Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 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, 359, 360, 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, 366 }

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, 496, 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, 252, 253, 254, 255, 256, 371, 372, 373, 374, 385, 386, 387, 388, 397, 398, 399, 400, 410, 411, 412, 413, 424, 425, 426, 427, 437, 438, 439, 440, 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, 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, 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, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 389, 390, 391, 392, 393, 394, 395, 396, 401, 402, 403, 404, 405, 406, 407, 408, 409, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 428, 429, 430, 431, 432, 433, 434, 435, 436, 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, 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, 179, 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, 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, 180, 181, 182, 184, 185, 186, 224, 226, 227, 228, 229, 230, 243, 244, 245, 246, 247, 248, 249, 250, 289, 290, 375, 376, 377, 389, 390, 401, 402, 403, 414, 415, 416, 428, 429, 430, 441, 442, 443, 468, 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, 262, 263, 267, 268, 269, 270, 271, 272, 276, 277, 278, 279, 280, 281, 282, 283, 287, 291, 292, 293, 294, 295, 296, 300, 301, 302, 303, 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: { 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, 62, 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, 227, 228, 229, 230, 231, 248, 249, 250, 251, 252, 253, 254, 255, 256, 342, 357, 371, 372, 373, 374, 375, 376, 377, 385, 386, 387, 388, 389, 390, 397, 398, 399, 401, 402, 403, 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, 340, 341, 355, 356, 400, 413 }

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, 226, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 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, 410, 411, 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 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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










Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 22 12 15 23 14 15
normalized size 1 1. 2. 1.09 1.36 2.09 1.27 1.36
time (sec) N/A 0.004 0.009 0.029 0.947 2.499 0.132 1.091


















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 23 27 32 55 46 24
normalized size 1 1. 0.92 1.08 1.28 2.2 1.84 0.96
time (sec) N/A 0.009 0.028 0.025 0.995 2.523 0.209 1.135


















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 29 22 30 55 37 34
normalized size 1 1. 1.07 0.81 1.11 2.04 1.37 1.26
time (sec) N/A 0.01 0.01 0.072 1.022 2.145 0.441 1.14


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 33 38 45 89 95 43
normalized size 1 1. 0.72 0.83 0.98 1.93 2.07 0.93
time (sec) N/A 0.02 0.04 0.044 1.009 2.315 0.979 1.102


















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 44 32 46 89 60 51
normalized size 1 1. 1.05 0.76 1.1 2.12 1.43 1.21
time (sec) N/A 0.013 0.012 0.037 0.995 2.185 1.838 1.122


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 45 48 65 120 139 62
normalized size 1 1. 0.67 0.72 0.97 1.79 2.07 0.93
time (sec) N/A 0.033 0.042 0.036 1.007 2.202 3.546 1.105


















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 59 42 59 115 80 68
normalized size 1 1. 1.09 0.78 1.09 2.13 1.48 1.26
time (sec) N/A 0.016 0.009 0.038 0.979 2.275 6.821 1.133


















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 55 58 80 155 184 81
normalized size 1 1. 0.62 0.66 0.91 1.76 2.09 0.92
time (sec) N/A 0.048 0.056 0.034 1.023 2.275 12.31 1.132


















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 45 84 0 0 0 0
normalized size 1 1. 0.75 1.4 0. 0. 0. 0.
time (sec) N/A 0.027 0.069 0.093 0. 0. 0. 0.


















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 35 118 0 0 0 0
normalized size 1 1. 0.85 2.88 0. 0. 0. 0.
time (sec) N/A 0.015 0.038 0.039 0. 0. 0. 0.


















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 33 72 0 0 0 0
normalized size 1 1. 0.8 1.76 0. 0. 0. 0.
time (sec) N/A 0.015 0.036 0.033 0. 0. 0. 0.


















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 21 77 0 0 0 0
normalized size 1 1. 1.11 4.05 0. 0. 0. 0.
time (sec) N/A 0.008 0.025 0.032 0. 0. 0. 0.


















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 21 57 0 0 0 0
normalized size 1 1. 1.11 3. 0. 0. 0. 0.
time (sec) N/A 0.008 0.025 0.034 0. 0. 0. 0.


















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 32 110 0 0 0 0
normalized size 1 1. 0.86 2.97 0. 0. 0. 0.
time (sec) N/A 0.013 0.053 0.039 0. 0. 0. 0.


















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 33 72 0 0 0 0
normalized size 1 1. 0.8 1.76 0. 0. 0. 0.
time (sec) N/A 0.015 0.049 0.036 0. 0. 0. 0.


















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 51 132 0 0 0 0
normalized size 1 1. 0.85 2.2 0. 0. 0. 0.
time (sec) N/A 0.024 0.05 0.037 0. 0. 0. 0.


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 55 104 0 0 0 0
normalized size 1 1. 0.79 1.49 0. 0. 0. 0.
time (sec) N/A 0.029 0.119 0.029 0. 0. 0. 0.


















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 44 142 0 0 0 0
normalized size 1 1. 0.94 3.02 0. 0. 0. 0.
time (sec) N/A 0.017 0.087 0.032 0. 0. 0. 0.


















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 40 88 0 0 0 0
normalized size 1 1. 0.85 1.87 0. 0. 0. 0.
time (sec) N/A 0.016 0.038 0.026 0. 0. 0. 0.


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 24 91 0 0 0 0
normalized size 1 1. 1.14 4.33 0. 0. 0. 0.
time (sec) N/A 0.008 0.017 0.026 0. 0. 0. 0.


















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 24 69 0 0 0 0
normalized size 1 1. 1.14 3.29 0. 0. 0. 0.
time (sec) N/A 0.008 0.019 0.023 0. 0. 0. 0.


















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 39 132 0 0 0 0
normalized size 1 1. 0.91 3.07 0. 0. 0. 0.
time (sec) N/A 0.015 0.075 0.027 0. 0. 0. 0.


















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 43 88 0 0 0 0
normalized size 1 1. 0.91 1.87 0. 0. 0. 0.
time (sec) N/A 0.016 0.104 0.026 0. 0. 0. 0.


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 55 160 0 0 0 0
normalized size 1 1. 0.79 2.29 0. 0. 0. 0.
time (sec) N/A 0.027 0.284 0.031 0. 0. 0. 0.


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 80 108 0 0 0 0
normalized size 1 1. 0.78 1.05 0. 0. 0. 0.
time (sec) N/A 0.052 0.153 0.042 0. 0. 0. 0.


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 66 152 0 0 0 0
normalized size 1 1. 0.88 2.03 0. 0. 0. 0.
time (sec) N/A 0.032 0.104 0.036 0. 0. 0. 0.


















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 62 97 0 0 0 0
normalized size 1 1. 0.83 1.29 0. 0. 0. 0.
time (sec) N/A 0.033 0.052 0.034 0. 0. 0. 0.


















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 42 98 0 0 0 0
normalized size 1 1. 0.98 2.28 0. 0. 0. 0.
time (sec) N/A 0.018 0.021 0.036 0. 0. 0. 0.


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 42 74 0 0 0 0
normalized size 1 1. 0.98 1.72 0. 0. 0. 0.
time (sec) N/A 0.018 0.027 0.032 0. 0. 0. 0.


















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 54 141 0 0 0 0
normalized size 1 1. 0.74 1.93 0. 0. 0. 0.
time (sec) N/A 0.032 0.047 0.043 0. 0. 0. 0.


















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 55 105 0 0 0 0
normalized size 1 1. 0.71 1.36 0. 0. 0. 0.
time (sec) N/A 0.033 0.075 0.04 0. 0. 0. 0.


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 68 168 0 0 0 0
normalized size 1 1. 0.65 1.6 0. 0. 0. 0.
time (sec) N/A 0.051 0.158 0.042 0. 0. 0. 0.


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.014 0.055 0.128 0. 0. 0. 0.


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.014 0.035 0.128 0. 0. 0. 0.


















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 517 58 55 0 0 0 0 0
normalized size 1 0.11 0.11 0. 0. 0. 0. 0.
time (sec) N/A 0.014 0.033 0.069 0. 0. 0. 0.


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 252 58 55 0 0 0 0 0
normalized size 1 0.23 0.22 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.045 0.058 0. 0. 0. 0.


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A C C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 271 56 53 0 0 0 0 0
normalized size 1 0.21 0.2 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.041 0.048 0. 0. 0. 0.


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 53 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.017 0.042 0.036 0. 0. 0. 0.


















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 63 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.043 0.47 0. 0. 0. 0.


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 63 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.018 0.04 0.433 0. 0. 0. 0.


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 76 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.03 0.079 0.861 0. 0. 0. 0.


















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 18 31 41 32
normalized size 1 1. 1. 0.93 1.2 2.07 2.73 2.13
time (sec) N/A 0.019 0.005 0.006 1.009 1.814 1.118 1.148


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 18 31 22 18
normalized size 1 1. 1. 0.93 1.2 2.07 1.47 1.2
time (sec) N/A 0.021 0.005 0.004 0.993 1.803 0.505 1.126


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 37 14 18 31 19 18
normalized size 1 1. 2.47 0.93 1.2 2.07 1.27 1.2
time (sec) N/A 0.011 0.013 0.001 1.013 1.676 0.231 1.149


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 12 24 31 0 24
normalized size 1 1. 1. 1. 2. 2.58 0. 2.
time (sec) N/A 0.004 0.006 0.01 0.988 1.926 0. 1.202


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 11 16 27 0 16
normalized size 1 1. 1. 1.1 1.6 2.7 0. 1.6
time (sec) N/A 0.011 0.007 0.009 0.974 1.877 0. 1.131


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 23 32 0 18
normalized size 1 1. 1. 0.93 1.53 2.13 0. 1.2
time (sec) N/A 0.019 0.01 0.008 0.99 1.675 0. 1.158


















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 18 32 0 18
normalized size 1 1. 1. 0.93 1.2 2.13 0. 1.2
time (sec) N/A 0.019 0.008 0.008 1.022 1.823 0. 1.182


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 47 60 62 142 88 73
normalized size 1 1. 0.77 0.98 1.02 2.33 1.44 1.2
time (sec) N/A 0.043 0.156 0.039 0.999 1.981 22.218 1.231


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 37 50 49 115 66 73
normalized size 1 1. 0.8 1.09 1.07 2.5 1.43 1.59
time (sec) N/A 0.038 0.092 0.034 0.985 1.915 7.791 1.149


















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 27 40 35 84 44 35
normalized size 1 1. 0.87 1.29 1.13 2.71 1.42 1.13
time (sec) N/A 0.035 0.059 0.036 0.987 1.973 2.1 1.234


















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 18 57 20 18
normalized size 1 1. 1. 0.93 1.2 3.8 1.33 1.2
time (sec) N/A 0.018 0.004 0.003 0.977 1.858 0.515 1.223


















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 23 19 24 72 0 24
normalized size 1 1. 1.64 1.36 1.71 5.14 0. 1.71
time (sec) N/A 0.008 0.007 0.016 1.49 1.824 0. 1.132


















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 22 18 80 0 18
normalized size 1 1. 1. 1.47 1.2 5.33 0. 1.2
time (sec) N/A 0.03 0.007 0.019 1.023 1.735 0. 1.163


















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 56 42 35 107 0 35
normalized size 1 1. 1.81 1.35 1.13 3.45 0. 1.13
time (sec) N/A 0.034 0.041 0.02 0.992 1.792 0. 1.158


















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 77 60 49 138 0 49
normalized size 1 1. 1.67 1.3 1.07 3. 0. 1.07
time (sec) N/A 0.039 0.043 0.022 0.989 1.845 0. 1.174


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 98 78 62 165 0 62
normalized size 1 1. 1.61 1.28 1.02 2.7 0. 1.02
time (sec) N/A 0.04 0.035 0.023 0.979 1.595 0. 1.204


















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 52 64 65 149 189 81
normalized size 1 1. 0.59 0.73 0.74 1.69 2.15 0.92
time (sec) N/A 0.066 0.144 0.039 0.998 1.622 12.097 1.175


















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 40 54 50 116 136 62
normalized size 1 1. 0.6 0.81 0.75 1.73 2.03 0.93
time (sec) N/A 0.051 0.088 0.037 1.012 1.538 3.694 1.202


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 23 43 32 84 92 24
normalized size 1 1. 0.5 0.93 0.7 1.83 2. 0.52
time (sec) N/A 0.04 0.033 0.012 0.974 1.575 1.017 1.159


















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 23 27 32 55 46 24
normalized size 1 1. 0.92 1.08 1.28 2.2 1.84 0.96
time (sec) N/A 0.009 0.024 0. 0.96 1.561 0.216 1.137


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 31 46 99 0 49
normalized size 1 1. 1. 1.35 2. 4.3 0. 2.13
time (sec) N/A 0.015 0.011 0.017 0.991 1.685 0. 1.241


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 34 53 62 163 0 65
normalized size 1 1. 1. 1.56 1.82 4.79 0. 1.91
time (sec) N/A 0.023 0.014 0.019 0.979 1.634 0. 1.293


















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 55 74 88 193 0 111
normalized size 1 1. 1. 1.35 1.6 3.51 0. 2.02
time (sec) N/A 0.045 0.045 0.021 1.043 1.707 0. 1.258


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 76 95 123 227 0 99
normalized size 1 1. 1. 1.25 1.62 2.99 0. 1.3
time (sec) N/A 0.059 0.065 0.023 1. 1.739 0. 1.226


















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 48 34 49 62 63 36
normalized size 1 1. 1.55 1.1 1.58 2. 2.03 1.16
time (sec) N/A 0.033 0.129 0.01 0.97 1.695 12.261 1.169


















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 27 34 35 62 46 36
normalized size 1 1. 0.87 1.1 1.13 2. 1.48 1.16
time (sec) N/A 0.034 0.091 0.013 0.981 1.666 7.054 1.166


















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 35 34 35 62 42 35
normalized size 1 1. 1.13 1.1 1.13 2. 1.35 1.13
time (sec) N/A 0.033 0.015 0.01 0.985 1.615 3.582 1.236


















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 27 34 35 62 46 36
normalized size 1 1. 0.87 1.1 1.13 2. 1.48 1.16
time (sec) N/A 0.032 0.062 0.012 0.979 1.638 2.135 1.246


















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 18 58 20 18
normalized size 1 1. 1. 0.93 1.2 3.87 1.33 1.2
time (sec) N/A 0.018 0.003 0.003 0.976 1.552 0.98 1.21


















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 25 27 34 63 0 39
normalized size 1 1. 0.89 0.96 1.21 2.25 0. 1.39
time (sec) N/A 0.021 0.017 0.016 0.975 1.657 0. 1.206


















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 40 26 53 0 31
normalized size 1 1. 1. 1.9 1.24 2.52 0. 1.48
time (sec) N/A 0.021 0.022 0.014 0.988 1.572 0. 1.192


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 25 26 42 89 0 57
normalized size 1 1. 0.93 0.96 1.56 3.3 0. 2.11
time (sec) N/A 0.011 0.024 0.019 1.001 1.637 0. 1.186


















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 60 34 65 0 34
normalized size 1 1. 1. 2.22 1.26 2.41 0. 1.26
time (sec) N/A 0.02 0.023 0.02 1.011 1.554 0. 1.168


















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 22 53 65 0 34
normalized size 1 1. 1. 1.47 3.53 4.33 0. 2.27
time (sec) N/A 0.028 0.005 0.019 0.979 1.599 0. 1.194


















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 78 34 66 0 34
normalized size 1 1. 1. 2.52 1.1 2.13 0. 1.1
time (sec) N/A 0.032 0.048 0.019 0.976 1.608 0. 1.186


















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 28 42 66 66 0 34
normalized size 1 1. 0.9 1.35 2.13 2.13 0. 1.1
time (sec) N/A 0.033 0.035 0.02 0.995 1.575 0. 1.19


















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 96 34 66 0 34
normalized size 1 1. 1. 3.1 1.1 2.13 0. 1.1
time (sec) N/A 0.032 0.028 0.021 1.017 1.675 0. 1.176


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 28 60 80 66 0 34
normalized size 1 1. 0.9 1.94 2.58 2.13 0. 1.1
time (sec) N/A 0.032 0.042 0.02 1.031 1.632 0. 1.201


















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 47 78 62 173 88 111
normalized size 1 1. 0.77 1.28 1.02 2.84 1.44 1.82
time (sec) N/A 0.04 0.201 0.011 0.982 1.719 59.681 1.168


















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 37 68 49 140 66 92
normalized size 1 1. 0.8 1.48 1.07 3.04 1.43 2.
time (sec) N/A 0.036 0.111 0.013 0.99 1.683 21.526 1.15


















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 27 58 35 108 44 35
normalized size 1 1. 0.87 1.87 1.13 3.48 1.42 1.13
time (sec) N/A 0.032 0.07 0.013 0.978 1.605 7.484 1.156


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 18 81 20 18
normalized size 1 1. 1. 0.93 1.2 5.4 1.33 1.2
time (sec) N/A 0.018 0.003 0.003 0.987 1.565 2.027 1.15


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 31 54 55 108 0 55
normalized size 1 1. 0.78 1.35 1.38 2.7 0. 1.38
time (sec) N/A 0.039 0.113 0.017 1.486 1.607 0. 1.237


















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 38 28 39 115 0 39
normalized size 1 1. 1.36 1. 1.39 4.11 0. 1.39
time (sec) N/A 0.016 0.009 0.02 1.502 1.648 0. 1.697


















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 22 18 104 0 18
normalized size 1 1. 1. 1.47 1.2 6.93 0. 1.2
time (sec) N/A 0.028 0.007 0.019 0.994 1.538 0. 1.143


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 77 42 35 131 0 35
normalized size 1 1. 2.48 1.35 1.13 4.23 0. 1.13
time (sec) N/A 0.032 0.035 0.023 1.007 1.623 0. 1.186


















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 98 60 49 163 0 49
normalized size 1 1. 2.13 1.3 1.07 3.54 0. 1.07
time (sec) N/A 0.036 0.039 0.023 0.988 1.661 0. 1.169


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 62 82 65 180 231 100
normalized size 1 1. 0.56 0.74 0.59 1.62 2.08 0.9
time (sec) N/A 0.097 0.196 0.011 1.008 1.719 32.538 1.146


















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 33 72 45 146 189 43
normalized size 1 1. 0.37 0.8 0.5 1.62 2.1 0.48
time (sec) N/A 0.083 0.044 0.012 0.997 1.605 12.39 1.161


















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 40 61 50 117 136 62
normalized size 1 1. 0.58 0.88 0.72 1.7 1.97 0.9
time (sec) N/A 0.068 0.067 0.01 1.11 1.665 3.845 1.175


















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 33 38 45 89 95 43
normalized size 1 1. 0.72 0.83 0.98 1.93 2.07 0.93
time (sec) N/A 0.02 0.017 0. 1.149 1.617 1.01 1.133


















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 44 62 132 0 65
normalized size 1 1. 1. 1.16 1.63 3.47 0. 1.71
time (sec) N/A 0.027 0.015 0.016 1.031 1.705 0. 1.173


















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 40 66 76 200 0 78
normalized size 1 1. 0.82 1.35 1.55 4.08 0. 1.59
time (sec) N/A 0.029 0.091 0.02 1.012 1.73 0. 1.199


















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 45 87 96 200 0 85
normalized size 1 1. 0.82 1.58 1.75 3.64 0. 1.55
time (sec) N/A 0.042 0.121 0.019 1.061 1.682 0. 1.214


















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 99 108 123 227 0 99
normalized size 1 1. 1.27 1.38 1.58 2.91 0. 1.27
time (sec) N/A 0.075 0.028 0.021 1.148 1.752 0. 1.187


















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 64 129 150 255 0 144
normalized size 1 1. 0.65 1.3 1.52 2.58 0. 1.45
time (sec) N/A 0.089 0.313 0.022 1.083 1.769 0. 1.22


















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 68 52 62 97 83 115
normalized size 1 1. 1.48 1.13 1.35 2.11 1.8 2.5
time (sec) N/A 0.041 0.379 0.013 1.027 1.701 81.059 1.175


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 37 52 49 97 68 111
normalized size 1 1. 0.8 1.13 1.07 2.11 1.48 2.41
time (sec) N/A 0.036 0.273 0.013 0.989 1.741 54.047 1.14


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 50 52 49 93 63 58
normalized size 1 1. 1.09 1.13 1.07 2.02 1.37 1.26
time (sec) N/A 0.04 0.027 0.013 0.997 1.677 31.496 1.119


















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 37 52 49 95 68 92
normalized size 1 1. 0.8 1.13 1.07 2.07 1.48 2.
time (sec) N/A 0.036 0.143 0.015 0.996 1.71 19.904 1.133


















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 48 52 35 89 42 35
normalized size 1 1. 1.55 1.68 1.13 2.87 1.35 1.13
time (sec) N/A 0.032 0.12 0.011 1.001 1.695 11.609 1.148


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 37 52 49 95 68 73
normalized size 1 1. 0.8 1.13 1.07 2.07 1.48 1.59
time (sec) N/A 0.035 0.09 0.012 0.982 1.598 6.948 1.167


















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 18 85 20 18
normalized size 1 1. 1. 0.93 1.2 5.67 1.33 1.2
time (sec) N/A 0.017 0.004 0.004 0.964 1.508 3.411 1.145


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 35 40 50 90 0 305
normalized size 1 1. 0.88 1. 1.25 2.25 0. 7.62
time (sec) N/A 0.026 0.033 0.014 0.957 1.705 0. 1.189


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 39 50 43 85 0 134
normalized size 1 1. 1.05 1.35 1.16 2.3 0. 3.62
time (sec) N/A 0.034 0.033 0.017 0.966 1.571 0. 1.14


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 33 60 55 139 0 246
normalized size 1 1. 0.77 1.4 1.28 3.23 0. 5.72
time (sec) N/A 0.038 0.04 0.021 0.958 1.626 0. 1.2


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 70 47 90 0 135
normalized size 1 1. 1. 1.84 1.24 2.37 0. 3.55
time (sec) N/A 0.025 0.025 0.021 0.97 1.638 0. 1.178


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 37 40 73 116 0 305
normalized size 1 1. 0.86 0.93 1.7 2.7 0. 7.09
time (sec) N/A 0.021 0.052 0.026 0.965 1.674 0. 1.226


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 41 88 47 93 0 97
normalized size 1 1. 1. 2.15 1.15 2.27 0. 2.37
time (sec) N/A 0.023 0.028 0.023 1.009 1.582 0. 1.16


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 22 80 89 0 65
normalized size 1 1. 1. 1.47 5.33 5.93 0. 4.33
time (sec) N/A 0.027 0.009 0.03 0.965 1.523 0. 1.181


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 106 47 96 0 157
normalized size 1 1. 1. 2.3 1.02 2.09 0. 3.41
time (sec) N/A 0.036 0.032 0.023 0.958 1.513 0. 1.169


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 38 42 93 90 0 126
normalized size 1 1. 1.23 1.35 3. 2.9 0. 4.06
time (sec) N/A 0.031 0.055 0.023 0.988 1.537 0. 1.199


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 124 47 96 0 216
normalized size 1 1. 1. 2.7 1.02 2.09 0. 4.7
time (sec) N/A 0.035 0.033 0.023 0.987 1.576 0. 1.179


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 38 60 107 95 0 188
normalized size 1 1. 0.83 1.3 2.33 2.07 0. 4.09
time (sec) N/A 0.039 0.059 0.023 0.973 1.593 0. 1.191


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 142 47 99 0 275
normalized size 1 1. 1. 3.09 1.02 2.15 0. 5.98
time (sec) N/A 0.035 0.033 0.024 0.974 1.61 0. 1.193


















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 38 78 120 97 0 247
normalized size 1 1. 0.83 1.7 2.61 2.11 0. 5.37
time (sec) N/A 0.04 0.129 0.026 0.974 1.642 0. 1.203


















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 52 79 89 231 0 92
normalized size 1 1. 0.79 1.2 1.35 3.5 0. 1.39
time (sec) N/A 0.047 0.186 0.022 0.96 1.764 0. 1.227


















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 96 61 116 0 194
normalized size 1 1. 1. 1.92 1.22 2.32 0. 3.88
time (sec) N/A 0.028 0.04 0.026 0.975 1.585 0. 1.217


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 75 58 76 178 1085 196
normalized size 1 1. 1.42 1.09 1.43 3.36 20.47 3.7
time (sec) N/A 0.029 0.032 0.016 1.032 1.735 11.017 1.177


















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 39 47 93 1086 230
normalized size 1 1. 1. 0.98 1.18 2.32 27.15 5.75
time (sec) N/A 0.027 0.015 0.016 0.973 1.722 6.079 1.165


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 60 45 62 146 410 136
normalized size 1 1. 1.58 1.18 1.63 3.84 10.79 3.58
time (sec) N/A 0.026 0.025 0.011 0.958 1.67 3.415 1.163


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 26 34 68 369 34
normalized size 1 1. 1. 0.96 1.26 2.52 13.67 1.26
time (sec) N/A 0.021 0.014 0.016 0.96 1.679 1.935 1.171


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 42 32 46 115 92 77
normalized size 1 1. 1.83 1.39 2. 5. 4. 3.35
time (sec) N/A 0.015 0.015 0.013 0.977 1.603 1.072 1.216


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 19 12 15 34 17 16
normalized size 1 1. 1.73 1.09 1.36 3.09 1.55 1.45
time (sec) N/A 0.004 0.011 0.004 0.971 1.655 0.412 1.184


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 31 12 38 85 0 76
normalized size 1 1. 2.82 1.09 3.45 7.73 0. 6.91
time (sec) N/A 0.01 0.021 0.017 0.977 1.894 0. 1.199


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 42 34 49 154 0 74
normalized size 1 1. 1.83 1.48 2.13 6.7 0. 3.22
time (sec) N/A 0.022 0.026 0.017 0.986 1.609 0. 1.198


















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 36 26 54 154 0 167
normalized size 1 1. 1.33 0.96 2. 5.7 0. 6.19
time (sec) N/A 0.02 0.031 0.022 1.049 1.688 0. 1.22


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 57 47 68 193 0 136
normalized size 1 1. 1.5 1.24 1.79 5.08 0. 3.58
time (sec) N/A 0.026 0.023 0.022 1.014 1.623 0. 1.235


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 46 39 88 185 0 230
normalized size 1 1. 1.18 1. 2.26 4.74 0. 5.9
time (sec) N/A 0.026 0.091 0.023 0.974 1.743 0. 1.19


















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 72 60 81 225 0 196
normalized size 1 1. 1.36 1.13 1.53 4.25 0. 3.7
time (sec) N/A 0.028 0.023 0.026 0.964 1.697 0. 1.196


















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 56 52 115 212 0 289
normalized size 1 1. 0.98 0.91 2.02 3.72 0. 5.07
time (sec) N/A 0.031 0.146 0.025 1.008 1.717 0. 1.225


















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 62 57 111 82 57
normalized size 1 1. 1. 1.24 1.14 2.22 1.64 1.14
time (sec) N/A 0.038 0.026 0.013 0.986 1.959 8.109 1.19


















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 41 66 85 135 119 74
normalized size 1 1. 0.67 1.08 1.39 2.21 1.95 1.21
time (sec) N/A 0.046 0.138 0.011 1.485 1.842 4.808 1.245


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 52 43 84 61 43
normalized size 1 1. 1. 1.37 1.13 2.21 1.61 1.13
time (sec) N/A 0.034 0.017 0.012 0.99 1.782 2.675 1.153


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 31 56 58 104 75 58
normalized size 1 1. 0.78 1.4 1.45 2.6 1.88 1.45
time (sec) N/A 0.037 0.134 0.012 1.483 1.825 1.636 1.16


















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 42 27 53 39 27
normalized size 1 1. 1. 1.83 1.17 2.3 1.7 1.17
time (sec) N/A 0.02 0.012 0.011 0.992 1.834 0.983 1.132


















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 29 21 24 72 29 47
normalized size 1 1. 1.93 1.4 1.6 4.8 1.93 3.13
time (sec) N/A 0.008 0.013 0.01 1.479 1.937 0.694 1.169


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 14 18 28 20 18
normalized size 1 1. 1. 1.27 1.64 2.55 1.82 1.64
time (sec) N/A 0.009 0.008 0.002 0.995 1.811 0.685 1.152


















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 27 33 49 136 0 51
normalized size 1 1. 1.17 1.43 2.13 5.91 0. 2.22
time (sec) N/A 0.022 0.015 0.017 0.99 1.989 0. 1.198


















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 13 31 30 74 0 22
normalized size 1 1. 0.59 1.41 1.36 3.36 0. 1.
time (sec) N/A 0.03 0.017 0.044 0.986 1.795 0. 1.143


















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 27 55 82 228 0 85
normalized size 1 1. 0.55 1.12 1.67 4.65 0. 1.73
time (sec) N/A 0.043 0.013 0.023 1.017 1.982 0. 1.22


















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 46 50 43 108 0 43
normalized size 1 1. 1.21 1.32 1.13 2.84 0. 1.13
time (sec) N/A 0.037 0.033 0.022 0.986 1.785 0. 1.199


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 27 76 107 261 0 99
normalized size 1 1. 0.39 1.09 1.53 3.73 0. 1.41
time (sec) N/A 0.047 0.014 0.029 1. 2.099 0. 1.22


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 45 74 61 190 1484 312
normalized size 1 1. 0.78 1.28 1.05 3.28 25.59 5.38
time (sec) N/A 0.044 0.102 0.014 0.972 2.024 22.474 1.245


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 103 81 89 265 719 220
normalized size 1 1. 1.56 1.23 1.35 4.02 10.89 3.33
time (sec) N/A 0.045 0.039 0.013 0.977 2.046 11.723 1.168


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 35 61 47 159 614 252
normalized size 1 1. 0.81 1.42 1.09 3.7 14.28 5.86
time (sec) N/A 0.039 0.062 0.013 0.974 1.942 6.341 1.211


















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 86 68 76 232 241 189
normalized size 1 1. 1.76 1.39 1.55 4.73 4.92 3.86
time (sec) N/A 0.029 0.027 0.013 1.018 2.035 3.358 1.185


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 34 27 31 108 42 49
normalized size 1 1. 1.21 0.96 1.11 3.86 1.5 1.75
time (sec) N/A 0.013 0.095 0.011 0.978 2.395 1.005 1.137


















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 75 55 62 200 58 126
normalized size 1 1. 2.21 1.62 1.82 5.88 1.71 3.71
time (sec) N/A 0.023 0.027 0.01 0.982 2.575 1.641 1.178


















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 18 38 24 18
normalized size 1 1. 1. 0.93 1.2 2.53 1.6 1.2
time (sec) N/A 0.018 0.012 0.004 0.961 2.49 0.977 1.131


















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 34 26 49 176 0 161
normalized size 1 1. 1.26 0.96 1.81 6.52 0. 5.96
time (sec) N/A 0.022 0.042 0.018 0.999 2.382 0. 1.167


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 143 57 82 261 0 189
normalized size 1 1. 2.92 1.16 1.67 5.33 0. 3.86
time (sec) N/A 0.043 0.248 0.017 0.97 2.256 0. 1.206


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 61 48 86 261 0 254
normalized size 1 1. 1.42 1.12 2. 6.07 0. 5.91
time (sec) N/A 0.038 0.018 0.02 1.002 2.211 0. 1.24


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 205 78 99 301 0 220
normalized size 1 1. 3.11 1.18 1.5 4.56 0. 3.33
time (sec) N/A 0.043 0.422 0.023 0.998 2.33 0. 1.179


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 56 69 111 286 0 313
normalized size 1 1. 0.97 1.19 1.91 4.93 0. 5.4
time (sec) N/A 0.043 0.225 0.024 1.006 2.378 0. 1.23


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 68 90 76 176 105 76
normalized size 1 1. 1. 1.32 1.12 2.59 1.54 1.12
time (sec) N/A 0.044 0.038 0.043 0.99 2.272 24.745 1.19


















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 53 94 101 230 141 92
normalized size 1 1. 0.66 1.18 1.26 2.88 1.76 1.15
time (sec) N/A 0.048 0.281 0.042 1.492 2.326 15.645 1.186


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 53 80 59 142 82 55
normalized size 1 1. 1. 1.51 1.11 2.68 1.55 1.04
time (sec) N/A 0.04 0.026 0.012 0.984 2.347 8.077 1.166


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 43 84 74 197 97 74
normalized size 1 1. 0.75 1.47 1.3 3.46 1.7 1.3
time (sec) N/A 0.041 0.177 0.012 1.485 2.234 4.735 1.155


















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 68 47 117 63 47
normalized size 1 1. 1. 1.84 1.27 3.16 1.7 1.27
time (sec) N/A 0.025 0.019 0.012 0.99 2.172 2.756 1.163


















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 33 26 46 166 48 84
normalized size 1 1. 1.22 0.96 1.7 6.15 1.78 3.11
time (sec) N/A 0.017 0.009 0.014 1.48 2.09 1.673 1.167


















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 60 34 89 42 34
normalized size 1 1. 1. 2.31 1.31 3.42 1.62 1.31
time (sec) N/A 0.021 0.014 0.013 0.993 2.095 1.629 1.129


















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 22 18 78 71 18
normalized size 1 1. 1. 1.47 1.2 5.2 4.73 1.2
time (sec) N/A 0.029 0.01 0.012 0.993 2.113 2.841 1.178


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 18 58 24 18
normalized size 1 1. 1. 0.93 1.2 3.87 1.6 1.2
time (sec) N/A 0.018 0.01 0.003 0.973 2.074 1.477 1.116


















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 31 46 68 252 0 70
normalized size 1 1. 0.82 1.21 1.79 6.63 0. 1.84
time (sec) N/A 0.026 0.013 0.021 0.98 2.242 0. 1.175


















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 45 50 47 135 0 47
normalized size 1 1. 1.22 1.35 1.27 3.65 0. 1.27
time (sec) N/A 0.035 0.035 0.021 0.969 2.097 0. 1.16


















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 31 76 99 342 0 97
normalized size 1 1. 0.47 1.15 1.5 5.18 0. 1.47
time (sec) N/A 0.042 0.013 0.026 1.009 2.285 0. 1.204


















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 43 68 59 165 0 42
normalized size 1 1. 0.81 1.28 1.11 3.11 0. 0.79
time (sec) N/A 0.038 0.019 0.026 1.016 2.149 0. 1.146


















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 31 97 123 375 0 115
normalized size 1 1. 0.35 1.09 1.38 4.21 0. 1.29
time (sec) N/A 0.049 0.014 0.026 0.996 2.337 0. 1.213


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 55 107 76 274 1664 374
normalized size 1 1. 0.8 1.55 1.1 3.97 24.12 5.42
time (sec) N/A 0.048 0.109 0.012 0.968 2.428 59.755 1.214


















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 141 115 120 378 869 282
normalized size 1 1. 1.58 1.29 1.35 4.25 9.76 3.17
time (sec) N/A 0.05 0.041 0.011 0.967 2.444 33.469 1.209


















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 47 95 66 239 733 313
normalized size 1 1. 0.81 1.64 1.14 4.12 12.64 5.4
time (sec) N/A 0.043 0.154 0.013 0.961 2.249 18.965 1.205


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 123 102 107 344 330 221
normalized size 1 1. 1.76 1.46 1.53 4.91 4.71 3.16
time (sec) N/A 0.036 0.031 0.012 0.978 2.301 9.934 1.191


















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 46 39 51 188 61 221
normalized size 1 1. 1.1 0.93 1.21 4.48 1.45 5.26
time (sec) N/A 0.021 0.105 0.013 0.97 2.344 2.703 1.214


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 113 89 96 315 92 188
normalized size 1 1. 2.05 1.62 1.75 5.73 1.67 3.42
time (sec) N/A 0.042 0.031 0.012 0.982 2.141 4.94 1.187


















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 22 34 99 44 34
normalized size 1 1. 1. 1.47 2.27 6.6 2.93 2.27
time (sec) N/A 0.028 0.007 0.01 0.989 1.729 2.67 1.129


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 113 76 88 308 58 132
normalized size 1 1. 2.05 1.38 1.6 5.6 1.05 2.4
time (sec) N/A 0.045 0.034 0.011 0.971 1.951 4.732 1.162


















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 14 18 68 24 18
normalized size 1 1. 1. 0.93 1.2 4.53 1.6 1.2
time (sec) N/A 0.018 0.009 0.003 0.983 1.698 2.461 1.141


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 44 39 69 285 0 223
normalized size 1 1. 1.1 0.98 1.72 7.12 0. 5.58
time (sec) N/A 0.027 0.111 0.02 0.971 1.866 0. 1.336


















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 129 78 107 374 0 220
normalized size 1 1. 1.84 1.11 1.53 5.34 0. 3.14
time (sec) N/A 0.043 4.559 0.022 0.969 1.989 0. 1.182


















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 54 69 100 366 0 313
normalized size 1 1. 0.93 1.19 1.72 6.31 0. 5.4
time (sec) N/A 0.04 0.341 0.026 0.985 1.928 0. 1.246


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 268 99 123 416 0 282
normalized size 1 1. 3.01 1.11 1.38 4.67 0. 3.17
time (sec) N/A 0.046 0.504 0.025 0.973 1.897 0. 1.22


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 91 90 124 397 0 375
normalized size 1 1. 1.32 1.3 1.8 5.75 0. 5.43
time (sec) N/A 0.046 0.028 0.026 0.973 1.947 0. 1.242


















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 27 22 19 93 29 19
normalized size 1 1. 1.59 1.29 1.12 5.47 1.71 1.12
time (sec) N/A 0.026 0.022 0.007 0.959 1.771 0.061 1.127


















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 22 19 86 14 24
normalized size 1 1. 1. 1.29 1.12 5.06 0.82 1.41
time (sec) N/A 0.026 0.008 0.007 0.96 1.742 0.102 1.137


















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 19 24 62 34 0
normalized size 1 1. 1. 0.86 1.09 2.82 1.55 0.
time (sec) N/A 0.025 0.033 0.007 0.975 1.956 63.5 0.


















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 19 24 57 34 28
normalized size 1 1. 1. 0.86 1.09 2.59 1.55 1.27
time (sec) N/A 0.022 0.017 0.006 0.958 1.91 1.587 1.125


















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 19 24 42 32 24
normalized size 1 1. 1. 0.95 1.2 2.1 1.6 1.2
time (sec) N/A 0.023 0.015 0.008 0.983 1.909 1.236 1.209


















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 19 24 61 31 24
normalized size 1 1. 1. 0.95 1.2 3.05 1.55 1.2
time (sec) N/A 0.026 0.024 0.004 0.979 1.842 6.079 1.17


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 19 24 66 32 35
normalized size 1 1. 1. 0.86 1.09 3. 1.45 1.59
time (sec) N/A 0.027 0.028 0.006 0.977 1.827 66.857 1.164


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 19 24 66 0 35
normalized size 1 1. 1. 0.86 1.09 3. 0. 1.59
time (sec) N/A 0.026 0.039 0.004 0.961 1.765 0. 1.155


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 19 24 66 0 35
normalized size 1 1. 1. 0.86 1.09 3. 0. 1.59
time (sec) N/A 0.027 0.063 0.004 0.976 1.721 0. 1.183


















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 60 249 0 0 0 0
normalized size 1 1. 0.48 1.98 0. 0. 0. 0.
time (sec) N/A 0.101 0.136 0.095 0. 0. 0. 0.


















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 60 236 0 0 0 0
normalized size 1 1. 0.48 1.87 0. 0. 0. 0.
time (sec) N/A 0.098 0.134 0.059 0. 0. 0. 0.


















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 57 223 0 0 0 0
normalized size 1 1. 0.58 2.28 0. 0. 0. 0.
time (sec) N/A 0.078 0.05 0.063 0. 0. 0. 0.


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 57 208 0 0 0 0
normalized size 1 1. 0.58 2.12 0. 0. 0. 0.
time (sec) N/A 0.079 0.071 0.052 0. 0. 0. 0.


















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 58 194 0 0 0 0
normalized size 1 1. 0.84 2.81 0. 0. 0. 0.
time (sec) N/A 0.056 0.086 0.052 0. 0. 0. 0.


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 58 188 0 0 0 0
normalized size 1 1. 0.84 2.72 0. 0. 0. 0.
time (sec) N/A 0.058 0.105 0.053 0. 0. 0. 0.


















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 60 168 0 0 0 0
normalized size 1 1. 0.88 2.47 0. 0. 0. 0.
time (sec) N/A 0.064 0.082 0.065 0. 0. 0. 0.


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 60 242 0 0 0 0
normalized size 1 1. 0.83 3.36 0. 0. 0. 0.
time (sec) N/A 0.064 0.081 0.063 0. 0. 0. 0.


















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 59 365 0 0 0 0
normalized size 1 1. 0.59 3.65 0. 0. 0. 0.
time (sec) N/A 0.082 0.078 0.091 0. 0. 0. 0.


















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 59 396 0 0 0 0
normalized size 1 1. 0.59 3.96 0. 0. 0. 0.
time (sec) N/A 0.082 0.064 0.068 0. 0. 0. 0.


















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 57 63 49 88 65 49
normalized size 1 1. 1.27 1.4 1.09 1.96 1.44 1.09
time (sec) N/A 0.042 0.323 0.043 0.974 1.895 11.453 87.946


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 57 92 49 72 63 62
normalized size 1 1. 1.33 2.14 1.14 1.67 1.47 1.44
time (sec) N/A 0.046 0.179 0.033 0.984 1.875 5.357 1.186


















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 46 70 47 92 61 57
normalized size 1 1. 1.07 1.63 1.09 2.14 1.42 1.33
time (sec) N/A 0.051 0.075 0.1 0.983 1.872 6.164 1.201


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 48 85 46 97 63 55
normalized size 1 1. 1.12 1.98 1.07 2.26 1.47 1.28
time (sec) N/A 0.052 0.111 0.089 0.971 2.295 67.283 1.182


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 70 98 50 99 0 61
normalized size 1 1. 1.63 2.28 1.16 2.3 0. 1.42
time (sec) N/A 0.051 0.246 0.103 0.962 2.122 0. 1.18


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 70 111 50 100 0 61
normalized size 1 1. 1.56 2.47 1.11 2.22 0. 1.36
time (sec) N/A 0.05 0.279 0.149 0.973 2.068 0. 1.188


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 94 124 50 100 0 61
normalized size 1 1. 2.09 2.76 1.11 2.22 0. 1.36
time (sec) N/A 0.051 0.548 0.178 0.977 2.178 0. 1.213


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 57 275 0 0 0 0
normalized size 1 1. 0.37 1.76 0. 0. 0. 0.
time (sec) N/A 0.149 0.131 0.069 0. 0. 0. 0.


















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 57 262 0 0 0 0
normalized size 1 1. 0.37 1.68 0. 0. 0. 0.
time (sec) N/A 0.147 0.097 0.062 0. 0. 0. 0.


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 65 249 0 0 0 0
normalized size 1 1. 0.51 1.95 0. 0. 0. 0.
time (sec) N/A 0.126 0.074 0.06 0. 0. 0. 0.


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 65 255 0 0 0 0
normalized size 1 1. 0.51 1.99 0. 0. 0. 0.
time (sec) N/A 0.133 0.108 0.068 0. 0. 0. 0.


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 58 221 0 0 0 0
normalized size 1 1. 0.59 2.23 0. 0. 0. 0.
time (sec) N/A 0.096 0.065 0.059 0. 0. 0. 0.


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 58 208 0 0 0 0
normalized size 1 1. 0.59 2.1 0. 0. 0. 0.
time (sec) N/A 0.098 0.07 0.063 0. 0. 0. 0.


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 60 213 0 0 0 0
normalized size 1 1. 0.6 2.13 0. 0. 0. 0.
time (sec) N/A 0.105 0.059 0.068 0. 0. 0. 0.


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 60 286 0 0 0 0
normalized size 1 1. 0.59 2.8 0. 0. 0. 0.
time (sec) N/A 0.106 0.069 0.064 0. 0. 0. 0.


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 65 366 0 0 0 0
normalized size 1 1. 0.64 3.59 0. 0. 0. 0.
time (sec) N/A 0.113 0.071 0.096 0. 0. 0. 0.


















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 65 398 0 0 0 0
normalized size 1 1. 0.64 3.9 0. 0. 0. 0.
time (sec) N/A 0.111 0.069 0.066 0. 0. 0. 0.


















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 111 103 49 123 0 0
normalized size 1 1. 2.13 1.98 0.94 2.37 0. 0.
time (sec) N/A 0.035 0.279 0.088 0.972 2.239 0. 0.


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 83 318 0 836 0 0
normalized size 1 1. 0.83 3.18 0. 8.36 0. 0.
time (sec) N/A 0.077 0.191 0.112 0. 3.802 0. 0.


















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 80 280 0 791 0 0
normalized size 1 1. 0.81 2.83 0. 7.99 0. 0.
time (sec) N/A 0.071 0.181 0.109 0. 3.822 0. 0.


















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 68 244 0 757 0 0
normalized size 1 1. 0.87 3.13 0. 9.71 0. 0.
time (sec) N/A 0.065 0.111 0.128 0. 3.719 0. 0.


















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 65 204 0 702 0 0
normalized size 1 1. 0.84 2.65 0. 9.12 0. 0.
time (sec) N/A 0.063 0.065 0.141 0. 3.799 0. 0.


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 51 179 0 664 0 0
normalized size 1 1. 0.88 3.09 0. 11.45 0. 0.
time (sec) N/A 0.051 0.036 0.112 0. 2.64 0. 0.


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 50 177 0 676 0 70
normalized size 1 1. 0.85 3. 0. 11.46 0. 1.19
time (sec) N/A 0.051 0.04 0.104 0. 2.539 0. 1.122


















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 36 422 0 853 0 89
normalized size 1 1. 0.46 5.41 0. 10.94 0. 1.14
time (sec) N/A 0.067 0.055 0.297 0. 2.727 0. 1.129


















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 38 624 0 879 0 104
normalized size 1 1. 0.47 7.7 0. 10.85 0. 1.28
time (sec) N/A 0.064 0.058 0.226 0. 2.641 0. 1.14


















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 38 882 0 942 0 127
normalized size 1 1. 0.38 8.82 0. 9.42 0. 1.27
time (sec) N/A 0.078 0.068 0.22 0. 2.705 0. 1.138


















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 38 1082 0 946 0 130
normalized size 1 1. 0.37 10.5 0. 9.18 0. 1.26
time (sec) N/A 0.075 0.083 0.223 0. 2.693 0. 1.128


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 89 242 0 0 0 0
normalized size 1 1. 0.72 1.95 0. 0. 0. 0.
time (sec) N/A 0.101 0.359 0.204 0. 0. 0. 0.


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 74 229 0 0 0 0
normalized size 1 1. 0.77 2.39 0. 0. 0. 0.
time (sec) N/A 0.082 0.24 0.203 0. 0. 0. 0.


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 73 216 0 0 0 0
normalized size 1 1. 0.76 2.25 0. 0. 0. 0.
time (sec) N/A 0.081 0.222 0.197 0. 0. 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 58 203 0 0 0 0
normalized size 1 1. 0.88 3.08 0. 0. 0. 0.
time (sec) N/A 0.063 0.145 0.396 0. 0. 0. 0.


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 56 190 0 0 0 0
normalized size 1 1. 0.85 2.88 0. 0. 0. 0.
time (sec) N/A 0.064 0.098 0.266 0. 0. 0. 0.


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 56 203 0 0 0 0
normalized size 1 1. 0.86 3.12 0. 0. 0. 0.
time (sec) N/A 0.057 0.081 0.323 0. 0. 0. 0.


















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 47 188 0 0 0 0
normalized size 1 1. 0.73 2.94 0. 0. 0. 0.
time (sec) N/A 0.058 0.084 0.27 0. 0. 0. 0.


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 65 209 0 0 0 0
normalized size 1 1. 0.69 2.22 0. 0. 0. 0.
time (sec) N/A 0.08 0.172 0.319 0. 0. 0. 0.


















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 62 190 0 0 0 0
normalized size 1 1. 0.63 1.94 0. 0. 0. 0.
time (sec) N/A 0.083 0.141 0.235 0. 0. 0. 0.


















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 82 408 0 0 0 0
normalized size 1 1. 0.65 3.24 0. 0. 0. 0.
time (sec) N/A 0.102 0.168 0.299 0. 0. 0. 0.


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 137 433 0 1061 0 0
normalized size 1 1. 1.01 3.21 0. 7.86 0. 0.
time (sec) N/A 0.089 2.076 0.221 0. 3.569 0. 0.


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 78 394 0 1027 0 0
normalized size 1 1. 0.69 3.49 0. 9.09 0. 0.
time (sec) N/A 0.082 0.635 0.204 0. 3.493 0. 0.


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 118 327 0 991 0 0
normalized size 1 1. 1.04 2.89 0. 8.77 0. 0.
time (sec) N/A 0.08 1.204 0.207 0. 3.51 0. 0.


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 65 300 0 988 0 0
normalized size 1 1. 0.71 3.3 0. 10.86 0. 0.
time (sec) N/A 0.073 0.291 0.291 0. 2.45 0. 0.


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 76 294 0 922 0 0
normalized size 1 1. 0.84 3.23 0. 10.13 0. 0.
time (sec) N/A 0.071 0.185 0.2 0. 2.662 0. 0.


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 62 289 0 940 0 0
normalized size 1 1. 0.67 3.11 0. 10.11 0. 0.
time (sec) N/A 0.066 0.25 0.256 0. 2.761 0. 0.


















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 69 297 0 922 0 123
normalized size 1 1. 0.74 3.19 0. 9.91 0. 1.32
time (sec) N/A 0.065 0.228 0.312 0. 2.662 0. 1.138


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 91 705 0 1091 0 162
normalized size 1 1. 0.79 6.13 0. 9.49 0. 1.41
time (sec) N/A 0.083 0.246 0.338 0. 2.714 0. 1.141


















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 92 909 0 1111 0 154
normalized size 1 1. 0.8 7.9 0. 9.66 0. 1.34
time (sec) N/A 0.083 0.367 0.345 0. 2.809 0. 1.142


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 102 1165 0 1166 0 185
normalized size 1 1. 0.74 8.5 0. 8.51 0. 1.35
time (sec) N/A 0.092 0.455 0.381 0. 2.872 0. 1.163


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 19 24 59 34 28
normalized size 1 1. 1. 0.86 1.09 2.68 1.55 1.27
time (sec) N/A 0.022 0.02 0.004 0.977 2.208 33.716 1.235


















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 18 14 18 49 167 18
normalized size 1 1. 0.86 0.67 0.86 2.33 7.95 0.86
time (sec) N/A 0.024 0.013 0.042 0.978 2.143 45.799 1.101


















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 18 14 18 65 24 18
normalized size 1 1. 0.86 0.67 0.86 3.1 1.14 0.86
time (sec) N/A 0.024 0.013 0.04 0.964 2.228 68.453 1.106


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 18 14 18 68 0 18
normalized size 1 1. 0.86 0.67 0.86 3.24 0. 0.86
time (sec) N/A 0.025 0.012 0.036 0.963 2.344 0. 1.098


















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 16 14 18 45 323 18
normalized size 1 1. 0.84 0.74 0.95 2.37 17. 0.95
time (sec) N/A 0.023 0.009 0.039 1.004 2.178 51.113 1.114


















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 70 540 0 0 0 0
normalized size 1 1. 0.53 4.09 0. 0. 0. 0.
time (sec) N/A 0.16 0.103 0.224 0. 0. 0. 0.


















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 70 518 0 0 0 0
normalized size 1 1. 0.74 5.45 0. 0. 0. 0.
time (sec) N/A 0.103 0.089 0.147 0. 0. 0. 0.


















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 67 505 0 0 0 0
normalized size 1 1. 1.26 9.53 0. 0. 0. 0.
time (sec) N/A 0.049 0.065 0.107 0. 0. 0. 0.


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 70 493 0 0 0 0
normalized size 1 1. 0.75 5.3 0. 0. 0. 0.
time (sec) N/A 0.107 0.107 0.134 0. 0. 0. 0.


















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 70 528 0 0 0 0
normalized size 1 1. 0.52 3.94 0. 0. 0. 0.
time (sec) N/A 0.163 0.15 0.144 0. 0. 0. 0.


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 320 320 70 514 0 0 0 0
normalized size 1 1. 0.22 1.61 0. 0. 0. 0.
time (sec) N/A 0.295 0.119 0.079 0. 0. 0. 0.


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 280 280 67 271 0 0 0 0
normalized size 1 1. 0.24 0.97 0. 0. 0. 0.
time (sec) N/A 0.189 0.062 0.083 0. 0. 0. 0.


















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 38 0 112 0 0
normalized size 1 1. 1. 1.03 0. 3.03 0. 0.
time (sec) N/A 0.053 0.083 0.108 0. 3.296 0. 0.


















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 57 50 0 144 0 0
normalized size 1 1. 0.76 0.67 0. 1.92 0. 0.
time (sec) N/A 0.113 0.242 0.107 0. 3.702 0. 0.


















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 67 60 0 176 0 0
normalized size 1 1. 0.6 0.54 0. 1.57 0. 0.
time (sec) N/A 0.171 0.235 0.144 0. 4.005 0. 0.


















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 71 216 0 0 0 0
normalized size 1 1. 0.54 1.65 0. 0. 0. 0.
time (sec) N/A 0.179 0.12 0.132 0. 0. 0. 0.


















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 67 182 0 0 0 0
normalized size 1 1. 0.72 1.96 0. 0. 0. 0.
time (sec) N/A 0.117 0.081 0.118 0. 0. 0. 0.


















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 67 186 0 0 0 0
normalized size 1 1. 0.68 1.9 0. 0. 0. 0.
time (sec) N/A 0.123 0.168 0.093 0. 0. 0. 0.


















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 70 215 0 0 0 0
normalized size 1 1. 0.53 1.62 0. 0. 0. 0.
time (sec) N/A 0.186 0.156 0.103 0. 0. 0. 0.


















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 320 320 67 654 0 0 0 0
normalized size 1 1. 0.21 2.04 0. 0. 0. 0.
time (sec) N/A 0.281 0.07 0.078 0. 0. 0. 0.


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 313 313 67 642 0 0 0 0
normalized size 1 1. 0.21 2.05 0. 0. 0. 0.
time (sec) N/A 0.276 0.164 0.092 0. 0. 0. 0.


















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 40 38 0 127 0 0
normalized size 1 1. 1.08 1.03 0. 3.43 0. 0.
time (sec) N/A 0.06 0.123 0.066 0. 3.549 0. 0.


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 57 50 0 159 0 0
normalized size 1 1. 0.54 0.47 0. 1.5 0. 0.
time (sec) N/A 0.184 0.298 0.072 0. 4.182 0. 0.


















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 67 60 0 194 0 0
normalized size 1 1. 0.48 0.43 0. 1.38 0. 0.
time (sec) N/A 0.24 0.31 0.109 0. 5.362 0. 0.


















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 166 72 545 0 0 0 0
normalized size 1 1. 0.43 3.28 0. 0. 0. 0.
time (sec) N/A 0.235 0.173 0.148 0. 0. 0. 0.


















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 70 532 0 0 0 0
normalized size 1 1. 0.53 4.06 0. 0. 0. 0.
time (sec) N/A 0.176 0.178 0.08 0. 0. 0. 0.


















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 67 519 0 0 0 0
normalized size 1 1. 0.71 5.46 0. 0. 0. 0.
time (sec) N/A 0.108 0.095 0.121 0. 0. 0. 0.


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 67 508 0 0 0 0
normalized size 1 1. 0.71 5.4 0. 0. 0. 0.
time (sec) N/A 0.12 0.12 0.093 0. 0. 0. 0.


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 70 531 0 0 0 0
normalized size 1 1. 0.53 3.99 0. 0. 0. 0.
time (sec) N/A 0.174 0.182 0.105 0. 0. 0. 0.


















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 168 168 72 544 0 0 0 0
normalized size 1 1. 0.43 3.24 0. 0. 0. 0.
time (sec) N/A 0.24 0.182 0.086 0. 0. 0. 0.


















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 320 320 67 510 0 0 0 0
normalized size 1 1. 0.21 1.59 0. 0. 0. 0.
time (sec) N/A 0.258 0.126 0.118 0. 0. 0. 0.


















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 315 67 532 0 0 0 0
normalized size 1 1. 0.21 1.69 0. 0. 0. 0.
time (sec) N/A 0.266 0.126 0.093 0. 0. 0. 0.


















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 40 38 0 150 0 0
normalized size 1 1. 1.08 1.03 0. 4.05 0. 0.
time (sec) N/A 0.06 0.166 0.066 0. 3.213 0. 0.


















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 57 50 0 188 0 0
normalized size 1 1. 0.54 0.47 0. 1.77 0. 0.
time (sec) N/A 0.175 0.305 0.069 0. 4.387 0. 0.


















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 67 60 0 227 0 0
normalized size 1 1. 0.48 0.43 0. 1.61 0. 0.
time (sec) N/A 0.235 0.477 0.116 0. 5.816 0. 0.


















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 226 226 57 702 0 0 0 0
normalized size 1 1. 0.25 3.11 0. 0. 0. 0.
time (sec) N/A 0.149 0.056 0.178 0. 0. 0. 0.


















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 33 0 63 0 0
normalized size 1 1. 1. 2.06 0. 3.94 0. 0.
time (sec) N/A 0.023 0.018 0.048 0. 2.695 0. 0.


















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 38 171 0 1613 0 0
normalized size 1 1. 0.31 1.4 0. 13.22 0. 0.
time (sec) N/A 0.082 0.012 0.055 0. 5.776 0. 0.


















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 38 2667 0 1666 0 0
normalized size 1 1. 0.27 18.65 0. 11.65 0. 0.
time (sec) N/A 0.114 0.011 0.171 0. 5.432 0. 0.


















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 70 216 0 0 0 0
normalized size 1 1. 0.53 1.64 0. 0. 0. 0.
time (sec) N/A 0.178 0.112 0.112 0. 0. 0. 0.


















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 68 188 0 0 0 0
normalized size 1 1. 0.74 2.04 0. 0. 0. 0.
time (sec) N/A 0.113 0.107 0.099 0. 0. 0. 0.


















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 65 151 0 0 0 0
normalized size 1 1. 1.23 2.85 0. 0. 0. 0.
time (sec) N/A 0.055 0.057 0.089 0. 0. 0. 0.


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 65 184 0 0 0 0
normalized size 1 1. 0.67 1.9 0. 0. 0. 0.
time (sec) N/A 0.114 0.106 0.112 0. 0. 0. 0.


















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 70 212 0 0 0 0
normalized size 1 1. 0.52 1.58 0. 0. 0. 0.
time (sec) N/A 0.172 0.133 0.125 0. 0. 0. 0.


















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 280 280 65 312 0 0 0 0
normalized size 1 1. 0.23 1.11 0. 0. 0. 0.
time (sec) N/A 0.177 0.061 0.096 0. 0. 0. 0.


















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 36 38 0 92 0 0
normalized size 1 1. 1.03 1.09 0. 2.63 0. 0.
time (sec) N/A 0.054 0.062 0.069 0. 2.619 0. 0.


















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 52 50 0 128 0 0
normalized size 1 1. 0.69 0.67 0. 1.71 0. 0.
time (sec) N/A 0.111 0.173 0.079 0. 2.687 0. 0.


















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 67 60 0 157 0 0
normalized size 1 1. 0.6 0.54 0. 1.4 0. 0.
time (sec) N/A 0.169 0.244 0.088 0. 3.366 0. 0.


















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 55 298 0 0 0 0
normalized size 1 1. 0.32 1.71 0. 0. 0. 0.
time (sec) N/A 0.089 0.026 0.086 0. 0. 0. 0.


















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 55 953 0 0 0 0
normalized size 1 1. 0.28 4.79 0. 0. 0. 0.
time (sec) N/A 0.114 0.035 0.079 0. 0. 0. 0.


















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 57 1281 0 0 0 0
normalized size 1 1. 0.28 6.37 0. 0. 0. 0.
time (sec) N/A 0.115 0.034 0.095 0. 0. 0. 0.


















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 226 226 57 1966 0 0 0 0
normalized size 1 1. 0.25 8.7 0. 0. 0. 0.
time (sec) N/A 0.139 0.039 0.113 0. 0. 0. 0.


















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.055 0.13 0. 0. 0. 0.


















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.044 0.07 0. 0. 0. 0.


















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.036 0.068 0. 0. 0. 0.


















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.04 0.063 0. 0. 0. 0.


















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.038 0.071 0. 0. 0. 0.


















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.055 0.115 0. 0. 0. 0.


















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.045 0.051 0.075 0. 0. 0. 0.


















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.014 0.041 0.02 0. 0. 0. 0.


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.044 0.051 0.066 0. 0. 0. 0.


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.044 0.047 0.073 0. 0. 0. 0.


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.044 0.052 0.086 0. 0. 0. 0.


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.043 0.056 0. 0. 0. 0.


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.035 0.065 0. 0. 0. 0.


















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.04 0.042 0.059 0. 0. 0. 0.


















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.039 0.066 0. 0. 0. 0.


















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.047 0.087 0. 0. 0. 0.


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.045 0.059 0. 0. 0. 0.


















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.014 0.034 0.022 0. 0. 0. 0.


















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.042 0.069 0. 0. 0. 0.


















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.037 0.07 0. 0. 0. 0.


















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 57 0 0 424 0 0
normalized size 1 1. 0.45 0. 0. 3.31 0. 0.
time (sec) N/A 0.151 0.041 0.096 0. 2.246 0. 0.


















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 57 0 0 0 0 0
normalized size 1 1. 0.25 0. 0. 0. 0. 0.
time (sec) N/A 0.329 0.041 0.07 0. 0. 0. 0.


















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 249 249 57 0 0 0 0 0
normalized size 1 1. 0.23 0. 0. 0. 0. 0.
time (sec) N/A 0.348 0.052 0.046 0. 0. 0. 0.


















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 57 0 0 572 0 0
normalized size 1 1. 0.37 0. 0. 3.69 0. 0.
time (sec) N/A 0.175 0.056 0.052 0. 3.238 0. 0.


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 57 0 0 566 0 0
normalized size 1 1. 0.37 0. 0. 3.65 0. 0.
time (sec) N/A 0.11 0.053 0.051 0. 2.914 0. 0.


















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 57 0 0 444 0 0
normalized size 1 1. 0.45 0. 0. 3.47 0. 0.
time (sec) N/A 0.082 0.026 0.06 0. 2.889 0. 0.


















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 55 0 0 0 0 0
normalized size 1 1. 0.24 0. 0. 0. 0. 0.
time (sec) N/A 0.3 0.028 0.06 0. 0. 0. 0.


















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 55 0 0 0 0 0
normalized size 1 1. 0.22 0. 0. 0. 0. 0.
time (sec) N/A 0.326 0.034 0.046 0. 0. 0. 0.


















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 57 0 0 555 0 0
normalized size 1 1. 0.37 0. 0. 3.58 0. 0.
time (sec) N/A 0.111 0.035 0.049 0. 3.194 0. 0.


















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 57 0 0 621 0 0
normalized size 1 1. 0.37 0. 0. 4.01 0. 0.
time (sec) N/A 0.134 0.034 0.049 0. 2.949 0. 0.


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 0 0 62 0 0
normalized size 1 1. 1. 0. 0. 3.88 0. 0.
time (sec) N/A 0.022 0.011 0.044 0. 2.455 0. 0.


















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 0 0 42 0 0
normalized size 1 1. 1. 0. 0. 2.62 0. 0.
time (sec) N/A 0.023 0.015 0.046 0. 2.382 0. 0.


















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 79 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.108 0.562 0. 0. 0. 0.


















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 82 0 0 0 0 0
normalized size 1 1. 0.96 0. 0. 0. 0. 0.
time (sec) N/A 0.045 0.117 0.573 0. 0. 0. 0.


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 85 0 0 0 0 0
normalized size 1 1. 1.02 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.076 0.399 0. 0. 0. 0.


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 85 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.048 0.095 0.432 0. 0. 0. 0.


















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 55 0 0 177 2050 335
normalized size 1 1. 0.74 0. 0. 2.39 27.7 4.53
time (sec) N/A 0.07 0.316 1.115 0. 2.608 79.342 1.125


















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 48 0 0 113 530 159
normalized size 1 1. 0.96 0. 0. 2.26 10.6 3.18
time (sec) N/A 0.051 0.085 0.801 0. 2.452 13.193 1.131


















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 25 25 0 58 58 32
normalized size 1 1. 1.04 1.04 0. 2.42 2.42 1.33
time (sec) N/A 0.025 0.011 0. 0. 2.458 1.675 1.136


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 51 0 0 0 0 0
normalized size 1 1. 1.06 0. 0. 0. 0. 0.
time (sec) N/A 0.041 0.022 0.26 0. 0. 0. 0.


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 51 0 0 0 0 0
normalized size 1 1. 1.06 0. 0. 0. 0. 0.
time (sec) N/A 0.047 0.024 0.259 0. 0. 0. 0.


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 63 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.041 0.053 0.885 0. 0. 0. 0.


















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 63 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.041 0.047 0.783 0. 0. 0. 0.


















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 63 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.039 0.457 0. 0. 0. 0.


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 63 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.04 0.047 0.349 0. 0. 0. 0.


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 63 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.04 0.044 0.3 0. 0. 0. 0.


















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 78 0 0 0 0 0
normalized size 1 1. 1.04 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.14 0.089 0. 0. 0. 0.


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 75 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.048 0.069 0.087 0. 0. 0. 0.


















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 75 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 0.071 0.071 0. 0. 0. 0.


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 78 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.093 0.069 0. 0. 0. 0.


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 78 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.055 0.084 0.069 0. 0. 0. 0.


















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 83 0 0 209 2462 336
normalized size 1 1. 1.09 0. 0. 2.75 32.39 4.42
time (sec) N/A 0.066 0.3 0.893 0. 2.79 86.708 1.16


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 1076 0 122 694 158
normalized size 1 1. 1. 21.52 0. 2.44 13.88 3.16
time (sec) N/A 0.05 0.117 1.467 0. 2.262 14.66 1.16


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 26 26 0 59 61 34
normalized size 1 1. 1.04 1.04 0. 2.36 2.44 1.36
time (sec) N/A 0.022 0.01 0.003 0. 2.241 1.809 1.156


















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 52 0 0 0 0 0
normalized size 1 1. 1.06 0. 0. 0. 0. 0.
time (sec) N/A 0.04 0.033 0.385 0. 0. 0. 0.


















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 86 0 0 0 0 0
normalized size 1 1. 1.76 0. 0. 0. 0. 0.
time (sec) N/A 0.047 0.217 0.391 0. 0. 0. 0.


















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 86 0 0 0 0 0
normalized size 1 1. 1.76 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.193 0.219 0. 0. 0. 0.


















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 68 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.112 0.655 0. 0. 0. 0.


















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 68 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.04 0.083 0.992 0. 0. 0. 0.


















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 64 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.043 0.254 0. 0. 0. 0.


















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 80 0 0 0 0 0
normalized size 1 1. 1.16 0. 0. 0. 0. 0.
time (sec) N/A 0.04 0.177 0.359 0. 0. 0. 0.


















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 82 0 0 0 0 0
normalized size 1 1. 1.19 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.213 0.2 0. 0. 0. 0.


















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 158 0 0 0 0 0
normalized size 1 1. 2.08 0. 0. 0. 0. 0.
time (sec) N/A 0.053 0.415 0.078 0. 0. 0. 0.


















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 76 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.053 0.166 0.067 0. 0. 0. 0.


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 82 0 0 0 0 0
normalized size 1 1. 1.08 0. 0. 0. 0. 0.
time (sec) N/A 0.045 0.107 0.071 0. 0. 0. 0.


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 82 0 0 0 0 0
normalized size 1 1. 1.08 0. 0. 0. 0. 0.
time (sec) N/A 0.048 0.118 0.06 0. 0. 0. 0.


















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 79 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.056 0.137 0.059 0. 0. 0. 0.


















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 58 517 85 149 0 146
normalized size 1 1. 0.68 6.08 1. 1.75 0. 1.72
time (sec) N/A 0.059 0.34 0.283 1.055 2.24 0. 1.172


















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 48 507 68 117 0 112
normalized size 1 1. 0.76 8.05 1.08 1.86 0. 1.78
time (sec) N/A 0.05 0.205 0.137 1.038 2.215 0. 1.145


















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 36 497 47 84 0 77
normalized size 1 1. 0.88 12.12 1.15 2.05 0. 1.88
time (sec) N/A 0.043 0.16 0.148 1.007 2.168 0. 1.111


















Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 17 31 54 0 32
normalized size 1 1. 1. 0.94 1.72 3. 0. 1.78
time (sec) N/A 0.03 0.034 0.019 1.015 2.12 0. 1.158


















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 73 169 0 660 0 86
normalized size 1 1. 1.26 2.91 0. 11.38 0. 1.48
time (sec) N/A 0.046 0.343 0.122 0. 2.654 0. 1.154


















Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 95 603 0 941 0 139
normalized size 1 1. 1.02 6.48 0. 10.12 0. 1.49
time (sec) N/A 0.076 0.612 0.148 0. 2.666 0. 1.129


















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 107 1089 0 1173 0 181
normalized size 1 1. 0.87 8.85 0. 9.54 0. 1.47
time (sec) N/A 0.086 0.902 0.158 0. 2.686 0. 1.156


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 73 165 0 0 0 0
normalized size 1 1. 0.59 1.34 0. 0. 0. 0.
time (sec) N/A 0.143 0.15 0.253 0. 0. 0. 0.


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 61 143 0 0 0 0
normalized size 1 1. 0.64 1.51 0. 0. 0. 0.
time (sec) N/A 0.098 0.105 0.158 0. 0. 0. 0.


















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 51 123 0 0 0 0
normalized size 1 1. 0.76 1.84 0. 0. 0. 0.
time (sec) N/A 0.058 0.094 0.143 0. 0. 0. 0.


















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 98 0 0 0 0
normalized size 1 1. 1. 2.58 0. 0. 0. 0.
time (sec) N/A 0.021 0.034 0.119 0. 0. 0. 0.


















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 47 184 0 0 0 0
normalized size 1 1. 0.76 2.97 0. 0. 0. 0.
time (sec) N/A 0.057 0.106 0.139 0. 0. 0. 0.


















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 63 335 0 0 0 0
normalized size 1 1. 0.66 3.53 0. 0. 0. 0.
time (sec) N/A 0.096 0.22 0.165 0. 0. 0. 0.


















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 73 485 0 0 0 0
normalized size 1 1. 0.59 3.94 0. 0. 0. 0.
time (sec) N/A 0.138 0.442 0.181 0. 0. 0. 0.


















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 52 969 97 136 0 143
normalized size 1 1. 0.63 11.67 1.17 1.64 0. 1.72
time (sec) N/A 0.063 0.142 0.237 0.995 2.232 0. 1.14


















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 42 959 74 108 0 109
normalized size 1 1. 0.67 15.22 1.17 1.71 0. 1.73
time (sec) N/A 0.056 0.091 0.172 1.033 2.245 0. 1.128


















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 30 949 50 72 0 68
normalized size 1 1. 0.73 23.15 1.22 1.76 0. 1.66
time (sec) N/A 0.05 0.063 0.139 0.993 2.202 0. 1.188


















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 17 31 38 0 36
normalized size 1 1. 1. 0.94 1.72 2.11 0. 2.
time (sec) N/A 0.034 0.027 0.013 0.995 2.197 0. 1.326


















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 85 235 0 737 0 107
normalized size 1 1. 1.1 3.05 0. 9.57 0. 1.39
time (sec) N/A 0.053 0.914 0.148 0. 3.05 0. 1.369


















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 97 644 0 991 0 181
normalized size 1 1. 0.86 5.7 0. 8.77 0. 1.6
time (sec) N/A 0.084 2.279 0.129 0. 2.894 0. 1.403


















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 70 330 0 0 0 0
normalized size 1 1. 0.55 2.58 0. 0. 0. 0.
time (sec) N/A 0.149 0.151 0.233 0. 0. 0. 0.


















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 60 320 0 0 0 0
normalized size 1 1. 0.61 3.27 0. 0. 0. 0.
time (sec) N/A 0.108 0.115 0.179 0. 0. 0. 0.


















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 48 312 0 0 0 0
normalized size 1 1. 0.73 4.73 0. 0. 0. 0.
time (sec) N/A 0.066 0.079 0.142 0. 0. 0. 0.


















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 48 322 0 0 0 0
normalized size 1 1. 0.73 4.88 0. 0. 0. 0.
time (sec) N/A 0.037 0.053 0.174 0. 0. 0. 0.


















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 57 322 0 0 0 0
normalized size 1 1. 0.63 3.58 0. 0. 0. 0.
time (sec) N/A 0.082 0.147 0.146 0. 0. 0. 0.


















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 77 622 0 0 0 0
normalized size 1 1. 0.62 5.02 0. 0. 0. 0.
time (sec) N/A 0.129 0.206 0.158 0. 0. 0. 0.


















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 52 532 89 169 0 146
normalized size 1 1. 0.61 6.26 1.05 1.99 0. 1.72
time (sec) N/A 0.062 0.426 0.152 1.054 2.339 0. 1.209


















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 42 522 70 135 0 108
normalized size 1 1. 0.67 8.29 1.11 2.14 0. 1.71
time (sec) N/A 0.056 0.34 0.148 1.042 2.235 0. 1.17


















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 32 357 49 97 0 72
normalized size 1 1. 0.78 8.71 1.2 2.37 0. 1.76
time (sec) N/A 0.049 0.198 0.151 1.033 2.088 0. 1.157


















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 17 31 63 0 49
normalized size 1 1. 1. 0.85 1.55 3.15 0. 2.45
time (sec) N/A 0.036 0.042 0.013 1.045 2.163 0. 1.15


















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 87 237 0 868 0 123
normalized size 1 1. 1.12 3.04 0. 11.13 0. 1.58
time (sec) N/A 0.054 0.191 0.119 0. 2.69 0. 1.17


















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 109 699 0 1133 0 173
normalized size 1 1. 0.96 6.19 0. 10.03 0. 1.53
time (sec) N/A 0.084 1.955 0.16 0. 2.709 0. 1.155


















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 119 1161 0 1395 0 215
normalized size 1 1. 0.83 8.12 0. 9.76 0. 1.5
time (sec) N/A 0.098 1.199 0.126 0. 3.009 0. 1.159


















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 74 168 0 0 0 0
normalized size 1 1. 0.57 1.29 0. 0. 0. 0.
time (sec) N/A 0.147 0.206 0.177 0. 0. 0. 0.


















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 64 144 0 0 0 0
normalized size 1 1. 0.64 1.44 0. 0. 0. 0.
time (sec) N/A 0.103 0.134 0.14 0. 0. 0. 0.


















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 52 126 0 0 0 0
normalized size 1 1. 0.74 1.8 0. 0. 0. 0.
time (sec) N/A 0.065 0.124 0.129 0. 0. 0. 0.


















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 51 128 0 0 0 0
normalized size 1 1. 0.73 1.83 0. 0. 0. 0.
time (sec) N/A 0.035 0.075 0.123 0. 0. 0. 0.


















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 67 202 0 0 0 0
normalized size 1 1. 0.68 2.06 0. 0. 0. 0.
time (sec) N/A 0.102 0.181 0.145 0. 0. 0. 0.


















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 79 352 0 0 0 0
normalized size 1 1. 0.64 2.86 0. 0. 0. 0.
time (sec) N/A 0.15 0.406 0.175 0. 0. 0. 0.


















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 52 56 85 159 0 0
normalized size 1 1. 0.6 0.64 0.98 1.83 0. 0.
time (sec) N/A 0.057 0.218 0.155 1.002 2.719 0. 0.


















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 42 46 68 128 0 0
normalized size 1 1. 0.65 0.71 1.05 1.97 0. 0.
time (sec) N/A 0.05 0.163 0.128 1.033 2.586 0. 0.


















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 32 36 50 96 0 68
normalized size 1 1. 0.74 0.84 1.16 2.23 0. 1.58
time (sec) N/A 0.045 0.105 0.115 1.009 2.416 0. 1.489


















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 17 31 65 0 51
normalized size 1 1. 1. 0.85 1.55 3.25 0. 2.55
time (sec) N/A 0.031 0.045 0.019 1.003 2.355 0. 1.439


















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 73 161 0 670 0 0
normalized size 1 1. 1.24 2.73 0. 11.36 0. 0.
time (sec) N/A 0.042 0.106 0.117 0. 2.961 0. 0.


















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 93 425 0 950 0 0
normalized size 1 1. 1. 4.57 0. 10.22 0. 0.
time (sec) N/A 0.067 1.165 0.141 0. 2.911 0. 0.


















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 107 729 0 1188 0 0
normalized size 1 1. 0.87 5.93 0. 9.66 0. 0.
time (sec) N/A 0.079 2.236 0.146 0. 2.995 0. 0.


















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 73 338 0 0 0 0
normalized size 1 1. 0.59 2.75 0. 0. 0. 0.
time (sec) N/A 0.143 0.481 0.185 0. 0. 0. 0.


















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 63 328 0 0 0 0
normalized size 1 1. 0.66 3.45 0. 0. 0. 0.
time (sec) N/A 0.1 0.338 0.15 0. 0. 0. 0.


















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 60 316 0 0 0 0
normalized size 1 1. 0.9 4.72 0. 0. 0. 0.
time (sec) N/A 0.059 0.134 0.185 0. 0. 0. 0.


















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 306 0 0 0 0
normalized size 1 1. 1. 8.05 0. 0. 0. 0.
time (sec) N/A 0.02 0.037 0.127 0. 0. 0. 0.


















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 48 316 0 0 0 0
normalized size 1 1. 0.76 5.02 0. 0. 0. 0.
time (sec) N/A 0.058 0.152 0.144 0. 0. 0. 0.


















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 74 618 0 0 0 0
normalized size 1 1. 0.78 6.51 0. 0. 0. 0.
time (sec) N/A 0.101 0.209 0.177 0. 0. 0. 0.


















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 86 918 0 0 0 0
normalized size 1 1. 0.7 7.46 0. 0. 0. 0.
time (sec) N/A 0.143 0.141 0.187 0. 0. 0. 0.


















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 52 56 85 165 0 0
normalized size 1 1. 0.6 0.64 0.98 1.9 0. 0.
time (sec) N/A 0.063 0.436 0.146 1.002 2.708 0. 0.


















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 42 46 68 134 0 0
normalized size 1 1. 0.65 0.71 1.05 2.06 0. 0.
time (sec) N/A 0.058 0.252 0.114 1. 2.64 0. 0.


















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 32 36 50 99 0 68
normalized size 1 1. 0.74 0.84 1.16 2.3 0. 1.58
time (sec) N/A 0.05 0.172 0.102 1.001 2.676 0. 1.478


















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 17 31 68 0 41
normalized size 1 1. 1. 0.85 1.55 3.4 0. 2.05
time (sec) N/A 0.036 0.054 0.012 0.985 2.488 0. 1.466


















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 89 221 0 813 0 0
normalized size 1 1. 1.14 2.83 0. 10.42 0. 0.
time (sec) N/A 0.054 1.963 0.108 0. 4.071 0. 0.


















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 98 426 0 957 0 0
normalized size 1 1. 1.05 4.58 0. 10.29 0. 0.
time (sec) N/A 0.074 0.466 0.125 0. 3.021 0. 0.


















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 109 729 0 1192 0 0
normalized size 1 1. 0.89 5.93 0. 9.69 0. 0.
time (sec) N/A 0.086 0.654 0.133 0. 3.059 0. 0.


















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 81 173 0 0 0 0
normalized size 1 1. 0.64 1.37 0. 0. 0. 0.
time (sec) N/A 0.134 0.163 0.167 0. 0. 0. 0.


















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 71 153 0 0 0 0
normalized size 1 1. 0.72 1.56 0. 0. 0. 0.
time (sec) N/A 0.082 0.13 0.133 0. 0. 0. 0.


















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 59 131 0 0 0 0
normalized size 1 1. 0.82 1.82 0. 0. 0. 0.
time (sec) N/A 0.036 0.06 0.115 0. 0. 0. 0.


















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 58 191 0 0 0 0
normalized size 1 1. 0.85 2.81 0. 0. 0. 0.
time (sec) N/A 0.066 0.102 0.124 0. 0. 0. 0.


















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 62 343 0 0 0 0
normalized size 1 1. 0.61 3.36 0. 0. 0. 0.
time (sec) N/A 0.104 0.222 0.142 0. 0. 0. 0.


















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 74 493 0 0 0 0
normalized size 1 1. 0.56 3.73 0. 0. 0. 0.
time (sec) N/A 0.144 0.311 0.178 0. 0. 0. 0.


















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 62 56 85 169 0 0
normalized size 1 1. 0.71 0.64 0.98 1.94 0. 0.
time (sec) N/A 0.063 0.361 0.19 1.019 2.924 0. 0.


















Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 52 46 68 135 0 0
normalized size 1 1. 0.8 0.71 1.05 2.08 0. 0.
time (sec) N/A 0.059 0.219 0.165 1.006 2.671 0. 0.


















Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 42 36 50 100 0 68
normalized size 1 1. 0.98 0.84 1.16 2.33 0. 1.58
time (sec) N/A 0.053 0.149 0.113 1.012 2.472 0. 1.567


















Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 17 31 68 0 41
normalized size 1 1. 1. 0.85 1.55 3.4 0. 2.05
time (sec) N/A 0.037 0.074 0.011 1.003 2.476 0. 1.462


















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 90 377 0 826 0 0
normalized size 1 1. 1.11 4.65 0. 10.2 0. 0.
time (sec) N/A 0.055 0.206 0.121 0. 3.739 0. 0.


















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 98 437 0 969 0 0
normalized size 1 1. 1.05 4.7 0. 10.42 0. 0.
time (sec) N/A 0.073 2.347 0.127 0. 2.75 0. 0.


















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 110 737 0 1199 0 0
normalized size 1 1. 0.89 5.99 0. 9.75 0. 0.
time (sec) N/A 0.084 2.533 0.141 0. 2.787 0. 0.


















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 83 343 0 0 0 0
normalized size 1 1. 0.66 2.72 0. 0. 0. 0.
time (sec) N/A 0.132 0.498 0.158 0. 0. 0. 0.


















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 66 333 0 0 0 0
normalized size 1 1. 0.67 3.4 0. 0. 0. 0.
time (sec) N/A 0.082 0.392 0.129 0. 0. 0. 0.


















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 60 323 0 0 0 0
normalized size 1 1. 0.83 4.49 0. 0. 0. 0.
time (sec) N/A 0.035 0.085 0.15 0. 0. 0. 0.


















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 51 313 0 0 0 0
normalized size 1 1. 0.75 4.6 0. 0. 0. 0.
time (sec) N/A 0.066 0.164 0.137 0. 0. 0. 0.


















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 79 623 0 0 0 0
normalized size 1 1. 0.77 6.11 0. 0. 0. 0.
time (sec) N/A 0.108 0.252 0.162 0. 0. 0. 0.


















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 87 923 0 0 0 0
normalized size 1 1. 0.66 6.99 0. 0. 0. 0.
time (sec) N/A 0.149 0.178 0.181 0. 0. 0. 0.


















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 449 449 80 546 0 0 0 0
normalized size 1 1. 0.18 1.22 0. 0. 0. 0.
time (sec) N/A 0.476 0.367 0.162 0. 0. 0. 0.


















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 414 414 65 512 0 0 0 0
normalized size 1 1. 0.16 1.24 0. 0. 0. 0.
time (sec) N/A 0.348 0.252 0.107 0. 0. 0. 0.


















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 376 376 55 273 0 0 0 0
normalized size 1 1. 0.15 0.73 0. 0. 0. 0.
time (sec) N/A 0.265 0.129 0.105 0. 0. 0. 0.


















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 37 40 0 108 0 0
normalized size 1 1. 1.12 1.21 0. 3.27 0. 0.
time (sec) N/A 0.052 0.074 0.123 0. 3.855 0. 0.


















Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 52 52 0 176 0 0
normalized size 1 1. 0.73 0.73 0. 2.48 0. 0.
time (sec) N/A 0.109 0.198 0.122 0. 3.616 0. 0.


















Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 65 62 0 240 0 0
normalized size 1 1. 0.61 0.58 0. 2.26 0. 0.
time (sec) N/A 0.165 0.214 0.133 0. 4.389 0. 0.


















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 90 212 0 0 0 0
normalized size 1 1. 0.7 1.66 0. 0. 0. 0.
time (sec) N/A 0.215 0.872 0.158 0. 0. 0. 0.


















Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 66 184 0 0 0 0
normalized size 1 1. 0.73 2.02 0. 0. 0. 0.
time (sec) N/A 0.151 1.249 0.125 0. 0. 0. 0.


















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 66 153 0 0 0 0
normalized size 1 1. 1.25 2.89 0. 0. 0. 0.
time (sec) N/A 0.099 0.372 0.13 0. 0. 0. 0.


















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 75 279 0 0 0 0
normalized size 1 1. 0.79 2.94 0. 0. 0. 0.
time (sec) N/A 0.154 0.432 0.135 0. 0. 0. 0.


















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 111 532 0 0 0 0
normalized size 1 1. 0.85 4.09 0. 0. 0. 0.
time (sec) N/A 0.214 1.016 0.154 0. 0. 0. 0.


















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 86 532 0 0 0 0
normalized size 1 1. 0.75 4.63 0. 0. 0. 0.
time (sec) N/A 0.164 0.537 0.118 0. 0. 0. 0.


















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 74 511 0 0 0 0
normalized size 1 1. 0.87 6.01 0. 0. 0. 0.
time (sec) N/A 0.119 0.293 0.136 0. 0. 0. 0.


















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 60 497 0 0 0 0
normalized size 1 1. 1.18 9.75 0. 0. 0. 0.
time (sec) N/A 0.081 1.084 0.118 0. 0. 0. 0.


















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 63 484 0 0 0 0
normalized size 1 1. 0.78 5.98 0. 0. 0. 0.
time (sec) N/A 0.12 0.245 0.109 0. 0. 0. 0.


















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 82 1030 0 0 0 0
normalized size 1 1. 0.71 8.96 0. 0. 0. 0.
time (sec) N/A 0.162 0.462 0.159 0. 0. 0. 0.


















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 363 363 218 648 0 0 0 0
normalized size 1 1. 0.6 1.79 0. 0. 0. 0.
time (sec) N/A 0.268 1.549 0.129 0. 0. 0. 0.


















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 328 328 166 304 0 0 0 0
normalized size 1 1. 0.51 0.93 0. 0. 0. 0.
time (sec) N/A 0.192 0.939 0.11 0. 0. 0. 0.


















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 70 0 117 0 0
normalized size 1 1. 1. 2.33 0. 3.9 0. 0.
time (sec) N/A 0.038 0.102 0.096 0. 2.322 0. 0.


















Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 42 82 0 181 0 0
normalized size 1 1. 0.69 1.34 0. 2.97 0. 0.
time (sec) N/A 0.078 0.139 0.107 0. 2.476 0. 0.


















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 52 92 0 243 0 0
normalized size 1 1. 0.57 1.01 0. 2.67 0. 0.
time (sec) N/A 0.122 0.201 0.129 0. 2.683 0. 0.


















Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 62 102 0 308 0 0
normalized size 1 1. 0.51 0.84 0. 2.55 0. 0.
time (sec) N/A 0.162 0.254 0.15 0. 3.01 0. 0.


















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 490 490 97 572 0 0 0 0
normalized size 1 1. 0.2 1.17 0. 0. 0. 0.
time (sec) N/A 0.553 0.444 0.145 0. 0. 0. 0.


















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 453 453 82 546 0 0 0 0
normalized size 1 1. 0.18 1.21 0. 0. 0. 0.
time (sec) N/A 0.447 0.332 0.123 0. 0. 0. 0.


















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 418 418 76 516 0 0 0 0
normalized size 1 1. 0.18 1.23 0. 0. 0. 0.
time (sec) N/A 0.356 0.231 0.144 0. 0. 0. 0.


















Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 411 411 66 957 0 0 0 0
normalized size 1 1. 0.16 2.33 0. 0. 0. 0.
time (sec) N/A 0.36 0.207 0.111 0. 0. 0. 0.


















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 45 40 0 157 0 0
normalized size 1 1. 1.29 1.14 0. 4.49 0. 0.
time (sec) N/A 0.058 0.11 0.085 0. 2.461 0. 0.


















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 103 246 0 0 0 0
normalized size 1 1. 0.6 1.43 0. 0. 0. 0.
time (sec) N/A 0.275 0.862 0.138 0. 0. 0. 0.


















Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 87 218 0 0 0 0
normalized size 1 1. 0.64 1.61 0. 0. 0. 0.
time (sec) N/A 0.216 0.432 0.123 0. 0. 0. 0.


















Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 84 190 0 0 0 0
normalized size 1 1. 0.89 2.02 0. 0. 0. 0.
time (sec) N/A 0.152 0.538 0.118 0. 0. 0. 0.


















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 78 284 0 0 0 0
normalized size 1 1. 0.78 2.84 0. 0. 0. 0.
time (sec) N/A 0.156 0.496 0.102 0. 0. 0. 0.


















Problem 481 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 119 540 0 0 0 0
normalized size 1 1. 0.87 3.94 0. 0. 0. 0.
time (sec) N/A 0.219 0.868 0.122 0. 0. 0. 0.


















Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 131 793 0 0 0 0
normalized size 1 1. 0.75 4.56 0. 0. 0. 0.
time (sec) N/A 0.282 1.203 0.168 0. 0. 0. 0.


















Problem 483 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 96 0 0 0 0 0
normalized size 1 1. 1.28 0. 0. 0. 0. 0.
time (sec) N/A 0.109 8.716 0.116 0. 0. 0. 0.


















Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 96 0 0 0 0 0
normalized size 1 1. 1.28 0. 0. 0. 0. 0.
time (sec) N/A 0.108 1.357 0.092 0. 0. 0. 0.


















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 106 0 0 0 0 0
normalized size 1 1. 1.38 0. 0. 0. 0. 0.
time (sec) N/A 0.095 1.374 0.102 0. 0. 0. 0.


















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 77 77 289 0 0 0 0 0
normalized size 1 1. 3.75 0. 0. 0. 0. 0.
time (sec) N/A 0.097 1.763 0.098 0. 0. 0. 0.


















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 116 0 0 0 0 0
normalized size 1 1. 1.51 0. 0. 0. 0. 0.
time (sec) N/A 0.107 3.821 0.095 0. 0. 0. 0.


















Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 86 86 285 0 0 0 0 0
normalized size 1 1. 3.31 0. 0. 0. 0. 0.
time (sec) N/A 0.076 1.387 0.516 0. 0. 0. 0.


















Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 89 89 287 0 0 0 0 0
normalized size 1 1. 3.22 0. 0. 0. 0. 0.
time (sec) N/A 0.088 0.17 0.49 0. 0. 0. 0.


















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 89 89 287 0 0 0 0 0
normalized size 1 1. 3.22 0. 0. 0. 0. 0.
time (sec) N/A 0.089 0.134 0.432 0. 0. 0. 0.


















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 92 92 289 0 0 0 0 0
normalized size 1 1. 3.14 0. 0. 0. 0. 0.
time (sec) N/A 0.103 0.128 0.455 0. 0. 0. 0.


















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 80 0 115 208 0 0
normalized size 1 1. 1. 0. 1.44 2.6 0. 0.
time (sec) N/A 0.073 0.367 1.006 1.039 1.8 0. 0.


















Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 47 1732 80 123 0 0
normalized size 1 1. 0.9 33.31 1.54 2.37 0. 0.
time (sec) N/A 0.053 0.145 1.523 1.034 1.767 0. 0.


















Problem 494 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 22 120 38 58 0 0
normalized size 1 1. 0.88 4.8 1.52 2.32 0. 0.
time (sec) N/A 0.033 0.021 0.029 1.008 1.649 0. 0.


















Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 92 0 0 0 0 0
normalized size 1 1. 1.88 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.332 0.403 0. 0. 0. 0.


















Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 48 48 2113 0 0 0 0 0
normalized size 1 1. 44.02 0. 0. 0. 0. 0.
time (sec) N/A 0.052 16.831 0.397 0. 0. 0. 0.


















Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 73 73 8327 0 0 0 0 0
normalized size 1 1. 114.07 0. 0. 0. 0. 0.
time (sec) N/A 0.085 25.619 0.859 0. 0. 0. 0.


















Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 73 73 6192 0 0 0 0 0
normalized size 1 1. 84.82 0. 0. 0. 0. 0.
time (sec) N/A 0.082 24.741 0.701 0. 0. 0. 0.


















Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 73 73 4143 0 0 0 0 0
normalized size 1 1. 56.75 0. 0. 0. 0. 0.
time (sec) N/A 0.081 18.737 0.917 0. 0. 0. 0.


















Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 73 73 61 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.033 0.047 0.169 0. 0. 0. 0.


















Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 73 73 2638 0 0 0 0 0
normalized size 1 1. 36.14 0. 0. 0. 0. 0.
time (sec) N/A 0.079 14.708 0.295 0. 0. 0. 0.


















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 73 73 3833 0 0 0 0 0
normalized size 1 1. 52.51 0. 0. 0. 0. 0.
time (sec) N/A 0.08 17.415 0.208 0. 0. 0. 0.


















Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 104 0 0 0 0 0
normalized size 1 1. 1.37 0. 0. 0. 0. 0.
time (sec) N/A 0.11 0.758 0.111 0. 0. 0. 0.


















Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 75 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.094 0.123 0.105 0. 0. 0. 0.


















Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 72 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.096 0.134 0.092 0. 0. 0. 0.


















Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 73 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.117 0.149 0.089 0. 0. 0. 0.


















Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 67 214 0 0 0 0
normalized size 1 1. 0.67 2.14 0. 0. 0. 0.
time (sec) N/A 0.078 0.176 0.226 0. 0. 0. 0.


















Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 62 538 0 0 0 0
normalized size 1 1. 0.83 7.17 0. 0. 0. 0.
time (sec) N/A 0.054 0.115 0.198 0. 0. 0. 0.


















Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 55 187 0 0 0 0
normalized size 1 1. 0.76 2.6 0. 0. 0. 0.
time (sec) N/A 0.052 0.074 0.142 0. 0. 0. 0.


















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 43 525 0 0 0 0
normalized size 1 1. 0.98 11.93 0. 0. 0. 0.
time (sec) N/A 0.028 0.046 0.13 0. 0. 0. 0.


















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 42 165 0 0 0 0
normalized size 1 1. 0.98 3.84 0. 0. 0. 0.
time (sec) N/A 0.019 0.035 0.093 0. 0. 0. 0.


















Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 57 514 0 0 0 0
normalized size 1 1. 0.84 7.56 0. 0. 0. 0.
time (sec) N/A 0.039 0.128 0.121 0. 0. 0. 0.


















Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 55 319 0 0 0 0
normalized size 1 1. 0.74 4.31 0. 0. 0. 0.
time (sec) N/A 0.04 0.09 0.127 0. 0. 0. 0.


















Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 68 1054 0 0 0 0
normalized size 1 1. 0.68 10.54 0. 0. 0. 0.
time (sec) N/A 0.058 0.14 0.158 0. 0. 0. 0.


















Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 68 216 0 0 0 0
normalized size 1 1. 0.66 2.1 0. 0. 0. 0.
time (sec) N/A 0.076 0.123 0.113 0. 0. 0. 0.


















Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 62 545 0 0 0 0
normalized size 1 1. 0.81 7.08 0. 0. 0. 0.
time (sec) N/A 0.056 0.189 0.151 0. 0. 0. 0.


















Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 56 189 0 0 0 0
normalized size 1 1. 0.75 2.52 0. 0. 0. 0.
time (sec) N/A 0.053 0.069 0.118 0. 0. 0. 0.


















Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 45 531 0 0 0 0
normalized size 1 1. 0.98 11.54 0. 0. 0. 0.
time (sec) N/A 0.038 0.027 0.131 0. 0. 0. 0.


















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 43 165 0 0 0 0
normalized size 1 1. 0.98 3.75 0. 0. 0. 0.
time (sec) N/A 0.028 0.016 0.125 0. 0. 0. 0.


















Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 54 520 0 0 0 0
normalized size 1 1. 0.76 7.32 0. 0. 0. 0.
time (sec) N/A 0.033 0.078 0.105 0. 0. 0. 0.


















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 58 319 0 0 0 0
normalized size 1 1. 0.81 4.43 0. 0. 0. 0.
time (sec) N/A 0.039 0.176 0.118 0. 0. 0. 0.


















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 68 1054 0 0 0 0
normalized size 1 1. 0.66 10.23 0. 0. 0. 0.
time (sec) N/A 0.058 0.244 0.135 0. 0. 0. 0.


















Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 70 208 0 0 0 0
normalized size 1 1. 0.69 2.04 0. 0. 0. 0.
time (sec) N/A 0.071 0.137 0.154 0. 0. 0. 0.


















Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 57 547 0 0 0 0
normalized size 1 1. 0.79 7.6 0. 0. 0. 0.
time (sec) N/A 0.051 0.169 0.148 0. 0. 0. 0.


















Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 64 181 0 0 0 0
normalized size 1 1. 0.86 2.45 0. 0. 0. 0.
time (sec) N/A 0.045 0.08 0.128 0. 0. 0. 0.


















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 42 521 0 0 0 0
normalized size 1 1. 0.98 12.12 0. 0. 0. 0.
time (sec) N/A 0.019 0.015 0.124 0. 0. 0. 0.


















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 45 165 0 0 0 0
normalized size 1 1. 0.98 3.59 0. 0. 0. 0.
time (sec) N/A 0.021 0.017 0.109 0. 0. 0. 0.


















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 52 522 0 0 0 0
normalized size 1 1. 0.74 7.46 0. 0. 0. 0.
time (sec) N/A 0.039 0.084 0.117 0. 0. 0. 0.


















Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 60 319 0 0 0 0
normalized size 1 1. 0.78 4.14 0. 0. 0. 0.
time (sec) N/A 0.039 0.071 0.129 0. 0. 0. 0.


















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 70 216 0 0 0 0
normalized size 1 1. 0.68 2.1 0. 0. 0. 0.
time (sec) N/A 0.074 0.114 0.137 0. 0. 0. 0.


















Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 60 546 0 0 0 0
normalized size 1 1. 0.81 7.38 0. 0. 0. 0.
time (sec) N/A 0.046 0.032 0.128 0. 0. 0. 0.


















Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 63 189 0 0 0 0
normalized size 1 1. 0.82 2.45 0. 0. 0. 0.
time (sec) N/A 0.033 0.018 0.108 0. 0. 0. 0.


















Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 45 533 0 0 0 0
normalized size 1 1. 0.98 11.59 0. 0. 0. 0.
time (sec) N/A 0.021 0.031 0.106 0. 0. 0. 0.


















Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 45 165 0 0 0 0
normalized size 1 1. 0.98 3.59 0. 0. 0. 0.
time (sec) N/A 0.022 0.017 0.107 0. 0. 0. 0.


















Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 55 522 0 0 0 0
normalized size 1 1. 0.75 7.15 0. 0. 0. 0.
time (sec) N/A 0.039 0.051 0.115 0. 0. 0. 0.


















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 60 319 0 0 0 0
normalized size 1 1. 0.78 4.14 0. 0. 0. 0.
time (sec) N/A 0.039 0.067 0.138 0. 0. 0. 0.


















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 73 1054 0 0 0 0
normalized size 1 1. 0.7 10.04 0. 0. 0. 0.
time (sec) N/A 0.059 0.113 0.148 0. 0. 0. 0.


















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 102 0 0 0 0 0
normalized size 1 1. 1.17 0. 0. 0. 0. 0.
time (sec) N/A 0.064 9.795 0.781 0. 0. 0. 0.









2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [290] had the largest ratio of [ 0.6154 ]

Table 2.1Rubi specific breakdown of results for each integral














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







1 A 1 1 1. 6 0.167







2 A 2 2 1. 8 0.25







3 A 2 1 1. 8 0.125







4 A 3 2 1. 8 0.25







5 A 2 1 1. 8 0.125







6 A 4 2 1. 8 0.25







7 A 2 1 1. 8 0.125







8 A 5 2 1. 8 0.25







9 A 3 2 1. 8 0.25







10 A 2 2 1. 8 0.25







11 A 2 2 1. 8 0.25







12 A 1 1 1. 8 0.125







13 A 1 1 1. 8 0.125







14 A 2 2 1. 8 0.25







15 A 2 2 1. 8 0.25







16 A 3 2 1. 8 0.25







17 A 3 2 1. 10 0.2







18 A 2 2 1. 10 0.2







19 A 2 2 1. 10 0.2







20 A 1 1 1. 10 0.1







21 A 1 1 1. 10 0.1







22 A 2 2 1. 10 0.2







23 A 2 2 1. 10 0.2







24 A 3 2 1. 10 0.2







25 A 4 3 1. 12 0.25







26 A 3 3 1. 12 0.25







27 A 3 3 1. 12 0.25







28 A 2 2 1. 12 0.167







29 A 2 2 1. 12 0.167







30 A 3 3 1. 12 0.25







31 A 3 3 1. 12 0.25







32 A 4 3 1. 12 0.25







33 A 1 1 1. 12 0.083







34 A 1 1 1. 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. 12 0.083







39 A 1 1 1. 8 0.125







40 A 1 1 1. 10 0.1







41 A 2 2 1. 21 0.095







42 A 2 2 1. 15 0.133







43 A 2 2 1. 15 0.133







44 A 2 2 1. 13 0.154







45 A 1 1 1. 6 0.167







46 A 2 2 1. 13 0.154







47 A 2 2 1. 15 0.133







48 A 2 2 1. 15 0.133







49 A 3 2 1. 17 0.118







50 A 3 2 1. 17 0.118







51 A 3 2 1. 17 0.118







52 A 2 2 1. 15 0.133







53 A 2 2 1. 8 0.25







54 A 2 2 1. 17 0.118







55 A 3 2 1. 17 0.118







56 A 3 2 1. 17 0.118







57 A 3 2 1. 17 0.118







58 A 5 3 1. 17 0.176







59 A 4 3 1. 17 0.176







60 A 3 3 1. 17 0.176







61 A 2 2 1. 8 0.25







62 A 3 3 1. 13 0.231







63 A 2 2 1. 15 0.133







64 A 3 3 1. 17 0.176







65 A 4 3 1. 17 0.176







66 A 3 2 1. 17 0.118







67 A 3 2 1. 17 0.118







68 A 3 2 1. 17 0.118







69 A 3 2 1. 17 0.118







70 A 2 2 1. 15 0.133







71 A 3 2 1. 15 0.133







72 A 3 2 1. 15 0.133







73 A 2 2 1. 8 0.25







74 A 2 1 1. 15 0.067







75 A 2 2 1. 17 0.118







76 A 3 2 1. 17 0.118







77 A 3 2 1. 17 0.118







78 A 3 2 1. 17 0.118







79 A 3 2 1. 17 0.118







80 A 3 2 1. 17 0.118







81 A 3 2 1. 17 0.118







82 A 3 2 1. 17 0.118







83 A 2 2 1. 15 0.133







84 A 4 4 1. 17 0.235







85 A 3 2 1. 8 0.25







86 A 2 2 1. 17 0.118







87 A 3 2 1. 17 0.118







88 A 3 2 1. 17 0.118







89 A 6 3 1. 17 0.176







90 A 5 3 1. 17 0.176







91 A 4 3 1. 17 0.176







92 A 3 2 1. 8 0.25







93 A 4 3 1. 15 0.2







94 A 4 4 1. 15 0.267







95 A 3 2 1. 15 0.133







96 A 4 3 1. 17 0.176







97 A 5 3 1. 17 0.176







98 A 4 3 1. 17 0.176







99 A 3 2 1. 17 0.118







100 A 4 3 1. 17 0.176







101 A 3 2 1. 17 0.118







102 A 3 2 1. 17 0.118







103 A 3 2 1. 17 0.118







104 A 2 2 1. 15 0.133







105 A 4 3 1. 15 0.2







106 A 3 2 1. 17 0.118







107 A 4 3 1. 17 0.176







108 A 3 2 1. 15 0.133







109 A 3 2 1. 8 0.25







110 A 3 2 1. 15 0.133







111 A 2 2 1. 17 0.118







112 A 3 2 1. 17 0.118







113 A 3 2 1. 17 0.118







114 A 3 2 1. 17 0.118







115 A 4 3 1. 17 0.176







116 A 3 2 1. 17 0.118







117 A 4 3 1. 17 0.176







118 A 5 4 1. 17 0.235







119 A 3 2 1. 15 0.133







120 A 4 3 1. 15 0.2







121 A 4 3 1. 15 0.2







122 A 4 3 1. 15 0.2







123 A 3 2 1. 15 0.133







124 A 3 3 1. 13 0.231







125 A 1 1 1. 6 0.167







126 A 2 2 1. 13 0.154







127 A 3 3 1. 15 0.2







128 A 3 2 1. 15 0.133







129 A 4 3 1. 15 0.2







130 A 4 3 1. 15 0.2







131 A 4 3 1. 15 0.2







132 A 4 3 1. 15 0.2







133 A 3 2 1. 17 0.118







134 A 5 4 1. 17 0.235







135 A 3 2 1. 17 0.118







136 A 4 4 1. 17 0.235







137 A 3 2 1. 15 0.133







138 A 2 2 1. 8 0.25







139 A 2 2 1. 13 0.154







140 A 3 3 1. 15 0.2







141 A 3 2 1. 17 0.118







142 A 4 4 1. 17 0.235







143 A 3 2 1. 17 0.118







144 A 5 4 1. 17 0.235







145 A 4 3 1. 17 0.176







146 A 5 4 1. 17 0.235







147 A 4 3 1. 17 0.176







148 A 4 4 1. 15 0.267







149 A 2 2 1. 8 0.25







150 A 2 2 1. 15 0.133







151 A 2 2 1. 15 0.133







152 A 3 2 1. 15 0.133







153 A 4 4 1. 17 0.235







154 A 4 3 1. 17 0.176







155 A 5 4 1. 17 0.235







156 A 4 3 1. 17 0.176







157 A 3 2 1. 17 0.118







158 A 6 4 1. 17 0.235







159 A 3 2 1. 17 0.118







160 A 5 4 1. 17 0.235







161 A 3 2 1. 15 0.133







162 A 3 2 1. 8 0.25







163 A 2 1 1. 15 0.067







164 A 2 2 1. 17 0.118







165 A 2 2 1. 15 0.133







166 A 4 3 1. 15 0.2







167 A 3 2 1. 17 0.118







168 A 5 4 1. 17 0.235







169 A 3 2 1. 17 0.118







170 A 6 4 1. 17 0.235







171 A 4 3 1. 17 0.176







172 A 6 4 1. 17 0.235







173 A 4 3 1. 17 0.176







174 A 5 4 1. 15 0.267







175 A 3 2 1. 8 0.25







176 A 3 2 1. 15 0.133







177 A 2 2 1. 17 0.118







178 A 3 3 1. 17 0.176







179 A 2 2 1. 15 0.133







180 A 4 3 1. 15 0.2







181 A 5 4 1. 17 0.235







182 A 4 3 1. 17 0.176







183 A 6 4 1. 17 0.235







184 A 4 3 1. 17 0.176







185 A 3 2 1. 9 0.222







186 A 3 2 1. 9 0.222







187 A 2 2 1. 19 0.105







188 A 2 2 1. 19 0.105







189 A 2 2 1. 19 0.105







190 A 2 2 1. 19 0.105







191 A 2 2 1. 19 0.105







192 A 2 2 1. 19 0.105







193 A 2 2 1. 19 0.105







194 A 5 4 1. 21 0.19







195 A 5 4 1. 21 0.19







196 A 4 4 1. 21 0.19







197 A 4 4 1. 21 0.19







198 A 3 3 1. 21 0.143







199 A 3 3 1. 21 0.143







200 A 3 3 1. 21 0.143







201 A 3 3 1. 21 0.143







202 A 4 4 1. 21 0.19







203 A 4 4 1. 21 0.19







204 A 3 2 1. 21 0.095







205 A 3 2 1. 21 0.095







206 A 3 2 1. 21 0.095







207 A 3 2 1. 21 0.095







208 A 3 2 1. 21 0.095







209 A 3 2 1. 21 0.095







210 A 3 2 1. 21 0.095







211 A 6 4 1. 21 0.19







212 A 6 4 1. 21 0.19







213 A 5 4 1. 21 0.19







214 A 5 4 1. 21 0.19







215 A 4 3 1. 21 0.143







216 A 4 3 1. 21 0.143







217 A 4 4 1. 21 0.19







218 A 4 4 1. 21 0.19







219 A 4 3 1. 21 0.143







220 A 4 3 1. 21 0.143







221 A 3 2 1. 19 0.105







222 A 7 6 1. 19 0.316







223 A 7 6 1. 19 0.316







224 A 6 6 1. 19 0.316







225 A 6 6 1. 19 0.316







226 A 5 5 1. 19 0.263







227 A 5 5 1. 19 0.263







228 A 6 6 1. 19 0.316







229 A 6 6 1. 19 0.316







230 A 7 6 1. 19 0.316







231 A 7 6 1. 19 0.316







232 A 5 4 1. 21 0.19







233 A 4 4 1. 21 0.19







234 A 4 4 1. 21 0.19







235 A 3 3 1. 21 0.143







236 A 3 3 1. 21 0.143







237 A 3 3 1. 21 0.143







238 A 3 3 1. 21 0.143







239 A 4 4 1. 21 0.19







240 A 4 4 1. 21 0.19







241 A 5 4 1. 21 0.19







242 A 8 7 1. 21 0.333







243 A 7 7 1. 21 0.333







244 A 7 7 1. 21 0.333







245 A 6 6 1. 21 0.286







246 A 6 6 1. 21 0.286







247 A 6 6 1. 21 0.286







248 A 6 6 1. 21 0.286







249 A 7 7 1. 21 0.333







250 A 7 7 1. 21 0.333







251 A 8 7 1. 21 0.333







252 A 2 2 1. 19 0.105







253 A 3 2 1. 11 0.182







254 A 3 2 1. 11 0.182







255 A 3 2 1. 11 0.182







256 A 3 2 1. 11 0.182







257 A 4 3 1. 25 0.12







258 A 3 3 1. 25 0.12







259 A 2 2 1. 25 0.08







260 A 3 3 1. 25 0.12







261 A 4 3 1. 25 0.12







262 A 11 8 1. 25 0.32







263 A 10 7 1. 25 0.28







264 A 1 1 1. 25 0.04







265 A 2 2 1. 25 0.08







266 A 3 2 1. 25 0.08







267 A 4 4 1. 25 0.16







268 A 3 3 1. 25 0.12







269 A 3 3 1. 25 0.12







270 A 4 4 1. 25 0.16







271 A 11 8 1. 25 0.32







272 A 11 8 1. 25 0.32







273 A 1 1 1. 25 0.04







274 A 3 3 1. 25 0.12







275 A 4 3 1. 25 0.12







276 A 5 4 1. 25 0.16







277 A 4 4 1. 25 0.16







278 A 3 3 1. 25 0.12







279 A 3 3 1. 25 0.12







280 A 4 4 1. 25 0.16







281 A 5 4 1. 25 0.16







282 A 11 8 1. 25 0.32







283 A 11 8 1. 25 0.32







284 A 1 1 1. 25 0.04







285 A 3 3 1. 25 0.12







286 A 4 3 1. 25 0.12







287 A 12 8 1. 21 0.381







288 A 1 1 1. 13 0.077







289 A 10 7 1. 13 0.538







290 A 11 8 1. 13 0.615







291 A 4 3 1. 25 0.12







292 A 3 3 1. 25 0.12







293 A 2 2 1. 25 0.08







294 A 3 3 1. 25 0.12







295 A 4 3 1. 25 0.12







296 A 10 7 1. 25 0.28







297 A 1 1 1. 25 0.04







298 A 2 2 1. 25 0.08







299 A 3 2 1. 25 0.08







300 A 10 7 1. 21 0.333







301 A 11 8 1. 21 0.381







302 A 11 8 1. 21 0.381







303 A 12 8 1. 21 0.381







304 A 1 1 1. 21 0.048







305 A 1 1 1. 21 0.048







306 A 1 1 1. 12 0.083







307 A 1 1 1. 21 0.048







308 A 1 1 1. 21 0.048







309 A 1 1 1. 21 0.048







310 A 1 1 1. 21 0.048







311 A 1 1 1. 12 0.083







312 A 1 1 1. 21 0.048







313 A 1 1 1. 21 0.048







314 A 1 1 1. 21 0.048







315 A 1 1 1. 21 0.048







316 A 1 1 1. 12 0.083







317 A 1 1 1. 21 0.048







318 A 1 1 1. 21 0.048







319 A 1 1 1. 21 0.048







320 A 1 1 1. 21 0.048







321 A 1 1 1. 12 0.083







322 A 1 1 1. 21 0.048







323 A 1 1 1. 21 0.048







324 A 8 8 1. 21 0.381







325 A 11 7 1. 21 0.333







326 A 12 8 1. 21 0.381







327 A 9 9 1. 21 0.429







328 A 9 9 1. 21 0.429







329 A 8 8 1. 21 0.381







330 A 11 7 1. 21 0.333







331 A 12 8 1. 21 0.381







332 A 9 9 1. 21 0.429







333 A 9 9 1. 21 0.429







334 A 1 1 1. 13 0.077







335 A 1 1 1. 13 0.077







336 A 1 1 1. 17 0.059







337 A 1 1 1. 19 0.053







338 A 1 1 1. 19 0.053







339 A 1 1 1. 21 0.048







340 A 3 2 1. 19 0.105







341 A 3 2 1. 19 0.105







342 A 2 2 1. 17 0.118







343 A 2 2 1. 17 0.118







344 A 2 2 1. 19 0.105







345 A 1 1 1. 19 0.053







346 A 1 1 1. 19 0.053







347 A 1 1 1. 10 0.1







348 A 1 1 1. 19 0.053







349 A 1 1 1. 19 0.053







350 A 1 1 1. 23 0.043







351 A 1 1 1. 23 0.043







352 A 1 1 1. 23 0.043







353 A 1 1 1. 23 0.043







354 A 1 1 1. 23 0.043







355 A 3 2 1. 19 0.105







356 A 3 2 1. 19 0.105







357 A 2 2 1. 17 0.118







358 A 2 2 1. 17 0.118







359 A 2 2 1. 19 0.105







360 A 2 2 1. 19 0.105







361 A 1 1 1. 19 0.053







362 A 1 1 1. 19 0.053







363 A 1 1 1. 10 0.1







364 A 1 1 1. 19 0.053







365 A 1 1 1. 19 0.053







366 A 1 1 1. 23 0.043







367 A 1 1 1. 23 0.043







368 A 1 1 1. 23 0.043







369 A 1 1 1. 23 0.043







370 A 1 1 1. 23 0.043







371 A 3 2 1. 21 0.095







372 A 3 2 1. 21 0.095







373 A 3 2 1. 21 0.095







374 A 2 2 1. 19 0.105







375 A 5 5 1. 19 0.263







376 A 6 6 1. 21 0.286







377 A 7 6 1. 21 0.286







378 A 5 3 1. 21 0.143







379 A 4 3 1. 21 0.143







380 A 3 3 1. 21 0.143







381 A 2 2 1. 12 0.167







382 A 3 3 1. 21 0.143







383 A 4 3 1. 21 0.143







384 A 5 3 1. 21 0.143







385 A 3 2 1. 21 0.095







386 A 3 2 1. 21 0.095







387 A 3 2 1. 21 0.095







388 A 2 2 1. 19 0.105







389 A 6 6 1. 19 0.316







390 A 7 7 1. 21 0.333







391 A 5 4 1. 21 0.19







392 A 4 4 1. 21 0.19







393 A 3 3 1. 21 0.143







394 A 3 3 1. 12 0.25







395 A 4 4 1. 21 0.19







396 A 5 4 1. 21 0.19







397 A 3 2 1. 21 0.095







398 A 3 2 1. 21 0.095







399 A 3 2 1. 21 0.095







400 A 2 2 1. 19 0.105







401 A 6 6 1. 19 0.316







402 A 7 7 1. 21 0.333







403 A 8 7 1. 21 0.333







404 A 5 4 1. 21 0.19







405 A 4 4 1. 21 0.19







406 A 3 3 1. 21 0.143







407 A 3 3 1. 12 0.25







408 A 4 4 1. 21 0.19







409 A 5 4 1. 21 0.19







410 A 3 2 1. 21 0.095







411 A 3 2 1. 21 0.095







412 A 3 2 1. 21 0.095







413 A 2 2 1. 19 0.105







414 A 5 5 1. 19 0.263







415 A 6 6 1. 21 0.286







416 A 7 6 1. 21 0.286







417 A 5 3 1. 21 0.143







418 A 4 3 1. 21 0.143







419 A 3 3 1. 21 0.143







420 A 2 2 1. 12 0.167







421 A 3 3 1. 21 0.143







422 A 4 3 1. 21 0.143







423 A 5 3 1. 21 0.143







424 A 3 2 1. 21 0.095







425 A 3 2 1. 21 0.095







426 A 3 2 1. 21 0.095







427 A 2 2 1. 19 0.105







428 A 6 6 1. 19 0.316







429 A 6 6 1. 21 0.286







430 A 7 7 1. 21 0.333







431 A 5 4 1. 21 0.19







432 A 4 4 1. 21 0.19







433 A 3 3 1. 12 0.25







434 A 3 3 1. 21 0.143







435 A 4 4 1. 21 0.19







436 A 5 4 1. 21 0.19







437 A 3 2 1. 21 0.095







438 A 3 2 1. 21 0.095







439 A 3 2 1. 21 0.095







440 A 2 2 1. 19 0.105







441 A 6 6 1. 19 0.316







442 A 6 6 1. 21 0.286







443 A 7 7 1. 21 0.333







444 A 5 4 1. 21 0.19







445 A 4 4 1. 21 0.19







446 A 3 3 1. 12 0.25







447 A 3 3 1. 21 0.143







448 A 4 4 1. 21 0.19







449 A 5 4 1. 21 0.19







450 A 13 9 1. 25 0.36







451 A 12 9 1. 25 0.36







452 A 11 8 1. 25 0.32







453 A 1 1 1. 25 0.04







454 A 2 2 1. 25 0.08







455 A 3 2 1. 25 0.08







456 A 5 4 1. 25 0.16







457 A 4 4 1. 25 0.16







458 A 3 3 1. 25 0.12







459 A 4 4 1. 25 0.16







460 A 5 4 1. 25 0.16







461 A 5 4 1. 23 0.174







462 A 4 4 1. 23 0.174







463 A 3 3 1. 23 0.13







464 A 4 4 1. 23 0.174







465 A 5 4 1. 23 0.174







466 A 12 9 1. 23 0.391







467 A 11 8 1. 23 0.348







468 A 1 1 1. 23 0.043







469 A 2 2 1. 23 0.087







470 A 3 2 1. 23 0.087







471 A 4 2 1. 23 0.087







472 A 14 10 1. 25 0.4







473 A 13 10 1. 25 0.4







474 A 12 9 1. 25 0.36







475 A 12 9 1. 25 0.36







476 A 1 1 1. 25 0.04







477 A 6 5 1. 25 0.2







478 A 5 5 1. 25 0.2







479 A 4 4 1. 25 0.16







480 A 4 4 1. 25 0.16







481 A 5 5 1. 25 0.2







482 A 6 5 1. 25 0.2







483 A 2 2 1. 23 0.087







484 A 2 2 1. 23 0.087







485 A 2 2 1. 23 0.087







486 A 2 2 1. 23 0.087







487 A 2 2 1. 23 0.087







488 A 2 2 1. 17 0.118







489 A 2 2 1. 19 0.105







490 A 2 2 1. 19 0.105







491 A 2 2 1. 21 0.095







492 A 3 2 1. 19 0.105







493 A 3 2 1. 19 0.105







494 A 2 2 1. 17 0.118







495 A 2 2 1. 17 0.118







496 A 2 2 1. 19 0.105







497 A 2 2 1. 19 0.105







498 A 2 2 1. 19 0.105







499 A 2 2 1. 19 0.105







500 A 2 2 1. 10 0.2







501 A 2 2 1. 19 0.105







502 A 2 2 1. 19 0.105







503 A 2 2 1. 23 0.087







504 A 2 2 1. 23 0.087







505 A 2 2 1. 23 0.087







506 A 2 2 1. 23 0.087







507 A 5 4 1. 21 0.19







508 A 4 4 1. 21 0.19







509 A 4 4 1. 21 0.19







510 A 3 3 1. 19 0.158







511 A 2 2 1. 12 0.167







512 A 4 4 1. 19 0.21







513 A 4 4 1. 21 0.19







514 A 5 4 1. 21 0.19







515 A 5 4 1. 21 0.19







516 A 4 4 1. 21 0.19







517 A 4 4 1. 21 0.19







518 A 3 3 1. 21 0.143







519 A 3 3 1. 19 0.158







520 A 3 3 1. 12 0.25







521 A 4 4 1. 19 0.21







522 A 5 4 1. 21 0.19







523 A 5 4 1. 21 0.19







524 A 4 4 1. 21 0.19







525 A 4 4 1. 19 0.21







526 A 2 2 1. 12 0.167







527 A 3 3 1. 19 0.158







528 A 4 4 1. 21 0.19







529 A 4 4 1. 21 0.19







530 A 5 4 1. 21 0.19







531 A 4 4 1. 19 0.21







532 A 3 3 1. 12 0.25







533 A 3 3 1. 19 0.158







534 A 3 3 1. 21 0.143







535 A 4 4 1. 21 0.19







536 A 4 4 1. 21 0.19







537 A 5 4 1. 21 0.19







538 A 2 2 1. 21 0.095