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, 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, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538 }

B grade: { }

C grade: { 35, 36, 37 }

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, 26, 27, 28, 29, 30, 31, 32, 33, 34, 38, 39, 40, 41, 42, 43, 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, 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, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 139, 141, 143, 145, 146, 147, 148, 149, 151, 152, 154, 156, 157, 158, 159, 160, 161, 163, 164, 165, 167, 169, 171, 172, 173, 174, 175, 177, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 204, 205, 206, 207, 208, 209, 222, 223, 224, 225, 226, 227, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 244, 252, 253, 254, 255, 256, 264, 265, 266, 273, 274, 275, 284, 285, 286, 288, 297, 298, 299, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 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, 361, 362, 363, 364, 365, 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, 453, 454, 455, 466, 467, 468, 469, 470, 471, 476, 483, 484, 485, 487, 492, 493, 494, 495, 500, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538 }

B grade: { 44, 87, 88, 126, 150, 153, 155, 176, 178, 183, 210, 221, 359, 360, 366, 496 }

C grade: { 35, 36, 37, 138, 140, 142, 144, 162, 166, 168, 170, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 228, 229, 230, 231, 243, 245, 246, 247, 248, 249, 250, 251, 257, 258, 259, 260, 261, 262, 263, 267, 268, 269, 270, 271, 272, 276, 277, 278, 279, 280, 281, 282, 283, 287, 289, 290, 291, 292, 293, 294, 295, 296, 300, 301, 302, 303, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 450, 451, 452, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 472, 473, 474, 475, 477, 478, 479, 480, 481, 482, 486, 488, 489, 490, 491, 497, 498, 499, 501, 502 }

F grade: { }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 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, 75, 77, 80, 81, 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, 111, 113, 115, 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, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 197, 200, 204, 206, 211, 212, 213, 214, 215, 216, 217, 232, 234, 239, 240, 252, 253, 254, 255, 256, 264, 265, 266, 267, 268, 269, 270, 273, 274, 275, 284, 285, 286, 291, 292, 294, 295, 297, 298, 299, 342, 357, 374, 388, 400, 410, 411, 412, 413, 424, 425, 426, 427, 437, 438, 439, 440, 453, 454, 455, 456, 457, 469, 470, 471, 476, 477, 478, 479 }

B grade: { 10, 74, 76, 78, 79, 82, 110, 112, 114, 116, 163, 196, 198, 199, 201, 202, 203, 205, 207, 208, 209, 210, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 233, 235, 236, 237, 238, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 257, 258, 259, 260, 261, 276, 277, 278, 279, 280, 281, 288, 293, 371, 372, 373, 375, 376, 377, 385, 386, 387, 389, 390, 397, 398, 399, 401, 402, 403, 414, 415, 416, 428, 429, 430, 441, 442, 443, 458, 459, 460, 461, 462, 463, 464, 465, 468, 480, 481, 482, 494 }

C grade: { 262, 263, 271, 272, 282, 283, 287, 289, 290, 296, 300, 301, 302, 303, 356, 378, 379, 380, 381, 382, 383, 384, 391, 392, 393, 394, 395, 396, 404, 405, 406, 407, 408, 409, 417, 418, 419, 420, 421, 422, 423, 431, 432, 433, 434, 435, 436, 444, 445, 446, 447, 448, 449, 450, 451, 452, 466, 467, 472, 473, 474, 475, 493, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537 }

F grade: { 33, 34, 35, 36, 37, 38, 39, 40, 41, 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, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 538 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 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, 76, 77, 78, 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, 112, 114, 115, 116, 118, 119, 120, 121, 122, 123, 124, 125, 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, 204, 205, 206, 207, 208, 209, 210, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 340, 341, 342, 355, 356, 357, 371, 372, 373, 374, 375, 376, 377, 385, 386, 387, 388, 389, 390, 397, 398, 399, 400, 401, 402, 403, 410, 411, 412, 413, 414, 415, 416, 424, 425, 426, 427, 428, 429, 430, 437, 438, 439, 440, 441, 442, 443, 492, 493, 494 }

B grade: { 75, 79, 111, 113, 117, 126 }

C grade: { }

F grade: { 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, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 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, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 378, 379, 380, 381, 382, 383, 384, 391, 392, 393, 394, 395, 396, 404, 405, 406, 407, 408, 409, 417, 418, 419, 420, 421, 422, 423, 431, 432, 433, 434, 435, 436, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 55, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 84, 85, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 105, 106, 107, 108, 109, 110, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 141, 142, 143, 144, 145, 146, 147, 148, 149, 151, 155, 157, 158, 159, 160, 161, 163, 165, 167, 169, 170, 171, 172, 173, 174, 175, 183, 187, 188, 189, 190, 191, 192, 193, 204, 205, 206, 207, 208, 209, 210, 221, 222, 223, 225, 231, 242, 251, 252, 253, 254, 255, 256, 264, 265, 266, 273, 274, 275, 284, 285, 286, 288, 297, 298, 299, 324, 327, 328, 329, 332, 333, 334, 335, 340, 341, 342, 355, 356, 357, 371, 372, 373, 374, 385, 386, 387, 388, 397, 398, 399, 400, 410, 411, 412, 413, 424, 425, 426, 427, 437, 438, 439, 440, 453, 454, 455, 468, 469, 470, 471, 492, 493, 494 }

B grade: { 53, 54, 63, 83, 86, 104, 111, 126, 127, 128, 140, 150, 152, 153, 154, 156, 162, 164, 166, 168, 176, 177, 178, 179, 180, 181, 182, 184, 185, 186, 224, 226, 227, 228, 229, 230, 243, 244, 245, 246, 247, 248, 249, 250, 262, 263, 271, 272, 282, 283, 287, 289, 290, 296, 300, 301, 302, 303, 375, 376, 377, 389, 390, 401, 402, 403, 414, 415, 416, 428, 429, 430, 441, 442, 443, 476 }

C grade: { }

F grade: { 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, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 257, 258, 259, 260, 261, 267, 268, 269, 270, 276, 277, 278, 279, 280, 281, 291, 292, 293, 294, 295, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 325, 326, 330, 331, 336, 337, 338, 339, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 378, 379, 380, 381, 382, 383, 384, 391, 392, 393, 394, 395, 396, 404, 405, 406, 407, 408, 409, 417, 418, 419, 420, 421, 422, 423, 431, 432, 433, 434, 435, 436, 444, 445, 446, 447, 448, 449, 450, 451, 452, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 472, 473, 474, 475, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 42, 43, 44, 49, 50, 51, 52, 58, 59, 60, 61, 66, 67, 68, 69, 70, 80, 81, 82, 83, 89, 90, 91, 92, 98, 99, 100, 101, 102, 103, 104, 120, 121, 122, 123, 124, 125, 133, 134, 135, 136, 137, 138, 139, 145, 146, 147, 148, 149, 150, 151, 157, 158, 159, 160, 161, 162, 163, 164, 165, 171, 172, 173, 174, 175, 176, 177, 178, 179, 186, 187, 188, 189, 190, 191, 204, 205, 206, 207, 252, 254, 340, 341, 342, 355, 356, 357 }

B grade: { 62, 185, 253, 256 }

C grade: { }

F grade: { 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, 45, 46, 47, 48, 53, 54, 55, 56, 57, 63, 64, 65, 71, 72, 73, 74, 75, 76, 77, 78, 79, 84, 85, 86, 87, 88, 93, 94, 95, 96, 97, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 126, 127, 128, 129, 130, 131, 132, 140, 141, 142, 143, 144, 152, 153, 154, 155, 156, 166, 167, 168, 169, 170, 180, 181, 182, 183, 184, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 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, 255, 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, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 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, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 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, 100, 101, 102, 103, 104, 110, 118, 123, 125, 133, 134, 135, 136, 137, 139, 140, 141, 142, 143, 144, 149, 151, 157, 158, 159, 160, 161, 163, 164, 165, 166, 167, 168, 169, 170, 177, 178, 179, 185, 186, 188, 189, 190, 191, 192, 193, 204, 205, 206, 207, 208, 209, 210, 252, 253, 254, 255, 256, 341, 342, 356, 357, 412, 426, 427, 439, 440 }

B grade: { 98, 99, 105, 106, 107, 108, 109, 111, 112, 113, 114, 115, 116, 117, 119, 120, 121, 122, 124, 126, 127, 128, 129, 130, 131, 132, 138, 145, 146, 147, 148, 150, 152, 153, 154, 155, 156, 162, 171, 172, 173, 174, 175, 176, 180, 181, 182, 183, 184, 226, 227, 228, 229, 230, 231, 247, 248, 249, 250, 251 }

C grade: { }

F grade: { 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, 187, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 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, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 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, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538 }

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, 28, 29, 39, 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, 207, 208, 209, 210, 221, 252, 253, 254, 255, 256, 264, 265, 266, 273, 274, 275, 284, 285, 286, 287, 288, 289, 290, 297, 298, 299, 300, 301, 302, 303, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 340, 341, 342, 355, 356, 357, 374, 381, 388, 399, 400, 413, 427, 440, 453, 454, 455, 468, 469, 470, 471, 476, 492, 493, 494, 511 }

C grade: { }

F grade: { 25, 26, 27, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 257, 258, 259, 260, 261, 262, 263, 267, 268, 269, 270, 271, 272, 276, 277, 278, 279, 280, 281, 282, 283, 291, 292, 293, 294, 295, 296, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 337, 338, 339, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 375, 376, 377, 378, 379, 380, 382, 383, 384, 385, 386, 387, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 472, 473, 474, 475, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538 }

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 11 11 22 12 11 11 14 11 11
normalized size 1 1.00 2.00 1.09 1.00 1.00 1.27 1.00 1.00
time (sec) N/A 0.004 0.076 0.047 0.899 0.429 0.174 0.289 0.020




















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 25 25 23 27 24 23 46 18 18
normalized size 1 1.00 0.92 1.08 0.96 0.92 1.84 0.72 0.72
time (sec) N/A 0.009 0.031 0.045 0.335 0.426 0.223 0.138 0.430




















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 27 27 29 22 22 22 37 25 24
normalized size 1 1.00 1.07 0.81 0.81 0.81 1.37 0.93 0.89
time (sec) N/A 0.010 0.010 0.120 0.327 0.432 0.475 0.131 0.353




















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 46 46 33 38 33 36 95 32 50
normalized size 1 1.00 0.72 0.83 0.72 0.78 2.07 0.70 1.09
time (sec) N/A 0.020 0.038 0.136 0.316 0.421 1.075 0.141 0.470




















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 42 42 44 32 34 34 60 38 32
normalized size 1 1.00 1.05 0.76 0.81 0.81 1.43 0.90 0.76
time (sec) N/A 0.013 0.012 0.103 0.319 0.414 1.879 0.138 0.358




















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 67 67 45 48 48 47 139 46 43
normalized size 1 1.00 0.67 0.72 0.72 0.70 2.07 0.69 0.64
time (sec) N/A 0.033 0.040 0.101 0.318 0.426 3.494 0.116 0.578




















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 54 54 59 42 44 44 80 50 43
normalized size 1 1.00 1.09 0.78 0.81 0.81 1.48 0.93 0.80
time (sec) N/A 0.016 0.008 0.100 0.325 0.432 6.079 0.116 0.375




















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 88 88 55 58 59 56 184 60 90
normalized size 1 1.00 0.62 0.66 0.67 0.64 2.09 0.68 1.02
time (sec) N/A 0.048 0.051 0.098 0.337 0.448 10.279 0.134 1.505




















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 45 84 0 0 0 0 34
normalized size 1 1.00 0.75 1.40 0.00 0.00 0.00 0.00 0.57
time (sec) N/A 0.027 0.202 0.171 0.000 0.465 0.000 0.000 0.483




















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 35 118 0 0 0 0 34
normalized size 1 1.00 0.85 2.88 0.00 0.00 0.00 0.00 0.83
time (sec) N/A 0.015 0.036 0.059 0.000 0.460 0.000 0.000 0.414




















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 33 72 0 0 0 0 34
normalized size 1 1.00 0.80 1.76 0.00 0.00 0.00 0.00 0.83
time (sec) N/A 0.015 0.033 0.053 0.000 0.458 0.000 0.000 0.404




















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 21 77 0 0 0 0 15
normalized size 1 1.00 1.11 4.05 0.00 0.00 0.00 0.00 0.79
time (sec) N/A 0.008 0.022 0.056 0.000 0.469 0.000 0.000 0.366




















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 19 19 21 57 0 0 0 0 15
normalized size 1 1.00 1.11 3.00 0.00 0.00 0.00 0.00 0.79
time (sec) N/A 0.008 0.024 0.069 0.000 0.425 0.000 0.000 0.387




















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 32 110 0 0 0 0 34
normalized size 1 1.00 0.86 2.97 0.00 0.00 0.00 0.00 0.92
time (sec) N/A 0.013 0.048 0.066 0.000 0.445 0.000 0.000 0.473




















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 33 72 0 0 0 0 34
normalized size 1 1.00 0.80 1.76 0.00 0.00 0.00 0.00 0.83
time (sec) N/A 0.015 0.047 0.055 0.000 0.429 0.000 0.000 0.585




















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 51 132 0 0 0 0 34
normalized size 1 1.00 0.85 2.20 0.00 0.00 0.00 0.00 0.57
time (sec) N/A 0.024 0.047 0.059 0.000 0.447 0.000 0.000 0.560




















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 55 104 0 0 0 0 42
normalized size 1 1.00 0.79 1.49 0.00 0.00 0.00 0.00 0.60
time (sec) N/A 0.029 0.113 0.047 0.000 0.453 0.000 0.000 0.488




















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 44 142 0 0 0 0 42
normalized size 1 1.00 0.94 3.02 0.00 0.00 0.00 0.00 0.89
time (sec) N/A 0.017 0.081 0.044 0.000 0.458 0.000 0.000 0.450




















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 40 88 0 0 0 0 42
normalized size 1 1.00 0.85 1.87 0.00 0.00 0.00 0.00 0.89
time (sec) N/A 0.016 0.037 0.043 0.000 0.423 0.000 0.000 0.440




















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 24 91 0 0 0 0 18
normalized size 1 1.00 1.14 4.33 0.00 0.00 0.00 0.00 0.86
time (sec) N/A 0.008 0.015 0.040 0.000 0.462 0.000 0.000 0.368




















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 24 69 0 0 0 0 18
normalized size 1 1.00 1.14 3.29 0.00 0.00 0.00 0.00 0.86
time (sec) N/A 0.008 0.018 0.033 0.000 0.418 0.000 0.000 0.377




















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 39 132 0 0 0 0 42
normalized size 1 1.00 0.91 3.07 0.00 0.00 0.00 0.00 0.98
time (sec) N/A 0.015 0.075 0.044 0.000 0.465 0.000 0.000 0.511




















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 47 47 43 88 0 0 0 0 42
normalized size 1 1.00 0.91 1.87 0.00 0.00 0.00 0.00 0.89
time (sec) N/A 0.016 0.102 0.046 0.000 0.450 0.000 0.000 0.613




















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 55 160 0 0 0 0 42
normalized size 1 1.00 0.79 2.29 0.00 0.00 0.00 0.00 0.60
time (sec) N/A 0.027 0.270 0.051 0.000 0.422 0.000 0.000 0.594




















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 80 108 0 0 0 0 -1
normalized size 1 1.00 0.78 1.05 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.052 0.151 0.069 0.000 0.434 0.000 0.000 0.000




















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 66 152 0 0 0 0 -1
normalized size 1 1.00 0.88 2.03 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.032 0.098 0.056 0.000 0.447 0.000 0.000 0.000




















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 62 97 0 0 0 0 -1
normalized size 1 1.00 0.83 1.29 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.033 0.050 0.054 0.000 0.468 0.000 0.000 0.000




















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 42 98 0 0 0 0 36
normalized size 1 1.00 0.98 2.28 0.00 0.00 0.00 0.00 0.84
time (sec) N/A 0.018 0.020 0.053 0.000 0.432 0.000 0.000 0.395




















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 42 74 0 0 0 0 36
normalized size 1 1.00 0.98 1.72 0.00 0.00 0.00 0.00 0.84
time (sec) N/A 0.018 0.026 0.046 0.000 0.424 0.000 0.000 0.485




















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 54 141 0 0 0 0 -1
normalized size 1 1.00 0.74 1.93 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.032 0.039 0.059 0.000 0.431 0.000 0.000 0.000




















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 55 105 0 0 0 0 -1
normalized size 1 1.00 0.71 1.36 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.033 0.064 0.057 0.000 0.465 0.000 0.000 0.000




















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 68 168 0 0 0 0 -1
normalized size 1 1.00 0.65 1.60 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.051 0.148 0.066 0.000 0.455 0.000 0.000 0.000




















Problem 33 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.014 0.058 0.151 0.000 0.453 0.000 0.000 0.000




















Problem 34 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.014 0.035 0.171 0.000 0.446 0.000 0.000 0.000




















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A C C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 517 58 55 0 0 0 0 0 -1
normalized size 1 0.11 0.11 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.014 0.033 0.090 0.000 0.481 0.000 0.000 0.000




















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A C C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 252 58 55 0 0 0 0 0 -1
normalized size 1 0.23 0.22 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.017 0.037 0.072 0.000 0.453 0.000 0.000 0.000




















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A C C F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 56 53 0 0 0 0 0 -1
normalized size 1 0.21 0.20 0.00 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.016 0.037 0.064 0.000 0.450 0.000 0.000 0.000




















Problem 38 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 56 56 53 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.017 0.038 0.050 0.000 0.443 0.000 0.000 0.000




















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 63 0 0 0 0 0 54
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.86
time (sec) N/A 0.016 0.040 0.667 0.000 0.473 0.000 0.000 0.783




















Problem 40 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 68 68 63 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 0.018 0.038 0.587 0.000 0.444 0.000 0.000 0.000




















Problem 41 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 81 81 76 0 0 0 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.030 0.074 1.083 0.000 0.484 0.000 0.000 0.000




















Problem 42 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 22 24 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 1.47 1.60 0.87
time (sec) N/A 0.019 0.004 0.020 0.326 0.418 1.375 0.209 0.056




















Problem 43 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 22 13 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 1.47 0.87 0.87
time (sec) N/A 0.021 0.004 0.013 0.321 0.429 0.686 0.206 0.037




















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 37 14 13 13 19 13 28
normalized size 1 1.00 2.47 0.93 0.87 0.87 1.27 0.87 1.87
time (sec) N/A 0.011 0.011 0.003 0.326 0.407 0.309 0.166 0.455




















Problem 45 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 12 12 12 12 18 14 0 18 16
normalized size 1 1.00 1.00 1.00 1.50 1.17 0.00 1.50 1.33
time (sec) N/A 0.004 0.007 0.007 0.373 0.448 0.000 0.212 0.506




















Problem 46 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 10 10 10 11 12 12 0 12 20
normalized size 1 1.00 1.00 1.10 1.20 1.20 0.00 1.20 2.00
time (sec) N/A 0.011 0.006 0.016 0.319 0.402 0.000 1.176 0.515




















Problem 47 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 15 15 15 14 17 13 0 13 13
normalized size 1 1.00 1.00 0.93 1.13 0.87 0.00 0.87 0.87
time (sec) N/A 0.019 0.009 0.018 0.316 0.449 0.000 0.222 0.382




















Problem 48 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 15 15 15 14 13 13 0 13 13
normalized size 1 1.00 1.00 0.93 0.87 0.87 0.00 0.87 0.87
time (sec) N/A 0.019 0.007 0.017 0.312 0.429 0.000 0.219 0.448




















Problem 49 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 61 61 47 60 46 53 88 54 45
normalized size 1 1.00 0.77 0.98 0.75 0.87 1.44 0.89 0.74
time (sec) N/A 0.043 0.145 0.055 0.307 0.452 19.100 0.202 0.398




















Problem 50 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 37 50 36 43 66 54 36
normalized size 1 1.00 0.80 1.09 0.78 0.93 1.43 1.17 0.78
time (sec) N/A 0.038 0.085 0.051 0.304 0.439 8.515 0.195 0.399




















Problem 51 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 27 40 26 33 44 26 26
normalized size 1 1.00 0.87 1.29 0.84 1.06 1.42 0.84 0.84
time (sec) N/A 0.035 0.056 0.049 0.314 0.423 3.020 0.395 0.359




















Problem 52 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 21 20 13 13
normalized size 1 1.00 1.00 0.93 0.87 1.40 1.33 0.87 0.87
time (sec) N/A 0.018 0.003 0.005 0.307 0.442 0.710 0.227 0.023




















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 23 19 18 31 0 18 14
normalized size 1 1.00 1.64 1.36 1.29 2.21 0.00 1.29 1.00
time (sec) N/A 0.008 0.006 0.026 0.426 0.419 0.000 0.191 0.375




















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 22 13 29 0 13 13
normalized size 1 1.00 1.00 1.47 0.87 1.93 0.00 0.87 0.87
time (sec) N/A 0.030 0.006 0.033 0.319 0.418 0.000 0.231 0.381




















Problem 55 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 31 31 56 42 26 39 0 26 25
normalized size 1 1.00 1.81 1.35 0.84 1.26 0.00 0.84 0.81
time (sec) N/A 0.034 0.037 0.035 0.342 0.414 0.000 0.420 0.387




















Problem 56 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 46 46 77 60 36 51 0 36 35
normalized size 1 1.00 1.67 1.30 0.78 1.11 0.00 0.78 0.76
time (sec) N/A 0.039 0.036 0.034 0.319 0.419 0.000 0.293 0.407




















Problem 57 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 61 61 98 78 46 61 0 46 45
normalized size 1 1.00 1.61 1.28 0.75 1.00 0.00 0.75 0.74
time (sec) N/A 0.040 0.032 0.037 0.315 0.444 0.000 0.416 0.405




















Problem 58 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 88 88 52 64 48 57 189 60 89
normalized size 1 1.00 0.59 0.73 0.55 0.65 2.15 0.68 1.01
time (sec) N/A 0.066 0.125 0.052 0.317 0.426 15.099 0.539 1.517




















Problem 59 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 67 67 40 54 37 47 136 46 43
normalized size 1 1.00 0.60 0.81 0.55 0.70 2.03 0.69 0.64
time (sec) N/A 0.051 0.076 0.054 0.310 0.436 5.055 0.416 0.558




















Problem 60 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 23 43 24 36 92 18 50
normalized size 1 1.00 0.50 0.93 0.52 0.78 2.00 0.39 1.09
time (sec) N/A 0.040 0.030 0.020 0.312 0.431 1.454 0.175 0.460




















Problem 61 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 23 27 24 23 46 18 18
normalized size 1 1.00 0.92 1.08 0.96 0.92 1.84 0.72 0.72
time (sec) N/A 0.009 0.009 0.000 0.313 0.414 0.349 0.210 0.002




















Problem 62 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 23 23 23 31 34 36 3160 36 27
normalized size 1 1.00 1.00 1.35 1.48 1.57 137.39 1.57 1.17
time (sec) N/A 0.015 0.009 0.027 0.321 0.449 55.346 0.251 0.457




















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 34 34 34 53 46 61 0 48 69
normalized size 1 1.00 1.00 1.56 1.35 1.79 0.00 1.41 2.03
time (sec) N/A 0.023 0.014 0.028 0.319 0.424 0.000 0.530 1.225




















Problem 64 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 55 55 55 74 65 71 0 82 125
normalized size 1 1.00 1.00 1.35 1.18 1.29 0.00 1.49 2.27
time (sec) N/A 0.045 0.041 0.031 0.337 0.451 0.000 0.255 6.539




















Problem 65 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 76 76 76 95 91 84 0 73 177
normalized size 1 1.00 1.00 1.25 1.20 1.11 0.00 0.96 2.33
time (sec) N/A 0.059 0.059 0.036 0.322 0.435 0.000 0.270 7.325




















Problem 66 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 48 34 36 26 44 27 25
normalized size 1 1.00 1.55 1.10 1.16 0.84 1.42 0.87 0.81
time (sec) N/A 0.033 0.116 0.021 0.319 0.429 14.211 0.197 0.373




















Problem 67 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 27 34 26 26 46 27 26
normalized size 1 1.00 0.87 1.10 0.84 0.84 1.48 0.87 0.84
time (sec) N/A 0.034 0.086 0.023 0.314 0.411 8.874 0.188 0.378




















Problem 68 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 35 34 26 26 44 26 37
normalized size 1 1.00 1.13 1.10 0.84 0.84 1.42 0.84 1.19
time (sec) N/A 0.033 0.014 0.020 0.336 0.449 4.327 0.202 0.511




















Problem 69 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 27 34 26 26 46 27 26
normalized size 1 1.00 0.87 1.10 0.84 0.84 1.48 0.87 0.84
time (sec) N/A 0.032 0.054 0.023 0.321 0.440 2.455 0.181 0.344




















Problem 70 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 24 20 13 13
normalized size 1 1.00 1.00 0.93 0.87 1.60 1.33 0.87 0.87
time (sec) N/A 0.018 0.003 0.006 0.315 0.454 1.319 0.178 0.368




















Problem 71 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 28 28 25 27 25 25 0 29 25
normalized size 1 1.00 0.89 0.96 0.89 0.89 0.00 1.04 0.89
time (sec) N/A 0.021 0.016 0.029 0.311 0.439 0.000 0.508 0.429




















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-2) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 21 21 21 40 19 22 0 23 20
normalized size 1 1.00 1.00 1.90 0.90 1.05 0.00 1.10 0.95
time (sec) N/A 0.021 0.020 0.029 0.320 0.426 0.000 0.435 0.486




















Problem 73 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 27 27 25 26 31 34 0 42 27
normalized size 1 1.00 0.93 0.96 1.15 1.26 0.00 1.56 1.00
time (sec) N/A 0.011 0.023 0.032 0.318 0.455 0.000 0.331 0.383




















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 27 60 25 25 0 25 23
normalized size 1 1.00 1.00 2.22 0.93 0.93 0.00 0.93 0.85
time (sec) N/A 0.020 0.023 0.033 0.399 0.421 0.000 0.530 0.448




















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 22 39 25 0 25 13
normalized size 1 1.00 1.00 1.47 2.60 1.67 0.00 1.67 0.87
time (sec) N/A 0.028 0.005 0.035 0.316 0.415 0.000 0.240 0.383




















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 78 25 25 0 25 25
normalized size 1 1.00 1.00 2.52 0.81 0.81 0.00 0.81 0.81
time (sec) N/A 0.032 0.044 0.033 0.330 0.418 0.000 0.244 0.540




















Problem 77 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 31 31 28 42 49 25 0 25 25
normalized size 1 1.00 0.90 1.35 1.58 0.81 0.00 0.81 0.81
time (sec) N/A 0.033 0.032 0.036 0.337 0.402 0.000 0.273 0.398




















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 31 96 25 25 0 25 25
normalized size 1 1.00 1.00 3.10 0.81 0.81 0.00 0.81 0.81
time (sec) N/A 0.032 0.026 0.038 0.324 0.428 0.000 0.234 0.631




















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 28 60 59 25 0 25 35
normalized size 1 1.00 0.90 1.94 1.90 0.81 0.00 0.81 1.13
time (sec) N/A 0.032 0.033 0.037 0.316 0.397 0.000 0.343 0.418




















Problem 80 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 61 61 47 78 46 63 88 82 45
normalized size 1 1.00 0.77 1.28 0.75 1.03 1.44 1.34 0.74
time (sec) N/A 0.040 0.185 0.026 0.322 0.470 49.838 0.239 0.379




















Problem 81 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 37 68 36 53 66 68 36
normalized size 1 1.00 0.80 1.48 0.78 1.15 1.43 1.48 0.78
time (sec) N/A 0.036 0.108 0.024 0.368 0.417 20.520 0.221 0.383




















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 27 58 26 41 44 26 26
normalized size 1 1.00 0.87 1.87 0.84 1.32 1.42 0.84 0.84
time (sec) N/A 0.032 0.069 0.024 0.316 0.421 7.363 0.242 0.032




















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 31 20 13 13
normalized size 1 1.00 1.00 0.93 0.87 2.07 1.33 0.87 0.87
time (sec) N/A 0.018 0.003 0.014 0.355 0.429 2.247 0.223 0.359




















Problem 84 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 40 40 31 54 41 42 0 41 38
normalized size 1 1.00 0.78 1.35 1.02 1.05 0.00 1.02 0.95
time (sec) N/A 0.039 0.101 0.029 0.430 0.427 0.000 0.362 0.479




















Problem 85 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 28 28 38 28 29 46 0 29 24
normalized size 1 1.00 1.36 1.00 1.04 1.64 0.00 1.04 0.86
time (sec) N/A 0.016 0.008 0.033 0.422 0.454 0.000 0.251 0.401




















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 22 13 39 0 13 13
normalized size 1 1.00 1.00 1.47 0.87 2.60 0.00 0.87 0.87
time (sec) N/A 0.028 0.007 0.035 0.320 0.404 0.000 0.203 0.411




















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 77 42 26 49 0 26 25
normalized size 1 1.00 2.48 1.35 0.84 1.58 0.00 0.84 0.81
time (sec) N/A 0.032 0.030 0.037 0.322 0.420 0.000 0.251 0.398




















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 98 60 36 61 0 36 35
normalized size 1 1.00 2.13 1.30 0.78 1.33 0.00 0.78 0.76
time (sec) N/A 0.036 0.034 0.037 0.454 0.441 0.000 0.253 0.428




















Problem 89 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 111 111 62 82 48 66 231 74 109
normalized size 1 1.00 0.56 0.74 0.43 0.59 2.08 0.67 0.98
time (sec) N/A 0.097 0.180 0.025 0.692 0.443 32.101 1.869 1.936




















Problem 90 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 90 90 33 72 33 56 189 32 90
normalized size 1 1.00 0.37 0.80 0.37 0.62 2.10 0.36 1.00
time (sec) N/A 0.083 0.044 0.025 0.401 0.549 13.087 1.130 1.504




















Problem 91 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 40 61 37 46 136 46 43
normalized size 1 1.00 0.58 0.88 0.54 0.67 1.97 0.67 0.62
time (sec) N/A 0.068 0.054 0.021 0.456 0.412 4.565 0.323 0.524




















Problem 92 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 33 38 33 36 95 32 50
normalized size 1 1.00 0.72 0.83 0.72 0.78 2.07 0.70 1.09
time (sec) N/A 0.020 0.009 0.000 0.330 0.436 1.240 0.177 0.424




















Problem 93 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 38 38 38 44 46 48 0 48 53
normalized size 1 1.00 1.00 1.16 1.21 1.26 0.00 1.26 1.39
time (sec) N/A 0.027 0.013 0.027 0.581 0.461 0.000 0.562 0.581




















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 49 49 40 66 56 74 0 58 98
normalized size 1 1.00 0.82 1.35 1.14 1.51 0.00 1.18 2.00
time (sec) N/A 0.029 0.090 0.035 0.403 0.452 0.000 0.862 3.969




















Problem 95 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 55 55 45 87 71 74 0 63 126
normalized size 1 1.00 0.82 1.58 1.29 1.35 0.00 1.15 2.29
time (sec) N/A 0.042 0.115 0.036 0.511 0.466 0.000 0.392 6.585




















Problem 96 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 78 78 99 108 91 84 0 73 177
normalized size 1 1.00 1.27 1.38 1.17 1.08 0.00 0.94 2.27
time (sec) N/A 0.075 0.026 0.039 0.532 0.441 0.000 0.535 7.380




















Problem 97 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 99 99 64 129 111 94 0 107 229
normalized size 1 1.00 0.65 1.30 1.12 0.95 0.00 1.08 2.31
time (sec) N/A 0.089 0.290 0.041 0.400 0.471 0.000 1.020 7.442




















Problem 98 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 46 46 68 52 46 36 65 85 35
normalized size 1 1.00 1.48 1.13 1.00 0.78 1.41 1.85 0.76
time (sec) N/A 0.041 0.332 0.026 0.386 0.446 71.135 0.257 0.409




















Problem 99 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 46 46 37 52 36 36 68 82 36
normalized size 1 1.00 0.80 1.13 0.78 0.78 1.48 1.78 0.78
time (sec) N/A 0.036 0.265 0.026 0.357 0.482 47.179 0.248 0.409




















Problem 100 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 50 52 36 36 65 43 36
normalized size 1 1.00 1.09 1.13 0.78 0.78 1.41 0.93 0.78
time (sec) N/A 0.040 0.027 0.022 0.306 0.458 30.080 0.223 0.477




















Problem 101 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 37 52 36 36 68 68 36
normalized size 1 1.00 0.80 1.13 0.78 0.78 1.48 1.48 0.78
time (sec) N/A 0.036 0.116 0.023 0.355 0.432 20.093 0.247 0.376




















Problem 102 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 48 52 26 36 65 26 26
normalized size 1 1.00 1.55 1.68 0.84 1.16 2.10 0.84 0.84
time (sec) N/A 0.032 0.091 0.022 0.376 0.430 12.763 0.520 0.383




















Problem 103 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 37 52 36 36 68 54 36
normalized size 1 1.00 0.80 1.13 0.78 0.78 1.48 1.17 0.78
time (sec) N/A 0.035 0.079 0.024 0.440 0.438 7.502 0.210 0.370




















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 34 20 13 13
normalized size 1 1.00 1.00 0.93 0.87 2.27 1.33 0.87 0.87
time (sec) N/A 0.017 0.004 0.004 0.331 0.426 4.045 0.175 0.047




















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 35 40 37 35 0 226 53
normalized size 1 1.00 0.88 1.00 0.92 0.88 0.00 5.65 1.32
time (sec) N/A 0.026 0.029 0.029 0.366 0.526 0.000 0.332 0.537




















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 39 50 32 33 0 99 31
normalized size 1 1.00 1.05 1.35 0.86 0.89 0.00 2.68 0.84
time (sec) N/A 0.034 0.025 0.028 0.322 0.491 0.000 0.314 0.495




















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 33 60 41 54 0 182 37
normalized size 1 1.00 0.77 1.40 0.95 1.26 0.00 4.23 0.86
time (sec) N/A 0.038 0.035 0.032 0.316 0.495 0.000 0.298 0.404




















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 38 70 35 35 0 100 35
normalized size 1 1.00 1.00 1.84 0.92 0.92 0.00 2.63 0.92
time (sec) N/A 0.025 0.022 0.032 0.321 0.424 0.000 0.242 0.535




















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 37 40 54 44 0 226 38
normalized size 1 1.00 0.86 0.93 1.26 1.02 0.00 5.26 0.88
time (sec) N/A 0.021 0.041 0.035 0.671 0.441 0.000 0.249 0.397




















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 41 88 35 35 0 72 35
normalized size 1 1.00 1.00 2.15 0.85 0.85 0.00 1.76 0.85
time (sec) N/A 0.023 0.026 0.034 0.302 0.417 0.000 0.233 0.542




















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 22 59 35 0 48 13
normalized size 1 1.00 1.00 1.47 3.93 2.33 0.00 3.20 0.87
time (sec) N/A 0.027 0.008 0.036 0.370 0.424 0.000 0.367 0.422




















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 106 35 35 0 116 35
normalized size 1 1.00 1.00 2.30 0.76 0.76 0.00 2.52 0.76
time (sec) N/A 0.036 0.029 0.037 0.753 0.431 0.000 0.259 0.594




















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 38 42 69 35 0 93 25
normalized size 1 1.00 1.23 1.35 2.23 1.13 0.00 3.00 0.81
time (sec) N/A 0.031 0.051 0.048 0.355 0.423 0.000 0.307 0.416




















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 124 35 35 0 160 35
normalized size 1 1.00 1.00 2.70 0.76 0.76 0.00 3.48 0.76
time (sec) N/A 0.035 0.031 0.034 0.298 0.415 0.000 0.222 0.767




















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 38 60 79 35 0 139 35
normalized size 1 1.00 0.83 1.30 1.72 0.76 0.00 3.02 0.76
time (sec) N/A 0.039 0.052 0.040 0.331 0.421 0.000 0.320 0.442




















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 46 142 35 35 0 204 35
normalized size 1 1.00 1.00 3.09 0.76 0.76 0.00 4.43 0.76
time (sec) N/A 0.035 0.030 0.041 0.452 0.447 0.000 0.297 1.022




















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 38 78 89 35 0 183 45
normalized size 1 1.00 0.83 1.70 1.93 0.76 0.00 3.98 0.98
time (sec) N/A 0.040 0.126 0.043 0.386 0.426 0.000 0.379 0.420




















Problem 118 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 66 66 52 79 66 84 0 68 147
normalized size 1 1.00 0.79 1.20 1.00 1.27 0.00 1.03 2.23
time (sec) N/A 0.047 0.168 0.035 0.480 0.452 0.000 0.342 7.242




















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 50 96 45 45 0 144 50
normalized size 1 1.00 1.00 1.92 0.90 0.90 0.00 2.88 1.00
time (sec) N/A 0.028 0.029 0.037 0.401 0.437 0.000 0.275 0.540




















Problem 120 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 53 53 75 58 56 60 1085 145 88
normalized size 1 1.00 1.42 1.09 1.06 1.13 20.47 2.74 1.66
time (sec) N/A 0.029 0.027 0.033 0.317 0.434 8.156 0.269 5.370




















Problem 121 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 40 40 40 39 35 35 1086 170 66
normalized size 1 1.00 1.00 0.98 0.88 0.88 27.15 4.25 1.65
time (sec) N/A 0.027 0.013 0.026 0.401 0.451 6.543 0.268 0.504




















Problem 122 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 38 38 60 45 46 50 473 101 62
normalized size 1 1.00 1.58 1.18 1.21 1.32 12.45 2.66 1.63
time (sec) N/A 0.026 0.024 0.024 0.436 0.465 2.999 0.185 1.685




















Problem 123 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 26 25 25 369 25 35
normalized size 1 1.00 1.00 0.96 0.93 0.93 13.67 0.93 1.30
time (sec) N/A 0.021 0.012 0.028 0.540 0.439 2.345 0.568 0.414




















Problem 124 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 23 23 42 32 34 38 92 57 35
normalized size 1 1.00 1.83 1.39 1.48 1.65 4.00 2.48 1.52
time (sec) N/A 0.015 0.015 0.024 0.360 0.442 1.308 0.241 0.462




















Problem 125 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 11 11 19 12 11 13 17 12 26
normalized size 1 1.00 1.73 1.09 1.00 1.18 1.55 1.09 2.36
time (sec) N/A 0.004 0.008 0.004 0.298 0.423 0.606 0.208 0.406




















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A B B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 11 11 31 12 28 30 0 56 11
normalized size 1 1.00 2.82 1.09 2.55 2.73 0.00 5.09 1.00
time (sec) N/A 0.010 0.021 0.037 0.379 0.449 0.000 0.243 0.386




















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 42 34 36 52 0 55 23
normalized size 1 1.00 1.83 1.48 1.57 2.26 0.00 2.39 1.00
time (sec) N/A 0.022 0.025 0.038 0.308 0.503 0.000 0.268 0.084




















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 36 26 40 56 0 124 35
normalized size 1 1.00 1.33 0.96 1.48 2.07 0.00 4.59 1.30
time (sec) N/A 0.020 0.029 0.040 0.477 0.518 0.000 0.230 0.096




















Problem 129 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 38 38 57 47 50 67 0 101 33
normalized size 1 1.00 1.50 1.24 1.32 1.76 0.00 2.66 0.87
time (sec) N/A 0.026 0.021 0.041 0.310 0.454 0.000 0.212 0.394




















Problem 130 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 39 39 46 39 65 67 0 170 46
normalized size 1 1.00 1.18 1.00 1.67 1.72 0.00 4.36 1.18
time (sec) N/A 0.026 0.084 0.040 0.553 0.464 0.000 0.271 0.409




















Problem 131 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 53 53 72 60 60 77 0 145 45
normalized size 1 1.00 1.36 1.13 1.13 1.45 0.00 2.74 0.85
time (sec) N/A 0.028 0.021 0.043 0.459 0.504 0.000 0.661 0.403




















Problem 132 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 57 57 56 52 85 77 0 214 56
normalized size 1 1.00 0.98 0.91 1.49 1.35 0.00 3.75 0.98
time (sec) N/A 0.031 0.137 0.046 0.400 0.492 0.000 0.342 0.400




















Problem 133 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 62 42 43 82 42 43
normalized size 1 1.00 1.00 1.24 0.84 0.86 1.64 0.84 0.86
time (sec) N/A 0.038 0.023 0.021 0.384 0.420 8.667 0.256 0.475




















Problem 134 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 61 61 41 66 63 52 119 55 47
normalized size 1 1.00 0.67 1.08 1.03 0.85 1.95 0.90 0.77
time (sec) N/A 0.046 0.129 0.020 0.585 0.448 5.336 0.200 0.589




















Problem 135 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 38 52 32 33 61 32 35
normalized size 1 1.00 1.00 1.37 0.84 0.87 1.61 0.84 0.92
time (sec) N/A 0.034 0.016 0.021 0.369 0.414 3.249 0.249 0.448




















Problem 136 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 31 56 43 40 75 43 43
normalized size 1 1.00 0.78 1.40 1.08 1.00 1.88 1.08 1.08
time (sec) N/A 0.037 0.124 0.023 0.849 0.429 1.771 0.171 0.568




















Problem 137 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 23 42 20 22 39 20 23
normalized size 1 1.00 1.00 1.83 0.87 0.96 1.70 0.87 1.00
time (sec) N/A 0.020 0.011 0.019 0.390 0.423 1.399 0.227 0.446




















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 29 21 18 29 29 35 15
normalized size 1 1.00 1.93 1.40 1.20 1.93 1.93 2.33 1.00
time (sec) N/A 0.008 0.013 0.021 0.634 0.436 1.082 0.184 0.411




















Problem 139 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 11 11 11 14 13 13 20 13 13
normalized size 1 1.00 1.00 1.27 1.18 1.18 1.82 1.18 1.18
time (sec) N/A 0.009 0.007 0.005 0.440 0.446 1.022 0.588 0.419




















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 23 23 27 33 36 50 0 38 22
normalized size 1 1.00 1.17 1.43 1.57 2.17 0.00 1.65 0.96
time (sec) N/A 0.022 0.014 0.029 0.412 0.464 0.000 0.344 0.021




















Problem 141 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 22 22 13 31 22 33 0 16 14
normalized size 1 1.00 0.59 1.41 1.00 1.50 0.00 0.73 0.64
time (sec) N/A 0.030 0.009 0.064 0.492 0.411 0.000 0.700 0.393




















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 27 55 61 85 0 63 48
normalized size 1 1.00 0.55 1.12 1.24 1.73 0.00 1.29 0.98
time (sec) N/A 0.043 0.012 0.038 0.418 0.439 0.000 0.349 0.429




















Problem 143 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 38 38 46 50 32 43 0 32 33
normalized size 1 1.00 1.21 1.32 0.84 1.13 0.00 0.84 0.87
time (sec) N/A 0.037 0.031 0.038 0.472 0.414 0.000 0.192 0.412




















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 27 76 79 95 0 73 67
normalized size 1 1.00 0.39 1.09 1.13 1.36 0.00 1.04 0.96
time (sec) N/A 0.047 0.013 0.041 0.441 0.450 0.000 0.688 0.094




















Problem 145 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 58 58 45 74 45 71 1484 231 85
normalized size 1 1.00 0.78 1.28 0.78 1.22 25.59 3.98 1.47
time (sec) N/A 0.044 0.095 0.021 0.525 0.472 12.973 0.255 0.694




















Problem 146 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 66 66 103 81 66 93 719 163 129
normalized size 1 1.00 1.56 1.23 1.00 1.41 10.89 2.47 1.95
time (sec) N/A 0.045 0.035 0.023 0.469 0.449 11.079 0.600 1.346




















Problem 147 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 43 43 35 61 35 61 614 187 62
normalized size 1 1.00 0.81 1.42 0.81 1.42 14.28 4.35 1.44
time (sec) N/A 0.039 0.058 0.022 0.536 0.445 4.831 0.273 0.462




















Problem 148 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 49 49 86 68 56 83 241 140 77
normalized size 1 1.00 1.76 1.39 1.14 1.69 4.92 2.86 1.57
time (sec) N/A 0.029 0.025 0.025 0.327 0.453 3.925 0.313 0.539




















Problem 149 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 34 27 23 41 42 36 36
normalized size 1 1.00 1.21 0.96 0.82 1.46 1.50 1.29 1.29
time (sec) N/A 0.013 0.076 0.023 0.389 0.456 1.497 0.177 0.429




















Problem 150 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 34 34 75 55 46 72 58 93 48
normalized size 1 1.00 2.21 1.62 1.35 2.12 1.71 2.74 1.41
time (sec) N/A 0.023 0.025 0.020 0.581 0.443 1.607 0.224 0.449




















Problem 151 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 18 24 13 13
normalized size 1 1.00 1.00 0.93 0.87 1.20 1.60 0.87 0.87
time (sec) N/A 0.018 0.011 0.006 0.633 1.201 1.460 0.196 0.392




















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 34 26 36 65 0 119 34
normalized size 1 1.00 1.26 0.96 1.33 2.41 0.00 4.41 1.26
time (sec) N/A 0.022 0.036 0.032 0.352 0.437 0.000 0.331 0.050




















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 143 57 61 96 0 140 49
normalized size 1 1.00 2.92 1.16 1.24 1.96 0.00 2.86 1.00
time (sec) N/A 0.043 0.225 0.033 0.294 0.454 0.000 0.395 0.034




















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 61 48 64 102 0 188 39
normalized size 1 1.00 1.42 1.12 1.49 2.37 0.00 4.37 0.91
time (sec) N/A 0.038 0.012 0.038 0.304 0.434 0.000 0.247 0.379




















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 205 78 73 112 0 163 60
normalized size 1 1.00 3.11 1.18 1.11 1.70 0.00 2.47 0.91
time (sec) N/A 0.043 0.390 0.039 0.295 0.442 0.000 0.217 0.458




















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 56 69 82 112 0 232 74
normalized size 1 1.00 0.97 1.19 1.41 1.93 0.00 4.00 1.28
time (sec) N/A 0.043 0.206 0.038 0.298 0.488 0.000 0.253 0.438




















Problem 157 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 68 90 56 68 105 56 55
normalized size 1 1.00 1.00 1.32 0.82 1.00 1.54 0.82 0.81
time (sec) N/A 0.044 0.030 0.060 0.359 0.434 22.233 0.216 0.525




















Problem 158 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 80 80 53 94 75 89 141 68 56
normalized size 1 1.00 0.66 1.18 0.94 1.11 1.76 0.85 0.70
time (sec) N/A 0.048 0.264 0.056 0.458 0.439 14.834 0.171 1.583




















Problem 159 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 53 53 53 80 44 56 82 41 45
normalized size 1 1.00 1.00 1.51 0.83 1.06 1.55 0.77 0.85
time (sec) N/A 0.040 0.023 0.021 0.323 0.419 9.588 0.212 0.479




















Problem 160 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 43 84 55 79 97 55 46
normalized size 1 1.00 0.75 1.47 0.96 1.39 1.70 0.96 0.81
time (sec) N/A 0.041 0.167 0.022 0.430 0.441 6.722 0.735 0.725




















Problem 161 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 37 37 37 68 35 48 63 35 32
normalized size 1 1.00 1.00 1.84 0.95 1.30 1.70 0.95 0.86
time (sec) N/A 0.025 0.017 0.023 0.424 0.424 3.762 0.209 0.450




















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 27 27 33 26 34 69 48 62 24
normalized size 1 1.00 1.22 0.96 1.26 2.56 1.78 2.30 0.89
time (sec) N/A 0.017 0.009 0.023 0.430 0.425 2.537 0.227 0.451




















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 26 26 26 60 25 38 42 25 22
normalized size 1 1.00 1.00 2.31 0.96 1.46 1.62 0.96 0.85
time (sec) N/A 0.021 0.012 0.024 0.300 0.416 2.263 0.180 0.434




















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 22 13 34 71 13 13
normalized size 1 1.00 1.00 1.47 0.87 2.27 4.73 0.87 0.87
time (sec) N/A 0.029 0.006 0.022 0.435 0.447 2.614 0.228 0.383




















Problem 165 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 26 24 13 13
normalized size 1 1.00 1.00 0.93 0.87 1.73 1.60 0.87 0.87
time (sec) N/A 0.018 0.009 0.005 0.319 0.422 1.573 0.571 0.426




















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 31 46 50 94 0 52 32
normalized size 1 1.00 0.82 1.21 1.32 2.47 0.00 1.37 0.84
time (sec) N/A 0.026 0.013 0.033 0.356 0.423 0.000 0.233 0.025




















Problem 167 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 37 37 45 50 35 54 0 35 36
normalized size 1 1.00 1.22 1.35 0.95 1.46 0.00 0.95 0.97
time (sec) N/A 0.035 0.031 0.035 0.532 0.442 0.000 0.219 0.418




















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A A B F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 31 76 73 130 0 72 61
normalized size 1 1.00 0.47 1.15 1.11 1.97 0.00 1.09 0.92
time (sec) N/A 0.042 0.014 0.040 0.312 0.437 0.000 0.536 0.382




















Problem 169 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 53 53 43 68 44 66 0 31 45
normalized size 1 1.00 0.81 1.28 0.83 1.25 0.00 0.58 0.85
time (sec) N/A 0.038 0.010 0.046 0.321 0.498 0.000 0.263 0.461




















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A A A F A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 31 97 91 140 0 85 79
normalized size 1 1.00 0.35 1.09 1.02 1.57 0.00 0.96 0.89
time (sec) N/A 0.049 0.014 0.049 0.351 0.481 0.000 0.604 0.448




















Problem 171 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 69 69 55 107 56 100 1664 277 92
normalized size 1 1.00 0.80 1.55 0.81 1.45 24.12 4.01 1.33
time (sec) N/A 0.048 0.106 0.026 0.448 0.538 27.693 0.436 1.420




















Problem 172 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 89 89 141 115 89 132 869 209 157
normalized size 1 1.00 1.58 1.29 1.00 1.48 9.76 2.35 1.76
time (sec) N/A 0.050 0.041 0.023 0.347 0.474 18.450 0.242 0.549




















Problem 173 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 58 58 47 95 49 90 733 232 74
normalized size 1 1.00 0.81 1.64 0.84 1.55 12.64 4.00 1.28
time (sec) N/A 0.043 0.150 0.022 0.481 0.480 11.568 0.289 0.642




















Problem 174 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 70 70 123 102 79 122 330 164 105
normalized size 1 1.00 1.76 1.46 1.13 1.74 4.71 2.34 1.50
time (sec) N/A 0.036 0.029 0.023 0.438 0.468 6.829 0.272 0.581




















Problem 175 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 42 42 46 39 38 70 61 164 52
normalized size 1 1.00 1.10 0.93 0.90 1.67 1.45 3.90 1.24
time (sec) N/A 0.021 0.100 0.022 0.346 0.431 3.045 0.249 0.422




















Problem 176 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 55 55 113 89 71 112 92 139 78
normalized size 1 1.00 2.05 1.62 1.29 2.04 1.67 2.53 1.42
time (sec) N/A 0.042 0.029 0.024 0.352 0.458 4.161 0.594 0.488




















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 22 25 39 44 25 25
normalized size 1 1.00 1.00 1.47 1.67 2.60 2.93 1.67 1.67
time (sec) N/A 0.028 0.005 0.022 0.780 0.439 2.898 0.277 0.394




















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 113 76 65 111 58 98 48
normalized size 1 1.00 2.05 1.38 1.18 2.02 1.05 1.78 0.87
time (sec) N/A 0.045 0.033 0.022 0.341 0.451 3.952 0.310 0.466




















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 15 15 15 14 13 27 24 13 23
normalized size 1 1.00 1.00 0.93 0.87 1.80 1.60 0.87 1.53
time (sec) N/A 0.018 0.009 0.006 0.375 0.420 2.679 0.303 0.409




















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 44 39 51 105 0 165 79
normalized size 1 1.00 1.10 0.98 1.28 2.62 0.00 4.12 1.98
time (sec) N/A 0.027 0.109 0.032 0.432 0.438 0.000 0.330 0.442




















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 129 78 79 132 0 163 66
normalized size 1 1.00 1.84 1.11 1.13 1.89 0.00 2.33 0.94
time (sec) N/A 0.043 3.988 0.033 0.342 0.464 0.000 0.225 0.390




















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 54 69 74 138 0 232 82
normalized size 1 1.00 0.93 1.19 1.28 2.38 0.00 4.00 1.41
time (sec) N/A 0.040 0.302 0.048 0.501 0.449 0.000 0.628 0.469




















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 268 99 91 148 0 209 78
normalized size 1 1.00 3.01 1.11 1.02 1.66 0.00 2.35 0.88
time (sec) N/A 0.046 0.437 0.051 0.367 0.454 0.000 0.376 0.071




















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 91 90 92 148 0 278 64
normalized size 1 1.00 1.32 1.30 1.33 2.14 0.00 4.03 0.93
time (sec) N/A 0.046 0.014 0.051 0.524 0.415 0.000 0.381 0.415




















Problem 185 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 17 17 27 22 14 33 29 14 19
normalized size 1 1.00 1.59 1.29 0.82 1.94 1.71 0.82 1.12
time (sec) N/A 0.026 0.021 0.017 0.312 0.414 0.070 0.228 0.084




















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 17 17 17 22 14 30 15 14 13
normalized size 1 1.00 1.00 1.29 0.82 1.76 0.88 0.82 0.76
time (sec) N/A 0.026 0.008 0.018 0.306 0.426 0.113 0.201 0.439




















Problem 187 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 19 18 24 34 0 18
normalized size 1 1.00 1.00 0.86 0.82 1.09 1.55 0.00 0.82
time (sec) N/A 0.025 0.035 0.019 0.538 0.434 52.072 0.000 0.128




















Problem 188 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 19 18 21 34 18 18
normalized size 1 1.00 1.00 0.86 0.82 0.95 1.55 0.82 0.82
time (sec) N/A 0.022 0.018 0.014 0.457 0.439 1.667 1.339 0.423




















Problem 189 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 20 19 18 18 32 18 18
normalized size 1 1.00 1.00 0.95 0.90 0.90 1.60 0.90 0.90
time (sec) N/A 0.023 0.013 0.016 0.402 0.419 1.547 0.189 0.525




















Problem 190 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 20 19 18 26 31 18 37
normalized size 1 1.00 1.00 0.95 0.90 1.30 1.55 0.90 1.85
time (sec) N/A 0.026 0.022 0.013 0.526 0.416 5.956 0.838 0.183




















Problem 191 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 19 18 26 32 26 53
normalized size 1 1.00 1.00 0.86 0.82 1.18 1.45 1.18 2.41
time (sec) N/A 0.027 0.025 0.015 0.535 0.411 56.235 0.814 0.807




















Problem 192 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 22 22 22 19 18 26 0 26 65
normalized size 1 1.00 1.00 0.86 0.82 1.18 0.00 1.18 2.95
time (sec) N/A 0.026 0.039 0.014 0.471 0.428 0.000 0.868 6.709




















Problem 193 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 22 22 22 19 18 26 0 26 65
normalized size 1 1.00 1.00 0.86 0.82 1.18 0.00 1.18 2.95
time (sec) N/A 0.027 0.059 0.014 0.303 0.441 0.000 0.989 4.036




















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 60 249 0 0 0 0 -1
normalized size 1 1.00 0.48 1.98 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.101 0.130 0.137 0.000 0.464 0.000 0.000 0.000




















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 60 236 0 0 0 0 -1
normalized size 1 1.00 0.48 1.87 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.098 0.128 0.080 0.000 0.458 0.000 0.000 0.000




















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 57 223 0 0 0 0 -1
normalized size 1 1.00 0.58 2.28 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.078 0.049 0.086 0.000 0.448 0.000 0.000 0.000




















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 57 208 0 0 0 0 -1
normalized size 1 1.00 0.58 2.12 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.079 0.064 0.079 0.000 0.466 0.000 0.000 0.000




















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 58 194 0 0 0 0 -1
normalized size 1 1.00 0.84 2.81 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.056 0.086 0.085 0.000 0.450 0.000 0.000 0.000




















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 58 188 0 0 0 0 -1
normalized size 1 1.00 0.84 2.72 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.058 0.100 0.072 0.000 0.432 0.000 0.000 0.000




















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 60 168 0 0 0 0 -1
normalized size 1 1.00 0.88 2.47 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.064 0.084 0.093 0.000 0.432 0.000 0.000 0.000




















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 60 242 0 0 0 0 -1
normalized size 1 1.00 0.83 3.36 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.064 0.079 0.104 0.000 0.433 0.000 0.000 0.000




















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 59 365 0 0 0 0 -1
normalized size 1 1.00 0.59 3.65 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.082 0.064 0.128 0.000 0.458 0.000 0.000 0.000




















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 59 396 0 0 0 0 -1
normalized size 1 1.00 0.59 3.96 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.082 0.062 0.099 0.000 0.428 0.000 0.000 0.000




















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 57 63 36 34 65 37 -1
normalized size 1 1.00 1.27 1.40 0.80 0.76 1.44 0.82 -0.02
time (sec) N/A 0.042 0.305 0.062 0.312 0.429 12.456 21.876 0.000




















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 57 92 36 28 63 40 -1
normalized size 1 1.00 1.33 2.14 0.84 0.65 1.47 0.93 -0.02
time (sec) N/A 0.046 0.175 0.051 0.413 0.444 6.172 1.026 0.000




















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 46 70 35 36 61 41 -1
normalized size 1 1.00 1.07 1.63 0.81 0.84 1.42 0.95 -0.02
time (sec) N/A 0.051 0.074 0.119 0.385 0.417 6.510 1.321 0.000




















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 48 85 34 38 63 47 66
normalized size 1 1.00 1.12 1.98 0.79 0.88 1.47 1.09 1.53
time (sec) N/A 0.052 0.095 0.148 0.406 0.436 55.338 1.304 1.064




















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 70 98 37 38 0 51 93
normalized size 1 1.00 1.63 2.28 0.86 0.88 0.00 1.19 2.16
time (sec) N/A 0.051 0.248 0.244 0.456 0.426 0.000 1.361 3.666




















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 70 111 37 38 0 51 93
normalized size 1 1.00 1.56 2.47 0.82 0.84 0.00 1.13 2.07
time (sec) N/A 0.050 0.271 0.250 0.302 0.409 0.000 1.577 3.780




















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B A A F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 45 45 94 124 37 38 0 51 279
normalized size 1 1.00 2.09 2.76 0.82 0.84 0.00 1.13 6.20
time (sec) N/A 0.051 0.528 0.291 0.544 0.433 0.000 1.398 5.330




















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 57 275 0 0 0 0 -1
normalized size 1 1.00 0.37 1.76 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.149 0.126 0.119 0.000 0.474 0.000 0.000 0.000




















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 57 262 0 0 0 0 -1
normalized size 1 1.00 0.37 1.68 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.147 0.090 0.107 0.000 0.479 0.000 0.000 0.000




















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 65 249 0 0 0 0 -1
normalized size 1 1.00 0.51 1.95 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.126 0.075 0.109 0.000 0.436 0.000 0.000 0.000




















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 65 255 0 0 0 0 -1
normalized size 1 1.00 0.51 1.99 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.133 0.108 0.108 0.000 0.426 0.000 0.000 0.000




















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 58 221 0 0 0 0 -1
normalized size 1 1.00 0.59 2.23 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.096 0.061 0.102 0.000 0.436 0.000 0.000 0.000




















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 58 208 0 0 0 0 -1
normalized size 1 1.00 0.59 2.10 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.098 0.075 0.100 0.000 0.427 0.000 0.000 0.000




















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 60 213 0 0 0 0 -1
normalized size 1 1.00 0.60 2.13 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.105 0.066 0.110 0.000 0.420 0.000 0.000 0.000




















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 60 286 0 0 0 0 -1
normalized size 1 1.00 0.59 2.80 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.106 0.066 0.109 0.000 0.436 0.000 0.000 0.000




















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 65 366 0 0 0 0 -1
normalized size 1 1.00 0.64 3.59 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.113 0.058 0.159 0.000 0.446 0.000 0.000 0.000




















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 65 398 0 0 0 0 -1
normalized size 1 1.00 0.64 3.90 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.111 0.064 0.116 0.000 0.411 0.000 0.000 0.000




















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B A A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 111 103 36 44 0 0 35
normalized size 1 1.00 2.13 1.98 0.69 0.85 0.00 0.00 0.67
time (sec) N/A 0.035 0.261 0.129 0.311 0.446 0.000 0.000 0.636




















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 83 318 98 313 0 0 -1
normalized size 1 1.00 0.83 3.18 0.98 3.13 0.00 0.00 -0.01
time (sec) N/A 0.077 0.187 0.200 0.434 0.585 0.000 0.000 0.000




















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 80 280 98 299 0 0 -1
normalized size 1 1.00 0.81 2.83 0.99 3.02 0.00 0.00 -0.01
time (sec) N/A 0.071 0.179 0.176 0.433 0.625 0.000 0.000 0.000




















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 68 244 83 281 0 0 -1
normalized size 1 1.00 0.87 3.13 1.06 3.60 0.00 0.00 -0.01
time (sec) N/A 0.065 0.104 0.181 0.602 0.595 0.000 0.000 0.000




















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 65 204 83 259 0 0 -1
normalized size 1 1.00 0.84 2.65 1.08 3.36 0.00 0.00 -0.01
time (sec) N/A 0.063 0.061 0.171 0.438 0.579 0.000 0.000 0.000




















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 51 179 67 238 0 106 -1
normalized size 1 1.00 0.88 3.09 1.16 4.10 0.00 1.83 -0.02
time (sec) N/A 0.051 0.036 0.172 0.442 0.514 0.000 1.154 0.000




















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 50 177 68 246 0 105 -1
normalized size 1 1.00 0.85 3.00 1.15 4.17 0.00 1.78 -0.02
time (sec) N/A 0.051 0.037 0.198 0.415 0.522 0.000 1.585 0.000




















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B A B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 36 422 79 309 0 156 -1
normalized size 1 1.00 0.46 5.41 1.01 3.96 0.00 2.00 -0.01
time (sec) N/A 0.067 0.052 0.327 0.553 0.513 0.000 1.119 0.000




















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 38 624 80 318 0 203 -1
normalized size 1 1.00 0.47 7.70 0.99 3.93 0.00 2.51 -0.01
time (sec) N/A 0.064 0.048 0.308 0.469 0.514 0.000 1.291 0.000




















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 38 882 100 342 0 341 -1
normalized size 1 1.00 0.38 8.82 1.00 3.42 0.00 3.41 -0.01
time (sec) N/A 0.078 0.057 0.320 0.468 0.504 0.000 1.459 0.000




















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 38 1086 102 342 0 436 -1
normalized size 1 1.00 0.37 10.54 0.99 3.32 0.00 4.23 -0.01
time (sec) N/A 0.075 0.066 0.372 0.585 0.522 0.000 1.384 0.000




















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 89 242 0 0 0 0 -1
normalized size 1 1.00 0.72 1.95 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.101 0.356 0.276 0.000 0.450 0.000 0.000 0.000




















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 74 229 0 0 0 0 -1
normalized size 1 1.00 0.77 2.39 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.082 0.236 0.266 0.000 0.491 0.000 0.000 0.000




















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 73 216 0 0 0 0 -1
normalized size 1 1.00 0.76 2.25 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.081 0.220 0.245 0.000 0.460 0.000 0.000 0.000




















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 58 203 0 0 0 0 -1
normalized size 1 1.00 0.88 3.08 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.063 0.135 0.252 0.000 0.440 0.000 0.000 0.000




















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 56 190 0 0 0 0 -1
normalized size 1 1.00 0.85 2.88 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.064 0.094 0.264 0.000 0.495 0.000 0.000 0.000




















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 56 203 0 0 0 0 -1
normalized size 1 1.00 0.86 3.12 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.057 0.078 0.362 0.000 0.646 0.000 0.000 0.000




















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 64 64 47 188 0 0 0 0 -1
normalized size 1 1.00 0.73 2.94 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.058 0.078 0.261 0.000 0.895 0.000 0.000 0.000




















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 65 209 0 0 0 0 -1
normalized size 1 1.00 0.69 2.22 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.080 0.168 0.328 0.000 0.566 0.000 0.000 0.000




















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 62 190 0 0 0 0 -1
normalized size 1 1.00 0.63 1.94 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.083 0.137 0.377 0.000 0.447 0.000 0.000 0.000




















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 82 408 0 0 0 0 -1
normalized size 1 1.00 0.65 3.24 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.102 0.160 0.389 0.000 0.447 0.000 0.000 0.000




















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 137 433 133 419 0 0 -1
normalized size 1 1.00 1.01 3.21 0.99 3.10 0.00 0.00 -0.01
time (sec) N/A 0.089 2.173 0.296 0.582 0.680 0.000 0.000 0.000




















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B A B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 78 394 118 405 0 0 -1
normalized size 1 1.00 0.69 3.49 1.04 3.58 0.00 0.00 -0.01
time (sec) N/A 0.082 0.635 0.310 0.710 0.652 0.000 0.000 0.000




















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 118 327 118 393 0 0 -1
normalized size 1 1.00 1.04 2.89 1.04 3.48 0.00 0.00 -0.01
time (sec) N/A 0.080 1.159 0.285 2.311 0.623 0.000 0.000 0.000




















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B A B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 65 300 103 380 0 0 -1
normalized size 1 1.00 0.71 3.30 1.13 4.18 0.00 0.00 -0.01
time (sec) N/A 0.073 0.286 0.408 0.699 0.529 0.000 0.000 0.000




















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B A B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 76 294 103 347 0 0 -1
normalized size 1 1.00 0.84 3.23 1.13 3.81 0.00 0.00 -0.01
time (sec) N/A 0.071 0.178 0.278 0.626 0.518 0.000 0.000 0.000




















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B A B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 62 289 102 340 0 178 -1
normalized size 1 1.00 0.67 3.11 1.10 3.66 0.00 1.91 -0.01
time (sec) N/A 0.066 0.252 0.279 0.603 0.496 0.000 1.552 0.000




















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B A B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 69 297 103 334 0 181 -1
normalized size 1 1.00 0.74 3.19 1.11 3.59 0.00 1.95 -0.01
time (sec) N/A 0.065 0.216 0.283 0.505 0.517 0.000 1.318 0.000




















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B A B F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 91 705 117 406 0 361 -1
normalized size 1 1.00 0.79 6.13 1.02 3.53 0.00 3.14 -0.01
time (sec) N/A 0.083 0.245 0.539 0.874 0.504 0.000 1.177 0.000




















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B A B F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 92 909 117 418 0 279 -1
normalized size 1 1.00 0.80 7.90 1.02 3.63 0.00 2.43 -0.01
time (sec) N/A 0.083 0.363 0.465 0.486 0.544 0.000 1.318 0.000




















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B A A F(-1) B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 102 1165 134 438 0 417 -1
normalized size 1 1.00 0.74 8.50 0.98 3.20 0.00 3.04 -0.01
time (sec) N/A 0.092 0.472 0.520 0.618 0.542 0.000 1.414 0.000




















Problem 252 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 19 18 21 34 21 18
normalized size 1 1.00 1.00 0.86 0.82 0.95 1.55 0.95 0.82
time (sec) N/A 0.022 0.020 0.014 1.060 0.435 28.388 1.164 0.097




















Problem 253 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 21 21 18 14 13 14 167 13 25
normalized size 1 1.00 0.86 0.67 0.62 0.67 7.95 0.62 1.19
time (sec) N/A 0.024 0.014 0.066 0.316 0.421 37.160 0.310 0.474




















Problem 254 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 21 21 18 14 13 20 24 13 25
normalized size 1 1.00 0.86 0.67 0.62 0.95 1.14 0.62 1.19
time (sec) N/A 0.024 0.033 0.055 0.312 0.421 66.230 0.309 0.470




















Problem 255 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 21 21 18 14 13 20 0 13 25
normalized size 1 1.00 0.86 0.67 0.62 0.95 0.00 0.62 1.19
time (sec) N/A 0.025 0.012 0.053 0.321 0.447 0.000 0.569 0.447




















Problem 256 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 19 19 16 14 13 12 323 13 25
normalized size 1 1.00 0.84 0.74 0.68 0.63 17.00 0.68 1.32
time (sec) N/A 0.023 0.009 0.059 0.360 0.430 32.714 0.351 0.438




















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 70 532 0 0 0 0 -1
normalized size 1 1.00 0.53 4.03 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.160 0.089 0.291 0.000 0.453 0.000 0.000 0.000




















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 70 518 0 0 0 0 -1
normalized size 1 1.00 0.74 5.45 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.103 0.084 0.177 0.000 0.452 0.000 0.000 0.000




















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 67 505 0 0 0 0 -1
normalized size 1 1.00 1.26 9.53 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.049 0.061 0.135 0.000 0.449 0.000 0.000 0.000




















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 70 493 0 0 0 0 -1
normalized size 1 1.00 0.75 5.30 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.107 0.102 0.169 0.000 0.416 0.000 0.000 0.000




















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 70 528 0 0 0 0 -1
normalized size 1 1.00 0.52 3.94 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.163 0.131 0.186 0.000 0.423 0.000 0.000 0.000




















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 320 320 70 514 0 2205 0 0 -1
normalized size 1 1.00 0.22 1.61 0.00 6.89 0.00 0.00 -0.00
time (sec) N/A 0.295 0.111 0.116 0.000 46.859 0.000 0.000 0.000




















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 280 280 67 271 0 2003 0 0 -1
normalized size 1 1.00 0.24 0.97 0.00 7.15 0.00 0.00 -0.00
time (sec) N/A 0.189 0.058 0.112 0.000 49.212 0.000 0.000 0.000




















Problem 264 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 37 37 37 38 0 42 0 0 50
normalized size 1 1.00 1.00 1.03 0.00 1.14 0.00 0.00 1.35
time (sec) N/A 0.053 0.077 0.136 0.000 0.456 0.000 0.000 0.987




















Problem 265 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 75 75 57 50 0 54 0 0 95
normalized size 1 1.00 0.76 0.67 0.00 0.72 0.00 0.00 1.27
time (sec) N/A 0.113 0.218 0.144 0.000 0.477 0.000 0.000 2.063




















Problem 266 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 112 112 67 60 0 64 0 0 216
normalized size 1 1.00 0.60 0.54 0.00 0.57 0.00 0.00 1.93
time (sec) N/A 0.171 0.228 0.213 0.000 0.570 0.000 0.000 6.208




















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 71 216 0 0 0 0 -1
normalized size 1 1.00 0.54 1.65 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.179 0.117 0.200 0.000 0.470 0.000 0.000 0.000




















Problem 268 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 93 93 67 182 0 0 0 0 -1
normalized size 1 1.00 0.72 1.96 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.117 0.080 0.148 0.000 0.458 0.000 0.000 0.000




















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 67 186 0 0 0 0 -1
normalized size 1 1.00 0.68 1.90 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.123 0.160 0.123 0.000 0.462 0.000 0.000 0.000




















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 70 215 0 0 0 0 -1
normalized size 1 1.00 0.53 1.62 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.186 0.143 0.142 0.000 0.459 0.000 0.000 0.000




















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 320 320 67 656 0 1868 0 0 -1
normalized size 1 1.00 0.21 2.05 0.00 5.84 0.00 0.00 -0.00
time (sec) N/A 0.281 0.065 0.112 0.000 27.196 0.000 0.000 0.000




















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 313 313 67 642 0 1865 0 0 -1
normalized size 1 1.00 0.21 2.05 0.00 5.96 0.00 0.00 -0.00
time (sec) N/A 0.276 0.153 0.128 0.000 27.414 0.000 0.000 0.000




















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 40 38 0 50 0 0 64
normalized size 1 1.00 1.08 1.03 0.00 1.35 0.00 0.00 1.73
time (sec) N/A 0.060 0.106 0.102 0.000 0.461 0.000 0.000 1.505




















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 57 50 0 61 0 0 207
normalized size 1 1.00 0.54 0.47 0.00 0.58 0.00 0.00 1.95
time (sec) N/A 0.184 0.288 0.106 0.000 0.537 0.000 0.000 6.162




















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 67 60 0 73 0 0 193
normalized size 1 1.00 0.48 0.43 0.00 0.52 0.00 0.00 1.37
time (sec) N/A 0.240 0.309 0.158 0.000 0.672 0.000 0.000 6.674




















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 166 166 72 545 0 0 0 0 -1
normalized size 1 1.00 0.43 3.28 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.235 0.170 0.164 0.000 0.513 0.000 0.000 0.000




















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 70 532 0 0 0 0 -1
normalized size 1 1.00 0.53 4.06 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.176 0.178 0.112 0.000 0.471 0.000 0.000 0.000




















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 67 519 0 0 0 0 -1
normalized size 1 1.00 0.71 5.46 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.108 0.090 0.151 0.000 0.456 0.000 0.000 0.000




















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 67 508 0 0 0 0 -1
normalized size 1 1.00 0.71 5.40 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.120 0.120 0.127 0.000 0.476 0.000 0.000 0.000




















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 133 133 70 531 0 0 0 0 -1
normalized size 1 1.00 0.53 3.99 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.174 0.171 0.142 0.000 0.474 0.000 0.000 0.000




















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 72 544 0 0 0 0 -1
normalized size 1 1.00 0.43 3.24 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.240 0.172 0.119 0.000 0.462 0.000 0.000 0.000




















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 320 320 67 510 0 2074 0 0 -1
normalized size 1 1.00 0.21 1.59 0.00 6.48 0.00 0.00 -0.00
time (sec) N/A 0.258 0.117 0.148 0.000 55.064 0.000 0.000 0.000




















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 315 315 67 532 0 2268 0 0 -1
normalized size 1 1.00 0.21 1.69 0.00 7.20 0.00 0.00 -0.00
time (sec) N/A 0.266 0.124 0.126 0.000 54.204 0.000 0.000 0.000




















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 37 37 40 38 0 60 0 0 89
normalized size 1 1.00 1.08 1.03 0.00 1.62 0.00 0.00 2.41
time (sec) N/A 0.060 0.143 0.098 0.000 0.538 0.000 0.000 1.778




















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 57 50 0 74 0 0 176
normalized size 1 1.00 0.54 0.47 0.00 0.70 0.00 0.00 1.66
time (sec) N/A 0.175 0.286 0.105 0.000 0.616 0.000 0.000 6.335




















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 67 60 0 87 0 0 207
normalized size 1 1.00 0.48 0.43 0.00 0.62 0.00 0.00 1.47
time (sec) N/A 0.235 0.467 0.153 0.000 0.859 0.000 0.000 6.430




















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 226 226 57 692 0 1282 0 0 44
normalized size 1 1.00 0.25 3.06 0.00 5.67 0.00 0.00 0.19
time (sec) N/A 0.149 0.055 0.160 0.000 26.088 0.000 0.000 2.048




















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 33 0 16 0 0 53
normalized size 1 1.00 1.00 2.06 0.00 1.00 0.00 0.00 3.31
time (sec) N/A 0.023 0.019 0.063 0.000 0.438 0.000 0.000 0.862




















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 122 122 38 166 0 447 0 0 25
normalized size 1 1.00 0.31 1.36 0.00 3.66 0.00 0.00 0.20
time (sec) N/A 0.082 0.013 0.061 0.000 0.809 0.000 0.000 0.721




















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 38 2595 0 457 0 0 25
normalized size 1 1.00 0.27 18.15 0.00 3.20 0.00 0.00 0.17
time (sec) N/A 0.114 0.011 0.149 0.000 0.831 0.000 0.000 0.809




















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 70 216 0 0 0 0 -1
normalized size 1 1.00 0.53 1.64 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.178 0.101 0.140 0.000 0.454 0.000 0.000 0.000




















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 92 92 68 188 0 0 0 0 -1
normalized size 1 1.00 0.74 2.04 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.113 0.107 0.115 0.000 0.512 0.000 0.000 0.000




















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 65 151 0 0 0 0 -1
normalized size 1 1.00 1.23 2.85 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.055 0.058 0.104 0.000 0.478 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(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 97 97 65 184 0 0 0 0 -1
normalized size 1 1.00 0.67 1.90 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.114 0.099 0.126 0.000 0.484 0.000 0.000 0.000




















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 70 212 0 0 0 0 -1
normalized size 1 1.00 0.52 1.58 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.172 0.118 0.164 0.000 0.460 0.000 0.000 0.000




















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 280 280 65 312 0 1697 0 0 -1
normalized size 1 1.00 0.23 1.11 0.00 6.06 0.00 0.00 -0.00
time (sec) N/A 0.177 0.058 0.114 0.000 26.976 0.000 0.000 0.000




















Problem 297 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 35 35 36 38 0 39 0 0 31
normalized size 1 1.00 1.03 1.09 0.00 1.11 0.00 0.00 0.89
time (sec) N/A 0.054 0.058 0.105 0.000 0.515 0.000 0.000 0.815




















Problem 298 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 75 75 52 50 0 51 0 0 77
normalized size 1 1.00 0.69 0.67 0.00 0.68 0.00 0.00 1.03
time (sec) N/A 0.111 0.149 0.113 0.000 0.500 0.000 0.000 1.493




















Problem 299 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 112 112 67 60 0 61 0 0 123
normalized size 1 1.00 0.60 0.54 0.00 0.54 0.00 0.00 1.10
time (sec) N/A 0.169 0.209 0.126 0.000 0.598 0.000 0.000 3.826




















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 55 292 0 1185 0 0 44
normalized size 1 1.00 0.32 1.68 0.00 6.81 0.00 0.00 0.25
time (sec) N/A 0.089 0.024 0.120 0.000 25.910 0.000 0.000 1.599




















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 199 199 55 937 0 1545 0 0 44
normalized size 1 1.00 0.28 4.71 0.00 7.76 0.00 0.00 0.22
time (sec) N/A 0.114 0.032 0.108 0.000 50.207 0.000 0.000 1.625




















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 201 201 57 1261 0 1321 0 0 44
normalized size 1 1.00 0.28 6.27 0.00 6.57 0.00 0.00 0.22
time (sec) N/A 0.115 0.030 0.123 0.000 25.845 0.000 0.000 1.901




















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F B F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 226 226 57 1934 0 1670 0 0 44
normalized size 1 1.00 0.25 8.56 0.00 7.39 0.00 0.00 0.19
time (sec) N/A 0.139 0.042 0.138 0.000 48.476 0.000 0.000 1.875




















Problem 304 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.039 0.055 0.227 0.000 0.498 0.000 0.000 0.000




















Problem 305 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.038 0.044 0.125 0.000 0.501 0.000 0.000 0.000




















Problem 306 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.015 0.035 0.103 0.000 0.489 0.000 0.000 0.000




















Problem 307 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.038 0.041 0.097 0.000 0.452 0.000 0.000 0.000




















Problem 308 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.038 0.038 0.106 0.000 0.468 0.000 0.000 0.000




















Problem 309 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.043 0.054 0.183 0.000 0.561 0.000 0.000 0.000




















Problem 310 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.045 0.052 0.122 0.000 0.500 0.000 0.000 0.000




















Problem 311 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.014 0.042 0.026 0.000 0.472 0.000 0.000 0.000




















Problem 312 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.044 0.052 0.092 0.000 0.466 0.000 0.000 0.000




















Problem 313 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.044 0.048 0.107 0.000 0.466 0.000 0.000 0.000




















Problem 314 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.044 0.053 0.143 0.000 0.468 0.000 0.000 0.000




















Problem 315 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.039 0.045 0.092 0.000 0.460 0.000 0.000 0.000




















Problem 316 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.015 0.035 0.084 0.000 0.455 0.000 0.000 0.000




















Problem 317 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.040 0.041 0.090 0.000 0.505 0.000 0.000 0.000




















Problem 318 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.039 0.040 0.100 0.000 0.520 0.000 0.000 0.000




















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.046 0.047 0.138 0.000 0.496 0.000 0.000 0.000




















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.046 0.044 0.090 0.000 0.476 0.000 0.000 0.000




















Problem 321 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 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.014 0.033 0.024 0.000 0.494 0.000 0.000 0.000




















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F(-1) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.046 0.044 0.089 0.000 0.487 0.000 0.000 0.000




















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F(-1) F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.046 0.039 0.101 0.000 0.476 0.000 0.000 0.000




















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F A F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 57 0 0 144 0 0 44
normalized size 1 1.00 0.45 0.00 0.00 1.12 0.00 0.00 0.34
time (sec) N/A 0.151 0.044 0.140 0.000 0.473 0.000 0.000 1.237




















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F(-1) F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 224 224 57 0 0 0 0 0 44
normalized size 1 1.00 0.25 0.00 0.00 0.00 0.00 0.00 0.20
time (sec) N/A 0.329 0.043 0.094 0.000 0.000 0.000 0.000 1.049




















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F(-1) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 249 249 57 0 0 0 0 0 44
normalized size 1 1.00 0.23 0.00 0.00 0.00 0.00 0.00 0.18
time (sec) N/A 0.348 0.054 0.066 0.000 0.000 0.000 0.000 1.640




















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 57 0 0 197 0 0 44
normalized size 1 1.00 0.37 0.00 0.00 1.27 0.00 0.00 0.28
time (sec) N/A 0.175 0.058 0.072 0.000 0.874 0.000 0.000 1.139




















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 57 0 0 195 0 0 44
normalized size 1 1.00 0.37 0.00 0.00 1.26 0.00 0.00 0.28
time (sec) N/A 0.110 0.053 0.072 0.000 1.116 0.000 0.000 1.644




















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F A F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 57 0 0 152 0 0 44
normalized size 1 1.00 0.45 0.00 0.00 1.19 0.00 0.00 0.34
time (sec) N/A 0.082 0.027 0.085 0.000 0.968 0.000 0.000 1.485




















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F(-1) F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 225 225 55 0 0 0 0 0 44
normalized size 1 1.00 0.24 0.00 0.00 0.00 0.00 0.00 0.20
time (sec) N/A 0.300 0.028 0.084 0.000 0.000 0.000 0.000 1.118




















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F(-1) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 250 250 55 0 0 0 0 0 44
normalized size 1 1.00 0.22 0.00 0.00 0.00 0.00 0.00 0.18
time (sec) N/A 0.326 0.030 0.067 0.000 0.000 0.000 0.000 1.695




















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 57 0 0 189 0 0 44
normalized size 1 1.00 0.37 0.00 0.00 1.22 0.00 0.00 0.28
time (sec) N/A 0.111 0.033 0.066 0.000 0.973 0.000 0.000 1.200




















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 155 155 57 0 0 219 0 0 44
normalized size 1 1.00 0.37 0.00 0.00 1.41 0.00 0.00 0.28
time (sec) N/A 0.134 0.034 0.067 0.000 0.948 0.000 0.000 1.914




















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 0 0 18 0 0 10
normalized size 1 1.00 1.00 0.00 0.00 1.12 0.00 0.00 0.62
time (sec) N/A 0.022 0.011 0.062 0.000 0.856 0.000 0.000 0.826




















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 0 0 10 0 0 94
normalized size 1 1.00 1.00 0.00 0.00 0.62 0.00 0.00 5.88
time (sec) N/A 0.023 0.016 0.061 0.000 0.818 0.000 0.000 0.822




















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 79 0 0 0 0 0 71
normalized size 1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.89
time (sec) N/A 0.042 0.105 0.579 0.000 0.909 0.000 0.000 2.346




















Problem 337 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 85 85 82 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 0.045 0.116 0.548 0.000 0.802 0.000 0.000 0.000




















Problem 338 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 83 83 85 0 0 0 0 0 -1
normalized size 1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.043 0.074 0.531 0.000 1.020 0.000 0.000 0.000




















Problem 339 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 88 88 85 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.048 0.095 0.567 0.000 0.961 0.000 0.000 0.000




















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 55 0 77 70 2050 0 132
normalized size 1 1.00 0.74 0.00 1.04 0.95 27.70 0.00 1.78
time (sec) N/A 0.070 0.312 1.782 0.563 0.629 66.310 0.000 1.612




















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 48 0 53 46 530 92 62
normalized size 1 1.00 0.96 0.00 1.06 0.92 10.60 1.84 1.24
time (sec) N/A 0.051 0.091 1.166 0.434 0.659 13.278 3.050 0.879




















Problem 342 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 25 25 24 24 58 24 25
normalized size 1 1.00 1.04 1.04 1.00 1.00 2.42 1.00 1.04
time (sec) N/A 0.025 0.010 0.002 0.468 0.618 2.043 1.928 0.605




















Problem 343 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 48 51 0 0 0 0 0 -1
normalized size 1 1.00 1.06 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.041 0.020 0.385 0.000 0.700 0.000 0.000 0.000




















Problem 344 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 48 51 0 0 0 0 0 -1
normalized size 1 1.00 1.06 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.047 0.023 0.371 0.000 0.796 0.000 0.000 0.000




















Problem 345 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 68 68 63 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 0.041 0.046 1.260 0.000 0.700 0.000 0.000 0.000




















Problem 346 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 68 68 63 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 0.041 0.047 1.114 0.000 0.753 0.000 0.000 0.000




















Problem 347 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 68 68 63 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 0.015 0.039 0.483 0.000 0.797 0.000 0.000 0.000




















Problem 348 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 68 68 63 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 0.040 0.044 0.379 0.000 0.560 0.000 0.000 0.000




















Problem 349 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 68 68 63 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 0.040 0.044 0.380 0.000 0.606 0.000 0.000 0.000




















Problem 350 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 75 75 78 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 0.055 0.129 0.116 0.000 0.846 0.000 0.000 0.000




















Problem 351 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 75 75 75 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 0.048 0.065 0.106 0.000 0.630 0.000 0.000 0.000




















Problem 352 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 75 75 75 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 0.049 0.070 0.100 0.000 0.769 0.000 0.000 0.000




















Problem 353 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 77 77 78 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 0.058 0.091 0.096 0.000 0.595 0.000 0.000 0.000




















Problem 354 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 77 77 78 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 0.055 0.081 0.103 0.000 0.808 0.000 0.000 0.000




















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 83 0 78 84 2462 0 132
normalized size 1 1.00 1.09 0.00 1.03 1.11 32.39 0.00 1.74
time (sec) N/A 0.066 0.307 1.292 0.382 0.627 75.791 0.000 1.544




















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 50 1076 52 50 694 100 65
normalized size 1 1.00 1.00 21.52 1.04 1.00 13.88 2.00 1.30
time (sec) N/A 0.050 0.123 2.144 0.369 0.755 12.778 1.728 0.912




















Problem 357 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 26 26 25 25 61 25 26
normalized size 1 1.00 1.04 1.04 1.00 1.00 2.44 1.00 1.04
time (sec) N/A 0.022 0.010 0.000 0.331 0.691 1.919 1.922 0.175




















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 52 0 0 0 0 0 -1
normalized size 1 1.00 1.06 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.040 0.032 0.536 0.000 0.745 0.000 0.000 0.000




















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 154 0 0 0 0 0 -1
normalized size 1 1.00 3.14 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.047 2.700 0.561 0.000 0.774 0.000 0.000 0.000




















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 49 49 244 0 0 0 0 0 -1
normalized size 1 1.00 4.98 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.046 4.020 0.303 0.000 0.893 0.000 0.000 0.000




















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 69 69 68 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 0.039 0.113 0.984 0.000 0.701 0.000 0.000 0.000




















Problem 362 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 69 69 68 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 0.040 0.084 1.280 0.000 0.626 0.000 0.000 0.000




















Problem 363 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 69 69 64 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 0.015 0.044 0.224 0.000 0.722 0.000 0.000 0.000




















Problem 364 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 69 69 80 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 0.040 0.194 0.407 0.000 0.500 0.000 0.000 0.000




















Problem 365 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 0.038 0.211 0.294 0.000 0.624 0.000 0.000 0.000




















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 76 76 158 0 0 0 0 0 -1
normalized size 1 1.00 2.08 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.053 0.416 0.123 0.000 0.681 0.000 0.000 0.000




















Problem 367 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 76 76 76 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 0.053 0.159 0.110 0.000 0.757 0.000 0.000 0.000




















Problem 368 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 76 76 82 0 0 0 0 0 -1
normalized size 1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.045 0.104 0.115 0.000 0.722 0.000 0.000 0.000




















Problem 369 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 76 76 82 0 0 0 0 0 -1
normalized size 1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.048 0.113 0.094 0.000 0.688 0.000 0.000 0.000




















Problem 370 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 78 78 79 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 0.056 0.133 0.092 0.000 0.806 0.000 0.000 0.000




















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 58 517 63 56 0 0 -1
normalized size 1 1.00 0.68 6.08 0.74 0.66 0.00 0.00 -0.01
time (sec) N/A 0.059 0.340 0.382 0.315 0.811 0.000 0.000 0.000




















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 48 507 50 46 0 0 -1
normalized size 1 1.00 0.76 8.05 0.79 0.73 0.00 0.00 -0.02
time (sec) N/A 0.050 0.207 0.192 0.317 0.705 0.000 0.000 0.000




















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 36 497 35 34 0 0 -1
normalized size 1 1.00 0.88 12.12 0.85 0.83 0.00 0.00 -0.02
time (sec) N/A 0.043 0.158 0.213 0.389 0.685 0.000 0.000 0.000




















Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 17 23 23 0 0 23
normalized size 1 1.00 1.00 0.94 1.28 1.28 0.00 0.00 1.28
time (sec) N/A 0.030 0.035 0.033 0.547 0.574 0.000 0.000 0.204




















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 73 169 72 247 0 0 -1
normalized size 1 1.00 1.26 2.91 1.24 4.26 0.00 0.00 -0.02
time (sec) N/A 0.046 0.351 0.185 0.539 0.714 0.000 0.000 0.000




















Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 95 603 106 354 0 0 -1
normalized size 1 1.00 1.02 6.48 1.14 3.81 0.00 0.00 -0.01
time (sec) N/A 0.076 0.623 0.221 0.434 0.708 0.000 0.000 0.000




















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 107 1089 138 438 0 0 -1
normalized size 1 1.00 0.87 8.85 1.12 3.56 0.00 0.00 -0.01
time (sec) N/A 0.086 1.010 0.230 0.416 0.927 0.000 0.000 0.000




















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 73 165 0 0 0 0 -1
normalized size 1 1.00 0.59 1.34 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.143 0.153 0.345 0.000 0.640 0.000 0.000 0.000




















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 61 143 0 0 0 0 -1
normalized size 1 1.00 0.64 1.51 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.098 0.110 0.226 0.000 0.692 0.000 0.000 0.000




















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 51 123 0 0 0 0 -1
normalized size 1 1.00 0.76 1.84 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.058 0.125 0.194 0.000 0.578 0.000 0.000 0.000




















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 38 98 0 0 0 0 35
normalized size 1 1.00 1.00 2.58 0.00 0.00 0.00 0.00 0.92
time (sec) N/A 0.021 0.038 0.170 0.000 0.645 0.000 0.000 0.563




















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 62 62 47 184 0 0 0 0 -1
normalized size 1 1.00 0.76 2.97 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.057 0.116 0.195 0.000 0.746 0.000 0.000 0.000




















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 63 335 0 0 0 0 -1
normalized size 1 1.00 0.66 3.53 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.096 0.242 0.229 0.000 0.715 0.000 0.000 0.000




















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 73 485 0 0 0 0 -1
normalized size 1 1.00 0.59 3.94 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.138 0.482 0.249 0.000 0.661 0.000 0.000 0.000




















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 52 969 72 54 0 0 -1
normalized size 1 1.00 0.63 11.67 0.87 0.65 0.00 0.00 -0.01
time (sec) N/A 0.063 0.170 0.321 0.307 0.747 0.000 0.000 0.000




















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 42 959 55 43 0 0 -1
normalized size 1 1.00 0.67 15.22 0.87 0.68 0.00 0.00 -0.02
time (sec) N/A 0.056 0.110 0.227 0.418 0.665 0.000 0.000 0.000




















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 30 949 37 31 0 0 -1
normalized size 1 1.00 0.73 23.15 0.90 0.76 0.00 0.00 -0.02
time (sec) N/A 0.050 0.074 0.192 0.357 0.574 0.000 0.000 0.000




















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 18 18 18 17 23 18 0 0 18
normalized size 1 1.00 1.00 0.94 1.28 1.00 0.00 0.00 1.00
time (sec) N/A 0.034 0.033 0.024 0.461 0.689 0.000 0.000 0.478




















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 85 235 87 278 0 0 -1
normalized size 1 1.00 1.10 3.05 1.13 3.61 0.00 0.00 -0.01
time (sec) N/A 0.053 0.959 0.214 0.515 0.801 0.000 0.000 0.000




















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 97 644 123 388 0 0 -1
normalized size 1 1.00 0.86 5.70 1.09 3.43 0.00 0.00 -0.01
time (sec) N/A 0.084 2.327 0.194 0.678 0.561 0.000 0.000 0.000




















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 70 330 0 0 0 0 -1
normalized size 1 1.00 0.55 2.58 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.149 0.146 0.287 0.000 0.840 0.000 0.000 0.000




















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 60 320 0 0 0 0 -1
normalized size 1 1.00 0.61 3.27 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.108 0.129 0.227 0.000 0.808 0.000 0.000 0.000




















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 48 310 0 0 0 0 -1
normalized size 1 1.00 0.73 4.70 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.066 0.083 0.204 0.000 0.666 0.000 0.000 0.000




















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 48 322 0 0 0 0 -1
normalized size 1 1.00 0.73 4.88 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.037 0.057 0.259 0.000 0.721 0.000 0.000 0.000




















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 90 90 57 322 0 0 0 0 -1
normalized size 1 1.00 0.63 3.58 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.082 0.152 0.198 0.000 0.711 0.000 0.000 0.000




















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 124 124 77 622 0 0 0 0 -1
normalized size 1 1.00 0.62 5.02 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.129 0.207 0.222 0.000 0.645 0.000 0.000 0.000




















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 52 532 66 70 0 0 -1
normalized size 1 1.00 0.61 6.26 0.78 0.82 0.00 0.00 -0.01
time (sec) N/A 0.062 0.421 0.210 0.543 0.563 0.000 0.000 0.000




















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 42 522 52 57 0 0 -1
normalized size 1 1.00 0.67 8.29 0.83 0.90 0.00 0.00 -0.02
time (sec) N/A 0.056 0.332 0.204 0.396 0.689 0.000 0.000 0.000




















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 32 357 36 42 0 0 50
normalized size 1 1.00 0.78 8.71 0.88 1.02 0.00 0.00 1.22
time (sec) N/A 0.049 0.197 0.175 0.326 0.584 0.000 0.000 0.908




















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 17 23 28 0 0 39
normalized size 1 1.00 1.00 0.85 1.15 1.40 0.00 0.00 1.95
time (sec) N/A 0.036 0.036 0.023 0.556 0.631 0.000 0.000 0.624




















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 87 237 87 328 0 0 -1
normalized size 1 1.00 1.12 3.04 1.12 4.21 0.00 0.00 -0.01
time (sec) N/A 0.054 0.180 0.168 0.429 0.673 0.000 0.000 0.000




















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 113 109 699 123 448 0 0 -1
normalized size 1 1.00 0.96 6.19 1.09 3.96 0.00 0.00 -0.01
time (sec) N/A 0.084 1.896 0.222 0.658 0.738 0.000 0.000 0.000




















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 143 143 119 1161 155 542 0 0 -1
normalized size 1 1.00 0.83 8.12 1.08 3.79 0.00 0.00 -0.01
time (sec) N/A 0.098 1.318 0.179 0.429 0.943 0.000 0.000 0.000




















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 74 168 0 0 0 0 -1
normalized size 1 1.00 0.57 1.29 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.147 0.195 0.240 0.000 0.776 0.000 0.000 0.000




















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 64 144 0 0 0 0 -1
normalized size 1 1.00 0.64 1.44 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.103 0.128 0.195 0.000 0.789 0.000 0.000 0.000




















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 52 126 0 0 0 0 -1
normalized size 1 1.00 0.74 1.80 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.065 0.119 0.176 0.000 0.798 0.000 0.000 0.000




















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 51 128 0 0 0 0 -1
normalized size 1 1.00 0.73 1.83 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.035 0.077 0.170 0.000 0.728 0.000 0.000 0.000




















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 67 202 0 0 0 0 -1
normalized size 1 1.00 0.68 2.06 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.102 0.168 0.191 0.000 0.566 0.000 0.000 0.000




















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 79 352 0 0 0 0 -1
normalized size 1 1.00 0.64 2.86 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.150 0.394 0.231 0.000 0.753 0.000 0.000 0.000




















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 52 56 63 61 0 0 -1
normalized size 1 1.00 0.60 0.64 0.72 0.70 0.00 0.00 -0.01
time (sec) N/A 0.057 0.212 0.217 1.132 0.646 0.000 0.000 0.000




















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 42 46 50 51 0 0 -1
normalized size 1 1.00 0.65 0.71 0.77 0.78 0.00 0.00 -0.02
time (sec) N/A 0.050 0.167 0.172 0.419 0.779 0.000 0.000 0.000




















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 32 36 37 41 0 50 -1
normalized size 1 1.00 0.74 0.84 0.86 0.95 0.00 1.16 -0.02
time (sec) N/A 0.045 0.103 0.164 0.422 0.607 0.000 1.691 0.000




















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 20 20 20 17 23 28 0 0 28
normalized size 1 1.00 1.00 0.85 1.15 1.40 0.00 0.00 1.40
time (sec) N/A 0.031 0.041 0.032 0.475 0.469 0.000 0.000 0.544




















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 59 59 73 161 73 253 0 0 -1
normalized size 1 1.00 1.24 2.73 1.24 4.29 0.00 0.00 -0.02
time (sec) N/A 0.042 0.098 0.175 0.454 0.908 0.000 0.000 0.000




















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 93 425 105 361 0 0 -1
normalized size 1 1.00 1.00 4.57 1.13 3.88 0.00 0.00 -0.01
time (sec) N/A 0.067 1.097 0.211 0.749 0.604 0.000 0.000 0.000




















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 107 729 138 450 0 0 -1
normalized size 1 1.00 0.87 5.93 1.12 3.66 0.00 0.00 -0.01
time (sec) N/A 0.079 1.920 0.217 1.456 0.868 0.000 0.000 0.000




















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 73 338 0 0 0 0 -1
normalized size 1 1.00 0.59 2.75 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.143 0.461 0.245 0.000 0.639 0.000 0.000 0.000




















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 63 328 0 0 0 0 -1
normalized size 1 1.00 0.66 3.45 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.100 0.334 0.202 0.000 0.785 0.000 0.000 0.000




















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 60 318 0 0 0 0 -1
normalized size 1 1.00 0.90 4.75 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.059 0.136 0.227 0.000 0.768 0.000 0.000 0.000




















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 38 306 0 0 0 0 -1
normalized size 1 1.00 1.00 8.05 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.020 0.036 0.187 0.000 0.837 0.000 0.000 0.000




















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 63 63 48 316 0 0 0 0 -1
normalized size 1 1.00 0.76 5.02 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.058 0.153 0.192 0.000 0.691 0.000 0.000 0.000




















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 74 618 0 0 0 0 -1
normalized size 1 1.00 0.78 6.51 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.101 0.186 0.236 0.000 0.752 0.000 0.000 0.000




















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 86 918 0 0 0 0 -1
normalized size 1 1.00 0.70 7.46 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.143 0.134 0.254 0.000 0.604 0.000 0.000 0.000




















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 52 56 63 61 0 0 -1
normalized size 1 1.00 0.60 0.64 0.72 0.70 0.00 0.00 -0.01
time (sec) N/A 0.063 0.427 0.214 0.441 0.660 0.000 0.000 0.000




















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 42 46 50 51 0 0 -1
normalized size 1 1.00 0.65 0.71 0.77 0.78 0.00 0.00 -0.02
time (sec) N/A 0.058 0.252 0.165 0.477 0.761 0.000 0.000 0.000




















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 32 36 37 41 0 50 -1
normalized size 1 1.00 0.74 0.84 0.86 0.95 0.00 1.16 -0.02
time (sec) N/A 0.050 0.174 0.146 1.262 0.946 0.000 1.722 0.000




















Problem 427 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 20 20 20 17 23 28 0 30 28
normalized size 1 1.00 1.00 0.85 1.15 1.40 0.00 1.50 1.40
time (sec) N/A 0.036 0.053 0.025 0.447 0.586 0.000 1.533 0.567




















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 89 221 89 314 0 0 -1
normalized size 1 1.00 1.14 2.83 1.14 4.03 0.00 0.00 -0.01
time (sec) N/A 0.054 1.999 0.170 0.619 1.018 0.000 0.000 0.000




















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 98 426 106 364 0 0 -1
normalized size 1 1.00 1.05 4.58 1.14 3.91 0.00 0.00 -0.01
time (sec) N/A 0.074 0.459 0.180 1.955 0.754 0.000 0.000 0.000




















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 109 729 137 454 0 0 -1
normalized size 1 1.00 0.89 5.93 1.11 3.69 0.00 0.00 -0.01
time (sec) N/A 0.086 0.627 0.194 0.851 0.782 0.000 0.000 0.000




















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 81 173 0 0 0 0 -1
normalized size 1 1.00 0.64 1.37 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.134 0.163 0.227 0.000 0.746 0.000 0.000 0.000




















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 71 153 0 0 0 0 -1
normalized size 1 1.00 0.72 1.56 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.082 0.132 0.187 0.000 0.585 0.000 0.000 0.000




















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 59 131 0 0 0 0 -1
normalized size 1 1.00 0.82 1.82 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.036 0.062 0.176 0.000 0.764 0.000 0.000 0.000




















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 58 191 0 0 0 0 -1
normalized size 1 1.00 0.85 2.81 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.066 0.098 0.179 0.000 0.599 0.000 0.000 0.000




















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 62 343 0 0 0 0 -1
normalized size 1 1.00 0.61 3.36 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.104 0.220 0.200 0.000 0.576 0.000 0.000 0.000




















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 74 493 0 0 0 0 -1
normalized size 1 1.00 0.56 3.73 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.144 0.307 0.240 0.000 0.597 0.000 0.000 0.000




















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 87 87 62 56 63 61 0 0 -1
normalized size 1 1.00 0.71 0.64 0.72 0.70 0.00 0.00 -0.01
time (sec) N/A 0.063 0.346 0.225 0.390 0.785 0.000 0.000 0.000




















Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 52 46 50 51 0 0 -1
normalized size 1 1.00 0.80 0.71 0.77 0.78 0.00 0.00 -0.02
time (sec) N/A 0.059 0.215 0.169 0.530 0.751 0.000 0.000 0.000




















Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F(-1) A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 42 36 37 41 0 50 -1
normalized size 1 1.00 0.98 0.84 0.86 0.95 0.00 1.16 -0.02
time (sec) N/A 0.053 0.158 0.150 0.451 0.732 0.000 1.667 0.000




















Problem 440 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 20 20 20 17 23 28 0 30 28
normalized size 1 1.00 1.00 0.85 1.15 1.40 0.00 1.50 1.40
time (sec) N/A 0.037 0.078 0.024 0.431 0.743 0.000 2.105 0.569




















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 90 377 90 319 0 0 -1
normalized size 1 1.00 1.11 4.65 1.11 3.94 0.00 0.00 -0.01
time (sec) N/A 0.055 0.204 0.185 0.430 1.042 0.000 0.000 0.000




















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 93 93 98 437 106 370 0 0 -1
normalized size 1 1.00 1.05 4.70 1.14 3.98 0.00 0.00 -0.01
time (sec) N/A 0.073 2.434 0.186 0.498 0.826 0.000 0.000 0.000




















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A B F(-1) F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 123 123 110 737 136 458 0 0 -1
normalized size 1 1.00 0.89 5.99 1.11 3.72 0.00 0.00 -0.01
time (sec) N/A 0.084 2.401 0.197 0.898 0.847 0.000 0.000 0.000




















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 83 343 0 0 0 0 -1
normalized size 1 1.00 0.66 2.72 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.132 0.499 0.211 0.000 0.679 0.000 0.000 0.000




















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 98 98 66 333 0 0 0 0 -1
normalized size 1 1.00 0.67 3.40 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.082 0.395 0.184 0.000 0.686 0.000 0.000 0.000




















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 60 321 0 0 0 0 -1
normalized size 1 1.00 0.83 4.46 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.035 0.088 0.219 0.000 0.643 0.000 0.000 0.000




















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 51 312 0 0 0 0 -1
normalized size 1 1.00 0.75 4.59 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.066 0.156 0.218 0.000 0.586 0.000 0.000 0.000




















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 79 623 0 0 0 0 -1
normalized size 1 1.00 0.77 6.11 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.108 0.237 0.228 0.000 0.833 0.000 0.000 0.000




















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 87 923 0 0 0 0 -1
normalized size 1 1.00 0.66 6.99 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.149 0.180 0.251 0.000 0.617 0.000 0.000 0.000




















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 449 449 80 538 0 0 0 0 -1
normalized size 1 1.00 0.18 1.20 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.476 0.370 0.234 0.000 0.000 0.000 0.000 0.000




















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 414 414 65 512 0 0 0 0 -1
normalized size 1 1.00 0.16 1.24 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.348 0.256 0.185 0.000 0.000 0.000 0.000 0.000




















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 376 376 55 273 0 0 0 0 -1
normalized size 1 1.00 0.15 0.73 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.265 0.131 0.169 0.000 0.000 0.000 0.000 0.000




















Problem 453 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 33 33 37 40 0 44 0 0 36
normalized size 1 1.00 1.12 1.21 0.00 1.33 0.00 0.00 1.09
time (sec) N/A 0.052 0.076 0.173 0.000 1.131 0.000 0.000 0.873




















Problem 454 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 71 71 52 52 0 73 0 0 83
normalized size 1 1.00 0.73 0.73 0.00 1.03 0.00 0.00 1.17
time (sec) N/A 0.109 0.204 0.180 0.000 1.130 0.000 0.000 1.805




















Problem 455 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 106 106 65 62 0 96 0 0 169
normalized size 1 1.00 0.61 0.58 0.00 0.91 0.00 0.00 1.59
time (sec) N/A 0.165 0.213 0.197 0.000 0.975 0.000 0.000 5.695




















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 128 128 90 212 0 0 0 0 -1
normalized size 1 1.00 0.70 1.66 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.215 0.871 0.235 0.000 0.662 0.000 0.000 0.000




















Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 66 184 0 0 0 0 -1
normalized size 1 1.00 0.73 2.02 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.151 1.284 0.189 0.000 0.599 0.000 0.000 0.000




















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 66 153 0 0 0 0 -1
normalized size 1 1.00 1.25 2.89 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.099 0.375 0.162 0.000 0.733 0.000 0.000 0.000




















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 75 279 0 0 0 0 -1
normalized size 1 1.00 0.79 2.94 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.154 0.435 0.183 0.000 0.731 0.000 0.000 0.000




















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 130 130 111 532 0 0 0 0 -1
normalized size 1 1.00 0.85 4.09 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.214 1.020 0.206 0.000 0.833 0.000 0.000 0.000




















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 86 524 0 0 0 0 -1
normalized size 1 1.00 0.75 4.56 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.164 0.533 0.159 0.000 0.796 0.000 0.000 0.000




















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 74 511 0 0 0 0 -1
normalized size 1 1.00 0.87 6.01 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.119 0.300 0.177 0.000 0.659 0.000 0.000 0.000




















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 60 497 0 0 0 0 -1
normalized size 1 1.00 1.18 9.75 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.081 1.102 0.151 0.000 0.699 0.000 0.000 0.000




















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 81 81 63 484 0 0 0 0 -1
normalized size 1 1.00 0.78 5.98 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.120 0.251 0.151 0.000 0.707 0.000 0.000 0.000




















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 82 1030 0 0 0 0 -1
normalized size 1 1.00 0.71 8.96 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.162 0.471 0.177 0.000 0.582 0.000 0.000 0.000




















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 363 363 218 646 0 0 0 0 -1
normalized size 1 1.00 0.60 1.78 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.268 1.559 0.146 0.000 0.000 0.000 0.000 0.000




















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 328 328 166 304 0 0 0 0 -1
normalized size 1 1.00 0.51 0.93 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.192 0.861 0.138 0.000 0.000 0.000 0.000 0.000




















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 30 70 0 48 0 0 57
normalized size 1 1.00 1.00 2.33 0.00 1.60 0.00 0.00 1.90
time (sec) N/A 0.038 0.099 0.141 0.000 0.885 0.000 0.000 1.250




















Problem 469 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 61 61 42 82 0 72 0 0 103
normalized size 1 1.00 0.69 1.34 0.00 1.18 0.00 0.00 1.69
time (sec) N/A 0.078 0.136 0.146 0.000 0.643 0.000 0.000 2.662




















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F A F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 91 91 52 92 0 95 0 0 163
normalized size 1 1.00 0.57 1.01 0.00 1.04 0.00 0.00 1.79
time (sec) N/A 0.122 0.211 0.185 0.000 0.500 0.000 0.000 6.239




















Problem 471 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 121 121 62 102 0 116 0 0 192
normalized size 1 1.00 0.51 0.84 0.00 0.96 0.00 0.00 1.59
time (sec) N/A 0.162 0.262 0.213 0.000 0.545 0.000 0.000 6.414




















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 490 490 97 572 0 0 0 0 -1
normalized size 1 1.00 0.20 1.17 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.553 0.433 0.214 0.000 0.000 0.000 0.000 0.000




















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 453 453 82 546 0 0 0 0 -1
normalized size 1 1.00 0.18 1.21 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.447 0.324 0.199 0.000 0.000 0.000 0.000 0.000




















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 418 418 76 516 0 0 0 0 -1
normalized size 1 1.00 0.18 1.23 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.356 0.228 0.214 0.000 0.000 0.000 0.000 0.000




















Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 411 411 66 957 0 0 0 0 -1
normalized size 1 1.00 0.16 2.33 0.00 0.00 0.00 0.00 -0.00
time (sec) N/A 0.360 0.191 0.170 0.000 0.000 0.000 0.000 0.000




















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 45 40 0 68 0 0 84
normalized size 1 1.00 1.29 1.14 0.00 1.94 0.00 0.00 2.40
time (sec) N/A 0.058 0.108 0.143 0.000 1.098 0.000 0.000 1.862




















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 103 246 0 0 0 0 -1
normalized size 1 1.00 0.60 1.43 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.275 0.847 0.211 0.000 0.817 0.000 0.000 0.000




















Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 135 135 87 218 0 0 0 0 -1
normalized size 1 1.00 0.64 1.61 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.216 0.405 0.199 0.000 0.945 0.000 0.000 0.000




















Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 84 190 0 0 0 0 -1
normalized size 1 1.00 0.89 2.02 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.152 0.527 0.168 0.000 1.043 0.000 0.000 0.000




















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 78 284 0 0 0 0 -1
normalized size 1 1.00 0.78 2.84 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.156 0.476 0.159 0.000 1.090 0.000 0.000 0.000




















Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 119 540 0 0 0 0 -1
normalized size 1 1.00 0.87 3.94 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.219 0.839 0.176 0.000 0.841 0.000 0.000 0.000




















Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 131 793 0 0 0 0 -1
normalized size 1 1.00 0.75 4.56 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.282 1.215 0.218 0.000 1.188 0.000 0.000 0.000




















Problem 483 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 75 75 96 0 0 0 0 0 -1
normalized size 1 1.00 1.28 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.109 8.678 0.187 0.000 0.945 0.000 0.000 0.000




















Problem 484 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 75 75 96 0 0 0 0 0 -1
normalized size 1 1.00 1.28 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.108 1.356 0.148 0.000 0.863 0.000 0.000 0.000




















Problem 485 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 77 77 106 0 0 0 0 0 -1
normalized size 1 1.00 1.38 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.095 1.368 0.158 0.000 0.870 0.000 0.000 0.000




















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 77 77 289 0 0 0 0 0 -1
normalized size 1 1.00 3.75 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.097 1.753 0.148 0.000 0.742 0.000 0.000 0.000




















Problem 487 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 77 77 116 0 0 0 0 0 -1
normalized size 1 1.00 1.51 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.107 4.035 0.137 0.000 0.722 0.000 0.000 0.000




















Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 86 86 285 0 0 0 0 0 -1
normalized size 1 1.00 3.31 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.076 1.466 0.660 0.000 0.638 0.000 0.000 0.000




















Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 89 89 287 0 0 0 0 0 -1
normalized size 1 1.00 3.22 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.088 0.149 0.608 0.000 0.749 0.000 0.000 0.000




















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 89 89 287 0 0 0 0 0 -1
normalized size 1 1.00 3.22 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.089 0.137 0.615 0.000 0.656 0.000 0.000 0.000




















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 92 92 289 0 0 0 0 0 -1
normalized size 1 1.00 3.14 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.103 0.132 0.642 0.000 0.743 0.000 0.000 0.000




















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F A A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 80 0 85 85 0 0 134
normalized size 1 1.00 1.00 0.00 1.06 1.06 0.00 0.00 1.68
time (sec) N/A 0.073 0.365 1.771 0.353 0.617 0.000 0.000 1.601




















Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C A A F(-1) F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 52 52 47 1732 59 53 0 0 67
normalized size 1 1.00 0.90 33.31 1.13 1.02 0.00 0.00 1.29
time (sec) N/A 0.053 0.153 1.855 1.334 0.677 0.000 0.000 0.935




















Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 25 25 22 120 28 28 0 0 27
normalized size 1 1.00 0.88 4.80 1.12 1.12 0.00 0.00 1.08
time (sec) N/A 0.033 0.021 0.039 0.362 0.500 0.000 0.000 0.195




















Problem 495 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 49 49 92 0 0 0 0 0 -1
normalized size 1 1.00 1.88 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.038 0.331 0.564 0.000 0.689 0.000 0.000 0.000




















Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 48 48 201 0 0 0 0 0 -1
normalized size 1 1.00 4.19 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.052 4.516 0.556 0.000 0.779 0.000 0.000 0.000




















Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 73 73 8327 0 0 0 0 0 -1
normalized size 1 1.00 114.07 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.085 25.459 1.295 0.000 0.721 0.000 0.000 0.000




















Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 73 73 6192 0 0 0 0 0 -1
normalized size 1 1.00 84.82 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.082 24.183 1.062 0.000 0.635 0.000 0.000 0.000




















Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 73 73 4143 0 0 0 0 0 -1
normalized size 1 1.00 56.75 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.081 18.632 1.335 0.000 0.678 0.000 0.000 0.000




















Problem 500 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 73 73 61 0 0 0 0 0 -1
normalized size 1 1.00 0.84 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.033 0.059 0.221 0.000 0.541 0.000 0.000 0.000




















Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 73 73 2638 0 0 0 0 0 -1
normalized size 1 1.00 36.14 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.079 15.225 0.441 0.000 0.576 0.000 0.000 0.000




















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 73 73 3833 0 0 0 0 0 -1
normalized size 1 1.00 52.51 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.080 17.551 0.306 0.000 0.889 0.000 0.000 0.000




















Problem 503 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 76 76 104 0 0 0 0 0 -1
normalized size 1 1.00 1.37 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.110 0.815 0.186 0.000 0.667 0.000 0.000 0.000




















Problem 504 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 76 76 75 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 0.094 0.123 0.163 0.000 0.629 0.000 0.000 0.000




















Problem 505 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 76 76 72 0 0 0 0 0 -1
normalized size 1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.096 0.139 0.133 0.000 0.734 0.000 0.000 0.000




















Problem 506 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 78 78 73 0 0 0 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.117 0.148 0.126 0.000 0.660 0.000 0.000 0.000




















Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 67 214 0 0 0 0 -1
normalized size 1 1.00 0.67 2.14 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.078 0.182 0.346 0.000 0.753 0.000 0.000 0.000




















Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 62 538 0 0 0 0 -1
normalized size 1 1.00 0.83 7.17 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.054 0.124 0.277 0.000 0.736 0.000 0.000 0.000




















Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 55 187 0 0 0 0 -1
normalized size 1 1.00 0.76 2.60 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.052 0.083 0.184 0.000 0.666 0.000 0.000 0.000




















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 43 525 0 0 0 0 -1
normalized size 1 1.00 0.98 11.93 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.028 0.046 0.160 0.000 0.711 0.000 0.000 0.000




















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 42 165 0 0 0 0 63
normalized size 1 1.00 0.98 3.84 0.00 0.00 0.00 0.00 1.47
time (sec) N/A 0.019 0.037 0.130 0.000 0.650 0.000 0.000 0.619




















Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 68 68 57 514 0 0 0 0 -1
normalized size 1 1.00 0.84 7.56 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.039 0.134 0.158 0.000 0.602 0.000 0.000 0.000




















Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 55 319 0 0 0 0 -1
normalized size 1 1.00 0.74 4.31 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.040 0.097 0.175 0.000 0.615 0.000 0.000 0.000




















Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 100 100 68 1054 0 0 0 0 -1
normalized size 1 1.00 0.68 10.54 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.058 0.167 0.206 0.000 0.669 0.000 0.000 0.000




















Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 68 216 0 0 0 0 -1
normalized size 1 1.00 0.66 2.10 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.076 0.137 0.162 0.000 0.689 0.000 0.000 0.000




















Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 62 545 0 0 0 0 -1
normalized size 1 1.00 0.81 7.08 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.056 0.195 0.181 0.000 0.793 0.000 0.000 0.000




















Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 75 75 56 189 0 0 0 0 -1
normalized size 1 1.00 0.75 2.52 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.053 0.062 0.152 0.000 0.871 0.000 0.000 0.000




















Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 45 531 0 0 0 0 -1
normalized size 1 1.00 0.98 11.54 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.038 0.031 0.150 0.000 0.630 0.000 0.000 0.000




















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 44 44 43 165 0 0 0 0 -1
normalized size 1 1.00 0.98 3.75 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.028 0.018 0.171 0.000 0.819 0.000 0.000 0.000




















Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 54 520 0 0 0 0 -1
normalized size 1 1.00 0.76 7.32 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.033 0.019 0.138 0.000 0.544 0.000 0.000 0.000




















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 58 319 0 0 0 0 -1
normalized size 1 1.00 0.81 4.43 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.039 0.185 0.145 0.000 0.717 0.000 0.000 0.000




















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F(-1) F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 68 1054 0 0 0 0 -1
normalized size 1 1.00 0.66 10.23 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.058 0.264 0.171 0.000 0.739 0.000 0.000 0.000




















Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 70 208 0 0 0 0 -1
normalized size 1 1.00 0.69 2.04 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.071 0.108 0.195 0.000 0.735 0.000 0.000 0.000




















Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 57 547 0 0 0 0 -1
normalized size 1 1.00 0.79 7.60 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.051 0.176 0.190 0.000 0.632 0.000 0.000 0.000




















Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 64 181 0 0 0 0 -1
normalized size 1 1.00 0.86 2.45 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.045 0.080 0.162 0.000 0.729 0.000 0.000 0.000




















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 43 43 42 533 0 0 0 0 -1
normalized size 1 1.00 0.98 12.40 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.019 0.016 0.154 0.000 0.810 0.000 0.000 0.000




















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 45 165 0 0 0 0 -1
normalized size 1 1.00 0.98 3.59 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.021 0.017 0.142 0.000 0.509 0.000 0.000 0.000




















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 70 70 52 522 0 0 0 0 -1
normalized size 1 1.00 0.74 7.46 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.039 0.091 0.161 0.000 0.655 0.000 0.000 0.000




















Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 60 318 0 0 0 0 -1
normalized size 1 1.00 0.78 4.13 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.039 0.064 0.175 0.000 0.744 0.000 0.000 0.000




















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 70 216 0 0 0 0 -1
normalized size 1 1.00 0.68 2.10 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.074 0.115 0.181 0.000 0.722 0.000 0.000 0.000




















Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 74 74 60 547 0 0 0 0 -1
normalized size 1 1.00 0.81 7.39 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.046 0.033 0.171 0.000 0.768 0.000 0.000 0.000




















Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 63 189 0 0 0 0 -1
normalized size 1 1.00 0.82 2.45 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.033 0.018 0.137 0.000 0.875 0.000 0.000 0.000




















Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 45 533 0 0 0 0 -1
normalized size 1 1.00 0.98 11.59 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.021 0.030 0.142 0.000 0.606 0.000 0.000 0.000




















Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 46 46 45 165 0 0 0 0 -1
normalized size 1 1.00 0.98 3.59 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.022 0.020 0.142 0.000 0.676 0.000 0.000 0.000




















Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 55 522 0 0 0 0 -1
normalized size 1 1.00 0.75 7.15 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.039 0.047 0.159 0.000 0.811 0.000 0.000 0.000




















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 60 319 0 0 0 0 -1
normalized size 1 1.00 0.78 4.14 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.039 0.068 0.171 0.000 0.670 0.000 0.000 0.000




















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 73 1054 0 0 0 0 -1
normalized size 1 1.00 0.70 10.04 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.059 0.133 0.182 0.000 0.572 0.000 0.000 0.000




















Problem 538 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 87 87 102 0 0 0 0 0 -1
normalized size 1 1.00 1.17 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.064 10.471 1.067 0.000 0.803 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 [290] had the largest ratio of [.6154]

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 1 1 1.00 6 0.167







2 A 2 2 1.00 8 0.250







3 A 2 1 1.00 8 0.125







4 A 3 2 1.00 8 0.250







5 A 2 1 1.00 8 0.125







6 A 4 2 1.00 8 0.250







7 A 2 1 1.00 8 0.125







8 A 5 2 1.00 8 0.250







9 A 3 2 1.00 8 0.250







10 A 2 2 1.00 8 0.250







11 A 2 2 1.00 8 0.250







12 A 1 1 1.00 8 0.125







13 A 1 1 1.00 8 0.125







14 A 2 2 1.00 8 0.250







15 A 2 2 1.00 8 0.250







16 A 3 2 1.00 8 0.250







17 A 3 2 1.00 10 0.200







18 A 2 2 1.00 10 0.200







19 A 2 2 1.00 10 0.200







20 A 1 1 1.00 10 0.100







21 A 1 1 1.00 10 0.100







22 A 2 2 1.00 10 0.200







23 A 2 2 1.00 10 0.200







24 A 3 2 1.00 10 0.200







25 A 4 3 1.00 12 0.250







26 A 3 3 1.00 12 0.250







27 A 3 3 1.00 12 0.250







28 A 2 2 1.00 12 0.167







29 A 2 2 1.00 12 0.167







30 A 3 3 1.00 12 0.250







31 A 3 3 1.00 12 0.250







32 A 4 3 1.00 12 0.250







33 A 1 1 1.00 12 0.083







34 A 1 1 1.00 12 0.083







35 C 1 1 0.11 12 0.083







36 C 1 1 0.23 12 0.083







37 C 1 1 0.21 12 0.083







38 A 1 1 1.00 12 0.083







39 A 1 1 1.00 8 0.125







40 A 1 1 1.00 10 0.100







41 A 2 2 1.00 21 0.095







42 A 2 2 1.00 15 0.133







43 A 2 2 1.00 15 0.133







44 A 2 2 1.00 13 0.154







45 A 1 1 1.00 6 0.167







46 A 2 2 1.00 13 0.154







47 A 2 2 1.00 15 0.133







48 A 2 2 1.00 15 0.133







49 A 3 2 1.00 17 0.118







50 A 3 2 1.00 17 0.118







51 A 3 2 1.00 17 0.118







52 A 2 2 1.00 15 0.133







53 A 2 2 1.00 8 0.250







54 A 2 2 1.00 17 0.118







55 A 3 2 1.00 17 0.118







56 A 3 2 1.00 17 0.118







57 A 3 2 1.00 17 0.118







58 A 5 3 1.00 17 0.176







59 A 4 3 1.00 17 0.176







60 A 3 3 1.00 17 0.176







61 A 2 2 1.00 8 0.250







62 A 3 3 1.00 13 0.231







63 A 2 2 1.00 15 0.133







64 A 3 3 1.00 17 0.176







65 A 4 3 1.00 17 0.176







66 A 3 2 1.00 17 0.118







67 A 3 2 1.00 17 0.118







68 A 3 2 1.00 17 0.118







69 A 3 2 1.00 17 0.118







70 A 2 2 1.00 15 0.133







71 A 3 2 1.00 15 0.133







72 A 3 2 1.00 15 0.133







73 A 2 2 1.00 8 0.250







74 A 2 1 1.00 15 0.067







75 A 2 2 1.00 17 0.118







76 A 3 2 1.00 17 0.118







77 A 3 2 1.00 17 0.118







78 A 3 2 1.00 17 0.118







79 A 3 2 1.00 17 0.118







80 A 3 2 1.00 17 0.118







81 A 3 2 1.00 17 0.118







82 A 3 2 1.00 17 0.118







83 A 2 2 1.00 15 0.133







84 A 4 4 1.00 17 0.235







85 A 3 2 1.00 8 0.250







86 A 2 2 1.00 17 0.118







87 A 3 2 1.00 17 0.118







88 A 3 2 1.00 17 0.118







89 A 6 3 1.00 17 0.176







90 A 5 3 1.00 17 0.176







91 A 4 3 1.00 17 0.176







92 A 3 2 1.00 8 0.250







93 A 4 3 1.00 15 0.200







94 A 4 4 1.00 15 0.267







95 A 3 2 1.00 15 0.133







96 A 4 3 1.00 17 0.176







97 A 5 3 1.00 17 0.176







98 A 4 3 1.00 17 0.176







99 A 3 2 1.00 17 0.118







100 A 4 3 1.00 17 0.176







101 A 3 2 1.00 17 0.118







102 A 3 2 1.00 17 0.118







103 A 3 2 1.00 17 0.118







104 A 2 2 1.00 15 0.133







105 A 4 3 1.00 15 0.200







106 A 3 2 1.00 17 0.118







107 A 4 3 1.00 17 0.176







108 A 3 2 1.00 15 0.133







109 A 3 2 1.00 8 0.250







110 A 3 2 1.00 15 0.133







111 A 2 2 1.00 17 0.118







112 A 3 2 1.00 17 0.118







113 A 3 2 1.00 17 0.118







114 A 3 2 1.00 17 0.118







115 A 4 3 1.00 17 0.176







116 A 3 2 1.00 17 0.118







117 A 4 3 1.00 17 0.176







118 A 5 4 1.00 17 0.235







119 A 3 2 1.00 15 0.133







120 A 4 3 1.00 15 0.200







121 A 4 3 1.00 15 0.200







122 A 4 3 1.00 15 0.200







123 A 3 2 1.00 15 0.133







124 A 3 3 1.00 13 0.231







125 A 1 1 1.00 6 0.167







126 A 2 2 1.00 13 0.154







127 A 3 3 1.00 15 0.200







128 A 3 2 1.00 15 0.133







129 A 4 3 1.00 15 0.200







130 A 4 3 1.00 15 0.200







131 A 4 3 1.00 15 0.200







132 A 4 3 1.00 15 0.200







133 A 3 2 1.00 17 0.118







134 A 5 4 1.00 17 0.235







135 A 3 2 1.00 17 0.118







136 A 4 4 1.00 17 0.235







137 A 3 2 1.00 15 0.133







138 A 2 2 1.00 8 0.250







139 A 2 2 1.00 13 0.154







140 A 3 3 1.00 15 0.200







141 A 3 2 1.00 17 0.118







142 A 4 4 1.00 17 0.235







143 A 3 2 1.00 17 0.118







144 A 5 4 1.00 17 0.235







145 A 4 3 1.00 17 0.176







146 A 5 4 1.00 17 0.235







147 A 4 3 1.00 17 0.176







148 A 4 4 1.00 15 0.267







149 A 2 2 1.00 8 0.250







150 A 2 2 1.00 15 0.133







151 A 2 2 1.00 15 0.133







152 A 3 2 1.00 15 0.133







153 A 4 4 1.00 17 0.235







154 A 4 3 1.00 17 0.176







155 A 5 4 1.00 17 0.235







156 A 4 3 1.00 17 0.176







157 A 3 2 1.00 17 0.118







158 A 6 4 1.00 17 0.235







159 A 3 2 1.00 17 0.118







160 A 5 4 1.00 17 0.235







161 A 3 2 1.00 15 0.133







162 A 3 2 1.00 8 0.250







163 A 2 1 1.00 15 0.067







164 A 2 2 1.00 17 0.118







165 A 2 2 1.00 15 0.133







166 A 4 3 1.00 15 0.200







167 A 3 2 1.00 17 0.118







168 A 5 4 1.00 17 0.235







169 A 3 2 1.00 17 0.118







170 A 6 4 1.00 17 0.235







171 A 4 3 1.00 17 0.176







172 A 6 4 1.00 17 0.235







173 A 4 3 1.00 17 0.176







174 A 5 4 1.00 15 0.267







175 A 3 2 1.00 8 0.250







176 A 3 2 1.00 15 0.133







177 A 2 2 1.00 17 0.118







178 A 3 3 1.00 17 0.176







179 A 2 2 1.00 15 0.133







180 A 4 3 1.00 15 0.200







181 A 5 4 1.00 17 0.235







182 A 4 3 1.00 17 0.176







183 A 6 4 1.00 17 0.235







184 A 4 3 1.00 17 0.176







185 A 3 2 1.00 9 0.222







186 A 3 2 1.00 9 0.222







187 A 2 2 1.00 19 0.105







188 A 2 2 1.00 19 0.105







189 A 2 2 1.00 19 0.105







190 A 2 2 1.00 19 0.105







191 A 2 2 1.00 19 0.105







192 A 2 2 1.00 19 0.105







193 A 2 2 1.00 19 0.105







194 A 5 4 1.00 21 0.190







195 A 5 4 1.00 21 0.190







196 A 4 4 1.00 21 0.190







197 A 4 4 1.00 21 0.190







198 A 3 3 1.00 21 0.143







199 A 3 3 1.00 21 0.143







200 A 3 3 1.00 21 0.143







201 A 3 3 1.00 21 0.143







202 A 4 4 1.00 21 0.190







203 A 4 4 1.00 21 0.190







204 A 3 2 1.00 21 0.095







205 A 3 2 1.00 21 0.095







206 A 3 2 1.00 21 0.095







207 A 3 2 1.00 21 0.095







208 A 3 2 1.00 21 0.095







209 A 3 2 1.00 21 0.095







210 A 3 2 1.00 21 0.095







211 A 6 4 1.00 21 0.190







212 A 6 4 1.00 21 0.190







213 A 5 4 1.00 21 0.190







214 A 5 4 1.00 21 0.190







215 A 4 3 1.00 21 0.143







216 A 4 3 1.00 21 0.143







217 A 4 4 1.00 21 0.190







218 A 4 4 1.00 21 0.190







219 A 4 3 1.00 21 0.143







220 A 4 3 1.00 21 0.143







221 A 3 2 1.00 19 0.105







222 A 7 6 1.00 19 0.316







223 A 7 6 1.00 19 0.316







224 A 6 6 1.00 19 0.316







225 A 6 6 1.00 19 0.316







226 A 5 5 1.00 19 0.263







227 A 5 5 1.00 19 0.263







228 A 6 6 1.00 19 0.316







229 A 6 6 1.00 19 0.316







230 A 7 6 1.00 19 0.316







231 A 7 6 1.00 19 0.316







232 A 5 4 1.00 21 0.190







233 A 4 4 1.00 21 0.190







234 A 4 4 1.00 21 0.190







235 A 3 3 1.00 21 0.143







236 A 3 3 1.00 21 0.143







237 A 3 3 1.00 21 0.143







238 A 3 3 1.00 21 0.143







239 A 4 4 1.00 21 0.190







240 A 4 4 1.00 21 0.190







241 A 5 4 1.00 21 0.190







242 A 8 7 1.00 21 0.333







243 A 7 7 1.00 21 0.333







244 A 7 7 1.00 21 0.333







245 A 6 6 1.00 21 0.286







246 A 6 6 1.00 21 0.286







247 A 6 6 1.00 21 0.286







248 A 6 6 1.00 21 0.286







249 A 7 7 1.00 21 0.333







250 A 7 7 1.00 21 0.333







251 A 8 7 1.00 21 0.333







252 A 2 2 1.00 19 0.105







253 A 3 2 1.00 11 0.182







254 A 3 2 1.00 11 0.182







255 A 3 2 1.00 11 0.182







256 A 3 2 1.00 11 0.182







257 A 4 3 1.00 25 0.120







258 A 3 3 1.00 25 0.120







259 A 2 2 1.00 25 0.080







260 A 3 3 1.00 25 0.120







261 A 4 3 1.00 25 0.120







262 A 11 8 1.00 25 0.320







263 A 10 7 1.00 25 0.280







264 A 1 1 1.00 25 0.040







265 A 2 2 1.00 25 0.080







266 A 3 2 1.00 25 0.080







267 A 4 4 1.00 25 0.160







268 A 3 3 1.00 25 0.120







269 A 3 3 1.00 25 0.120







270 A 4 4 1.00 25 0.160







271 A 11 8 1.00 25 0.320







272 A 11 8 1.00 25 0.320







273 A 1 1 1.00 25 0.040







274 A 3 3 1.00 25 0.120







275 A 4 3 1.00 25 0.120







276 A 5 4 1.00 25 0.160







277 A 4 4 1.00 25 0.160







278 A 3 3 1.00 25 0.120







279 A 3 3 1.00 25 0.120







280 A 4 4 1.00 25 0.160







281 A 5 4 1.00 25 0.160







282 A 11 8 1.00 25 0.320







283 A 11 8 1.00 25 0.320







284 A 1 1 1.00 25 0.040







285 A 3 3 1.00 25 0.120







286 A 4 3 1.00 25 0.120







287 A 12 8 1.00 21 0.381







288 A 1 1 1.00 13 0.077







289 A 10 7 1.00 13 0.538







290 A 11 8 1.00 13 0.615







291 A 4 3 1.00 25 0.120







292 A 3 3 1.00 25 0.120







293 A 2 2 1.00 25 0.080







294 A 3 3 1.00 25 0.120







295 A 4 3 1.00 25 0.120







296 A 10 7 1.00 25 0.280







297 A 1 1 1.00 25 0.040







298 A 2 2 1.00 25 0.080







299 A 3 2 1.00 25 0.080







300 A 10 7 1.00 21 0.333







301 A 11 8 1.00 21 0.381







302 A 11 8 1.00 21 0.381







303 A 12 8 1.00 21 0.381







304 A 1 1 1.00 21 0.048







305 A 1 1 1.00 21 0.048







306 A 1 1 1.00 12 0.083







307 A 1 1 1.00 21 0.048







308 A 1 1 1.00 21 0.048







309 A 1 1 1.00 21 0.048







310 A 1 1 1.00 21 0.048







311 A 1 1 1.00 12 0.083







312 A 1 1 1.00 21 0.048







313 A 1 1 1.00 21 0.048







314 A 1 1 1.00 21 0.048







315 A 1 1 1.00 21 0.048







316 A 1 1 1.00 12 0.083







317 A 1 1 1.00 21 0.048







318 A 1 1 1.00 21 0.048







319 A 1 1 1.00 21 0.048







320 A 1 1 1.00 21 0.048







321 A 1 1 1.00 12 0.083







322 A 1 1 1.00 21 0.048







323 A 1 1 1.00 21 0.048







324 A 8 8 1.00 21 0.381







325 A 11 7 1.00 21 0.333







326 A 12 8 1.00 21 0.381







327 A 9 9 1.00 21 0.429







328 A 9 9 1.00 21 0.429







329 A 8 8 1.00 21 0.381







330 A 11 7 1.00 21 0.333







331 A 12 8 1.00 21 0.381







332 A 9 9 1.00 21 0.429







333 A 9 9 1.00 21 0.429







334 A 1 1 1.00 13 0.077







335 A 1 1 1.00 13 0.077







336 A 1 1 1.00 17 0.059







337 A 1 1 1.00 19 0.053







338 A 1 1 1.00 19 0.053







339 A 1 1 1.00 21 0.048







340 A 3 2 1.00 19 0.105







341 A 3 2 1.00 19 0.105







342 A 2 2 1.00 17 0.118







343 A 2 2 1.00 17 0.118







344 A 2 2 1.00 19 0.105







345 A 1 1 1.00 19 0.053







346 A 1 1 1.00 19 0.053







347 A 1 1 1.00 10 0.100







348 A 1 1 1.00 19 0.053







349 A 1 1 1.00 19 0.053







350 A 1 1 1.00 23 0.043







351 A 1 1 1.00 23 0.043







352 A 1 1 1.00 23 0.043







353 A 1 1 1.00 23 0.043







354 A 1 1 1.00 23 0.043







355 A 3 2 1.00 19 0.105







356 A 3 2 1.00 19 0.105







357 A 2 2 1.00 17 0.118







358 A 2 2 1.00 17 0.118







359 A 2 2 1.00 19 0.105







360 A 2 2 1.00 19 0.105







361 A 1 1 1.00 19 0.053







362 A 1 1 1.00 19 0.053







363 A 1 1 1.00 10 0.100







364 A 1 1 1.00 19 0.053







365 A 1 1 1.00 19 0.053







366 A 1 1 1.00 23 0.043







367 A 1 1 1.00 23 0.043







368 A 1 1 1.00 23 0.043







369 A 1 1 1.00 23 0.043







370 A 1 1 1.00 23 0.043







371 A 3 2 1.00 21 0.095







372 A 3 2 1.00 21 0.095







373 A 3 2 1.00 21 0.095







374 A 2 2 1.00 19 0.105







375 A 5 5 1.00 19 0.263







376 A 6 6 1.00 21 0.286







377 A 7 6 1.00 21 0.286







378 A 5 3 1.00 21 0.143







379 A 4 3 1.00 21 0.143







380 A 3 3 1.00 21 0.143







381 A 2 2 1.00 12 0.167







382 A 3 3 1.00 21 0.143







383 A 4 3 1.00 21 0.143







384 A 5 3 1.00 21 0.143







385 A 3 2 1.00 21 0.095







386 A 3 2 1.00 21 0.095







387 A 3 2 1.00 21 0.095







388 A 2 2 1.00 19 0.105







389 A 6 6 1.00 19 0.316







390 A 7 7 1.00 21 0.333







391 A 5 4 1.00 21 0.190







392 A 4 4 1.00 21 0.190







393 A 3 3 1.00 21 0.143







394 A 3 3 1.00 12 0.250







395 A 4 4 1.00 21 0.190







396 A 5 4 1.00 21 0.190







397 A 3 2 1.00 21 0.095







398 A 3 2 1.00 21 0.095







399 A 3 2 1.00 21 0.095







400 A 2 2 1.00 19 0.105







401 A 6 6 1.00 19 0.316







402 A 7 7 1.00 21 0.333







403 A 8 7 1.00 21 0.333







404 A 5 4 1.00 21 0.190







405 A 4 4 1.00 21 0.190







406 A 3 3 1.00 21 0.143







407 A 3 3 1.00 12 0.250







408 A 4 4 1.00 21 0.190







409 A 5 4 1.00 21 0.190







410 A 3 2 1.00 21 0.095







411 A 3 2 1.00 21 0.095







412 A 3 2 1.00 21 0.095







413 A 2 2 1.00 19 0.105







414 A 5 5 1.00 19 0.263







415 A 6 6 1.00 21 0.286







416 A 7 6 1.00 21 0.286







417 A 5 3 1.00 21 0.143







418 A 4 3 1.00 21 0.143







419 A 3 3 1.00 21 0.143







420 A 2 2 1.00 12 0.167







421 A 3 3 1.00 21 0.143







422 A 4 3 1.00 21 0.143







423 A 5 3 1.00 21 0.143







424 A 3 2 1.00 21 0.095







425 A 3 2 1.00 21 0.095







426 A 3 2 1.00 21 0.095







427 A 2 2 1.00 19 0.105







428 A 6 6 1.00 19 0.316







429 A 6 6 1.00 21 0.286







430 A 7 7 1.00 21 0.333







431 A 5 4 1.00 21 0.190







432 A 4 4 1.00 21 0.190







433 A 3 3 1.00 12 0.250







434 A 3 3 1.00 21 0.143







435 A 4 4 1.00 21 0.190







436 A 5 4 1.00 21 0.190







437 A 3 2 1.00 21 0.095







438 A 3 2 1.00 21 0.095







439 A 3 2 1.00 21 0.095







440 A 2 2 1.00 19 0.105







441 A 6 6 1.00 19 0.316







442 A 6 6 1.00 21 0.286







443 A 7 7 1.00 21 0.333







444 A 5 4 1.00 21 0.190







445 A 4 4 1.00 21 0.190







446 A 3 3 1.00 12 0.250







447 A 3 3 1.00 21 0.143







448 A 4 4 1.00 21 0.190







449 A 5 4 1.00 21 0.190







450 A 13 9 1.00 25 0.360







451 A 12 9 1.00 25 0.360







452 A 11 8 1.00 25 0.320







453 A 1 1 1.00 25 0.040







454 A 2 2 1.00 25 0.080







455 A 3 2 1.00 25 0.080







456 A 5 4 1.00 25 0.160







457 A 4 4 1.00 25 0.160







458 A 3 3 1.00 25 0.120







459 A 4 4 1.00 25 0.160







460 A 5 4 1.00 25 0.160







461 A 5 4 1.00 23 0.174







462 A 4 4 1.00 23 0.174







463 A 3 3 1.00 23 0.130







464 A 4 4 1.00 23 0.174







465 A 5 4 1.00 23 0.174







466 A 12 9 1.00 23 0.391







467 A 11 8 1.00 23 0.348







468 A 1 1 1.00 23 0.043







469 A 2 2 1.00 23 0.087







470 A 3 2 1.00 23 0.087







471 A 4 2 1.00 23 0.087







472 A 14 10 1.00 25 0.400







473 A 13 10 1.00 25 0.400







474 A 12 9 1.00 25 0.360







475 A 12 9 1.00 25 0.360







476 A 1 1 1.00 25 0.040







477 A 6 5 1.00 25 0.200







478 A 5 5 1.00 25 0.200







479 A 4 4 1.00 25 0.160







480 A 4 4 1.00 25 0.160







481 A 5 5 1.00 25 0.200







482 A 6 5 1.00 25 0.200







483 A 2 2 1.00 23 0.087







484 A 2 2 1.00 23 0.087







485 A 2 2 1.00 23 0.087







486 A 2 2 1.00 23 0.087







487 A 2 2 1.00 23 0.087







488 A 2 2 1.00 17 0.118







489 A 2 2 1.00 19 0.105







490 A 2 2 1.00 19 0.105







491 A 2 2 1.00 21 0.095







492 A 3 2 1.00 19 0.105







493 A 3 2 1.00 19 0.105







494 A 2 2 1.00 17 0.118







495 A 2 2 1.00 17 0.118







496 A 2 2 1.00 19 0.105







497 A 2 2 1.00 19 0.105







498 A 2 2 1.00 19 0.105







499 A 2 2 1.00 19 0.105







500 A 2 2 1.00 10 0.200







501 A 2 2 1.00 19 0.105







502 A 2 2 1.00 19 0.105







503 A 2 2 1.00 23 0.087







504 A 2 2 1.00 23 0.087







505 A 2 2 1.00 23 0.087







506 A 2 2 1.00 23 0.087







507 A 5 4 1.00 21 0.190







508 A 4 4 1.00 21 0.190







509 A 4 4 1.00 21 0.190







510 A 3 3 1.00 19 0.158







511 A 2 2 1.00 12 0.167







512 A 4 4 1.00 19 0.210







513 A 4 4 1.00 21 0.190







514 A 5 4 1.00 21 0.190







515 A 5 4 1.00 21 0.190







516 A 4 4 1.00 21 0.190







517 A 4 4 1.00 21 0.190







518 A 3 3 1.00 21 0.143







519 A 3 3 1.00 19 0.158







520 A 3 3 1.00 12 0.250







521 A 4 4 1.00 19 0.210







522 A 5 4 1.00 21 0.190







523 A 5 4 1.00 21 0.190







524 A 4 4 1.00 21 0.190







525 A 4 4 1.00 19 0.210







526 A 2 2 1.00 12 0.167







527 A 3 3 1.00 19 0.158







528 A 4 4 1.00 21 0.190







529 A 4 4 1.00 21 0.190







530 A 5 4 1.00 21 0.190







531 A 4 4 1.00 19 0.210







532 A 3 3 1.00 12 0.250







533 A 3 3 1.00 19 0.158







534 A 3 3 1.00 21 0.143







535 A 4 4 1.00 21 0.190







536 A 4 4 1.00 21 0.190







537 A 5 4 1.00 21 0.190







538 A 2 2 1.00 21 0.095