Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

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

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 74, 75, 76, 77, 78, 79, 83, 84, 85, 86, 87, 92, 93, 94, 95, 96, 97, 98, 103, 104, 105, 106, 107, 111, 112, 113, 114, 115, 118, 119, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 134, 135, 136, 137, 138, 141, 142, 143, 144, 145, 146, 150, 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, 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, 241, 242, 243, 244, 245, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 271, 273, 274, 275, 276, 277, 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, 313, 314, 315, 316, 317, 318, 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, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 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, 503, 505, 507, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 529, 531, 535, 538 }

B grade: { 4, 120, 121, 383, 405, 504, 528, 530 }

C grade: { 72, 73, 80, 81, 82, 88, 89, 90, 91, 99, 100, 101, 102, 108, 109, 110, 116, 117, 132, 133, 139, 140, 147, 148, 149, 151, 152, 153, 154, 155, 156, 157, 158, 159, 212, 240, 246, 270, 272, 278, 312, 319, 502, 506, 508, 509, 510, 533, 534, 536, 537 }

F grade: { 527, 532}

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 76, 77, 78, 84, 85, 94, 127, 134, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 174, 176, 178, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 209, 211, 213, 215, 216, 218, 219, 220, 221, 222, 223, 224, 225, 230, 237, 241, 244, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 261, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 304, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 365, 367, 370, 371, 372, 373, 375, 377, 378, 379, 384, 385, 386, 387, 389, 390, 391, 392, 393, 394, 395, 396, 398, 399, 400, 401, 402, 403, 406, 407, 408, 409, 410, 411, 412, 414, 415, 416, 417, 419, 420, 421, 422, 424, 425, 426, 428, 430, 431, 432, 433, 434, 435, 436, 437, 439, 441, 445, 446, 447, 449, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 472, 473, 474, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 491, 492, 493, 498, 499, 500, 501, 505, 506, 507, 508, 511, 512, 517, 518, 519, 520, 521, 535 }

B grade: { 23, 28, 34, 40, 46, 47, 48, 49, 67, 71, 74, 75, 79, 83, 86, 87, 92, 93, 107, 114, 115, 118, 133, 139, 140, 173, 175, 180, 181, 182, 214, 227, 228, 229, 231, 232, 233, 247, 259, 260, 262, 263, 264, 265, 268, 278, 279, 303, 305, 306, 307, 308, 310, 319, 345, 369, 413, 418, 423, 488, 489, 490, 494, 495, 496, 502, 503, 504, 509, 510, 537, 538 }

C grade: { 72, 73, 80, 81, 82, 88, 89, 90, 91, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 108, 109, 110, 111, 112, 113, 116, 117, 119, 120, 121, 122, 123, 124, 125, 126, 128, 129, 130, 131, 132, 135, 136, 137, 138, 154, 155, 156, 157, 158, 159, 177, 179, 183, 208, 210, 212, 217, 226, 234, 235, 236, 238, 239, 240, 242, 243, 245, 246, 266, 267, 269, 270, 271, 272, 273, 274, 275, 276, 277, 309, 311, 312, 313, 314, 315, 316, 317, 318, 346, 347, 364, 366, 368, 388, 427, 429, 448, 450, 497, 522, 523, 524, 525, 526, 527, 533 }

F grade: { 280, 320, 348, 374, 376, 380, 381, 382, 383, 397, 404, 405, 438, 440, 442, 443, 444, 471, 475, 513, 514, 515, 516, 528, 529, 530, 531, 532, 534, 536 }

2.1.4 Maxima

A grade: { 1, 2, 3, 7, 8, 9, 10, 11, 12, 14, 18, 19, 20, 21, 24, 25, 30, 31, 35, 36, 42, 54, 62, 66, 69, 141, 142, 143, 144, 145, 146, 160, 161, 162, 163, 164, 165, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 178, 180, 182, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 209, 211, 213, 214, 215, 216, 218, 219, 220, 221, 222, 223, 224, 225, 227, 249, 251, 252, 254, 255, 257, 259, 261, 281, 282, 286, 287, 291, 292, 296, 302, 304, 307, 310, 321, 322, 328, 329, 335, 341, 349, 350, 358, 359, 364, 366, 368, 371, 387, 388, 390, 391, 393, 395, 398, 399, 403, 406, 407, 411, 412, 415, 416, 417, 420, 421, 422, 425, 427, 429, 434, 436, 448, 450, 457, 462, 463, 464, 469, 470, 479, 480, 485, 486, 491, 492, 498, 499, 500, 501, 505, 506, 507, 508, 520, 521, 525, 527, 535

B grade: { 4, 13, 17, 22, 23, 28, 29, 32, 33, 34, 37, 40, 41, 61, 67, 71, 75, 76, 77, 78, 79, 83, 84, 85, 86, 87, 92, 93, 94, 107, 114, 115, 118, 124, 125, 126, 166, 181, 228, 229, 230, 231, 232, 233, 235, 237, 239, 244, 250, 253, 256, 260, 262, 263, 264, 265, 267, 268, 269, 271, 274, 275, 276, 303, 305, 306, 308, 309, 311, 313, 314, 315, 316, 317, 345, 346, 347, 472, 473, 474 }

C grade: { 522, 523, 524, 526, 538 }

F grade: { 5, 6, 15, 16, 26, 27, 38, 39, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 63, 64, 65, 68, 70, 72, 73, 74, 80, 81, 82, 88, 89, 90, 91, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 108, 109, 110, 111, 112, 113, 116, 117, 119, 120, 121, 122, 123, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 177, 179, 183, 208, 210, 212, 217, 226, 234, 236, 238, 240, 241, 242, 243, 245, 246, 247, 248, 258, 266, 270, 272, 273, 277, 278, 279, 280, 283, 284, 285, 288, 289, 290, 293, 294, 295, 297, 298, 299, 300, 301, 312, 318, 319, 320, 323, 324, 325, 326, 327, 330, 331, 332, 333, 334, 336, 337, 338, 339, 340, 342, 343, 344, 348, 351, 352, 353, 354, 355, 356, 357, 360, 361, 362, 363, 365, 367, 369, 370, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 389, 392, 394, 396, 397, 400, 401, 402, 404, 405, 408, 409, 410, 413, 414, 418, 419, 423, 424, 426, 428, 430, 431, 432, 433, 435, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 449, 451, 452, 453, 454, 455, 456, 458, 459, 460, 461, 465, 466, 467, 468, 471, 475, 476, 477, 478, 481, 482, 483, 484, 487, 488, 489, 490, 493, 494, 495, 496, 497, 502, 503, 504, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 528, 529, 530, 531, 532, 533, 534, 536, 537 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 17, 18, 19, 20, 21, 22, 23, 28, 29, 30, 31, 32, 33, 34, 40, 41, 42, 54, 61, 62, 66, 107, 114, 115, 118, 124, 125, 126, 141, 142, 143, 144, 145, 146, 160, 161, 162, 163, 164, 165, 167, 169, 170, 171, 173, 175, 181, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 198, 200, 202, 204, 206, 214, 216, 218, 219, 220, 221, 222, 223, 224, 228, 230, 232, 237, 244, 249, 251, 252, 253, 254, 255, 256, 257, 260, 261, 262, 264, 267, 268, 269, 274, 275, 276, 281, 282, 286, 287, 291, 292, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 307, 308, 309, 310, 311, 314, 315, 316, 317, 321, 322, 328, 329, 335, 341, 344, 345, 346, 347, 349, 350, 358, 359, 364, 366, 368, 371, 387, 388, 390, 391, 393, 395, 398, 399, 403, 406, 407, 411, 412, 415, 416, 417, 420, 421, 422, 425, 427, 429, 434, 436, 448, 450, 457, 462, 463, 464, 468, 469, 470, 472, 473, 474, 476, 477, 478, 479, 480, 485, 486, 491, 492, 498, 499, 500, 501, 505, 511, 512, 519, 520, 521, 522, 523, 524, 525, 526, 535, 538 }

B grade: { 248, 250, 258, 283, 284, 285, 288, 289, 290, 293, 294, 295, 323, 324, 325, 326, 327, 330, 331, 332, 333, 334, 336, 337, 338, 339, 340, 342, 343, 351, 352, 353, 354, 355, 356, 357, 360, 361, 362, 363, 513, 514, 515, 516 }

C grade: { }

F grade: { 5, 6, 14, 15, 16, 24, 25, 26, 27, 35, 36, 37, 38, 39, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 63, 64, 65, 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, 108, 109, 110, 111, 112, 113, 116, 117, 119, 120, 121, 122, 123, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 166, 168, 172, 174, 176, 177, 178, 179, 180, 182, 183, 184, 197, 199, 201, 203, 205, 207, 208, 209, 210, 211, 212, 213, 215, 217, 225, 226, 227, 229, 231, 233, 234, 235, 236, 238, 239, 240, 241, 242, 243, 245, 246, 247, 259, 263, 265, 266, 270, 271, 272, 273, 277, 278, 279, 280, 306, 312, 313, 318, 319, 320, 348, 365, 367, 369, 370, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 389, 392, 394, 396, 397, 400, 401, 402, 404, 405, 408, 409, 410, 413, 414, 418, 419, 423, 424, 426, 428, 430, 431, 432, 433, 435, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 449, 451, 452, 453, 454, 455, 456, 458, 459, 460, 461, 465, 466, 467, 471, 475, 481, 482, 483, 484, 487, 488, 489, 490, 493, 494, 495, 496, 497, 502, 503, 504, 506, 507, 508, 509, 510, 517, 518, 527, 528, 529, 530, 531, 532, 533, 534, 536, 537 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 17, 18, 19, 20, 21, 22, 23, 28, 29, 30, 31, 32, 33, 34, 40, 41, 42, 54, 61, 62, 66, 141, 142, 143, 144, 145, 146, 161, 162, 163, 164, 165, 167, 169, 170, 171, 173, 175, 181, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 198, 200, 202, 204, 206, 214, 216, 218, 219, 220, 221, 222, 223, 224, 228, 230, 232, 237, 244, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 261, 264, 281, 282, 286, 287, 291, 292, 296, 302, 304, 307, 321, 322, 328, 329, 335, 341, 349, 350, 358, 359, 412, 415, 417, 420, 422, 425, 479, 480, 485, 486, 491, 492, 498, 499, 500, 501, 505, 511, 512, 522, 523, 524, 525, 526 }

B grade: { }

C grade: { }

F grade: { 5, 6, 14, 15, 16, 24, 25, 26, 27, 35, 36, 37, 38, 39, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 63, 64, 65, 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, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 166, 168, 172, 174, 176, 177, 178, 179, 180, 182, 183, 184, 197, 199, 201, 203, 205, 207, 208, 209, 210, 211, 212, 213, 215, 217, 225, 226, 227, 229, 231, 233, 234, 235, 236, 238, 239, 240, 241, 242, 243, 245, 246, 247, 259, 260, 262, 263, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 283, 284, 285, 288, 289, 290, 293, 294, 295, 297, 298, 299, 300, 301, 303, 305, 306, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 323, 324, 325, 326, 327, 330, 331, 332, 333, 334, 336, 337, 338, 339, 340, 342, 343, 344, 345, 346, 347, 348, 351, 352, 353, 354, 355, 356, 357, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 413, 414, 416, 418, 419, 421, 423, 424, 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, 481, 482, 483, 484, 487, 488, 489, 490, 493, 494, 495, 496, 497, 502, 503, 504, 506, 507, 508, 509, 510, 513, 514, 515, 516, 517, 518, 519, 520, 521, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 17, 18, 19, 20, 21, 22, 29, 30, 31, 32, 33, 41, 42, 54, 61, 62, 66, 107, 124, 141, 142, 143, 144, 145, 146, 160, 161, 162, 163, 165, 167, 169, 171, 173, 175, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 198, 200, 202, 204, 206, 218, 219, 220, 221, 222, 223, 224, 228, 230, 237, 244, 249, 251, 252, 253, 254, 255, 256, 257, 258, 261, 281, 282, 286, 287, 291, 292, 296, 302, 304, 321, 322, 328, 329, 335, 341, 349, 350, 358, 359, 364, 366, 368, 387, 388, 390, 391, 395, 403, 411, 412, 415, 416, 417, 420, 421, 422, 425, 427, 429, 448, 450, 462, 463, 464, 468, 469, 470, 479, 480, 485, 486, 491, 492, 498, 499, 500, 501, 511, 512, 513, 514, 515, 516, 519, 520, 521, 522, 524, 535, 538 }

B grade: { 23, 28, 34, 40, 164, 170, 248, 250, 371, 393, 434, 436, 457, 505, 523, 525, 526 }

C grade: { }

F grade: { 5, 6, 14, 15, 16, 24, 25, 26, 27, 35, 36, 37, 38, 39, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 63, 64, 65, 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, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 166, 168, 172, 174, 176, 177, 178, 179, 180, 181, 182, 183, 184, 197, 199, 201, 203, 205, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 225, 226, 227, 229, 231, 232, 233, 234, 235, 236, 238, 239, 240, 241, 242, 243, 245, 246, 247, 259, 260, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 283, 284, 285, 288, 289, 290, 293, 294, 295, 297, 298, 299, 300, 301, 303, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 323, 324, 325, 326, 327, 330, 331, 332, 333, 334, 336, 337, 338, 339, 340, 342, 343, 344, 345, 346, 347, 348, 351, 352, 353, 354, 355, 356, 357, 360, 361, 362, 363, 365, 367, 369, 370, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 389, 392, 394, 396, 397, 398, 399, 400, 401, 402, 404, 405, 406, 407, 408, 409, 410, 413, 414, 418, 419, 423, 424, 426, 428, 430, 431, 432, 433, 435, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 449, 451, 452, 453, 454, 455, 456, 458, 459, 460, 461, 465, 466, 467, 471, 472, 473, 474, 475, 476, 477, 478, 481, 482, 483, 484, 487, 488, 489, 490, 493, 494, 495, 496, 497, 502, 503, 504, 506, 507, 508, 509, 510, 517, 518, 527, 528, 529, 530, 531, 532, 533, 534, 536, 537 }

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 108 108 97 101 163 275 124 147
normalized size 1 1. 0.9 0.94 1.51 2.55 1.15 1.36
time (sec) N/A 0.097 0.074 0.041 0.957 2.05 3.053 1.248


















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 96 96 87 91 149 240 112 134
normalized size 1 1. 0.91 0.95 1.55 2.5 1.17 1.4
time (sec) N/A 0.097 0.063 0.032 0.948 2.049 2.589 1.247


















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 84 84 79 81 134 219 100 120
normalized size 1 1. 0.94 0.96 1.6 2.61 1.19 1.43
time (sec) N/A 0.075 0.055 0.031 0.972 1.968 1.613 1.223


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 95 65 115 185 75 103
normalized size 1 1. 2.16 1.48 2.61 4.2 1.7 2.34
time (sec) N/A 0.03 0.01 0.027 0.955 2.012 0.969 1.185


















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 54 86 0 0 0 0
normalized size 1 1. 0.9 1.43 0. 0. 0. 0.
time (sec) N/A 0.069 0.075 0.039 0. 0. 0. 0.


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 70 70 71 105 0 0 0 0
normalized size 1 1. 1.01 1.5 0. 0. 0. 0.
time (sec) N/A 0.086 0.064 0.046 0. 0. 0. 0.


















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 56 56 76 84 120 220 95 115
normalized size 1 1. 1.36 1.5 2.14 3.93 1.7 2.05
time (sec) N/A 0.054 0.06 0.039 0.957 2.038 4.171 1.189


















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 98 98 86 95 134 244 117 132
normalized size 1 1. 0.88 0.97 1.37 2.49 1.19 1.35
time (sec) N/A 0.087 0.064 0.039 0.96 2.225 2.389 1.271


















Problem 9 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 110 110 94 105 154 267 129 146
normalized size 1 1. 0.85 0.95 1.4 2.43 1.17 1.33
time (sec) N/A 0.092 0.065 0.04 0.966 2.102 3.096 1.257


















Problem 10 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 157 157 125 159 284 373 196 220
normalized size 1 1. 0.8 1.01 1.81 2.38 1.25 1.4
time (sec) N/A 0.168 0.105 0.031 0.964 2.037 8.174 1.255


















Problem 11 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 143 143 115 147 248 332 177 203
normalized size 1 1. 0.8 1.03 1.73 2.32 1.24 1.42
time (sec) N/A 0.154 0.094 0.029 0.976 2.054 3.031 1.325


















Problem 12 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 129 129 107 135 242 302 167 188
normalized size 1 1. 0.83 1.05 1.88 2.34 1.29 1.46
time (sec) N/A 0.13 0.088 0.029 0.969 1.933 2.457 1.233


















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 92 121 198 255 131 163
normalized size 1 1. 1.3 1.7 2.79 3.59 1.85 2.3
time (sec) N/A 0.043 0.105 0.026 0.959 2.04 1.548 1.218


















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 114 114 103 142 234 0 0 0
normalized size 1 1. 0.9 1.25 2.05 0. 0. 0.
time (sec) N/A 0.114 0.103 0.042 1.454 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 NO TBD TBD TBD TBD TBD
size 61 80 73 123 0 0 0 0
normalized size 1 1.31 1.2 2.02 0. 0. 0. 0.
time (sec) N/A 0.126 0.106 0.041 0. 0. 0. 0.


















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 137 137 143 176 0 0 0 0
normalized size 1 1. 1.04 1.28 0. 0. 0. 0.
time (sec) N/A 0.14 0.101 0.046 0. 0. 0. 0.


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 103 141 212 293 158 188
normalized size 1 1. 1.27 1.74 2.62 3.62 1.95 2.32
time (sec) N/A 0.085 0.094 0.037 0.962 2.173 4.616 1.303


















Problem 18 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 147 147 114 153 240 332 189 205
normalized size 1 1. 0.78 1.04 1.63 2.26 1.29 1.39
time (sec) N/A 0.149 0.097 0.04 0.975 2.099 5.27 1.251


















Problem 19 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 161 161 122 165 262 363 199 223
normalized size 1 1. 0.76 1.02 1.63 2.25 1.24 1.39
time (sec) N/A 0.16 0.095 0.04 0.97 2.36 4.643 1.415


















Problem 20 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 192 192 151 199 385 440 243 267
normalized size 1 1. 0.79 1.04 2.01 2.29 1.27 1.39
time (sec) N/A 0.181 0.134 0.028 0.973 2.308 6.683 1.335


















Problem 21 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 178 178 142 187 358 413 235 251
normalized size 1 1. 0.8 1.05 2.01 2.32 1.32 1.41
time (sec) N/A 0.176 0.126 0.031 0.966 2.22 4.327 1.256


















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 133 173 329 369 211 235
normalized size 1 1. 0.99 1.28 2.44 2.73 1.56 1.74
time (sec) N/A 0.101 0.107 0.029 0.968 1.899 4.209 1.218


















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 115 162 296 333 182 215
normalized size 1 1. 1.37 1.93 3.52 3.96 2.17 2.56
time (sec) N/A 0.051 0.145 0.029 0.971 2.015 2.598 1.245


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 152 152 148 182 308 0 0 0
normalized size 1 1. 0.97 1.2 2.03 0. 0. 0.
time (sec) N/A 0.166 0.136 0.042 1.478 0. 0. 0.


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 150 150 149 189 309 0 0 0
normalized size 1 1. 0.99 1.26 2.06 0. 0. 0.
time (sec) N/A 0.158 0.141 0.049 1.448 0. 0. 0.


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 160 160 165 200 0 0 0 0
normalized size 1 1. 1.03 1.25 0. 0. 0. 0.
time (sec) N/A 0.168 0.144 0.052 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 NO TBD TBD TBD TBD TBD
size 176 176 175 216 0 0 0 0
normalized size 1 1. 0.99 1.23 0. 0. 0. 0.
time (sec) N/A 0.194 0.139 0.049 0. 0. 0. 0.


















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 131 181 308 373 207 236
normalized size 1 1. 1.41 1.95 3.31 4.01 2.23 2.54
time (sec) N/A 0.099 0.119 0.04 0.96 2.151 3.919 1.405


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 140 193 338 398 233 254
normalized size 1 1. 1.02 1.41 2.47 2.91 1.7 1.85
time (sec) N/A 0.119 0.123 0.039 0.968 2.072 4.861 1.535


















Problem 30 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 196 196 149 205 369 446 257 271
normalized size 1 1. 0.76 1.05 1.88 2.28 1.31 1.38
time (sec) N/A 0.177 0.125 0.039 0.974 2.094 8.384 1.77


















Problem 31 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 224 224 177 237 504 521 294 317
normalized size 1 1. 0.79 1.06 2.25 2.33 1.31 1.42
time (sec) N/A 0.213 0.158 0.03 0.971 2.245 7.013 1.223


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 168 225 458 490 279 300
normalized size 1 1. 0.98 1.32 2.68 2.87 1.63 1.75
time (sec) N/A 0.181 0.146 0.027 0.974 2.202 5.841 1.269


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 159 215 440 452 269 285
normalized size 1 1. 1.04 1.41 2.88 2.95 1.76 1.86
time (sec) N/A 0.116 0.141 0.03 0.979 2.124 4.795 1.299


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 146 202 382 402 226 261
normalized size 1 1. 1.36 1.89 3.57 3.76 2.11 2.44
time (sec) N/A 0.055 0.178 0.026 0.95 2.046 5.007 1.28


















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 185 185 179 222 373 0 0 0
normalized size 1 1. 0.97 1.2 2.02 0. 0. 0.
time (sec) N/A 0.197 0.17 0.044 1.469 0. 0. 0.


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 178 178 194 229 379 0 0 0
normalized size 1 1. 1.09 1.29 2.13 0. 0. 0.
time (sec) N/A 0.2 0.175 0.049 1.463 0. 0. 0.


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 156 156 143 210 396 0 0 0
normalized size 1 1. 0.92 1.35 2.54 0. 0. 0.
time (sec) N/A 0.189 0.166 0.045 1.45 0. 0. 0.


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 189 189 197 240 0 0 0 0
normalized size 1 1. 1.04 1.27 0. 0. 0. 0.
time (sec) N/A 0.217 0.175 0.049 0. 0. 0. 0.


















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 209 209 206 256 0 0 0 0
normalized size 1 1. 0.99 1.22 0. 0. 0. 0.
time (sec) N/A 0.229 0.17 0.049 0. 0. 0. 0.


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 157 221 404 443 253 286
normalized size 1 1. 1.44 2.03 3.71 4.06 2.32 2.62
time (sec) N/A 0.105 0.147 0.04 0.98 2.157 5.928 1.342


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 166 233 444 483 291 304
normalized size 1 1. 1.1 1.54 2.94 3.2 1.93 2.01
time (sec) N/A 0.125 0.155 0.04 0.988 2.201 6.818 1.638


















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 229 229 175 245 477 524 301 320
normalized size 1 1. 0.76 1.07 2.08 2.29 1.31 1.4
time (sec) N/A 0.197 0.175 0.042 1.015 2.311 17.409 2.606


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 177 177 129 253 0 0 0 0
normalized size 1 1. 0.73 1.43 0. 0. 0. 0.
time (sec) N/A 0.287 0.397 0.045 0. 0. 0. 0.


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 145 145 97 213 0 0 0 0
normalized size 1 1. 0.67 1.47 0. 0. 0. 0.
time (sec) N/A 0.184 0.244 0.045 0. 0. 0. 0.


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 94 94 75 157 0 0 0 0
normalized size 1 1. 0.8 1.67 0. 0. 0. 0.
time (sec) N/A 0.103 0.154 0.04 0. 0. 0. 0.


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 51 51 52 112 0 0 0 0
normalized size 1 1. 1.02 2.2 0. 0. 0. 0.
time (sec) N/A 0.048 0.097 0.039 0. 0. 0. 0.


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 46 46 55 156 0 0 0 0
normalized size 1 1. 1.2 3.39 0. 0. 0. 0.
time (sec) N/A 0.074 0.11 0.046 0. 0. 0. 0.


















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 93 93 93 225 0 0 0 0
normalized size 1 1. 1. 2.42 0. 0. 0. 0.
time (sec) N/A 0.153 0.192 0.053 0. 0. 0. 0.


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 146 146 133 286 0 0 0 0
normalized size 1 1. 0.91 1.96 0. 0. 0. 0.
time (sec) N/A 0.234 0.345 0.058 0. 0. 0. 0.


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 185 185 172 328 0 0 0 0
normalized size 1 1. 0.93 1.77 0. 0. 0. 0.
time (sec) N/A 0.346 0.423 0.059 0. 0. 0. 0.


















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 181 181 142 265 0 0 0 0
normalized size 1 1. 0.78 1.46 0. 0. 0. 0.
time (sec) N/A 0.222 0.701 0.064 0. 0. 0. 0.


















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 149 149 121 216 0 0 0 0
normalized size 1 1. 0.81 1.45 0. 0. 0. 0.
time (sec) N/A 0.185 0.575 0.055 0. 0. 0. 0.


















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 106 106 99 192 0 0 0 0
normalized size 1 1. 0.93 1.81 0. 0. 0. 0.
time (sec) N/A 0.143 0.379 0.046 0. 0. 0. 0.


















Problem 54 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 64 84 130 104 121 131
normalized size 1 1. 1.12 1.47 2.28 1.82 2.12 2.3
time (sec) N/A 0.045 0.068 0.035 0.953 2.071 4.215 1.137


















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 124 124 101 221 0 0 0 0
normalized size 1 1. 0.81 1.78 0. 0. 0. 0.
time (sec) N/A 0.174 0.407 0.053 0. 0. 0. 0.


















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 171 171 140 269 0 0 0 0
normalized size 1 1. 0.82 1.57 0. 0. 0. 0.
time (sec) N/A 0.221 0.814 0.058 0. 0. 0. 0.


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 212 212 189 338 0 0 0 0
normalized size 1 1. 0.89 1.59 0. 0. 0. 0.
time (sec) N/A 0.257 1.135 0.06 0. 0. 0. 0.


















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 227 227 189 319 0 0 0 0
normalized size 1 1. 0.83 1.41 0. 0. 0. 0.
time (sec) N/A 0.288 0.83 0.049 0. 0. 0. 0.


















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 194 194 167 270 0 0 0 0
normalized size 1 1. 0.86 1.39 0. 0. 0. 0.
time (sec) N/A 0.248 0.708 0.053 0. 0. 0. 0.


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 150 150 145 246 0 0 0 0
normalized size 1 1. 0.97 1.64 0. 0. 0. 0.
time (sec) N/A 0.219 0.493 0.048 0. 0. 0. 0.


















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 99 136 205 180 389 178
normalized size 1 1. 1.29 1.77 2.66 2.34 5.05 2.31
time (sec) N/A 0.082 0.107 0.037 0.989 2.13 3.763 1.204


















Problem 62 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 77 77 86 100 181 163 289 157
normalized size 1 1. 1.12 1.3 2.35 2.12 3.75 2.04
time (sec) N/A 0.055 0.073 0.033 0.976 2.117 4.165 1.25


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 161 161 147 264 0 0 0 0
normalized size 1 1. 0.91 1.64 0. 0. 0. 0.
time (sec) N/A 0.227 0.525 0.057 0. 0. 0. 0.


















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 218 218 186 319 0 0 0 0
normalized size 1 1. 0.85 1.46 0. 0. 0. 0.
time (sec) N/A 0.274 1.239 0.058 0. 0. 0. 0.


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 268 268 220 394 0 0 0 0
normalized size 1 1. 0.82 1.47 0. 0. 0. 0.
time (sec) N/A 0.317 1.497 0.062 0. 0. 0. 0.


















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 80 80 75 95 178 209 294 157
normalized size 1 1. 0.94 1.19 2.22 2.61 3.68 1.96
time (sec) N/A 0.054 0.105 0.034 0.973 2.377 8.15 1.16


















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 41 41 39 126 162 0 0 0
normalized size 1 1. 0.95 3.07 3.95 0. 0. 0.
time (sec) N/A 0.065 0.074 0.045 0.961 0. 0. 0.


















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 270 270 271 422 0 0 0 0
normalized size 1 1. 1. 1.56 0. 0. 0. 0.
time (sec) N/A 0.65 0.753 0.054 0. 0. 0. 0.


















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 236 236 234 383 543 0 0 0
normalized size 1 1. 0.99 1.62 2.3 0. 0. 0.
time (sec) N/A 0.526 0.575 0.061 2.101 0. 0. 0.


















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 196 196 201 341 0 0 0 0
normalized size 1 1. 1.03 1.74 0. 0. 0. 0.
time (sec) N/A 0.394 0.48 0.048 0. 0. 0. 0.


















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 112 112 156 296 392 0 0 0
normalized size 1 1. 1.39 2.64 3.5 0. 0. 0.
time (sec) N/A 0.119 0.319 0.051 1.741 0. 0. 0.


















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 191 191 228 3644 0 0 0 0
normalized size 1 1. 1.19 19.08 0. 0. 0. 0.
time (sec) N/A 0.451 0.53 0.403 0. 0. 0. 0.


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 201 201 249 3104 0 0 0 0
normalized size 1 1. 1.24 15.44 0. 0. 0. 0.
time (sec) N/A 0.484 0.516 0.82 0. 0. 0. 0.


















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 151 151 206 400 0 0 0 0
normalized size 1 1. 1.36 2.65 0. 0. 0. 0.
time (sec) N/A 0.365 0.281 0.071 0. 0. 0. 0.


















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 206 206 246 440 563 0 0 0
normalized size 1 1. 1.19 2.14 2.73 0. 0. 0.
time (sec) N/A 0.453 0.472 0.07 3.068 0. 0. 0.


















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 356 356 329 569 1034 0 0 0
normalized size 1 1. 0.92 1.6 2.9 0. 0. 0.
time (sec) N/A 1.024 1.047 0.054 2.248 0. 0. 0.


















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 312 312 297 521 815 0 0 0
normalized size 1 1. 0.95 1.67 2.61 0. 0. 0.
time (sec) N/A 0.884 1. 0.053 2.15 0. 0. 0.


















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 280 280 263 478 824 0 0 0
normalized size 1 1. 0.94 1.71 2.94 0. 0. 0.
time (sec) N/A 0.652 0.749 0.049 2.164 0. 0. 0.


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 175 175 227 372 626 0 0 0
normalized size 1 1. 1.3 2.13 3.58 0. 0. 0.
time (sec) N/A 0.164 0.668 0.048 1.775 0. 0. 0.


















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 278 278 324 1082 0 0 0 0
normalized size 1 1. 1.17 3.89 0. 0. 0. 0.
time (sec) N/A 0.586 0.705 0.853 0. 0. 0. 0.


















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 283 283 341 6039 0 0 0 0
normalized size 1 1. 1.2 21.34 0. 0. 0. 0.
time (sec) N/A 0.629 0.529 0.839 0. 0. 0. 0.


















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 313 313 370 1167 0 0 0 0
normalized size 1 1. 1.18 3.73 0. 0. 0. 0.
time (sec) N/A 0.673 0.75 1.217 0. 0. 0. 0.


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 244 244 270 550 749 0 0 0
normalized size 1 1. 1.11 2.25 3.07 0. 0. 0.
time (sec) N/A 0.256 0.639 0.076 3.078 0. 0. 0.


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 415 415 385 662 1253 0 0 0
normalized size 1 1. 0.93 1.6 3.02 0. 0. 0.
time (sec) N/A 1.459 1.633 0.057 2.219 0. 0. 0.


















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 377 377 356 618 1046 0 0 0
normalized size 1 1. 0.94 1.64 2.77 0. 0. 0.
time (sec) N/A 1.23 1.289 0.055 2.159 0. 0. 0.


















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 286 286 325 570 1053 0 0 0
normalized size 1 1. 1.14 1.99 3.68 0. 0. 0.
time (sec) N/A 0.597 1.189 0.054 2.155 0. 0. 0.


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 206 206 293 462 846 0 0 0
normalized size 1 1. 1.42 2.24 4.11 0. 0. 0.
time (sec) N/A 0.214 0.862 0.05 1.76 0. 0. 0.


















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 355 355 448 1186 0 0 0 0
normalized size 1 1. 1.26 3.34 0. 0. 0. 0.
time (sec) N/A 0.813 0.828 1.046 0. 0. 0. 0.


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 361 361 479 1270 0 0 0 0
normalized size 1 1. 1.33 3.52 0. 0. 0. 0.
time (sec) N/A 0.776 0.635 1.339 0. 0. 0. 0.


















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 385 385 461 1358 0 0 0 0
normalized size 1 1. 1.2 3.53 0. 0. 0. 0.
time (sec) N/A 0.788 1.004 1.214 0. 0. 0. 0.


















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 396 396 569 1337 0 0 0 0
normalized size 1 1. 1.44 3.38 0. 0. 0. 0.
time (sec) N/A 0.927 0.721 1.52 0. 0. 0. 0.


















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 271 271 343 646 1098 0 0 0
normalized size 1 1. 1.27 2.38 4.05 0. 0. 0.
time (sec) N/A 0.308 0.771 0.075 3.105 0. 0. 0.


















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 352 352 372 691 1057 0 0 0
normalized size 1 1. 1.06 1.96 3. 0. 0. 0.
time (sec) N/A 0.368 1.104 0.083 3.154 0. 0. 0.


















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 479 479 402 736 1297 0 0 0
normalized size 1 1. 0.84 1.54 2.71 0. 0. 0.
time (sec) N/A 0.509 1.377 0.073 3.172 0. 0. 0.


















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 329 329 347 1298 0 0 0 0
normalized size 1 1. 1.05 3.95 0. 0. 0. 0.
time (sec) N/A 0.84 0.863 0.964 0. 0. 0. 0.


















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 247 247 260 1192 0 0 0 0
normalized size 1 1. 1.05 4.83 0. 0. 0. 0.
time (sec) N/A 0.533 0.504 0.623 0. 0. 0. 0.


















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 172 172 140 5361 0 0 0 0
normalized size 1 1. 0.81 31.17 0. 0. 0. 0.
time (sec) N/A 0.306 0.483 0.507 0. 0. 0. 0.


















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 84 84 102 822 0 0 0 0
normalized size 1 1. 1.21 9.79 0. 0. 0. 0.
time (sec) N/A 0.146 0.204 0.266 0. 0. 0. 0.


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 77 77 132 1389 0 0 0 0
normalized size 1 1. 1.71 18.04 0. 0. 0. 0.
time (sec) N/A 0.166 0.374 0.306 0. 0. 0. 0.


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 162 162 225 7232 0 0 0 0
normalized size 1 1. 1.39 44.64 0. 0. 0. 0.
time (sec) N/A 0.412 0.64 0.685 0. 0. 0. 0.


















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 250 250 317 1841 0 0 0 0
normalized size 1 1. 1.27 7.36 0. 0. 0. 0.
time (sec) N/A 0.634 1.016 1.205 0. 0. 0. 0.


















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 334 334 388 2010 0 0 0 0
normalized size 1 1. 1.16 6.02 0. 0. 0. 0.
time (sec) N/A 0.976 1.421 1.181 0. 0. 0. 0.


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 394 394 425 1467 0 0 0 0
normalized size 1 1. 1.08 3.72 0. 0. 0. 0.
time (sec) N/A 0.841 1.68 0.806 0. 0. 0. 0.


















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 331 331 354 1354 0 0 0 0
normalized size 1 1. 1.07 4.09 0. 0. 0. 0.
time (sec) N/A 0.625 1.256 0.666 0. 0. 0. 0.


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 260 260 295 5542 0 0 0 0
normalized size 1 1. 1.13 21.32 0. 0. 0. 0.
time (sec) N/A 0.476 0.919 0.507 0. 0. 0. 0.


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 188 188 233 1030 0 0 0 0
normalized size 1 1. 1.24 5.48 0. 0. 0. 0.
time (sec) N/A 0.343 0.625 0.277 0. 0. 0. 0.


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 124 341 374 215 0 203
normalized size 1 1. 1.16 3.19 3.5 2.01 0. 1.9
time (sec) N/A 0.124 0.132 0.056 0.99 2.053 0. 1.179


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 295 295 254 1566 0 0 0 0
normalized size 1 1. 0.86 5.31 0. 0. 0. 0.
time (sec) N/A 0.64 0.848 0.339 0. 0. 0. 0.


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 371 371 347 7397 0 0 0 0
normalized size 1 1. 0.94 19.94 0. 0. 0. 0.
time (sec) N/A 0.797 1.712 0.682 0. 0. 0. 0.


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 480 480 452 2009 0 0 0 0
normalized size 1 1. 0.94 4.19 0. 0. 0. 0.
time (sec) N/A 0.953 2.152 1. 0. 0. 0. 0.


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 408 408 420 1565 0 0 0 0
normalized size 1 1. 1.03 3.84 0. 0. 0. 0.
time (sec) N/A 0.811 2.013 0.816 0. 0. 0. 0.


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 337 337 418 5750 0 0 0 0
normalized size 1 1. 1.24 17.06 0. 0. 0. 0.
time (sec) N/A 0.662 1.307 0.556 0. 0. 0. 0.


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 265 265 310 1241 0 0 0 0
normalized size 1 1. 1.17 4.68 0. 0. 0. 0.
time (sec) N/A 0.544 1.395 0.345 0. 0. 0. 0.


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 150 460 579 354 0 0
normalized size 1 1. 0.96 2.93 3.69 2.25 0. 0.
time (sec) N/A 0.214 0.308 0.066 1.029 1.977 0. 0.


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 183 398 539 338 0 0
normalized size 1 1. 1.17 2.54 3.43 2.15 0. 0.
time (sec) N/A 0.178 0.137 0.062 1.033 1.986 0. 0.


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 362 362 376 1752 0 0 0 0
normalized size 1 1. 1.04 4.84 0. 0. 0. 0.
time (sec) N/A 0.804 1.401 0.432 0. 0. 0. 0.


















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 448 448 479 7593 0 0 0 0
normalized size 1 1. 1.07 16.95 0. 0. 0. 0.
time (sec) N/A 0.983 2.26 0.723 0. 0. 0. 0.


















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 168 386 601 458 0 0
normalized size 1 1. 0.95 2.19 3.41 2.6 0. 0.
time (sec) N/A 0.218 0.173 0.062 1.045 1.968 0. 0.


















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 67 67 59 717 0 0 0 0
normalized size 1 1. 0.88 10.7 0. 0. 0. 0.
time (sec) N/A 0.138 0.15 0.32 0. 0. 0. 0.


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 306 306 644 963 0 0 0 0
normalized size 1 1. 2.1 3.15 0. 0. 0. 0.
time (sec) N/A 0.658 1.446 0.316 0. 0. 0. 0.


















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 240 240 488 811 0 0 0 0
normalized size 1 1. 2.03 3.38 0. 0. 0. 0.
time (sec) N/A 0.443 0.988 0.278 0. 0. 0. 0.


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 191 191 334 6440 0 0 0 0
normalized size 1 1. 1.75 33.72 0. 0. 0. 0.
time (sec) N/A 0.301 0.501 0.58 0. 0. 0. 0.


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 111 111 152 1491 0 0 0 0
normalized size 1 1. 1.37 13.43 0. 0. 0. 0.
time (sec) N/A 0.221 0.287 0.313 0. 0. 0. 0.


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 198 1895 714 354 0 279
normalized size 1 1. 1.42 13.63 5.14 2.55 0. 2.01
time (sec) N/A 0.193 0.149 0.377 1.061 2.024 0. 1.191


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 208 208 215 2752 1075 554 0 0
normalized size 1 1. 1.03 13.23 5.17 2.66 0. 0.
time (sec) N/A 0.371 0.212 0.432 1.099 1.903 0. 0.


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 279 3637 1465 788 0 0
normalized size 1 1. 1.01 13.23 5.33 2.87 0. 0.
time (sec) N/A 0.614 0.218 0.454 1.187 1.998 0. 0.


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 309 309 172 400 0 0 0 0
normalized size 1 1. 0.56 1.29 0. 0. 0. 0.
time (sec) N/A 0.636 0.348 0.825 0. 0. 0. 0.


















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 205 205 126 833 0 0 0 0
normalized size 1 1. 0.61 4.06 0. 0. 0. 0.
time (sec) N/A 0.374 0.275 0.449 0. 0. 0. 0.


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 104 104 82 703 0 0 0 0
normalized size 1 1. 0.79 6.76 0. 0. 0. 0.
time (sec) N/A 0.164 0.084 0.191 0. 0. 0. 0.


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 93 93 86 1217 0 0 0 0
normalized size 1 1. 0.92 13.09 0. 0. 0. 0.
time (sec) N/A 0.172 0.148 0.284 0. 0. 0. 0.


















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 93 93 86 1217 0 0 0 0
normalized size 1 1. 0.92 13.09 0. 0. 0. 0.
time (sec) N/A 0.176 0.073 0.207 0. 0. 0. 0.


















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 191 191 154 1451 0 0 0 0
normalized size 1 1. 0.81 7.6 0. 0. 0. 0.
time (sec) N/A 0.463 0.29 0.536 0. 0. 0. 0.


















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 305 305 222 664 0 0 0 0
normalized size 1 1. 0.73 2.18 0. 0. 0. 0.
time (sec) N/A 0.748 0.629 0.984 0. 0. 0. 0.


















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 384 384 233 496 0 0 0 0
normalized size 1 1. 0.61 1.29 0. 0. 0. 0.
time (sec) N/A 0.862 0.407 0.571 0. 0. 0. 0.


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 261 261 172 454 0 0 0 0
normalized size 1 1. 0.66 1.74 0. 0. 0. 0.
time (sec) N/A 0.498 0.27 0.223 0. 0. 0. 0.


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 131 131 112 285 0 0 0 0
normalized size 1 1. 0.85 2.18 0. 0. 0. 0.
time (sec) N/A 0.214 0.109 0.201 0. 0. 0. 0.


















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 118 118 102 843 0 0 0 0
normalized size 1 1. 0.86 7.14 0. 0. 0. 0.
time (sec) N/A 0.221 0.169 0.277 0. 0. 0. 0.


















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 118 118 102 843 0 0 0 0
normalized size 1 1. 0.86 7.14 0. 0. 0. 0.
time (sec) N/A 0.225 0.078 0.214 0. 0. 0. 0.


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 239 239 172 583 0 0 0 0
normalized size 1 1. 0.72 2.44 0. 0. 0. 0.
time (sec) N/A 0.549 0.501 0.309 0. 0. 0. 0.


















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 380 380 250 858 0 0 0 0
normalized size 1 1. 0.66 2.26 0. 0. 0. 0.
time (sec) N/A 0.956 0.868 0.524 0. 0. 0. 0.


















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.041 2.3 0.274 0. 0. 0. 0.


















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.025 0.112 0.253 0. 0. 0. 0.


















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.133 0.298 0. 0. 0. 0.


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.039 1.936 0.252 0. 0. 0. 0.


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.021 1.046 0.115 0. 0. 0. 0.


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 1.216 0.113 0. 0. 0. 0.


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 275 275 474 381 0 0 0 0
normalized size 1 1. 1.72 1.39 0. 0. 0. 0.
time (sec) N/A 0.256 6.675 0.125 0. 0. 0. 0.


















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 214 214 394 298 0 0 0 0
normalized size 1 1. 1.84 1.39 0. 0. 0. 0.
time (sec) N/A 0.2 3.085 0.115 0. 0. 0. 0.


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 156 156 315 217 0 0 0 0
normalized size 1 1. 2.02 1.39 0. 0. 0. 0.
time (sec) N/A 0.154 2.442 0.112 0. 0. 0. 0.


















Problem 150 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 114 114 104 148 0 0 0 0
normalized size 1 1. 0.91 1.3 0. 0. 0. 0.
time (sec) N/A 0.071 0.196 0.103 0. 0. 0. 0.


















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 148 148 294 210 0 0 0 0
normalized size 1 1. 1.99 1.42 0. 0. 0. 0.
time (sec) N/A 0.164 1.639 0.119 0. 0. 0. 0.


















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 200 200 360 279 0 0 0 0
normalized size 1 1. 1.8 1.4 0. 0. 0. 0.
time (sec) N/A 0.204 3.222 0.134 0. 0. 0. 0.


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 261 261 435 367 0 0 0 0
normalized size 1 1. 1.67 1.41 0. 0. 0. 0.
time (sec) N/A 0.245 6.121 0.125 0. 0. 0. 0.


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 385 385 1297 1656 0 0 0 0
normalized size 1 1. 3.37 4.3 0. 0. 0. 0.
time (sec) N/A 0.427 16.059 1.298 0. 0. 0. 0.


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 279 279 1036 13923 0 0 0 0
normalized size 1 1. 3.71 49.9 0. 0. 0. 0.
time (sec) N/A 0.258 15.014 1.167 0. 0. 0. 0.


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 188 188 938 1170 0 0 0 0
normalized size 1 1. 4.99 6.22 0. 0. 0. 0.
time (sec) N/A 0.047 12.686 0.272 0. 0. 0. 0.


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 319 319 1034 1799 0 0 0 0
normalized size 1 1. 3.24 5.64 0. 0. 0. 0.
time (sec) N/A 0.431 12.193 0.44 0. 0. 0. 0.


















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 412 412 1188 26776 0 0 0 0
normalized size 1 1. 2.88 64.99 0. 0. 0. 0.
time (sec) N/A 0.604 13.593 2.493 0. 0. 0. 0.


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 275 275 733 1507 0 0 0 0
normalized size 1 1. 2.67 5.48 0. 0. 0. 0.
time (sec) N/A 0.336 9.249 0.247 0. 0. 0. 0.


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.031 0.51 0.684 0. 0. 0. 0.


















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 72 72 72 67 99 166 71 105
normalized size 1 1. 1. 0.93 1.38 2.31 0.99 1.46
time (sec) N/A 0.107 0.019 0.03 0.953 2.312 3.305 1.175


















Problem 162 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 63 63 79 65 97 143 54 113
normalized size 1 1. 1.25 1.03 1.54 2.27 0.86 1.79
time (sec) N/A 0.081 0.017 0.027 0.95 2.258 2.291 1.173


















Problem 163 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 62 62 62 59 88 149 63 95
normalized size 1 1. 1. 0.95 1.42 2.4 1.02 1.53
time (sec) N/A 0.087 0.015 0.03 0.951 2.19 1.839 1.162


















Problem 164 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 69 57 50 117 46 100
normalized size 1 1. 1.72 1.42 1.25 2.92 1.15 2.5
time (sec) N/A 0.022 0.014 0.027 0.965 2.194 1.366 1.163


















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 64 64 47 48 63 115 49 69
normalized size 1 1. 0.73 0.75 0.98 1.8 0.77 1.08
time (sec) N/A 0.021 0.009 0.026 0.954 2.212 0.996 1.17


















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 48 48 60 69 120 0 0 0
normalized size 1 1. 1.25 1.44 2.5 0. 0. 0.
time (sec) N/A 0.047 0.018 0.046 0.952 0. 0. 0.


















Problem 167 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 45 49 122 41 65
normalized size 1 1. 1. 1.18 1.29 3.21 1.08 1.71
time (sec) N/A 0.051 0.01 0.033 0.943 2.23 1.231 1.155


















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 56 56 68 87 109 0 0 0
normalized size 1 1. 1.21 1.55 1.95 0. 0. 0.
time (sec) N/A 0.051 0.031 0.044 0.957 0. 0. 0.


















Problem 169 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 58 58 58 59 72 144 63 99
normalized size 1 1. 1. 1.02 1.24 2.48 1.09 1.71
time (sec) N/A 0.076 0.015 0.038 0.945 2.242 1.732 1.17


















Problem 170 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 71 59 82 116 46 97
normalized size 1 1. 1.69 1.4 1.95 2.76 1.1 2.31
time (sec) N/A 0.03 0.016 0.036 0.956 2.244 1.237 1.236


















Problem 171 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 71 71 71 68 84 167 75 109
normalized size 1 1. 1. 0.96 1.18 2.35 1.06 1.54
time (sec) N/A 0.088 0.016 0.039 0.956 2.245 2.909 1.182


















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 162 162 113 225 257 0 0 0
normalized size 1 1. 0.7 1.39 1.59 0. 0. 0.
time (sec) N/A 0.579 0.902 0.049 0.984 0. 0. 0.


















Problem 173 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 116 116 88 205 197 247 114 139
normalized size 1 1. 0.76 1.77 1.7 2.13 0.98 1.2
time (sec) N/A 0.44 0.045 0.045 1.019 2.122 3.201 1.181


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 138 138 95 205 234 0 0 0
normalized size 1 1. 0.69 1.49 1.7 0. 0. 0.
time (sec) N/A 0.413 0.242 0.048 1.013 0. 0. 0.


















Problem 175 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 95 95 66 185 100 203 88 115
normalized size 1 1. 0.69 1.95 1.05 2.14 0.93 1.21
time (sec) N/A 0.049 0.03 0.045 0.965 2.198 1.823 1.169


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 115 115 71 182 194 0 0 0
normalized size 1 1. 0.62 1.58 1.69 0. 0. 0.
time (sec) N/A 0.103 0.05 0.047 0.98 0. 0. 0.


















Problem 177 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 146 146 145 663 0 0 0 0
normalized size 1 1. 0.99 4.54 0. 0. 0. 0.
time (sec) N/A 0.312 0.044 0.836 0. 0. 0. 0.


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 93 93 102 170 205 0 0 0
normalized size 1 1. 1.1 1.83 2.2 0. 0. 0.
time (sec) N/A 0.218 0.132 0.055 0.986 0. 0. 0.


















Problem 179 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 172 172 174 741 0 0 0 0
normalized size 1 1. 1.01 4.31 0. 0. 0. 0.
time (sec) N/A 0.334 0.074 1.208 0. 0. 0. 0.


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 116 116 93 237 254 0 0 0
normalized size 1 1. 0.8 2.04 2.19 0. 0. 0.
time (sec) N/A 0.308 0.262 0.06 0.985 0. 0. 0.


















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 82 199 221 239 102 0
normalized size 1 1. 0.92 2.24 2.48 2.69 1.15 0.
time (sec) N/A 0.108 0.033 0.06 0.968 2.519 2.461 0.


















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 143 143 114 258 308 0 0 0
normalized size 1 1. 0.8 1.8 2.15 0. 0. 0.
time (sec) N/A 0.445 0.431 0.062 0.998 0. 0. 0.


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 157 157 134 829 0 0 0 0
normalized size 1 1. 0.85 5.28 0. 0. 0. 0.
time (sec) N/A 0.192 0.294 0.551 0. 0. 0. 0.


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 193 193 232 251 374 0 0 0
normalized size 1 1. 1.2 1.3 1.94 0. 0. 0.
time (sec) N/A 0.227 0.247 0.049 1.461 0. 0. 0.


















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.025 0.745 0.252 0. 0. 0. 0.


















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.014 0.318 0.233 0. 0. 0. 0.


















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 1.091 0.26 0. 0. 0. 0.


















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 20 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.024 0.966 0.25 0. 0. 0. 0.


















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.013 1.315 0.233 0. 0. 0. 0.


















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.034 1.146 0.263 0. 0. 0. 0.


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.013 1.142 0.237 0. 0. 0. 0.


















Problem 192 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 96 96 96 87 120 213 100 127
normalized size 1 1. 1. 0.91 1.25 2.22 1.04 1.32
time (sec) N/A 0.189 0.027 0.028 0.961 1.985 4.934 1.158


















Problem 193 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 87 87 103 85 119 177 76 135
normalized size 1 1. 1.18 0.98 1.37 2.03 0.87 1.55
time (sec) N/A 0.137 0.028 0.027 0.943 1.955 4.001 1.183


















Problem 194 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 86 86 86 79 109 190 90 116
normalized size 1 1. 1. 0.92 1.27 2.21 1.05 1.35
time (sec) N/A 0.161 0.021 0.029 0.95 2.08 3.117 1.16


















Problem 195 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 93 77 62 154 68 77
normalized size 1 1. 1.86 1.54 1.24 3.08 1.36 1.54
time (sec) N/A 0.037 0.023 0.028 0.951 1.906 2.185 1.161


















Problem 196 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 104 104 71 68 89 161 75 103
normalized size 1 1. 0.68 0.65 0.86 1.55 0.72 0.99
time (sec) N/A 0.044 0.017 0.03 0.975 1.952 1.771 1.168


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 70 70 73 89 143 0 0 0
normalized size 1 1. 1.04 1.27 2.04 0. 0. 0.
time (sec) N/A 0.097 0.073 0.039 0.955 0. 0. 0.


















Problem 198 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 64 64 64 65 77 150 68 89
normalized size 1 1. 1. 1.02 1.2 2.34 1.06 1.39
time (sec) N/A 0.111 0.016 0.039 0.949 2. 2.699 1.216


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 62 80 111 0 0 0
normalized size 1 1. 1. 1.29 1.79 0. 0. 0.
time (sec) N/A 0.094 0.061 0.042 0.954 0. 0. 0.


















Problem 200 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 69 89 162 75 109
normalized size 1 1. 1. 1.01 1.31 2.38 1.1 1.6
time (sec) N/A 0.11 0.018 0.036 0.95 2.113 2.423 1.222


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 77 77 84 105 151 0 0 0
normalized size 1 1. 1.09 1.36 1.96 0. 0. 0.
time (sec) N/A 0.101 0.082 0.047 0.965 0. 0. 0.


















Problem 202 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 83 83 83 80 96 192 88 120
normalized size 1 1. 1. 0.96 1.16 2.31 1.06 1.45
time (sec) N/A 0.138 0.023 0.038 0.949 1.962 3.412 1.175


















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 202 202 138 259 289 0 0 0
normalized size 1 1. 0.68 1.28 1.43 0. 0. 0.
time (sec) N/A 1.025 1.805 0.049 0.981 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 156 156 108 239 230 300 153 174
normalized size 1 1. 0.69 1.53 1.47 1.92 0.98 1.12
time (sec) N/A 0.819 0.063 0.047 0.96 1.883 5.252 1.182


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 178 178 121 239 267 0 0 0
normalized size 1 1. 0.68 1.34 1.5 0. 0. 0.
time (sec) N/A 0.779 1.099 0.05 0.984 0. 0. 0.


















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 138 138 82 219 126 261 133 151
normalized size 1 1. 0.59 1.59 0.91 1.89 0.96 1.09
time (sec) N/A 0.088 0.054 0.049 0.965 2.006 3.571 1.209


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 171 171 99 216 236 0 0 0
normalized size 1 1. 0.58 1.26 1.38 0. 0. 0.
time (sec) N/A 0.133 0.654 0.047 0.963 0. 0. 0.


















Problem 208 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 186 186 191 728 0 0 0 0
normalized size 1 1. 1.03 3.91 0. 0. 0. 0.
time (sec) N/A 0.53 0.063 1.165 0. 0. 0. 0.


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 156 156 182 222 270 0 0 0
normalized size 1 1. 1.17 1.42 1.73 0. 0. 0.
time (sec) N/A 0.418 0.056 0.056 0.977 0. 0. 0.


















Problem 210 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 162 162 183 774 0 0 0 0
normalized size 1 1. 1.13 4.78 0. 0. 0. 0.
time (sec) N/A 0.461 0.07 1.15 0. 0. 0. 0.


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 167 167 153 249 274 0 0 0
normalized size 1 1. 0.92 1.49 1.64 0. 0. 0.
time (sec) N/A 0.43 0.069 0.061 0.989 0. 0. 0.


















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 214 214 238 927 0 0 0 0
normalized size 1 1. 1.11 4.33 0. 0. 0. 0.
time (sec) N/A 0.549 0.36 2.052 0. 0. 0. 0.


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 157 157 118 272 323 0 0 0
normalized size 1 1. 0.75 1.73 2.06 0. 0. 0.
time (sec) N/A 0.594 0.762 0.066 0.988 0. 0. 0.


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 99 233 254 300 148 0
normalized size 1 1. 0.88 2.06 2.25 2.65 1.31 0.
time (sec) N/A 0.194 0.059 0.06 0.964 2.117 4.792 0.


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 183 183 140 292 343 0 0 0
normalized size 1 1. 0.77 1.6 1.87 0. 0. 0.
time (sec) N/A 0.816 1.381 0.064 0.994 0. 0. 0.


















Problem 216 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 170 170 124 253 275 338 168 0
normalized size 1 1. 0.73 1.49 1.62 1.99 0.99 0.
time (sec) N/A 0.841 0.065 0.062 0.974 1.995 5.916 0.


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 248 248 183 883 0 0 0 0
normalized size 1 1. 0.74 3.56 0. 0. 0. 0.
time (sec) N/A 0.252 0.602 1.285 0. 0. 0. 0.


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.036 0.904 0.32 0. 0. 0. 0.


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.477 0.328 0. 0. 0. 0.


















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.051 1.447 0.38 0. 0. 0. 0.


















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.036 0.753 0.379 0. 0. 0. 0.


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.021 1.105 0.313 0. 0. 0. 0.


















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.048 1.01 0.32 0. 0. 0. 0.


















Problem 224 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 144 144 79 88 111 198 97 124
normalized size 1 1. 0.55 0.61 0.77 1.38 0.67 0.86
time (sec) N/A 0.067 0.046 0.029 0.967 2.391 4.303 1.207


















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 227 227 124 250 269 0 0 0
normalized size 1 1. 0.55 1.1 1.19 0. 0. 0.
time (sec) N/A 0.171 1.183 0.049 0.977 0. 0. 0.


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 338 338 231 932 0 0 0 0
normalized size 1 1. 0.68 2.76 0. 0. 0. 0.
time (sec) N/A 0.333 1.097 2.487 0. 0. 0. 0.


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 87 87 60 165 162 0 0 0
normalized size 1 1. 0.69 1.9 1.86 0. 0. 0.
time (sec) N/A 0.133 0.127 0.049 0.969 0. 0. 0.


















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 145 115 128 41 80
normalized size 1 1. 1. 3.45 2.74 3.05 0.98 1.9
time (sec) N/A 0.069 0.037 0.049 0.97 2.096 1.62 1.197


















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 54 54 44 125 169 0 0 0
normalized size 1 1. 0.81 2.31 3.13 0. 0. 0.
time (sec) N/A 0.071 0.049 0.046 0.967 0. 0. 0.


















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 88 47 10 30
normalized size 1 1. 1. 0.92 6.77 3.62 0.77 2.31
time (sec) N/A 0.016 0.004 0.025 0.976 1.871 1.458 1.135


















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 45 45 42 130 178 0 0 0
normalized size 1 1. 0.93 2.89 3.96 0. 0. 0.
time (sec) N/A 0.087 0.067 0.052 0.97 0. 0. 0.


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 41 132 111 150 37 0
normalized size 1 1. 1. 3.22 2.71 3.66 0.9 0.
time (sec) N/A 0.078 0.04 0.056 0.96 2.132 3.383 0.


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 84 84 60 209 219 0 0 0
normalized size 1 1. 0.71 2.49 2.61 0. 0. 0.
time (sec) N/A 0.155 0.259 0.058 0.97 0. 0. 0.


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 135 135 112 812 0 0 0 0
normalized size 1 1. 0.83 6.01 0. 0. 0. 0.
time (sec) N/A 0.302 0.122 0.292 0. 0. 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 75 75 59 5573 270 0 0 0
normalized size 1 1. 0.79 74.31 3.6 0. 0. 0.
time (sec) N/A 0.169 0.172 0.394 0.99 0. 0. 0.


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 78 78 68 741 0 0 0 0
normalized size 1 1. 0.87 9.5 0. 0. 0. 0.
time (sec) N/A 0.157 0.065 0.278 0. 0. 0. 0.


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 171 49 10 30
normalized size 1 1. 1. 0.92 13.15 3.77 0.77 2.31
time (sec) N/A 0.026 0.005 0.023 0.975 2.278 2.232 1.163


















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 66 66 60 1188 0 0 0 0
normalized size 1 1. 0.91 18. 0. 0. 0. 0.
time (sec) N/A 0.181 0.063 0.268 0. 0. 0. 0.


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 66 66 61 4449 320 0 0 0
normalized size 1 1. 0.92 67.41 4.85 0. 0. 0.
time (sec) N/A 0.215 0.223 0.374 0.993 0. 0. 0.


















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 138 138 133 1360 0 0 0 0
normalized size 1 1. 0.96 9.86 0. 0. 0. 0.
time (sec) N/A 0.357 0.341 0.41 0. 0. 0. 0.


















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 205 205 142 248 0 0 0 0
normalized size 1 1. 0.69 1.21 0. 0. 0. 0.
time (sec) N/A 0.469 0.269 0.895 0. 0. 0. 0.


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 103 103 78 788 0 0 0 0
normalized size 1 1. 0.76 7.65 0. 0. 0. 0.
time (sec) N/A 0.269 0.242 0.327 0. 0. 0. 0.


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 108 108 87 776 0 0 0 0
normalized size 1 1. 0.81 7.19 0. 0. 0. 0.
time (sec) N/A 0.206 0.064 0.285 0. 0. 0. 0.


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 282 49 10 30
normalized size 1 1. 1. 0.92 21.69 3.77 0.77 2.31
time (sec) N/A 0.023 0.005 0.021 0.982 2.208 1.121 1.184


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 91 91 83 1245 0 0 0 0
normalized size 1 1. 0.91 13.68 0. 0. 0. 0.
time (sec) N/A 0.221 0.073 0.349 0. 0. 0. 0.


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 90 90 93 826 0 0 0 0
normalized size 1 1. 1.03 9.18 0. 0. 0. 0.
time (sec) N/A 0.273 0.194 0.343 0. 0. 0. 0.


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 200 200 165 406 0 0 0 0
normalized size 1 1. 0.82 2.03 0. 0. 0. 0.
time (sec) N/A 0.496 0.444 1.251 0. 0. 0. 0.


















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 12 0 63 14 34
normalized size 1 1. 1. 0.8 0. 4.2 0.93 2.27
time (sec) N/A 0.025 0.008 0.036 0. 2.43 1.766 1.153


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 1.313 0.132 0. 0. 0. 0.


















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 10 28 46 7 28
normalized size 1 1. 1. 1.11 3.11 5.11 0.78 3.11
time (sec) N/A 0.028 0.029 0.023 0.955 2.268 0.892 1.173


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.064 0.227 0.117 0. 0. 0. 0.


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.047 0.128 0.117 0. 0. 0. 0.


















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 12 31 46 8 30
normalized size 1 1. 1. 1.09 2.82 4.18 0.73 2.73
time (sec) N/A 0.025 0.005 0.023 0.97 2.109 1.211 1.14


















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 32 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.078 0.141 0.118 0. 0. 0. 0.


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 30 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 0.562 0.115 0. 0. 0. 0.


















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 57 49 12 30
normalized size 1 1. 1. 0.92 4.38 3.77 0.92 2.31
time (sec) N/A 0.026 0.005 0.024 0.974 2.244 1.5 1.192


















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.078 0.721 0.127 0. 0. 0. 0.


















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 17 18 0 212 26 41
normalized size 1 1. 1. 1.06 0. 12.47 1.53 2.41
time (sec) N/A 0.031 0.011 0.024 0. 2.151 2.971 1.194


















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 109 109 64 203 239 0 0 0
normalized size 1 1. 0.59 1.86 2.19 0. 0. 0.
time (sec) N/A 0.16 0.159 0.057 0.969 0. 0. 0.


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 45 169 170 142 0 0
normalized size 1 1. 0.79 2.96 2.98 2.49 0. 0.
time (sec) N/A 0.063 0.096 0.053 0.965 2.002 0. 0.


















Problem 261 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 55 55 66 68 84 96 61 99
normalized size 1 1. 1.2 1.24 1.53 1.75 1.11 1.8
time (sec) N/A 0.038 0.054 0.034 0.948 1.927 1.916 1.114


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 44 169 165 139 0 0
normalized size 1 1. 0.81 3.13 3.06 2.57 0. 0.
time (sec) N/A 0.022 0.072 0.052 0.96 1.859 0. 0.


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 91 91 63 190 278 0 0 0
normalized size 1 1. 0.69 2.09 3.05 0. 0. 0.
time (sec) N/A 0.164 0.168 0.064 0.982 0. 0. 0.


















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 77 180 203 252 253 0
normalized size 1 1. 0.94 2.2 2.48 3.07 3.09 0.
time (sec) N/A 0.145 0.141 0.062 0.983 2.129 4.477 0.


















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 123 123 83 265 315 0 0 0
normalized size 1 1. 0.67 2.15 2.56 0. 0. 0.
time (sec) N/A 0.358 0.43 0.066 0.99 0. 0. 0.


















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 161 161 103 907 0 0 0 0
normalized size 1 1. 0.64 5.63 0. 0. 0. 0.
time (sec) N/A 0.291 0.178 0.348 0. 0. 0. 0.


















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 93 1722 369 211 0 0
normalized size 1 1. 0.99 18.32 3.93 2.24 0. 0.
time (sec) N/A 0.103 0.13 0.406 0.98 1.922 0. 0.


















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 43 191 197 140 0 0
normalized size 1 1. 0.52 2.33 2.4 1.71 0. 0.
time (sec) N/A 0.068 0.051 0.055 0.966 2.097 0. 0.


















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 93 1695 362 208 0 0
normalized size 1 1. 1.06 19.26 4.11 2.36 0. 0.
time (sec) N/A 0.064 0.111 0.413 0.986 2.052 0. 0.


















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 136 136 106 1290 0 0 0 0
normalized size 1 1. 0.78 9.49 0. 0. 0. 0.
time (sec) N/A 0.292 0.184 0.431 0. 0. 0. 0.


















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 142 142 97 4589 548 0 0 0
normalized size 1 1. 0.68 32.32 3.86 0. 0. 0.
time (sec) N/A 0.315 0.348 0.55 1.015 0. 0. 0.


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 205 205 146 3040 0 0 0 0
normalized size 1 1. 0.71 14.83 0. 0. 0. 0.
time (sec) N/A 0.696 1.024 1.34 0. 0. 0. 0.


















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 227 227 139 1015 0 0 0 0
normalized size 1 1. 0.61 4.47 0. 0. 0. 0.
time (sec) N/A 0.403 0.181 0.348 0. 0. 0. 0.


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 72 1771 628 258 0 0
normalized size 1 1. 0.6 14.64 5.19 2.13 0. 0.
time (sec) N/A 0.134 0.081 0.442 1.038 1.916 0. 0.


















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 91 1708 402 209 0 0
normalized size 1 1. 0.76 14.35 3.38 1.76 0. 0.
time (sec) N/A 0.112 0.058 0.407 1.003 1.946 0. 0.


















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 71 1742 620 255 0 0
normalized size 1 1. 0.62 15.15 5.39 2.22 0. 0.
time (sec) N/A 0.096 0.058 0.408 1.033 1.924 0. 0.


















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 193 193 135 1387 0 0 0 0
normalized size 1 1. 0.7 7.19 0. 0. 0. 0.
time (sec) N/A 0.388 0.185 0.501 0. 0. 0. 0.


















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 191 191 144 442 0 0 0 0
normalized size 1 1. 0.75 2.31 0. 0. 0. 0.
time (sec) N/A 0.435 0.341 0.871 0. 0. 0. 0.


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 302 302 215 672 0 0 0 0
normalized size 1 1. 0.71 2.23 0. 0. 0. 0.
time (sec) N/A 0.955 0.75 1.29 0. 0. 0. 0.


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 87 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.144 0.224 0.356 0. 0. 0. 0.


















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 39 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.064 4.573 0.191 0. 0. 0. 0.


















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 42 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.063 1.598 0.237 0. 0. 0. 0.


















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 24 0 161 0 0
normalized size 1 1. 1. 0.89 0. 5.96 0. 0.
time (sec) N/A 0.103 0.113 0.064 0. 2.012 0. 0.


















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 13 0 112 0 0
normalized size 1 1. 1. 0.93 0. 8. 0. 0.
time (sec) N/A 0.07 0.064 0.058 0. 1.97 0. 0.


















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 20 24 0 157 0 0
normalized size 1 1. 0.74 0.89 0. 5.81 0. 0.
time (sec) N/A 0.066 0.09 0.057 0. 2.028 0. 0.


















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 36 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.075 0.998 0.155 0. 0. 0. 0.


















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 60 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.316 3.339 0.209 0. 0. 0. 0.


















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 36 36 0 258 0 0
normalized size 1 1. 0.95 0.95 0. 6.79 0. 0.
time (sec) N/A 0.133 0.14 0.063 0. 2.14 0. 0.


















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 32 28 0 252 0 0
normalized size 1 1. 0.89 0.78 0. 7. 0. 0.
time (sec) N/A 0.207 0.072 0.063 0. 2.01 0. 0.


















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 30 36 0 244 0 0
normalized size 1 1. 0.86 1.03 0. 6.97 0. 0.
time (sec) N/A 0.095 0.091 0.066 0. 1.99 0. 0.


















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 61 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.342 3.963 0.162 0. 0. 0. 0.


















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 101 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.225 10.891 0.227 0. 0. 0. 0.


















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 47 51 0 309 0 0
normalized size 1 1. 0.73 0.8 0. 4.83 0. 0.
time (sec) N/A 0.272 0.113 0.063 0. 2.081 0. 0.


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 66 43 0 317 0 0
normalized size 1 1. 0.92 0.6 0. 4.4 0. 0.
time (sec) N/A 0.112 0.061 0.06 0. 1.955 0. 0.


















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 58 51 0 296 0 0
normalized size 1 1. 1. 0.88 0. 5.1 0. 0.
time (sec) N/A 0.234 0.073 0.064 0. 1.966 0. 0.


















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 98 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.247 3.424 0.169 0. 0. 0. 0.


















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 73 68 0 358 0 0
normalized size 1 1. 0.75 0.7 0. 3.69 0. 0.
time (sec) N/A 0.143 0.133 0.064 0. 1.97 0. 0.


















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 84 83 0 408 0 0
normalized size 1 1. 0.7 0.69 0. 3.4 0. 0.
time (sec) N/A 0.29 0.092 0.065 0. 2.077 0. 0.


















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 101 98 0 473 0 0
normalized size 1 1. 0.66 0.64 0. 3.07 0. 0.
time (sec) N/A 0.196 0.124 0.067 0. 2.013 0. 0.


















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 112 113 0 524 0 0
normalized size 1 1. 0.63 0.64 0. 2.96 0. 0.
time (sec) N/A 0.344 0.095 0.063 0. 2.078 0. 0.


















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 128 128 0 591 0 0
normalized size 1 1. 0.61 0.61 0. 2.8 0. 0.
time (sec) N/A 0.256 0.125 0.066 0. 2.304 0. 0.


















Problem 302 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 77 77 98 136 134 151 158 127
normalized size 1 1. 1.27 1.77 1.74 1.96 2.05 1.65
time (sec) N/A 0.063 0.083 0.043 0.961 2.023 4.001 1.231


















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 61 225 242 201 0 0
normalized size 1 1. 0.61 2.25 2.42 2.01 0. 0.
time (sec) N/A 0.072 0.084 0.057 0.985 1.939 0. 0.


















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 88 92 111 150 158 113
normalized size 1 1. 1.17 1.23 1.48 2. 2.11 1.51
time (sec) N/A 0.047 0.057 0.035 0.969 1.993 4.028 1.188


















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 65 225 246 213 0 0
normalized size 1 1. 0.69 2.39 2.62 2.27 0. 0.
time (sec) N/A 0.045 0.063 0.061 0.98 2.03 0. 0.


















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 129 129 81 234 362 0 0 0
normalized size 1 1. 0.63 1.81 2.81 0. 0. 0.
time (sec) N/A 0.25 0.2 0.063 0.999 0. 0. 0.


















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 94 228 275 358 578 0
normalized size 1 1. 0.76 1.85 2.24 2.91 4.7 0.
time (sec) N/A 0.235 0.162 0.06 0.997 2.067 8.623 0.


















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 71 297 305 217 0 0
normalized size 1 1. 0.56 2.34 2.4 1.71 0. 0.
time (sec) N/A 0.184 0.093 0.07 0.986 1.932 0. 0.


















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 121 2571 524 294 0 0
normalized size 1 1. 0.74 15.77 3.21 1.8 0. 0.
time (sec) N/A 0.25 0.116 0.441 1.004 2.054 0. 0.


















Problem 310 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 125 125 71 247 278 219 0 0
normalized size 1 1. 0.57 1.98 2.22 1.75 0. 0.
time (sec) N/A 0.094 0.07 0.058 0.983 2.075 0. 0.


















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 151 151 127 2571 529 302 0 0
normalized size 1 1. 0.84 17.03 3.5 2. 0. 0.
time (sec) N/A 0.11 0.107 0.443 1.023 1.905 0. 0.


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 196 196 129 1392 0 0 0 0
normalized size 1 1. 0.66 7.1 0. 0. 0. 0.
time (sec) N/A 0.449 0.397 0.506 0. 0. 0. 0.


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 209 209 127 4797 721 0 0 0
normalized size 1 1. 0.61 22.95 3.45 0. 0. 0.
time (sec) N/A 0.492 0.567 0.602 1.038 0. 0. 0.


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 135 2634 590 313 0 0
normalized size 1 1. 0.7 13.72 3.07 1.63 0. 0.
time (sec) N/A 0.268 0.128 0.457 1.031 2.175 0. 0.


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 107 2646 887 348 0 0
normalized size 1 1. 0.5 12.31 4.13 1.62 0. 0.
time (sec) N/A 0.359 0.123 0.432 1.06 2.037 0. 0.


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 148 2582 570 312 0 0
normalized size 1 1. 0.79 13.73 3.03 1.66 0. 0.
time (sec) N/A 0.164 0.086 0.348 1.014 2.06 0. 0.


















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 111 2646 895 375 0 0
normalized size 1 1. 0.55 13.03 4.41 1.85 0. 0.
time (sec) N/A 0.177 0.154 0.452 1.066 2.127 0. 0.


















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 277 277 189 1533 0 0 0 0
normalized size 1 1. 0.68 5.53 0. 0. 0. 0.
time (sec) N/A 0.626 0.283 0.477 0. 0. 0. 0.


















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 281 281 218 842 0 0 0 0
normalized size 1 1. 0.78 3. 0. 0. 0. 0.
time (sec) N/A 0.69 0.691 0.714 0. 0. 0. 0.


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 168 168 152 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.195 0.485 0.469 0. 0. 0. 0.


















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.069 7.708 0.196 0. 0. 0. 0.


















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.069 14.659 0.189 0. 0. 0. 0.


















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 31 36 0 328 0 0
normalized size 1 1. 0.76 0.88 0. 8. 0. 0.
time (sec) N/A 0.122 0.12 0.059 0. 2.296 0. 0.


















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 24 24 0 281 0 0
normalized size 1 1. 0.83 0.83 0. 9.69 0. 0.
time (sec) N/A 0.118 0.111 0.062 0. 2.273 0. 0.


















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 22 24 0 224 0 0
normalized size 1 1. 0.81 0.89 0. 8.3 0. 0.
time (sec) N/A 0.113 0.097 0.066 0. 2.349 0. 0.


















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 24 24 0 281 0 0
normalized size 1 1. 0.83 0.83 0. 9.69 0. 0.
time (sec) N/A 0.094 0.107 0.06 0. 2.562 0. 0.


















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 33 36 0 325 0 0
normalized size 1 1. 0.8 0.88 0. 7.93 0. 0.
time (sec) N/A 0.083 0.069 0.066 0. 2.271 0. 0.


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 48 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.064 1.232 0.185 0. 0. 0. 0.


















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 101 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.905 11.958 0.199 0. 0. 0. 0.


















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 49 62 0 545 0 0
normalized size 1 1. 0.92 1.17 0. 10.28 0. 0.
time (sec) N/A 0.186 0.186 0.069 0. 2.323 0. 0.


















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 76 80 54 0 540 0 0
normalized size 1 1.38 1.45 0.98 0. 9.82 0. 0.
time (sec) N/A 0.521 0.114 0.06 0. 2.359 0. 0.


















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 60 56 38 0 370 0 0
normalized size 1 1.46 1.37 0.93 0. 9.02 0. 0.
time (sec) N/A 0.287 0.202 0.067 0. 2.332 0. 0.


















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 75 54 0 535 0 0
normalized size 1 1. 1.42 1.02 0. 10.09 0. 0.
time (sec) N/A 0.245 0.099 0.062 0. 2.37 0. 0.


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 43 60 0 531 0 0
normalized size 1 1. 0.88 1.22 0. 10.84 0. 0.
time (sec) N/A 0.121 0.132 0.061 0. 2.018 0. 0.


















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 98 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.65 4.268 0.249 0. 0. 0. 0.


















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 60 90 0 597 0 0
normalized size 1 1. 0.6 0.9 0. 5.97 0. 0.
time (sec) N/A 0.594 0.21 0.07 0. 2.028 0. 0.


















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 160 66 82 0 621 0 0
normalized size 1 1.5 0.62 0.77 0. 5.8 0. 0.
time (sec) N/A 0.655 0.26 0.072 0. 1.994 0. 0.


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 109 56 51 0 437 0 0
normalized size 1 1.27 0.65 0.59 0. 5.08 0. 0.
time (sec) N/A 0.586 0.155 0.067 0. 1.983 0. 0.


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 96 82 0 606 0 0
normalized size 1 1. 0.96 0.82 0. 6.06 0. 0.
time (sec) N/A 0.464 0.19 0.062 0. 1.999 0. 0.


















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 86 88 0 578 0 0
normalized size 1 1. 1.25 1.28 0. 8.38 0. 0.
time (sec) N/A 0.27 0.178 0.064 0. 2.014 0. 0.


















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 175 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.767 5.386 0.221 0. 0. 0. 0.


















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 108 122 0 647 0 0
normalized size 1 1. 0.86 0.98 0. 5.18 0. 0.
time (sec) N/A 0.5 0.247 0.073 0. 2.059 0. 0.


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 132 152 0 720 0 0
normalized size 1 1. 0.78 0.89 0. 4.24 0. 0.
time (sec) N/A 0.963 0.164 0.071 0. 2.038 0. 0.


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 257 257 166 182 0 803 0 0
normalized size 1 1. 0.65 0.71 0. 3.12 0. 0.
time (sec) N/A 1.349 0.3 0.07 0. 1.999 0. 0.


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 81 281 324 293 0 0
normalized size 1 1. 0.6 2.1 2.42 2.19 0. 0.
time (sec) N/A 0.074 0.182 0.059 1.003 1.949 0. 0.


















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 214 214 157 3447 697 412 0 0
normalized size 1 1. 0.73 16.11 3.26 1.93 0. 0.
time (sec) N/A 0.169 0.289 0.512 1.035 2.036 0. 0.


















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 291 291 143 3550 1176 506 0 0
normalized size 1 1. 0.49 12.2 4.04 1.74 0. 0.
time (sec) N/A 0.327 0.153 0.523 1.113 2.061 0. 0.


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 252 252 257 0 0 0 0 0
normalized size 1 1. 1.02 0. 0. 0. 0. 0.
time (sec) N/A 0.301 0.764 0.497 0. 0. 0. 0.


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.068 8.307 0.237 0. 0. 0. 0.


















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.067 38.73 0.182 0. 0. 0. 0.


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 40 48 0 568 0 0
normalized size 1 1. 0.73 0.87 0. 10.33 0. 0.
time (sec) N/A 0.145 0.156 0.072 0. 2.038 0. 0.


















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 33 33 0 516 0 0
normalized size 1 1. 0.77 0.77 0. 12. 0. 0.
time (sec) N/A 0.144 0.162 0.061 0. 2.03 0. 0.


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 40 48 0 558 0 0
normalized size 1 1. 0.73 0.87 0. 10.15 0. 0.
time (sec) N/A 0.155 0.135 0.076 0. 1.957 0. 0.


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 24 24 0 348 0 0
normalized size 1 1. 0.83 0.83 0. 12. 0. 0.
time (sec) N/A 0.125 0.141 0.066 0. 1.95 0. 0.


















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 55 48 0 559 0 0
normalized size 1 1. 1. 0.87 0. 10.16 0. 0.
time (sec) N/A 0.142 0.159 0.076 0. 1.968 0. 0.


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 43 33 0 516 0 0
normalized size 1 1. 1. 0.77 0. 12. 0. 0.
time (sec) N/A 0.112 0.198 0.063 0. 1.91 0. 0.


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 40 48 0 564 0 0
normalized size 1 1. 0.73 0.87 0. 10.25 0. 0.
time (sec) N/A 0.103 0.16 0.073 0. 2.022 0. 0.


















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.062 1.442 0.202 0. 0. 0. 0.


















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.07 2.891 0.224 0. 0. 0. 0.


















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 56 78 0 965 0 0
normalized size 1 1. 0.84 1.16 0. 14.4 0. 0.
time (sec) N/A 0.307 0.185 0.069 0. 2.02 0. 0.


















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 56 86 0 954 0 0
normalized size 1 1. 0.85 1.3 0. 14.45 0. 0.
time (sec) N/A 0.143 0.281 0.068 0. 1.991 0. 0.


















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 73 121 0 1037 0 0
normalized size 1 1. 0.64 1.06 0. 9.1 0. 0.
time (sec) N/A 0.585 0.358 0.076 0. 1.84 0. 0.


















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 83 131 0 1014 0 0
normalized size 1 1. 0.93 1.47 0. 11.39 0. 0.
time (sec) N/A 0.386 0.187 0.075 0. 1.939 0. 0.


















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 79 120 269 212 0 161
normalized size 1 1. 0.57 0.86 1.94 1.53 0. 1.16
time (sec) N/A 0.235 0.099 0.282 1.458 2.082 0. 1.259


















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 197 197 160 175 0 0 0 0
normalized size 1 1. 0.81 0.89 0. 0. 0. 0.
time (sec) N/A 0.217 0.504 0.262 0. 0. 0. 0.


















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 60 99 151 166 0 109
normalized size 1 1. 0.69 1.14 1.74 1.91 0. 1.25
time (sec) N/A 0.124 0.069 0.236 1.448 2.186 0. 1.229


















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 146 146 125 154 0 0 0 0
normalized size 1 1. 0.86 1.05 0. 0. 0. 0.
time (sec) N/A 0.105 0.219 0.26 0. 0. 0. 0.


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 29 81 57 135 0 63
normalized size 1 1. 0.91 2.53 1.78 4.22 0. 1.97
time (sec) N/A 0.047 0.031 0.222 1.444 2.075 0. 1.214


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 95 95 76 366 0 0 0 0
normalized size 1 1. 0.8 3.85 0. 0. 0. 0.
time (sec) N/A 0.026 0.073 0.247 0. 0. 0. 0.


















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 75 75 57 99 0 0 0 0
normalized size 1 1. 0.76 1.32 0. 0. 0. 0.
time (sec) N/A 0.065 0.092 0.235 0. 0. 0. 0.


















Problem 371 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 42 42 48 72 69 127 0 150
normalized size 1 1. 1.14 1.71 1.64 3.02 0. 3.57
time (sec) N/A 0.076 0.051 0.231 1.44 2.099 0. 1.27


















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 137 137 126 141 0 0 0 0
normalized size 1 1. 0.92 1.03 0. 0. 0. 0.
time (sec) N/A 0.136 0.69 0.254 0. 0. 0. 0.


















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 205 205 160 175 0 0 0 0
normalized size 1 1. 0.78 0.85 0. 0. 0. 0.
time (sec) N/A 0.314 0.392 0.258 0. 0. 0. 0.


















Problem 374 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 161 161 188 0 0 0 0 0
normalized size 1 1. 1.17 0. 0. 0. 0. 0.
time (sec) N/A 0.255 0.763 0.233 0. 0. 0. 0.


















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 120 120 104 151 0 0 0 0
normalized size 1 1. 0.87 1.26 0. 0. 0. 0.
time (sec) N/A 0.099 0.215 0.237 0. 0. 0. 0.


















Problem 376 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 103 103 119 0 0 0 0 0
normalized size 1 1. 1.16 0. 0. 0. 0. 0.
time (sec) N/A 0.098 0.099 0.359 0. 0. 0. 0.


















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 68 68 100 158 0 0 0 0
normalized size 1 1. 1.47 2.32 0. 0. 0. 0.
time (sec) N/A 0.141 0.084 0.251 0. 0. 0. 0.


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 105 105 89 131 0 0 0 0
normalized size 1 1. 0.85 1.25 0. 0. 0. 0.
time (sec) N/A 0.167 0.49 0.245 0. 0. 0. 0.


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 152 152 188 231 0 0 0 0
normalized size 1 1. 1.24 1.52 0. 0. 0. 0.
time (sec) N/A 0.415 1.197 0.283 0. 0. 0. 0.


















Problem 380 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 219 219 215 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.57 0.887 0.3 0. 0. 0. 0.


















Problem 381 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 305 305 570 0 0 0 0 0
normalized size 1 1. 1.87 0. 0. 0. 0. 0.
time (sec) N/A 0.34 4.467 0.285 0. 0. 0. 0.


















Problem 382 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 128 128 157 0 0 0 0 0
normalized size 1 1. 1.23 0. 0. 0. 0. 0.
time (sec) N/A 0.177 0.18 0.267 0. 0. 0. 0.


















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 153 153 451 0 0 0 0 0
normalized size 1 1. 2.95 0. 0. 0. 0. 0.
time (sec) N/A 0.133 0.45 0.377 0. 0. 0. 0.


















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 102 102 146 215 0 0 0 0
normalized size 1 1. 1.43 2.11 0. 0. 0. 0.
time (sec) N/A 0.173 0.134 0.275 0. 0. 0. 0.


















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 98 98 131 190 0 0 0 0
normalized size 1 1. 1.34 1.94 0. 0. 0. 0.
time (sec) N/A 0.249 0.372 0.279 0. 0. 0. 0.


















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 267 267 416 386 0 0 0 0
normalized size 1 1. 1.56 1.45 0. 0. 0. 0.
time (sec) N/A 0.447 8.749 0.321 0. 0. 0. 0.


















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 0.425 0.826 0. 0. 0. 0.


















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 76 144 146 201 0 120
normalized size 1 1. 1.03 1.95 1.97 2.72 0. 1.62
time (sec) N/A 0.17 0.063 0.249 1.453 2.022 0. 1.229


















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 137 137 121 190 0 0 0 0
normalized size 1 1. 0.88 1.39 0. 0. 0. 0.
time (sec) N/A 0.105 0.226 0.346 0. 0. 0. 0.


















Problem 390 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 43 43 27 66 53 103 0 82
normalized size 1 1. 0.63 1.53 1.23 2.4 0. 1.91
time (sec) N/A 0.051 0.036 0.205 0.955 2.005 0. 1.239


















Problem 391 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 40 40 27 38 49 101 0 80
normalized size 1 1. 0.68 0.95 1.22 2.52 0. 2.
time (sec) N/A 0.025 0.031 0.22 0.957 1.981 0. 1.229


















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 112 112 97 157 0 0 0 0
normalized size 1 1. 0.87 1.4 0. 0. 0. 0.
time (sec) N/A 0.186 0.179 0.253 0. 0. 0. 0.


















Problem 393 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 82 82 89 132 113 223 0 209
normalized size 1 1. 1.09 1.61 1.38 2.72 0. 2.55
time (sec) N/A 0.171 0.11 0.253 0.957 2.065 0. 1.261


















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 179 179 182 205 0 0 0 0
normalized size 1 1. 1.02 1.15 0. 0. 0. 0.
time (sec) N/A 0.402 1.527 0.289 0. 0. 0. 0.


















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.49 0.759 0. 0. 0. 0.


















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 186 186 165 230 0 0 0 0
normalized size 1 1. 0.89 1.24 0. 0. 0. 0.
time (sec) N/A 0.31 0.372 0.273 0. 0. 0. 0.


















Problem 397 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 171 171 193 0 0 0 0 0
normalized size 1 1. 1.13 0. 0. 0. 0. 0.
time (sec) N/A 0.252 0.312 0.242 0. 0. 0. 0.


















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 34 82 84 146 0 0
normalized size 1 1. 0.5 1.21 1.24 2.15 0. 0.
time (sec) N/A 0.098 0.055 0.211 0.953 2.002 0. 0.


















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 38 49 77 150 0 0
normalized size 1 1. 0.6 0.78 1.22 2.38 0. 0.
time (sec) N/A 0.04 0.041 0.225 0.956 2.285 0. 0.


















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 127 127 159 232 0 0 0 0
normalized size 1 1. 1.25 1.83 0. 0. 0. 0.
time (sec) N/A 0.341 0.241 0.27 0. 0. 0. 0.


















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 171 171 215 207 0 0 0 0
normalized size 1 1. 1.26 1.21 0. 0. 0. 0.
time (sec) N/A 0.313 1.078 0.27 0. 0. 0. 0.


















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 221 221 266 313 0 0 0 0
normalized size 1 1. 1.2 1.42 0. 0. 0. 0.
time (sec) N/A 0.776 2.703 0.299 0. 0. 0. 0.


















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.1 0.476 0.747 0. 0. 0. 0.


















Problem 404 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 220 220 249 0 0 0 0 0
normalized size 1 1. 1.13 0. 0. 0. 0. 0.
time (sec) N/A 0.405 0.42 0.291 0. 0. 0. 0.


















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 246 246 541 0 0 0 0 0
normalized size 1 1. 2.2 0. 0. 0. 0. 0.
time (sec) N/A 0.317 0.936 0.276 0. 0. 0. 0.


















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 45 98 119 197 0 0
normalized size 1 1. 0.48 1.04 1.27 2.1 0. 0.
time (sec) N/A 0.125 0.062 0.212 0.96 2.283 0. 0.


















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 45 56 116 196 0 0
normalized size 1 1. 0.51 0.64 1.32 2.23 0. 0.
time (sec) N/A 0.071 0.05 0.224 0.968 2.248 0. 0.


















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 185 185 230 305 0 0 0 0
normalized size 1 1. 1.24 1.65 0. 0. 0. 0.
time (sec) N/A 0.409 0.339 0.287 0. 0. 0. 0.


















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 187 187 270 282 0 0 0 0
normalized size 1 1. 1.44 1.51 0. 0. 0. 0.
time (sec) N/A 0.425 1.89 0.292 0. 0. 0. 0.


















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 360 360 555 482 0 0 0 0
normalized size 1 1. 1.54 1.34 0. 0. 0. 0.
time (sec) N/A 0.982 7.73 0.346 0. 0. 0. 0.


















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.124 0.411 0.74 0. 0. 0. 0.


















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.132 3.537 0.27 0. 0. 0. 0.


















Problem 413 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 9 9 9 26 0 0 0 0
normalized size 1 1. 1. 2.89 0. 0. 0. 0.
time (sec) N/A 0.104 0.069 0.21 0. 0. 0. 0.


















Problem 414 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 9 9 9 10 0 0 0 0
normalized size 1 1. 1. 1.11 0. 0. 0. 0.
time (sec) N/A 0.062 0.08 0.219 0. 0. 0. 0.


















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.118 1.037 0.286 0. 0. 0. 0.


















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.109 0.444 0.738 0. 0. 0. 0.


















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 63 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.266 3.062 0.289 0. 0. 0. 0.


















Problem 418 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 36 36 34 90 0 0 0 0
normalized size 1 1. 0.94 2.5 0. 0. 0. 0.
time (sec) N/A 0.122 0.032 0.227 0. 0. 0. 0.


















Problem 419 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 35 35 32 62 0 0 0 0
normalized size 1 1. 0.91 1.77 0. 0. 0. 0.
time (sec) N/A 0.126 0.084 0.22 0. 0. 0. 0.


















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 89 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.417 5.899 0.287 0. 0. 0. 0.


















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.107 0.49 0.746 0. 0. 0. 0.


















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 96 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.304 6.189 0.273 0. 0. 0. 0.


















Problem 423 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 68 68 43 154 0 0 0 0
normalized size 1 1. 0.63 2.26 0. 0. 0. 0.
time (sec) N/A 0.196 0.123 0.248 0. 0. 0. 0.


















Problem 424 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 65 65 44 86 0 0 0 0
normalized size 1 1. 0.68 1.32 0. 0. 0. 0.
time (sec) N/A 0.163 0.09 0.228 0. 0. 0. 0.


















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 123 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.485 18.073 0.311 0. 0. 0. 0.


















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 243 243 178 195 0 0 0 0
normalized size 1 1. 0.73 0.8 0. 0. 0. 0.
time (sec) N/A 0.308 0.669 0.282 0. 0. 0. 0.


















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 79 120 201 205 0 139
normalized size 1 1. 0.58 0.88 1.48 1.51 0. 1.02
time (sec) N/A 0.203 0.065 0.259 1.475 2.242 0. 1.187


















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 194 194 160 175 0 0 0 0
normalized size 1 1. 0.82 0.9 0. 0. 0. 0.
time (sec) N/A 0.193 0.437 0.26 0. 0. 0. 0.


















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 49 99 80 163 0 86
normalized size 1 1. 0.83 1.68 1.36 2.76 0. 1.46
time (sec) N/A 0.049 0.042 0.233 1.439 2.067 0. 1.213


















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 143 143 117 152 0 0 0 0
normalized size 1 1. 0.82 1.06 0. 0. 0. 0.
time (sec) N/A 0.055 0.247 0.231 0. 0. 0. 0.


















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 100 100 91 113 0 0 0 0
normalized size 1 1. 0.91 1.13 0. 0. 0. 0.
time (sec) N/A 0.126 0.115 0.269 0. 0. 0. 0.


















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 130 130 121 188 0 0 0 0
normalized size 1 1. 0.93 1.45 0. 0. 0. 0.
time (sec) N/A 0.163 0.346 0.289 0. 0. 0. 0.


















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 136 136 126 141 0 0 0 0
normalized size 1 1. 0.93 1.04 0. 0. 0. 0.
time (sec) N/A 0.198 0.662 0.256 0. 0. 0. 0.


















Problem 434 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 70 70 79 96 122 163 0 263
normalized size 1 1. 1.13 1.37 1.74 2.33 0. 3.76
time (sec) N/A 0.082 0.072 0.236 1.439 2.042 0. 1.273


















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 191 191 222 164 0 0 0 0
normalized size 1 1. 1.16 0.86 0. 0. 0. 0.
time (sec) N/A 0.3 1.621 0.313 0. 0. 0. 0.


















Problem 436 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 150 150 104 116 275 208 0 377
normalized size 1 1. 0.69 0.77 1.83 1.39 0. 2.51
time (sec) N/A 0.373 0.122 0.276 1.454 1.98 0. 2.255


















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 243 243 307 183 0 0 0 0
normalized size 1 1. 1.26 0.75 0. 0. 0. 0.
time (sec) N/A 0.413 3.379 0.286 0. 0. 0. 0.


















Problem 438 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 336 336 268 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 1.403 1.564 0.322 0. 0. 0. 0.


















Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 281 281 175 211 0 0 0 0
normalized size 1 1. 0.62 0.75 0. 0. 0. 0.
time (sec) N/A 1.073 0.641 0.273 0. 0. 0. 0.


















Problem 440 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 254 254 228 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.853 1.106 0.303 0. 0. 0. 0.


















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 175 175 135 175 0 0 0 0
normalized size 1 1. 0.77 1. 0. 0. 0. 0.
time (sec) N/A 0.125 0.393 0.252 0. 0. 0. 0.


















Problem 442 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 158 158 187 0 0 0 0 0
normalized size 1 1. 1.18 0. 0. 0. 0. 0.
time (sec) N/A 0.146 0.714 0.206 0. 0. 0. 0.


















Problem 443 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 174 174 203 0 0 0 0 0
normalized size 1 1. 1.17 0. 0. 0. 0. 0.
time (sec) N/A 0.393 0.279 0.262 0. 0. 0. 0.


















Problem 444 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 197 197 223 0 0 0 0 0
normalized size 1 1. 1.13 0. 0. 0. 0. 0.
time (sec) N/A 0.383 0.726 0.273 0. 0. 0. 0.


















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 151 151 188 231 0 0 0 0
normalized size 1 1. 1.25 1.53 0. 0. 0. 0.
time (sec) N/A 0.544 1.217 0.289 0. 0. 0. 0.


















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 169 169 177 171 0 0 0 0
normalized size 1 1. 1.05 1.01 0. 0. 0. 0.
time (sec) N/A 0.297 2.09 0.264 0. 0. 0. 0.


















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 292 292 272 215 0 0 0 0
normalized size 1 1. 0.93 0.74 0. 0. 0. 0.
time (sec) N/A 0.818 1.331 0.213 0. 0. 0. 0.


















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 79 140 248 247 0 255
normalized size 1 1. 0.42 0.75 1.33 1.33 0. 1.37
time (sec) N/A 0.571 0.084 0.18 1.465 1.426 0. 1.273


















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 243 243 224 195 0 0 0 0
normalized size 1 1. 0.92 0.8 0. 0. 0. 0.
time (sec) N/A 0.572 0.907 0.195 0. 0. 0. 0.


















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 61 120 103 204 0 116
normalized size 1 1. 0.75 1.48 1.27 2.52 0. 1.43
time (sec) N/A 0.058 0.065 0.195 1.435 1.446 0. 1.181


















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 189 189 176 173 0 0 0 0
normalized size 1 1. 0.93 0.92 0. 0. 0. 0.
time (sec) N/A 0.086 0.584 0.253 0. 0. 0. 0.


















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 144 144 143 132 0 0 0 0
normalized size 1 1. 0.99 0.92 0. 0. 0. 0.
time (sec) N/A 0.232 0.211 0.2 0. 0. 0. 0.


















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 179 179 168 205 0 0 0 0
normalized size 1 1. 0.94 1.15 0. 0. 0. 0.
time (sec) N/A 0.284 0.578 0.221 0. 0. 0. 0.


















Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 168 168 158 145 0 0 0 0
normalized size 1 1. 0.94 0.86 0. 0. 0. 0.
time (sec) N/A 0.387 0.943 0.204 0. 0. 0. 0.


















Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 189 189 199 220 0 0 0 0
normalized size 1 1. 1.05 1.16 0. 0. 0. 0.
time (sec) N/A 0.312 1.187 0.223 0. 0. 0. 0.


















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 191 191 282 164 0 0 0 0
normalized size 1 1. 1.48 0.86 0. 0. 0. 0.
time (sec) N/A 0.566 3.602 0.184 0. 0. 0. 0.


















Problem 457 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 94 94 104 116 170 204 0 374
normalized size 1 1. 1.11 1.23 1.81 2.17 0. 3.98
time (sec) N/A 0.101 0.082 0.169 1.451 1.328 0. 1.823


















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 243 243 474 184 0 0 0 0
normalized size 1 1. 1.95 0.76 0. 0. 0. 0.
time (sec) N/A 0.773 6.802 0.203 0. 0. 0. 0.


















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 233 233 224 193 0 0 0 0
normalized size 1 1. 0.96 0.83 0. 0. 0. 0.
time (sec) N/A 0.121 1.098 0.281 0. 0. 0. 0.


















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 189 189 176 173 0 0 0 0
normalized size 1 1. 0.93 0.92 0. 0. 0. 0.
time (sec) N/A 0.089 0.06 0.251 0. 0. 0. 0.


















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 143 143 117 152 0 0 0 0
normalized size 1 1. 0.82 1.06 0. 0. 0. 0.
time (sec) N/A 0.054 0.067 0.21 0. 0. 0. 0.


















Problem 462 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 89 89 49 59 100 161 0 122
normalized size 1 1. 0.55 0.66 1.12 1.81 0. 1.37
time (sec) N/A 0.051 0.051 0.208 0.962 1.452 0. 1.33


















Problem 463 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 133 133 65 79 146 220 0 154
normalized size 1 1. 0.49 0.59 1.1 1.65 0. 1.16
time (sec) N/A 0.081 0.062 0.172 0.977 1.549 0. 1.272


















Problem 464 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 177 177 81 99 189 285 0 186
normalized size 1 1. 0.46 0.56 1.07 1.61 0. 1.05
time (sec) N/A 0.113 0.076 0.174 0.987 1.756 0. 1.291


















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 291 291 206 345 0 0 0 0
normalized size 1 1. 0.71 1.19 0. 0. 0. 0.
time (sec) N/A 0.15 0.654 0.319 0. 0. 0. 0.


















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 235 235 119 319 0 0 0 0
normalized size 1 1. 0.51 1.36 0. 0. 0. 0.
time (sec) N/A 0.102 0.283 0.414 0. 0. 0. 0.


















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 182 182 109 290 0 0 0 0
normalized size 1 1. 0.6 1.59 0. 0. 0. 0.
time (sec) N/A 0.062 0.119 0.362 0. 0. 0. 0.


















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 43 74 0 115 0 95
normalized size 1 1. 0.9 1.54 0. 2.4 0. 1.98
time (sec) N/A 0.029 0.055 0.25 0. 1.668 0. 1.271


















Problem 469 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 105 105 64 160 122 180 0 150
normalized size 1 1. 0.61 1.52 1.16 1.71 0. 1.43
time (sec) N/A 0.066 0.069 0.256 0.99 1.597 0. 1.291


















Problem 470 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 157 157 80 250 178 244 0 201
normalized size 1 1. 0.51 1.59 1.13 1.55 0. 1.28
time (sec) N/A 0.101 0.082 0.268 1.025 1.592 0. 1.312


















Problem 471 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 158 158 187 0 0 0 0 0
normalized size 1 1. 1.18 0. 0. 0. 0. 0.
time (sec) N/A 0.143 0.1 0.026 0. 0. 0. 0.


















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 70 84 410 238 0 0
normalized size 1 1. 0.5 0.6 2.95 1.71 0. 0.
time (sec) N/A 0.093 0.074 0.17 1.695 1.676 0. 0.


















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 208 208 94 118 694 329 0 0
normalized size 1 1. 0.45 0.57 3.34 1.58 0. 0.
time (sec) N/A 0.152 0.085 0.178 1.73 1.728 0. 0.


















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 277 120 152 1014 428 0 0
normalized size 1 1. 0.43 0.55 3.66 1.55 0. 0.
time (sec) N/A 0.228 0.11 0.191 1.794 1.707 0. 0.


















Problem 475 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 302 302 569 0 0 0 0 0
normalized size 1 1. 1.88 0. 0. 0. 0. 0.
time (sec) N/A 0.197 3.707 0.245 0. 0. 0. 0.


















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 87 105 0 305 0 0
normalized size 1 1. 0.46 0.55 0. 1.6 0. 0.
time (sec) N/A 0.165 0.093 0.178 0. 1.7 0. 0.


















Problem 477 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 289 289 119 153 0 433 0 0
normalized size 1 1. 0.41 0.53 0. 1.5 0. 0.
time (sec) N/A 0.304 0.11 0.211 0. 1.716 0. 0.


















Problem 478 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 385 385 151 201 0 574 0 0
normalized size 1 1. 0.39 0.52 0. 1.49 0. 0.
time (sec) N/A 0.484 0.132 0.202 0. 1.712 0. 0.


















Problem 479 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.034 1.148 0.238 0. 0. 0. 0.


















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.035 0.162 0.37 0. 0. 0. 0.


















Problem 481 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 9 9 9 10 0 0 0 0
normalized size 1 1. 1. 1.11 0. 0. 0. 0.
time (sec) N/A 0.053 0.107 0.233 0. 0. 0. 0.


















Problem 482 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 27 27 22 21 0 0 0 0
normalized size 1 1. 0.81 0.78 0. 0. 0. 0.
time (sec) N/A 0.093 0.06 0.155 0. 0. 0. 0.


















Problem 483 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 41 41 31 30 0 0 0 0
normalized size 1 1. 0.76 0.73 0. 0. 0. 0.
time (sec) N/A 0.109 0.063 0.154 0. 0. 0. 0.


















Problem 484 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 55 55 40 39 0 0 0 0
normalized size 1 1. 0.73 0.71 0. 0. 0. 0.
time (sec) N/A 0.123 0.07 0.168 0. 0. 0. 0.


















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.03 1.463 0.247 0. 0. 0. 0.


















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.033 0.894 0.385 0. 0. 0. 0.


















Problem 487 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 35 35 32 62 0 0 0 0
normalized size 1 1. 0.91 1.77 0. 0. 0. 0.
time (sec) N/A 0.123 0.11 0.24 0. 0. 0. 0.


















Problem 488 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 52 52 45 120 0 0 0 0
normalized size 1 1. 0.87 2.31 0. 0. 0. 0.
time (sec) N/A 0.16 0.133 0.157 0. 0. 0. 0.


















Problem 489 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 56 176 0 0 0 0
normalized size 1 1. 0.85 2.67 0. 0. 0. 0.
time (sec) N/A 0.177 0.167 0.171 0. 0. 0. 0.


















Problem 490 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 80 80 65 232 0 0 0 0
normalized size 1 1. 0.81 2.9 0. 0. 0. 0.
time (sec) N/A 0.191 0.209 0.159 0. 0. 0. 0.


















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.031 1.714 0.27 0. 0. 0. 0.


















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.033 1.072 0.559 0. 0. 0. 0.


















Problem 493 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 65 65 44 86 0 0 0 0
normalized size 1 1. 0.68 1.32 0. 0. 0. 0.
time (sec) N/A 0.167 0.115 0.253 0. 0. 0. 0.


















Problem 494 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 79 79 56 180 0 0 0 0
normalized size 1 1. 0.71 2.28 0. 0. 0. 0.
time (sec) N/A 0.362 0.207 0.163 0. 0. 0. 0.


















Problem 495 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 93 93 79 272 0 0 0 0
normalized size 1 1. 0.85 2.92 0. 0. 0. 0.
time (sec) N/A 0.405 0.229 0.174 0. 0. 0. 0.


















Problem 496 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 107 107 99 364 0 0 0 0
normalized size 1 1. 0.93 3.4 0. 0. 0. 0.
time (sec) N/A 0.439 0.212 0.186 0. 0. 0. 0.


















Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 122 122 193 1871 0 0 0 0
normalized size 1 1. 1.58 15.34 0. 0. 0. 0.
time (sec) N/A 0.318 0.387 0.444 0. 0. 0. 0.


















Problem 498 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 245 245 213 334 373 559 372 331
normalized size 1 1. 0.87 1.36 1.52 2.28 1.52 1.35
time (sec) N/A 0.18 0.112 0.035 0.967 1.945 15.058 1.173


















Problem 499 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 169 169 150 233 267 383 245 232
normalized size 1 1. 0.89 1.38 1.58 2.27 1.45 1.37
time (sec) N/A 0.129 0.076 0.035 0.962 1.947 7.839 1.22


















Problem 500 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 110 110 98 148 177 259 155 153
normalized size 1 1. 0.89 1.35 1.61 2.35 1.41 1.39
time (sec) N/A 0.135 0.051 0.031 0.984 1.898 3.33 1.176


















Problem 501 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 69 76 88 143 73 82
normalized size 1 1. 1.21 1.33 1.54 2.51 1.28 1.44
time (sec) N/A 0.067 0.011 0.031 0.953 1.968 1.518 1.203


















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 429 429 662 833 0 0 0 0
normalized size 1 1. 1.54 1.94 0. 0. 0. 0.
time (sec) N/A 0.442 1.345 0.197 0. 0. 0. 0.


















Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 590 590 746 2346 0 0 0 0
normalized size 1 1. 1.26 3.98 0. 0. 0. 0.
time (sec) N/A 0.91 7.171 0.555 0. 0. 0. 0.


















Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 657 657 1840 4311 0 0 0 0
normalized size 1 1. 2.8 6.56 0. 0. 0. 0.
time (sec) N/A 0.966 12.902 0.707 0. 0. 0. 0.


















Problem 505 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 17 17 17 19 31 58 14 107
normalized size 1 1. 1. 1.12 1.82 3.41 0.82 6.29
time (sec) N/A 0.044 0.055 0.059 0.97 1.912 1.58 1.166


















Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 576 176 243 0 0 0
normalized size 1 1. 3.37 1.03 1.42 0. 0. 0.
time (sec) N/A 0.24 0.885 0.106 0.96 0. 0. 0.


















Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 203 196 267 0 0 0
normalized size 1 1. 1. 0.97 1.32 0. 0. 0.
time (sec) N/A 0.258 0.039 0.161 0.972 0. 0. 0.


















Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 86 86 260 110 161 0 0 0
normalized size 1 1. 3.02 1.28 1.87 0. 0. 0.
time (sec) N/A 0.061 0.085 0.11 0.974 0. 0. 0.


















Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 397 397 485 606 0 0 0 0
normalized size 1 1. 1.22 1.53 0. 0. 0. 0.
time (sec) N/A 0.372 1.008 0.186 0. 0. 0. 0.


















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 258 258 874 1599 0 0 0 0
normalized size 1 1. 3.39 6.2 0. 0. 0. 0.
time (sec) N/A 0.328 18.673 0.337 0. 0. 0. 0.


















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.022 3.939 0.772 0. 0. 0. 0.


















Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-2) A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.024 3.858 0.632 0. 0. 0. 0.


















Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 119 0 0 763 0 96
normalized size 1 1. 1.92 0. 0. 12.31 0. 1.55
time (sec) N/A 0.122 0.111 0.497 0. 2.134 0. 1.246


















Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 226 0 0 1499 0 182
normalized size 1 1. 1.77 0. 0. 11.71 0. 1.42
time (sec) N/A 0.375 0.305 0.485 0. 2.508 0. 1.225


















Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 329 0 0 2612 0 294
normalized size 1 1. 1.64 0. 0. 13.06 0. 1.47
time (sec) N/A 1.082 0.582 0.483 0. 2.889 0. 1.245


















Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 283 283 431 0 0 4143 0 471
normalized size 1 1. 1.52 0. 0. 14.64 0. 1.66
time (sec) N/A 1.511 0.933 0.497 0. 3.691 0. 1.306


















Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 186 186 97 229 0 0 0 0
normalized size 1 1. 0.52 1.23 0. 0. 0. 0.
time (sec) N/A 0.088 0.324 0.434 0. 0. 0. 0.


















Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 144 144 90 210 0 0 0 0
normalized size 1 1. 0.62 1.46 0. 0. 0. 0.
time (sec) N/A 0.054 0.099 0.354 0. 0. 0. 0.


















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 30 52 0 93 0 73
normalized size 1 1. 0.81 1.41 0. 2.51 0. 1.97
time (sec) N/A 0.025 0.042 0.217 0. 2.019 0. 1.198


















Problem 520 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 83 83 45 112 90 142 0 116
normalized size 1 1. 0.54 1.35 1.08 1.71 0. 1.4
time (sec) N/A 0.053 0.049 0.237 0.975 1.958 0. 1.212


















Problem 521 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 124 124 55 176 134 190 0 159
normalized size 1 1. 0.44 1.42 1.08 1.53 0. 1.28
time (sec) N/A 0.082 0.059 0.26 0.992 1.967 0. 1.211


















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C C A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 315 236 4757 428 590 338 614
normalized size 1 1. 0.75 15.1 1.36 1.87 1.07 1.95
time (sec) N/A 0.776 0.157 1.915 0.983 1.931 31.773 1.508


















Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 192 3739 366 441 279 555
normalized size 1 1. 0.85 16.62 1.63 1.96 1.24 2.47
time (sec) N/A 0.269 0.149 1.247 0.988 1.957 19.737 1.456


















Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C C A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 247 183 3994 340 455 258 477
normalized size 1 1. 0.74 16.17 1.38 1.84 1.04 1.93
time (sec) N/A 0.634 0.124 1.142 0.998 1.957 12.832 1.306


















Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 129 2951 231 298 202 412
normalized size 1 1. 0.92 21.08 1.65 2.13 1.44 2.94
time (sec) N/A 0.119 0.104 0.639 0.977 2.114 6.931 1.258


















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C C A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 144 2529 240 306 148 301
normalized size 1 1. 1.38 24.32 2.31 2.94 1.42 2.89
time (sec) N/A 0.195 0.017 0.611 0.972 2.245 4.484 1.193


















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C A F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 216 216 0 1638 205 0 0 0
normalized size 1 1. 0. 7.58 0.95 0. 0. 0.
time (sec) N/A 0.28 0.237 1.191 1.462 0. 0. 0.


















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 94 332 0 0 0 0 0
normalized size 1 0.9 3.16 0. 0. 0. 0. 0.
time (sec) N/A 0.256 0.208 2.427 0. 0. 0. 0.


















Problem 529 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 157 157 152 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.14 0.157 3.545 0. 0. 0. 0.


















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 191 460 0 0 0 0 0
normalized size 1 0.97 2.34 0. 0. 0. 0. 0.
time (sec) N/A 0.465 0.384 5.205 0. 0. 0. 0.


















Problem 531 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 244 244 299 0 0 0 0 0
normalized size 1 1. 1.23 0. 0. 0. 0. 0.
time (sec) N/A 0.261 0.151 14.305 0. 0. 0. 0.


















Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 256 250 0 0 0 0 0 0
normalized size 1 0.98 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.664 0.286 13.339 0. 0. 0. 0.


















Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 512 512 1601 10161 0 0 0 0
normalized size 1 1. 3.13 19.85 0. 0. 0. 0.
time (sec) N/A 0.763 5.148 1.908 0. 0. 0. 0.


















Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 599 599 1251 0 0 0 0 0
normalized size 1 1. 2.09 0. 0. 0. 0. 0.
time (sec) N/A 0.797 2.984 1.73 0. 0. 0. 0.


















Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 92 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.252 0.214 0.759 0. 0. 0. 0.


















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 613 613 1226 0 0 0 0 0
normalized size 1 1. 2. 0. 0. 0. 0. 0.
time (sec) N/A 0.739 3.238 0.793 0. 0. 0. 0.


















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 470 470 982 961 0 0 0 0
normalized size 1 1. 2.09 2.04 0. 0. 0. 0.
time (sec) N/A 0.746 4.544 2.897 0. 0. 0. 0.


















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B C A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 122 70 247 305 166 0 138
normalized size 1 1.56 0.9 3.17 3.91 2.13 0. 1.77
time (sec) N/A 0.293 0.082 0.063 1.216 1.922 0. 1.183









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 [110] had the largest ratio of [ 1. ]

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 7 6 1. 18 0.333







2 A 7 6 1. 18 0.333







3 A 7 6 1. 16 0.375







4 A 4 3 1. 15 0.2







5 A 6 4 1. 18 0.222







6 A 8 7 1. 18 0.389







7 A 4 4 1. 18 0.222







8 A 4 4 1. 18 0.222







9 A 4 4 1. 18 0.222







10 A 7 6 1. 20 0.3







11 A 7 6 1. 20 0.3







12 A 7 6 1. 18 0.333







13 A 4 3 1. 17 0.176







14 A 9 7 1. 20 0.35







15 A 11 9 1.31 20 0.45







16 A 11 9 1. 20 0.45







17 A 4 4 1. 20 0.2







18 A 4 4 1. 20 0.2







19 A 4 4 1. 20 0.2







20 A 7 6 1. 20 0.3







21 A 7 6 1. 20 0.3







22 A 4 4 1. 18 0.222







23 A 4 3 1. 17 0.176







24 A 13 9 1. 20 0.45







25 A 14 11 1. 20 0.55







26 A 14 11 1. 20 0.55







27 A 15 10 1. 20 0.5







28 A 4 4 1. 20 0.2







29 A 4 5 1. 20 0.25







30 A 4 4 1. 20 0.2







31 A 7 6 1. 20 0.3







32 A 4 4 1. 20 0.2







33 A 4 4 1. 18 0.222







34 A 4 3 1. 17 0.176







35 A 17 10 1. 20 0.5







36 A 18 12 1. 20 0.6







37 A 17 12 1. 20 0.6







38 A 18 12 1. 20 0.6







39 A 19 10 1. 20 0.5







40 A 4 4 1. 20 0.2







41 A 4 5 1. 20 0.25







42 A 4 4 1. 20 0.2







43 A 16 11 1. 20 0.55







44 A 11 9 1. 20 0.45







45 A 7 6 1. 18 0.333







46 A 3 3 1. 17 0.176







47 A 2 2 1. 20 0.1







48 A 8 8 1. 20 0.4







49 A 12 10 1. 20 0.5







50 A 17 11 1. 20 0.55







51 A 16 13 1. 20 0.65







52 A 13 10 1. 20 0.5







53 A 10 8 1. 18 0.444







54 A 5 4 1. 17 0.235







55 A 11 9 1. 20 0.45







56 A 16 14 1. 20 0.7







57 A 19 16 1. 20 0.8







58 A 21 13 1. 20 0.65







59 A 18 10 1. 20 0.5







60 A 15 8 1. 20 0.4







61 A 5 5 1. 18 0.278







62 A 5 4 1. 17 0.235







63 A 16 9 1. 20 0.45







64 A 21 14 1. 20 0.7







65 A 24 16 1. 20 0.8







66 A 5 4 1. 16 0.25







67 A 3 3 1. 17 0.176







68 A 27 15 1. 20 0.75







69 A 22 14 1. 20 0.7







70 A 17 12 1. 18 0.667







71 A 9 7 1. 17 0.412







72 A 13 11 1. 20 0.55







73 A 12 10 1. 20 0.5







74 A 14 11 1. 20 0.55







75 A 18 13 1. 20 0.65







76 A 43 15 1. 22 0.682







77 A 36 15 1. 22 0.682







78 A 28 14 1. 20 0.7







79 A 12 10 1. 19 0.526







80 A 19 14 1. 22 0.636







81 A 17 15 1. 22 0.682







82 A 20 15 1. 22 0.682







83 A 14 13 1. 22 0.591







84 A 62 15 1. 22 0.682







85 A 52 15 1. 22 0.682







86 A 38 14 1. 20 0.7







87 A 16 12 1. 19 0.632







88 A 28 16 1. 22 0.727







89 A 23 17 1. 22 0.773







90 A 25 20 1. 22 0.909







91 A 28 17 1. 22 0.773







92 A 18 14 1. 22 0.636







93 A 22 15 1. 22 0.682







94 A 29 14 1. 22 0.636







95 A 26 14 1. 22 0.636







96 A 16 12 1. 22 0.546







97 A 9 9 1. 20 0.45







98 A 3 4 1. 19 0.21







99 A 3 4 1. 22 0.182







100 A 8 8 1. 22 0.364







101 A 17 13 1. 22 0.591







102 A 26 15 1. 22 0.682







103 A 33 19 1. 22 0.864







104 A 24 17 1. 22 0.773







105 A 18 14 1. 22 0.636







106 A 13 10 1. 20 0.5







107 A 8 6 1. 19 0.316







108 A 19 13 1. 22 0.591







109 A 23 17 1. 22 0.773







110 A 31 22 1. 22 1.







111 A 37 17 1. 22 0.773







112 A 31 14 1. 22 0.636







113 A 26 10 1. 22 0.454







114 A 13 7 1. 20 0.35







115 A 13 6 1. 19 0.316







116 A 32 13 1. 22 0.591







117 A 36 17 1. 22 0.773







118 A 18 6 1. 18 0.333







119 A 4 5 1. 20 0.25







120 A 26 15 1. 18 0.833







121 A 17 13 1. 18 0.722







122 A 11 10 1. 16 0.625







123 A 4 5 1. 18 0.278







124 A 11 6 1. 18 0.333







125 A 24 6 1. 18 0.333







126 A 42 6 1. 18 0.333







127 A 19 13 1. 18 0.722







128 A 10 9 1. 16 0.562







129 A 4 5 1. 15 0.333







130 A 4 5 1. 18 0.278







131 A 5 6 1. 19 0.316







132 A 10 8 1. 18 0.444







133 A 18 10 1. 18 0.556







134 A 21 10 1. 19 0.526







135 A 12 8 1. 17 0.471







136 A 5 5 1. 16 0.312







137 A 5 5 1. 19 0.263







138 A 6 6 1. 20 0.3







139 A 12 10 1. 19 0.526







140 A 21 11 1. 19 0.579







141 A 0 0 0. 0 0.







142 A 0 0 0. 0 0.







143 A 0 0 0. 0 0.







144 A 0 0 0. 0 0.







145 A 0 0 0. 0 0.







146 A 0 0 0. 0 0.







147 A 16 12 1. 19 0.632







148 A 12 10 1. 19 0.526







149 A 9 7 1. 17 0.412







150 A 4 4 1. 16 0.25







151 A 7 6 1. 19 0.316







152 A 12 11 1. 19 0.579







153 A 15 13 1. 19 0.684







154 A 14 11 1. 21 0.524







155 A 8 7 1. 19 0.368







156 A 1 1 1. 18 0.056







157 A 9 7 1. 21 0.333







158 A 13 11 1. 21 0.524







159 A 9 7 1. 17 0.412







160 A 0 0 0. 0 0.







161 A 9 4 1. 18 0.222







162 A 9 4 1. 18 0.222







163 A 9 4 1. 18 0.222







164 A 2 1 1. 16 0.062







165 A 3 3 1. 15 0.2







166 A 5 5 1. 18 0.278







167 A 8 8 1. 18 0.444







168 A 5 5 1. 18 0.278







169 A 10 7 1. 18 0.389







170 A 3 2 1. 18 0.111







171 A 9 4 1. 18 0.222







172 A 34 10 1. 20 0.5







173 A 26 8 1. 20 0.4







174 A 24 10 1. 20 0.5







175 A 4 4 1. 18 0.222







176 A 7 7 1. 17 0.412







177 A 12 10 1. 20 0.5







178 A 10 10 1. 20 0.5







179 A 15 12 1. 20 0.6







180 A 13 8 1. 20 0.4







181 A 11 8 1. 20 0.4







182 A 22 8 1. 20 0.4







183 A 8 8 1. 17 0.471







184 A 10 5 1. 19 0.263







185 A 0 0 0. 0 0.







186 A 0 0 0. 0 0.







187 A 0 0 0. 0 0.







188 A 0 0 0. 0 0.







189 A 0 0 0. 0 0.







190 A 0 0 0. 0 0.







191 A 0 0 0. 0 0.







192 A 14 4 1. 20 0.2







193 A 14 4 1. 20 0.2







194 A 14 4 1. 20 0.2







195 A 3 2 1. 18 0.111







196 A 4 3 1. 17 0.176







197 A 10 6 1. 20 0.3







198 A 13 9 1. 20 0.45







199 A 9 6 1. 20 0.3







200 A 13 9 1. 20 0.45







201 A 10 5 1. 20 0.25







202 A 15 7 1. 20 0.35







203 A 59 10 1. 22 0.454







204 A 47 8 1. 22 0.364







205 A 44 10 1. 22 0.454







206 A 5 4 1. 20 0.2







207 A 9 7 1. 19 0.368







208 A 23 12 1. 22 0.546







209 A 20 13 1. 22 0.591







210 A 21 15 1. 22 0.682







211 A 19 13 1. 22 0.591







212 A 29 13 1. 22 0.591







213 A 27 8 1. 22 0.364







214 A 16 8 1. 22 0.364







215 A 42 8 1. 22 0.364







216 A 56 9 1. 22 0.409







217 A 12 9 1. 19 0.474







218 A 0 0 0. 0 0.







219 A 0 0 0. 0 0.







220 A 0 0 0. 0 0.







221 A 0 0 0. 0 0.







222 A 0 0 0. 0 0.







223 A 0 0 0. 0 0.







224 A 5 3 1. 17 0.176







225 A 12 8 1. 19 0.421







226 A 17 9 1. 19 0.474







227 A 8 8 1. 20 0.4







228 A 4 4 1. 20 0.2







229 A 4 4 1. 18 0.222







230 A 1 1 1. 17 0.059







231 A 3 3 1. 20 0.15







232 A 7 7 1. 20 0.35







233 A 7 7 1. 20 0.35







234 A 10 9 1. 22 0.409







235 A 7 7 1. 22 0.318







236 A 4 5 1. 20 0.25







237 A 1 1 1. 19 0.053







238 A 4 5 1. 22 0.227







239 A 6 6 1. 22 0.273







240 A 13 11 1. 22 0.5







241 A 14 11 1. 22 0.5







242 A 7 7 1. 22 0.318







243 A 5 6 1. 20 0.3







244 A 1 1 1. 19 0.053







245 A 5 6 1. 22 0.273







246 A 7 7 1. 22 0.318







247 A 13 9 1. 22 0.409







248 A 1 1 1. 21 0.048







249 A 0 0 0. 0 0.







250 A 1 1 1. 19 0.053







251 A 0 0 0. 0 0.







252 A 0 0 0. 0 0.







253 A 1 1 1. 19 0.053







254 A 0 0 0. 0 0.







255 A 0 0 0. 0 0.







256 A 1 1 1. 19 0.053







257 A 0 0 0. 0 0.







258 A 1 1 1. 19 0.053







259 A 8 8 1. 20 0.4







260 A 2 2 1. 20 0.1







261 A 3 3 1. 18 0.167







262 A 2 2 1. 17 0.118







263 A 7 7 1. 20 0.35







264 A 10 10 1. 20 0.5







265 A 15 10 1. 20 0.5







266 A 8 9 1. 22 0.409







267 A 4 4 1. 22 0.182







268 A 3 3 1. 20 0.15







269 A 4 4 1. 19 0.21







270 A 8 9 1. 22 0.409







271 A 11 11 1. 22 0.5







272 A 22 15 1. 22 0.682







273 A 11 11 1. 22 0.5







274 A 4 4 1. 22 0.182







275 A 5 4 1. 20 0.2







276 A 4 3 1. 19 0.158







277 A 11 11 1. 22 0.5







278 A 12 11 1. 22 0.5







279 A 25 14 1. 22 0.636







280 A 9 8 1. 21 0.381







281 A 0 0 0. 0 0.







282 A 0 0 0. 0 0.







283 A 4 3 1. 22 0.136







284 A 4 4 1. 20 0.2







285 A 4 3 1. 19 0.158







286 A 0 0 0. 0 0.







287 A 0 0 0. 0 0.







288 A 5 5 1. 22 0.227







289 A 9 5 1. 20 0.25







290 A 5 5 1. 19 0.263







291 A 0 0 0. 0 0.







292 A 0 0 0. 0 0.







293 A 10 6 1. 22 0.273







294 A 5 5 1. 20 0.25







295 A 10 6 1. 19 0.316







296 A 0 0 0. 0 0.







297 A 6 6 1. 19 0.316







298 A 11 7 1. 19 0.368







299 A 7 6 1. 19 0.316







300 A 12 7 1. 19 0.368







301 A 8 6 1. 19 0.316







302 A 4 3 1. 20 0.15







303 A 3 3 1. 20 0.15







304 A 4 3 1. 18 0.167







305 A 3 3 1. 17 0.176







306 A 12 7 1. 20 0.35







307 A 14 11 1. 20 0.55







308 A 4 4 1. 22 0.182







309 A 13 6 1. 22 0.273







310 A 4 4 1. 20 0.2







311 A 8 5 1. 19 0.263







312 A 13 10 1. 22 0.454







313 A 20 12 1. 22 0.546







314 A 9 7 1. 22 0.318







315 A 13 6 1. 22 0.273







316 A 9 5 1. 20 0.25







317 A 8 5 1. 19 0.263







318 A 21 12 1. 22 0.546







319 A 21 13 1. 22 0.591







320 A 15 7 1. 21 0.333







321 A 0 0 0. 0 0.







322 A 0 0 0. 0 0.







323 A 5 3 1. 22 0.136







324 A 5 3 1. 22 0.136







325 A 4 3 1. 22 0.136







326 A 5 3 1. 20 0.15







327 A 5 3 1. 19 0.158







328 A 0 0 0. 0 0.







329 A 0 0 0. 0 0.







330 A 6 4 1. 22 0.182







331 A 20 7 1.38 22 0.318







332 A 12 6 1.46 22 0.273







333 A 10 6 1. 20 0.3







334 A 6 4 1. 19 0.21







335 A 0 0 0. 0 0.







336 A 21 8 1. 22 0.364







337 A 25 8 1.5 22 0.364







338 A 22 8 1.27 22 0.364







339 A 19 7 1. 20 0.35







340 A 11 7 1. 19 0.368







341 A 0 0 0. 0 0.







342 A 20 7 1. 19 0.368







343 A 35 8 1. 19 0.421







344 A 49 8 1. 19 0.421







345 A 4 3 1. 17 0.176







346 A 13 5 1. 19 0.263







347 A 13 5 1. 19 0.263







348 A 21 7 1. 21 0.333







349 A 0 0 0. 0 0.







350 A 0 0 0. 0 0.







351 A 6 3 1. 22 0.136







352 A 6 3 1. 22 0.136







353 A 6 3 1. 22 0.136







354 A 5 3 1. 22 0.136







355 A 6 3 1. 22 0.136







356 A 6 3 1. 20 0.15







357 A 6 3 1. 19 0.158







358 A 0 0 0. 0 0.







359 A 0 0 0. 0 0.







360 A 13 6 1. 20 0.3







361 A 7 4 1. 19 0.21







362 A 22 6 1. 20 0.3







363 A 14 7 1. 19 0.368







364 A 9 4 1. 22 0.182







365 A 7 5 1. 22 0.227







366 A 5 4 1. 22 0.182







367 A 3 3 1. 22 0.136







368 A 2 2 1. 20 0.1







369 A 1 1 1. 19 0.053







370 A 1 1 1. 22 0.045







371 A 4 4 1. 22 0.182







372 A 3 3 1. 22 0.136







373 A 6 4 1. 24 0.167







374 A 11 8 1. 24 0.333







375 A 2 2 1. 22 0.091







376 A 8 5 1. 21 0.238







377 A 8 5 1. 24 0.208







378 A 2 2 1. 24 0.083







379 A 13 10 1. 24 0.417







380 A 21 8 1. 24 0.333







381 A 13 9 1. 24 0.375







382 A 9 6 1. 22 0.273







383 A 10 6 1. 21 0.286







384 A 10 6 1. 24 0.25







385 A 9 6 1. 24 0.25







386 A 13 9 1. 24 0.375







387 A 0 0 0. 0 0.







388 A 5 4 1. 22 0.182







389 A 2 2 1. 22 0.091







390 A 2 2 1. 20 0.1







391 A 1 1 1. 19 0.053







392 A 4 4 1. 22 0.182







393 A 6 6 1. 22 0.273







394 A 8 6 1. 22 0.273







395 A 0 0 0. 0 0.







396 A 5 4 1. 24 0.167







397 A 11 8 1. 24 0.333







398 A 2 2 1. 22 0.091







399 A 2 2 1. 21 0.095







400 A 11 8 1. 24 0.333







401 A 5 5 1. 24 0.208







402 A 25 13 1. 24 0.542







403 A 0 0 0. 0 0.







404 A 13 9 1. 24 0.375







405 A 13 9 1. 24 0.375







406 A 3 3 1. 22 0.136







407 A 2 2 1. 21 0.095







408 A 14 10 1. 24 0.417







409 A 12 9 1. 24 0.375







410 A 28 13 1. 24 0.542







411 A 0 0 0. 0 0.







412 A 0 0 0. 0 0.







413 A 2 2 1. 22 0.091







414 A 2 2 1. 21 0.095







415 A 0 0 0. 0 0.







416 A 0 0 0. 0 0.







417 A 0 0 0. 0 0.







418 A 3 3 1. 22 0.136







419 A 3 3 1. 21 0.143







420 A 0 0 0. 0 0.







421 A 0 0 0. 0 0.







422 A 0 0 0. 0 0.







423 A 4 4 1. 22 0.182







424 A 4 4 1. 21 0.19







425 A 0 0 0. 0 0.







426 A 11 6 1. 22 0.273







427 A 9 5 1. 22 0.227







428 A 7 6 1. 22 0.273







429 A 3 3 1. 20 0.15







430 A 2 2 1. 19 0.105







431 A 3 3 1. 22 0.136







432 A 6 6 1. 22 0.273







433 A 5 4 1. 22 0.182







434 A 5 5 1. 22 0.227







435 A 9 5 1. 22 0.227







436 A 21 7 1. 22 0.318







437 A 14 5 1. 22 0.227







438 A 45 10 1. 24 0.417







439 A 21 7 1. 24 0.292







440 A 29 10 1. 24 0.417







441 A 3 3 1. 22 0.136







442 A 10 7 1. 21 0.333







443 A 11 8 1. 24 0.333







444 A 11 8 1. 24 0.333







445 A 22 11 1. 24 0.458







446 A 6 5 1. 24 0.208







447 A 27 7 1. 22 0.318







448 A 24 6 1. 22 0.273







449 A 19 7 1. 22 0.318







450 A 4 3 1. 20 0.15







451 A 3 2 1. 19 0.105







452 A 7 6 1. 22 0.273







453 A 9 7 1. 22 0.318







454 A 9 6 1. 22 0.273







455 A 12 7 1. 22 0.318







456 A 15 6 1. 22 0.273







457 A 6 5 1. 22 0.227







458 A 24 6 1. 22 0.273







459 A 4 2 1. 19 0.105







460 A 3 2 1. 19 0.105







461 A 2 2 1. 19 0.105







462 A 2 2 1. 19 0.105







463 A 3 2 1. 19 0.105







464 A 4 2 1. 19 0.105







465 A 4 3 1. 20 0.15







466 A 3 3 1. 20 0.15







467 A 2 2 1. 20 0.1







468 A 1 1 1. 20 0.05







469 A 2 2 1. 20 0.1







470 A 3 2 1. 20 0.1







471 A 10 7 1. 21 0.333







472 A 5 4 1. 21 0.19







473 A 9 4 1. 21 0.19







474 A 14 4 1. 21 0.19







475 A 12 8 1. 21 0.381







476 A 5 4 1. 21 0.19







477 A 9 4 1. 21 0.19







478 A 14 4 1. 21 0.19







479 A 0 0 0. 0 0.







480 A 0 0 0. 0 0.







481 A 2 2 1. 21 0.095







482 A 5 3 1. 21 0.143







483 A 6 3 1. 21 0.143







484 A 7 3 1. 21 0.143







485 A 0 0 0. 0 0.







486 A 0 0 0. 0 0.







487 A 3 3 1. 21 0.143







488 A 6 4 1. 21 0.19







489 A 7 4 1. 21 0.19







490 A 8 4 1. 21 0.19







491 A 0 0 0. 0 0.







492 A 0 0 0. 0 0.







493 A 4 4 1. 21 0.19







494 A 12 7 1. 21 0.333







495 A 14 7 1. 21 0.333







496 A 16 7 1. 21 0.333







497 A 7 6 1. 28 0.214







498 A 4 4 1. 14 0.286







499 A 4 4 1. 14 0.286







500 A 5 5 1. 14 0.357







501 A 5 4 1. 12 0.333







502 A 17 5 1. 14 0.357







503 A 25 13 1. 14 0.929







504 A 23 11 1. 14 0.786







505 A 1 1 1. 20 0.05







506 A 17 5 1. 14 0.357







507 A 17 5 1. 16 0.312







508 A 4 4 1. 10 0.4







509 A 17 5 1. 12 0.417







510 A 10 7 1. 15 0.467







511 A 0 0 0. 0 0.







512 A 0 0 0. 0 0.







513 A 5 6 1. 16 0.375







514 A 7 9 1. 16 0.562







515 A 8 9 1. 16 0.562







516 A 8 9 1. 16 0.562







517 A 3 3 1. 15 0.2







518 A 2 2 1. 15 0.133







519 A 1 1 1. 15 0.067







520 A 2 2 1. 15 0.133







521 A 3 2 1. 15 0.133







522 A 26 15 1. 27 0.556







523 A 14 11 1. 27 0.407







524 A 21 15 1. 27 0.556







525 A 7 8 1. 25 0.32







526 A 9 8 1. 24 0.333







527 A 14 9 1. 27 0.333







528 A 8 8 0.9 27 0.296







529 A 5 6 1. 27 0.222







530 A 17 16 0.97 27 0.593







531 A 10 7 1. 27 0.259







532 A 26 18 0.98 27 0.667







533 A 22 17 1. 22 0.773







534 A 28 12 1. 21 0.571







535 A 0 0 0. 0 0.







536 A 28 14 1. 24 0.583







537 A 20 17 1. 24 0.708







538 A 16 7 1.56 20 0.35