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, 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, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592 }

B grade: { }

C grade: { }

F grade: { 391, 392, 593, 594}

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 68, 69, 70, 71, 72, 73, 74, 75, 77, 85, 86, 87, 88, 89, 90, 91, 92, 93, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 116, 117, 118, 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, 174, 178, 203, 204, 205, 206, 207, 208, 209, 210, 211, 218, 219, 220, 221, 222, 223, 230, 231, 232, 233, 234, 235, 236, 256, 260, 261, 262, 263, 264, 266, 267, 268, 269, 271, 272, 273, 274, 275, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 309, 311, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 329, 330, 331, 332, 333, 334, 335, 336, 337, 340, 341, 342, 343, 344, 345, 346, 347, 349, 350, 351, 352, 353, 354, 355, 358, 359, 360, 361, 362, 363, 364, 365, 367, 368, 369, 370, 371, 372, 374, 375, 380, 384, 385, 395, 396, 399, 400, 401, 402, 403, 407, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 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, 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, 527, 528, 529, 530, 531, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 564, 567, 568, 569, 570, 571, 572, 573, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 592 }

B grade: { 40, 54, 66, 67, 119, 120, 179, 265, 270, 276, 277, 308, 310, 312, 378, 379, 565, 566, 593 }

C grade: { 76, 78, 79, 80, 81, 82, 83, 84, 94, 95, 96, 97, 98, 99, 113, 114, 115, 172, 173, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 212, 213, 214, 215, 216, 217, 224, 225, 226, 227, 228, 229, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 257, 258, 259, 294, 328, 338, 339, 348, 356, 357, 366, 373, 383, 386, 387, 388, 389, 390, 391, 392, 393, 394, 397, 398, 404, 405, 406, 408, 409, 410, 484, 521, 522, 523, 524, 525, 526, 532, 533, 534, 535, 536, 537, 561, 562, 563, 574, 575, 576, 591, 594 }

F grade: { 175, 176, 177, 180, 181, 376, 377, 381, 382, 423, 424}

2.1.3 Maple

A grade: { 1, 2, 3, 6, 13, 14, 15, 16, 17, 18, 31, 32, 33, 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, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 107, 114, 116, 117, 118, 121, 127, 128, 129, 130, 131, 139, 140, 141, 142, 143, 148, 149, 151, 152, 154, 157, 158, 159, 160, 161, 162, 163, 164, 168, 170, 195, 196, 197, 198, 199, 200, 201, 202, 215, 217, 236, 238, 246, 256, 261, 262, 263, 264, 265, 267, 268, 271, 272, 273, 274, 275, 276, 279, 280, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 299, 300, 303, 305, 306, 307, 308, 309, 311, 313, 315, 317, 318, 319, 320, 321, 322, 324, 325, 329, 330, 331, 332, 333, 335, 340, 341, 342, 344, 345, 346, 349, 350, 352, 353, 354, 355, 358, 359, 360, 361, 364, 365, 368, 383, 384, 385, 386, 394, 395, 396, 397, 399, 400, 401, 402, 403, 407, 419, 425, 426, 427, 428, 429, 430, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 450, 451, 452, 453, 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, 491, 492, 493, 494, 495, 496, 497, 498, 502, 503, 504, 505, 507, 508, 509, 513, 514, 515, 516, 519, 520, 524, 525, 526, 527, 528, 529, 530, 531, 541, 542, 552, 553, 554, 557, 564, 569, 570, 571, 572, 573, 577, 579, 580, 581, 582, 583, 586, 587, 588, 589, 590 }

B grade: { 4, 5, 34, 84, 85, 106, 108, 109, 110, 111, 112, 113, 115, 120, 122, 123, 124, 125, 126, 132, 133, 134, 135, 136, 137, 138, 144, 145, 146, 147, 153, 155, 156, 165, 166, 167, 169, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 216, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 237, 247, 259, 260, 266, 270, 277, 278, 298, 301, 302, 304, 310, 312, 314, 316, 323, 326, 327, 328, 334, 336, 337, 338, 339, 343, 347, 348, 356, 357, 362, 363, 366, 367, 369, 370, 371, 387, 393, 398, 404, 405, 406, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 446, 447, 448, 449, 454, 455, 456, 488, 489, 490, 499, 500, 501, 506, 510, 511, 512, 517, 521, 522, 523, 532, 533, 534, 535, 536, 537, 538, 539, 540, 562, 591, 593 }

C grade: { 7, 8, 9, 10, 11, 12, 119, 150, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 239, 241, 242, 243, 249, 250, 251, 252, 253, 254, 255, 257, 258, 269, 281, 351, 388, 389, 390, 391, 392, 518, 594 }

F grade: { 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 240, 244, 245, 248, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 420, 421, 422, 423, 424, 431, 432, 433, 543, 544, 545, 546, 547, 548, 549, 550, 551, 555, 556, 558, 559, 560, 561, 563, 565, 566, 567, 568, 574, 575, 576, 578, 584, 585, 592 }

2.1.4 Maxima

A grade: { 3, 4, 13, 14, 15, 16, 17, 18, 31, 32, 33, 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, 113, 114, 115, 116, 117, 118, 154, 163, 164, 236, 256, 261, 262, 263, 264, 266, 267, 268, 269, 271, 272, 273, 274, 275, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 355, 364, 365, 419, 425, 426, 427, 428, 429, 430, 434, 435, 436, 437, 438, 439, 440, 442, 443, 444, 445, 446, 447, 448, 457, 458, 464, 465, 466, 467, 468, 469, 478, 479, 564, 569, 570, 571, 572, 573, 577, 578, 581, 582, 583, 586, 587, 588, 589, 590

B grade: { 5, 6, 34, 119, 120, 121, 265, 270, 276, 277, 441, 462, 463, 473, 474, 475, 476, 477, 483, 484, 485, 486, 487 }

C grade: { }

F grade: { 1, 2, 7, 8, 9, 10, 11, 12, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 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, 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, 155, 156, 157, 158, 159, 160, 161, 162, 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, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 257, 258, 259, 260, 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, 356, 357, 358, 359, 360, 361, 362, 363, 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, 420, 421, 422, 423, 424, 431, 432, 433, 449, 450, 451, 452, 453, 454, 455, 456, 459, 460, 461, 470, 471, 472, 480, 481, 482, 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, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 565, 566, 567, 568, 574, 575, 576, 579, 580, 584, 585, 591, 592, 593, 594 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 5, 6, 13, 14, 15, 17, 18, 29, 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, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 97, 100, 116, 117, 118, 120, 121, 122, 125, 126, 132, 133, 136, 137, 147, 154, 163, 256, 261, 262, 263, 264, 266, 267, 268, 269, 271, 272, 273, 274, 275, 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, 310, 312, 317, 319, 324, 328, 334, 338, 339, 355, 364, 365, 385, 419, 425, 426, 427, 428, 429, 430, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 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, 499, 500, 501, 502, 503, 504, 510, 511, 512, 513, 514, 515, 521, 555, 558, 559, 560, 564, 569, 570, 571, 572, 573, 577, 578, 579, 580, 581, 582, 583, 586, 587, 588, 589, 590 }

B grade: { 4, 16, 67, 84, 89, 90, 91, 92, 93, 94, 95, 96, 98, 99, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 119, 123, 124, 134, 135, 144, 145, 146, 153, 155, 156, 162, 164, 165, 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, 265, 270, 276, 277, 309, 311, 313, 314, 315, 316, 318, 320, 321, 322, 323, 325, 326, 327, 335, 336, 337, 345, 346, 347, 348, 354, 356, 357, 363, 366, 395, 396, 404, 405, 406, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 522, 523, 524, 525, 526, 532, 533, 534, 535, 536, 537, 556, 557 }

C grade: { 383, 386, 387, 397 }

F grade: { 7, 8, 9, 10, 11, 12, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 127, 128, 129, 130, 131, 138, 139, 140, 141, 142, 143, 148, 149, 150, 151, 152, 157, 158, 159, 160, 161, 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, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 257, 258, 259, 260, 329, 330, 331, 332, 333, 340, 341, 342, 343, 344, 349, 350, 351, 352, 353, 358, 359, 360, 361, 362, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 384, 388, 389, 390, 391, 392, 393, 394, 398, 399, 400, 401, 402, 403, 407, 420, 421, 422, 423, 424, 431, 432, 433, 494, 495, 496, 497, 498, 505, 506, 507, 508, 509, 516, 517, 518, 519, 520, 527, 528, 529, 530, 531, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 561, 562, 563, 565, 566, 567, 568, 574, 575, 576, 584, 585, 591, 592, 593, 594 }

2.1.6 Sympy

A grade: { 3, 29, 31, 35, 36, 37, 38, 42, 43, 44, 45, 50, 51, 52, 55, 56, 57, 58, 64, 65, 68, 69, 70, 74, 89, 269, 281, 285, 286, 287, 288, 293, 294, 295, 307, 319, 385, 407, 577 }

B grade: { 32, 33, 34, 61, 62, 75, 76, 77, 261, 262, 263, 264, 265, 267, 268, 274, 275, 276, 277, 279, 280, 282 }

C grade: { }

F grade: { 1, 2, 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, 30, 39, 40, 41, 46, 47, 48, 49, 53, 54, 59, 60, 63, 66, 67, 71, 72, 73, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 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, 266, 270, 271, 272, 273, 278, 283, 284, 289, 290, 291, 292, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 308, 309, 310, 311, 312, 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, 383, 384, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 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, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 6, 13, 14, 15, 31, 32, 33, 34, 37, 38, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 68, 69, 70, 72, 73, 74, 75, 76, 77, 80, 81, 85, 86, 87, 90, 91, 92, 93, 96, 97, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 120, 122, 123, 132, 133, 144, 145, 153, 154, 261, 262, 263, 264, 266, 267, 268, 271, 272, 273, 274, 275, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 290, 291, 292, 293, 294, 295, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 314, 315, 316, 317, 318, 319, 320, 321, 324, 325, 334, 335, 345, 346, 354, 355, 364, 365, 383, 384, 385, 386, 387, 393, 394, 395, 396, 397, 398, 400, 401, 402, 403, 419, 425, 426, 427, 428, 429, 430, 434, 435, 438, 439, 440, 445, 446, 452, 453, 454, 458, 460, 465, 466, 467, 468, 469, 471, 476, 477, 479, 481, 484, 487, 491, 502, 513, 524, 535, 552, 553, 554, 558, 564, 569, 570, 571, 572, 573, 577, 578, 581, 582, 583, 586, 587, 588, 589, 590 }

B grade: { 29, 35, 36, 39, 40, 41, 50, 53, 54, 66, 67, 71, 78, 79, 82, 83, 84, 88, 89, 94, 95, 98, 99, 112, 116, 117, 118, 121, 163, 164, 236, 256, 265, 269, 270, 276, 277, 289, 296, 310, 311, 312, 313, 322, 323, 404, 405, 406, 407, 408, 409, 410, 441, 442, 443, 444, 447, 448, 449, 450, 451, 455, 456, 457, 459, 461, 462, 463, 464, 470, 472, 473, 474, 475, 480, 482, 485, 486, 512 }

C grade: { }

F grade: { 7, 8, 9, 10, 11, 12, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 119, 124, 125, 126, 127, 128, 129, 130, 131, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 146, 147, 148, 149, 150, 151, 152, 155, 156, 157, 158, 159, 160, 161, 162, 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, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 257, 258, 259, 260, 326, 327, 328, 329, 330, 331, 332, 333, 336, 337, 338, 339, 340, 341, 342, 343, 344, 347, 348, 349, 350, 351, 352, 353, 356, 357, 358, 359, 360, 361, 362, 363, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 388, 389, 390, 391, 392, 399, 411, 412, 413, 414, 415, 416, 417, 418, 420, 421, 422, 423, 424, 431, 432, 433, 436, 437, 478, 483, 488, 489, 490, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 503, 504, 505, 506, 507, 508, 509, 510, 511, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 555, 556, 557, 559, 560, 561, 562, 563, 565, 566, 567, 568, 574, 575, 576, 579, 580, 584, 585, 591, 592, 593, 594 }

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 F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 36 32 0 117 0 61
normalized size 1 1. 0.68 0.6 0. 2.21 0. 1.15
time (sec) N/A 0.029 0.033 0.632 0. 1.625 0. 1.164


















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 26 24 0 81 0 32
normalized size 1 1. 0.76 0.71 0. 2.38 0. 0.94
time (sec) N/A 0.019 0.038 0.628 0. 1.558 0. 1.223


















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 14 14 14 16 18 51 20 23
normalized size 1 1. 1. 1.14 1.29 3.64 1.43 1.64
time (sec) N/A 0.01 0.004 0.294 1.424 1.578 0.72 1.242


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 30 49 35 193 0 20
normalized size 1 1. 1.76 2.88 2.06 11.35 0. 1.18
time (sec) N/A 0.011 0.015 0.599 1.599 1.716 0. 1.23


















Problem 5 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 42 42 55 70 424 158 0 82
normalized size 1 1. 1.31 1.67 10.1 3.76 0. 1.95
time (sec) N/A 0.024 0.058 1.116 1.644 1.665 0. 1.277


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 77 89 1257 221 0 108
normalized size 1 1. 1.26 1.46 20.61 3.62 0. 1.77
time (sec) N/A 0.03 0.195 1.156 2.559 1.701 0. 1.3


















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 65 149 0 0 0 0
normalized size 1 1. 0.53 1.21 0. 0. 0. 0.
time (sec) N/A 0.041 0.189 0.224 0. 0. 0. 0.


















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 54 337 0 0 0 0
normalized size 1 1. 0.74 4.62 0. 0. 0. 0.
time (sec) N/A 0.025 0.1 0.213 0. 0. 0. 0.


















Problem 9 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 50 50 41 118 0 0 0 0
normalized size 1 1. 0.82 2.36 0. 0. 0. 0.
time (sec) N/A 0.018 0.031 0.271 0. 0. 0. 0.


















Problem 10 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 48 48 37 330 0 0 0 0
normalized size 1 1. 0.77 6.88 0. 0. 0. 0.
time (sec) N/A 0.017 0.027 0.257 0. 0. 0. 0.


















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 48 360 0 0 0 0
normalized size 1 1. 0.62 4.68 0. 0. 0. 0.
time (sec) N/A 0.025 0.068 0.283 0. 0. 0. 0.


















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 60 1301 0 0 0 0
normalized size 1 1. 0.49 10.58 0. 0. 0. 0.
time (sec) N/A 0.042 0.208 0.248 0. 0. 0. 0.


















Problem 13 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 132 132 53 57 115 238 0 77
normalized size 1 1. 0.4 0.43 0.87 1.8 0. 0.58
time (sec) N/A 0.044 0.165 0.292 1.448 1.801 0. 1.108


















Problem 14 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 78 78 38 41 74 163 0 36
normalized size 1 1. 0.49 0.53 0.95 2.09 0. 0.46
time (sec) N/A 0.028 0.095 0.144 1.437 1.77 0. 1.102


















Problem 15 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 36 36 25 27 30 103 0 20
normalized size 1 1. 0.69 0.75 0.83 2.86 0. 0.56
time (sec) N/A 0.013 0.016 0.158 1.441 1.67 0. 1.1


















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 15 12 95 0 0
normalized size 1 1. 1. 0.94 0.75 5.94 0. 0.
time (sec) N/A 0.014 0.007 0.159 1.451 1.548 0. 0.


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 34 29 31 196 0 0
normalized size 1 1. 0.5 0.43 0.46 2.88 0. 0.
time (sec) N/A 0.02 0.033 0.119 1.448 1.621 0. 0.


















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 47 41 47 294 0 0
normalized size 1 1. 0.4 0.35 0.4 2.49 0. 0.
time (sec) N/A 0.028 0.05 0.16 1.449 1.629 0. 0.


















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 74 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.179 0.468 0. 0. 0. 0.


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 72 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.118 0.19 0. 0. 0. 0.


















Problem 21 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 74 74 68 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.036 0.072 0.213 0. 0. 0. 0.


















Problem 22 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 80 80 72 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.075 0.192 0. 0. 0. 0.


















Problem 23 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 89 89 71 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.041 0.109 0.181 0. 0. 0. 0.


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F(-2) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 73 0 0 0 0 0
normalized size 1 1. 0.82 0. 0. 0. 0. 0.
time (sec) N/A 0.041 0.134 0.184 0. 0. 0. 0.


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 71 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.035 0.064 0.312 0. 0. 0. 0.


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 61 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.033 0.078 0.796 0. 0. 0. 0.


















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 67 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.035 0.084 0.829 0. 0. 0. 0.


















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 65 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.033 0.089 0.917 0. 0. 0. 0.


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 0 0 34 61 518
normalized size 1 1. 1. 0. 0. 1.36 2.44 20.72
time (sec) N/A 0.019 0.034 0.292 0. 1.643 6.304 8.92


















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 73 0 0 0 0 0
normalized size 1 1. 0.92 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.057 0.333 0. 0. 0. 0.


















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 16 16 16 18 23 42 15 23
normalized size 1 1. 1. 1.12 1.44 2.62 0.94 1.44
time (sec) N/A 0.009 0.003 0.019 0.978 1.649 0.156 1.142


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 26 43 54 76 110 34
normalized size 1 1. 0.79 1.3 1.64 2.3 3.33 1.03
time (sec) N/A 0.026 0.003 0.021 0.949 1.646 1.066 1.125


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 34 72 93 104 233 46
normalized size 1 1. 0.74 1.57 2.02 2.26 5.07 1.
time (sec) N/A 0.032 0.003 0.02 0.95 1.621 4.281 1.121


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 42 105 140 135 376 58
normalized size 1 1. 0.71 1.78 2.37 2.29 6.37 0.98
time (sec) N/A 0.042 0.003 0.02 0.958 1.746 13.81 1.138


















Problem 35 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 62 62 58 45 68 113 314 201
normalized size 1 1. 0.94 0.73 1.1 1.82 5.06 3.24
time (sec) N/A 0.087 0.064 0.042 0.967 1.604 125.581 1.164


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 43 35 54 88 143 142
normalized size 1 1. 0.93 0.76 1.17 1.91 3.11 3.09
time (sec) N/A 0.08 0.044 0.04 0.941 1.861 42.933 1.182


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 25 23 36 55 36 39
normalized size 1 1. 0.93 0.85 1.33 2.04 1.33 1.44
time (sec) N/A 0.065 0.033 0.04 0.949 1.911 15.002 1.103


















Problem 38 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 13 13 13 16 20 30 34 20
normalized size 1 1. 1. 1.23 1.54 2.31 2.62 1.54
time (sec) N/A 0.034 0.013 0.03 0.949 1.654 3.187 1.117


















Problem 39 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 29 29 46 51 62 157 0 84
normalized size 1 1. 1.59 1.76 2.14 5.41 0. 2.9
time (sec) N/A 0.058 0.043 0.06 0.949 1.627 0. 1.167


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 146 87 95 266 0 201
normalized size 1 1. 2.52 1.5 1.64 4.59 0. 3.47
time (sec) N/A 0.096 0.265 0.077 0.968 1.84 0. 1.193


















Problem 41 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 82 82 132 123 122 382 0 244
normalized size 1 1. 1.61 1.5 1.49 4.66 0. 2.98
time (sec) N/A 0.095 4.472 0.08 0.964 1.799 0. 1.21


















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 73 73 44 84 97 140 1161 85
normalized size 1 1. 0.6 1.15 1.33 1.92 15.9 1.16
time (sec) N/A 0.09 0.189 0.046 1.454 1.641 107.4 1.149


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 34 56 66 111 502 68
normalized size 1 1. 0.69 1.14 1.35 2.27 10.24 1.39
time (sec) N/A 0.082 0.127 0.041 1.433 1.595 39.793 1.165


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 27 30 35 74 100 35
normalized size 1 1. 1.35 1.5 1.75 3.7 5. 1.75
time (sec) N/A 0.063 0.014 0.038 1.428 1.618 7.736 1.175


















Problem 45 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 13 13 13 14 18 45 41 18
normalized size 1 1. 1. 1.08 1.38 3.46 3.15 1.38
time (sec) N/A 0.022 0.006 0.039 0.948 1.6 2.676 1.121


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 16 25 38 77 0 26
normalized size 1 1. 0.57 0.89 1.36 2.75 0. 0.93
time (sec) N/A 0.075 0.027 0.06 0.957 1.581 0. 1.153


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 49 35 57 140 0 57
normalized size 1 1. 1.07 0.76 1.24 3.04 0. 1.24
time (sec) N/A 0.08 0.043 0.075 0.955 1.622 0. 1.182


















Problem 48 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 62 62 70 45 70 200 0 70
normalized size 1 1. 1.13 0.73 1.13 3.23 0. 1.13
time (sec) N/A 0.084 0.037 0.078 0.962 1.573 0. 1.228


















Problem 49 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 65 65 59 47 70 117 0 77
normalized size 1 1. 0.91 0.72 1.08 1.8 0. 1.18
time (sec) N/A 0.084 0.05 0.043 0.945 1.629 0. 1.161


















Problem 50 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 47 47 42 37 55 96 156 143
normalized size 1 1. 0.89 0.79 1.17 2.04 3.32 3.04
time (sec) N/A 0.069 0.037 0.042 0.95 1.628 93.172 1.173


















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 31 29 38 70 309 38
normalized size 1 1. 0.94 0.88 1.15 2.12 9.36 1.15
time (sec) N/A 0.062 0.03 0.04 0.973 1.533 25.345 1.157


















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 17 22 38 156 22
normalized size 1 1. 1. 0.94 1.22 2.11 8.67 1.22
time (sec) N/A 0.042 0.011 0.032 0.952 1.596 19.495 1.158


















Problem 53 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 47 47 61 67 80 198 0 144
normalized size 1 1. 1.3 1.43 1.7 4.21 0. 3.06
time (sec) N/A 0.062 0.041 0.065 0.951 1.691 0. 1.171


















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 208 104 116 312 0 236
normalized size 1 1. 2.67 1.33 1.49 4. 0. 3.03
time (sec) N/A 0.085 0.492 0.086 0.957 1.761 0. 1.219


















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 46 73 86 149 1275 92
normalized size 1 1. 0.67 1.06 1.25 2.16 18.48 1.33
time (sec) N/A 0.082 0.21 0.046 1.467 1.701 144.461 1.167


















Problem 56 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 42 46 50 120 551 59
normalized size 1 1. 1.11 1.21 1.32 3.16 14.5 1.55
time (sec) N/A 0.056 0.014 0.036 1.439 1.588 61.364 1.157


















Problem 57 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 18 18 18 17 22 85 94 22
normalized size 1 1. 1. 0.94 1.22 4.72 5.22 1.22
time (sec) N/A 0.067 0.018 0.033 1.138 1.535 31.774 1.121


















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 26 25 34 86 238 34
normalized size 1 1. 0.81 0.78 1.06 2.69 7.44 1.06
time (sec) N/A 0.025 0.038 0.04 0.956 1.578 13.451 1.129


















Problem 59 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 47 47 50 37 54 113 0 65
normalized size 1 1. 1.06 0.79 1.15 2.4 0. 1.38
time (sec) N/A 0.078 0.039 0.066 0.96 1.551 0. 1.115


















Problem 60 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 65 65 46 47 70 176 0 46
normalized size 1 1. 0.71 0.72 1.08 2.71 0. 0.71
time (sec) N/A 0.081 0.025 0.076 0.956 1.64 0. 1.161


















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 31 20 30 78 362 30
normalized size 1 1. 1.07 0.69 1.03 2.69 12.48 1.03
time (sec) N/A 0.021 0.005 0.03 0.951 1.565 24.013 1.11


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 41 24 38 97 675 38
normalized size 1 1. 1.11 0.65 1.03 2.62 18.24 1.03
time (sec) N/A 0.022 0.005 0.032 0.941 1.894 108.262 1.111


















Problem 63 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 51 51 51 32 46 123 0 46
normalized size 1 1. 1. 0.63 0.9 2.41 0. 0.9
time (sec) N/A 0.026 0.006 0.031 0.958 1.866 0. 1.157


















Problem 64 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 51 51 77 54 58 115 107 90
normalized size 1 1. 1.51 1.06 1.14 2.25 2.1 1.76
time (sec) N/A 0.045 0.029 0.029 0.963 1.927 2.338 1.103


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 54 34 46 69 58 54
normalized size 1 1. 1.74 1.1 1.48 2.23 1.87 1.74
time (sec) N/A 0.022 0.019 0.028 0.937 1.708 0.901 1.13


















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 63 35 51 124 0 78
normalized size 1 1. 2.42 1.35 1.96 4.77 0. 3.
time (sec) N/A 0.025 0.032 0.046 0.949 1.732 0. 1.152


















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 118 63 78 246 0 163
normalized size 1 1. 2.95 1.58 1.95 6.15 0. 4.08
time (sec) N/A 0.031 0.037 0.055 0.936 1.702 0. 1.183


















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 70 86 140 171 258 92
normalized size 1 1. 0.79 0.97 1.57 1.92 2.9 1.03
time (sec) N/A 0.053 0.111 0.029 1.438 1.669 10.697 1.122


















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 45 65 100 119 158 58
normalized size 1 1. 0.74 1.07 1.64 1.95 2.59 0.95
time (sec) N/A 0.04 0.094 0.027 1.435 1.649 2.126 1.12


















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 33 32 39 72 51 34
normalized size 1 1. 1.1 1.07 1.3 2.4 1.7 1.13
time (sec) N/A 0.015 0.028 0.022 0.944 1.575 0.429 1.126


















Problem 71 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 16 16 16 22 31 76 0 53
normalized size 1 1. 1. 1.38 1.94 4.75 0. 3.31
time (sec) N/A 0.023 0.018 0.046 1.427 1.584 0. 1.158


















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 49 35 38 132 0 50
normalized size 1 1. 1.14 0.81 0.88 3.07 0. 1.16
time (sec) N/A 0.036 0.026 0.052 0.95 1.584 0. 1.153


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 95 56 61 208 0 82
normalized size 1 1. 1.46 0.86 0.94 3.2 0. 1.26
time (sec) N/A 0.042 0.028 0.053 0.943 1.611 0. 1.138


















Problem 74 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 19 19 19 17 23 54 15 23
normalized size 1 1. 1. 0.89 1.21 2.84 0.79 1.21
time (sec) N/A 0.009 0.003 0.017 0.943 1.586 0.1 1.133


















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 43 42 53 116 110 57
normalized size 1 1. 0.86 0.84 1.06 2.32 2.2 1.14
time (sec) N/A 0.016 0.058 0.025 0.938 1.627 1.281 1.139


















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 80 73 96 207 246 103
normalized size 1 1. 0.92 0.84 1.1 2.38 2.83 1.18
time (sec) N/A 0.083 0.102 0.024 0.938 1.661 5.622 1.11


















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 113 110 146 323 410 159
normalized size 1 1. 0.81 0.79 1.04 2.31 2.93 1.14
time (sec) N/A 0.167 0.15 0.026 0.956 1.748 18.413 1.104


















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 180 110 0 626 0 448
normalized size 1 1. 1.7 1.04 0. 5.91 0. 4.23
time (sec) N/A 0.113 1.395 0.085 0. 1.856 0. 1.16


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 150 70 0 491 0 234
normalized size 1 1. 1.95 0.91 0. 6.38 0. 3.04
time (sec) N/A 0.092 0.507 0.075 0. 1.873 0. 1.171


















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 125 45 0 381 0 77
normalized size 1 1. 2.4 0.87 0. 7.33 0. 1.48
time (sec) N/A 0.07 0.258 0.069 0. 1.794 0. 1.161


















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 97 29 0 273 0 50
normalized size 1 1. 2.62 0.78 0. 7.38 0. 1.35
time (sec) N/A 0.04 0.157 0.063 0. 1.779 0. 1.126


















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 143 67 0 440 0 135
normalized size 1 1. 2.6 1.22 0. 8. 0. 2.45
time (sec) N/A 0.064 0.309 0.102 0. 1.91 0. 1.132


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 224 142 0 824 0 265
normalized size 1 1. 2.64 1.67 0. 9.69 0. 3.12
time (sec) N/A 0.116 2.31 0.122 0. 1.942 0. 1.21


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 657 255 0 1482 0 451
normalized size 1 1. 5.26 2.04 0. 11.86 0. 3.61
time (sec) N/A 0.188 6.291 0.122 0. 2.114 0. 1.261


















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 133 361 0 1077 0 315
normalized size 1 1. 0.82 2.21 0. 6.61 0. 1.93
time (sec) N/A 0.365 1.195 0.102 0. 1.932 0. 1.178


















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 95 196 0 884 0 212
normalized size 1 1. 0.81 1.68 0. 7.56 0. 1.81
time (sec) N/A 0.224 0.445 0.092 0. 1.926 0. 1.207


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 69 94 0 738 0 154
normalized size 1 1. 0.9 1.22 0. 9.58 0. 2.
time (sec) N/A 0.114 0.31 0.079 0. 1.876 0. 1.198


















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 50 0 617 0 109
normalized size 1 1. 1. 1.09 0. 13.41 0. 2.37
time (sec) N/A 0.075 0.145 0.075 0. 1.859 0. 1.196


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 30 0 568 3907 86
normalized size 1 1. 1. 0.83 0. 15.78 108.53 2.39
time (sec) N/A 0.024 0.078 0.075 0. 1.795 49.856 1.172


















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 53 52 0 748 0 112
normalized size 1 1. 1. 0.98 0. 14.11 0. 2.11
time (sec) N/A 0.073 0.296 0.109 0. 1.784 0. 1.184


















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 119 85 0 1046 0 150
normalized size 1 1. 1.55 1.1 0. 13.58 0. 1.95
time (sec) N/A 0.106 0.655 0.116 0. 1.86 0. 1.151


















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 147 138 0 1400 0 209
normalized size 1 1. 1.35 1.27 0. 12.84 0. 1.92
time (sec) N/A 0.125 1.542 0.123 0. 1.882 0. 1.169


















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 137 207 0 1839 0 290
normalized size 1 1. 0.98 1.48 0. 13.14 0. 2.07
time (sec) N/A 0.156 1.729 0.158 0. 2.018 0. 1.194


















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 194 118 0 1162 0 435
normalized size 1 1. 1.52 0.92 0. 9.08 0. 3.4
time (sec) N/A 0.186 1.574 0.085 0. 2.073 0. 1.182


















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 172 94 0 941 0 462
normalized size 1 1. 1.69 0.92 0. 9.23 0. 4.53
time (sec) N/A 0.146 0.904 0.083 0. 1.972 0. 1.164


















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 160 80 0 721 0 126
normalized size 1 1. 1.93 0.96 0. 8.69 0. 1.52
time (sec) N/A 0.089 0.496 0.081 0. 1.879 0. 1.138


















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 149 68 0 635 0 107
normalized size 1 1. 2.01 0.92 0. 8.58 0. 1.45
time (sec) N/A 0.054 0.274 0.072 0. 1.826 0. 1.132


















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 194 150 0 1081 0 332
normalized size 1 1. 1.88 1.46 0. 10.5 0. 3.22
time (sec) N/A 0.129 0.768 0.116 0. 2.312 0. 1.169


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 390 226 0 1928 0 691
normalized size 1 1. 2.55 1.48 0. 12.6 0. 4.52
time (sec) N/A 0.243 1.636 0.14 0. 2.565 0. 1.231


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 106 187 0 1413 0 301
normalized size 1 1. 0.72 1.26 0. 9.55 0. 2.03
time (sec) N/A 0.292 1.476 0.099 0. 2.035 0. 1.167


















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 93 140 0 1165 0 189
normalized size 1 1. 1. 1.51 0. 12.53 0. 2.03
time (sec) N/A 0.138 0.869 0.086 0. 1.952 0. 1.168


















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 74 77 0 965 0 147
normalized size 1 1. 0.95 0.99 0. 12.37 0. 1.88
time (sec) N/A 0.088 0.517 0.088 0. 1.85 0. 1.128


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 84 119 0 1060 0 153
normalized size 1 1. 0.97 1.37 0. 12.18 0. 1.76
time (sec) N/A 0.063 0.417 0.089 0. 1.883 0. 1.108


















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 130 155 144 0 1330 0 242
normalized size 1 1.02 1.22 1.13 0. 10.47 0. 1.91
time (sec) N/A 0.146 1.157 0.118 0. 1.96 0. 1.209


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 202 179 0 1912 0 235
normalized size 1 1. 1.25 1.1 0. 11.8 0. 1.45
time (sec) N/A 0.203 1.245 0.147 0. 2.07 0. 1.194


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 134 363 0 2175 0 302
normalized size 1 1. 0.91 2.45 0. 14.7 0. 2.04
time (sec) N/A 0.279 2.584 0.096 0. 2.22 0. 1.204


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 97 136 0 1567 0 205
normalized size 1 1. 0.88 1.24 0. 14.25 0. 1.86
time (sec) N/A 0.096 1.249 0.089 0. 1.973 0. 1.176


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 112 278 0 1719 0 258
normalized size 1 1. 0.85 2.12 0. 13.12 0. 1.97
time (sec) N/A 0.149 1.372 0.088 0. 2.186 0. 1.2


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 125 334 0 1883 0 285
normalized size 1 1. 0.87 2.32 0. 13.08 0. 1.98
time (sec) N/A 0.146 1.242 0.093 0. 2.318 0. 1.163


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 196 196 214 367 0 2275 0 313
normalized size 1 1. 1.09 1.87 0. 11.61 0. 1.6
time (sec) N/A 0.255 1.705 0.13 0. 2.244 0. 1.188


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 206 206 201 705 0 3070 0 464
normalized size 1 1. 0.98 3.42 0. 14.9 0. 2.25
time (sec) N/A 0.296 1.398 0.099 0. 2.421 0. 1.125


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 279 279 312 1249 0 4771 0 707
normalized size 1 1. 1.12 4.48 0. 17.1 0. 2.53
time (sec) N/A 0.531 1.892 0.098 0. 2.985 0. 1.162


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 29 33 14 173 0 14
normalized size 1 1. 2.64 3. 1.27 15.73 0. 1.27
time (sec) N/A 0.026 0.064 0.463 1.414 1.634 0. 1.136


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 53 51 34 219 0 34
normalized size 1 1. 1.77 1.7 1.13 7.3 0. 1.13
time (sec) N/A 0.03 0.048 0.938 1.41 1.794 0. 1.197


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 39 57 15 251 0 15
normalized size 1 1. 2.6 3.8 1. 16.73 0. 1.
time (sec) N/A 0.03 0.093 0.797 1.419 1.818 0. 1.305


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 36 32 42 107 0 113
normalized size 1 1. 0.68 0.6 0.79 2.02 0. 2.13
time (sec) N/A 0.054 0.022 0.677 1.617 1.675 0. 1.262


















Problem 117 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 34 34 26 24 23 74 0 77
normalized size 1 1. 0.76 0.71 0.68 2.18 0. 2.26
time (sec) N/A 0.036 0.009 0.541 1.61 1.668 0. 1.217


















Problem 118 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 13 13 13 15 8 43 0 36
normalized size 1 1. 1. 1.15 0.62 3.31 0. 2.77
time (sec) N/A 0.026 0.004 0.392 1.592 1.626 0. 1.145


















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 46 20 51 182 0 0
normalized size 1 1. 2.88 1.25 3.19 11.38 0. 0.
time (sec) N/A 0.031 0.019 0.11 1.58 1.653 0. 0.


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 91 70 410 124 0 59
normalized size 1 1. 2.17 1.67 9.76 2.95 0. 1.4
time (sec) N/A 0.037 0.065 0.994 1.628 1.759 0. 1.232


















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 72 89 1260 151 0 174
normalized size 1 1. 1.18 1.46 20.66 2.48 0. 2.85
time (sec) N/A 0.05 0.152 1.084 2.562 1.763 0. 1.286


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 119 311 0 1214 0 177
normalized size 1 1. 0.95 2.49 0. 9.71 0. 1.42
time (sec) N/A 0.128 0.42 1.677 0. 4.632 0. 1.742


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 93 182 0 1069 0 112
normalized size 1 1. 1.19 2.33 0. 13.71 0. 1.44
time (sec) N/A 0.061 0.253 1.282 0. 2.895 0. 1.736


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 99 174 0 2862 0 0
normalized size 1 1. 1.19 2.1 0. 34.48 0. 0.
time (sec) N/A 0.097 0.116 1.883 0. 3.549 0. 0.


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 100 227 0 849 0 0
normalized size 1 1. 1.19 2.7 0. 10.11 0. 0.
time (sec) N/A 0.1 0.277 1.444 0. 2.258 0. 0.


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 127 379 0 1239 0 0
normalized size 1 1. 0.89 2.65 0. 8.66 0. 0.
time (sec) N/A 0.132 0.518 1.583 0. 3.553 0. 0.


















Problem 127 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 259 259 199 413 0 0 0 0
normalized size 1 1. 0.77 1.59 0. 0. 0. 0.
time (sec) N/A 0.316 1.453 1.037 0. 0. 0. 0.


















Problem 128 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 159 159 159 266 0 0 0 0
normalized size 1 1. 1. 1.67 0. 0. 0. 0.
time (sec) N/A 0.191 0.813 1.19 0. 0. 0. 0.


















Problem 129 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 51 51 61 71 0 0 0 0
normalized size 1 1. 1.2 1.39 0. 0. 0. 0.
time (sec) N/A 0.035 0.087 0.609 0. 0. 0. 0.


















Problem 130 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 174 174 137 156 0 0 0 0
normalized size 1 1. 0.79 0.9 0. 0. 0. 0.
time (sec) N/A 0.163 0.599 1.209 0. 0. 0. 0.


















Problem 131 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 234 234 188 342 0 0 0 0
normalized size 1 1. 0.8 1.46 0. 0. 0. 0.
time (sec) N/A 0.26 3.231 1.098 0. 0. 0. 0.


















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 169 169 152 446 0 1400 0 266
normalized size 1 1. 0.9 2.64 0. 8.28 0. 1.57
time (sec) N/A 0.148 0.754 1.565 0. 12.448 0. 1.736


















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 113 309 0 1208 0 173
normalized size 1 1. 0.99 2.71 0. 10.6 0. 1.52
time (sec) N/A 0.076 0.401 1.507 0. 4.648 0. 1.71


















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 141 255 0 3204 0 0
normalized size 1 1. 1.16 2.09 0. 26.26 0. 0.
time (sec) N/A 0.144 0.899 1.888 0. 5.047 0. 0.


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 147 287 0 3572 0 0
normalized size 1 1. 1.15 2.24 0. 27.91 0. 0.
time (sec) N/A 0.151 1.214 1.911 0. 5.788 0. 0.


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 114 376 0 1216 0 0
normalized size 1 1. 0.89 2.94 0. 9.5 0. 0.
time (sec) N/A 0.125 0.704 1.58 0. 4.333 0. 0.


















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 161 565 0 1773 0 0
normalized size 1 1. 0.82 2.87 0. 9. 0. 0.
time (sec) N/A 0.175 1.26 2.063 0. 10.587 0. 0.


















Problem 138 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 325 325 249 602 0 0 0 0
normalized size 1 1. 0.77 1.85 0. 0. 0. 0.
time (sec) N/A 0.482 2.74 1.324 0. 0. 0. 0.


















Problem 139 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 218 218 201 429 0 0 0 0
normalized size 1 1. 0.92 1.97 0. 0. 0. 0.
time (sec) N/A 0.304 1.38 1.236 0. 0. 0. 0.


















Problem 140 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 154 154 156 266 0 0 0 0
normalized size 1 1. 1.01 1.73 0. 0. 0. 0.
time (sec) N/A 0.164 0.78 1.211 0. 0. 0. 0.


















Problem 141 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 181 181 141 174 0 0 0 0
normalized size 1 1. 0.78 0.96 0. 0. 0. 0.
time (sec) N/A 0.192 1.325 1.124 0. 0. 0. 0.


















Problem 142 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 236 236 201 408 0 0 0 0
normalized size 1 1. 0.85 1.73 0. 0. 0. 0.
time (sec) N/A 0.293 4.505 1.169 0. 0. 0. 0.


















Problem 143 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 210 210 194 437 0 0 0 0
normalized size 1 1. 0.92 2.08 0. 0. 0. 0.
time (sec) N/A 0.282 1.44 1.256 0. 0. 0. 0.


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 105 186 0 1076 0 126
normalized size 1 1. 1.27 2.24 0. 12.96 0. 1.52
time (sec) N/A 0.096 0.279 1.256 0. 2.325 0. 1.838


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 53 99 0 900 0 68
normalized size 1 1. 1.29 2.41 0. 21.95 0. 1.66
time (sec) N/A 0.047 0.113 0.861 0. 1.948 0. 1.769


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 48 112 0 558 0 0
normalized size 1 1. 1.17 2.73 0. 13.61 0. 0.
time (sec) N/A 0.076 0.15 0.875 0. 1.778 0. 0.


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 102 231 0 860 0 0
normalized size 1 1. 1.15 2.6 0. 9.66 0. 0.
time (sec) N/A 0.104 0.31 1.43 0. 2.065 0. 0.


















Problem 148 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 206 206 163 268 0 0 0 0
normalized size 1 1. 0.79 1.3 0. 0. 0. 0.
time (sec) N/A 0.199 0.977 1.089 0. 0. 0. 0.


















Problem 149 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 111 111 78 93 0 0 0 0
normalized size 1 1. 0.7 0.84 0. 0. 0. 0.
time (sec) N/A 0.126 0.221 0.835 0. 0. 0. 0.


















Problem 150 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 51 51 60 60 0 0 0 0
normalized size 1 1. 1.18 1.18 0. 0. 0. 0.
time (sec) N/A 0.033 0.085 0.266 0. 0. 0. 0.


















Problem 151 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 177 177 138 140 0 0 0 0
normalized size 1 1. 0.78 0.79 0. 0. 0. 0.
time (sec) N/A 0.179 0.501 1.098 0. 0. 0. 0.


















Problem 152 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 244 244 195 354 0 0 0 0
normalized size 1 1. 0.8 1.45 0. 0. 0. 0.
time (sec) N/A 0.267 3.929 1.183 0. 0. 0. 0.


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 96 156 0 1339 0 154
normalized size 1 1. 1.22 1.97 0. 16.95 0. 1.95
time (sec) N/A 0.099 0.415 1.646 0. 2.628 0. 1.929


















Problem 154 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 34 34 41 31 43 136 0 72
normalized size 1 1. 1.21 0.91 1.26 4. 0. 2.12
time (sec) N/A 0.045 0.114 0.839 0.945 1.56 0. 1.358


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 93 165 0 1008 0 0
normalized size 1 1. 1.18 2.09 0. 12.76 0. 0.
time (sec) N/A 0.094 0.339 2.155 0. 2.287 0. 0.


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 134 274 0 1474 0 0
normalized size 1 1. 1. 2.04 0. 11. 0. 0.
time (sec) N/A 0.164 0.659 2.581 0. 3.835 0. 0.


















Problem 157 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 274 274 197 405 0 0 0 0
normalized size 1 1. 0.72 1.48 0. 0. 0. 0.
time (sec) N/A 0.314 1.262 1.309 0. 0. 0. 0.


















Problem 158 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 202 202 136 241 0 0 0 0
normalized size 1 1. 0.67 1.19 0. 0. 0. 0.
time (sec) N/A 0.2 0.673 1.25 0. 0. 0. 0.


















Problem 159 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 153 153 138 191 0 0 0 0
normalized size 1 1. 0.9 1.25 0. 0. 0. 0.
time (sec) N/A 0.192 0.443 1.262 0. 0. 0. 0.


















Problem 160 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 101 101 90 103 0 0 0 0
normalized size 1 1. 0.89 1.02 0. 0. 0. 0.
time (sec) N/A 0.057 0.148 1.217 0. 0. 0. 0.


















Problem 161 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 235 235 170 199 0 0 0 0
normalized size 1 1. 0.72 0.85 0. 0. 0. 0.
time (sec) N/A 0.268 1.198 1.267 0. 0. 0. 0.


















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 137 137 133 243 0 2045 0 0
normalized size 1 1. 0.97 1.77 0. 14.93 0. 0.
time (sec) N/A 0.137 0.754 2.746 0. 6.052 0. 0.


















Problem 163 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 81 81 64 56 163 323 0 201
normalized size 1 1. 0.79 0.69 2.01 3.99 0. 2.48
time (sec) N/A 0.095 0.31 1.161 0.994 2.673 0. 1.354


















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 60 55 85 315 0 185
normalized size 1 1. 0.82 0.75 1.16 4.32 0. 2.53
time (sec) N/A 0.058 0.172 1.041 0.959 2.536 0. 1.346


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 127 249 0 1723 0 0
normalized size 1 1. 0.98 1.93 0. 13.36 0. 0.
time (sec) N/A 0.153 0.59 2.726 0. 4.166 0. 0.


















Problem 166 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 285 285 192 698 0 0 0 0
normalized size 1 1. 0.67 2.45 0. 0. 0. 0.
time (sec) N/A 0.332 2.014 1.5 0. 0. 0. 0.


















Problem 167 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 269 269 182 623 0 0 0 0
normalized size 1 1. 0.68 2.32 0. 0. 0. 0.
time (sec) N/A 0.276 1.637 1.527 0. 0. 0. 0.


















Problem 168 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 221 221 174 483 0 0 0 0
normalized size 1 1. 0.79 2.19 0. 0. 0. 0.
time (sec) N/A 0.29 1.461 1.424 0. 0. 0. 0.


















Problem 169 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 223 223 172 547 0 0 0 0
normalized size 1 1. 0.77 2.45 0. 0. 0. 0.
time (sec) N/A 0.256 1.322 1.27 0. 0. 0. 0.


















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 322 322 214 527 0 0 0 0
normalized size 1 1. 0.66 1.64 0. 0. 0. 0.
time (sec) N/A 0.411 2.287 1.819 0. 0. 0. 0.


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 122 122 113 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.116 0.442 1.32 0. 0. 0. 0.


















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 220 220 98 0 0 0 0 0
normalized size 1 1. 0.45 0. 0. 0. 0. 0.
time (sec) N/A 0.225 0.547 1.431 0. 0. 0. 0.


















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 131 131 98 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.11 0.373 2.264 0. 0. 0. 0.


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 74 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.174 1.348 0. 0. 0. 0.


















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 83 83 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.078 4.745 0.892 0. 0. 0. 0.


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 83 83 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.084 6.185 0.895 0. 0. 0. 0.


















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 83 83 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.085 8.754 0.563 0. 0. 0. 0.


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 102 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.103 0.539 1.232 0. 0. 0. 0.


















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 99 99 240 0 0 0 0 0
normalized size 1 1. 2.42 0. 0. 0. 0. 0.
time (sec) N/A 0.166 0.721 1.733 0. 0. 0. 0.


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 97 97 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.104 4.7 0.791 0. 0. 0. 0.


















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 101 101 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.1 6.416 0.605 0. 0. 0. 0.


















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 335 335 219 366 0 0 0 0
normalized size 1 1. 0.65 1.09 0. 0. 0. 0.
time (sec) N/A 0.699 0.488 0.178 0. 0. 0. 0.


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 273 273 255 163 0 0 0 0
normalized size 1 1. 0.93 0.6 0. 0. 0. 0.
time (sec) N/A 0.567 0.278 0.161 0. 0. 0. 0.


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 259 140 106 0 0 0 0
normalized size 1 1. 0.54 0.41 0. 0. 0. 0.
time (sec) N/A 0.458 0.18 0.153 0. 0. 0. 0.


















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 267 267 172 78 0 0 0 0
normalized size 1 1. 0.64 0.29 0. 0. 0. 0.
time (sec) N/A 0.262 0.184 0.156 0. 0. 0. 0.


















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 264 264 264 98 0 0 0 0
normalized size 1 1. 1. 0.37 0. 0. 0. 0.
time (sec) N/A 0.365 0.264 0.188 0. 0. 0. 0.


















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 287 287 181 144 0 0 0 0
normalized size 1 1. 0.63 0.5 0. 0. 0. 0.
time (sec) N/A 0.404 0.396 0.213 0. 0. 0. 0.


















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 344 344 290 217 0 0 0 0
normalized size 1 1. 0.84 0.63 0. 0. 0. 0.
time (sec) N/A 0.478 1.994 0.21 0. 0. 0. 0.


















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 293 293 164 166 0 0 0 0
normalized size 1 1. 0.56 0.57 0. 0. 0. 0.
time (sec) N/A 0.394 0.273 0.161 0. 0. 0. 0.


















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 281 281 186 106 0 0 0 0
normalized size 1 1. 0.66 0.38 0. 0. 0. 0.
time (sec) N/A 0.422 0.257 0.155 0. 0. 0. 0.


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 240 240 231 76 0 0 0 0
normalized size 1 1. 0.96 0.32 0. 0. 0. 0.
time (sec) N/A 0.272 0.184 0.141 0. 0. 0. 0.


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 245 126 83 0 0 0 0
normalized size 1 1. 0.51 0.34 0. 0. 0. 0.
time (sec) N/A 0.261 0.125 0.151 0. 0. 0. 0.


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 281 281 196 119 0 0 0 0
normalized size 1 1. 0.7 0.42 0. 0. 0. 0.
time (sec) N/A 0.429 0.31 0.193 0. 0. 0. 0.


















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 296 296 333 176 0 0 0 0
normalized size 1 1. 1.12 0.59 0. 0. 0. 0.
time (sec) N/A 0.393 2.05 0.207 0. 0. 0. 0.


















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 228 159 0 1758 0 0
normalized size 1 1. 1.29 0.9 0. 9.93 0. 0.
time (sec) N/A 0.252 0.47 0.116 0. 3.01 0. 0.


















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 148 148 310 115 0 1662 0 0
normalized size 1 1. 2.09 0.78 0. 11.23 0. 0.
time (sec) N/A 0.176 0.284 0.09 0. 2.762 0. 0.


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 198 103 0 1592 0 0
normalized size 1 1. 1.43 0.75 0. 11.54 0. 0.
time (sec) N/A 0.179 0.25 0.085 0. 2.916 0. 0.


















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 285 78 0 1435 0 0
normalized size 1 1. 2.48 0.68 0. 12.48 0. 0.
time (sec) N/A 0.117 0.171 0.085 0. 2.416 0. 0.


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 183 90 0 1480 0 0
normalized size 1 1. 1.46 0.72 0. 11.84 0. 0.
time (sec) N/A 0.102 0.162 0.095 0. 2.561 0. 0.


















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 318 120 0 1601 0 0
normalized size 1 1. 2.34 0.88 0. 11.77 0. 0.
time (sec) N/A 0.178 0.25 0.121 0. 3.18 0. 0.


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 242 170 0 1905 0 0
normalized size 1 1. 1.32 0.92 0. 10.35 0. 0.
time (sec) N/A 0.21 0.317 0.132 0. 3.945 0. 0.


















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 229 229 409 232 0 2292 0 0
normalized size 1 1. 1.79 1.01 0. 10.01 0. 0.
time (sec) N/A 0.247 1.126 0.142 0. 4.91 0. 0.


















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 172 605 0 2712 0 0
normalized size 1 1. 0.93 3.29 0. 14.74 0. 0.
time (sec) N/A 0.293 0.892 0.119 0. 3.424 0. 0.


















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 157 551 0 2641 0 0
normalized size 1 1. 1.01 3.55 0. 17.04 0. 0.
time (sec) N/A 0.204 0.806 0.097 0. 3.637 0. 0.


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 143 517 0 2385 0 0
normalized size 1 1. 1.13 4.07 0. 18.78 0. 0.
time (sec) N/A 0.185 0.412 0.095 0. 3.088 0. 0.


















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 137 492 0 2390 0 0
normalized size 1 1. 1.1 3.94 0. 19.12 0. 0.
time (sec) N/A 0.112 0.349 0.096 0. 3.274 0. 0.


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 128 492 0 2388 0 0
normalized size 1 1. 1.11 4.28 0. 20.77 0. 0.
time (sec) N/A 0.09 0.256 0.094 0. 3.062 0. 0.


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 143 518 0 2635 0 0
normalized size 1 1. 1.03 3.73 0. 18.96 0. 0.
time (sec) N/A 0.178 1.043 0.122 0. 3.461 0. 0.


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 165 542 0 2907 0 0
normalized size 1 1. 1.11 3.64 0. 19.51 0. 0.
time (sec) N/A 0.193 1.523 0.138 0. 3.33 0. 0.


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 178 178 174 585 0 3224 0 0
normalized size 1 1. 0.98 3.29 0. 18.11 0. 0.
time (sec) N/A 0.203 4.566 0.137 0. 3.644 0. 0.


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 277 624 0 3502 0 0
normalized size 1 1. 1.41 3.17 0. 17.78 0. 0.
time (sec) N/A 0.235 6.32 0.141 0. 3.474 0. 0.


















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 236 236 486 482 0 5901 0 0
normalized size 1 1. 2.06 2.04 0. 25. 0. 0.
time (sec) N/A 0.48 1.114 0.114 0. 5.969 0. 0.


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 210 210 565 394 0 5509 0 0
normalized size 1 1. 2.69 1.88 0. 26.23 0. 0.
time (sec) N/A 0.335 0.569 0.111 0. 5.102 0. 0.


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 217 217 469 440 0 5237 0 0
normalized size 1 1. 2.16 2.03 0. 24.13 0. 0.
time (sec) N/A 0.264 0.63 0.105 0. 5.035 0. 0.


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-1) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 186 186 345 213 0 4251 0 0
normalized size 1 1. 1.85 1.15 0. 22.85 0. 0.
time (sec) N/A 0.185 0.327 0.109 0. 3.839 0. 0.


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 221 221 469 488 0 4799 0 0
normalized size 1 1. 2.12 2.21 0. 21.71 0. 0.
time (sec) N/A 0.265 0.445 0.146 0. 5.244 0. 0.


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 325 325 600 450 0 6010 0 0
normalized size 1 1. 1.85 1.38 0. 18.49 0. 0.
time (sec) N/A 0.336 0.831 0.147 0. 9.265 0. 0.


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 320 320 262 644 0 8038 0 0
normalized size 1 1. 0.82 2.01 0. 25.12 0. 0.
time (sec) N/A 0.446 4.956 0.125 0. 9.068 0. 0.


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 233 233 238 674 0 6782 0 0
normalized size 1 1. 1.02 2.89 0. 29.11 0. 0.
time (sec) N/A 0.351 2.586 0.119 0. 8.757 0. 0.


















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 225 478 0 5956 0 0
normalized size 1 1. 1.15 2.45 0. 30.54 0. 0.
time (sec) N/A 0.229 4.235 0.108 0. 5.513 0. 0.


















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 255 534 0 7386 0 0
normalized size 1 1. 1.16 2.44 0. 33.73 0. 0.
time (sec) N/A 0.297 2.089 0.127 0. 8.092 0. 0.


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 230 618 0 7862 0 0
normalized size 1 1. 1.1 2.94 0. 37.44 0. 0.
time (sec) N/A 0.26 2.824 0.129 0. 8.202 0. 0.


















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 274 708 0 8411 0 0
normalized size 1 1. 1.16 3. 0. 35.64 0. 0.
time (sec) N/A 0.534 2.16 0.154 0. 10.543 0. 0.


















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 315 315 785 1164 0 10985 0 0
normalized size 1 1. 2.49 3.7 0. 34.87 0. 0.
time (sec) N/A 0.575 1.492 0.145 0. 10.578 0. 0.


















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 290 290 630 814 0 9296 0 0
normalized size 1 1. 2.17 2.81 0. 32.06 0. 0.
time (sec) N/A 0.435 1.139 0.121 0. 7.899 0. 0.


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 313 313 786 1167 0 10311 0 0
normalized size 1 1. 2.51 3.73 0. 32.94 0. 0.
time (sec) N/A 0.472 1.376 0.125 0. 10.201 0. 0.


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 288 288 631 1153 0 9106 0 0
normalized size 1 1. 2.19 4. 0. 31.62 0. 0.
time (sec) N/A 0.498 1.12 0.181 0. 8.154 0. 0.


















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 313 313 784 1281 0 9480 0 0
normalized size 1 1. 2.5 4.09 0. 30.29 0. 0.
time (sec) N/A 0.459 1.243 0.188 0. 10.569 0. 0.


















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 617 617 920 1139 0 12519 0 0
normalized size 1 1. 1.49 1.85 0. 20.29 0. 0.
time (sec) N/A 0.837 4.28 0.182 0. 25.205 0. 0.


















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 319 319 331 1634 0 12051 0 0
normalized size 1 1. 1.04 5.12 0. 37.78 0. 0.
time (sec) N/A 0.53 4.012 0.135 0. 14.083 0. 0.


















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 343 343 350 1909 0 13869 0 0
normalized size 1 1. 1.02 5.57 0. 40.43 0. 0.
time (sec) N/A 0.765 3.856 0.138 0. 21.107 0. 0.


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 313 313 316 1624 0 12400 0 0
normalized size 1 1. 1.01 5.19 0. 39.62 0. 0.
time (sec) N/A 0.695 5.047 0.131 0. 13.617 0. 0.


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 347 347 457 1906 0 15023 0 0
normalized size 1 1. 1.32 5.49 0. 43.29 0. 0.
time (sec) N/A 0.724 6.43 0.145 0. 24.384 0. 0.


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 319 319 333 1803 0 15823 0 0
normalized size 1 1. 1.04 5.65 0. 49.6 0. 0.
time (sec) N/A 0.652 3.124 0.148 0. 24.443 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 357 357 357 1959 0 16077 0 0
normalized size 1 1. 1. 5.49 0. 45.03 0. 0.
time (sec) N/A 1.294 5.277 0.206 0. 26.895 0. 0.


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 45 24 18 23 138 0 69
normalized size 1 1.8 0.96 0.72 0.92 5.52 0. 2.76
time (sec) N/A 0.019 0.053 0.04 1.415 1.996 0. 1.1


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 487 487 148 1677 0 1893 0 0
normalized size 1 1. 0.3 3.44 0. 3.89 0. 0.
time (sec) N/A 1.137 0.3 0.169 0. 3.245 0. 0.


















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 309 309 45 239 0 0 0 0
normalized size 1 1. 0.15 0.77 0. 0. 0. 0.
time (sec) N/A 0.202 0.073 0.151 0. 0. 0. 0.


















Problem 239 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 477 477 47242 439 0 0 0 0
normalized size 1 1. 99.04 0.92 0. 0. 0. 0.
time (sec) N/A 0.388 31.593 0.686 0. 0. 0. 0.


















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 521 521 118912 0 0 0 0 0
normalized size 1 1. 228.24 0. 0. 0. 0. 0.
time (sec) N/A 0.678 31.962 0.81 0. 0. 0. 0.


















Problem 241 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 484 484 47246 837 0 0 0 0
normalized size 1 1. 97.62 1.73 0. 0. 0. 0.
time (sec) N/A 0.426 31.72 0.468 0. 0. 0. 0.


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 431 431 89374 398 0 0 0 0
normalized size 1 1. 207.36 0.92 0. 0. 0. 0.
time (sec) N/A 0.302 31.874 0.525 0. 0. 0. 0.


















Problem 243 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 171 171 13300 163 0 0 0 0
normalized size 1 1. 77.78 0.95 0. 0. 0. 0.
time (sec) N/A 0.105 25.209 0.349 0. 0. 0. 0.


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 469 469 63281 0 0 0 0 0
normalized size 1 1. 134.93 0. 0. 0. 0. 0.
time (sec) N/A 0.434 31.479 0.75 0. 0. 0. 0.


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 776 776 119171 0 0 0 0 0
normalized size 1 1. 153.57 0. 0. 0. 0. 0.
time (sec) N/A 1.043 32.729 0.727 0. 0. 0. 0.


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 499 499 287 881 0 0 0 0
normalized size 1 1. 0.58 1.77 0. 0. 0. 0.
time (sec) N/A 0.665 2.778 4.555 0. 0. 0. 0.


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 304 396 0 0 0 0
normalized size 1 1. 1.88 2.44 0. 0. 0. 0.
time (sec) N/A 0.079 8.404 2.356 0. 0. 0. 0.


















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 493 493 498 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.419 16.219 0.707 0. 0. 0. 0.


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 384 384 149 109 0 0 0 0
normalized size 1 1. 0.39 0.28 0. 0. 0. 0.
time (sec) N/A 0.714 0.212 0.123 0. 0. 0. 0.


















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 148 68 0 0 0 0
normalized size 1 1. 0.87 0.4 0. 0. 0. 0.
time (sec) N/A 0.257 0.221 0.376 0. 0. 0. 0.


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 245 245 174 85 0 0 0 0
normalized size 1 1. 0.71 0.35 0. 0. 0. 0.
time (sec) N/A 0.528 0.266 0.118 0. 0. 0. 0.


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-2) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 379 379 149 109 0 0 0 0
normalized size 1 1. 0.39 0.29 0. 0. 0. 0.
time (sec) N/A 0.477 0.191 0.125 0. 0. 0. 0.


















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 148 71 0 0 0 0
normalized size 1 1. 0.85 0.41 0. 0. 0. 0.
time (sec) N/A 0.26 0.173 0.358 0. 0. 0. 0.


















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 213 213 174 88 0 0 0 0
normalized size 1 1. 0.82 0.41 0. 0. 0. 0.
time (sec) N/A 0.218 0.214 0.114 0. 0. 0. 0.


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 195 195 411 133 0 0 0 0
normalized size 1 1. 2.11 0.68 0. 0. 0. 0.
time (sec) N/A 0.383 0.159 0.079 0. 0. 0. 0.


















Problem 256 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 103 103 79 72 96 466 0 250
normalized size 1 1. 0.77 0.7 0.93 4.52 0. 2.43
time (sec) N/A 0.104 0.165 0.044 1.468 1.886 0. 1.143


















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 218 129 141 71 0 0 0 0
normalized size 1 0.59 0.65 0.33 0. 0. 0. 0.
time (sec) N/A 0.2 0.148 0.066 0. 0. 0. 0.


















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 413 133 0 0 0 0
normalized size 1 1. 2.21 0.71 0. 0. 0. 0.
time (sec) N/A 0.269 0.134 0.082 0. 0. 0. 0.


















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 117 255 0 0 0 0
normalized size 1 1. 1.65 3.59 0. 0. 0. 0.
time (sec) N/A 0.135 0.276 0.139 0. 0. 0. 0.


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 64 255 0 0 0 0
normalized size 1 1. 0.72 2.87 0. 0. 0. 0.
time (sec) N/A 0.077 0.166 0.078 0. 0. 0. 0.


















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 35 26 38 80 580 38
normalized size 1 1. 0.92 0.68 1. 2.11 15.26 1.
time (sec) N/A 0.054 0.004 0.034 0.991 2.459 83.045 1.103


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 27 20 30 61 311 30
normalized size 1 1. 0.93 0.69 1.03 2.1 10.72 1.03
time (sec) N/A 0.052 0.003 0.035 1.043 2.536 35.157 1.141


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 19 14 19 39 124 19
normalized size 1 1. 1.06 0.78 1.06 2.17 6.89 1.06
time (sec) N/A 0.05 0.003 0.033 1.014 2.347 16.336 1.136


















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 7 8 14 15 8
normalized size 1 1. 1. 1.17 1.33 2.33 2.5 1.33
time (sec) N/A 0.043 0.002 0.031 0.983 2.154 6.936 1.139


















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 37 8 28 59 19 31
normalized size 1 1. 5.29 1.14 4. 8.43 2.71 4.43
time (sec) N/A 0.026 0.004 0.028 1.018 1.93 0.431 1.135


















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 61 66 69 143 0 63
normalized size 1 1. 1.74 1.89 1.97 4.09 0. 1.8
time (sec) N/A 0.058 0.121 0.052 0.967 1.944 0. 1.1


















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 26 40 50 62 473 49
normalized size 1 1. 0.79 1.21 1.52 1.88 14.33 1.48
time (sec) N/A 0.055 0.003 0.04 1.505 1.928 30.213 1.096


















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 18 25 28 36 153 32
normalized size 1 1. 0.9 1.25 1.4 1.8 7.65 1.6
time (sec) N/A 0.048 0.003 0.037 1.481 1.829 8.197 1.125


















Problem 269 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 5 5 5 8 7 7 2 19
normalized size 1 1. 1. 1.6 1.4 1.4 0.4 3.8
time (sec) N/A 0.041 0.001 0.033 1.473 1.584 2.113 1.109


















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 45 44 50 113 0 51
normalized size 1 1. 2.05 2. 2.27 5.14 0. 2.32
time (sec) N/A 0.043 0.041 0.046 0.995 1.975 0. 1.12


















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 21 14 19 57 0 19
normalized size 1 1. 1.17 0.78 1.06 3.17 0. 1.06
time (sec) N/A 0.049 0.004 0.042 0.968 1.809 0. 1.168


















Problem 272 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 29 29 31 20 30 76 0 30
normalized size 1 1. 1.07 0.69 1.03 2.62 0. 1.03
time (sec) N/A 0.052 0.004 0.046 0.979 1.832 0. 1.165


















Problem 273 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 29 29 27 20 30 63 0 30
normalized size 1 1. 0.93 0.69 1.03 2.17 0. 1.03
time (sec) N/A 0.046 0.004 0.035 0.962 1.833 0. 1.112


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 19 14 19 42 144 19
normalized size 1 1. 1.06 0.78 1.06 2.33 8. 1.06
time (sec) N/A 0.044 0.003 0.033 0.986 1.822 74.165 1.099


















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 7 8 16 19 8
normalized size 1 1. 1. 1.17 1.33 2.67 3.17 1.33
time (sec) N/A 0.039 0.002 0.03 0.996 1.784 30.179 1.097


















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 37 8 28 62 22 31
normalized size 1 1. 5.29 1.14 4. 8.86 3.14 4.43
time (sec) N/A 0.039 0.004 0.033 0.975 1.922 11.15 1.142


















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 45 44 55 116 117 51
normalized size 1 1. 2.05 2. 2.5 5.27 5.32 2.32
time (sec) N/A 0.032 0.006 0.036 1.002 1.791 1.258 1.11


















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 61 66 77 146 0 63
normalized size 1 1. 1.74 1.89 2.2 4.17 0. 1.8
time (sec) N/A 0.048 0.007 0.049 0.985 1.922 0. 1.117


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 26 40 58 65 549 42
normalized size 1 1. 0.79 1.21 1.76 1.97 16.64 1.27
time (sec) N/A 0.05 0.003 0.039 1.512 1.943 123.222 1.101


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 18 25 34 39 178 30
normalized size 1 1. 0.9 1.25 1.7 1.95 8.9 1.5
time (sec) N/A 0.043 0.003 0.037 1.481 1.825 47.708 1.162


















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 5 5 5 8 7 9 3 7
normalized size 1 1. 1. 1.6 1.4 1.8 0.6 1.4
time (sec) N/A 0.037 0. 0.035 1.449 1.671 19.101 1.097


















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 7 8 28 20 8
normalized size 1 1. 1. 1.17 1.33 4.67 3.33 1.33
time (sec) N/A 0.043 0.002 0.033 0.99 1.852 7.592 1.096


















Problem 283 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 29 29 31 20 30 78 0 30
normalized size 1 1. 1.07 0.69 1.03 2.69 0. 1.03
time (sec) N/A 0.047 0.003 0.043 0.978 1.782 0. 1.114


















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 41 24 38 97 0 38
normalized size 1 1. 1.11 0.65 1.03 2.62 0. 1.03
time (sec) N/A 0.048 0.004 0.047 0.981 1.872 0. 1.129


















Problem 285 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 109 109 87 112 165 205 354 117
normalized size 1 1. 0.8 1.03 1.51 1.88 3.25 1.07
time (sec) N/A 0.065 0.311 0.046 1.455 1.946 13.746 1.137


















Problem 286 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 64 92 131 159 250 90
normalized size 1 1. 0.77 1.11 1.58 1.92 3.01 1.08
time (sec) N/A 0.051 0.149 0.045 1.468 1.938 4.957 1.138


















Problem 287 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 46 70 93 113 150 55
normalized size 1 1. 0.81 1.23 1.63 1.98 2.63 0.96
time (sec) N/A 0.044 0.08 0.046 1.494 1.892 1.835 1.126


















Problem 288 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 30 30 33 32 39 72 51 35
normalized size 1 1. 1.1 1.07 1.3 2.4 1.7 1.17
time (sec) N/A 0.015 0.029 0.02 0.981 1.848 0.363 1.083


















Problem 289 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 18 18 36 30 41 85 0 66
normalized size 1 1. 2. 1.67 2.28 4.72 0. 3.67
time (sec) N/A 0.033 0.015 0.05 1.481 1.755 0. 1.123


















Problem 290 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 30 30 41 46 36 97 0 51
normalized size 1 1. 1.37 1.53 1.2 3.23 0. 1.7
time (sec) N/A 0.032 0.074 0.056 0.979 1.873 0. 1.168


















Problem 291 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 50 50 64 76 58 143 0 86
normalized size 1 1. 1.28 1.52 1.16 2.86 0. 1.72
time (sec) N/A 0.044 0.178 0.06 0.993 1.945 0. 1.136


















Problem 292 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 72 72 86 104 81 189 0 119
normalized size 1 1. 1.19 1.44 1.12 2.62 0. 1.65
time (sec) N/A 0.055 0.309 0.063 0.985 1.891 0. 1.168


















Problem 293 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 96 167 228 278 481 146
normalized size 1 1. 0.62 1.07 1.46 1.78 3.08 0.94
time (sec) N/A 0.15 0.318 0.055 1.472 2.304 18.224 1.15


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 79 134 171 204 314 113
normalized size 1 1. 0.68 1.16 1.47 1.76 2.71 0.97
time (sec) N/A 0.146 0.269 0.05 1.479 1.939 5.989 1.153


















Problem 295 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 58 78 92 143 168 81
normalized size 1 1. 0.81 1.08 1.28 1.99 2.33 1.12
time (sec) N/A 0.02 0.116 0.03 0.973 1.956 1.694 1.108


















Problem 296 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 51 51 48 87 100 159 0 134
normalized size 1 1. 0.94 1.71 1.96 3.12 0. 2.63
time (sec) N/A 0.089 0.319 0.06 1.482 1.852 0. 1.132


















Problem 297 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 45 45 57 76 72 169 0 108
normalized size 1 1. 1.27 1.69 1.6 3.76 0. 2.4
time (sec) N/A 0.062 0.325 0.072 1.472 1.972 0. 1.145


















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 67 101 74 194 0 116
normalized size 1 1. 1.26 1.91 1.4 3.66 0. 2.19
time (sec) N/A 0.057 0.354 0.072 1.005 1.812 0. 1.163


















Problem 299 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 80 80 92 149 109 261 0 171
normalized size 1 1. 1.15 1.86 1.36 3.26 0. 2.14
time (sec) N/A 0.076 0.479 0.075 0.977 1.953 0. 1.152


















Problem 300 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 106 106 107 195 139 316 0 227
normalized size 1 1. 1.01 1.84 1.31 2.98 0. 2.14
time (sec) N/A 0.093 0.506 0.075 0.988 1.904 0. 1.17


















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 109 136 0 566 0 132
normalized size 1 1. 1.4 1.74 0. 7.26 0. 1.69
time (sec) N/A 0.09 0.275 0.043 0. 2.445 0. 1.117


















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 79 202 0 775 0 177
normalized size 1 1. 0.91 2.32 0. 8.91 0. 2.03
time (sec) N/A 0.187 0.189 0.085 0. 2.513 0. 1.116


















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 84 85 0 393 0 78
normalized size 1 1. 1.56 1.57 0. 7.28 0. 1.44
time (sec) N/A 0.073 0.174 0.043 0. 2.303 0. 1.131


















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 55 111 0 617 0 124
normalized size 1 1. 0.93 1.88 0. 10.46 0. 2.1
time (sec) N/A 0.108 0.152 0.079 0. 2.055 0. 1.125


















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 45 0 262 0 41
normalized size 1 1. 1. 1.25 0. 7.28 0. 1.14
time (sec) N/A 0.056 0.023 0.045 0. 2.005 0. 1.112


















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 58 0 508 0 84
normalized size 1 1. 1. 1.49 0. 13.03 0. 2.15
time (sec) N/A 0.06 0.056 0.077 0. 2.172 0. 1.12


















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 17 0 190 87 22
normalized size 1 1. 1. 0.68 0. 7.6 3.48 0.88
time (sec) N/A 0.029 0.007 0.027 0. 2.032 1.637 1.121


















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 96 55 0 308 0 66
normalized size 1 1. 2.4 1.38 0. 7.7 0. 1.65
time (sec) N/A 0.051 0.124 0.055 0. 2.284 0. 1.1


















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 38 0 641 0 61
normalized size 1 1. 1. 0.97 0. 16.44 0. 1.56
time (sec) N/A 0.061 0.08 0.08 0. 2.385 0. 1.126


















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 147 112 0 556 0 138
normalized size 1 1. 2.41 1.84 0. 9.11 0. 2.26
time (sec) N/A 0.087 0.315 0.062 0. 2.81 0. 1.147


















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 59 75 0 834 0 181
normalized size 1 1. 1. 1.27 0. 14.14 0. 3.07
time (sec) N/A 0.081 0.21 0.099 0. 2.158 0. 1.115


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 214 204 0 825 0 239
normalized size 1 1. 2.3 2.19 0. 8.87 0. 2.57
time (sec) N/A 0.145 1.23 0.068 0. 2.969 0. 1.104


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 90 147 0 1098 0 343
normalized size 1 1. 1.03 1.69 0. 12.62 0. 3.94
time (sec) N/A 0.113 0.371 0.089 0. 2.329 0. 1.114


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 90 211 0 1127 0 236
normalized size 1 1. 0.8 1.87 0. 9.97 0. 2.09
time (sec) N/A 0.223 0.294 0.091 0. 2.41 0. 1.122


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 118 120 0 641 0 111
normalized size 1 1. 1.64 1.67 0. 8.9 0. 1.54
time (sec) N/A 0.119 0.328 0.05 0. 2.121 0. 1.126


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 79 132 0 882 0 147
normalized size 1 1. 1.05 1.76 0. 11.76 0. 1.96
time (sec) N/A 0.106 0.312 0.089 0. 2.105 0. 1.114


















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 59 65 0 455 0 76
normalized size 1 1. 1. 1.1 0. 7.71 0. 1.29
time (sec) N/A 0.058 0.065 0.05 0. 2.115 0. 1.112


















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 59 51 0 749 0 104
normalized size 1 1. 1.09 0.94 0. 13.87 0. 1.93
time (sec) N/A 0.056 0.143 0.077 0. 2.198 0. 1.116


















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 48 39 0 381 340 51
normalized size 1 1. 1. 0.81 0. 7.94 7.08 1.06
time (sec) N/A 0.035 0.058 0.035 0. 2.026 31.522 1.155


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 130 122 0 826 0 147
normalized size 1 1. 1.78 1.67 0. 11.32 0. 2.01
time (sec) N/A 0.09 0.561 0.067 0. 2.556 0. 1.106


















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 76 112 0 1152 0 153
normalized size 1 1. 1. 1.47 0. 15.16 0. 2.01
time (sec) N/A 0.124 0.519 0.091 0. 2.319 0. 1.148


















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 183 180 0 1274 0 262
normalized size 1 1. 1.68 1.65 0. 11.69 0. 2.4
time (sec) N/A 0.163 1.012 0.079 0. 3.144 0. 1.141


















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 97 193 0 1481 0 365
normalized size 1 1. 1.01 2.01 0. 15.43 0. 3.8
time (sec) N/A 0.148 0.971 0.102 0. 2.451 0. 1.147


















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 125 155 0 1239 0 130
normalized size 1 1. 1.07 1.32 0. 10.59 0. 1.11
time (sec) N/A 0.118 0.464 1.184 0. 5.15 0. 1.186


















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 96 62 0 1106 0 88
normalized size 1 1. 1.33 0.86 0. 15.36 0. 1.22
time (sec) N/A 0.055 0.271 0.088 0. 2.823 0. 1.189


















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 129 155 0 3027 0 0
normalized size 1 1. 1.57 1.89 0. 36.91 0. 0.
time (sec) N/A 0.092 0.278 3.635 0. 3.976 0. 0.


















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 164 290 0 852 0 0
normalized size 1 1. 2. 3.54 0. 10.39 0. 0.
time (sec) N/A 0.094 2.329 3.897 0. 2.744 0. 0.


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 143 143 669 570 0 1079 0 0
normalized size 1 1. 4.68 3.99 0. 7.55 0. 0.
time (sec) N/A 0.139 14.378 4.52 0. 5.383 0. 0.


















Problem 329 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 220 260 199 432 0 0 0 0
normalized size 1 1.18 0.9 1.96 0. 0. 0. 0.
time (sec) N/A 0.275 1.443 1.106 0. 0. 0. 0.


















Problem 330 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 159 199 158 265 0 0 0 0
normalized size 1 1.25 0.99 1.67 0. 0. 0. 0.
time (sec) N/A 0.184 0.883 1.167 0. 0. 0. 0.


















Problem 331 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 51 51 61 71 0 0 0 0
normalized size 1 1. 1.2 1.39 0. 0. 0. 0.
time (sec) N/A 0.035 0.086 0.635 0. 0. 0. 0.


















Problem 332 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 131 171 134 294 0 0 0 0
normalized size 1 1.31 1.02 2.24 0. 0. 0. 0.
time (sec) N/A 0.165 0.488 1.91 0. 0. 0. 0.


















Problem 333 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 196 236 187 368 0 0 0 0
normalized size 1 1.2 0.95 1.88 0. 0. 0. 0.
time (sec) N/A 0.223 1.889 2.336 0. 0. 0. 0.


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 149 277 0 1393 0 181
normalized size 1 1. 0.95 1.76 0. 8.87 0. 1.15
time (sec) N/A 0.138 0.848 1.391 0. 15.831 0. 1.239


















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 93 90 0 1218 0 113
normalized size 1 1. 0.89 0.87 0. 11.71 0. 1.09
time (sec) N/A 0.069 0.512 0.089 0. 5.08 0. 1.196


















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 233 451 0 3399 0 0
normalized size 1 1. 1.93 3.73 0. 28.09 0. 0.
time (sec) N/A 0.144 0.661 3.106 0. 6.545 0. 0.


















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 210 402 0 3646 0 0
normalized size 1 1. 1.65 3.17 0. 28.71 0. 0.
time (sec) N/A 0.146 0.97 3.408 0. 7.192 0. 0.


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 63 406 0 1014 0 0
normalized size 1 1. 0.52 3.33 0. 8.31 0. 0.
time (sec) N/A 0.121 0.13 2.654 0. 6.284 0. 0.


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 195 195 938 693 0 1310 0 0
normalized size 1 1. 4.81 3.55 0. 6.72 0. 0.
time (sec) N/A 0.176 15.936 3.241 0. 25.533 0. 0.


















Problem 340 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 321 321 247 590 0 0 0 0
normalized size 1 1. 0.77 1.84 0. 0. 0. 0.
time (sec) N/A 0.389 2.6 1.266 0. 0. 0. 0.


















Problem 341 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 259 259 200 429 0 0 0 0
normalized size 1 1. 0.77 1.66 0. 0. 0. 0.
time (sec) N/A 0.285 1.321 1.421 0. 0. 0. 0.


















Problem 342 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 154 154 156 266 0 0 0 0
normalized size 1 1. 1.01 1.73 0. 0. 0. 0.
time (sec) N/A 0.165 0.731 1.099 0. 0. 0. 0.


















Problem 343 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 182 182 144 466 0 0 0 0
normalized size 1 1. 0.79 2.56 0. 0. 0. 0.
time (sec) N/A 0.18 0.84 2.187 0. 0. 0. 0.


















Problem 344 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 236 236 190 375 0 0 0 0
normalized size 1 1. 0.81 1.59 0. 0. 0. 0.
time (sec) N/A 0.256 2.037 2.043 0. 0. 0. 0.


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 79 98 0 1133 0 96
normalized size 1 1. 1. 1.24 0. 14.34 0. 1.22
time (sec) N/A 0.093 0.114 1.06 0. 3. 0. 1.329


















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 34 0 953 0 51
normalized size 1 1. 1. 0.89 0. 25.08 0. 1.34
time (sec) N/A 0.046 0.016 0.088 0. 2.495 0. 1.181


















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 113 0 595 0 0
normalized size 1 1. 1. 2.69 0. 14.17 0. 0.
time (sec) N/A 0.072 0.032 2.483 0. 2.749 0. 0.


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 91 91 436 360 0 906 0 0
normalized size 1 1. 4.79 3.96 0. 9.96 0. 0.
time (sec) N/A 0.111 9.847 2.79 0. 3.271 0. 0.


















Problem 349 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 168 208 170 316 0 0 0 0
normalized size 1 1.24 1.01 1.88 0. 0. 0. 0.
time (sec) N/A 0.194 0.854 1.154 0. 0. 0. 0.


















Problem 350 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 114 153 83 113 0 0 0 0
normalized size 1 1.34 0.73 0.99 0. 0. 0. 0.
time (sec) N/A 0.141 0.2 1.05 0. 0. 0. 0.


















Problem 351 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 51 51 60 60 0 0 0 0
normalized size 1 1. 1.18 1.18 0. 0. 0. 0.
time (sec) N/A 0.035 0.075 0.236 0. 0. 0. 0.


















Problem 352 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 140 180 141 278 0 0 0 0
normalized size 1 1.29 1.01 1.99 0. 0. 0. 0.
time (sec) N/A 0.169 0.609 2.016 0. 0. 0. 0.


















Problem 353 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 212 252 205 405 0 0 0 0
normalized size 1 1.19 0.97 1.91 0. 0. 0. 0.
time (sec) N/A 0.248 2.176 2.41 0. 0. 0. 0.


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 88 90 0 1324 0 96
normalized size 1 1. 1.17 1.2 0. 17.65 0. 1.28
time (sec) N/A 0.1 0.179 0.946 0. 4.05 0. 1.376


















Problem 355 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 29 29 29 28 36 116 0 39
normalized size 1 1. 1. 0.97 1.24 4. 0. 1.34
time (sec) N/A 0.044 0.03 0.085 0.97 2.435 0. 1.367


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 78 78 480 398 0 1068 0 0
normalized size 1 1. 6.15 5.1 0. 13.69 0. 0.
time (sec) N/A 0.101 7.44 3.955 0. 3.166 0. 0.


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 134 134 224 3219 0 1438 0 0
normalized size 1 1. 1.67 24.02 0. 10.73 0. 0.
time (sec) N/A 0.176 7.47 9.885 0. 6.27 0. 0.


















Problem 358 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 274 274 184 415 0 0 0 0
normalized size 1 1. 0.67 1.51 0. 0. 0. 0.
time (sec) N/A 0.29 1.109 1.301 0. 0. 0. 0.


















Problem 359 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 202 202 139 274 0 0 0 0
normalized size 1 1. 0.69 1.36 0. 0. 0. 0.
time (sec) N/A 0.206 0.557 1.103 0. 0. 0. 0.


















Problem 360 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 188 188 133 145 0 0 0 0
normalized size 1 1. 0.71 0.77 0. 0. 0. 0.
time (sec) N/A 0.184 0.302 1.058 0. 0. 0. 0.


















Problem 361 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 101 101 90 103 0 0 0 0
normalized size 1 1. 0.89 1.02 0. 0. 0. 0.
time (sec) N/A 0.06 0.146 1.351 0. 0. 0. 0.


















Problem 362 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 240 240 167 468 0 0 0 0
normalized size 1 1. 0.7 1.95 0. 0. 0. 0.
time (sec) N/A 0.239 1.195 2.345 0. 0. 0. 0.


















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 128 383 0 1828 0 0
normalized size 1 1. 0.98 2.95 0. 14.06 0. 0.
time (sec) N/A 0.135 0.81 3.361 0. 12.556 0. 0.


















Problem 364 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 73 73 51 120 144 250 0 78
normalized size 1 1. 0.7 1.64 1.97 3.42 0. 1.07
time (sec) N/A 0.092 0.107 3.362 0.975 4.283 0. 1.39


















Problem 365 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 65 65 47 56 74 243 0 65
normalized size 1 1. 0.72 0.86 1.14 3.74 0. 1.
time (sec) N/A 0.055 0.047 0.087 0.978 3.646 0. 1.352


















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 126 126 1291 899 0 1752 0 0
normalized size 1 1. 10.25 7.13 0. 13.9 0. 0.
time (sec) N/A 0.159 9.315 4.599 0. 6.394 0. 0.


















Problem 367 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 243 283 194 712 0 0 0 0
normalized size 1 1.16 0.8 2.93 0. 0. 0. 0.
time (sec) N/A 0.31 2.086 1.57 0. 0. 0. 0.


















Problem 368 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 223 263 171 485 0 0 0 0
normalized size 1 1.18 0.77 2.17 0. 0. 0. 0.
time (sec) N/A 0.283 1.388 1.336 0. 0. 0. 0.


















Problem 369 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 217 257 175 549 0 0 0 0
normalized size 1 1.18 0.81 2.53 0. 0. 0. 0.
time (sec) N/A 0.242 1.421 1.753 0. 0. 0. 0.


















Problem 370 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 223 223 172 547 0 0 0 0
normalized size 1 1. 0.77 2.45 0. 0. 0. 0.
time (sec) N/A 0.266 1.225 1.664 0. 0. 0. 0.


















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 288 328 245 1082 0 0 0 0
normalized size 1 1.14 0.85 3.76 0. 0. 0. 0.
time (sec) N/A 0.357 3.3 2.833 0. 0. 0. 0.


















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 115 115 228 0 0 0 0 0
normalized size 1 1. 1.98 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.833 1.342 0. 0. 0. 0.


















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 214 214 191 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.209 0.403 1.368 0. 0. 0. 0.


















Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 119 120 0 0 0 0 0
normalized size 1 0.96 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.104 0.194 2.313 0. 0. 0. 0.


















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 67 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 0.027 1.371 0. 0. 0. 0.


















Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 76 76 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.074 4.417 0.878 0. 0. 0. 0.


















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 76 76 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.082 6.208 0.901 0. 0. 0. 0.


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 90 90 199 0 0 0 0 0
normalized size 1 1. 2.21 0. 0. 0. 0. 0.
time (sec) N/A 0.082 0.616 1.292 0. 0. 0. 0.


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 90 90 195 0 0 0 0 0
normalized size 1 1. 2.17 0. 0. 0. 0. 0.
time (sec) N/A 0.082 0.507 1.817 0. 0. 0. 0.


















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 90 90 145 0 0 0 0 0
normalized size 1 1. 1.61 0. 0. 0. 0. 0.
time (sec) N/A 0.052 0.522 0.546 0. 0. 0. 0.


















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 90 90 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.08 4.372 0.786 0. 0. 0. 0.


















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 90 90 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.081 5.663 0.639 0. 0. 0. 0.


















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 203 278 0 7471 0 298
normalized size 1 1. 0.93 1.27 0. 34.11 0. 1.36
time (sec) N/A 0.29 0.243 0.101 0. 12.522 0. 1.197


















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 139 141 0 0 0 211
normalized size 1 1. 0.83 0.84 0. 0. 0. 1.26
time (sec) N/A 0.148 0.136 0.099 0. 0. 0. 1.141


















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 116 120 0 1018 260 185
normalized size 1 1. 0.81 0.83 0. 7.07 1.81 1.28
time (sec) N/A 0.1 0.056 0.047 0. 2.841 15.964 1.131


















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 290 290 268 374 0 9420 0 417
normalized size 1 1. 0.92 1.29 0. 32.48 0. 1.44
time (sec) N/A 0.329 0.213 0.128 0. 14.505 0. 1.18


















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 385 385 333 668 0 20282 0 689
normalized size 1 1. 0.86 1.74 0. 52.68 0. 1.79
time (sec) N/A 0.504 2.323 0.146 0. 25.194 0. 1.23


















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-1) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 764 764 300 123 0 0 0 0
normalized size 1 1. 0.39 0.16 0. 0. 0. 0.
time (sec) N/A 1.53 0.142 0.214 0. 0. 0. 0.


















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 484 484 231 83 0 0 0 0
normalized size 1 1. 0.48 0.17 0. 0. 0. 0.
time (sec) N/A 0.634 0.101 0.191 0. 0. 0. 0.


















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 245 126 83 0 0 0 0
normalized size 1 1. 0.51 0.34 0. 0. 0. 0.
time (sec) N/A 0.251 0.158 0.161 0. 0. 0. 0.


















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F C C F(-1) F(-1) F(-1) F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 299 0 432 164 0 0 0 0
normalized size 1 0. 1.44 0.55 0. 0. 0. 0.
time (sec) N/A 0.045 0.253 0.213 0. 0. 0. 0.


















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F C C F(-1) F(-1) F(-1) F
verified N/A N/A NO TBD TBD TBD TBD TBD
size 1093 0 679 346 0 0 0 0
normalized size 1 0. 0.62 0.32 0. 0. 0. 0.
time (sec) N/A 0.046 1.691 0.241 0. 0. 0. 0.


















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 288 288 402 490 0 0 0 374
normalized size 1 1. 1.4 1.7 0. 0. 0. 1.3
time (sec) N/A 0.335 3.598 0.145 0. 0. 0. 1.236


















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 238 238 258 327 0 0 0 308
normalized size 1 1. 1.08 1.37 0. 0. 0. 1.29
time (sec) N/A 0.225 1.037 0.145 0. 0. 0. 1.195


















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 184 179 0 1609 0 228
normalized size 1 1. 1.01 0.98 0. 8.79 0. 1.25
time (sec) N/A 0.162 0.842 0.141 0. 2.707 0. 1.189


















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 152 157 0 1588 0 219
normalized size 1 1. 0.86 0.89 0. 9.02 0. 1.24
time (sec) N/A 0.115 0.475 0.064 0. 2.737 0. 1.229


















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 587 587 503 934 0 22565 0 760
normalized size 1 1. 0.86 1.59 0. 38.44 0. 1.29
time (sec) N/A 0.688 4.368 0.182 0. 22.688 0. 1.265


















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 747 747 657 1309 0 0 0 1064
normalized size 1 1. 0.88 1.75 0. 0. 0. 1.42
time (sec) N/A 1.022 6.378 0.208 0. 0. 0. 1.279


















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) F(-1) F(-1) F(-1)
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 25 0 394 550 0 0 0 0
normalized size 1 0. 15.76 22. 0. 0. 0. 0.
time (sec) N/A 0.044 0.352 0.244 0. 0. 0. 0.


















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) F(-1) F(-1) A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 25 0 273 236 0 0 0 0
normalized size 1 0. 10.92 9.44 0. 0. 0. 0.
time (sec) N/A 0.043 0.245 0.247 0. 0. 0. 0.


















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) F(-1) F(-1) A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 16 0 502 658 0 0 0 0
normalized size 1 0. 31.38 41.12 0. 0. 0. 0.
time (sec) N/A 0.012 0.46 0.198 0. 0. 0. 0.


















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) F(-1) F(-1) A
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 25 0 845 1276 0 0 0 0
normalized size 1 0. 33.8 51.04 0. 0. 0. 0.
time (sec) N/A 0.043 1.591 0.269 0. 0. 0. 0.


















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A F(-1) F(-1) F(-1) A
verified N/A N/A NO TBD TBD TBD TBD TBD
size 25 0 1158 1549 0 0 0 0
normalized size 1 0. 46.32 61.96 0. 0. 0. 0.
time (sec) N/A 0.043 1.703 0.323 0. 0. 0. 0.


















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 207 350 0 3235 0 486
normalized size 1 1. 1.58 2.67 0. 24.69 0. 3.71
time (sec) N/A 0.19 0.268 0.084 0. 5.499 0. 6.47


















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 189 252 0 2337 0 420
normalized size 1 1. 1.67 2.23 0. 20.68 0. 3.72
time (sec) N/A 0.162 0.211 0.069 0. 3.874 0. 6.395


















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 160 160 0 1411 0 378
normalized size 1 1. 1.68 1.68 0. 14.85 0. 3.98
time (sec) N/A 0.102 0.082 0.071 0. 2.876 0. 5.905


















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 54 81 0 0 165 302
normalized size 1 1. 0.76 1.14 0. 0. 2.32 4.25
time (sec) N/A 0.067 0.024 0.033 0. 0. 16.052 6.585


















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 184 229 0 2836 0 500
normalized size 1 1. 1.57 1.96 0. 24.24 0. 4.27
time (sec) N/A 0.153 0.182 0.095 0. 4.221 0. 6.212


















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 255 415 0 5469 0 635
normalized size 1 1. 1.46 2.37 0. 31.25 0. 3.63
time (sec) N/A 0.214 1.01 0.108 0. 9.822 0. 5.737


















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 249 249 317 660 0 8404 0 851
normalized size 1 1. 1.27 2.65 0. 33.75 0. 3.42
time (sec) N/A 0.297 5.65 0.119 0. 17.973 0. 6.379


















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 252 252 233 880 0 6926 0 0
normalized size 1 1. 0.92 3.49 0. 27.48 0. 0.
time (sec) N/A 0.44 0.919 0.132 0. 13.998 0. 0.


















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 200 750 0 5565 0 0
normalized size 1 1. 1.08 4.03 0. 29.92 0. 0.
time (sec) N/A 0.326 0.682 0.127 0. 8.867 0. 0.


















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 194 483 0 3996 0 0
normalized size 1 1. 1.25 3.12 0. 25.78 0. 0.
time (sec) N/A 0.286 0.489 0.125 0. 5.907 0. 0.


















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 171 449 0 2688 0 0
normalized size 1 1. 1.35 3.54 0. 21.17 0. 0.
time (sec) N/A 0.235 0.252 0.132 0. 3.918 0. 0.


















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 158 226 0 1277 0 0
normalized size 1 1. 1.26 1.81 0. 10.22 0. 0.
time (sec) N/A 0.109 0.282 0.112 0. 2.765 0. 0.


















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 175 393 0 5536 0 0
normalized size 1 1. 1.23 2.77 0. 38.99 0. 0.
time (sec) N/A 0.232 0.498 0.128 0. 5.377 0. 0.


















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 205 581 0 9225 0 0
normalized size 1 1. 1.27 3.61 0. 57.3 0. 0.
time (sec) N/A 0.348 1.011 0.157 0. 7.969 0. 0.


















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 253 839 0 13045 0 0
normalized size 1 1. 1.24 4.11 0. 63.95 0. 0.
time (sec) N/A 0.378 1.347 0.148 0. 14.173 0. 0.


















Problem 419 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 8.211 1.721 0. 0. 0. 0.


















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 191 141 0 0 0 0 0
normalized size 1 0.97 0.72 0. 0. 0. 0. 0.
time (sec) N/A 0.222 0.147 2.021 0. 0. 0. 0.


















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 106 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.098 0.049 3.415 0. 0. 0. 0.


















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 67 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.016 1.985 0. 0. 0. 0.


















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 158 158 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.15 5.95 1.202 0. 0. 0. 0.


















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 239 239 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.217 8.727 1.212 0. 0. 0. 0.


















Problem 425 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 5.38 1.881 0. 0. 0. 0.


















Problem 426 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.041 17.34 2.797 0. 0. 0. 0.


















Problem 427 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 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.011 1.101 0.727 0. 0. 0. 0.


















Problem 428 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.043 5.737 1.075 0. 0. 0. 0.


















Problem 429 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.041 7.616 0.832 0. 0. 0. 0.


















Problem 430 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 4.369 1.533 0. 0. 0. 0.


















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 226 226 155 0 0 0 0 0
normalized size 1 1. 0.69 0. 0. 0. 0. 0.
time (sec) N/A 0.174 0.218 0.886 0. 0. 0. 0.


















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 114 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.118 0.086 0.757 0. 0. 0. 0.


















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 69 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 0.022 0.7 0. 0. 0. 0.


















Problem 434 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 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 2.844 0.52 0. 0. 0. 0.


















Problem 435 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.051 5.288 0.54 0. 0. 0. 0.


















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) F(-2)
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 0.05 19.306 0.807 0. 0. 0. 0.


















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) F(-2)
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 0.048 11.833 0.701 0. 0. 0. 0.


















Problem 438 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 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.013 1.586 0.463 0. 0. 0. 0.


















Problem 439 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.048 2.631 0.539 0. 0. 0. 0.


















Problem 440 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 3.728 0.557 0. 0. 0. 0.


















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 113 170 369 420 0 814
normalized size 1 1. 0.88 1.33 2.88 3.28 0. 6.36
time (sec) N/A 0.132 0.286 0.086 1.013 4.124 0. 6.97


















Problem 442 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 78 109 215 288 0 531
normalized size 1 1. 0.83 1.16 2.29 3.06 0. 5.65
time (sec) N/A 0.102 0.276 0.085 1.036 2.97 0. 3.145


















Problem 443 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 64 64 52 66 111 193 0 316
normalized size 1 1. 0.81 1.03 1.73 3.02 0. 4.94
time (sec) N/A 0.076 0.093 0.078 1.008 2.259 0. 1.601


















Problem 444 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 43 43 37 47 58 99 0 149
normalized size 1 1. 0.86 1.09 1.35 2.3 0. 3.47
time (sec) N/A 0.039 0.032 0.065 0.984 1.874 0. 1.14


















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 37 50 96 0 51
normalized size 1 1. 1. 0.97 1.32 2.53 0. 1.34
time (sec) N/A 0.043 0.022 0.044 1.019 1.828 0. 1.107


















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 50 161 76 223 0 146
normalized size 1 1. 0.79 2.56 1.21 3.54 0. 2.32
time (sec) N/A 0.075 0.141 0.094 0.986 2.022 0. 1.185


















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 72 302 124 491 0 277
normalized size 1 1. 0.81 3.39 1.39 5.52 0. 3.11
time (sec) N/A 0.089 0.564 0.099 0.998 2.288 0. 1.223


















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 100 489 185 861 0 477
normalized size 1 1. 0.83 4.04 1.53 7.12 0. 3.94
time (sec) N/A 0.112 0.268 0.108 1.011 2.84 0. 1.254


















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 147 252 0 1453 0 637
normalized size 1 1. 1.22 2.1 0. 12.11 0. 5.31
time (sec) N/A 0.125 2.401 0.118 0. 2.286 0. 9.942


















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 111 161 0 1122 0 400
normalized size 1 1. 1.14 1.66 0. 11.57 0. 4.12
time (sec) N/A 0.107 0.785 0.121 0. 2.073 0. 4.582


















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 75 94 0 879 0 221
normalized size 1 1. 1.01 1.27 0. 11.88 0. 2.99
time (sec) N/A 0.098 0.31 0.109 0. 1.911 0. 2.189


















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 53 53 0 728 0 116
normalized size 1 1. 1. 1. 0. 13.74 0. 2.19
time (sec) N/A 0.076 0.129 0.104 0. 1.878 0. 1.354


















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 52 82 0 698 0 115
normalized size 1 1. 1. 1.58 0. 13.42 0. 2.21
time (sec) N/A 0.068 0.183 0.11 0. 1.77 0. 1.133


















Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 72 147 0 973 0 162
normalized size 1 1. 1.01 2.07 0. 13.7 0. 2.28
time (sec) N/A 0.079 0.292 0.121 0. 1.83 0. 1.17


















Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 101 239 0 1413 0 231
normalized size 1 1. 1.05 2.49 0. 14.72 0. 2.41
time (sec) N/A 0.096 0.897 0.126 0. 1.904 0. 1.19


















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 135 342 0 2006 0 321
normalized size 1 1. 1.15 2.92 0. 17.15 0. 2.74
time (sec) N/A 0.112 1.086 0.132 0. 2.043 0. 1.2


















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 64 64 51 48 93 122 0 184
normalized size 1 1. 0.8 0.75 1.45 1.91 0. 2.88
time (sec) N/A 0.11 0.094 2.165 1.015 1.652 0. 2.749


















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 29 35 62 86 0 53
normalized size 1 1. 0.76 0.92 1.63 2.26 0. 1.39
time (sec) N/A 0.105 0.081 2.115 1.003 1.596 0. 1.503


















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 21 0 36 0 53
normalized size 1 1. 1. 1.11 0. 1.89 0. 2.79
time (sec) N/A 0.063 0.04 0.131 0. 1.605 0. 1.134


















Problem 460 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 50 50 55 55 0 146 0 69
normalized size 1 1. 1.1 1.1 0. 2.92 0. 1.38
time (sec) N/A 0.079 0.069 1.521 0. 1.652 0. 1.098


















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 88 83 0 230 0 231
normalized size 1 1. 1.01 0.95 0. 2.64 0. 2.66
time (sec) N/A 0.118 0.432 1.508 0. 1.696 0. 1.243


















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 75 120 2639 232 0 339
normalized size 1 1. 0.62 1. 21.99 1.93 0. 2.82
time (sec) N/A 0.129 0.333 1.229 6.591 1.732 0. 3.916


















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 55 84 1116 204 0 285
normalized size 1 1. 0.6 0.92 12.26 2.24 0. 3.13
time (sec) N/A 0.124 0.195 1.273 1.918 1.685 0. 1.983


















Problem 464 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 57 57 40 54 99 147 0 184
normalized size 1 1. 0.7 0.95 1.74 2.58 0. 3.23
time (sec) N/A 0.103 0.046 1.321 1.699 1.699 0. 1.378


















Problem 465 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 57 57 35 43 57 101 0 122
normalized size 1 1. 0.61 0.75 1. 1.77 0. 2.14
time (sec) N/A 0.112 0.075 0.707 1.487 1.578 0. 1.194


















Problem 466 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 91 91 47 55 77 166 0 178
normalized size 1 1. 0.52 0.6 0.85 1.82 0. 1.96
time (sec) N/A 0.115 0.076 0.624 1.56 1.659 0. 1.24


















Problem 467 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 67 65 92 221 0 235
normalized size 1 1. 0.54 0.52 0.74 1.78 0. 1.9
time (sec) N/A 0.122 0.196 0.803 1.502 1.649 0. 1.24


















Problem 468 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 65 65 43 51 93 127 0 96
normalized size 1 1. 0.66 0.78 1.43 1.95 0. 1.48
time (sec) N/A 0.115 0.081 1.846 1.032 1.611 0. 2.915


















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 42 42 31 41 62 99 0 77
normalized size 1 1. 0.74 0.98 1.48 2.36 0. 1.83
time (sec) N/A 0.107 0.064 1.779 1.029 1.612 0. 1.652


















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 20 0 61 0 55
normalized size 1 1. 1. 1.11 0. 3.39 0. 3.06
time (sec) N/A 0.065 0.027 0.148 0. 1.571 0. 1.218


















Problem 471 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 31 31 49 40 0 208 0 43
normalized size 1 1. 1.58 1.29 0. 6.71 0. 1.39
time (sec) N/A 0.076 0.043 0.797 0. 1.732 0. 1.133


















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 80 69 0 207 0 158
normalized size 1 1. 1.21 1.05 0. 3.14 0. 2.39
time (sec) N/A 0.114 0.176 1.388 0. 1.666 0. 1.343


















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 66 103 2049 208 0 271
normalized size 1 1. 0.73 1.13 22.52 2.29 0. 2.98
time (sec) N/A 0.139 0.13 1.333 2.683 1.758 0. 2.141


















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 43 65 711 173 0 228
normalized size 1 1. 0.69 1.05 11.47 2.79 0. 3.68
time (sec) N/A 0.119 0.045 1.423 1.733 1.685 0. 1.458


















Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 32 122 77 0 90
normalized size 1 1. 1. 1.28 4.88 3.08 0. 3.6
time (sec) N/A 0.102 0.029 0.246 1.72 1.544 0. 1.279


















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 37 44 709 143 0 134
normalized size 1 1. 0.62 0.73 11.82 2.38 0. 2.23
time (sec) N/A 0.117 0.06 0.717 1.709 1.581 0. 1.345


















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 49 54 1669 205 0 173
normalized size 1 1. 0.51 0.56 17.39 2.14 0. 1.8
time (sec) N/A 0.121 0.075 0.714 1.777 1.616 0. 1.405


















Problem 478 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 51 51 93 132 0 0
normalized size 1 1. 0.75 0.75 1.37 1.94 0. 0.
time (sec) N/A 0.127 0.107 1.991 1.035 1.675 0. 0.


















Problem 479 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 44 44 34 41 65 103 0 78
normalized size 1 1. 0.77 0.93 1.48 2.34 0. 1.77
time (sec) N/A 0.119 0.111 1.908 1.034 1.591 0. 1.306


















Problem 480 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 21 0 69 0 49
normalized size 1 1. 1. 1. 0. 3.29 0. 2.33
time (sec) N/A 0.074 0.03 0.119 0. 1.562 0. 1.25


















Problem 481 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 53 53 55 75 0 155 0 80
normalized size 1 1. 1.04 1.42 0. 2.92 0. 1.51
time (sec) N/A 0.092 0.067 2.359 0. 1.686 0. 1.127


















Problem 482 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 82 69 0 212 0 174
normalized size 1 1. 1.24 1.05 0. 3.21 0. 2.64
time (sec) N/A 0.127 0.172 1.306 0. 1.609 0. 1.358


















Problem 483 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 106 106 59 104 2068 205 0 0
normalized size 1 1. 0.56 0.98 19.51 1.93 0. 0.
time (sec) N/A 0.157 0.095 1.285 2.657 1.716 0. 0.


















Problem 484 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 44 65 297 170 0 95
normalized size 1 1. 0.7 1.03 4.71 2.7 0. 1.51
time (sec) N/A 0.132 0.076 1.17 1.72 1.743 0. 1.309


















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 29 35 516 117 0 153
normalized size 1 1. 0.76 0.92 13.58 3.08 0. 4.03
time (sec) N/A 0.126 0.034 0.528 1.668 1.656 0. 1.379


















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 41 67 1435 185 0 204
normalized size 1 1. 0.53 0.87 18.64 2.4 0. 2.65
time (sec) N/A 0.144 0.093 0.855 1.75 1.686 0. 1.424


















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 51 57 2735 247 0 248
normalized size 1 1. 0.44 0.5 23.78 2.15 0. 2.16
time (sec) N/A 0.152 0.136 0.731 1.823 1.677 0. 1.499


















Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 143 721 0 871 0 0
normalized size 1 1. 0.81 4.07 0. 4.92 0. 0.
time (sec) N/A 0.211 0.6 4.911 0. 8.29 0. 0.


















Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 84 403 0 609 0 0
normalized size 1 1. 0.71 3.42 0. 5.16 0. 0.
time (sec) N/A 0.111 0.399 4.355 0. 4.748 0. 0.


















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 60 134 0 370 0 0
normalized size 1 1. 1.03 2.31 0. 6.38 0. 0.
time (sec) N/A 0.056 0.058 3.81 0. 3.364 0. 0.


















Problem 491 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 54 54 53 61 0 347 0 66
normalized size 1 1. 0.98 1.13 0. 6.43 0. 1.22
time (sec) N/A 0.065 0.047 1.001 0. 6.169 0. 1.099


















Problem 492 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 77 130 0 595 0 0
normalized size 1 1. 0.7 1.18 0. 5.41 0. 0.
time (sec) N/A 0.103 0.199 1.22 0. 8.425 0. 0.


















Problem 493 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 103 230 0 965 0 0
normalized size 1 1. 0.62 1.39 0. 5.85 0. 0.
time (sec) N/A 0.155 0.589 1.502 0. 11.546 0. 0.


















Problem 494 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 234 234 198 380 0 0 0 0
normalized size 1 1. 0.85 1.62 0. 0. 0. 0.
time (sec) N/A 0.277 2.041 2.718 0. 0. 0. 0.


















Problem 495 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 171 171 140 294 0 0 0 0
normalized size 1 1. 0.82 1.72 0. 0. 0. 0.
time (sec) N/A 0.159 0.484 1.994 0. 0. 0. 0.


















Problem 496 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 51 51 61 71 0 0 0 0
normalized size 1 1. 1.2 1.39 0. 0. 0. 0.
time (sec) N/A 0.033 0.085 0.66 0. 0. 0. 0.


















Problem 497 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 174 174 143 156 0 0 0 0
normalized size 1 1. 0.82 0.9 0. 0. 0. 0.
time (sec) N/A 0.172 0.568 1.21 0. 0. 0. 0.


















Problem 498 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 232 232 197 351 0 0 0 0
normalized size 1 1. 0.85 1.51 0. 0. 0. 0.
time (sec) N/A 0.268 3.295 1.322 0. 0. 0. 0.


















Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 160 711 0 953 0 0
normalized size 1 1. 0.73 3.23 0. 4.33 0. 0.
time (sec) N/A 0.258 2.184 3.613 0. 7.071 0. 0.


















Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 116 567 0 672 0 0
normalized size 1 1. 0.78 3.83 0. 4.54 0. 0.
time (sec) N/A 0.136 0.535 3.349 0. 4.529 0. 0.


















Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 79 423 0 478 0 0
normalized size 1 1. 0.94 5.04 0. 5.69 0. 0.
time (sec) N/A 0.078 0.159 2.803 0. 4.042 0. 0.


















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 69 91 0 439 0 96
normalized size 1 1. 0.88 1.17 0. 5.63 0. 1.23
time (sec) N/A 0.079 0.128 1.359 0. 6.375 0. 1.115


















Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 90 179 0 699 0 0
normalized size 1 1. 0.64 1.28 0. 4.99 0. 0.
time (sec) N/A 0.127 0.481 1.432 0. 9.405 0. 0.


















Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 208 208 123 280 0 1089 0 0
normalized size 1 1. 0.59 1.35 0. 5.24 0. 0.
time (sec) N/A 0.192 0.842 1.688 0. 12.947 0. 0.


















Problem 505 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 275 275 211 419 0 0 0 0
normalized size 1 1. 0.77 1.52 0. 0. 0. 0.
time (sec) N/A 0.369 2.874 2.241 0. 0. 0. 0.


















Problem 506 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 222 222 174 515 0 0 0 0
normalized size 1 1. 0.78 2.32 0. 0. 0. 0.
time (sec) N/A 0.231 2.939 2.208 0. 0. 0. 0.


















Problem 507 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 154 154 156 266 0 0 0 0
normalized size 1 1. 1.01 1.73 0. 0. 0. 0.
time (sec) N/A 0.167 0.767 1.317 0. 0. 0. 0.


















Problem 508 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 223 223 173 204 0 0 0 0
normalized size 1 1. 0.78 0.91 0. 0. 0. 0.
time (sec) N/A 0.257 2.266 1.258 0. 0. 0. 0.


















Problem 509 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 276 276 218 419 0 0 0 0
normalized size 1 1. 0.79 1.52 0. 0. 0. 0.
time (sec) N/A 0.351 5.054 1.303 0. 0. 0. 0.


















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 108 644 0 792 0 0
normalized size 1 1. 0.81 4.81 0. 5.91 0. 0.
time (sec) N/A 0.174 0.493 3.356 0. 3.039 0. 0.


















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 77 353 0 563 0 0
normalized size 1 1. 0.95 4.36 0. 6.95 0. 0.
time (sec) N/A 0.098 0.226 2.783 0. 2.533 0. 0.


















Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 38 113 0 286 0 132
normalized size 1 1. 1.06 3.14 0. 7.94 0. 3.67
time (sec) N/A 0.051 0.04 2.641 0. 2.085 0. 1.263


















Problem 513 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 33 33 33 42 0 255 0 42
normalized size 1 1. 1. 1.27 0. 7.73 0. 1.27
time (sec) N/A 0.064 0.036 0.762 0. 2.524 0. 1.094


















Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 71 114 0 537 0 0
normalized size 1 1. 0.95 1.52 0. 7.16 0. 0.
time (sec) N/A 0.09 0.169 1.213 0. 2.733 0. 0.


















Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 101 219 0 923 0 0
normalized size 1 1. 0.8 1.74 0. 7.33 0. 0.
time (sec) N/A 0.129 0.367 1.662 0. 3.086 0. 0.


















Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 246 188 377 0 0 0 0
normalized size 1 1. 0.76 1.53 0. 0. 0. 0.
time (sec) N/A 0.238 2.183 2.59 0. 0. 0. 0.


















Problem 517 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 109 109 100 222 0 0 0 0
normalized size 1 1. 0.92 2.04 0. 0. 0. 0.
time (sec) N/A 0.118 0.393 2.065 0. 0. 0. 0.


















Problem 518 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 51 51 60 60 0 0 0 0
normalized size 1 1. 1.18 1.18 0. 0. 0. 0.
time (sec) N/A 0.034 0.077 0.207 0. 0. 0. 0.


















Problem 519 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 106 106 101 120 0 0 0 0
normalized size 1 1. 0.95 1.13 0. 0. 0. 0.
time (sec) N/A 0.115 0.372 1.09 0. 0. 0. 0.


















Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 240 240 186 351 0 0 0 0
normalized size 1 1. 0.78 1.46 0. 0. 0. 0.
time (sec) N/A 0.268 4.107 1.243 0. 0. 0. 0.


















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 107 3763 0 1345 0 0
normalized size 1 1. 0.6 21.26 0. 7.6 0. 0.
time (sec) N/A 0.229 0.486 12.073 0. 4.167 0. 0.


















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 75 2199 0 1026 0 0
normalized size 1 1. 0.64 18.64 0. 8.69 0. 0.
time (sec) N/A 0.122 0.117 9.714 0. 3.273 0. 0.


















Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 54 1317 0 672 0 0
normalized size 1 1. 0.86 20.9 0. 10.67 0. 0.
time (sec) N/A 0.068 0.071 8.316 0. 2.397 0. 0.


















Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 46 64 0 536 0 77
normalized size 1 1. 0.81 1.12 0. 9.4 0. 1.35
time (sec) N/A 0.076 0.057 1.235 0. 2.543 0. 1.11


















Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 70 159 0 956 0 0
normalized size 1 1. 0.64 1.45 0. 8.69 0. 0.
time (sec) N/A 0.123 0.102 1.547 0. 2.653 0. 0.


















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 94 288 0 1539 0 0
normalized size 1 1. 0.56 1.72 0. 9.22 0. 0.
time (sec) N/A 0.163 0.34 1.669 0. 2.915 0. 0.


















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 292 292 197 368 0 0 0 0
normalized size 1 1. 0.67 1.26 0. 0. 0. 0.
time (sec) N/A 0.315 2.326 2.556 0. 0. 0. 0.


















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 145 278 0 0 0 0
normalized size 1 1. 0.65 1.24 0. 0. 0. 0.
time (sec) N/A 0.226 0.886 2.174 0. 0. 0. 0.


















Problem 529 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 101 101 90 103 0 0 0 0
normalized size 1 1. 0.89 1.02 0. 0. 0. 0.
time (sec) N/A 0.062 0.149 1.346 0. 0. 0. 0.


















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 209 209 142 141 0 0 0 0
normalized size 1 1. 0.68 0.67 0. 0. 0. 0.
time (sec) N/A 0.242 0.764 1.23 0. 0. 0. 0.


















Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 297 297 199 353 0 0 0 0
normalized size 1 1. 0.67 1.19 0. 0. 0. 0.
time (sec) N/A 0.374 4.018 1.395 0. 0. 0. 0.


















Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 218 218 107 2139 0 2287 0 0
normalized size 1 1. 0.49 9.81 0. 10.49 0. 0.
time (sec) N/A 0.277 0.485 7.612 0. 4.639 0. 0.


















Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 76 1256 0 1746 0 0
normalized size 1 1. 0.5 8.21 0. 11.41 0. 0.
time (sec) N/A 0.154 0.118 6.123 0. 3.423 0. 0.


















Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 56 895 0 1226 0 0
normalized size 1 1. 0.62 9.84 0. 13.47 0. 0.
time (sec) N/A 0.085 0.082 5.415 0. 2.623 0. 0.


















Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 49 271 0 911 0 100
normalized size 1 1. 0.59 3.27 0. 10.98 0. 1.2
time (sec) N/A 0.088 0.064 2.888 0. 2.578 0. 1.109


















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 69 1038 0 1540 0 0
normalized size 1 1. 0.48 7.26 0. 10.77 0. 0.
time (sec) N/A 0.137 0.262 4.118 0. 2.777 0. 0.


















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 208 208 117 901 0 2334 0 0
normalized size 1 1. 0.56 4.33 0. 11.22 0. 0.
time (sec) N/A 0.196 0.868 4.849 0. 3.168 0. 0.


















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 348 348 235 666 0 0 0 0
normalized size 1 1. 0.68 1.91 0. 0. 0. 0.
time (sec) N/A 0.426 3.446 3.062 0. 0. 0. 0.


















Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 292 292 199 851 0 0 0 0
normalized size 1 1. 0.68 2.91 0. 0. 0. 0.
time (sec) N/A 0.309 2.695 2.592 0. 0. 0. 0.


















Problem 540 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 223 223 172 547 0 0 0 0
normalized size 1 1. 0.77 2.45 0. 0. 0. 0.
time (sec) N/A 0.259 1.385 1.721 0. 0. 0. 0.


















Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 287 287 209 411 0 0 0 0
normalized size 1 1. 0.73 1.43 0. 0. 0. 0.
time (sec) N/A 0.366 2.704 1.698 0. 0. 0. 0.


















Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-1) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 348 348 226 633 0 0 0 0
normalized size 1 1. 0.65 1.82 0. 0. 0. 0.
time (sec) N/A 0.523 3.116 1.55 0. 0. 0. 0.


















Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 121 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.122 0.502 1.605 0. 0. 0. 0.


















Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 83 0 0 0 0 0
normalized size 1 1. 0.81 0. 0. 0. 0. 0.
time (sec) N/A 0.094 0.236 0.889 0. 0. 0. 0.


















Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 61 0 0 0 0 0
normalized size 1 1. 1.03 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.062 1.234 0. 0. 0. 0.


















Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 54 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 0.059 1.125 0. 0. 0. 0.


















Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 73 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.076 0.445 0.809 0. 0. 0. 0.


















Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 102 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.127 0.539 0.517 0. 0. 0. 0.


















Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 102 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.105 0.289 0.664 0. 0. 0. 0.


















Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 98 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.1 0.198 0.686 0. 0. 0. 0.


















Problem 551 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 102 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.237 0.506 0. 0. 0. 0.


















Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 143 126 0 0 0 194
normalized size 1 1. 0.93 0.82 0. 0. 0. 1.27
time (sec) N/A 0.191 0.297 0.078 0. 0. 0. 1.112


















Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 45 34 0 0 0 51
normalized size 1 1. 1. 0.76 0. 0. 0. 1.13
time (sec) N/A 0.074 0.028 0.48 0. 0. 0. 1.095


















Problem 554 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-2) F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 28 21 0 0 0 32
normalized size 1 1. 1. 0.75 0. 0. 0. 1.14
time (sec) N/A 0.072 0.018 0.115 0. 0. 0. 1.084


















Problem 555 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 55 0 0 514 0 0
normalized size 1 1. 0.93 0. 0. 8.71 0. 0.
time (sec) N/A 0.089 0.054 0.754 0. 2.922 0. 0.


















Problem 556 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-1) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 85 0 0 895 0 0
normalized size 1 1. 0.96 0. 0. 10.06 0. 0.
time (sec) N/A 0.117 0.186 0.72 0. 3.047 0. 0.


















Problem 557 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 51 51 65 72 0 589 0 0
normalized size 1 1. 1.27 1.41 0. 11.55 0. 0.
time (sec) N/A 0.056 0.091 0.203 0. 2.668 0. 0.


















Problem 558 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 35 0 0 369 0 42
normalized size 1 1. 1. 0. 0. 10.54 0. 1.2
time (sec) N/A 0.071 0.025 0.717 0. 2.474 0. 1.145


















Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 66 0 0 640 0 0
normalized size 1 1. 0.94 0. 0. 9.14 0. 0.
time (sec) N/A 0.099 0.082 0.71 0. 2.543 0. 0.


















Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 141 0 0 913 0 0
normalized size 1 1. 1.31 0. 0. 8.45 0. 0.
time (sec) N/A 0.176 2.993 0.736 0. 2.779 0. 0.


















Problem 561 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 411 411 291 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.38 6.074 0.71 0. 0. 0. 0.


















Problem 562 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 304 396 0 0 0 0
normalized size 1 1. 1.88 2.44 0. 0. 0. 0.
time (sec) N/A 0.083 2.787 2.372 0. 0. 0. 0.


















Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 477 477 378 0 0 0 0 0
normalized size 1 1. 0.79 0. 0. 0. 0. 0.
time (sec) N/A 0.366 11.231 0.71 0. 0. 0. 0.


















Problem 564 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.042 5.412 1.996 0. 0. 0. 0.


















Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 279 279 2007 0 0 0 0 0
normalized size 1 1. 7.19 0. 0. 0. 0. 0.
time (sec) N/A 0.294 17.269 1.094 0. 0. 0. 0.


















Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 141 141 466 0 0 0 0 0
normalized size 1 1. 3.3 0. 0. 0. 0. 0.
time (sec) N/A 0.119 8.081 1.684 0. 0. 0. 0.


















Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 54 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.065 0.091 1.563 0. 0. 0. 0.


















Problem 568 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 119 0 0 0 0 0
normalized size 1 1. 0.94 0. 0. 0. 0. 0.
time (sec) N/A 0.102 0.65 1.055 0. 0. 0. 0.


















Problem 569 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.041 3.397 0.656 0. 0. 0. 0.


















Problem 570 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.042 1.591 0.886 0. 0. 0. 0.


















Problem 571 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 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.011 2.182 0.784 0. 0. 0. 0.


















Problem 572 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.041 1.416 0.904 0. 0. 0. 0.


















Problem 573 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.04 2.228 0.632 0. 0. 0. 0.


















Problem 574 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 306 306 3544 0 0 0 0 0
normalized size 1 1. 11.58 0. 0. 0. 0. 0.
time (sec) N/A 0.429 19.974 180. 0. 0. 0. 0.


















Problem 575 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 215 215 2368 0 0 0 0 0
normalized size 1 1. 11.01 0. 0. 0. 0. 0.
time (sec) N/A 0.295 15.447 180. 0. 0. 0. 0.


















Problem 576 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 124 124 1395 0 0 0 0 0
normalized size 1 1. 11.25 0. 0. 0. 0. 0.
time (sec) N/A 0.161 13.521 180. 0. 0. 0. 0.


















Problem 577 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 0.058 2.379 0.75 0. 0. 0. 0.


















Problem 578 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A F A A F(-1) 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 0.058 23.488 180. 0. 0. 0. 0.


















Problem 579 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 45 38 0 252 0 0
normalized size 1 1. 0.96 0.81 0. 5.36 0. 0.
time (sec) N/A 0.081 0.028 0.124 0. 1.949 0. 0.


















Problem 580 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 24 0 190 0 0
normalized size 1 1. 1. 0.83 0. 6.55 0. 0.
time (sec) N/A 0.079 0.017 0.04 0. 1.932 0. 0.


















Problem 581 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.052 3.887 2.234 0. 0. 0. 0.


















Problem 582 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.051 2.764 0.533 0. 0. 0. 0.


















Problem 583 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 23 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 2.489 0.634 0. 0. 0. 0.


















Problem 584 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 55 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.077 0.058 0.624 0. 0. 0. 0.


















Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 129 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.152 1.012 0.56 0. 0. 0. 0.


















Problem 586 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 2.771 0.537 0. 0. 0. 0.


















Problem 587 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.051 2.07 0.519 0. 0. 0. 0.


















Problem 588 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 16 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.013 1.226 0.461 0. 0. 0. 0.


















Problem 589 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 2.006 0.53 0. 0. 0. 0.


















Problem 590 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 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.05 2.728 0.569 0. 0. 0. 0.


















Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 114 102 327 0 0 0 0
normalized size 1 1.07 0.95 3.06 0. 0. 0. 0.
time (sec) N/A 0.181 0.185 0.415 0. 0. 0. 0.


















Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 135 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.211 0.78 3.26 0. 0. 0. 0.


















Problem 593 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F B B F F F F
verified N/A N/A Yes TBD TBD TBD TBD TBD
size 79 0 325 4061599 0 0 0 0
normalized size 1 0. 4.11 51412.7 0. 0. 0. 0.
time (sec) N/A 0.699 1.639 1.51 0. 0. 0. 0.


















Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F C C F F F F
verified N/A N/A NO TBD TBD TBD TBD TBD
size 79 0 529 257865 0 0 0 0
normalized size 1 0. 6.7 3264.11 0. 0. 0. 0.
time (sec) N/A 0.697 1.603 0.871 0. 0. 0. 0.









2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [238] had the largest ratio of [ 0.75 ]

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 4 3 1. 10 0.3







2 A 3 3 1. 10 0.3







3 A 2 2 1. 10 0.2







4 A 2 2 1. 10 0.2







5 A 3 3 1. 10 0.3







6 A 4 3 1. 10 0.3







7 A 6 3 1. 10 0.3







8 A 4 3 1. 10 0.3







9 A 3 3 1. 10 0.3







10 A 3 3 1. 10 0.3







11 A 4 3 1. 10 0.3







12 A 6 3 1. 10 0.3







13 A 7 3 1. 10 0.3







14 A 5 3 1. 10 0.3







15 A 3 3 1. 10 0.3







16 A 3 3 1. 10 0.3







17 A 3 2 1. 10 0.2







18 A 3 2 1. 10 0.2







19 A 2 2 1. 14 0.143







20 A 2 2 1. 14 0.143







21 A 2 2 1. 14 0.143







22 A 2 2 1. 14 0.143







23 A 2 2 1. 14 0.143







24 A 2 2 1. 14 0.143







25 A 2 2 1. 12 0.167







26 A 2 2 1. 12 0.167







27 A 2 2 1. 12 0.167







28 A 2 2 1. 12 0.167







29 A 2 2 1. 14 0.143







30 A 2 2 1. 14 0.143







31 A 3 2 1. 9 0.222







32 A 4 3 1. 11 0.273







33 A 5 3 1. 11 0.273







34 A 6 3 1. 11 0.273







35 A 4 3 1. 24 0.125







36 A 4 3 1. 24 0.125







37 A 4 3 1. 24 0.125







38 A 3 3 1. 22 0.136







39 A 4 4 1. 22 0.182







40 A 5 5 1. 24 0.208







41 A 6 5 1. 24 0.208







42 A 6 5 1. 24 0.208







43 A 5 5 1. 24 0.208







44 A 4 4 1. 24 0.167







45 A 3 3 1. 15 0.2







46 A 4 3 1. 24 0.125







47 A 4 3 1. 24 0.125







48 A 4 3 1. 24 0.125







49 A 4 3 1. 24 0.125







50 A 4 3 1. 24 0.125







51 A 3 2 1. 24 0.083







52 A 3 3 1. 22 0.136







53 A 5 4 1. 22 0.182







54 A 6 5 1. 24 0.208







55 A 6 5 1. 24 0.208







56 A 4 3 1. 24 0.125







57 A 3 3 1. 24 0.125







58 A 3 2 1. 15 0.133







59 A 4 3 1. 24 0.125







60 A 4 3 1. 24 0.125







61 A 3 2 1. 11 0.182







62 A 3 2 1. 11 0.182







63 A 3 2 1. 11 0.182







64 A 3 2 1. 21 0.095







65 A 2 1 1. 19 0.053







66 A 2 2 1. 19 0.105







67 A 2 2 1. 21 0.095







68 A 4 3 1. 21 0.143







69 A 3 3 1. 21 0.143







70 A 3 2 1. 12 0.167







71 A 2 2 1. 21 0.095







72 A 3 3 1. 21 0.143







73 A 3 2 1. 21 0.095







74 A 3 2 1. 8 0.25







75 A 1 1 1. 10 0.1







76 A 2 2 1. 10 0.2







77 A 3 3 1. 10 0.3







78 A 4 3 1. 23 0.13







79 A 4 3 1. 23 0.13







80 A 3 3 1. 23 0.13







81 A 2 2 1. 21 0.095







82 A 4 4 1. 21 0.19







83 A 5 5 1. 23 0.217







84 A 6 6 1. 23 0.261







85 A 7 6 1. 23 0.261







86 A 6 6 1. 23 0.261







87 A 5 5 1. 23 0.217







88 A 3 3 1. 23 0.13







89 A 2 2 1. 14 0.143







90 A 3 3 1. 23 0.13







91 A 4 3 1. 23 0.13







92 A 4 3 1. 23 0.13







93 A 4 3 1. 23 0.13







94 A 5 4 1. 23 0.174







95 A 5 4 1. 23 0.174







96 A 3 3 1. 23 0.13







97 A 3 3 1. 21 0.143







98 A 5 5 1. 21 0.238







99 A 6 6 1. 23 0.261







100 A 6 6 1. 23 0.261







101 A 5 5 1. 23 0.217







102 A 4 4 1. 23 0.174







103 A 4 4 1. 14 0.286







104 A 4 4 1.02 23 0.174







105 A 5 4 1. 23 0.174







106 A 6 6 1. 23 0.261







107 A 4 3 1. 23 0.13







108 A 5 4 1. 23 0.174







109 A 5 5 1. 14 0.357







110 A 5 5 1. 23 0.217







111 A 6 5 1. 14 0.357







112 A 7 5 1. 14 0.357







113 A 2 2 1. 13 0.154







114 A 3 3 1. 13 0.231







115 A 2 2 1. 21 0.095







116 A 5 4 1. 13 0.308







117 A 4 4 1. 13 0.308







118 A 3 3 1. 13 0.231







119 A 3 3 1. 13 0.231







120 A 4 4 1. 13 0.308







121 A 5 4 1. 13 0.308







122 A 5 5 1. 25 0.2







123 A 4 4 1. 23 0.174







124 A 6 6 1. 23 0.261







125 A 4 4 1. 25 0.16







126 A 5 5 1. 25 0.2







127 A 8 8 1. 25 0.32







128 A 6 6 1. 25 0.24







129 A 2 2 1. 16 0.125







130 A 8 8 1. 25 0.32







131 A 8 8 1. 25 0.32







132 A 6 5 1. 25 0.2







133 A 5 4 1. 23 0.174







134 A 7 7 1. 23 0.304







135 A 7 7 1. 25 0.28







136 A 5 4 1. 25 0.16







137 A 6 5 1. 25 0.2







138 A 9 8 1. 25 0.32







139 A 7 6 1. 25 0.24







140 A 6 6 1. 16 0.375







141 A 7 7 1. 25 0.28







142 A 8 8 1. 25 0.32







143 A 7 7 1. 16 0.438







144 A 4 4 1. 25 0.16







145 A 3 3 1. 23 0.13







146 A 3 3 1. 23 0.13







147 A 4 4 1. 25 0.16







148 A 7 7 1. 25 0.28







149 A 5 5 1. 25 0.2







150 A 2 2 1. 16 0.125







151 A 8 8 1. 25 0.32







152 A 8 8 1. 25 0.32







153 A 4 4 1. 25 0.16







154 A 2 2 1. 23 0.087







155 A 4 4 1. 23 0.174







156 A 6 6 1. 25 0.24







157 A 8 8 1. 25 0.32







158 A 7 7 1. 25 0.28







159 A 6 6 1. 25 0.24







160 A 4 4 1. 16 0.25







161 A 8 8 1. 25 0.32







162 A 5 5 1. 25 0.2







163 A 3 3 1. 25 0.12







164 A 3 3 1. 23 0.13







165 A 6 6 1. 23 0.261







166 A 8 8 1. 25 0.32







167 A 8 8 1. 25 0.32







168 A 7 6 1. 25 0.24







169 A 7 7 1. 16 0.438







170 A 9 9 1. 25 0.36







171 A 3 3 1. 25 0.12







172 A 5 5 1. 23 0.217







173 A 4 4 1. 23 0.174







174 A 3 3 1. 21 0.143







175 A 3 3 1. 21 0.143







176 A 3 3 1. 23 0.13







177 A 3 3 1. 23 0.13







178 A 3 3 1. 23 0.13







179 A 3 3 1. 23 0.13







180 A 3 3 1. 23 0.13







181 A 3 3 1. 23 0.13







182 A 17 7 1. 23 0.304







183 A 15 7 1. 23 0.304







184 A 13 5 1. 23 0.217







185 A 11 4 1. 21 0.19







186 A 14 6 1. 21 0.286







187 A 15 7 1. 23 0.304







188 A 18 8 1. 23 0.348







189 A 15 6 1. 23 0.261







190 A 14 5 1. 23 0.217







191 A 11 5 1. 23 0.217







192 A 11 4 1. 14 0.286







193 A 15 6 1. 23 0.261







194 A 16 7 1. 23 0.304







195 A 6 5 1. 24 0.208







196 A 6 5 1. 24 0.208







197 A 6 5 1. 24 0.208







198 A 4 4 1. 24 0.167







199 A 4 4 1. 22 0.182







200 A 7 6 1. 22 0.273







201 A 7 6 1. 24 0.25







202 A 7 6 1. 24 0.25







203 A 12 6 1. 24 0.25







204 A 9 6 1. 24 0.25







205 A 7 5 1. 24 0.208







206 A 4 3 1. 24 0.125







207 A 4 3 1. 15 0.2







208 A 6 4 1. 24 0.167







209 A 6 4 1. 24 0.167







210 A 6 4 1. 24 0.167







211 A 6 4 1. 24 0.167







212 A 7 6 1. 24 0.25







213 A 5 5 1. 24 0.208







214 A 5 5 1. 24 0.208







215 A 5 5 1. 24 0.208







216 A 5 5 1. 22 0.227







217 A 11 7 1. 22 0.318







218 A 14 9 1. 24 0.375







219 A 6 5 1. 24 0.208







220 A 7 6 1. 24 0.25







221 A 5 4 1. 24 0.167







222 A 5 4 1. 15 0.267







223 A 7 5 1. 24 0.208







224 A 6 6 1. 24 0.25







225 A 6 6 1. 24 0.25







226 A 6 6 1. 24 0.25







227 A 6 5 1. 24 0.208







228 A 6 6 1. 22 0.273







229 A 16 7 1. 22 0.318







230 A 9 7 1. 24 0.292







231 A 6 5 1. 24 0.208







232 A 6 5 1. 24 0.208







233 A 6 5 1. 24 0.208







234 A 6 5 1. 15 0.333







235 A 8 6 1. 24 0.25







236 A 3 3 1.8 10 0.3







237 A 10 6 1. 10 0.6







238 A 10 6 1. 8 0.75







239 A 5 5 1. 23 0.217







240 A 8 7 1. 23 0.304







241 A 5 5 1. 25 0.2







242 A 4 4 1. 25 0.16







243 A 2 2 1. 23 0.087







244 A 4 4 1. 23 0.174







245 A 7 7 1. 25 0.28







246 A 4 4 1. 25 0.16







247 A 2 2 1. 16 0.125







248 A 5 5 1. 25 0.2







249 A 17 4 1. 10 0.4







250 A 7 3 1. 10 0.3







251 A 9 3 1. 10 0.3







252 A 17 4 1. 11 0.364







253 A 7 3 1. 11 0.273







254 A 9 3 1. 11 0.273







255 A 15 5 1. 8 0.625







256 A 7 3 1. 8 0.375







257 A 9 3 0.59 8 0.375







258 A 15 5 1. 10 0.5







259 A 8 6 1. 10 0.6







260 A 10 6 1. 10 0.6







261 A 3 2 1. 16 0.125







262 A 3 2 1. 16 0.125







263 A 3 2 1. 16 0.125







264 A 2 2 1. 16 0.125







265 A 2 2 1. 14 0.143







266 A 4 3 1. 16 0.188







267 A 4 3 1. 16 0.188







268 A 3 3 1. 16 0.188







269 A 2 2 1. 16 0.125







270 A 3 3 1. 14 0.214







271 A 3 2 1. 16 0.125







272 A 3 2 1. 16 0.125







273 A 3 2 1. 16 0.125







274 A 3 2 1. 16 0.125







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276 A 2 2 1. 16 0.125







277 A 3 3 1. 14 0.214







278 A 4 3 1. 14 0.214







279 A 4 3 1. 16 0.188







280 A 3 3 1. 16 0.188







281 A 2 2 1. 16 0.125







282 A 3 3 1. 16 0.188







283 A 3 2 1. 16 0.125







284 A 3 2 1. 16 0.125







285 A 6 4 1. 21 0.19







286 A 5 4 1. 21 0.19







287 A 4 4 1. 21 0.19







288 A 3 2 1. 12 0.167







289 A 3 3 1. 21 0.143







290 A 2 1 1. 21 0.048







291 A 3 2 1. 21 0.095







292 A 3 2 1. 21 0.095







293 A 6 5 1. 23 0.217







294 A 5 5 1. 23 0.217







295 A 1 1 1. 14 0.071







296 A 5 4 1. 23 0.174







297 A 4 3 1. 23 0.13







298 A 3 2 1. 23 0.087







299 A 3 2 1. 23 0.087







300 A 3 2 1. 23 0.087







301 A 4 3 1. 15 0.2







302 A 6 6 1. 15 0.4







303 A 4 3 1. 15 0.2







304 A 5 5 1. 15 0.333







305 A 3 3 1. 15 0.2







306 A 4 4 1. 15 0.267







307 A 2 2 1. 13 0.154







308 A 4 4 1. 13 0.308







309 A 3 3 1. 15 0.2







310 A 5 5 1. 15 0.333







311 A 4 3 1. 15 0.2







312 A 6 6 1. 15 0.4







313 A 4 3 1. 15 0.2







314 A 6 6 1. 15 0.4







315 A 5 4 1. 15 0.267







316 A 5 5 1. 15 0.333







317 A 3 3 1. 15 0.2







318 A 3 3 1. 15 0.2







319 A 3 3 1. 13 0.231







320 A 5 5 1. 13 0.385







321 A 5 4 1. 15 0.267







322 A 6 6 1. 15 0.4







323 A 5 4 1. 15 0.267







324 A 5 5 1. 25 0.2







325 A 4 4 1. 23 0.174







326 A 6 5 1. 23 0.217







327 A 4 4 1. 25 0.16







328 A 5 5 1. 25 0.2







329 A 8 8 1.18 25 0.32







330 A 7 7 1.25 25 0.28







331 A 2 2 1. 16 0.125







332 A 8 8 1.31 25 0.32







333 A 8 8 1.2 25 0.32







334 A 6 5 1. 25 0.2







335 A 5 4 1. 23 0.174







336 A 7 6 1. 23 0.261







337 A 7 6 1. 25 0.24







338 A 5 4 1. 25 0.16







339 A 6 5 1. 25 0.2







340 A 9 8 1. 25 0.32







341 A 8 8 1. 25 0.32







342 A 6 6 1. 16 0.375







343 A 7 7 1. 25 0.28







344 A 8 8 1. 25 0.32







345 A 4 4 1. 25 0.16







346 A 3 3 1. 23 0.13







347 A 3 3 1. 23 0.13







348 A 4 4 1. 25 0.16







349 A 7 7 1.24 25 0.28







350 A 6 6 1.34 25 0.24







351 A 2 2 1. 16 0.125







352 A 8 8 1.29 25 0.32







353 A 8 8 1.19 25 0.32







354 A 4 4 1. 25 0.16







355 A 2 2 1. 23 0.087







356 A 4 4 1. 23 0.174







357 A 6 6 1. 25 0.24







358 A 8 8 1. 25 0.32







359 A 7 7 1. 25 0.28







360 A 7 7 1. 25 0.28







361 A 4 4 1. 16 0.25







362 A 8 8 1. 25 0.32







363 A 5 5 1. 25 0.2







364 A 3 3 1. 25 0.12







365 A 3 3 1. 23 0.13







366 A 6 6 1. 23 0.261







367 A 8 8 1.16 25 0.32







368 A 8 8 1.18 25 0.32







369 A 8 8 1.18 25 0.32







370 A 7 7 1. 16 0.438







371 A 9 8 1.14 25 0.32







372 A 3 3 1. 25 0.12







373 A 5 5 1. 23 0.217







374 A 4 4 0.96 23 0.174







375 A 3 3 1. 21 0.143







376 A 3 3 1. 21 0.143







377 A 3 3 1. 23 0.13







378 A 3 3 1. 23 0.13







379 A 3 3 1. 23 0.13







380 A 3 3 1. 14 0.214







381 A 3 3 1. 23 0.13







382 A 3 3 1. 23 0.13







383 A 11 10 1. 23 0.435







384 A 9 9 1. 23 0.391







385 A 7 7 1. 21 0.333







386 A 11 10 1. 21 0.476







387 A 11 10 1. 23 0.435







388 A 38 8 1. 23 0.348







389 A 24 7 1. 23 0.304







390 A 11 4 1. 14 0.286







391 F 0 0 N/A 0 N/A







392 F 0 0 N/A 0 N/A







393 A 10 9 1. 23 0.391







394 A 8 8 1. 23 0.348







395 A 9 9 1. 23 0.391







396 A 8 8 1. 21 0.381







397 A 18 11 1. 21 0.524







398 A 18 11 1. 23 0.478







399 A 0 0 0. 0 0.







400 A 0 0 0. 0 0.







401 A 0 0 0. 0 0.







402 A 0 0 0. 0 0.







403 A 0 0 0. 0 0.







404 A 6 5 1. 24 0.208







405 A 6 5 1. 24 0.208







406 A 4 4 1. 24 0.167







407 A 4 4 1. 22 0.182







408 A 7 6 1. 22 0.273







409 A 7 6 1. 24 0.25







410 A 7 6 1. 24 0.25







411 A 16 6 1. 24 0.25







412 A 12 6 1. 24 0.25







413 A 9 6 1. 24 0.25







414 A 7 5 1. 24 0.208







415 A 4 3 1. 24 0.125







416 A 6 4 1. 24 0.167







417 A 6 4 1. 24 0.167







418 A 6 4 1. 24 0.167







419 A 0 0 0. 0 0.







420 A 8 7 0.97 23 0.304







421 A 7 6 1. 23 0.261







422 A 3 3 1. 21 0.143







423 A 7 6 1. 21 0.286







424 A 9 6 1. 23 0.261







425 A 0 0 0. 0 0.







426 A 0 0 0. 0 0.







427 A 0 0 0. 0 0.







428 A 0 0 0. 0 0.







429 A 0 0 0. 0 0.







430 A 0 0 0. 0 0.







431 A 9 6 1. 23 0.261







432 A 7 6 1. 23 0.261







433 A 3 3 1. 21 0.143







434 A 0 0 0. 0 0.







435 A 0 0 0. 0 0.







436 A 0 0 0. 0 0.







437 A 0 0 0. 0 0.







438 A 0 0 0. 0 0.







439 A 0 0 0. 0 0.







440 A 0 0 0. 0 0.







441 A 3 2 1. 23 0.087







442 A 3 2 1. 23 0.087







443 A 3 2 1. 23 0.087







444 A 4 3 1. 21 0.143







445 A 4 4 1. 21 0.19







446 A 3 2 1. 23 0.087







447 A 3 2 1. 23 0.087







448 A 3 2 1. 23 0.087







449 A 4 3 1. 23 0.13







450 A 4 3 1. 23 0.13







451 A 4 3 1. 23 0.13







452 A 3 3 1. 23 0.13







453 A 3 3 1. 23 0.13







454 A 4 3 1. 23 0.13







455 A 5 3 1. 23 0.13







456 A 6 3 1. 23 0.13







457 A 5 4 1. 26 0.154







458 A 5 4 1. 26 0.154







459 A 4 4 1. 24 0.167







460 A 5 5 1. 24 0.208







461 A 7 7 1. 26 0.269







462 A 7 6 1. 26 0.231







463 A 6 6 1. 26 0.231







464 A 5 5 1. 26 0.192







465 A 5 4 1. 26 0.154







466 A 5 4 1. 26 0.154







467 A 5 4 1. 26 0.154







468 A 5 4 1. 26 0.154







469 A 5 4 1. 26 0.154







470 A 4 4 1. 24 0.167







471 A 4 4 1. 24 0.167







472 A 6 6 1. 26 0.231







473 A 5 4 1. 26 0.154







474 A 4 4 1. 26 0.154







475 A 4 4 1. 26 0.154







476 A 4 3 1. 26 0.115







477 A 5 4 1. 26 0.154







478 A 5 4 1. 26 0.154







479 A 5 4 1. 26 0.154







480 A 4 4 1. 24 0.167







481 A 5 5 1. 24 0.208







482 A 6 6 1. 26 0.231







483 A 5 5 1. 26 0.192







484 A 5 5 1. 26 0.192







485 A 4 4 1. 26 0.154







486 A 5 4 1. 26 0.154







487 A 5 4 1. 26 0.154







488 A 6 6 1. 25 0.24







489 A 5 5 1. 25 0.2







490 A 4 4 1. 23 0.174







491 A 4 4 1. 23 0.174







492 A 5 5 1. 25 0.2







493 A 6 6 1. 25 0.24







494 A 8 8 1. 25 0.32







495 A 7 7 1. 25 0.28







496 A 2 2 1. 16 0.125







497 A 7 7 1. 25 0.28







498 A 8 8 1. 25 0.32







499 A 7 6 1. 25 0.24







500 A 6 5 1. 25 0.2







501 A 5 4 1. 23 0.174







502 A 5 4 1. 23 0.174







503 A 6 5 1. 25 0.2







504 A 7 6 1. 25 0.24







505 A 9 9 1. 25 0.36







506 A 8 8 1. 25 0.32







507 A 6 6 1. 16 0.375







508 A 8 8 1. 25 0.32







509 A 9 9 1. 25 0.36







510 A 5 5 1. 25 0.2







511 A 4 4 1. 25 0.16







512 A 3 3 1. 23 0.13







513 A 3 3 1. 23 0.13







514 A 4 4 1. 25 0.16







515 A 5 5 1. 25 0.2







516 A 8 8 1. 25 0.32







517 A 4 4 1. 25 0.16







518 A 2 2 1. 16 0.125







519 A 5 5 1. 25 0.2







520 A 8 8 1. 25 0.32







521 A 6 6 1. 25 0.24







522 A 5 5 1. 25 0.2







523 A 4 4 1. 23 0.174







524 A 4 4 1. 23 0.174







525 A 5 5 1. 25 0.2







526 A 6 6 1. 25 0.24







527 A 9 8 1. 25 0.32







528 A 8 8 1. 25 0.32







529 A 4 4 1. 16 0.25







530 A 8 8 1. 25 0.32







531 A 9 8 1. 25 0.32







532 A 7 6 1. 25 0.24







533 A 6 5 1. 25 0.2







534 A 5 4 1. 23 0.174







535 A 5 4 1. 23 0.174







536 A 6 5 1. 25 0.2







537 A 7 6 1. 25 0.24







538 A 10 8 1. 25 0.32







539 A 9 8 1. 25 0.32







540 A 7 7 1. 16 0.438







541 A 9 9 1. 25 0.36







542 A 10 9 1. 25 0.36







543 A 3 3 1. 25 0.12







544 A 3 3 1. 23 0.13







545 A 2 2 1. 21 0.095







546 A 2 2 1. 21 0.095







547 A 3 3 1. 23 0.13







548 A 3 3 1. 23 0.13







549 A 3 3 1. 23 0.13







550 A 3 3 1. 23 0.13







551 A 3 3 1. 23 0.13







552 A 11 10 1. 15 0.667







553 A 5 5 1. 15 0.333







554 A 4 4 1. 15 0.267







555 A 5 5 1. 23 0.217







556 A 4 4 1. 25 0.16







557 A 3 3 1. 23 0.13







558 A 4 4 1. 23 0.174







559 A 5 5 1. 25 0.2







560 A 6 6 1. 25 0.24







561 A 4 4 1. 25 0.16







562 A 2 2 1. 16 0.125







563 A 6 6 1. 25 0.24







564 A 0 0 0. 0 0.







565 A 11 10 1. 23 0.435







566 A 7 6 1. 21 0.286







567 A 3 3 1. 21 0.143







568 A 6 6 1. 23 0.261







569 A 0 0 0. 0 0.







570 A 0 0 0. 0 0.







571 A 0 0 0. 0 0.







572 A 0 0 0. 0 0.







573 A 0 0 0. 0 0.







574 A 10 5 1. 23 0.217







575 A 8 5 1. 23 0.217







576 A 6 5 1. 21 0.238







577 A 0 0 0. 0 0.







578 A 0 0 0. 0 0.







579 A 5 5 1. 15 0.333







580 A 4 4 1. 15 0.267







581 A 0 0 0. 0 0.







582 A 0 0 0. 0 0.







583 A 0 0 0. 0 0.







584 A 3 3 1. 21 0.143







585 A 7 6 1. 23 0.261







586 A 0 0 0. 0 0.







587 A 0 0 0. 0 0.







588 A 0 0 0. 0 0.







589 A 0 0 0. 0 0.







590 A 0 0 0. 0 0.







591 A 7 7 1.07 37 0.189







592 A 3 3 1. 35 0.086







593 F 0 0 N/A 0 N/A







594 F 0 0 N/A 0 N/A