 1.00 13 0.231







35 A 4 3 1.00 13 0.231







36 A 5 5 1.00 9 0.556







37 A 5 5 1.00 11 0.454







38 A 6 5 1.00 17 0.294







39 A 7 7 1.00 17 0.412







40 A 5 5 1.00 15 0.333







41 A 6 6 1.00 13 0.462







42 A 4 4 1.00 17 0.235







43 A 6 6 1.00 17 0.353







44 A 4 4 1.00 17 0.235







45 A 7 7 1.00 17 0.412







46 A 7 5 1.00 17 0.294







47 A 8 7 1.00 15 0.467







48 A 6 6 1.00 13 0.462







49 A 7 7 1.00 17 0.412







50 A 5 4 1.00 17 0.235







51 A 7 7 1.00 17 0.412







52 A 5 5 1.00 17 0.294







53 A 7 6 1.00 17 0.353







54 A 5 4 1.00 17 0.235







55 A 8 7 1.00 17 0.412







56 A 6 5 1.00 17 0.294







57 A 5 4 1.00 17 0.235







58 A 6 6 1.00 17 0.353







59 A 4 4 1.00 17 0.235







60 A 5 5 1.00 15 0.333







61 A 3 3 1.00 13 0.231







62 A 6 6 1.00 17 0.353







63 A 4 4 1.00 17 0.235







64 A 7 6 1.00 17 0.353







65 A 6 5 1.00 17 0.294







66 A 7 7 1.00 17 0.412







67 A 5 5 1.00 17 0.294







68 A 6 6 1.00 17 0.353







69 A 4 4 1.00 17 0.235







70 A 6 6 1.00 17 0.353







71 A 4 4 1.00 15 0.267







72 A 7 7 1.00 13 0.538







73 A 5 5 1.00 17 0.294







74 A 8 7 1.00 17 0.412







75 A 7 4 1.00 19 0.210







76 A 5 2 1.00 19 0.105







77 A 6 3 1.00 19 0.158







78 A 4 2 1.00 19 0.105







79 A 1 1 1.00 19 0.053







80 A 3 2 1.00 19 0.105







81 A 2 2 1.00 19 0.105







82 A 2 2 1.00 19 0.105







83 A 3 2 1.00 19 0.105







84 A 1 1 1.00 19 0.053







85 A 4 2 1.00 19 0.105







86 A 6 3 1.00 19 0.158







87 A 5 2 1.00 19 0.105







88 A 7 4 1.00 19 0.210







89 A 6 3 1.00 19 0.158







90 A 8 4 1.00 19 0.210







91 A 7 3 1.00 19 0.158







92 A 3 3 1.00 17 0.176







93 A 2 2 1.00 15 0.133







94 A 1 1 1.00 17 0.059







95 A 2 2 1.00 17 0.118







96 A 3 2 1.00 17 0.118







97 A 4 4 1.00 17 0.235







98 A 3 3 1.00 13 0.231







99 A 4 4 1.00 17 0.235







100 A 6 6 1.00 17 0.353







101 A 5 5 1.00 17 0.294







102 A 6 6 1.00 17 0.353







103 A 8 5 1.00 19 0.263







104 A 6 5 1.00 17 0.294







105 A 4 4 1.00 15 0.267







106 A 1 1 1.00 19 0.053







107 A 3 2 1.00 19 0.105







108 A 5 2 1.00 19 0.105







109 A 7 2 1.00 19 0.105







110 A 9 6 1.00 19 0.316







111 A 7 6 1.00 19 0.316







112 A 5 5 1.00 17 0.294







113 A 1 1 1.00 15 0.067







114 A 3 3 1.00 19 0.158







115 A 5 3 1.00 19 0.158







116 A 7 3 1.00 19 0.158







117 A 9 5 1.00 21 0.238







118 A 7 5 1.00 21 0.238







119 A 5 5 1.00 21 0.238







120 A 3 3 1.00 21 0.143







121 A 2 2 1.00 21 0.095







122 A 4 2 1.00 21 0.095







123 A 6 2 1.00 21 0.095







124 A 8 6 1.00 21 0.286







125 A 6 6 1.00 21 0.286







126 A 4 4 1.00 21 0.190







127 A 2 2 1.00 21 0.095







128 A 4 3 1.00 21 0.143







129 A 6 3 1.00 21 0.143







130 A 8 3 1.00 21 0.143







131 A 11 6 1.00 19 0.316







132 A 11 8 1.00 19 0.421







133 A 8 6 1.00 17 0.353







134 A 8 8 1.00 15 0.533







135 A 5 5 1.00 19 0.263







136 A 8 8 1.00 19 0.421







137 A 7 6 1.00 19 0.316







138 A 11 8 1.00 19 0.421







139 A 10 6 1.00 19 0.316







140 A 11 6 1.00 19 0.316







141 A 11 8 1.00 17 0.471







142 A 8 7 1.00 15 0.467







143 A 8 8 1.00 19 0.421







144 A 6 6 1.00 19 0.316







145 A 9 8 1.00 19 0.421







146 A 8 6 1.00 19 0.316







147 A 12 8 1.00 19 0.421







148 A 11 6 1.00 19 0.316







149 A 11 5 1.00 19 0.263







150 A 11 7 1.00 19 0.368







151 A 8 5 1.00 19 0.263







152 A 8 7 1.00 17 0.412







153 A 5 5 1.00 15 0.333







154 A 7 7 1.00 19 0.368







155 A 6 5 1.00 19 0.263







156 A 10 7 1.00 19 0.368







157 A 9 5 1.00 19 0.263







158 A 12 8 1.00 19 0.421







159 A 9 6 1.00 19 0.316







160 A 9 8 1.00 19 0.421







161 A 6 6 1.00 17 0.353







162 A 7 7 1.00 15 0.467







163 A 6 6 1.00 19 0.316







164 A 10 8 1.00 19 0.421







165 A 9 6 1.00 19 0.316







166 A 13 8 1.00 19 0.421







167 A 13 3 1.00 19 0.158







168 A 10 3 1.00 19 0.158







169 A 7 3 1.00 17 0.176







170 A 4 3 1.00 15 0.200







171 A 1 1 1.00 19 0.053







172 A 4 4 1.00 19 0.210







173 A 7 4 1.00 19 0.210







174 A 10 4 1.00 19 0.210







175 A 13 4 1.00 19 0.210







176 A 12 3 1.00 19 0.158







177 A 9 3 1.00 17 0.176







178 A 6 3 1.00 15 0.200







179 A 3 2 1.00 19 0.105







180 A 4 3 1.00 19 0.158







181 A 5 4 1.00 19 0.210







182 A 8 4 1.00 19 0.210







183 A 11 4 1.00 19 0.210







184 A 14 4 1.00 19 0.210







185 A 14 3 1.00 19 0.158







186 A 11 3 1.00 19 0.158







187 A 8 3 1.00 19 0.158







188 A 5 3 1.00 17 0.176







189 A 2 2 1.00 15 0.133







190 A 3 3 1.00 19 0.158







191 A 6 3 1.00 19 0.158







192 A 9 3 1.00 19 0.158







193 A 12 3 1.00 19 0.158







194 A 12 4 1.00 19 0.210







195 A 9 4 1.00 19 0.210







196 A 6 4 1.00 19 0.210







197 A 3 3 1.00 17 0.176







198 A 3 3 1.00 15 0.200







199 A 6 4 1.00 19 0.210







200 A 9 4 1.00 19 0.210







201 A 12 4 1.00 19 0.210







202 A 15 4 1.00 19 0.210







203 A 2 1 1.00 15 0.067







204 A 2 1 1.00 13 0.077







205 A 1 0 1.00 11 0.000







206 A 2 1 1.00 15 0.067







207 A 2 1 1.00 15 0.067







208 A 3 2 1.00 17 0.118







209 A 3 2 1.00 15 0.133







210 A 3 2 1.00 13 0.154







211 A 3 2 1.00 17 0.118







212 A 3 2 1.00 17 0.118







213 A 3 2 1.00 17 0.118







214 A 3 2 1.00 17 0.118







215 A 3 2 1.00 17 0.118







216 A 3 2 1.00 17 0.118







217 A 2 2 1.00 17 0.118







218 A 4 4 1.00 15 0.267







219 A 3 2 1.00 13 0.154







220 A 3 2 1.00 17 0.118







221 A 3 2 1.00 17 0.118







222 A 3 2 1.00 17 0.118







223 A 3 2 1.00 17 0.118







224 A 3 2 1.00 17 0.118







225 A 3 2 1.00 17 0.118







226 A 2 2 1.00 17 0.118







227 A 3 2 1.00 17 0.118







228 A 3 2 1.00 17 0.118







229 A 3 2 1.00 15 0.133







230 A 3 2 1.00 13 0.154







231 A 3 2 1.00 17 0.118







232 A 4 3 1.00 19 0.158







233 A 3 3 1.00 17 0.176







234 A 2 2 1.00 15 0.133







235 A 1 1 1.00 19 0.053







236 A 3 3 1.00 19 0.158







237 A 3 3 1.00 19 0.158







238 A 4 4 1.00 19 0.210







239 A 5 4 1.00 19 0.210







240 A 6 3 1.00 19 0.158







241 A 5 3 1.00 17 0.176







242 A 4 3 1.00 15 0.200







243 A 3 2 1.00 19 0.105







244 A 2 2 1.00 19 0.105







245 A 1 1 1.00 19 0.053







246 A 4 3 1.00 19 0.158







247 A 4 4 1.00 19 0.210







248 A 4 3 1.00 19 0.158







249 A 5 4 1.00 19 0.210







250 A 6 4 1.00 19 0.210







251 A 7 4 1.00 19 0.210







252 A 4 2 1.00 19 0.105







253 A 3 2 1.00 19 0.105







254 A 2 2 1.00 19 0.105







255 A 1 1 1.00 17 0.059







256 A 2 2 1.00 15 0.133







257 A 3 3 1.00 19 0.158







258 A 4 3 1.00 19 0.158







259 A 5 3 1.00 19 0.158







260 A 4 3 1.00 19 0.158







261 A 3 3 1.00 19 0.158







262 A 2 2 1.00 19 0.105







263 A 1 1 1.00 19 0.053







264 A 3 3 1.00 19 0.158







265 A 4 4 1.00 17 0.235







266 A 5 4 1.00 15 0.267







267 A 6 4 1.00 19 0.210







268 A 7 4 1.00 19 0.210







269 A 5 3 1.00 21 0.143







270 A 4 3 1.00 21 0.143







271 A 3 3 1.00 21 0.143







272 A 2 2 1.00 21 0.095







273 A 1 1 1.00 21 0.048







274 A 2 2 1.00 21 0.095







275 A 3 2 1.00 21 0.095







276 A 4 2 1.00 21 0.095







277 A 3 3 1.00 21 0.143







278 A 3 3 1.27 19 0.158







279 A 3 3 1.00 21 0.143







280 A 1 1 1.00 21 0.048







281 A 2 2 1.00 21 0.095







282 A 3 2 1.00 21 0.095







283 A 2 2 1.00 17 0.118







284 A 3 2 1.00 19 0.105







285 A 2 2 1.00 19 0.105







286 A 1 1 1.00 19 0.053







287 A 2 2 1.00 15 0.133







288 A 3 3 1.00 19 0.158







289 A 3 3 1.00 19 0.158







290 A 2 2 1.00 17 0.118







291 A 3 3 1.00 19 0.158







292 A 5 5 1.00 19 0.263







293 A 4 4 1.00 19 0.210







294 A 5 5 1.00 19 0.263







295 A 5 4 1.00 21 0.190







296 A 6 6 1.00 21 0.286







297 A 3 3 1.00 21 0.143







298 A 4 4 1.00 21 0.190







299 A 5 5 1.00 21 0.238







300 A 2 2 1.00 21 0.095







301 A 3 3 1.00 21 0.143







302 A 6 6 1.00 21 0.286







303 A 1 1 1.00 21 0.048







304 A 4 4 1.00 21 0.190







305 A 7 6 1.00 21 0.286







306 A 2 2 1.00 21 0.095







307 A 5 4 1.00 21 0.190







308 A 3 2 1.00 15 0.133







309 A 3 2 1.00 13 0.154







310 A 5 3 1.00 19 0.158







311 A 4 3 1.00 19 0.158







312 A 3 3 1.00 19 0.158







313 A 2 2 1.00 17 0.118







314 A 1 1 1.00 15 0.067







315 A 2 2 1.00 19 0.105







316 A 3 2 1.00 19 0.105







317 A 4 2 1.00 19 0.105







318 A 5 2 1.00 19 0.105







319 A 4 3 1.00 11 0.273







320 A 4 3 1.00 13 0.231







321 A 3 3 1.00 9 0.333







322 A 3 3 1.00 9 0.333







323 A 3 3 1.00 9 0.333







324 A 3 3 1.00 13 0.231







325 A 3 3 1.00 13 0.231







326 A 3 3 1.00 13 0.231







327 A 3 3 1.00 13 0.231







328 A 2 2 1.00 11 0.182







329 A 2 2 1.00 15 0.133







330 A 2 2 1.00 15 0.133







331 A 2 2 1.00 23 0.087







332 A 2 2 1.00 11 0.182







333 A 2 2 1.00 13 0.154







334 A 2 2 1.00 13 0.154







335 A 2 2 1.00 17 0.118







336 A 2 2 1.00 17 0.118







337 A 2 2 1.00 17 0.118







338 A 2 2 1.00 11 0.182







339 A 2 2 1.00 11 0.182







340 A 2 2 1.00 11 0.182







341 A 2 2 1.00 11 0.182







342 A 2 2 1.00 13 0.154







343 A 2 2 1.00 13 0.154







344 A 3 2 1.00 11 0.182







345 A 4 3 1.00 11 0.273







346 A 3 2 1.00 11 0.182







347 A 7 7 1.00 9 0.778







348 A 2 2 1.00 22 0.091







349 A 1 1 1.00 13 0.077







350 A 2 2 1.00 15 0.133







351 A 2 2 1.00 17 0.118







352 A 1 1 1.00 13 0.077







353 A 2 2 1.00 15 0.133







354 A 1 1 1.00 13 0.077







355 A 2 2 1.00 11 0.182







356 A 5 5 1.00 13 0.385







357 A 2 2 1.00 15 0.133







358 A 5 5 1.00 13 0.385







359 A 2 2 1.00 15 0.133







360 A 2 2 1.00 11 0.182







361 A 2 2 1.00 11 0.182







362 A 2 2 1.00 9 0.222







363 A 5 5 1.00 11 0.454







364 A 3 3 1.00 25 0.120







365 A 4 4 1.00 27 0.148







366 A 4 4 1.00 23 0.174







367 A 4 4 1.00 22 0.182







368 A 4 4 1.00 21 0.190







369 A 5 5 1.00 18 0.278







370 A 4 4 1.00 23 0.174







371 A 3 3 1.00 15 0.200







372 A 4 4 1.00 23 0.174







373 A 5 4 1.00 27 0.148







374 A 5 4 1.00 23 0.174







375 A 5 4 1.00 22 0.182







376 A 5 4 1.00 21 0.190







377 A 6 5 1.00 18 0.278







378 A 5 4 1.00 23 0.174







379 A 5 5 1.00 22 0.227







380 A 5 4 1.00 23 0.174







381 A 5 4 1.00 22 0.182







382 A 5 5 1.00 13 0.385







383 A 5 5 1.00 15 0.333







384 A 4 4 1.00 15 0.267







385 A 4 4 1.00 15 0.267







386 A 5 5 1.00 15 0.333







387 A 5 5 1.00 17 0.294







388 A 4 4 1.00 17 0.235







389 A 4 4 1.00 17 0.235







390 A 3 3 1.00 27 0.111







391 A 3 3 1.00 23 0.130







392 A 2 2 1.00 15 0.133







393 A 3 3 1.00 21 0.143







394 A 4 4 1.00 18 0.222







395 A 3 3 1.00 23 0.130







396 A 3 3 1.00 22 0.136







397 A 3 3 1.00 23 0.130







398 A 4 4 1.00 27 0.148







399 A 4 4 1.00 23 0.174







400 A 4 4 1.00 22 0.182







401 A 4 4 1.00 21 0.190







402 A 5 5 1.00 18 0.278







403 A 4 4 1.00 23 0.174







404 A 4 4 1.00 22 0.182







405 A 4 4 1.00 23 0.174







406 A 4 4 1.00 22 0.182







407 A 3 3 1.00 15 0.200







408 A 3 3 1.00 15 0.200







409 A 3 3 1.00 15 0.200







410 A 3 3 1.00 19 0.158







411 A 3 3 1.00 16 0.188







412 A 3 3 1.00 16 0.188







413 A 3 3 1.00 16 0.188







414 A 3 3 1.00 20 0.150







415 A 3 3 1.00 19 0.158







416 A 3 3 1.00 17 0.176







417 A 3 3 1.00 17 0.176







418 A 3 3 1.00 20 0.150







419 A 3 3 1.00 19 0.158







420 A 3 3 1.00 18 0.167







421 A 3 3 1.00 21 0.143







422 A 3 3 1.00 21 0.143







423 A 3 3 1.00 21 0.143







424 A 3 3 1.00 21 0.143







425 A 3 3 1.00 21 0.143







426 A 3 3 1.00 15 0.200







427 A 3 3 1.00 15 0.200







428 A 3 3 1.00 15 0.200







429 A 3 3 1.00 15 0.200







430 A 3 3 1.00 15 0.200







431 A 2 2 1.00 11 0.182







432 A 1 1 1.00 11 0.091







433 A 3 3 1.00 13 0.231







434 A 1 1 1.00 17 0.059







435 A 1 1 1.00 17 0.059







436 A 2 2 1.00 15 0.133







437 A 11 10 1.00 19 0.526







438 A 9 8 1.00 19 0.421







439 A 3 3 1.03 17 0.176







440 A 3 3 1.00 22 0.136







441 A 3 3 1.12 22 0.136







442 A 3 3 1.00 27 0.111







443 A 3 3 1.00 27 0.111







444 A 1 1 1.00 18 0.056







445 A 2 2 1.00 17 0.118







446 A 2 2 1.00 22 0.091







447 A 1 1 1.00 23 0.043







448 A 2 2 1.00 19 0.105







449 A 2 2 1.00 19 0.105







450 A 2 2 1.00 19 0.105







451 A 2 2 1.00 19 0.105







452 A 2 2 1.00 19 0.105







453 A 1 1 1.00 25 0.040







454 A 2 2 1.00 28 0.071