Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 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, 593, 594 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 37, 38, 39, 40, 42, 43, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 70, 71, 72, 73, 74, 75, 76, 77, 78, 115, 116, 117, 118, 119, 120, 121, 122, 123, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 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, 215, 216, 217, 218, 219, 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, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 551, 552, 553, 554, 555, 556, 558, 559, 560, 561, 562, 563, 564, 565, 566, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 591, 592, 593, 594 }

B grade: { 21, 32, 33, 34, 35, 36, 41, 44, 45, 46, 47, 369, 370, 371, 372, 557 }

C grade: { 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 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, 124, 161, 210, 211, 212, 213, 214, 220, 221, 222, 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, 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, 567, 590 }

F grade: { }

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 33, 36, 39, 42, 44, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 70, 71, 72, 76, 77, 78, 80, 93, 94, 97, 98, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 124, 126, 128, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 151, 152, 153, 154, 155, 157, 159, 160, 161, 162, 163, 165, 166, 167, 170, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 189, 195, 198, 201, 202, 203, 204, 205, 206, 207, 208, 209, 211, 212, 215, 216, 217, 218, 219, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 288, 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, 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, 422, 423, 424, 425, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 441, 442, 443, 444, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 554, 555, 556, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 577, 578, 579, 580, 589, 593 }

B grade: { 6, 20, 21, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 43, 45, 46, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 73, 74, 75, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 95, 96, 99, 100, 101, 102, 103, 104, 105, 106, 123, 125, 127, 129, 149, 150, 156, 158, 164, 168, 169, 171, 172, 186, 187, 188, 190, 191, 192, 193, 194, 196, 197, 199, 200, 221, 222, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 287, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 370, 371, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 426, 427, 428, 429, 440, 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, 557 }

C grade: { 210, 213, 214, 220, 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, 592, 594 }

F grade: { 474, 475, 476, 551, 552, 553, 576, 581, 582, 583, 584, 585, 586, 587, 588, 590, 591 }

2.1.4 Maxima

A grade: { 1, 2, 4, 5, 13, 14, 15, 16, 17, 18, 19, 27, 28, 39, 42, 48, 49, 50, 51, 52, 53, 54, 55, 56, 76, 77, 78, 123, 124, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 152, 153, 154, 155, 156, 157, 158, 159, 160, 162, 163, 164, 165, 166, 167, 168, 180, 181, 182, 183, 184, 215, 216, 217, 218, 219, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 251, 252, 253, 254, 255, 256, 257, 258, 259, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 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, 365, 366, 367, 368, 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, 477, 478, 479, 480, 481, 482, 483, 484, 554, 555, 556, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 589, 592, 593

B grade: { 3, 6, 161, 179, 185, 557, 594 }

C grade: { }

F grade: { 7, 8, 9, 10, 11, 12, 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 43, 44, 45, 46, 47, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 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, 125, 126, 127, 128, 129, 130, 131, 132, 149, 150, 151, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 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, 220, 221, 222, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 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, 369, 370, 371, 372, 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, 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, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 590, 591 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 42, 43, 48, 49, 50, 51, 52, 53, 54, 55, 56, 76, 77, 78, 123, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 153, 159, 161, 167, 180, 181, 182, 183, 184, 215, 216, 217, 218, 219, 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, 284, 285, 286, 287, 288, 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, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 477, 478, 479, 480, 481, 482, 483, 484, 554, 555, 556, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 571, 572, 573, 574, 575, 579, 580, 585, 589, 593, 594 }

B grade: { 40, 41, 44, 45, 46, 47, 152, 155, 156, 160, 163, 164, 168, 179, 185, 221, 222, 283, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 557, 569, 570, 577, 578, 591, 592 }

C grade: { 7, 8, 9, 10, 11, 12, 24, 25, 26, 57, 58, 70, 71, 72, 73, 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, 414, 415, 416, 417, 419, 421, 422, 423, 424, 425, 428 }

F grade: { 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 74, 75, 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, 124, 125, 126, 127, 128, 129, 130, 131, 132, 149, 150, 151, 154, 157, 158, 162, 165, 166, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 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, 220, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 418, 420, 426, 427, 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, 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, 576, 581, 582, 583, 584, 586, 587, 588, 590 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 22, 23, 24, 25, 26, 29, 31, 37, 38, 39, 42, 43, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 70, 71, 72, 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, 124, 126, 128, 130, 132, 133, 134, 135, 136, 137, 138, 139, 141, 142, 143, 144, 145, 146, 147, 148, 152, 153, 154, 155, 156, 157, 159, 160, 162, 163, 164, 165, 167, 168, 169, 170, 180, 181, 182, 183, 184, 211, 212, 217, 218, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 251, 252, 253, 254, 255, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 294, 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, 344, 345, 346, 351, 352, 353, 358, 359, 360, 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, 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, 477, 478, 479, 480, 481, 482, 483, 484, 489, 490, 491, 495, 496, 497, 498, 499, 510, 511, 512, 513, 514, 515, 516, 517, 518, 529, 530, 531, 532, 533, 540, 541, 542, 543, 544, 545, 546, 552, 554, 555, 556, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 577, 578, 579, 580, 581 }

B grade: { 73, 74, 125, 127, 129, 131, 140, 149, 150, 158, 166, 171, 172, 175, 176, 179, 185, 403, 404, 405, 406, 407, 485, 486, 487, 488, 557 }

C grade: { 18, 19, 20, 21, 27, 28, 30, 32, 33, 34, 35, 36, 49, 123, 161, 210, 213, 214, 215, 216, 219, 365, 366, 367, 368, 369, 370, 371, 372, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 534, 535, 536, 537, 538, 539, 547, 548, 549, 550, 582 }

F grade: { 6, 40, 41, 44, 45, 46, 47, 65, 68, 69, 75, 151, 173, 174, 177, 178, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 230, 231, 232, 247, 248, 249, 250, 256, 257, 258, 259, 270, 271, 272, 273, 274, 275, 276, 277, 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, 341, 342, 343, 347, 348, 349, 350, 354, 355, 356, 357, 361, 362, 363, 364, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 476, 492, 493, 494, 551, 553, 576, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594 }

2.1.7 Giac

A grade: { 1, 2, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 35, 36, 39, 42, 43, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 70, 71, 72, 73, 74, 75, 76, 77, 78, 116, 118, 120, 122, 124, 126, 128, 130, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 152, 153, 154, 155, 156, 157, 158, 159, 160, 162, 163, 164, 165, 166, 167, 168, 170, 175, 176, 177, 178, 180, 181, 182, 183, 184, 185, 189, 190, 191, 195, 196, 197, 201, 202, 203, 207, 208, 209, 215, 216, 217, 218, 219, 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, 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, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 477, 478, 479, 480, 481, 482, 483, 484, 487, 488, 489, 490, 491, 492, 493, 494, 554, 555, 556, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 579, 580 }

B grade: { 3, 6, 30, 32, 33, 34, 44, 45, 115, 117, 119, 121, 123, 125, 127, 129, 131, 149, 150, 151, 161, 169, 171, 172, 173, 174, 179, 186, 187, 188, 192, 193, 194, 198, 199, 200, 204, 205, 206, 254, 369, 370, 371, 485, 486, 557, 577, 578, 591, 592, 593, 594 }

C grade: { }

F grade: { 29, 31, 37, 38, 40, 41, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 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, 210, 211, 212, 213, 214, 220, 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, 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, 576, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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










Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 53 53 104 127 223 105
normalized size 1 1. 0.74 0.74 1.44 1.76 3.1 1.46
time (sec) N/A 0.033 0.071 0.023 0.954 1.262 7.773 1.108


















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 155 194 320 433 644 320
normalized size 1 1. 0.96 1.2 1.99 2.69 4. 1.99
time (sec) N/A 0.105 0.152 0.005 0.931 1.283 50.669 1.107


















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 274 274 294 495 709 1067 1406 710
normalized size 1 1. 1.07 1.81 2.59 3.89 5.13 2.59
time (sec) N/A 0.194 0.538 0.006 0.958 1.281 116.817 1.111


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 82 91 173 216 354 174
normalized size 1 1. 0.72 0.8 1.52 1.89 3.11 1.53
time (sec) N/A 0.071 0.126 0.045 0.962 1.191 15.201 1.08


















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 320 320 303 447 675 1000 1365 697
normalized size 1 1. 0.95 1.4 2.11 3.12 4.27 2.18
time (sec) N/A 0.244 0.457 0.007 0.991 1.269 117.588 1.115


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 708 708 678 1417 1836 2993 0 1909
normalized size 1 1. 0.96 2. 2.59 4.23 0. 2.7
time (sec) N/A 0.625 2.263 0.007 1.053 1.385 0. 1.181


















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 124 186 0 4590 76 216
normalized size 1 1. 0.77 1.16 0. 28.51 0.47 1.34
time (sec) N/A 0.111 0.055 0.044 0. 7.861 0.634 1.115


















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 189 189 180 238 0 4961 105 252
normalized size 1 1. 0.95 1.26 0. 26.25 0.56 1.33
time (sec) N/A 0.139 0.151 0.003 0. 7.973 1.103 1.109


















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 205 272 0 5554 146 279
normalized size 1 1. 0.95 1.27 0. 25.83 0.68 1.3
time (sec) N/A 0.187 0.154 0.004 0. 8.437 1.904 1.124


















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 240 240 229 306 0 5960 185 312
normalized size 1 1. 0.95 1.27 0. 24.83 0.77 1.3
time (sec) N/A 0.223 0.192 0.004 0. 7.257 3.36 1.103


















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 125 186 0 4590 76 197
normalized size 1 1. 0.78 1.16 0. 28.51 0.47 1.22
time (sec) N/A 0.121 0.058 0.048 0. 6.319 1.243 1.113


















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 125 188 0 4563 78 155
normalized size 1 1. 0.78 1.17 0. 28.34 0.48 0.96
time (sec) N/A 0.1 0.049 0.004 0. 6.228 1.211 1.079


















Problem 13 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 22 58 26 22
normalized size 1 1. 1. 0.89 1.16 3.05 1.37 1.16
time (sec) N/A 0.015 0.005 0.022 1.446 0.954 0.104 1.079


















Problem 14 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 22 58 26 22
normalized size 1 1. 1. 0.89 1.16 3.05 1.37 1.16
time (sec) N/A 0.013 0.004 0.001 1.432 0.892 0.097 1.159


















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 17 22 53 17 23
normalized size 1 1. 1. 0.77 1. 2.41 0.77 1.05
time (sec) N/A 0.012 0.004 0.004 1.439 0.917 0.096 1.192


















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 19 24 54 17 26
normalized size 1 1. 1. 0.86 1.09 2.45 0.77 1.18
time (sec) N/A 0.013 0.004 0.004 1.472 1.009 0.092 1.119


















Problem 17 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 41 41 41 33 43 112 44 45
normalized size 1 1. 1. 0.8 1.05 2.73 1.07 1.1
time (sec) N/A 0.027 0.008 0.004 1.442 0.948 0.135 1.088


















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 31 35 46 72 54 38
normalized size 1 1. 1.07 1.21 1.59 2.48 1.86 1.31
time (sec) N/A 0.022 0.01 0.067 1.459 0.903 0.157 1.119


















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 34 45 72 53 35
normalized size 1 1. 1. 1.17 1.55 2.48 1.83 1.21
time (sec) N/A 0.02 0.007 0.002 1.437 1.027 0.213 1.059


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 35 195 0 323 88 65
normalized size 1 1. 0.9 5. 0. 8.28 2.26 1.67
time (sec) N/A 0.027 0.017 0.043 0. 1.091 0.431 1.117


















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 129 228 0 339 105 78
normalized size 1 1. 3.15 5.56 0. 8.27 2.56 1.9
time (sec) N/A 0.043 0.049 0.01 0. 1.083 0.477 1.098


















Problem 22 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 118 118 90 94 0 760 26 155
normalized size 1 1. 0.76 0.8 0. 6.44 0.22 1.31
time (sec) N/A 0.126 0.011 0.041 0. 0.99 0.135 1.079


















Problem 23 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 118 118 90 94 0 765 22 155
normalized size 1 1. 0.76 0.8 0. 6.48 0.19 1.31
time (sec) N/A 0.106 0.012 0.043 0. 1.009 0.156 1.116


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 124 186 0 4590 76 224
normalized size 1 1. 0.77 1.16 0. 28.51 0.47 1.39
time (sec) N/A 0.166 0.039 0.043 0. 6.199 0.658 1.085


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 122 108 0 2425 75 162
normalized size 1 1. 0.91 0.81 0. 18.1 0.56 1.21
time (sec) N/A 0.113 0.023 0.043 0. 6.385 0.299 1.102


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 123 111 0 2820 70 128
normalized size 1 1. 0.92 0.83 0. 21.04 0.52 0.96
time (sec) N/A 0.089 0.03 0.041 0. 6.3 0.414 1.095


















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 72 43 57 95 60 50
normalized size 1 1. 1.95 1.16 1.54 2.57 1.62 1.35
time (sec) N/A 0.058 0.02 0.048 1.468 0.878 0.513 1.082


















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 71 45 59 95 60 51
normalized size 1 1. 1.82 1.15 1.51 2.44 1.54 1.31
time (sec) N/A 0.042 0.018 0.007 1.43 0.999 0.434 1.074


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 76 117 0 387 58 0
normalized size 1 1. 1.58 2.44 0. 8.06 1.21 0.
time (sec) N/A 0.037 0.019 0.044 0. 1.081 0.491 0.


















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 72 84 0 122 85 150
normalized size 1 1. 1.53 1.79 0. 2.6 1.81 3.19
time (sec) N/A 0.034 0.024 0.047 0. 1.02 0.443 1.098


















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 99 122 0 466 58 0
normalized size 1 1. 1.74 2.14 0. 8.18 1.02 0.
time (sec) N/A 0.069 0.029 0.006 0. 1.053 0.583 0.


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 106 110 0 130 95 132
normalized size 1 1. 2.26 2.34 0. 2.77 2.02 2.81
time (sec) N/A 0.061 0.039 0.007 0. 1.025 0.468 1.138


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-2) A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 146 87 0 138 100 224
normalized size 1 1. 2.92 1.74 0. 2.76 2. 4.48
time (sec) N/A 0.077 0.052 0.044 0. 1.05 0.536 1.126


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 150 135 0 140 110 219
normalized size 1 1. 2.83 2.55 0. 2.64 2.08 4.13
time (sec) N/A 0.081 0.059 0.007 0. 1.033 0.554 1.122


















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 149 132 0 140 109 123
normalized size 1 1. 2.76 2.44 0. 2.59 2.02 2.28
time (sec) N/A 0.06 0.047 0.003 0. 0.983 0.523 1.093


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-2) A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 147 90 0 138 102 115
normalized size 1 1. 2.77 1.7 0. 2.6 1.92 2.17
time (sec) N/A 0.058 0.043 0.005 0. 1.044 0.623 1.083


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 95 117 0 463 70 0
normalized size 1 1. 1.56 1.92 0. 7.59 1.15 0.
time (sec) N/A 0.041 0.017 0.005 0. 1.051 0.669 0.


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 116 122 0 539 73 0
normalized size 1 1. 1.66 1.74 0. 7.7 1.04 0.
time (sec) N/A 0.072 0.028 0.007 0. 1.087 0.766 0.


















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 50 32 42 107 42 43
normalized size 1 1. 1.25 0.8 1.05 2.68 1.05 1.08
time (sec) N/A 0.03 0.01 0.005 1.457 1.001 0.123 1.204


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 122 310 0 1058 0 0
normalized size 1 1. 1.74 4.43 0. 15.11 0. 0.
time (sec) N/A 0.067 0.046 0.004 0. 11.304 0. 0.


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F(-2) F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 88 88 238 345 0 1129 0 0
normalized size 1 1. 2.7 3.92 0. 12.83 0. 0.
time (sec) N/A 0.112 0.526 0.006 0. 9.575 0. 0.


















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 12 12 16 22 7 18
normalized size 1 1. 1.09 1.09 1.45 2. 0.64 1.64
time (sec) N/A 0.011 0.002 0.039 0.995 0.918 0.069 1.502


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 21 218 0 51 20 22
normalized size 1 1. 1. 10.38 0. 2.43 0.95 1.05
time (sec) N/A 0.015 0.003 0.005 0. 1.018 0.312 1.472


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-2) B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 247 121 0 948 0 362
normalized size 1 1. 3.48 1.7 0. 13.35 0. 5.1
time (sec) N/A 0.094 0.267 0.005 0. 5.691 0. 1.249


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 288 345 0 972 0 351
normalized size 1 1. 3.79 4.54 0. 12.79 0. 4.62
time (sec) N/A 0.102 0.177 0.006 0. 5.776 0. 1.102


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 253 340 0 968 0 180
normalized size 1 1. 3.24 4.36 0. 12.41 0. 2.31
time (sec) N/A 0.108 0.251 0.005 0. 5.751 0. 1.13


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-2) B F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 244 124 0 952 0 169
normalized size 1 1. 3.25 1.65 0. 12.69 0. 2.25
time (sec) N/A 0.105 0.261 0.007 0. 5.992 0. 1.089


















Problem 48 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 31 36 35 77 24 36
normalized size 1 1. 0.97 1.12 1.09 2.41 0.75 1.12
time (sec) N/A 0.034 0.012 0.045 1.443 1.28 0.31 1.064


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 62 87 63 158 323 70
normalized size 1 1. 1.13 1.58 1.15 2.87 5.87 1.27
time (sec) N/A 0.057 0.033 0.043 1.454 1.344 0.891 1.071


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 8 18 5 9
normalized size 1 1. 1. 0.88 1. 2.25 0.62 1.12
time (sec) N/A 0.006 0.001 0.001 0.978 1.196 0.072 1.079


















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 30 30 30 33 43 101 5 45
normalized size 1 1. 1. 1.1 1.43 3.37 0.17 1.5
time (sec) N/A 0.03 0.009 0.005 1.446 1.238 0.121 1.067


















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 46 15 23
normalized size 1 1. 1. 0.94 1.22 2.56 0.83 1.28
time (sec) N/A 0.019 0.005 0.004 1.443 1.401 0.112 1.073


















Problem 53 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 113 113 113 98 131 232 117 131
normalized size 1 1. 1. 0.87 1.16 2.05 1.04 1.16
time (sec) N/A 0.099 0.004 0.001 0.985 1.118 0.087 1.085


















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 88 75 100 180 90 100
normalized size 1 1. 1. 0.85 1.14 2.05 1.02 1.14
time (sec) N/A 0.06 0.003 0.001 0.96 1.108 0.079 1.087


















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 60 60 60 51 68 120 58 68
normalized size 1 1. 1. 0.85 1.13 2. 0.97 1.13
time (sec) N/A 0.038 0.002 0.001 0.99 1.08 0.076 1.063


















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 12 12 12 11 14 23 8 14
normalized size 1 1. 1. 0.92 1.17 1.92 0.67 1.17
time (sec) N/A 0.014 0.001 0.002 0.949 1.253 0.069 1.063


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 124 186 0 4590 76 216
normalized size 1 1. 0.77 1.16 0. 28.51 0.47 1.34
time (sec) N/A 0.098 0.045 0.002 0. 8.105 0.688 1.08


















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 189 189 180 238 0 4961 105 252
normalized size 1 1. 0.95 1.26 0. 26.25 0.56 1.33
time (sec) N/A 0.127 0.148 0.004 0. 7.999 1.111 1.084


















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 585 585 78 1618 0 0 265 0
normalized size 1 1. 0.13 2.77 0. 0. 0.45 0.
time (sec) N/A 0.464 0.04 0.009 0. 0. 5.448 0.


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 556 556 76 1546 0 0 170 0
normalized size 1 1. 0.14 2.78 0. 0. 0.31 0.
time (sec) N/A 0.327 0.032 0.008 0. 0. 3.5 0.


















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 525 525 75 1480 0 0 163 0
normalized size 1 1. 0.14 2.82 0. 0. 0.31 0.
time (sec) N/A 0.239 0.029 0.009 0. 0. 2.861 0.


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 490 490 75 1536 0 0 78 0
normalized size 1 1. 0.15 3.13 0. 0. 0.16 0.
time (sec) N/A 0.158 0.032 0.011 0. 0. 2.872 0.


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 522 522 96 1662 0 0 163 0
normalized size 1 1. 0.18 3.18 0. 0. 0.31 0.
time (sec) N/A 0.249 0.051 0.009 0. 0. 12.033 0.


















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 554 554 123 1782 0 0 163 0
normalized size 1 1. 0.22 3.22 0. 0. 0.29 0.
time (sec) N/A 0.317 0.089 0.088 0. 0. 102.473 0.


















Problem 65 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 581 581 138 1902 0 0 0 0
normalized size 1 1. 0.24 3.27 0. 0. 0. 0.
time (sec) N/A 0.41 0.117 0.057 0. 0. 0. 0.


















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 590 590 135 1491 0 0 187 0
normalized size 1 1. 0.23 2.53 0. 0. 0.32 0.
time (sec) N/A 0.556 0.121 0.046 0. 0. 3.088 0.


















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 594 594 130 1547 0 0 189 0
normalized size 1 1. 0.22 2.6 0. 0. 0.32 0.
time (sec) N/A 0.433 0.121 0.005 0. 0. 18.522 0.


















Problem 68 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 628 628 170 1673 0 0 0 0
normalized size 1 1. 0.27 2.66 0. 0. 0. 0.
time (sec) N/A 0.5 0.185 0.006 0. 0. 0. 0.


















Problem 69 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 676 676 196 1793 0 0 0 0
normalized size 1 1. 0.29 2.65 0. 0. 0. 0.
time (sec) N/A 0.675 0.253 0.006 0. 0. 0. 0.


















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 200 211 0 10904 156 262
normalized size 1 1. 1.08 1.13 0. 58.62 0.84 1.41
time (sec) N/A 0.178 0.084 0.002 0. 8.11 1.034 1.094


















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 222 222 214 325 0 15101 245 327
normalized size 1 1. 0.96 1.46 0. 68.02 1.1 1.47
time (sec) N/A 0.319 0.17 0.005 0. 14.948 2.644 1.092


















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 282 280 277 446 0 18692 325 427
normalized size 1 0.99 0.98 1.58 0. 66.28 1.15 1.51
time (sec) N/A 0.443 0.244 0.003 0. 57.848 5.48 1.085


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) C B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 272 270 269 444 0 26617 546 383
normalized size 1 0.99 0.99 1.63 0. 97.86 2.01 1.41
time (sec) N/A 0.49 0.284 0.004 0. 15.671 8.799 1.07


















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 416 416 439 837 0 0 1314 648
normalized size 1 1. 1.06 2.01 0. 0. 3.16 1.56
time (sec) N/A 0.7 0.451 0.005 0. 0. 86.1 1.068


















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 645 643 678 1339 0 0 0 1060
normalized size 1 1. 1.05 2.08 0. 0. 0. 1.64
time (sec) N/A 1.097 0.349 0.007 0. 0. 0. 1.088


















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 54 38 50 120 44 51
normalized size 1 1. 1.26 0.88 1.16 2.79 1.02 1.19
time (sec) N/A 0.078 0.012 0.005 1.401 1.556 0.124 1.087


















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 54 38 50 122 46 51
normalized size 1 1. 1.17 0.83 1.09 2.65 1. 1.11
time (sec) N/A 0.084 0.012 0.005 1.416 1.516 0.121 1.08


















Problem 78 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 44 44 44 38 50 122 48 51
normalized size 1 1. 1. 0.86 1.14 2.77 1.09 1.16
time (sec) N/A 0.043 0.008 0.004 1.426 1.549 0.12 1.071


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 230 230 47 407 0 0 92 0
normalized size 1 1. 0.2 1.77 0. 0. 0.4 0.
time (sec) N/A 0.06 0.02 0.013 0. 0. 1.639 0.


















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 257 257 43 368 0 0 97 0
normalized size 1 1. 0.17 1.43 0. 0. 0.38 0.
time (sec) N/A 0.067 0.016 0.016 0. 0. 2.356 0.


















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 63 407 0 0 82 0
normalized size 1 1. 0.44 2.83 0. 0. 0.57 0.
time (sec) N/A 0.027 0.024 0.013 0. 0. 2.362 0.


















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 67 370 0 0 99 0
normalized size 1 1. 0.5 2.74 0. 0. 0.73 0.
time (sec) N/A 0.033 0.026 0.011 0. 0. 1.65 0.


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 468 468 90 1003 0 0 122 0
normalized size 1 1. 0.19 2.14 0. 0. 0.26 0.
time (sec) N/A 0.121 0.056 0.068 0. 0. 3.347 0.


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 481 481 91 949 0 0 128 0
normalized size 1 1. 0.19 1.97 0. 0. 0.27 0.
time (sec) N/A 0.139 0.057 0.087 0. 0. 3.507 0.


















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 271 271 92 952 0 0 112 0
normalized size 1 1. 0.34 3.51 0. 0. 0.41 0.
time (sec) N/A 0.066 0.04 0.035 0. 0. 3.547 0.


















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 266 93 1012 0 0 129 0
normalized size 1 1. 0.35 3.8 0. 0. 0.48 0.
time (sec) N/A 0.062 0.043 0.028 0. 0. 3.535 0.


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 520 520 89 1004 0 0 124 0
normalized size 1 1. 0.17 1.93 0. 0. 0.24 0.
time (sec) N/A 0.213 0.048 0.034 0. 0. 2.167 0.


















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 533 533 89 950 0 0 129 0
normalized size 1 1. 0.17 1.78 0. 0. 0.24 0.
time (sec) N/A 0.172 0.044 0.036 0. 0. 2.77 0.


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 256 90 953 0 0 114 0
normalized size 1 1. 0.35 3.72 0. 0. 0.45 0.
time (sec) N/A 0.083 0.032 0.019 0. 0. 2.753 0.


















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 251 251 92 1013 0 0 131 0
normalized size 1 1. 0.37 4.04 0. 0. 0.52 0.
time (sec) N/A 0.064 0.034 0.012 0. 0. 2.279 0.


















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 49 407 0 0 92 0
normalized size 1 1. 0.39 3.2 0. 0. 0.72 0.
time (sec) N/A 0.019 0.021 0.013 0. 0. 1.597 0.


















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 45 368 0 0 97 0
normalized size 1 1. 0.32 2.59 0. 0. 0.68 0.
time (sec) N/A 0.025 0.016 0.011 0. 0. 2.419 0.


















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 264 264 63 407 0 0 82 0
normalized size 1 1. 0.24 1.54 0. 0. 0.31 0.
time (sec) N/A 0.054 0.026 0.008 0. 0. 2.439 0.


















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 247 67 370 0 0 97 0
normalized size 1 1. 0.27 1.5 0. 0. 0.39 0.
time (sec) N/A 0.054 0.024 0.008 0. 0. 1.669 0.


















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 47 407 0 0 92 0
normalized size 1 1. 0.37 3.23 0. 0. 0.73 0.
time (sec) N/A 0.025 0.015 0.01 0. 0. 2.302 0.


















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 43 368 0 0 97 0
normalized size 1 1. 0.3 2.57 0. 0. 0.68 0.
time (sec) N/A 0.025 0.011 0.009 0. 0. 1.719 0.


















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 263 263 63 407 0 0 82 0
normalized size 1 1. 0.24 1.55 0. 0. 0.31 0.
time (sec) N/A 0.05 0.02 0.009 0. 0. 1.689 0.


















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 248 248 67 370 0 0 97 0
normalized size 1 1. 0.27 1.49 0. 0. 0.39 0.
time (sec) N/A 0.052 0.019 0.011 0. 0. 2.395 0.


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 256 256 90 1003 0 0 122 0
normalized size 1 1. 0.35 3.92 0. 0. 0.48 0.
time (sec) N/A 0.045 0.062 0.038 0. 0. 3.327 0.


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 263 263 90 949 0 0 128 0
normalized size 1 1. 0.34 3.61 0. 0. 0.49 0.
time (sec) N/A 0.042 0.062 0.04 0. 0. 3.556 0.


















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 497 497 91 952 0 0 112 0
normalized size 1 1. 0.18 1.92 0. 0. 0.23 0.
time (sec) N/A 0.133 0.039 0.014 0. 0. 3.545 0.


















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 488 488 93 1012 0 0 128 0
normalized size 1 1. 0.19 2.07 0. 0. 0.26 0.
time (sec) N/A 0.115 0.05 0.017 0. 0. 3.563 0.


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 241 241 89 1004 0 0 124 0
normalized size 1 1. 0.37 4.17 0. 0. 0.51 0.
time (sec) N/A 0.069 0.051 0.03 0. 0. 2.175 0.


















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 248 248 89 950 0 0 129 0
normalized size 1 1. 0.36 3.83 0. 0. 0.52 0.
time (sec) N/A 0.061 0.044 0.033 0. 0. 2.77 0.


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 549 549 90 953 0 0 114 0
normalized size 1 1. 0.16 1.74 0. 0. 0.21 0.
time (sec) N/A 0.218 0.032 0.014 0. 0. 2.731 0.


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 540 540 92 1013 0 0 129 0
normalized size 1 1. 0.17 1.88 0. 0. 0.24 0.
time (sec) N/A 0.163 0.039 0.016 0. 0. 2.293 0.


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 490 490 75 720 0 0 78 0
normalized size 1 1. 0.15 1.47 0. 0. 0.16 0.
time (sec) N/A 0.148 0.029 0.003 0. 0. 1.626 0.


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 503 503 75 681 0 0 82 0
normalized size 1 1. 0.15 1.35 0. 0. 0.16 0.
time (sec) N/A 0.149 0.035 0.004 0. 0. 1.722 0.


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 515 515 76 683 0 0 73 0
normalized size 1 1. 0.15 1.33 0. 0. 0.14 0.
time (sec) N/A 0.163 0.025 0.004 0. 0. 1.701 0.


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 508 508 78 726 0 0 83 0
normalized size 1 1. 0.15 1.43 0. 0. 0.16 0.
time (sec) N/A 0.154 0.025 0.005 0. 0. 1.722 0.


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 246 42 291 0 0 61 0
normalized size 1 1. 0.17 1.18 0. 0. 0.25 0.
time (sec) N/A 0.081 0.01 0.004 0. 0. 1.385 0.


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 271 271 38 267 0 0 65 0
normalized size 1 1. 0.14 0.99 0. 0. 0.24 0.
time (sec) N/A 0.087 0.009 0.005 0. 0. 1.461 0.


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 58 291 0 0 56 0
normalized size 1 1. 0.21 1.06 0. 0. 0.2 0.
time (sec) N/A 0.087 0.022 0.004 0. 0. 1.43 0.


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 261 261 62 269 0 0 66 0
normalized size 1 1. 0.24 1.03 0. 0. 0.25 0.
time (sec) N/A 0.078 0.022 0.004 0. 0. 1.448 0.


















Problem 115 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 87 87 134 101 0 0 126 304
normalized size 1 1. 1.54 1.16 0. 0. 1.45 3.49
time (sec) N/A 0.065 0.035 0.004 0. 0. 0.77 1.092


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 184 151 0 0 124 288
normalized size 1 1. 0.84 0.69 0. 0. 0.57 1.32
time (sec) N/A 0.171 0.082 0.003 0. 0. 0.759 1.081


















Problem 117 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 110 110 168 142 0 0 155 343
normalized size 1 1. 1.53 1.29 0. 0. 1.41 3.12
time (sec) N/A 0.082 0.16 0.004 0. 0. 1.276 1.091


















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 241 241 224 188 0 0 155 321
normalized size 1 1. 0.93 0.78 0. 0. 0.64 1.33
time (sec) N/A 0.202 0.204 0.004 0. 0. 1.258 1.078


















Problem 119 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 136 136 193 180 0 0 194 367
normalized size 1 1. 1.42 1.32 0. 0. 1.43 2.7
time (sec) N/A 0.11 0.146 0.006 0. 0. 2.194 1.089


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 266 249 222 0 0 192 346
normalized size 1 1. 0.94 0.83 0. 0. 0.72 1.3
time (sec) N/A 0.23 0.207 0.006 0. 0. 2.155 1.083


















Problem 121 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 162 162 217 177 0 0 231 400
normalized size 1 1. 1.34 1.09 0. 0. 1.43 2.47
time (sec) N/A 0.13 0.178 0.013 0. 0. 6.646 1.073


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 291 291 274 225 0 0 231 378
normalized size 1 1. 0.94 0.77 0. 0. 0.79 1.3
time (sec) N/A 0.268 0.284 0.014 0. 0. 6.626 1.08


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 42 44 47 119 313 50
normalized size 1 1. 1.75 1.83 1.96 4.96 13.04 2.08
time (sec) N/A 0.018 0.015 0.004 1.442 1.293 0.459 1.053


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 99 68 116 0 83 116
normalized size 1 1. 1.01 0.69 1.18 0. 0.85 1.18
time (sec) N/A 0.067 0.067 0.004 1.536 0. 0.411 1.064


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 187 161 0 0 471 396
normalized size 1 1. 1.61 1.39 0. 0. 4.06 3.41
time (sec) N/A 0.095 0.051 0.002 0. 0. 5.494 1.083


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 277 229 280 0 0 466 371
normalized size 1 1. 0.83 1.01 0. 0. 1.68 1.34
time (sec) N/A 0.197 0.1 0.003 0. 0. 5.469 1.087


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 211 228 0 0 507 440
normalized size 1 1. 1.45 1.56 0. 0. 3.47 3.01
time (sec) N/A 0.128 0.201 0.003 0. 0. 7.278 1.086


















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 308 308 305 344 0 0 505 413
normalized size 1 1. 0.99 1.12 0. 0. 1.64 1.34
time (sec) N/A 0.255 0.33 0.004 0. 0. 7.284 1.095


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 244 286 0 0 563 481
normalized size 1 1. 1.36 1.6 0. 0. 3.15 2.69
time (sec) N/A 0.167 0.213 0.005 0. 0. 10.206 1.101


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 341 341 337 396 0 0 558 454
normalized size 1 1. 0.99 1.16 0. 0. 1.64 1.33
time (sec) N/A 0.311 0.307 0.006 0. 0. 10.127 1.098


















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 211 211 276 274 0 0 612 531
normalized size 1 1. 1.31 1.3 0. 0. 2.9 2.52
time (sec) N/A 0.211 0.258 0.013 0. 0. 16.479 1.098


















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 372 372 369 394 0 0 610 504
normalized size 1 1. 0.99 1.06 0. 0. 1.64 1.35
time (sec) N/A 0.379 0.394 0.013 0. 0. 16.342 1.089


















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 27 24 34 55 27 34
normalized size 1 1. 0.96 0.86 1.21 1.96 0.96 1.21
time (sec) N/A 0.011 0.002 0.04 0.956 1.056 0.06 1.069


















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 32 27 36 66 29 36
normalized size 1 1. 0.97 0.82 1.09 2. 0.88 1.09
time (sec) N/A 0.014 0.001 0.039 1.055 1.065 0.061 1.044


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 60 51 68 123 58 68
normalized size 1 1. 1. 0.85 1.13 2.05 0.97 1.13
time (sec) N/A 0.062 0.002 0.039 0.982 1. 0.066 1.055


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 27 36 66 31 36
normalized size 1 1. 1. 0.82 1.09 2. 0.94 1.09
time (sec) N/A 0.013 0.001 0.041 0.986 1.053 0.059 1.082


















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 60 51 68 123 60 68
normalized size 1 1. 1. 0.85 1.13 2.05 1. 1.13
time (sec) N/A 0.027 0.002 0.041 0.975 1.056 0.069 1.047


















Problem 138 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 65 65 65 54 72 134 61 72
normalized size 1 1. 1. 0.83 1.11 2.06 0.94 1.11
time (sec) N/A 0.098 0.003 0.04 1.01 1.087 0.068 1.057


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 92 77 103 190 90 103
normalized size 1 1. 1. 0.84 1.12 2.07 0.98 1.12
time (sec) N/A 0.053 0.003 0.041 0.981 1.123 0.07 1.059


















Problem 140 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 17 17 33 27 20 66 29 22
normalized size 1 1. 1.94 1.59 1.18 3.88 1.71 1.29
time (sec) N/A 0.005 0.001 0.039 1.014 1.055 0.059 1.061


















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 60 51 68 123 58 68
normalized size 1 1. 1.33 1.13 1.51 2.73 1.29 1.51
time (sec) N/A 0.019 0.002 0.038 0.993 1.044 0.065 1.074


















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 65 54 72 134 60 72
normalized size 1 1. 1.3 1.08 1.44 2.68 1.2 1.44
time (sec) N/A 0.02 0.003 0.042 1.002 1.025 0.066 1.054


















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 92 77 103 190 88 103
normalized size 1 1. 1.19 1. 1.34 2.47 1.14 1.34
time (sec) N/A 0.051 0.003 0.04 1.004 1.096 0.068 1.058


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 65 54 72 134 61 72
normalized size 1 1. 1.3 1.08 1.44 2.68 1.22 1.44
time (sec) N/A 0.023 0.003 0.039 1.044 1.089 0.066 1.056


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 92 77 103 190 90 103
normalized size 1 1. 1.19 1. 1.34 2.47 1.17 1.34
time (sec) N/A 0.042 0.004 0.039 0.942 0.986 0.068 1.051


















Problem 146 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 82 82 97 80 107 201 92 107
normalized size 1 1. 1.18 0.98 1.3 2.45 1.12 1.3
time (sec) N/A 0.084 0.004 0.04 0.942 1.071 0.071 1.06


















Problem 147 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 109 109 124 103 138 258 121 142
normalized size 1 1. 1.14 0.94 1.27 2.37 1.11 1.3
time (sec) N/A 0.08 0.006 0. 0.933 1.154 0.073 1.059


















Problem 148 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 151 151 180 151 203 375 180 208
normalized size 1 1. 1.19 1. 1.34 2.48 1.19 1.38
time (sec) N/A 0.106 0.004 0.001 0.95 0.924 0.085 1.054


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 220 248 0 0 518 452
normalized size 1 1. 1.42 1.6 0. 0. 3.34 2.92
time (sec) N/A 0.118 0.139 0.003 0. 0. 15.127 1.084


















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 253 326 0 0 583 505
normalized size 1 1. 1.35 1.73 0. 0. 3.1 2.69
time (sec) N/A 0.155 0.219 0.006 0. 0. 66.184 1.084


















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 286 280 0 0 0 555
normalized size 1 1. 1.3 1.27 0. 0. 0. 2.52
time (sec) N/A 0.189 0.308 0.012 0. 0. 0. 1.087


















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 78 114 166 882 88 131
normalized size 1 1. 0.77 1.13 1.64 8.73 0.87 1.3
time (sec) N/A 0.096 0.029 0.043 1.477 1.666 0.359 1.111


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 22 16 20 54 19 20
normalized size 1 1. 1. 0.73 0.91 2.45 0.86 0.91
time (sec) N/A 0.013 0.009 0.04 1.424 1.498 0.09 1.082


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 107 129 198 0 88 155
normalized size 1 1. 0.87 1.05 1.61 0. 0.72 1.26
time (sec) N/A 0.103 0.049 0.003 1.486 0. 0.454 1.098


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 78 114 166 869 88 131
normalized size 1 1. 0.77 1.13 1.64 8.6 0.87 1.3
time (sec) N/A 0.077 0.015 0.041 1.455 1.444 0.362 1.084


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 113 226 225 5063 68 177
normalized size 1 1. 0.8 1.6 1.6 35.91 0.48 1.26
time (sec) N/A 0.098 0.051 0.002 1.456 1.62 0.365 1.108


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 99 129 198 0 85 154
normalized size 1 1. 0.8 1.05 1.61 0. 0.69 1.25
time (sec) N/A 0.118 0.044 0.022 1.46 0. 0.459 1.11


















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A F(-1) B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 129 241 252 0 292 193
normalized size 1 1. 0.79 1.48 1.55 0. 1.79 1.18
time (sec) N/A 0.124 0.071 0.003 1.447 0. 3.075 1.113


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 12 15 31 10 15
normalized size 1 1. 1. 0.92 1.15 2.38 0.77 1.15
time (sec) N/A 0.004 0.003 0.039 0.943 1.392 0.076 1.075


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 108 125 201 1041 51 147
normalized size 1 1. 0.95 1.1 1.76 9.13 0.45 1.29
time (sec) N/A 0.099 0.031 0.043 1.452 1.61 0.3 1.131


















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A B A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 65 28 153 86 53 126
normalized size 1 1. 1.81 0.78 4.25 2.39 1.47 3.5
time (sec) N/A 0.031 0.03 0.042 1.47 1.476 0.306 1.088


















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 128 140 231 0 199 169
normalized size 1 1. 0.94 1.03 1.7 0. 1.46 1.24
time (sec) N/A 0.118 0.058 0.041 1.455 0. 1.189 1.109


















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 108 125 205 743 70 147
normalized size 1 1. 0.95 1.1 1.8 6.52 0.61 1.29
time (sec) N/A 0.121 0.028 0.001 1.45 1.647 0.273 1.109


















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 148 237 263 5162 148 185
normalized size 1 1. 0.96 1.54 1.71 33.52 0.96 1.2
time (sec) N/A 0.117 0.092 0.041 1.458 1.951 1.078 1.105


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 125 140 235 0 189 167
normalized size 1 1. 0.92 1.03 1.73 0. 1.39 1.23
time (sec) N/A 0.14 0.063 0.046 1.454 0. 1.171 1.103


















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A F(-1) B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 164 252 279 0 580 201
normalized size 1 1. 0.93 1.43 1.59 0. 3.3 1.14
time (sec) N/A 0.144 0.105 0.003 1.481 0. 6.537 1.122


















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 8 7 8 18 5 9
normalized size 1 1. 1. 0.88 1. 2.25 0.62 1.12
time (sec) N/A 0.008 0.001 0. 0.954 1.487 0.056 1.05


















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 50 102 103 440 73 95
normalized size 1 1. 0.94 1.92 1.94 8.3 1.38 1.79
time (sec) N/A 0.042 0.035 0.003 1.437 1.561 0.324 1.062


















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 203 171 0 0 187 392
normalized size 1 1. 1.64 1.38 0. 0. 1.51 3.16
time (sec) N/A 0.087 0.05 0.004 0. 0. 1.029 1.09


















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 277 283 286 0 0 187 365
normalized size 1 1. 1.02 1.03 0. 0. 0.68 1.32
time (sec) N/A 0.196 0.188 0.003 0. 0. 0.997 1.063


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 249 244 0 0 2394 539
normalized size 1 1. 1.68 1.65 0. 0. 16.18 3.64
time (sec) N/A 0.203 0.081 0.005 0. 0. 156.777 1.088


















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 221 289 0 0 1406 528
normalized size 1 1. 1.28 1.68 0. 0. 8.17 3.07
time (sec) N/A 0.165 0.314 0.008 0. 0. 169.346 1.085


















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 221 221 263 328 0 0 0 595
normalized size 1 1. 1.19 1.48 0. 0. 0. 2.69
time (sec) N/A 0.263 0.492 0.011 0. 0. 0. 1.082


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 266 313 368 0 0 0 662
normalized size 1 1. 1.18 1.38 0. 0. 0. 2.49
time (sec) N/A 0.32 0.324 0.012 0. 0. 0. 1.099


















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 319 319 311 429 0 0 2392 459
normalized size 1 1. 0.97 1.34 0. 0. 7.5 1.44
time (sec) N/A 0.351 0.318 0.005 0. 0. 158.354 1.104


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 341 341 319 482 0 0 1406 493
normalized size 1 1. 0.94 1.41 0. 0. 4.12 1.45
time (sec) N/A 0.305 0.196 0.009 0. 0. 170.756 1.079


















Problem 177 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 394 394 366 519 0 0 0 562
normalized size 1 1. 0.93 1.32 0. 0. 0. 1.43
time (sec) N/A 0.439 0.278 0.01 0. 0. 0. 1.098


















Problem 178 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 437 437 411 560 0 0 0 629
normalized size 1 1. 0.94 1.28 0. 0. 0. 1.44
time (sec) N/A 0.531 0.366 0.014 0. 0. 0. 1.093


















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 9 8 20 41 15 20
normalized size 1 1. 0.82 0.73 1.82 3.73 1.36 1.82
time (sec) N/A 0.013 0.001 0.002 0.964 1.728 0.076 1.103


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 14 8 16 26 8 16
normalized size 1 1. 1.27 0.73 1.45 2.36 0.73 1.45
time (sec) N/A 0.012 0.001 0.001 0.94 1.682 0.066 1.065


















Problem 181 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 9 9 9 8 9 19 5 9
normalized size 1 1. 1. 0.89 1. 2.11 0.56 1.
time (sec) N/A 0.009 0. 0.001 0.936 1.671 0.057 1.05


















Problem 182 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 8 8 8 7 8 18 5 9
normalized size 1 1. 1. 0.88 1. 2.25 0.62 1.12
time (sec) N/A 0.007 0.001 0. 0.943 1.702 0.057 1.053


















Problem 183 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 7 7 7 8 9 16 5 9
normalized size 1 1. 1. 1.14 1.29 2.29 0.71 1.29
time (sec) N/A 0.016 0.001 0.001 0.96 1.664 0.08 1.059


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 9 8 16 28 10 9
normalized size 1 1. 0.82 0.73 1.45 2.55 0.91 0.82
time (sec) N/A 0.018 0.001 0.002 0.937 1.661 0.097 1.068


















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 9 8 23 41 17 9
normalized size 1 1. 0.82 0.73 2.09 3.73 1.55 0.82
time (sec) N/A 0.019 0.001 0. 0.942 1.695 0.103 1.053


















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 256 296 0 0 0 539
normalized size 1 1. 1.55 1.79 0. 0. 0. 3.27
time (sec) N/A 0.261 0.257 0.045 0. 0. 0. 1.084


















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 188 188 301 367 0 0 0 807
normalized size 1 1. 1.6 1.95 0. 0. 0. 4.29
time (sec) N/A 0.327 0.376 0.045 0. 0. 0. 1.09


















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 205 205 318 393 0 0 0 828
normalized size 1 1. 1.55 1.92 0. 0. 0. 4.04
time (sec) N/A 0.313 0.351 0.045 0. 0. 0. 1.102


















Problem 189 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 337 337 342 462 0 0 0 506
normalized size 1 1. 1.01 1.37 0. 0. 0. 1.5
time (sec) N/A 0.399 0.325 0.003 0. 0. 0. 1.083


















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 384 384 427 603 0 0 0 759
normalized size 1 1. 1.11 1.57 0. 0. 0. 1.98
time (sec) N/A 0.565 0.307 0.004 0. 0. 0. 1.097


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 402 402 445 627 0 0 0 780
normalized size 1 1. 1.11 1.56 0. 0. 0. 1.94
time (sec) N/A 0.567 0.309 0.006 0. 0. 0. 1.097


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 257 340 0 0 0 574
normalized size 1 1. 1.4 1.85 0. 0. 0. 3.12
time (sec) N/A 0.204 0.163 0.008 0. 0. 0. 1.076


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 302 409 0 0 0 848
normalized size 1 1. 1.49 2.01 0. 0. 0. 4.18
time (sec) N/A 0.274 0.222 0.009 0. 0. 0. 1.093


















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 338 431 0 0 0 884
normalized size 1 1. 1.5 1.92 0. 0. 0. 3.93
time (sec) N/A 0.31 0.24 0.011 0. 0. 0. 1.12


















Problem 195 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 353 353 359 515 0 0 0 537
normalized size 1 1. 1.02 1.46 0. 0. 0. 1.52
time (sec) N/A 0.34 0.242 0.009 0. 0. 0. 1.107


















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 395 395 415 654 0 0 0 795
normalized size 1 1. 1.05 1.66 0. 0. 0. 2.01
time (sec) N/A 0.492 0.344 0.01 0. 0. 0. 1.096


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 417 417 460 675 0 0 0 833
normalized size 1 1. 1.1 1.62 0. 0. 0. 2.
time (sec) N/A 0.536 0.328 0.011 0. 0. 0. 1.112


















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 241 241 309 389 0 0 0 656
normalized size 1 1. 1.28 1.61 0. 0. 0. 2.72
time (sec) N/A 0.339 0.287 0.011 0. 0. 0. 1.129


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 268 268 359 472 0 0 0 942
normalized size 1 1. 1.34 1.76 0. 0. 0. 3.51
time (sec) N/A 0.435 0.352 0.011 0. 0. 0. 1.12


















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 285 285 380 488 0 0 0 986
normalized size 1 1. 1.33 1.71 0. 0. 0. 3.46
time (sec) N/A 0.391 0.277 0.012 0. 0. 0. 1.124


















Problem 201 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 413 413 411 561 0 0 0 620
normalized size 1 1. 1. 1.36 0. 0. 0. 1.5
time (sec) N/A 0.486 0.364 0.012 0. 0. 0. 1.108


















Problem 202 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 463 463 473 716 0 0 0 892
normalized size 1 1. 1.02 1.55 0. 0. 0. 1.93
time (sec) N/A 0.686 0.531 0.011 0. 0. 0. 1.124


















Problem 203 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 480 480 500 731 0 0 0 936
normalized size 1 1. 1.04 1.52 0. 0. 0. 1.95
time (sec) N/A 0.666 0.429 0.013 0. 0. 0. 1.117


















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 293 293 360 434 0 0 0 738
normalized size 1 1. 1.23 1.48 0. 0. 0. 2.52
time (sec) N/A 0.431 0.395 0.013 0. 0. 0. 1.084


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 331 331 422 522 0 0 0 1044
normalized size 1 1. 1.27 1.58 0. 0. 0. 3.15
time (sec) N/A 0.567 0.368 0.015 0. 0. 0. 1.103


















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 349 349 439 538 0 0 0 1087
normalized size 1 1. 1.26 1.54 0. 0. 0. 3.11
time (sec) N/A 0.524 0.368 0.015 0. 0. 0. 1.112


















Problem 207 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 462 462 461 607 0 0 0 703
normalized size 1 1. 1. 1.31 0. 0. 0. 1.52
time (sec) N/A 0.619 0.462 0.014 0. 0. 0. 1.093


















Problem 208 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 516 516 530 767 0 0 0 992
normalized size 1 1. 1.03 1.49 0. 0. 0. 1.92
time (sec) N/A 0.85 0.703 0.014 0. 0. 0. 1.107


















Problem 209 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 534 534 555 783 0 0 0 1035
normalized size 1 1. 1.04 1.47 0. 0. 0. 1.94
time (sec) N/A 0.824 0.553 0.014 0. 0. 0. 1.109


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 79 96 0 0 61 0
normalized size 1 1. 0.65 0.79 0. 0. 0.5 0.
time (sec) N/A 0.068 0.047 0.073 0. 0. 1.84 0.


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 81 90 0 0 97 0
normalized size 1 1. 0.93 1.03 0. 0. 1.11 0.
time (sec) N/A 0.062 0.047 0.015 0. 0. 1.962 0.


















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 83 95 0 0 92 0
normalized size 1 1. 0.93 1.07 0. 0. 1.03 0.
time (sec) N/A 0.06 0.042 0.019 0. 0. 1.965 0.


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 85 101 0 0 66 0
normalized size 1 1. 0.67 0.8 0. 0. 0.52 0.
time (sec) N/A 0.072 0.045 0.018 0. 0. 1.965 0.


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 257 257 131 193 0 0 102 0
normalized size 1 1. 0.51 0.75 0. 0. 0.4 0.
time (sec) N/A 0.124 0.103 0.005 0. 0. 2.157 0.


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 13 16 28 80 16
normalized size 1 1. 1. 0.93 1.14 2. 5.71 1.14
time (sec) N/A 0.006 0.009 0.043 1.059 1.387 7.557 1.078


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 27 24 34 74 104 43
normalized size 1 1. 0.93 0.83 1.17 2.55 3.59 1.48
time (sec) N/A 0.023 0.037 0.042 1.073 1.35 11.095 1.074


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 27 24 31 69 109 30
normalized size 1 1. 1.08 0.96 1.24 2.76 4.36 1.2
time (sec) N/A 0.028 0.037 0.043 1.082 1.505 10.461 1.085


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 35 59 93 133 42
normalized size 1 1. 1. 0.92 1.55 2.45 3.5 1.11
time (sec) N/A 0.03 0.042 0.042 1.078 1.302 13.776 1.097


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 11 14 24 58 14
normalized size 1 1. 1. 0.92 1.17 2. 4.83 1.17
time (sec) N/A 0.003 0.005 0.004 1.544 1.309 2.615 1.067


















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 385 385 281 516 0 0 260 0
normalized size 1 1. 0.73 1.34 0. 0. 0.68 0.
time (sec) N/A 0.424 0.224 0.017 0. 0. 5.734 0.


















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 51 173 0 2955 36 136
normalized size 1 1. 0.47 1.59 0. 27.11 0.33 1.25
time (sec) N/A 0.064 0.01 0.019 0. 8.737 0.372 1.107


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 47 169 0 2493 36 136
normalized size 1 1. 0.43 1.55 0. 22.87 0.33 1.25
time (sec) N/A 0.041 0.009 0.017 0. 8.558 0.373 1.093


















Problem 223 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 208 208 187 266 282 429 192 332
normalized size 1 1. 0.9 1.28 1.36 2.06 0.92 1.6
time (sec) N/A 0.316 0.09 0.005 0.956 1.273 1.167 1.057


















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 170 170 154 218 228 351 155 266
normalized size 1 1. 0.91 1.28 1.34 2.06 0.91 1.56
time (sec) N/A 0.242 0.066 0.004 0.955 1.234 1.137 1.064


















Problem 225 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 132 132 119 170 174 267 117 200
normalized size 1 1. 0.9 1.29 1.32 2.02 0.89 1.52
time (sec) N/A 0.183 0.053 0.003 0.953 1.273 1.082 1.069


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 88 124 123 190 83 136
normalized size 1 1. 0.92 1.29 1.28 1.98 0.86 1.42
time (sec) N/A 0.14 0.043 0.003 0.949 1.195 1.007 1.069


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 75 97 104 171 68 107
normalized size 1 1. 0.94 1.21 1.3 2.14 0.85 1.34
time (sec) N/A 0.12 0.031 0.005 0.958 1.588 4.913 1.058


















Problem 228 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 81 81 77 94 104 180 70 128
normalized size 1 1. 0.95 1.16 1.28 2.22 0.86 1.58
time (sec) N/A 0.116 0.043 0.007 0.966 1.503 11.439 1.059


















Problem 229 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 95 95 88 116 126 213 85 170
normalized size 1 1. 0.93 1.22 1.33 2.24 0.89 1.79
time (sec) N/A 0.129 0.069 0.007 0.948 1.527 51.496 1.055


















Problem 230 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 128 128 128 161 169 269 0 248
normalized size 1 1. 1. 1.26 1.32 2.1 0. 1.94
time (sec) N/A 0.162 0.064 0.007 0.953 1.471 0. 1.067


















Problem 231 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 164 164 164 210 224 355 0 317
normalized size 1 1. 1. 1.28 1.37 2.16 0. 1.93
time (sec) N/A 0.181 0.062 0.009 0.955 1.513 0. 1.068


















Problem 232 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 205 205 194 260 281 441 0 387
normalized size 1 1. 0.95 1.27 1.37 2.15 0. 1.89
time (sec) N/A 0.209 0.144 0.01 0.959 1.667 0. 1.066


















Problem 233 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 348 348 351 592 0 767 450 613
normalized size 1 1. 1.01 1.7 0. 2.2 1.29 1.76
time (sec) N/A 0.333 0.079 0.003 0. 1.398 1.874 1.062


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 316 316 311 554 0 726 496 595
normalized size 1 1. 0.98 1.75 0. 2.3 1.57 1.88
time (sec) N/A 0.306 0.098 0.003 0. 1.444 1.451 1.082


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 312 312 306 544 0 679 411 541
normalized size 1 1. 0.98 1.74 0. 2.18 1.32 1.73
time (sec) N/A 0.298 0.093 0.004 0. 1.376 1.822 1.072


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 279 279 266 502 0 635 459 521
normalized size 1 1. 0.95 1.8 0. 2.28 1.65 1.87
time (sec) N/A 0.273 0.092 0.004 0. 1.407 1.383 1.075


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 274 274 264 492 0 566 371 467
normalized size 1 1. 0.96 1.8 0. 2.07 1.35 1.7
time (sec) N/A 0.267 0.091 0.003 0. 1.297 1.719 1.089


















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 245 245 231 450 0 1289 422 466
normalized size 1 1. 0.94 1.84 0. 5.26 1.72 1.9
time (sec) N/A 0.216 0.16 0.003 0. 1.519 1.473 1.084


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 240 240 229 442 0 1350 340 414
normalized size 1 1. 0.95 1.84 0. 5.62 1.42 1.72
time (sec) N/A 0.153 0.147 0.004 0. 1.361 1.89 1.075


















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 227 224 419 0 1260 406 428
normalized size 1 1. 0.99 1.85 0. 5.55 1.79 1.89
time (sec) N/A 0.193 0.128 0.004 0. 1.444 2.515 1.095


















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 218 414 0 1280 326 378
normalized size 1 1. 0.97 1.85 0. 5.71 1.46 1.69
time (sec) N/A 0.17 0.117 0.005 0. 1.537 3.058 1.076


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 227 227 220 412 0 1251 411 417
normalized size 1 1. 0.97 1.81 0. 5.51 1.81 1.84
time (sec) N/A 0.186 0.111 0.007 0. 1.386 8.047 1.081


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 220 410 0 1312 328 370
normalized size 1 1. 0.98 1.82 0. 5.83 1.46 1.64
time (sec) N/A 0.17 0.082 0.005 0. 1.308 9.841 1.08


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 231 440 0 1359 432 444
normalized size 1 1. 0.95 1.82 0. 5.62 1.79 1.83
time (sec) N/A 0.188 0.111 0.007 0. 1.435 30.419 1.075


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 244 244 231 441 0 1353 348 401
normalized size 1 1. 0.95 1.81 0. 5.55 1.43 1.64
time (sec) N/A 0.174 0.112 0.008 0. 1.378 52.712 1.074


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 277 277 266 491 0 597 473 508
normalized size 1 1. 0.96 1.77 0. 2.16 1.71 1.83
time (sec) N/A 0.222 0.112 0.009 0. 1.41 142.622 1.085


















Problem 247 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 280 280 266 493 0 667 0 456
normalized size 1 1. 0.95 1.76 0. 2.38 0. 1.63
time (sec) N/A 0.199 0.115 0.008 0. 1.396 0. 1.072


















Problem 248 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 313 313 308 546 0 711 0 566
normalized size 1 1. 0.98 1.74 0. 2.27 0. 1.81
time (sec) N/A 0.238 0.099 0.009 0. 1.343 0. 1.078


















Problem 249 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 315 315 311 548 0 759 0 531
normalized size 1 1. 0.99 1.74 0. 2.41 0. 1.69
time (sec) N/A 0.229 0.097 0.009 0. 1.384 0. 1.077


















Problem 250 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 351 351 346 600 0 798 0 640
normalized size 1 1. 0.99 1.71 0. 2.27 0. 1.82
time (sec) N/A 0.258 0.11 0.01 0. 1.272 0. 1.104


















Problem 251 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 220 220 205 288 300 656 224 405
normalized size 1 1. 0.93 1.31 1.36 2.98 1.02 1.84
time (sec) N/A 0.341 0.139 0.012 0.958 1.244 11.509 1.066


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 167 240 243 555 180 335
normalized size 1 1. 0.93 1.33 1.35 3.08 1. 1.86
time (sec) N/A 0.265 0.111 0.013 0.965 1.259 11.093 1.058


















Problem 253 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 140 140 129 192 186 432 138 293
normalized size 1 1. 0.92 1.37 1.33 3.09 0.99 2.09
time (sec) N/A 0.199 0.098 0.01 0.959 1.305 10.644 1.064


















Problem 254 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 103 103 93 142 132 305 97 278
normalized size 1 1. 0.9 1.38 1.28 2.96 0.94 2.7
time (sec) N/A 0.145 0.058 0.01 0.959 1.135 9.22 1.058


















Problem 255 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 100 100 95 125 135 293 95 169
normalized size 1 1. 0.95 1.25 1.35 2.93 0.95 1.69
time (sec) N/A 0.125 0.122 0.011 0.956 1.435 33.825 1.073


















Problem 256 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 109 109 97 132 157 340 0 177
normalized size 1 1. 0.89 1.21 1.44 3.12 0. 1.62
time (sec) N/A 0.142 0.077 0.014 0.955 1.494 0. 1.059


















Problem 257 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 130 130 118 167 186 431 0 271
normalized size 1 1. 0.91 1.28 1.43 3.32 0. 2.08
time (sec) N/A 0.154 0.115 0.015 0.979 1.428 0. 1.07


















Problem 258 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 175 175 160 229 244 549 0 371
normalized size 1 1. 0.91 1.31 1.39 3.14 0. 2.12
time (sec) N/A 0.203 0.105 0.018 1.049 1.62 0. 1.067


















Problem 259 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 214 214 198 282 305 670 0 447
normalized size 1 1. 0.93 1.32 1.43 3.13 0. 2.09
time (sec) N/A 0.234 0.203 0.02 1.017 1.608 0. 1.074


















Problem 260 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 369 369 364 622 0 1145 490 609
normalized size 1 1. 0.99 1.69 0. 3.1 1.33 1.65
time (sec) N/A 0.467 0.353 0.01 0. 1.413 10.508 1.078


















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 335 335 319 584 0 1057 530 597
normalized size 1 1. 0.95 1.74 0. 3.16 1.58 1.78
time (sec) N/A 0.705 0.166 0.01 0. 1.298 37.454 1.087


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 328 328 315 567 0 992 440 532
normalized size 1 1. 0.96 1.73 0. 3.02 1.34 1.62
time (sec) N/A 0.369 0.248 0.01 0. 1.366 10.915 1.08


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 298 298 282 529 0 2094 484 537
normalized size 1 1. 0.95 1.78 0. 7.03 1.62 1.8
time (sec) N/A 0.463 0.157 0.009 0. 1.705 35.782 1.084


















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 288 288 277 514 0 2125 398 471
normalized size 1 1. 0.96 1.78 0. 7.38 1.38 1.64
time (sec) N/A 0.326 0.157 0.01 0. 1.447 10.133 1.1


















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 271 271 255 495 0 1935 461 494
normalized size 1 1. 0.94 1.83 0. 7.14 1.7 1.82
time (sec) N/A 0.289 0.153 0.009 0. 1.482 16.851 1.076


















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 264 264 251 482 0 1917 376 433
normalized size 1 1. 0.95 1.83 0. 7.26 1.42 1.64
time (sec) N/A 0.264 0.145 0.009 0. 1.524 6.359 1.072


















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 265 265 255 474 0 1877 457 477
normalized size 1 1. 0.96 1.79 0. 7.08 1.72 1.8
time (sec) N/A 0.253 0.153 0.012 0. 1.48 26.608 1.076


















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 260 260 250 463 0 1952 381 417
normalized size 1 1. 0.96 1.78 0. 7.51 1.47 1.6
time (sec) N/A 0.246 0.152 0.011 0. 1.463 58.686 1.081


















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 269 269 255 486 0 1968 473 483
normalized size 1 1. 0.95 1.81 0. 7.32 1.76 1.8
time (sec) N/A 0.288 0.168 0.013 0. 1.525 138.391 1.082


















Problem 270 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 270 270 253 477 0 1991 0 429
normalized size 1 1. 0.94 1.77 0. 7.37 0. 1.59
time (sec) N/A 0.272 0.162 0.011 0. 1.559 0. 1.081


















Problem 271 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 297 297 281 529 0 2159 0 522
normalized size 1 1. 0.95 1.78 0. 7.27 0. 1.76
time (sec) N/A 0.384 0.179 0.015 0. 1.465 0. 1.117


















Problem 272 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 297 297 280 520 0 2182 0 468
normalized size 1 1. 0.94 1.75 0. 7.35 0. 1.58
time (sec) N/A 0.37 0.178 0.014 0. 1.555 0. 1.087


















Problem 273 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 334 334 319 575 0 1034 0 590
normalized size 1 1. 0.96 1.72 0. 3.1 0. 1.77
time (sec) N/A 0.457 0.181 0.016 0. 1.372 0. 1.101


















Problem 274 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 335 335 317 566 0 1099 0 528
normalized size 1 1. 0.95 1.69 0. 3.28 0. 1.58
time (sec) N/A 0.434 0.187 0.017 0. 1.384 0. 1.086


















Problem 275 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 375 375 370 631 0 1188 0 651
normalized size 1 1. 0.99 1.68 0. 3.17 0. 1.74
time (sec) N/A 0.534 0.36 0.016 0. 1.361 0. 1.081


















Problem 276 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 266 266 246 361 371 883 0 471
normalized size 1 1. 0.92 1.36 1.39 3.32 0. 1.77
time (sec) N/A 0.436 0.143 0.015 0.954 1.234 0. 1.078


















Problem 277 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 226 226 208 313 315 765 0 402
normalized size 1 1. 0.92 1.38 1.39 3.38 0. 1.78
time (sec) N/A 0.331 0.12 0.013 0.963 1.346 0. 1.097


















Problem 278 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 186 186 170 266 258 635 0 319
normalized size 1 1. 0.91 1.43 1.39 3.41 0. 1.72
time (sec) N/A 0.269 0.099 0.012 0.95 1.294 0. 1.079


















Problem 279 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 146 146 145 213 198 470 0 197
normalized size 1 1. 0.99 1.46 1.36 3.22 0. 1.35
time (sec) N/A 0.201 0.074 0.013 0.953 1.26 0. 1.088


















Problem 280 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 109 109 105 156 147 329 0 135
normalized size 1 1. 0.96 1.43 1.35 3.02 0. 1.24
time (sec) N/A 0.152 0.054 0.01 0.951 1.165 0. 1.078


















Problem 281 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 114 114 104 147 174 374 0 173
normalized size 1 1. 0.91 1.29 1.53 3.28 0. 1.52
time (sec) N/A 0.155 0.106 0.015 0.953 1.368 0. 1.07


















Problem 282 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 134 134 121 163 194 497 0 234
normalized size 1 1. 0.9 1.22 1.45 3.71 0. 1.75
time (sec) N/A 0.171 0.091 0.014 0.962 1.4 0. 1.097


















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 149 213 246 652 0 255
normalized size 1 1. 0.91 1.31 1.51 4. 0. 1.56
time (sec) N/A 0.2 0.106 0.017 0.98 1.31 0. 1.073


















Problem 284 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 218 218 200 293 313 837 0 437
normalized size 1 1. 0.92 1.34 1.44 3.84 0. 2.
time (sec) N/A 0.264 0.137 0.02 0.981 1.443 0. 1.101


















Problem 285 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 258 258 238 349 378 984 0 513
normalized size 1 1. 0.92 1.35 1.47 3.81 0. 1.99
time (sec) N/A 0.304 0.18 0.019 0.988 1.64 0. 1.077


















Problem 286 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 416 416 411 706 0 1589 0 675
normalized size 1 1. 0.99 1.7 0. 3.82 0. 1.62
time (sec) N/A 0.742 0.482 0.013 0. 1.326 0. 1.091


















Problem 287 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 384 384 380 668 0 1496 0 663
normalized size 1 1. 0.99 1.74 0. 3.9 0. 1.73
time (sec) N/A 1.05 0.402 0.013 0. 1.352 0. 1.092


















Problem 288 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 375 375 362 651 0 1424 0 598
normalized size 1 1. 0.97 1.74 0. 3.8 0. 1.59
time (sec) N/A 0.606 0.374 0.012 0. 1.443 0. 1.088


















Problem 289 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 345 345 329 611 0 2915 0 601
normalized size 1 1. 0.95 1.77 0. 8.45 0. 1.74
time (sec) N/A 0.763 0.224 0.013 0. 1.481 0. 1.092


















Problem 290 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 336 336 323 596 0 2986 0 539
normalized size 1 1. 0.96 1.77 0. 8.89 0. 1.6
time (sec) N/A 0.509 0.313 0.012 0. 1.461 0. 1.108


















Problem 291 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 316 316 300 574 0 2723 0 558
normalized size 1 1. 0.95 1.82 0. 8.62 0. 1.77
time (sec) N/A 0.505 0.206 0.011 0. 1.535 0. 1.093


















Problem 292 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 307 307 294 561 0 2716 0 495
normalized size 1 1. 0.96 1.83 0. 8.85 0. 1.61
time (sec) N/A 0.412 0.202 0.011 0. 1.608 0. 1.092


















Problem 293 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 301 301 284 550 0 2538 0 522
normalized size 1 1. 0.94 1.83 0. 8.43 0. 1.73
time (sec) N/A 0.368 0.2 0.011 0. 1.493 0. 1.094


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 292 292 279 539 0 2587 418 463
normalized size 1 1. 0.96 1.85 0. 8.86 1.43 1.59
time (sec) N/A 0.307 0.19 0.011 0. 1.499 170.751 1.097


















Problem 295 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 303 303 286 547 0 2591 0 525
normalized size 1 1. 0.94 1.81 0. 8.55 0. 1.73
time (sec) N/A 0.339 0.223 0.014 0. 1.505 0. 1.112


















Problem 296 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 301 301 283 539 0 2618 0 486
normalized size 1 1. 0.94 1.79 0. 8.7 0. 1.61
time (sec) N/A 0.329 0.213 0.013 0. 1.844 0. 1.084


















Problem 297 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 317 317 303 574 0 2773 0 547
normalized size 1 1. 0.96 1.81 0. 8.75 0. 1.73
time (sec) N/A 0.37 0.232 0.013 0. 2.072 0. 1.101


















Problem 298 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 316 316 299 566 0 2785 0 491
normalized size 1 1. 0.95 1.79 0. 8.81 0. 1.55
time (sec) N/A 0.368 0.233 0.017 0. 1.83 0. 1.1


















Problem 299 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 343 343 328 611 0 3031 0 586
normalized size 1 1. 0.96 1.78 0. 8.84 0. 1.71
time (sec) N/A 0.569 0.238 0.02 0. 1.761 0. 1.099


















Problem 300 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 341 341 324 603 0 3013 0 532
normalized size 1 1. 0.95 1.77 0. 8.84 0. 1.56
time (sec) N/A 0.547 0.236 0.017 0. 1.777 0. 1.098


















Problem 301 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 381 381 366 659 0 1472 0 656
normalized size 1 1. 0.96 1.73 0. 3.86 0. 1.72
time (sec) N/A 0.714 0.392 0.019 0. 1.619 0. 1.098


















Problem 302 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 380 380 376 651 0 1543 0 594
normalized size 1 1. 0.99 1.71 0. 4.06 0. 1.56
time (sec) N/A 0.669 0.429 0.018 0. 1.625 0. 1.08


















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 424 424 419 716 0 1638 0 717
normalized size 1 1. 0.99 1.69 0. 3.86 0. 1.69
time (sec) N/A 0.853 0.466 0.022 0. 1.686 0. 1.105


















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 59 45 59 140 53 61
normalized size 1 1. 1.09 0.83 1.09 2.59 0.98 1.13
time (sec) N/A 0.072 0.014 0.005 1.415 1.555 0.129 1.05


















Problem 305 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 30 25 32 73 24 34
normalized size 1 1. 1. 0.83 1.07 2.43 0.8 1.13
time (sec) N/A 0.04 0.004 0.004 1.423 1.515 0.09 1.075


















Problem 306 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 44 44 53 38 50 117 44 51
normalized size 1 1. 1.2 0.86 1.14 2.66 1. 1.16
time (sec) N/A 0.06 0.009 0.003 1.412 1.499 0.123 1.061


















Problem 307 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 41 41 50 35 46 112 42 47
normalized size 1 1. 1.22 0.85 1.12 2.73 1.02 1.15
time (sec) N/A 0.042 0.007 0.004 1.412 1.546 0.131 1.058


















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 53 37 49 126 46 51
normalized size 1 1. 1.26 0.88 1.17 3. 1.1 1.21
time (sec) N/A 0.049 0.008 0.006 1.423 1.493 0.175 1.088


















Problem 309 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 60 44 58 144 49 61
normalized size 1 1. 1.22 0.9 1.18 2.94 1. 1.24
time (sec) N/A 0.05 0.015 0.008 1.472 1.534 0.195 1.065


















Problem 310 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 32 27 38 85 27 39
normalized size 1 1. 1. 0.84 1.19 2.66 0.84 1.22
time (sec) N/A 0.033 0.004 0.007 1.401 1.423 0.109 1.047


















Problem 311 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 41 41 47 35 46 112 42 47
normalized size 1 1. 1.15 0.85 1.12 2.73 1.02 1.15
time (sec) N/A 0.041 0.007 0.004 1.407 1.548 0.138 1.068


















Problem 312 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 39 39 53 33 43 108 41 45
normalized size 1 1. 1.36 0.85 1.1 2.77 1.05 1.15
time (sec) N/A 0.04 0.01 0.005 1.408 1.501 0.128 1.056


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 55 44 58 112 49 61
normalized size 1 1. 1. 0.8 1.05 2.04 0.89 1.11
time (sec) N/A 0.055 0.003 0.002 0.928 1.295 0.064 1.064


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 55 44 58 112 49 61
normalized size 1 1. 1. 0.8 1.05 2.04 0.89 1.11
time (sec) N/A 0.038 0.002 0.001 0.946 1.284 0.064 1.067


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 41 54 104 46 57
normalized size 1 1. 1. 0.82 1.08 2.08 0.92 1.14
time (sec) N/A 0.025 0.002 0.002 0.95 1.283 0.065 1.049


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 46 39 51 103 44 55
normalized size 1 1. 1. 0.85 1.11 2.24 0.96 1.2
time (sec) N/A 0.025 0.004 0.003 0.949 1.491 0.272 1.083


















Problem 317 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 44 44 44 39 51 113 41 55
normalized size 1 1. 1. 0.89 1.16 2.57 0.93 1.25
time (sec) N/A 0.035 0.005 0.004 0.943 1.439 0.296 1.067


















Problem 318 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 44 44 44 39 51 111 42 55
normalized size 1 1. 1. 0.89 1.16 2.52 0.95 1.25
time (sec) N/A 0.034 0.004 0.005 0.937 1.504 0.366 1.062


















Problem 319 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 82 82 97 80 107 198 92 111
normalized size 1 1. 1.18 0.98 1.3 2.41 1.12 1.35
time (sec) N/A 0.059 0.004 0.002 0.939 1.221 0.074 1.08


















Problem 320 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 82 82 97 80 107 196 94 111
normalized size 1 1. 1.18 0.98 1.3 2.39 1.15 1.35
time (sec) N/A 0.051 0.003 0. 0.933 1.316 0.071 1.06


















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 92 77 103 185 88 107
normalized size 1 1. 1.19 1. 1.34 2.4 1.14 1.39
time (sec) N/A 0.061 0.003 0.001 0.939 1.362 0.098 1.063


















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 88 75 100 184 88 105
normalized size 1 1. 1. 0.85 1.14 2.09 1. 1.19
time (sec) N/A 0.052 0.008 0.001 0.949 1.495 0.353 1.051


















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 83 74 99 204 82 104
normalized size 1 1. 1. 0.89 1.19 2.46 0.99 1.25
time (sec) N/A 0.063 0.008 0.005 0.948 1.534 0.34 1.052


















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 84 75 100 198 85 105
normalized size 1 1. 1. 0.89 1.19 2.36 1.01 1.25
time (sec) N/A 0.064 0.008 0.006 0.943 1.466 0.395 1.053


















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 139 116 155 288 138 161
normalized size 1 1. 1.26 1.05 1.41 2.62 1.25 1.46
time (sec) N/A 0.079 0.004 0.001 0.941 1.307 0.075 1.059


















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 139 116 155 285 138 161
normalized size 1 1. 1.26 1.05 1.41 2.59 1.25 1.46
time (sec) N/A 0.069 0.004 0.001 0.919 1.268 0.076 1.082


















Problem 327 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 105 105 134 113 151 274 134 157
normalized size 1 1. 1.28 1.08 1.44 2.61 1.28 1.5
time (sec) N/A 0.097 0.004 0.001 0.934 1.284 0.075 1.083


















Problem 328 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 127 127 127 110 147 265 131 154
normalized size 1 1. 1. 0.87 1.16 2.09 1.03 1.21
time (sec) N/A 0.074 0.009 0.001 0.953 1.492 0.376 1.073


















Problem 329 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 125 125 125 110 147 305 128 154
normalized size 1 1. 1. 0.88 1.18 2.44 1.02 1.23
time (sec) N/A 0.092 0.008 0.006 0.94 1.453 0.399 1.058


















Problem 330 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 126 126 126 111 149 308 129 155
normalized size 1 1. 1. 0.88 1.18 2.44 1.02 1.23
time (sec) N/A 0.086 0.009 0.006 0.936 1.467 0.461 1.055


















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 181 152 204 373 184 211
normalized size 1 1. 1.31 1.1 1.48 2.7 1.33 1.53
time (sec) N/A 0.099 0.005 0.001 0.949 1.304 0.087 1.062


















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 181 152 204 371 185 211
normalized size 1 1. 1.31 1.1 1.48 2.69 1.34 1.53
time (sec) N/A 0.093 0.004 0.002 0.94 1.301 0.087 1.051


















Problem 333 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 130 130 173 148 198 355 178 205
normalized size 1 1. 1.33 1.14 1.52 2.73 1.37 1.58
time (sec) N/A 0.145 0.004 0.001 0.935 1.283 0.084 1.064


















Problem 334 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 166 166 166 145 194 347 175 203
normalized size 1 1. 1. 0.87 1.17 2.09 1.05 1.22
time (sec) N/A 0.109 0.009 0.003 0.936 1.468 0.456 1.061


















Problem 335 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 162 162 162 145 194 433 168 203
normalized size 1 1. 1. 0.9 1.2 2.67 1.04 1.25
time (sec) N/A 0.133 0.009 0.006 0.942 1.49 0.473 1.046


















Problem 336 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 166 166 166 147 197 413 173 205
normalized size 1 1. 1. 0.89 1.19 2.49 1.04 1.23
time (sec) N/A 0.125 0.009 0.006 0.949 1.527 0.558 1.055


















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 205 205 191 231 0 10954 178 302
normalized size 1 1. 0.93 1.13 0. 53.43 0.87 1.47
time (sec) N/A 0.261 0.105 0.003 0. 9.928 1.597 1.081


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 184 221 0 9513 150 285
normalized size 1 1. 0.95 1.15 0. 49.29 0.78 1.48
time (sec) N/A 0.248 0.089 0.003 0. 9.578 1.501 1.078


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 200 209 0 9754 160 257
normalized size 1 1. 1.09 1.14 0. 53.3 0.87 1.4
time (sec) N/A 0.226 0.056 0.003 0. 9.561 1.653 1.075


















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 176 200 0 10437 160 246
normalized size 1 1. 0.99 1.13 0. 58.97 0.9 1.39
time (sec) N/A 0.132 0.092 0.003 0. 9.515 1.272 1.073


















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 176 207 0 10657 0 267
normalized size 1 1. 0.96 1.12 0. 57.92 0. 1.45
time (sec) N/A 0.206 0.089 0.005 0. 10.685 0. 1.09


















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 184 216 0 10066 0 279
normalized size 1 1. 0.96 1.12 0. 52.43 0. 1.45
time (sec) N/A 0.214 0.239 0.007 0. 9.231 0. 1.083


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 203 192 225 0 9917 0 285
normalized size 1 1. 0.95 1.11 0. 48.85 0. 1.4
time (sec) N/A 0.194 0.178 0.005 0. 8.22 0. 1.078


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 190 190 174 219 0 4988 109 258
normalized size 1 1. 0.92 1.15 0. 26.25 0.57 1.36
time (sec) N/A 0.166 0.129 0.009 0. 6.236 2.422 1.074


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 200 200 186 228 0 5293 124 273
normalized size 1 1. 0.93 1.14 0. 26.46 0.62 1.36
time (sec) N/A 0.153 0.174 0.007 0. 6.774 1.667 1.103


















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 189 253 0 5011 116 266
normalized size 1 1. 0.95 1.27 0. 25.18 0.58 1.34
time (sec) N/A 0.132 0.179 0.002 0. 6.246 1.284 1.079


















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 222 222 199 274 0 12189 0 311
normalized size 1 1. 0.9 1.23 0. 54.91 0. 1.4
time (sec) N/A 0.313 0.157 0.01 0. 7.164 0. 1.095


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 231 231 213 275 0 11634 0 328
normalized size 1 1. 0.92 1.19 0. 50.36 0. 1.42
time (sec) N/A 0.343 0.262 0.012 0. 7.342 0. 1.1


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 221 276 0 12122 0 344
normalized size 1 1. 0.91 1.14 0. 50.09 0. 1.42
time (sec) N/A 0.345 0.169 0.013 0. 9.802 0. 1.094


















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 262 262 225 289 0 12670 0 373
normalized size 1 1. 0.86 1.1 0. 48.36 0. 1.42
time (sec) N/A 0.404 0.175 0.013 0. 10.179 0. 1.078


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 198 255 0 5122 148 288
normalized size 1 1. 0.92 1.19 0. 23.82 0.69 1.34
time (sec) N/A 0.197 0.179 0.01 0. 9.744 5.124 1.113


















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 214 256 0 5632 170 306
normalized size 1 1. 0.9 1.07 0. 23.56 0.71 1.28
time (sec) N/A 0.204 0.282 0.01 0. 9.66 3.385 1.103


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 213 308 0 5612 163 301
normalized size 1 1. 0.95 1.37 0. 24.94 0.72 1.34
time (sec) N/A 0.188 0.286 0.003 0. 8.387 2.117 1.127


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 257 257 229 331 0 13407 0 359
normalized size 1 1. 0.89 1.29 0. 52.17 0. 1.4
time (sec) N/A 0.414 0.178 0.013 0. 10.692 0. 1.116


















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 267 267 248 334 0 13300 0 377
normalized size 1 1. 0.93 1.25 0. 49.81 0. 1.41
time (sec) N/A 0.462 0.221 0.017 0. 10.085 0. 1.117


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 276 276 253 337 0 13346 0 390
normalized size 1 1. 0.92 1.22 0. 48.36 0. 1.41
time (sec) N/A 0.5 0.21 0.016 0. 9.171 0. 1.093


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 298 298 255 351 0 14256 0 421
normalized size 1 1. 0.86 1.18 0. 47.84 0. 1.41
time (sec) N/A 0.589 0.37 0.017 0. 12.219 0. 1.085


















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 248 248 230 275 0 5952 201 333
normalized size 1 1. 0.93 1.11 0. 24. 0.81 1.34
time (sec) N/A 0.242 0.233 0.01 0. 8.785 13.595 1.075


















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 270 270 241 278 0 6597 214 346
normalized size 1 1. 0.89 1.03 0. 24.43 0.79 1.28
time (sec) N/A 0.254 0.346 0.012 0. 8.837 7.049 1.088


















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 239 360 0 6020 202 333
normalized size 1 1. 0.96 1.44 0. 24.08 0.81 1.33
time (sec) N/A 0.222 0.232 0.004 0. 6.224 4.049 1.084


















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 291 291 259 394 0 15555 0 409
normalized size 1 1. 0.89 1.35 0. 53.45 0. 1.41
time (sec) N/A 0.517 0.228 0.016 0. 7.407 0. 1.094


















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 301 301 279 397 0 15244 0 427
normalized size 1 1. 0.93 1.32 0. 50.64 0. 1.42
time (sec) N/A 0.601 0.292 0.018 0. 7.531 0. 1.073


















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 310 310 284 400 0 15485 0 441
normalized size 1 1. 0.92 1.29 0. 49.95 0. 1.42
time (sec) N/A 0.656 0.286 0.019 0. 7.404 0. 1.071


















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 340 340 284 415 0 15115 0 459
normalized size 1 1. 0.84 1.22 0. 44.46 0. 1.35
time (sec) N/A 0.773 0.478 0.019 0. 12.297 0. 1.069


















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 57 29 35 80 54 36
normalized size 1 1. 1.97 1. 1.21 2.76 1.86 1.24
time (sec) N/A 0.058 0.014 0.007 1.419 0.992 0.287 1.062


















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 57 29 35 80 54 36
normalized size 1 1. 1.97 1. 1.21 2.76 1.86 1.24
time (sec) N/A 0.035 0.005 0.006 1.423 1.005 0.286 1.077


















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 58 29 38 81 54 39
normalized size 1 1. 1.87 0.94 1.23 2.61 1.74 1.26
time (sec) N/A 0.056 0.013 0.006 1.432 1.024 0.287 1.057


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 58 29 38 81 54 39
normalized size 1 1. 1.87 0.94 1.23 2.61 1.74 1.26
time (sec) N/A 0.037 0.006 0.005 1.417 0.941 0.289 1.057


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-2) A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 146 87 0 139 100 235
normalized size 1 1. 2.92 1.74 0. 2.78 2. 4.7
time (sec) N/A 0.087 0.041 0.004 0. 1.082 0.414 1.111


















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 149 135 0 142 110 223
normalized size 1 1. 2.81 2.55 0. 2.68 2.08 4.21
time (sec) N/A 0.093 0.069 0.006 0. 1.101 0.436 1.094


















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F(-2) A C B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 148 132 0 142 109 131
normalized size 1 1. 2.74 2.44 0. 2.63 2.02 2.43
time (sec) N/A 0.077 0.042 0.003 0. 1.122 0.421 1.068


















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F(-2) A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 147 90 0 139 102 122
normalized size 1 1. 2.77 1.7 0. 2.62 1.92 2.3
time (sec) N/A 0.076 0.053 0.005 0. 1.032 0.431 1.092


















Problem 373 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 97 97 97 80 107 239 90 117
normalized size 1 1. 1. 0.82 1.1 2.46 0.93 1.21
time (sec) N/A 0.121 0.028 0.001 0.954 0.844 0.071 1.095


















Problem 374 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 97 97 97 80 107 234 90 117
normalized size 1 1. 1. 0.82 1.1 2.41 0.93 1.21
time (sec) N/A 0.101 0.028 0.001 0.936 0.875 0.072 1.066


















Problem 375 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 97 97 97 80 107 231 90 117
normalized size 1 1. 1. 0.82 1.1 2.38 0.93 1.21
time (sec) N/A 0.091 0.024 0.001 0.941 0.839 0.071 1.321


















Problem 376 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 97 97 97 80 107 228 90 117
normalized size 1 1. 1. 0.82 1.1 2.35 0.93 1.21
time (sec) N/A 0.08 0.017 0.002 0.951 0.893 0.071 1.054


















Problem 377 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 92 92 92 77 103 217 87 113
normalized size 1 1. 1. 0.84 1.12 2.36 0.95 1.23
time (sec) N/A 0.073 0.013 0. 0.933 0.847 0.07 1.067


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 88 81 100 192 85 112
normalized size 1 1. 1. 0.92 1.14 2.18 0.97 1.27
time (sec) N/A 0.058 0.029 0.003 0.944 0.993 0.34 1.057


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 86 81 100 212 82 112
normalized size 1 1. 1. 0.94 1.16 2.47 0.95 1.3
time (sec) N/A 0.066 0.041 0.004 0.948 1.02 0.348 1.071


















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 78 78 100 205 82 108
normalized size 1 1. 0.91 0.91 1.16 2.38 0.95 1.26
time (sec) N/A 0.072 0.06 0.005 0.94 1.113 0.456 1.066


















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 76 76 101 205 82 107
normalized size 1 1. 0.88 0.88 1.17 2.38 0.95 1.24
time (sec) N/A 0.071 0.061 0.006 0.943 1.246 0.732 1.052


















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 77 76 101 197 82 104
normalized size 1 1. 0.9 0.88 1.17 2.29 0.95 1.21
time (sec) N/A 0.073 0.061 0.005 1.205 1.235 2.885 1.076


















Problem 383 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 163 163 163 152 204 414 167 216
normalized size 1 1. 1. 0.93 1.25 2.54 1.02 1.33
time (sec) N/A 0.21 0.04 0.001 0.956 1.117 0.095 1.074


















Problem 384 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 163 163 163 152 204 409 167 216
normalized size 1 1. 1. 0.93 1.25 2.51 1.02 1.33
time (sec) N/A 0.159 0.028 0.001 0.936 1.084 0.14 1.066


















Problem 385 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 158 158 150 152 204 405 167 216
normalized size 1 1. 0.95 0.96 1.29 2.56 1.06 1.37
time (sec) N/A 0.126 0.076 0.001 0.959 0.862 0.1 1.073


















Problem 386 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 158 158 163 152 204 400 167 216
normalized size 1 1. 1.03 0.96 1.29 2.53 1.06 1.37
time (sec) N/A 0.129 0.024 0.001 0.947 0.862 0.102 1.052


















Problem 387 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 153 153 125 149 200 387 163 212
normalized size 1 1. 0.82 0.97 1.31 2.53 1.07 1.39
time (sec) N/A 0.127 0.074 0.002 0.947 0.9 0.087 1.057


















Problem 388 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 149 149 154 153 197 351 162 211
normalized size 1 1. 1.03 1.03 1.32 2.36 1.09 1.42
time (sec) N/A 0.106 0.044 0.003 0.934 0.938 0.473 1.068


















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 152 152 197 379 156 209
normalized size 1 1. 1.03 1.03 1.34 2.58 1.06 1.42
time (sec) N/A 0.128 0.061 0.006 0.958 0.992 0.5 1.055


















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 127 150 197 383 156 207
normalized size 1 1. 0.86 1.02 1.34 2.61 1.06 1.41
time (sec) N/A 0.128 0.071 0.006 0.939 1. 0.551 1.074


















Problem 391 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 152 152 123 149 198 375 156 207
normalized size 1 1. 0.81 0.98 1.3 2.47 1.03 1.36
time (sec) N/A 0.118 0.081 0.005 0.926 0.991 0.873 1.07


















Problem 392 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 152 152 125 149 198 371 155 205
normalized size 1 1. 0.82 0.98 1.3 2.44 1.02 1.35
time (sec) N/A 0.117 0.073 0.006 0.948 0.991 2.775 1.064


















Problem 393 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 223 223 223 224 293 591 246 315
normalized size 1 1. 1. 1. 1.31 2.65 1.1 1.41
time (sec) N/A 0.293 0.051 0.001 0.957 0.873 0.1 1.068


















Problem 394 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 223 223 223 224 293 586 246 315
normalized size 1 1. 1. 1. 1.31 2.63 1.1 1.41
time (sec) N/A 0.228 0.047 0.002 0.932 0.87 0.101 1.077


















Problem 395 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 212 212 223 224 293 583 246 315
normalized size 1 1. 1.05 1.06 1.38 2.75 1.16 1.49
time (sec) N/A 0.179 0.048 0.001 0.943 0.828 0.099 1.079


















Problem 396 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 212 212 223 224 293 578 246 315
normalized size 1 1. 1.05 1.06 1.38 2.73 1.16 1.49
time (sec) N/A 0.177 0.033 0. 0.955 0.877 0.1 1.078


















Problem 397 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 207 207 170 221 289 564 243 311
normalized size 1 1. 0.82 1.07 1.4 2.72 1.17 1.5
time (sec) N/A 0.177 0.101 0.001 0.948 0.833 0.095 1.065


















Problem 398 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 200 200 214 224 286 497 240 308
normalized size 1 1. 1.07 1.12 1.43 2.48 1.2 1.54
time (sec) N/A 0.146 0.078 0.004 0.961 0.997 0.605 1.069


















Problem 399 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 198 198 172 224 286 570 236 308
normalized size 1 1. 0.87 1.13 1.44 2.88 1.19 1.56
time (sec) N/A 0.182 0.137 0.007 0.946 1.021 0.633 1.061


















Problem 400 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 198 198 174 222 286 551 236 305
normalized size 1 1. 0.88 1.12 1.44 2.78 1.19 1.54
time (sec) N/A 0.197 0.117 0.008 0.951 1.011 0.716 1.063


















Problem 401 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 209 209 172 220 286 551 235 304
normalized size 1 1. 0.82 1.05 1.37 2.64 1.12 1.45
time (sec) N/A 0.18 0.126 0.006 0.947 1.006 1.061 1.062


















Problem 402 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 209 209 170 220 286 528 233 302
normalized size 1 1. 0.81 1.05 1.37 2.53 1.11 1.44
time (sec) N/A 0.177 0.121 0.007 0.948 0.977 2.979 1.074


















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 331 331 334 533 0 0 874 513
normalized size 1 1. 1.01 1.61 0. 0. 2.64 1.55
time (sec) N/A 1.07 0.438 0.006 0. 0. 29.166 1.078


















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 313 313 299 505 0 0 842 477
normalized size 1 1. 0.96 1.61 0. 0. 2.69 1.52
time (sec) N/A 0.988 0.238 0.005 0. 0. 29.526 1.095


















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 294 294 290 483 0 0 789 450
normalized size 1 1. 0.99 1.64 0. 0. 2.68 1.53
time (sec) N/A 0.976 0.262 0.003 0. 0. 63.182 1.083


















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 272 455 0 0 811 428
normalized size 1 1. 0.99 1.65 0. 0. 2.95 1.56
time (sec) N/A 0.921 0.373 0.003 0. 0. 33.016 1.083


















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 257 254 429 0 0 804 397
normalized size 1 0.99 0.98 1.66 0. 0. 3.1 1.53
time (sec) N/A 0.373 0.294 0.003 0. 0. 28.682 1.08


















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 258 256 258 426 0 0 0 409
normalized size 1 0.99 1. 1.65 0. 0. 0. 1.59
time (sec) N/A 0.471 0.212 0.006 0. 0. 0. 1.063


















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 253 253 257 423 0 0 0 404
normalized size 1 1. 1.02 1.67 0. 0. 0. 1.6
time (sec) N/A 0.454 0.28 0.007 0. 0. 0. 1.092


















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 260 258 257 423 0 0 0 393
normalized size 1 0.99 0.99 1.63 0. 0. 0. 1.51
time (sec) N/A 0.38 0.321 0.007 0. 0. 0. 1.082


















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 276 274 264 442 0 0 0 423
normalized size 1 0.99 0.96 1.6 0. 0. 0. 1.53
time (sec) N/A 0.436 0.44 0.006 0. 0. 0. 1.096


















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 337 337 334 562 0 0 0 512
normalized size 1 1. 0.99 1.67 0. 0. 0. 1.52
time (sec) N/A 0.717 0.398 0.011 0. 0. 0. 1.091


















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 311 311 294 533 0 0 0 475
normalized size 1 1. 0.95 1.71 0. 0. 0. 1.53
time (sec) N/A 0.64 0.212 0.011 0. 0. 0. 1.086


















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 290 288 280 506 0 27702 0 444
normalized size 1 0.99 0.97 1.74 0. 95.52 0. 1.53
time (sec) N/A 0.498 0.198 0.01 0. 11.473 0. 1.092


















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 289 289 285 502 0 27753 0 451
normalized size 1 1. 0.99 1.74 0. 96.03 0. 1.56
time (sec) N/A 0.505 0.196 0.01 0. 13.028 0. 1.088


















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 276 276 268 462 0 27752 0 429
normalized size 1 1. 0.97 1.67 0. 100.55 0. 1.55
time (sec) N/A 0.37 0.176 0.008 0. 12.37 0. 1.084


















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 289 287 269 507 0 28260 0 452
normalized size 1 0.99 0.93 1.75 0. 97.79 0. 1.56
time (sec) N/A 0.559 0.198 0.012 0. 156.896 0. 1.086


















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 301 301 285 517 0 0 0 473
normalized size 1 1. 0.95 1.72 0. 0. 0. 1.57
time (sec) N/A 0.593 0.299 0.014 0. 0. 0. 1.102


















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 306 304 292 527 0 28467 0 483
normalized size 1 0.99 0.95 1.72 0. 93.03 0. 1.58
time (sec) N/A 0.577 0.488 0.013 0. 121.35 0. 1.078


















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 338 336 303 561 0 0 0 520
normalized size 1 0.99 0.9 1.66 0. 0. 0. 1.54
time (sec) N/A 0.727 0.454 0.014 0. 0. 0. 1.096


















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 345 345 342 619 0 30286 0 541
normalized size 1 1. 0.99 1.79 0. 87.79 0. 1.57
time (sec) N/A 0.891 0.305 0.011 0. 34.187 0. 1.084


















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 325 325 315 515 0 29083 0 512
normalized size 1 1. 0.97 1.58 0. 89.49 0. 1.58
time (sec) N/A 0.642 0.253 0.012 0. 28.726 0. 1.09


















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 297 297 287 490 0 15354 0 454
normalized size 1 1. 0.97 1.65 0. 51.7 0. 1.53
time (sec) N/A 0.43 0.234 0.011 0. 19.229 0. 1.122


















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 323 323 297 498 0 15553 0 481
normalized size 1 1. 0.92 1.54 0. 48.15 0. 1.49
time (sec) N/A 0.482 0.3 0.011 0. 22.23 0. 1.091


















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 313 313 295 506 0 15406 0 467
normalized size 1 1. 0.94 1.62 0. 49.22 0. 1.49
time (sec) N/A 0.429 0.238 0.008 0. 20.815 0. 1.09


















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 347 345 311 618 0 0 0 529
normalized size 1 0.99 0.9 1.78 0. 0. 0. 1.52
time (sec) N/A 0.723 0.274 0.017 0. 0. 0. 1.098


















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 362 362 336 622 0 0 0 556
normalized size 1 1. 0.93 1.72 0. 0. 0. 1.54
time (sec) N/A 0.83 0.57 0.016 0. 0. 0. 1.092


















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) C F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 360 357 337 626 0 31293 0 568
normalized size 1 0.99 0.94 1.74 0. 86.92 0. 1.58
time (sec) N/A 0.814 0.606 0.017 0. 139.296 0. 1.115


















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 395 392 352 680 0 0 0 612
normalized size 1 0.99 0.89 1.72 0. 0. 0. 1.55
time (sec) N/A 1.006 0.591 0.017 0. 0. 0. 1.096


















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 583 583 132 793 0 0 129 0
normalized size 1 1. 0.23 1.36 0. 0. 0.22 0.
time (sec) N/A 0.733 0.129 0.016 0. 0. 3.132 0.


















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 560 560 121 773 0 0 107 0
normalized size 1 1. 0.22 1.38 0. 0. 0.19 0.
time (sec) N/A 0.484 0.079 0.007 0. 0. 2.87 0.


















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 537 537 114 753 0 0 107 0
normalized size 1 1. 0.21 1.4 0. 0. 0.2 0.
time (sec) N/A 0.323 0.062 0.006 0. 0. 2.689 0.


















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 509 509 107 735 0 0 105 0
normalized size 1 1. 0.21 1.44 0. 0. 0.21 0.
time (sec) N/A 0.173 0.046 0.004 0. 0. 1.981 0.


















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 518 518 128 740 0 0 105 0
normalized size 1 1. 0.25 1.43 0. 0. 0.2 0.
time (sec) N/A 0.205 0.141 0.007 0. 0. 3.335 0.


















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 547 547 126 759 0 0 107 0
normalized size 1 1. 0.23 1.39 0. 0. 0.2 0.
time (sec) N/A 0.343 0.124 0.007 0. 0. 2.948 0.


















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 569 569 131 778 0 0 112 0
normalized size 1 1. 0.23 1.37 0. 0. 0.2 0.
time (sec) N/A 0.464 0.194 0.009 0. 0. 2.966 0.


















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 594 594 134 836 0 0 129 0
normalized size 1 1. 0.23 1.41 0. 0. 0.22 0.
time (sec) N/A 0.641 0.111 0.02 0. 0. 27.031 0.


















Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 574 574 127 817 0 0 129 0
normalized size 1 1. 0.22 1.42 0. 0. 0.22 0.
time (sec) N/A 0.469 0.103 0.009 0. 0. 18.138 0.


















Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 542 542 118 800 0 0 129 0
normalized size 1 1. 0.22 1.48 0. 0. 0.24 0.
time (sec) N/A 0.327 0.095 0.007 0. 0. 13.504 0.


















Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 522 522 107 779 0 0 109 0
normalized size 1 1. 0.2 1.49 0. 0. 0.21 0.
time (sec) N/A 0.262 0.088 0.007 0. 0. 11.561 0.


















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 561 561 108 782 0 0 109 0
normalized size 1 1. 0.19 1.39 0. 0. 0.19 0.
time (sec) N/A 0.321 0.064 0.005 0. 0. 11.124 0.


















Problem 442 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 532 532 109 785 0 0 107 0
normalized size 1 1. 0.2 1.48 0. 0. 0.2 0.
time (sec) N/A 0.246 0.047 0.004 0. 0. 11.264 0.


















Problem 443 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 579 579 119 810 0 0 265 0
normalized size 1 1. 0.21 1.4 0. 0. 0.46 0.
time (sec) N/A 0.4 0.103 0.007 0. 0. 22.444 0.


















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 607 607 121 825 0 0 267 0
normalized size 1 1. 0.2 1.36 0. 0. 0.44 0.
time (sec) N/A 0.56 0.098 0.008 0. 0. 34.63 0.


















Problem 445 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 733 733 172 1674 0 0 238 0
normalized size 1 1. 0.23 2.28 0. 0. 0.32 0.
time (sec) N/A 1.91 0.299 0.019 0. 0. 5.106 0.


















Problem 446 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 681 681 158 1197 0 0 223 0
normalized size 1 1. 0.23 1.76 0. 0. 0.33 0.
time (sec) N/A 1.422 0.254 0.008 0. 0. 4.524 0.


















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 667 667 143 1311 0 0 223 0
normalized size 1 1. 0.21 1.97 0. 0. 0.33 0.
time (sec) N/A 1.047 0.194 0.006 0. 0. 4.307 0.


















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 639 639 135 1557 0 0 194 0
normalized size 1 1. 0.21 2.44 0. 0. 0.3 0.
time (sec) N/A 0.719 0.148 0.005 0. 0. 3.902 0.


















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 620 620 185 1118 0 0 235 0
normalized size 1 1. 0.3 1.8 0. 0. 0.38 0.
time (sec) N/A 0.547 0.317 0.008 0. 0. 9.255 0.


















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 638 638 211 1248 0 0 236 0
normalized size 1 1. 0.33 1.96 0. 0. 0.37 0.
time (sec) N/A 0.65 0.244 0.009 0. 0. 5.507 0.


















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 640 640 218 1529 0 0 255 0
normalized size 1 1. 0.34 2.39 0. 0. 0.4 0.
time (sec) N/A 0.765 0.411 0.009 0. 0. 6.011 0.


















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 637 637 254 1114 0 0 265 0
normalized size 1 1. 0.4 1.75 0. 0. 0.42 0.
time (sec) N/A 0.844 0.387 0.01 0. 0. 6.899 0.


















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 694 694 253 1286 0 0 274 0
normalized size 1 1. 0.36 1.85 0. 0. 0.39 0.
time (sec) N/A 1.084 0.387 0.01 0. 0. 7.315 0.


















Problem 454 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 652 652 180 1571 0 0 240 0
normalized size 1 1. 0.28 2.41 0. 0. 0.37 0.
time (sec) N/A 0.787 0.26 0.009 0. 0. 6.551 0.


















Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 659 659 211 1180 0 0 304 0
normalized size 1 1. 0.32 1.79 0. 0. 0.46 0.
time (sec) N/A 0.98 0.425 0.008 0. 0. 9.384 0.


















Problem 456 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 711 711 213 1376 0 0 308 0
normalized size 1 1. 0.3 1.94 0. 0. 0.43 0.
time (sec) N/A 1.123 0.452 0.01 0. 0. 10.029 0.


















Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 743 743 192 1679 0 0 304 0
normalized size 1 1. 0.26 2.26 0. 0. 0.41 0.
time (sec) N/A 1.331 0.191 0.009 0. 0. 9.386 0.


















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 791 791 179 1764 0 0 512 0
normalized size 1 1. 0.23 2.23 0. 0. 0.65 0.
time (sec) N/A 2.111 0.527 0.017 0. 0. 10.768 0.


















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 742 742 162 1269 0 0 525 0
normalized size 1 1. 0.22 1.71 0. 0. 0.71 0.
time (sec) N/A 1.552 0.35 0.008 0. 0. 9.442 0.


















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 723 723 148 1383 0 0 525 0
normalized size 1 1. 0.2 1.91 0. 0. 0.73 0.
time (sec) N/A 1.239 0.272 0.006 0. 0. 8.804 0.


















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 694 694 139 1629 0 0 444 0
normalized size 1 1. 0.2 2.35 0. 0. 0.64 0.
time (sec) N/A 0.899 0.177 0.006 0. 0. 7.325 0.


















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 676 676 215 1188 0 0 473 0
normalized size 1 1. 0.32 1.76 0. 0. 0.7 0.
time (sec) N/A 0.707 0.439 0.009 0. 0. 21.367 0.


















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 692 692 224 1317 0 0 474 0
normalized size 1 1. 0.32 1.9 0. 0. 0.68 0.
time (sec) N/A 0.791 0.34 0.009 0. 0. 10.297 0.


















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 694 694 232 1613 0 0 462 0
normalized size 1 1. 0.33 2.32 0. 0. 0.67 0.
time (sec) N/A 0.888 0.356 0.009 0. 0. 10.501 0.


















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 692 692 243 1193 0 0 484 0
normalized size 1 1. 0.35 1.72 0. 0. 0.7 0.
time (sec) N/A 0.957 0.612 0.01 0. 0. 11.966 0.


















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 741 741 246 1342 0 0 495 0
normalized size 1 1. 0.33 1.81 0. 0. 0.67 0.
time (sec) N/A 1.24 0.603 0.01 0. 0. 12.167 0.


















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 689 689 191 1606 0 0 476 0
normalized size 1 1. 0.28 2.33 0. 0. 0.69 0.
time (sec) N/A 0.921 0.244 0.009 0. 0. 11.759 0.


















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 692 692 240 1196 0 0 524 0
normalized size 1 1. 0.35 1.73 0. 0. 0.76 0.
time (sec) N/A 1.004 0.507 0.01 0. 0. 15.539 0.


















Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 746 746 240 1375 0 0 536 0
normalized size 1 1. 0.32 1.84 0. 0. 0.72 0.
time (sec) N/A 1.284 0.781 0.009 0. 0. 16.457 0.


















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 705 705 202 1663 0 0 527 0
normalized size 1 1. 0.29 2.36 0. 0. 0.75 0.
time (sec) N/A 1.008 0.461 0.01 0. 0. 15.513 0.


















Problem 471 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 714 714 226 1273 0 0 573 0
normalized size 1 1. 0.32 1.78 0. 0. 0.8 0.
time (sec) N/A 1.123 0.645 0.025 0. 0. 23.72 0.


















Problem 472 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 764 764 227 1470 0 0 576 0
normalized size 1 1. 0.3 1.92 0. 0. 0.75 0.
time (sec) N/A 1.33 0.507 0.008 0. 0. 24.308 0.


















Problem 473 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 796 796 194 1773 0 0 541 0
normalized size 1 1. 0.24 2.23 0. 0. 0.68 0.
time (sec) N/A 1.534 0.4 0.025 0. 0. 22.843 0.


















Problem 474 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 120 114 0 0 0 112 0
normalized size 1 1.18 1.12 0. 0. 0. 1.1 0.
time (sec) N/A 0.076 0.062 0.264 0. 0. 91.678 0.


















Problem 475 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 125 116 0 0 0 114 0
normalized size 1 1.17 1.08 0. 0. 0. 1.07 0.
time (sec) N/A 0.091 0.062 0.227 0. 0. 145.318 0.


















Problem 476 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 125 116 0 0 0 0 0
normalized size 1 1.17 1.08 0. 0. 0. 0. 0.
time (sec) N/A 0.106 0.076 0.234 0. 0. 0. 0.


















Problem 477 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 68 55 73 142 63 76
normalized size 1 1. 1. 0.81 1.07 2.09 0.93 1.12
time (sec) N/A 0.044 0.005 0.001 0.917 1.381 0.063 1.088


















Problem 478 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 73 58 77 155 66 80
normalized size 1 1. 1. 0.79 1.05 2.12 0.9 1.1
time (sec) N/A 0.064 0.003 0. 0.919 1.433 0.066 1.058


















Problem 479 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 109 109 124 103 138 258 121 142
normalized size 1 1. 1.14 0.94 1.27 2.37 1.11 1.3
time (sec) N/A 0.074 0.004 0. 0.915 1.489 0.075 1.085


















Problem 480 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 114 114 129 106 142 273 124 146
normalized size 1 1. 1.13 0.93 1.25 2.39 1.09 1.28
time (sec) N/A 0.084 0.004 0.001 0.917 1.438 0.079 1.083


















Problem 481 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 151 151 180 151 203 375 180 208
normalized size 1 1. 1.19 1. 1.34 2.48 1.19 1.38
time (sec) N/A 0.108 0.005 0. 0.911 1.382 0.088 1.063


















Problem 482 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 156 156 185 154 207 390 184 212
normalized size 1 1. 1.19 0.99 1.33 2.5 1.18 1.36
time (sec) N/A 0.113 0.005 0.001 0.916 1.441 0.084 1.078


















Problem 483 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 193 193 236 199 267 490 241 274
normalized size 1 1. 1.22 1.03 1.38 2.54 1.25 1.42
time (sec) N/A 0.156 0.006 0.001 0.931 1.481 0.09 1.106


















Problem 484 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 198 198 241 202 271 504 245 278
normalized size 1 1. 1.22 1.02 1.37 2.55 1.24 1.4
time (sec) N/A 0.15 0.006 0.001 0.92 1.498 0.095 1.088


















Problem 485 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 214 177 0 0 952 419
normalized size 1 1. 1.61 1.33 0. 0. 7.16 3.15
time (sec) N/A 0.124 0.066 0.004 0. 0. 13.139 1.075


















Problem 486 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 221 208 0 0 887 443
normalized size 1 1. 1.36 1.28 0. 0. 5.48 2.73
time (sec) N/A 0.203 0.084 0.004 0. 0. 12.548 1.076


















Problem 487 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 293 293 296 294 0 0 950 392
normalized size 1 1. 1.01 1. 0. 0. 3.24 1.34
time (sec) N/A 0.222 0.215 0.004 0. 0. 13.21 1.081


















Problem 488 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 321 321 311 325 0 0 886 416
normalized size 1 1. 0.97 1.01 0. 0. 2.76 1.3
time (sec) N/A 0.334 0.173 0.004 0. 0. 12.174 1.101


















Problem 489 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 318 318 315 362 0 0 517 427
normalized size 1 1. 0.99 1.14 0. 0. 1.63 1.34
time (sec) N/A 0.27 0.34 0.005 0. 0. 16.141 1.088


















Problem 490 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 310 310 294 334 0 0 508 409
normalized size 1 1. 0.95 1.08 0. 0. 1.64 1.32
time (sec) N/A 0.274 0.269 0.009 0. 0. 31.183 1.093


















Problem 491 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) F(-1) A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 351 351 347 432 0 0 578 478
normalized size 1 1. 0.99 1.23 0. 0. 1.65 1.36
time (sec) N/A 0.318 0.328 0.005 0. 0. 68.514 1.101


















Problem 492 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 340 340 329 373 0 0 0 456
normalized size 1 1. 0.97 1.1 0. 0. 0. 1.34
time (sec) N/A 0.328 0.35 0.012 0. 0. 0. 1.096


















Problem 493 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 382 382 379 400 0 0 0 528
normalized size 1 1. 0.99 1.05 0. 0. 0. 1.38
time (sec) N/A 0.406 0.409 0.014 0. 0. 0. 1.081


















Problem 494 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 380 380 366 403 0 0 0 513
normalized size 1 1. 0.96 1.06 0. 0. 0. 1.35
time (sec) N/A 0.402 0.421 0.012 0. 0. 0. 1.092


















Problem 495 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 418 418 202 390 0 0 252 0
normalized size 1 1. 0.48 0.93 0. 0. 0.6 0.
time (sec) N/A 0.381 0.636 0.032 0. 0. 7.096 0.


















Problem 496 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 394 394 215 380 0 0 212 0
normalized size 1 1. 0.55 0.96 0. 0. 0.54 0.
time (sec) N/A 0.334 0.63 0.008 0. 0. 6.297 0.


















Problem 497 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 369 369 182 361 0 0 212 0
normalized size 1 1. 0.49 0.98 0. 0. 0.57 0.
time (sec) N/A 0.298 0.721 0.01 0. 0. 6.005 0.


















Problem 498 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 354 354 211 337 0 0 158 0
normalized size 1 1. 0.6 0.95 0. 0. 0.45 0.
time (sec) N/A 0.273 0.184 0.013 0. 0. 4.281 0.


















Problem 499 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 331 331 171 313 0 0 156 0
normalized size 1 1. 0.52 0.95 0. 0. 0.47 0.
time (sec) N/A 0.194 0.128 0.007 0. 0. 4.143 0.


















Problem 500 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 345 345 208 339 0 0 204 0
normalized size 1 1. 0.6 0.98 0. 0. 0.59 0.
time (sec) N/A 0.255 0.357 0.015 0. 0. 8.392 0.


















Problem 501 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 341 341 208 339 0 0 206 0
normalized size 1 1. 0.61 0.99 0. 0. 0.6 0.
time (sec) N/A 0.263 0.391 0.012 0. 0. 5.704 0.


















Problem 502 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 342 342 204 360 0 0 230 0
normalized size 1 1. 0.6 1.05 0. 0. 0.67 0.
time (sec) N/A 0.262 0.233 0.016 0. 0. 5.271 0.


















Problem 503 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 357 357 205 362 0 0 235 0
normalized size 1 1. 0.57 1.01 0. 0. 0.66 0.
time (sec) N/A 0.295 0.301 0.013 0. 0. 5.414 0.


















Problem 504 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 329 329 175 385 0 0 211 0
normalized size 1 1. 0.53 1.17 0. 0. 0.64 0.
time (sec) N/A 0.281 0.234 0.016 0. 0. 5.735 0.


















Problem 505 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 360 360 179 404 0 0 216 0
normalized size 1 1. 0.5 1.12 0. 0. 0.6 0.
time (sec) N/A 0.324 0.234 0.015 0. 0. 6.044 0.


















Problem 506 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 352 352 145 361 0 0 189 0
normalized size 1 1. 0.41 1.03 0. 0. 0.54 0.
time (sec) N/A 0.316 0.243 0.017 0. 0. 5.702 0.


















Problem 507 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 375 375 145 385 0 0 192 0
normalized size 1 1. 0.39 1.03 0. 0. 0.51 0.
time (sec) N/A 0.362 0.24 0.018 0. 0. 6.313 0.


















Problem 508 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 400 400 146 408 0 0 246 0
normalized size 1 1. 0.36 1.02 0. 0. 0.62 0.
time (sec) N/A 0.386 0.165 0.019 0. 0. 7.904 0.


















Problem 509 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 425 425 148 429 0 0 246 0
normalized size 1 1. 0.35 1.01 0. 0. 0.58 0.
time (sec) N/A 0.433 0.167 0.018 0. 0. 8.464 0.


















Problem 510 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 476 476 225 462 0 0 462 0
normalized size 1 1. 0.47 0.97 0. 0. 0.97 0.
time (sec) N/A 0.44 0.865 0.039 0. 0. 18.042 0.


















Problem 511 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 452 452 238 434 0 0 398 0
normalized size 1 1. 0.53 0.96 0. 0. 0.88 0.
time (sec) N/A 0.408 0.747 0.007 0. 0. 15.031 0.


















Problem 512 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 427 427 205 413 0 0 398 0
normalized size 1 1. 0.48 0.97 0. 0. 0.93 0.
time (sec) N/A 0.353 0.863 0.01 0. 0. 14.209 0.


















Problem 513 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 409 409 196 392 0 0 396 0
normalized size 1 1. 0.48 0.96 0. 0. 0.97 0.
time (sec) N/A 0.324 0.701 0.015 0. 0. 10.174 0.


















Problem 514 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 382 382 175 368 0 0 394 0
normalized size 1 1. 0.46 0.96 0. 0. 1.03 0.
time (sec) N/A 0.255 0.553 0.006 0. 0. 9.642 0.


















Problem 515 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 403 403 224 411 0 0 405 0
normalized size 1 1. 0.56 1.02 0. 0. 1. 0.
time (sec) N/A 0.353 0.512 0.019 0. 0. 26.863 0.


















Problem 516 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 404 404 222 411 0 0 406 0
normalized size 1 1. 0.55 1.02 0. 0. 1. 0.
time (sec) N/A 0.348 0.523 0.013 0. 0. 11.26 0.


















Problem 517 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 406 406 194 409 0 0 377 0
normalized size 1 1. 0.48 1.01 0. 0. 0.93 0.
time (sec) N/A 0.343 0.362 0.02 0. 0. 9.062 0.


















Problem 518 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 408 408 194 408 0 0 381 0
normalized size 1 1. 0.48 1. 0. 0. 0.93 0.
time (sec) N/A 0.336 0.358 0.014 0. 0. 9.128 0.


















Problem 519 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 386 386 163 409 0 0 379 0
normalized size 1 1. 0.42 1.06 0. 0. 0.98 0.
time (sec) N/A 0.347 0.219 0.021 0. 0. 10.707 0.


















Problem 520 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 387 387 165 409 0 0 386 0
normalized size 1 1. 0.43 1.06 0. 0. 1. 0.
time (sec) N/A 0.349 0.223 0.015 0. 0. 11.021 0.


















Problem 521 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 392 392 163 408 0 0 406 0
normalized size 1 1. 0.42 1.04 0. 0. 1.04 0.
time (sec) N/A 0.342 0.202 0.02 0. 0. 9.893 0.


















Problem 522 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 412 412 164 411 0 0 415 0
normalized size 1 1. 0.4 1. 0. 0. 1.01 0.
time (sec) N/A 0.394 0.221 0.015 0. 0. 11.456 0.


















Problem 523 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 377 377 174 416 0 0 444 0
normalized size 1 1. 0.46 1.1 0. 0. 1.18 0.
time (sec) N/A 0.371 0.294 0.023 0. 0. 12.967 0.


















Problem 524 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 405 405 174 437 0 0 449 0
normalized size 1 1. 0.43 1.08 0. 0. 1.11 0.
time (sec) N/A 0.425 0.314 0.018 0. 0. 13.571 0.


















Problem 525 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 399 399 171 417 0 0 398 0
normalized size 1 1. 0.43 1.05 0. 0. 1. 0.
time (sec) N/A 0.42 0.326 0.019 0. 0. 15.602 0.


















Problem 526 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 424 424 172 441 0 0 401 0
normalized size 1 1. 0.41 1.04 0. 0. 0.95 0.
time (sec) N/A 0.462 0.381 0.02 0. 0. 15.493 0.


















Problem 527 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 449 449 149 462 0 0 403 0
normalized size 1 1. 0.33 1.03 0. 0. 0.9 0.
time (sec) N/A 0.49 0.191 0.023 0. 0. 20.177 0.


















Problem 528 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 474 474 151 483 0 0 403 0
normalized size 1 1. 0.32 1.02 0. 0. 0.85 0.
time (sec) N/A 0.549 0.184 0.02 0. 0. 21.79 0.


















Problem 529 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 361 361 212 335 0 0 177 0
normalized size 1 1. 0.59 0.93 0. 0. 0.49 0.
time (sec) N/A 0.3 0.131 0.018 0. 0. 6.138 0.


















Problem 530 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 336 336 212 325 0 0 156 0
normalized size 1 1. 0.63 0.97 0. 0. 0.46 0.
time (sec) N/A 0.265 0.145 0.007 0. 0. 5.023 0.


















Problem 531 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 308 308 193 248 0 0 156 0
normalized size 1 1. 0.63 0.81 0. 0. 0.51 0.
time (sec) N/A 0.222 0.169 0.006 0. 0. 4.724 0.


















Problem 532 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 299 299 160 229 0 0 129 0
normalized size 1 1. 0.54 0.77 0. 0. 0.43 0.
time (sec) N/A 0.198 0.095 0.005 0. 0. 3.56 0.


















Problem 533 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 276 276 150 208 0 0 128 0
normalized size 1 1. 0.54 0.75 0. 0. 0.46 0.
time (sec) N/A 0.142 0.094 0.004 0. 0. 2.627 0.


















Problem 534 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 285 285 159 222 0 0 126 0
normalized size 1 1. 0.56 0.78 0. 0. 0.44 0.
time (sec) N/A 0.18 0.227 0.013 0. 0. 4.07 0.


















Problem 535 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 309 309 157 299 0 0 128 0
normalized size 1 1. 0.51 0.97 0. 0. 0.41 0.
time (sec) N/A 0.224 0.227 0.009 0. 0. 3.31 0.


















Problem 536 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 300 300 148 293 0 0 126 0
normalized size 1 1. 0.49 0.98 0. 0. 0.42 0.
time (sec) N/A 0.216 0.14 0.015 0. 0. 3.096 0.


















Problem 537 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 323 323 149 316 0 0 131 0
normalized size 1 1. 0.46 0.98 0. 0. 0.41 0.
time (sec) N/A 0.258 0.158 0.01 0. 0. 3.441 0.


















Problem 538 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 346 346 147 335 0 0 158 0
normalized size 1 1. 0.42 0.97 0. 0. 0.46 0.
time (sec) N/A 0.281 0.147 0.017 0. 0. 4.537 0.


















Problem 539 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 377 377 134 354 0 0 163 0
normalized size 1 1. 0.36 0.94 0. 0. 0.43 0.
time (sec) N/A 0.327 0.208 0.01 0. 0. 4.883 0.


















Problem 540 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 365 365 220 378 0 0 202 0
normalized size 1 1. 0.6 1.04 0. 0. 0.55 0.
time (sec) N/A 0.523 0.173 0.027 0. 0. 34.669 0.


















Problem 541 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 343 343 176 358 0 0 172 0
normalized size 1 1. 0.51 1.04 0. 0. 0.5 0.
time (sec) N/A 0.367 0.152 0.016 0. 0. 25.754 0.


















Problem 542 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 314 314 166 340 0 0 172 0
normalized size 1 1. 0.53 1.08 0. 0. 0.55 0.
time (sec) N/A 0.268 0.146 0.008 0. 0. 19.986 0.


















Problem 543 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 297 297 181 331 0 0 156 0
normalized size 1 1. 0.61 1.11 0. 0. 0.53 0.
time (sec) N/A 0.2 0.129 0.007 0. 0. 17.232 0.


















Problem 544 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 333 333 165 331 0 0 156 0
normalized size 1 1. 0.5 0.99 0. 0. 0.47 0.
time (sec) N/A 0.251 0.196 0.009 0. 0. 15.565 0.


















Problem 545 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 303 303 116 250 0 0 133 0
normalized size 1 1. 0.38 0.83 0. 0. 0.44 0.
time (sec) N/A 0.193 0.077 0.011 0. 0. 14.639 0.


















Problem 546 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 116 250 0 0 131 0
normalized size 1 1. 0.42 0.91 0. 0. 0.48 0.
time (sec) N/A 0.117 0.054 0.006 0. 0. 13.983 0.


















Problem 547 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 323 323 125 336 0 0 289 0
normalized size 1 1. 0.39 1.04 0. 0. 0.89 0.
time (sec) N/A 0.292 0.127 0.017 0. 0. 24.447 0.


















Problem 548 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 344 344 123 355 0 0 291 0
normalized size 1 1. 0.36 1.03 0. 0. 0.85 0.
time (sec) N/A 0.383 0.114 0.01 0. 0. 34.144 0.


















Problem 549 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 367 367 140 363 0 0 316 0
normalized size 1 1. 0.38 0.99 0. 0. 0.86 0.
time (sec) N/A 0.478 0.106 0.016 0. 0. 42.437 0.


















Problem 550 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 387 387 136 383 0 0 321 0
normalized size 1 1. 0.35 0.99 0. 0. 0.83 0.
time (sec) N/A 0.606 0.119 0.011 0. 0. 41.397 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 269 269 174 0 0 0 0 0
normalized size 1 1. 0.65 0. 0. 0. 0. 0.
time (sec) N/A 0.256 0.214 0.314 0. 0. 0. 0.


















Problem 552 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 170 147 0 0 0 141 0
normalized size 1 1.19 1.03 0. 0. 0. 0.99 0.
time (sec) N/A 0.131 0.111 0.25 0. 0. 70.572 0.


















Problem 553 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 145 0 0 0 0 0
normalized size 1 1. 0.83 0. 0. 0. 0. 0.
time (sec) N/A 0.182 0.115 0.222 0. 0. 0. 0.


















Problem 554 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 8 8 8 7 8 18 5 9
normalized size 1 1. 1. 0.88 1. 2.25 0.62 1.12
time (sec) N/A 0.01 0.001 0. 0.916 1.346 0.06 1.054


















Problem 555 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 10 10 10 9 11 24 7 12
normalized size 1 1. 1. 0.9 1.1 2.4 0.7 1.2
time (sec) N/A 0.015 0.001 0.001 0.928 1.346 0.07 1.059


















Problem 556 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 10 10 10 9 11 26 8 12
normalized size 1 1. 1. 0.9 1.1 2.6 0.8 1.2
time (sec) N/A 0.013 0.001 0.001 0.921 1.359 0.068 1.052


















Problem 557 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 10 10 21 18 23 53 15 20
normalized size 1 1. 2.1 1.8 2.3 5.3 1.5 2.
time (sec) N/A 0.01 0.003 0.006 0.895 1.353 0.093 1.048


















Problem 558 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 24 24 24 17 22 58 24 22
normalized size 1 1. 1. 0.71 0.92 2.42 1. 0.92
time (sec) N/A 0.024 0.006 0.003 1.372 1.355 0.114 1.052


















Problem 559 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 39 51 128 46 53
normalized size 1 1. 1. 0.78 1.02 2.56 0.92 1.06
time (sec) N/A 0.049 0.017 0.007 1.388 1.433 0.162 1.083


















Problem 560 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 46 39 51 128 46 53
normalized size 1 1. 0.92 0.78 1.02 2.56 0.92 1.06
time (sec) N/A 0.048 0.013 0.007 1.387 1.405 0.165 1.049


















Problem 561 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 60 60 56 47 62 157 56 65
normalized size 1 1. 0.93 0.78 1.03 2.62 0.93 1.08
time (sec) N/A 0.051 0.013 0.007 1.374 1.435 0.181 1.046


















Problem 562 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 60 60 52 47 62 157 56 65
normalized size 1 1. 0.87 0.78 1.03 2.62 0.93 1.08
time (sec) N/A 0.049 0.011 0.006 1.384 1.434 0.18 1.072


















Problem 563 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 39 51 126 48 47
normalized size 1 1. 1. 0.78 1.02 2.52 0.96 0.94
time (sec) N/A 0.026 0.006 0.005 1.373 1.375 0.138 1.044


















Problem 564 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 50 39 51 124 48 53
normalized size 1 1. 1. 0.78 1.02 2.48 0.96 1.06
time (sec) N/A 0.043 0.01 0.004 1.367 1.415 0.146 1.062


















Problem 565 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 100 85 113 342 105 116
normalized size 1 1. 0.91 0.77 1.03 3.11 0.95 1.05
time (sec) N/A 0.118 0.087 0.01 1.405 1.497 0.359 1.072


















Problem 566 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 97 85 113 342 105 116
normalized size 1 1. 0.88 0.77 1.03 3.11 0.95 1.05
time (sec) N/A 0.117 0.077 0.009 1.381 1.438 0.351 1.074


















Problem 567 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 81 81 122 68 82 259 70 85
normalized size 1 1. 1.51 0.84 1.01 3.2 0.86 1.05
time (sec) N/A 0.069 0.431 0.01 1.375 1.527 0.201 1.061


















Problem 568 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 92 92 84 73 100 338 82 103
normalized size 1 1. 0.91 0.79 1.09 3.67 0.89 1.12
time (sec) N/A 0.116 0.03 0.01 1.386 1.654 0.285 1.056


















Problem 569 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 119 115 142 736 124 150
normalized size 1 1. 0.8 0.78 0.96 4.97 0.84 1.01
time (sec) N/A 0.172 0.057 0.016 1.374 1.683 0.503 1.07


















Problem 570 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 121 115 142 736 124 150
normalized size 1 1. 0.83 0.79 0.97 5.04 0.85 1.03
time (sec) N/A 0.173 0.082 0.013 1.381 1.506 0.501 1.062


















Problem 571 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 142 142 111 111 128 539 116 143
normalized size 1 1. 0.78 0.78 0.9 3.8 0.82 1.01
time (sec) N/A 0.148 0.063 0.013 1.376 1.462 0.475 1.065


















Problem 572 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 142 142 111 111 128 539 116 143
normalized size 1 1. 0.78 0.78 0.9 3.8 0.82 1.01
time (sec) N/A 0.145 0.062 0.013 1.377 1.461 0.469 1.06


















Problem 573 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 113 113 103 102 117 377 110 120
normalized size 1 1. 0.91 0.9 1.04 3.34 0.97 1.06
time (sec) N/A 0.082 0.05 0.013 1.381 1.427 0.384 1.059


















Problem 574 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 131 131 111 102 128 531 119 134
normalized size 1 1. 0.85 0.78 0.98 4.05 0.91 1.02
time (sec) N/A 0.148 0.064 0.013 1.395 1.443 0.468 1.05


















Problem 575 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 99 99 91 76 101 257 102 93
normalized size 1 1. 0.92 0.77 1.02 2.6 1.03 0.94
time (sec) N/A 0.063 0.014 0.007 1.375 1.444 0.328 1.063


















Problem 576 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 162 162 130 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.167 0.341 0.384 0. 0. 0. 0.


















Problem 577 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 84 84 108 130 0 660 1251 529
normalized size 1 1. 1.29 1.55 0. 7.86 14.89 6.3
time (sec) N/A 0.056 0.163 0.015 0. 1.545 6.769 1.069


















Problem 578 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 61 61 120 87 0 347 552 265
normalized size 1 1. 1.97 1.43 0. 5.69 9.05 4.34
time (sec) N/A 0.04 0.112 0.012 0. 1.537 3.252 1.074


















Problem 579 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 41 41 42 45 0 128 163 88
normalized size 1 1. 1.02 1.1 0. 3.12 3.98 2.15
time (sec) N/A 0.023 0.096 0.011 0. 1.485 1.509 1.056


















Problem 580 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 12 12 12 13 0 36 15 16
normalized size 1 1. 1. 1.08 0. 3. 1.25 1.33
time (sec) N/A 0.003 0.001 0.041 0. 1.501 0.058 1.041


















Problem 581 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 0 0 0 65 0
normalized size 1 1. 1. 0. 0. 0. 1.55 0.
time (sec) N/A 0.03 0.056 0.339 0. 0. 9.521 0.


















Problem 582 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 0 0 0 313 0
normalized size 1 1. 1. 0. 0. 0. 7.11 0.
time (sec) N/A 0.029 0.075 0.36 0. 0. 22.753 0.


















Problem 583 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 46 46 63 0 0 0 0 0
normalized size 1 1. 1.37 0. 0. 0. 0. 0.
time (sec) N/A 0.03 0.074 0.355 0. 0. 0. 0.


















Problem 584 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 305 305 206 0 0 0 0 0
normalized size 1 1. 0.68 0. 0. 0. 0. 0.
time (sec) N/A 0.232 0.374 0.464 0. 0. 0. 0.


















Problem 585 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 45 0 0 153 0 0
normalized size 1 1. 1. 0. 0. 3.4 0. 0.
time (sec) N/A 0.395 0.215 0.487 0. 1.895 0. 0.


















Problem 586 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 273 273 178 0 0 0 0 0
normalized size 1 1. 0.65 0. 0. 0. 0. 0.
time (sec) N/A 0.185 0.243 0.437 0. 0. 0. 0.


















Problem 587 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 297 297 204 0 0 0 0 0
normalized size 1 1. 0.69 0. 0. 0. 0. 0.
time (sec) N/A 0.208 0.273 0.385 0. 0. 0. 0.


















Problem 588 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 162 162 147 0 0 0 0 0
normalized size 1 1. 0.91 0. 0. 0. 0. 0.
time (sec) N/A 0.124 0.338 0.432 0. 0. 0. 0.


















Problem 589 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 21 27 47 0 0
normalized size 1 1. 1. 0.88 1.12 1.96 0. 0.
time (sec) N/A 0.053 0.148 0.009 1.105 1.618 0. 0.


















Problem 590 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 103 103 93 0 0 0 0 0
normalized size 1 1. 0.9 0. 0. 0. 0. 0.
time (sec) N/A 0.103 0.168 0.387 0. 0. 0. 0.


















Problem 591 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 28 0 0 128 0 308
normalized size 1 1. 1. 0. 0. 4.57 0. 11.
time (sec) N/A 0.101 0.307 0.817 0. 2.001 0. 1.119


















Problem 592 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 46 138 104 312 0 320
normalized size 1 1. 1.02 3.07 2.31 6.93 0. 7.11
time (sec) N/A 0.157 0.355 0.51 1.365 2.007 0. 1.146


















Problem 593 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 31 31 31 52 80 115 0 155
normalized size 1 1. 1. 1.68 2.58 3.71 0. 5.
time (sec) N/A 0.205 0.524 0.153 1.257 1.798 0. 1.171


















Problem 594 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 41 136 124 223 0 209
normalized size 1 1. 0.91 3.02 2.76 4.96 0. 4.64
time (sec) N/A 0.553 0.767 0.429 1.367 1.734 0. 1.189









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 [124] had the largest ratio of [ 0.6923 ]

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 2 1 1. 20 0.05







2 A 2 1 1. 22 0.045







3 A 2 1 1. 22 0.045







4 A 2 1 1. 25 0.04







5 A 2 1 1. 27 0.037







6 A 2 1 1. 27 0.037







7 A 6 6 1. 15 0.4







8 A 7 7 1. 15 0.467







9 A 8 7 1. 15 0.467







10 A 9 7 1. 15 0.467







11 A 6 6 1. 15 0.4







12 A 6 6 1. 16 0.375







13 A 3 3 1. 11 0.273







14 A 3 3 1. 15 0.2







15 A 3 3 1. 13 0.231







16 A 3 3 1. 13 0.231







17 A 6 6 1. 15 0.4







18 A 3 3 1. 19 0.158







19 A 3 3 1. 21 0.143







20 A 3 3 1. 31 0.097







21 A 3 3 1. 36 0.083







22 A 12 10 1. 35 0.286







23 A 11 9 1. 33 0.273







24 A 10 8 1. 36 0.222







25 A 10 10 1. 19 0.526







26 A 9 9 1. 18 0.5







27 A 4 4 1. 27 0.148







28 A 4 4 1. 28 0.143







29 A 4 4 1. 24 0.167







30 A 4 4 1. 24 0.167







31 A 4 4 1. 26 0.154







32 A 4 4 1. 26 0.154







33 A 4 4 1. 28 0.143







34 A 4 4 1. 30 0.133







35 A 4 4 1. 29 0.138







36 A 4 4 1. 29 0.138







37 A 4 4 1. 29 0.138







38 A 4 4 1. 32 0.125







39 A 6 6 1. 13 0.462







40 A 4 4 1. 49 0.082







41 A 4 4 1. 57 0.07







42 A 2 2 1. 31 0.065







43 A 2 2 1. 42 0.048







44 A 4 4 1. 42 0.095







45 A 4 4 1. 45 0.089







46 A 4 4 1. 45 0.089







47 A 4 4 1. 44 0.091







48 A 3 3 1. 20 0.15







49 A 6 6 1. 20 0.3







50 A 2 2 1. 16 0.125







51 A 5 5 1. 20 0.25







52 A 3 3 1. 18 0.167







53 A 2 1 1. 30 0.033







54 A 2 1 1. 30 0.033







55 A 2 1 1. 28 0.036







56 A 2 1 1. 30 0.033







57 A 7 7 1. 30 0.233







58 A 8 8 1. 30 0.267







59 A 7 5 1. 32 0.156







60 A 6 5 1. 32 0.156







61 A 5 5 1. 32 0.156







62 A 4 4 1. 32 0.125







63 A 5 5 1. 32 0.156







64 A 6 5 1. 32 0.156







65 A 7 5 1. 32 0.156







66 A 7 6 1. 32 0.188







67 A 6 6 1. 32 0.188







68 A 5 5 1. 32 0.156







69 A 6 6 1. 32 0.188







70 A 8 8 1. 17 0.471







71 A 10 9 1. 17 0.529







72 A 10 9 0.99 17 0.529







73 A 10 9 0.99 22 0.409







74 A 10 9 1. 22 0.409







75 A 10 9 1. 22 0.409







76 A 9 8 1. 17 0.471







77 A 9 8 1. 19 0.421







78 A 8 7 1. 18 0.389







79 A 3 3 1. 18 0.167







80 A 3 3 1. 22 0.136







81 A 1 1 1. 20 0.05







82 A 1 1 1. 20 0.05







83 A 3 3 1. 33 0.091







84 A 3 3 1. 35 0.086







85 A 1 1 1. 36 0.028







86 A 1 1 1. 36 0.028







87 A 3 3 1. 30 0.1







88 A 3 3 1. 32 0.094







89 A 1 1 1. 33 0.03







90 A 1 1 1. 33 0.03







91 A 1 1 1. 20 0.05







92 A 1 1 1. 24 0.042







93 A 3 3 1. 22 0.136







94 A 3 3 1. 22 0.136







95 A 1 1 1. 20 0.05







96 A 1 1 1. 20 0.05







97 A 3 3 1. 18 0.167







98 A 3 3 1. 22 0.136







99 A 1 1 1. 35 0.029







100 A 1 1 1. 37 0.027







101 A 3 3 1. 38 0.079







102 A 3 3 1. 38 0.079







103 A 1 1 1. 32 0.031







104 A 1 1 1. 34 0.029







105 A 3 3 1. 35 0.086







106 A 3 3 1. 35 0.086







107 A 3 3 1. 17 0.176







108 A 3 3 1. 18 0.167







109 A 3 3 1. 19 0.158







110 A 3 3 1. 20 0.15







111 A 3 3 1. 15 0.2







112 A 3 3 1. 17 0.176







113 A 3 3 1. 15 0.2







114 A 3 3 1. 17 0.176







115 A 7 5 1. 16 0.312







116 A 13 9 1. 15 0.6







117 A 8 6 1. 16 0.375







118 A 14 10 1. 15 0.667







119 A 9 6 1. 16 0.375







120 A 15 10 1. 15 0.667







121 A 10 6 1. 16 0.375







122 A 16 10 1. 15 0.667







123 A 7 5 1. 15 0.333







124 A 13 9 1. 13 0.692







125 A 7 5 1. 21 0.238







126 A 13 9 1. 20 0.45







127 A 8 6 1. 21 0.286







128 A 14 10 1. 20 0.5







129 A 9 6 1. 21 0.286







130 A 15 10 1. 20 0.5







131 A 10 6 1. 21 0.286







132 A 16 10 1. 20 0.5







133 A 3 2 1. 11 0.182







134 A 3 2 1. 12 0.167







135 A 2 1 1. 15 0.067







136 A 3 2 1. 14 0.143







137 A 2 1 1. 17 0.059







138 A 3 2 1. 19 0.105







139 A 2 1 1. 20 0.05







140 A 2 2 1. 14 0.143







141 A 4 3 1. 17 0.176







142 A 4 3 1. 19 0.158







143 A 3 2 1. 20 0.1







144 A 4 3 1. 21 0.143







145 A 3 2 1. 22 0.091







146 A 4 3 1. 24 0.125







147 A 3 2 1. 25 0.08







148 A 3 2 1. 25 0.08







149 A 8 6 1. 26 0.231







150 A 9 7 1. 26 0.269







151 A 10 7 1. 26 0.269







152 A 10 7 1. 11 0.636







153 A 3 3 1. 12 0.25







154 A 13 9 1. 15 0.6







155 A 10 7 1. 14 0.5







156 A 9 6 1. 17 0.353







157 A 14 10 1. 19 0.526







158 A 13 9 1. 20 0.45







159 A 2 2 1. 14 0.143







160 A 12 8 1. 17 0.471







161 A 5 5 1. 19 0.263







162 A 15 11 1. 20 0.55







163 A 13 9 1. 21 0.429







164 A 12 8 1. 22 0.364







165 A 16 12 1. 24 0.5







166 A 15 11 1. 25 0.44







167 A 2 2 1. 19 0.105







168 A 11 8 1. 17 0.471







169 A 9 7 1. 20 0.35







170 A 15 11 1. 19 0.579







171 A 11 8 1. 31 0.258







172 A 8 6 1. 31 0.194







173 A 9 7 1. 31 0.226







174 A 10 8 1. 31 0.258







175 A 17 12 1. 30 0.4







176 A 14 10 1. 30 0.333







177 A 15 11 1. 30 0.367







178 A 16 12 1. 30 0.4







179 A 2 2 1. 21 0.095







180 A 2 2 1. 21 0.095







181 A 2 1 1. 19 0.053







182 A 2 2 1. 19 0.105







183 A 2 2 1. 21 0.095







184 A 2 2 1. 21 0.095







185 A 2 2 1. 21 0.095







186 A 13 9 1. 36 0.25







187 A 13 9 1. 41 0.22







188 A 13 9 1. 46 0.196







189 A 19 13 1. 35 0.371







190 A 19 13 1. 40 0.325







191 A 19 13 1. 45 0.289







192 A 8 6 1. 36 0.167







193 A 8 6 1. 41 0.146







194 A 10 8 1. 46 0.174







195 A 14 10 1. 35 0.286







196 A 14 10 1. 40 0.25







197 A 16 12 1. 45 0.267







198 A 9 7 1. 36 0.194







199 A 9 7 1. 41 0.171







200 A 9 7 1. 46 0.152







201 A 15 11 1. 35 0.314







202 A 15 11 1. 40 0.275







203 A 15 11 1. 45 0.244







204 A 10 8 1. 36 0.222







205 A 10 8 1. 41 0.195







206 A 10 8 1. 46 0.174







207 A 16 12 1. 35 0.343







208 A 16 12 1. 40 0.3







209 A 16 12 1. 45 0.267







210 A 6 5 1. 17 0.294







211 A 7 6 1. 18 0.333







212 A 7 6 1. 19 0.316







213 A 6 5 1. 20 0.25







214 A 8 7 1. 22 0.318







215 A 1 1 1. 23 0.043







216 A 1 1 1. 26 0.038







217 A 1 1 1. 28 0.036







218 A 1 1 1. 31 0.032







219 A 1 1 1. 15 0.067







220 A 12 10 1. 42 0.238







221 A 3 2 1. 11 0.182







222 A 3 2 1. 15 0.133







223 A 3 2 1. 30 0.067







224 A 3 2 1. 30 0.067







225 A 3 2 1. 30 0.067







226 A 3 2 1. 30 0.067







227 A 3 2 1. 30 0.067







228 A 3 2 1. 30 0.067







229 A 3 2 1. 30 0.067







230 A 3 2 1. 30 0.067







231 A 3 2 1. 30 0.067







232 A 3 2 1. 30 0.067







233 A 9 8 1. 30 0.267







234 A 9 8 1. 30 0.267







235 A 9 8 1. 30 0.267







236 A 9 8 1. 30 0.267







237 A 9 8 1. 30 0.267







238 A 9 8 1. 28 0.286







239 A 8 7 1. 27 0.259







240 A 8 7 1. 30 0.233







241 A 8 7 1. 30 0.233







242 A 8 7 1. 30 0.233







243 A 8 7 1. 30 0.233







244 A 8 7 1. 30 0.233







245 A 8 7 1. 30 0.233







246 A 8 7 1. 30 0.233







247 A 8 7 1. 30 0.233







248 A 8 7 1. 30 0.233







249 A 8 7 1. 30 0.233







250 A 8 7 1. 30 0.233







251 A 3 2 1. 30 0.067







252 A 3 2 1. 30 0.067







253 A 3 2 1. 30 0.067







254 A 3 2 1. 30 0.067







255 A 3 2 1. 30 0.067







256 A 3 2 1. 30 0.067







257 A 3 2 1. 30 0.067







258 A 3 2 1. 30 0.067







259 A 3 2 1. 30 0.067







260 A 9 8 1. 30 0.267







261 A 12 10 1. 30 0.333







262 A 9 8 1. 30 0.267







263 A 11 10 1. 30 0.333







264 A 9 8 1. 30 0.267







265 A 10 9 1. 28 0.321







266 A 9 9 1. 27 0.333







267 A 9 8 1. 30 0.267







268 A 9 8 1. 30 0.267







269 A 9 8 1. 30 0.267







270 A 9 8 1. 30 0.267







271 A 9 8 1. 30 0.267







272 A 9 8 1. 30 0.267







273 A 9 8 1. 30 0.267







274 A 9 8 1. 30 0.267







275 A 9 8 1. 30 0.267







276 A 3 2 1. 30 0.067







277 A 3 2 1. 30 0.067







278 A 3 2 1. 30 0.067







279 A 3 2 1. 30 0.067







280 A 3 2 1. 30 0.067







281 A 3 2 1. 30 0.067







282 A 3 2 1. 30 0.067







283 A 3 2 1. 30 0.067







284 A 3 2 1. 30 0.067







285 A 3 2 1. 30 0.067







286 A 10 9 1. 30 0.3







287 A 14 10 1. 30 0.333







288 A 10 9 1. 30 0.3







289 A 13 10 1. 30 0.333







290 A 10 9 1. 30 0.3







291 A 12 10 1. 30 0.333







292 A 10 10 1. 30 0.333







293 A 10 10 1. 28 0.357







294 A 9 9 1. 27 0.333







295 A 9 9 1. 30 0.3







296 A 9 9 1. 30 0.3







297 A 10 9 1. 30 0.3







298 A 10 9 1. 30 0.3







299 A 10 8 1. 30 0.267







300 A 10 8 1. 30 0.267







301 A 10 8 1. 30 0.267







302 A 10 8 1. 30 0.267







303 A 10 8 1. 30 0.267







304 A 8 7 1. 16 0.438







305 A 5 4 1. 16 0.25







306 A 8 7 1. 16 0.438







307 A 6 6 1. 14 0.429







308 A 6 5 1. 16 0.312







309 A 6 5 1. 16 0.312







310 A 3 2 1. 16 0.125







311 A 6 6 1. 14 0.429







312 A 6 6 1. 16 0.375







313 A 2 1 1. 21 0.048







314 A 2 1 1. 19 0.053







315 A 2 1 1. 18 0.056







316 A 2 1 1. 21 0.048







317 A 2 1 1. 21 0.048







318 A 2 1 1. 21 0.048







319 A 3 2 1. 23 0.087







320 A 3 2 1. 21 0.095







321 A 3 2 1. 20 0.1







322 A 2 1 1. 23 0.043







323 A 2 1 1. 23 0.043







324 A 2 1 1. 23 0.043







325 A 3 2 1. 23 0.087







326 A 3 2 1. 21 0.095







327 A 3 2 1. 20 0.1







328 A 2 1 1. 23 0.043







329 A 2 1 1. 23 0.043







330 A 2 1 1. 23 0.043







331 A 3 2 1. 23 0.087







332 A 3 2 1. 21 0.095







333 A 3 2 1. 20 0.1







334 A 2 1 1. 23 0.043







335 A 2 1 1. 23 0.043







336 A 2 1 1. 23 0.043







337 A 10 9 1. 23 0.391







338 A 10 9 1. 23 0.391







339 A 10 9 1. 21 0.429







340 A 8 8 1. 20 0.4







341 A 10 9 1. 23 0.391







342 A 10 9 1. 23 0.391







343 A 10 9 1. 23 0.391







344 A 7 7 1. 23 0.304







345 A 7 7 1. 21 0.333







346 A 7 7 1. 20 0.35







347 A 11 10 1. 23 0.435







348 A 11 10 1. 23 0.435







349 A 11 10 1. 23 0.435







350 A 11 10 1. 23 0.435







351 A 8 8 1. 23 0.348







352 A 8 8 1. 21 0.381







353 A 8 8 1. 20 0.4







354 A 12 10 1. 23 0.435







355 A 12 10 1. 23 0.435







356 A 12 10 1. 23 0.435







357 A 12 10 1. 23 0.435







358 A 9 8 1. 23 0.348







359 A 9 9 1. 21 0.429







360 A 9 8 1. 20 0.4







361 A 13 10 1. 23 0.435







362 A 13 10 1. 23 0.435







363 A 13 10 1. 23 0.435







364 A 13 10 1. 23 0.435







365 A 5 5 1. 20 0.25







366 A 4 4 1. 18 0.222







367 A 5 5 1. 20 0.25







368 A 4 4 1. 18 0.222







369 A 4 4 1. 27 0.148







370 A 4 4 1. 29 0.138







371 A 4 4 1. 28 0.143







372 A 4 4 1. 28 0.143







373 A 2 1 1. 36 0.028







374 A 2 1 1. 36 0.028







375 A 2 1 1. 36 0.028







376 A 2 1 1. 34 0.029







377 A 2 1 1. 33 0.03







378 A 2 1 1. 36 0.028







379 A 2 1 1. 36 0.028







380 A 2 1 1. 36 0.028







381 A 2 1 1. 36 0.028







382 A 2 1 1. 36 0.028







383 A 2 1 1. 38 0.026







384 A 2 1 1. 38 0.026







385 A 3 2 1. 38 0.053







386 A 3 2 1. 36 0.056







387 A 3 2 1. 35 0.057







388 A 3 2 1. 38 0.053







389 A 3 2 1. 38 0.053







390 A 3 2 1. 38 0.053







391 A 2 1 1. 38 0.026







392 A 2 1 1. 38 0.026







393 A 2 1 1. 38 0.026







394 A 2 1 1. 38 0.026







395 A 3 2 1. 38 0.053







396 A 3 2 1. 36 0.056







397 A 3 2 1. 35 0.057







398 A 3 2 1. 38 0.053







399 A 3 2 1. 38 0.053







400 A 3 2 1. 38 0.053







401 A 2 1 1. 38 0.026







402 A 2 1 1. 38 0.026







403 A 13 10 1. 38 0.263







404 A 13 10 1. 38 0.263







405 A 13 10 1. 38 0.263







406 A 13 10 1. 36 0.278







407 A 10 9 0.99 35 0.257







408 A 10 9 0.99 38 0.237







409 A 10 9 1. 38 0.237







410 A 10 9 0.99 38 0.237







411 A 10 9 0.99 38 0.237







412 A 11 10 1. 38 0.263







413 A 11 10 1. 38 0.263







414 A 11 10 0.99 38 0.263







415 A 11 10 1. 36 0.278







416 A 9 9 1. 35 0.257







417 A 11 10 0.99 38 0.263







418 A 11 10 1. 38 0.263







419 A 11 10 0.99 38 0.263







420 A 11 10 0.99 38 0.263







421 A 12 11 1. 38 0.29







422 A 10 10 1. 38 0.263







423 A 8 8 1. 38 0.21







424 A 8 8 1. 36 0.222







425 A 8 8 1. 35 0.229







426 A 12 10 0.99 38 0.263







427 A 12 10 1. 38 0.263







428 A 12 10 0.99 38 0.263







429 A 12 10 0.99 38 0.263







430 A 10 7 1. 25 0.28







431 A 8 7 1. 25 0.28







432 A 6 6 1. 23 0.261







433 A 5 5 1. 22 0.227







434 A 7 7 1. 25 0.28







435 A 8 8 1. 25 0.32







436 A 9 8 1. 25 0.32







437 A 8 7 1. 25 0.28







438 A 7 7 1. 25 0.28







439 A 6 6 1. 25 0.24







440 A 4 4 1. 25 0.16







441 A 6 6 1. 23 0.261







442 A 4 4 1. 22 0.182







443 A 10 10 1. 25 0.4







444 A 11 11 1. 25 0.44







445 A 13 9 1. 35 0.257







446 A 11 9 1. 35 0.257







447 A 9 8 1. 33 0.242







448 A 8 7 1. 32 0.219







449 A 11 11 1. 35 0.314







450 A 11 11 1. 35 0.314







451 A 10 9 1. 35 0.257







452 A 11 9 1. 35 0.257







453 A 12 9 1. 35 0.257







454 A 10 10 1. 35 0.286







455 A 11 10 1. 35 0.286







456 A 12 10 1. 35 0.286







457 A 13 10 1. 35 0.286







458 A 14 9 1. 35 0.257







459 A 12 9 1. 35 0.257







460 A 10 8 1. 33 0.242







461 A 9 7 1. 32 0.219







462 A 12 11 1. 35 0.314







463 A 12 11 1. 35 0.314







464 A 11 9 1. 35 0.257







465 A 12 9 1. 35 0.257







466 A 13 9 1. 35 0.257







467 A 11 11 1. 35 0.314







468 A 12 11 1. 35 0.314







469 A 13 11 1. 35 0.314







470 A 11 10 1. 35 0.286







471 A 12 10 1. 35 0.286







472 A 13 10 1. 35 0.286







473 A 14 10 1. 35 0.286







474 A 8 7 1.18 20 0.35







475 A 7 4 1.17 21 0.19







476 A 7 4 1.17 23 0.174







477 A 2 1 1. 23 0.043







478 A 2 1 1. 26 0.038







479 A 3 2 1. 25 0.08







480 A 3 2 1. 28 0.071







481 A 3 2 1. 25 0.08







482 A 3 2 1. 28 0.071







483 A 3 2 1. 25 0.08







484 A 3 2 1. 28 0.071







485 A 9 7 1. 26 0.269







486 A 12 9 1. 29 0.31







487 A 15 11 1. 25 0.44







488 A 18 13 1. 28 0.464







489 A 14 10 1. 25 0.4







490 A 14 10 1. 28 0.357







491 A 15 11 1. 25 0.44







492 A 15 11 1. 28 0.393







493 A 16 11 1. 25 0.44







494 A 16 11 1. 28 0.393







495 A 14 12 1. 30 0.4







496 A 13 11 1. 30 0.367







497 A 12 11 1. 30 0.367







498 A 12 11 1. 28 0.393







499 A 11 10 1. 27 0.37







500 A 14 13 1. 30 0.433







501 A 14 13 1. 30 0.433







502 A 14 13 1. 30 0.433







503 A 15 14 1. 30 0.467







504 A 13 13 1. 30 0.433







505 A 14 14 1. 30 0.467







506 A 12 12 1. 30 0.4







507 A 13 12 1. 30 0.4







508 A 14 13 1. 30 0.433







509 A 15 13 1. 30 0.433







510 A 16 12 1. 30 0.4







511 A 15 11 1. 30 0.367







512 A 14 11 1. 30 0.367







513 A 14 11 1. 28 0.393







514 A 13 10 1. 27 0.37







515 A 16 13 1. 30 0.433







516 A 16 14 1. 30 0.467







517 A 16 15 1. 30 0.5







518 A 16 14 1. 30 0.467







519 A 15 15 1. 30 0.5







520 A 15 15 1. 30 0.5







521 A 15 15 1. 30 0.5







522 A 16 16 1. 30 0.533







523 A 14 13 1. 30 0.433







524 A 15 14 1. 30 0.467







525 A 13 12 1. 30 0.4







526 A 14 12 1. 30 0.4







527 A 15 13 1. 30 0.433







528 A 16 13 1. 30 0.433







529 A 12 10 1. 30 0.333







530 A 11 9 1. 30 0.3







531 A 10 9 1. 30 0.3







532 A 10 9 1. 28 0.321







533 A 9 8 1. 27 0.296







534 A 12 11 1. 30 0.367







535 A 13 12 1. 30 0.4







536 A 11 10 1. 30 0.333







537 A 12 10 1. 30 0.333







538 A 13 11 1. 30 0.367







539 A 14 11 1. 30 0.367







540 A 12 11 1. 30 0.367







541 A 11 10 1. 30 0.333







542 A 10 9 1. 30 0.3







543 A 9 8 1. 30 0.267







544 A 10 9 1. 30 0.3







545 A 7 6 1. 28 0.214







546 A 4 4 1. 27 0.148







547 A 11 10 1. 30 0.333







548 A 13 12 1. 30 0.4







549 A 15 12 1. 30 0.4







550 A 17 13 1. 30 0.433







551 A 14 4 1. 30 0.133







552 A 12 8 1.19 25 0.32







553 A 13 7 1. 28 0.25







554 A 2 2 1. 22 0.091







555 A 2 2 1. 35 0.057







556 A 2 2 1. 35 0.057







557 A 2 2 1. 22 0.091







558 A 3 3 1. 25 0.12







559 A 6 5 1. 15 0.333







560 A 6 5 1. 15 0.333







561 A 7 6 1. 20 0.3







562 A 7 6 1. 20 0.3







563 A 7 7 1. 17 0.412







564 A 7 6 1. 25 0.24







565 A 11 6 1. 35 0.171







566 A 11 6 1. 35 0.171







567 A 8 5 1. 22 0.227







568 A 11 7 1. 25 0.28







569 A 17 7 1. 15 0.467







570 A 17 7 1. 15 0.467







571 A 14 7 1. 20 0.35







572 A 14 7 1. 20 0.35







573 A 15 9 1. 17 0.529







574 A 14 7 1. 25 0.28







575 A 13 7 1. 18 0.389







576 A 7 4 1. 36 0.111







577 A 4 3 1. 19 0.158







578 A 4 3 1. 19 0.158







579 A 4 2 1. 17 0.118







580 A 1 0 1. 9 0.







581 A 3 3 1. 19 0.158







582 A 3 3 1. 19 0.158







583 A 3 3 1. 19 0.158







584 A 13 4 1. 38 0.105







585 A 2 2 1. 58 0.034







586 A 10 3 1. 30 0.1







587 A 13 4 1. 36 0.111







588 A 4 4 1. 35 0.114







589 A 1 1 1. 46 0.022







590 A 10 8 1. 24 0.333







591 A 1 1 1. 48 0.021







592 A 1 1 1. 45 0.022







593 A 1 1 1. 69 0.014







594 A 1 1 1. 86 0.012