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, 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, 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 }

B grade: { }

C grade: { }

F grade: { 132, 298}

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 22, 23, 26, 67, 68, 69, 70, 71, 72, 80, 81, 83, 84, 85, 87, 93, 94, 95, 96, 97, 99, 100, 101, 103, 104, 105, 107, 108, 109, 112, 113, 114, 116, 117, 118, 119, 120, 121, 129, 130, 131, 133, 134, 135, 141, 142, 143, 144, 145, 146, 147, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 175, 176, 177, 182, 183, 184, 185, 188, 190, 191, 192, 194, 195, 197, 198, 200, 203, 204, 206, 207, 210, 212, 216, 220, 221, 222, 223, 224, 225, 226, 227, 231, 238, 239, 245, 252, 253, 259, 267, 271, 278, 283, 290, 304, 305, 306, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 324, 325, 326, 327, 328, 329, 337, 338, 339, 340, 341, 342, 350, 351, 352, 353, 354, 355, 363, 364, 365, 366, 367, 368, 382, 383, 386, 387, 388, 395, 396, 408, 409, 412, 413, 414, 421, 422, 425, 426, 427, 438, 439, 440, 442, 443, 444, 445, 446, 452, 453, 454, 455, 456, 459, 462, 463, 464, 465, 466, 467, 468, 469, 470 }

B grade: { 5, 6, 7, 18, 19, 21, 24, 25, 27, 102, 106, 115, 125, 126, 127, 132, 136, 137, 138, 139, 140, 174, 178, 179, 236, 256, 265, 266, 279, 291, 297, 298, 299, 300, 301, 302, 303, 307, 308, 309, 310, 330, 331, 332, 333, 334, 335, 336, 378, 411, 423, 424, 434, 435, 436, 441, 447, 448, 449, 450, 451 }

C grade: { 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, 75, 77, 78, 79, 82, 88, 89, 90, 91, 92, 98, 110, 111, 122, 123, 124, 128, 148, 149, 150, 151, 180, 181, 186, 187, 189, 193, 196, 199, 201, 202, 205, 208, 209, 211, 213, 214, 215, 217, 218, 219, 232, 234, 235, 240, 246, 247, 248, 249, 250, 251, 254, 255, 260, 263, 264, 268, 269, 272, 276, 277, 280, 281, 282, 284, 289, 292, 293, 294, 295, 296, 321, 322, 323, 343, 344, 345, 346, 347, 348, 349, 356, 357, 358, 359, 360, 361, 362, 369, 370, 371, 372, 373, 374, 375, 380, 384, 391, 392, 393, 394, 397, 398, 399, 400, 401, 416, 417, 428, 429, 430, 437, 457, 458, 460, 461 }

F grade: { 73, 74, 76, 86, 228, 229, 230, 233, 237, 241, 242, 243, 244, 257, 258, 261, 262, 270, 273, 274, 275, 285, 286, 287, 288, 376, 377, 379, 381, 385, 389, 390, 402, 403, 404, 405, 406, 407, 410, 415, 418, 419, 420, 431, 432, 433}

2.1.3 Maple

A grade: { 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 48, 49, 50, 51, 52, 53, 54, 55, 56, 61, 62, 64, 66, 69, 82, 93, 94, 95, 103, 104, 105, 108, 116, 117, 118, 119, 120, 121, 129, 130, 131, 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, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 214, 216, 217, 218, 220, 221, 278, 290, 291, 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, 345, 346, 347, 348, 349, 350, 351, 352, 353, 358, 359, 360, 361, 362, 363, 364, 365, 374, 375, 378, 391, 404, 417, 430, 454, 455, 456, 457, 458, 459, 460, 462, 466, 467, 468, 469, 470 }

B grade: { 5, 6, 18, 19, 20, 28, 32, 33, 34, 35, 46, 47, 57, 58, 59, 60, 63, 65, 67, 68, 70, 71, 72, 80, 81, 83, 84, 85, 96, 97, 98, 106, 107, 109, 110, 111, 122, 123, 124, 192, 212, 213, 215, 219, 222, 223, 224, 225, 226, 227, 341, 342, 343, 344, 354, 355, 356, 357, 366, 367, 368, 369, 370, 371, 372, 373, 376, 377, 379, 380, 381, 389, 390, 392, 393, 394, 402, 403, 405, 406, 407, 415, 416, 418, 419, 420, 428, 429, 431, 432, 433, 452, 453, 461 }

C grade: { 73, 74, 75, 76, 77, 78, 79, 86, 87, 88, 89, 90, 91, 92, 99, 100, 101, 102, 112, 113, 114, 115, 125, 126, 127, 128, 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, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 292, 293, 294, 295, 296, 297, 382, 383, 384, 385, 386, 387, 388, 395, 396, 397, 398, 399, 400, 401, 408, 409, 410, 411, 412, 413, 414, 421, 422, 423, 424, 425, 426, 427, 434, 435, 436, 437, 438, 439, 440 }

F grade: { 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 463, 464, 465 }

2.1.4 Maxima

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, 93, 94, 95, 106, 107, 108, 119, 120, 121, 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, 220, 221, 222, 223, 224, 225, 226, 227, 278, 290, 291, 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, 350, 351, 352, 353, 354, 363, 364, 365, 366, 452, 453, 454, 455, 456, 459, 462, 466, 467, 468, 469, 470

B grade: { 297, 355, 367, 368 }

C grade: { }

F grade: { 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, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 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, 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, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 292, 293, 294, 295, 296, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 343, 344, 345, 346, 347, 348, 349, 356, 357, 358, 359, 360, 361, 362, 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, 457, 458, 460, 461, 463, 464, 465 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 41, 42, 43, 47, 48, 49, 54, 55, 56, 60, 61, 67, 68, 69, 70, 71, 73, 74, 80, 81, 82, 83, 84, 85, 86, 87, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 103, 104, 105, 106, 107, 108, 112, 113, 116, 117, 118, 119, 120, 121, 125, 126, 129, 144, 145, 146, 147, 148, 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, 189, 190, 191, 192, 193, 194, 195, 196, 198, 203, 204, 205, 218, 220, 221, 222, 223, 224, 225, 226, 227, 234, 235, 239, 240, 247, 248, 249, 253, 263, 268, 269, 276, 281, 282, 290, 311, 312, 313, 314, 315, 316, 317, 318, 319, 321, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 337, 338, 339, 340, 341, 345, 346, 350, 351, 352, 353, 363, 364, 365, 382, 395, 396, 452, 453, 454, 455, 456, 459, 462, 466, 467, 468, 469, 470 }

B grade: { 5, 6, 7, 11, 19, 20, 33, 39, 40, 44, 45, 46, 50, 51, 52, 53, 57, 58, 59, 62, 63, 64, 65, 66, 72, 75, 76, 77, 78, 79, 88, 89, 101, 102, 109, 110, 111, 114, 115, 122, 123, 124, 127, 128, 130, 131, 149, 150, 151, 161, 186, 187, 188, 197, 199, 200, 201, 202, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 219, 236, 237, 238, 250, 251, 252, 254, 255, 256, 264, 265, 266, 267, 277, 278, 279, 280, 289, 291, 292, 293, 294, 295, 296, 297, 320, 322, 323, 335, 336, 342, 343, 344, 347, 348, 349, 354, 355, 356, 357, 358, 359, 360, 361, 362, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 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 }

C grade: { 457, 458, 460, 461 }

F grade: { 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 228, 229, 230, 231, 232, 233, 241, 242, 243, 244, 245, 246, 257, 258, 259, 260, 261, 262, 270, 271, 272, 273, 274, 275, 283, 284, 285, 286, 287, 288, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 463, 464, 465 }

2.1.6 Sympy

A grade: { 162, 311, 312, 313, 317, 318, 319, 324, 325, 326, 339, 417, 430, 452, 453, 454, 459, 468, 469 }

B grade: { }

C grade: { }

F 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, 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, 314, 315, 316, 320, 321, 322, 323, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 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, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 455, 456, 457, 458, 460, 461, 462, 463, 464, 465, 466, 467, 470 }

2.1.7 Giac

A grade: { 3, 4, 8, 9, 10, 11, 12, 13, 14, 16, 17, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 42, 43, 47, 48, 49, 50, 51, 52, 53, 55, 56, 60, 61, 62, 63, 64, 65, 66, 68, 69, 81, 82, 144, 145, 146, 147, 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, 238, 239, 317, 318, 319, 320, 330, 331, 332, 333, 334, 343, 344, 345, 346, 347, 348, 356, 357, 358, 359, 360, 361, 362, 369, 370, 371, 372, 373, 374, 375, 455, 462, 466, 467, 468, 469, 470 }

B grade: { 1, 2, 5, 6, 7, 15, 18, 19, 20, 28, 32, 33, 41, 44, 45, 46, 54, 57, 58, 59, 95, 148, 149, 150, 151, 222, 223, 225, 226, 227, 278, 290, 291, 311, 312, 313, 314, 315, 316, 321, 322, 323, 324, 325, 326, 327, 328, 329, 335, 336, 337, 338, 339, 340, 341, 342, 349, 350, 351, 352, 353, 354, 355, 363, 364, 365, 366, 367, 368, 378, 403, 404, 417, 430, 452, 453, 454, 456, 458, 459 }

C grade: { }

F grade: { 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 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, 224, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 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, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 376, 377, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 457, 460, 461, 463, 464, 465 }

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 F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 120 102 99 186 0 389
normalized size 1 1. 1.45 1.23 1.19 2.24 0. 4.69
time (sec) N/A 0.061 0.084 0.047 1.003 0.928 0. 1.199


















Problem 2 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 66 66 88 82 78 150 0 288
normalized size 1 1. 1.33 1.24 1.18 2.27 0. 4.36
time (sec) N/A 0.051 0.045 0.043 1.013 0.839 0. 1.221


















Problem 3 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 44 44 53 62 54 100 0 82
normalized size 1 1. 1.2 1.41 1.23 2.27 0. 1.86
time (sec) N/A 0.039 0.032 0.041 0.976 1.019 0. 1.274


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 35 25 34 57 0 38
normalized size 1 1. 1.46 1.04 1.42 2.38 0. 1.58
time (sec) N/A 0.02 0.018 0.019 1.007 0.901 0. 1.298


















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 84 57 59 178 0 82
normalized size 1 1. 3.11 2.11 2.19 6.59 0. 3.04
time (sec) N/A 0.031 0.04 0.04 1.026 0.837 0. 1.343


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 236 100 103 325 0 278
normalized size 1 1. 4.45 1.89 1.94 6.13 0. 5.25
time (sec) N/A 0.052 0.388 0.05 1.013 0.815 0. 1.266


















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 198 142 136 481 0 379
normalized size 1 1. 2.44 1.75 1.68 5.94 0. 4.68
time (sec) N/A 0.075 1.843 0.049 1.017 0.772 0. 1.238


















Problem 8 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 98 98 78 112 150 220 0 153
normalized size 1 1. 0.8 1.14 1.53 2.24 0. 1.56
time (sec) N/A 0.104 0.308 0.046 1.481 0.502 0. 1.243


















Problem 9 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 70 70 54 92 111 167 0 120
normalized size 1 1. 0.77 1.31 1.59 2.39 0. 1.71
time (sec) N/A 0.064 0.303 0.046 1.505 0.49 0. 1.152


















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 54 46 63 123 0 69
normalized size 1 1. 1.29 1.1 1.5 2.93 0. 1.64
time (sec) N/A 0.044 0.096 0.038 1.487 0.478 0. 1.159


















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 16 20 76 0 22
normalized size 1 1. 1. 1.07 1.33 5.07 0. 1.47
time (sec) N/A 0.012 0.003 0.015 0.977 0.463 0. 1.27


















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 36 43 35 85 0 38
normalized size 1 1. 1.38 1.65 1.35 3.27 0. 1.46
time (sec) N/A 0.034 0.064 0.039 0.967 0.454 0. 1.312


















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 84 73 58 163 0 73
normalized size 1 1. 1.83 1.59 1.26 3.54 0. 1.59
time (sec) N/A 0.046 0.046 0.048 1.003 0.457 0. 1.299


















Problem 14 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 68 68 128 101 86 236 0 111
normalized size 1 1. 1.88 1.49 1.26 3.47 0. 1.63
time (sec) N/A 0.056 0.046 0.053 1.013 0.47 0. 1.339


















Problem 15 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 97 97 118 155 120 217 0 602
normalized size 1 1. 1.22 1.6 1.24 2.24 0. 6.21
time (sec) N/A 0.09 0.633 0.053 1.005 0.512 0. 1.303


















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 83 125 90 158 0 131
normalized size 1 1. 1.15 1.74 1.25 2.19 0. 1.82
time (sec) N/A 0.072 0.465 0.053 1.013 0.496 0. 1.337


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 75 42 57 104 0 63
normalized size 1 1. 1.63 0.91 1.24 2.26 0. 1.37
time (sec) N/A 0.035 0.114 0.028 0.976 0.485 0. 1.274


















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 108 117 111 271 0 244
normalized size 1 1. 2.08 2.25 2.13 5.21 0. 4.69
time (sec) N/A 0.066 0.532 0.05 1.021 0.517 0. 1.293


















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 1021 195 170 471 0 491
normalized size 1 1. 9.82 1.88 1.63 4.53 0. 4.72
time (sec) N/A 0.11 6.575 0.063 1.047 0.541 0. 1.292


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 141 141 218 264 223 713 0 713
normalized size 1 1. 1.55 1.87 1.58 5.06 0. 5.06
time (sec) N/A 0.138 1.897 0.069 1.036 0.537 0. 1.313


















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 499 199 221 320 0 266
normalized size 1 1. 3.37 1.34 1.49 2.16 0. 1.8
time (sec) N/A 0.177 1.505 0.056 1.559 0.55 0. 1.266


















Problem 22 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 114 114 153 123 162 257 0 178
normalized size 1 1. 1.34 1.08 1.42 2.25 0. 1.56
time (sec) N/A 0.121 1.721 0.054 1.53 0.522 0. 1.299


















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 126 71 90 189 0 97
normalized size 1 1. 1.73 0.97 1.23 2.59 0. 1.33
time (sec) N/A 0.099 0.989 0.049 1.485 0.504 0. 1.219


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 106 48 59 142 0 72
normalized size 1 1. 2.65 1.2 1.48 3.55 0. 1.8
time (sec) N/A 0.029 0.358 0.032 1.013 0.487 0. 1.155


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 109 96 73 163 0 86
normalized size 1 1. 2.18 1.92 1.46 3.26 0. 1.72
time (sec) N/A 0.058 1.019 0.053 1.014 0.483 0. 1.264


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 151 144 108 240 0 142
normalized size 1 1. 1.99 1.89 1.42 3.16 0. 1.87
time (sec) N/A 0.076 1.307 0.061 0.988 0.478 0. 1.277


















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 353 190 144 346 0 204
normalized size 1 1. 3.43 1.84 1.4 3.36 0. 1.98
time (sec) N/A 0.097 1.772 0.061 1. 0.497 0. 1.169


















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 425 183 0 555 0 504
normalized size 1 1. 4.34 1.87 0. 5.66 0. 5.14
time (sec) N/A 0.105 3.518 0.066 0. 0.57 0. 1.155


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 376 103 0 381 0 120
normalized size 1 1. 5.3 1.45 0. 5.37 0. 1.69
time (sec) N/A 0.084 1.626 0.064 0. 0.552 0. 1.187


















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 329 46 0 265 0 59
normalized size 1 1. 7. 0.98 0. 5.64 0. 1.26
time (sec) N/A 0.041 0.957 0.033 0. 0.534 0. 1.214


















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 239 76 0 410 0 116
normalized size 1 1. 4.35 1.38 0. 7.45 0. 2.11
time (sec) N/A 0.071 0.624 0.066 0. 0.565 0. 1.148


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 371 158 0 848 0 294
normalized size 1 1. 4.31 1.84 0. 9.86 0. 3.42
time (sec) N/A 0.1 1.866 0.081 0. 0.675 0. 1.222


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 549 296 0 1643 0 551
normalized size 1 1. 4.26 2.29 0. 12.74 0. 4.27
time (sec) N/A 0.154 5.598 0.084 0. 0.8 0. 1.282


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 166 166 357 460 0 1019 0 338
normalized size 1 1. 2.15 2.77 0. 6.14 0. 2.04
time (sec) N/A 0.335 4.349 0.102 0. 0.625 0. 1.279


















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 303 260 0 792 0 216
normalized size 1 1. 2.59 2.22 0. 6.77 0. 1.85
time (sec) N/A 0.169 2.138 0.097 0. 0.592 0. 1.289


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 245 124 0 625 0 131
normalized size 1 1. 3.22 1.63 0. 8.22 0. 1.72
time (sec) N/A 0.098 0.896 0.085 0. 0.563 0. 1.237


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 182 48 0 544 0 92
normalized size 1 1. 4.04 1.07 0. 12.09 0. 2.04
time (sec) N/A 0.044 0.293 0.07 0. 0.557 0. 1.257


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 189 54 0 655 0 100
normalized size 1 1. 3.5 1. 0. 12.13 0. 1.85
time (sec) N/A 0.073 0.67 0.084 0. 0.556 0. 1.274


















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 226 74 0 954 0 144
normalized size 1 1. 2.97 0.97 0. 12.55 0. 1.89
time (sec) N/A 0.094 2.137 0.097 0. 0.573 0. 1.304


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 318 116 0 1397 0 243
normalized size 1 1. 3.03 1.1 0. 13.3 0. 2.31
time (sec) N/A 0.139 1.829 0.115 0. 0.606 0. 1.323


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 454 276 0 941 0 736
normalized size 1 1. 2.82 1.71 0. 5.84 0. 4.57
time (sec) N/A 0.178 6.823 0.097 0. 0.65 0. 1.169


















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 403 165 0 684 0 193
normalized size 1 1. 3.54 1.45 0. 6. 0. 1.69
time (sec) N/A 0.112 4.214 0.082 0. 0.589 0. 1.172


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 393 75 0 478 0 103
normalized size 1 1. 4.68 0.89 0. 5.69 0. 1.23
time (sec) N/A 0.051 3.876 0.042 0. 0.553 0. 1.209


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 384 172 0 932 0 385
normalized size 1 1. 3.88 1.74 0. 9.41 0. 3.89
time (sec) N/A 0.107 1.138 0.085 0. 0.727 0. 1.165


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 468 250 0 1613 0 787
normalized size 1 1. 3.18 1.7 0. 10.97 0. 5.35
time (sec) N/A 0.173 1.903 0.11 0. 0.822 0. 1.241


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 450 390 0 2747 0 950
normalized size 1 1. 2.28 1.98 0. 13.94 0. 4.82
time (sec) N/A 0.246 2.325 0.119 0. 0.974 0. 1.327


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 267 267 2738 555 0 1577 0 420
normalized size 1 1. 10.25 2.08 0. 5.91 0. 1.57
time (sec) N/A 0.426 24.021 0.112 0. 0.74 0. 1.262


















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 191 191 1105 323 0 1211 0 275
normalized size 1 1. 5.79 1.69 0. 6.34 0. 1.44
time (sec) N/A 0.255 14.277 0.102 0. 0.664 0. 1.25


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 130 130 825 155 0 1046 0 213
normalized size 1 1. 6.35 1.19 0. 8.05 0. 1.64
time (sec) N/A 0.169 11.834 0.098 0. 0.627 0. 1.268


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 240 127 0 1027 0 161
normalized size 1 1. 2.61 1.38 0. 11.16 0. 1.75
time (sec) N/A 0.086 2.018 0.083 0. 0.608 0. 1.123


















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 242 86 0 975 0 180
normalized size 1 1. 2.66 0.95 0. 10.71 0. 1.98
time (sec) N/A 0.085 2.326 0.11 0. 0.6 0. 1.27


















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 637 160 0 1534 0 259
normalized size 1 1. 5.18 1.3 0. 12.47 0. 2.11
time (sec) N/A 0.175 6.768 0.106 0. 0.688 0. 1.289


















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 188 188 777 189 0 2260 0 355
normalized size 1 1. 4.13 1.01 0. 12.02 0. 1.89
time (sec) N/A 0.264 3.538 0.118 0. 0.746 0. 1.311


















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 214 214 1641 374 0 1361 0 1130
normalized size 1 1. 7.67 1.75 0. 6.36 0. 5.28
time (sec) N/A 0.255 12.255 0.098 0. 0.741 0. 1.244


















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 154 154 1392 231 0 1007 0 247
normalized size 1 1. 9.04 1.5 0. 6.54 0. 1.6
time (sec) N/A 0.188 11.69 0.093 0. 0.679 0. 1.21


















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 656 108 0 713 0 131
normalized size 1 1. 5.66 0.93 0. 6.15 0. 1.13
time (sec) N/A 0.068 7.149 0.046 0. 0.603 0. 1.331


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 447 352 0 1773 0 844
normalized size 1 1. 2.9 2.29 0. 11.51 0. 5.48
time (sec) N/A 0.196 2.619 0.099 0. 1.01 0. 1.277


















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 213 213 532 430 0 2946 0 1068
normalized size 1 1. 2.5 2.02 0. 13.83 0. 5.01
time (sec) N/A 0.312 3.651 0.114 0. 1.165 0. 1.492


















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 257 257 549 567 0 4163 0 1889
normalized size 1 1. 2.14 2.21 0. 16.2 0. 7.35
time (sec) N/A 0.366 5.231 0.123 0. 1.365 0. 1.392


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 314 314 1639 689 0 2167 0 502
normalized size 1 1. 5.22 2.19 0. 6.9 0. 1.6
time (sec) N/A 0.505 19.802 0.126 0. 0.889 0. 1.325


















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 238 238 2469 423 0 1859 0 439
normalized size 1 1. 10.37 1.78 0. 7.81 0. 1.84
time (sec) N/A 0.34 25.858 0.117 0. 0.796 0. 1.369


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 184 184 1915 314 0 1872 0 296
normalized size 1 1. 10.41 1.71 0. 10.17 0. 1.61
time (sec) N/A 0.278 19.24 0.101 0. 0.754 0. 1.296


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 144 144 332 321 0 1854 0 277
normalized size 1 1. 2.31 2.23 0. 12.88 0. 1.92
time (sec) N/A 0.188 5.876 0.083 0. 0.713 0. 1.133


















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 124 124 987 157 0 1430 0 248
normalized size 1 1. 7.96 1.27 0. 11.53 0. 2.
time (sec) N/A 0.111 6.794 0.104 0. 0.702 0. 1.288


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 164 164 994 306 0 2288 0 371
normalized size 1 1. 6.06 1.87 0. 13.95 0. 2.26
time (sec) N/A 0.25 4.429 0.122 0. 0.788 0. 1.314


















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 242 242 479 411 0 3312 0 516
normalized size 1 1. 1.98 1.7 0. 13.69 0. 2.13
time (sec) N/A 0.37 6.067 0.136 0. 0.898 0. 1.292


















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 152 1840 0 734 0 0
normalized size 1 1. 1.09 13.24 0. 5.28 0. 0.
time (sec) N/A 0.147 0.889 0.745 0. 1.189 0. 0.


















Problem 68 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 100 100 120 1525 0 578 0 120
normalized size 1 1. 1.2 15.25 0. 5.78 0. 1.2
time (sec) N/A 0.094 0.379 0.384 0. 1.121 0. 1.319


















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 98 93 0 468 0 78
normalized size 1 1. 1.48 1.41 0. 7.09 0. 1.18
time (sec) N/A 0.053 0.15 0.077 0. 1.079 0. 1.259


















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 119 688 0 1281 0 0
normalized size 1 1. 1.45 8.39 0. 15.62 0. 0.
time (sec) N/A 0.09 0.131 0.401 0. 0.778 0. 0.


















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 163 3015 0 2234 0 0
normalized size 1 1. 1.31 24.31 0. 18.02 0. 0.
time (sec) N/A 0.136 0.44 0.447 0. 1.051 0. 0.


















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 198 9758 0 3656 0 0
normalized size 1 1. 1.08 53.32 0. 19.98 0. 0.
time (sec) N/A 0.22 1.407 0.472 0. 2.166 0. 0.


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F A F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 240 240 0 2665 0 4146 0 0
normalized size 1 1. 0. 11.1 0. 17.27 0. 0.
time (sec) N/A 0.384 9.038 0.752 0. 9.966 0. 0.


















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F A F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 181 181 0 1940 0 3776 0 0
normalized size 1 1. 0. 10.72 0. 20.86 0. 0.
time (sec) N/A 0.221 5.425 0.411 0. 3.474 0. 0.


















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 432 1290 0 3478 0 0
normalized size 1 1. 3.51 10.49 0. 28.28 0. 0.
time (sec) N/A 0.131 5.752 0.321 0. 1.671 0. 0.


















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F(-2) B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 79 79 0 589 0 2984 0 0
normalized size 1 1. 0. 7.46 0. 37.77 0. 0.
time (sec) N/A 0.051 1.81 0.511 0. 1.189 0. 0.


















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 61 1003 0 780 0 0
normalized size 1 1. 0.9 14.75 0. 11.47 0. 0.
time (sec) N/A 0.081 0.227 0.499 0. 0.701 0. 0.


















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 105 105 285 3847 0 1092 0 0
normalized size 1 1. 2.71 36.64 0. 10.4 0. 0.
time (sec) N/A 0.097 3.876 0.415 0. 1.275 0. 0.


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 149 149 941 8587 0 1639 0 0
normalized size 1 1. 6.32 57.63 0. 11. 0. 0.
time (sec) N/A 0.14 9.56 0.58 0. 4.453 0. 0.


















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 196 196 188 2537 0 876 0 0
normalized size 1 1. 0.96 12.94 0. 4.47 0. 0.
time (sec) N/A 0.18 1.478 0.624 0. 1.724 0. 0.


















Problem 81 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 162 162 164 1913 0 710 0 219
normalized size 1 1. 1.01 11.81 0. 4.38 0. 1.35
time (sec) N/A 0.142 0.791 0.42 0. 1.582 0. 1.414


















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 73 121 0 591 0 124
normalized size 1 1. 0.73 1.21 0. 5.91 0. 1.24
time (sec) N/A 0.07 0.665 0.059 0. 1.184 0. 1.305


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 171 2563 0 1867 0 0
normalized size 1 1. 1.4 21.01 0. 15.3 0. 0.
time (sec) N/A 0.136 0.59 0.329 0. 1.096 0. 0.


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 202 5178 0 2477 0 0
normalized size 1 1. 1.25 32.16 0. 15.39 0. 0.
time (sec) N/A 0.203 1.499 0.378 0. 1.125 0. 0.


















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 218 218 262 10199 0 3794 0 0
normalized size 1 1. 1.2 46.78 0. 17.4 0. 0.
time (sec) N/A 0.336 3.573 0.428 0. 1.323 0. 0.


















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F A F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 298 298 0 3067 0 4521 0 0
normalized size 1 1. 0. 10.29 0. 15.17 0. 0.
time (sec) N/A 0.474 10.573 0.834 0. 34.262 0. 0.


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 217 217 211 2309 0 4078 0 0
normalized size 1 1. 0.97 10.64 0. 18.79 0. 0.
time (sec) N/A 0.341 5.642 0.541 0. 11.429 0. 0.


















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 493 1583 0 3771 0 0
normalized size 1 1. 3.06 9.83 0. 23.42 0. 0.
time (sec) N/A 0.198 5.889 0.362 0. 3.922 0. 0.


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 527 1556 0 3602 0 0
normalized size 1 1. 4.47 13.19 0. 30.53 0. 0.
time (sec) N/A 0.096 5.542 0.309 0. 1.767 0. 0.


















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 64 2032 0 932 0 0
normalized size 1 1. 0.61 19.35 0. 8.88 0. 0.
time (sec) N/A 0.105 0.221 0.345 0. 1.308 0. 0.


















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 369 3925 0 1180 0 0
normalized size 1 1. 2.15 22.82 0. 6.86 0. 0.
time (sec) N/A 0.153 8.626 0.396 0. 4.958 0. 0.


















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 209 209 512 8726 0 1732 0 0
normalized size 1 1. 2.45 41.75 0. 8.29 0. 0.
time (sec) N/A 0.205 10.446 0.951 0. 20.366 0. 0.


















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 93 105 219 213 0 0
normalized size 1 1. 0.76 0.85 1.78 1.73 0. 0.
time (sec) N/A 0.139 0.98 0.427 1.211 0.573 0. 0.


















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 64 69 112 139 0 0
normalized size 1 1. 0.86 0.93 1.51 1.88 0. 0.
time (sec) N/A 0.091 0.295 0.344 1.024 0.551 0. 0.


















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 48 31 38 88 0 81
normalized size 1 1. 1.6 1.03 1.27 2.93 0. 2.7
time (sec) N/A 0.042 0.114 0.076 0.995 0.511 0. 1.663


















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 86 280 0 360 0 0
normalized size 1 1. 2. 6.51 0. 8.37 0. 0.
time (sec) N/A 0.068 0.106 0.379 0. 0.698 0. 0.


















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 140 2199 0 765 0 0
normalized size 1 1. 1.61 25.28 0. 8.79 0. 0.
time (sec) N/A 0.11 1.033 0.414 0. 0.794 0. 0.


















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 78 4983 0 1185 0 0
normalized size 1 1. 0.57 36.11 0. 8.59 0. 0.
time (sec) N/A 0.165 0.182 0.412 0. 0.919 0. 0.


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 163 2425 0 1543 0 0
normalized size 1 1. 0.84 12.56 0. 7.99 0. 0.
time (sec) N/A 0.278 1.647 0.62 0. 4.389 0. 0.


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 145 1701 0 1362 0 0
normalized size 1 1. 1.07 12.6 0. 10.09 0. 0.
time (sec) N/A 0.152 0.606 0.425 0. 1.617 0. 0.


















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 125 1055 0 1218 0 0
normalized size 1 1. 1.47 12.41 0. 14.33 0. 0.
time (sec) N/A 0.109 0.275 0.355 0. 0.931 0. 0.


















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 87 380 0 976 0 0
normalized size 1 1. 2.23 9.74 0. 25.03 0. 0.
time (sec) N/A 0.029 0.067 0.409 0. 0.762 0. 0.


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 55 48 0 113 0 0
normalized size 1 1. 1.67 1.45 0. 3.42 0. 0.
time (sec) N/A 0.071 0.113 0.322 0. 0.529 0. 0.


















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 74 66 0 235 0 0
normalized size 1 1. 0.95 0.85 0. 3.01 0. 0.
time (sec) N/A 0.097 0.209 0.343 0. 0.729 0. 0.


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 100 101 0 409 0 0
normalized size 1 1. 0.76 0.77 0. 3.1 0. 0.
time (sec) N/A 0.14 0.351 0.383 0. 1.82 0. 0.


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 432 35190 338 324 0 0
normalized size 1 1. 2.53 205.79 1.98 1.89 0. 0.
time (sec) N/A 0.187 7.611 2.064 1.045 0.864 0. 0.


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 93 12782 190 228 0 0
normalized size 1 1. 0.82 112.12 1.67 2. 0. 0.
time (sec) N/A 0.117 3.687 0.89 1.02 0.723 0. 0.


















Problem 108 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 62 62 64 59 77 158 0 0
normalized size 1 1. 1.03 0.95 1.24 2.55 0. 0.
time (sec) N/A 0.056 1.421 0.052 1.003 0.607 0. 0.


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 113 1094 0 821 0 0
normalized size 1 1. 1.41 13.68 0. 10.26 0. 0.
time (sec) N/A 0.092 0.838 0.355 0. 0.847 0. 0.


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 97 3289 0 1277 0 0
normalized size 1 1. 0.77 26.1 0. 10.13 0. 0.
time (sec) N/A 0.153 0.353 0.391 0. 1.038 0. 0.


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 177 177 100 8268 0 1989 0 0
normalized size 1 1. 0.56 46.71 0. 11.24 0. 0.
time (sec) N/A 0.216 0.505 0.446 0. 1.241 0. 0.


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 242 242 256 2437 0 1932 0 0
normalized size 1 1. 1.06 10.07 0. 7.98 0. 0.
time (sec) N/A 0.374 8.645 0.695 0. 20.115 0. 0.


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 229 1714 0 1667 0 0
normalized size 1 1. 1.31 9.79 0. 9.53 0. 0.
time (sec) N/A 0.217 3.717 0.424 0. 6.326 0. 0.


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 190 1069 0 1458 0 0
normalized size 1 1. 1.57 8.83 0. 12.05 0. 0.
time (sec) N/A 0.15 1.33 0.314 0. 2.101 0. 0.


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 168 1007 0 1438 0 0
normalized size 1 1. 2.18 13.08 0. 18.68 0. 0.
time (sec) N/A 0.05 1.388 0.408 0. 1.04 0. 0.


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 76 89 0 238 0 0
normalized size 1 1. 1.12 1.31 0. 3.5 0. 0.
time (sec) N/A 0.091 1.77 0.282 0. 0.853 0. 0.


















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 102 137 0 428 0 0
normalized size 1 1. 0.83 1.11 0. 3.48 0. 0.
time (sec) N/A 0.128 0.669 0.316 0. 2.216 0. 0.


















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 126 204 0 706 0 0
normalized size 1 1. 0.69 1.11 0. 3.86 0. 0.
time (sec) N/A 0.182 0.986 0.413 0. 7.921 0. 0.


















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 182 229 451 441 0 0
normalized size 1 1. 0.83 1.05 2.06 2.01 0. 0.
time (sec) N/A 0.215 3.42 2.01 1.017 1.438 0. 0.


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 129 159 263 321 0 0
normalized size 1 1. 0.88 1.09 1.8 2.2 0. 0.
time (sec) N/A 0.138 2.522 1.063 0.99 1.102 0. 0.


















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 88 90 116 243 0 0
normalized size 1 1. 0.91 0.93 1.2 2.51 0. 0.
time (sec) N/A 0.068 1.455 0.052 1. 0.813 0. 0.


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 108 5056 0 1341 0 0
normalized size 1 1. 0.85 39.81 0. 10.56 0. 0.
time (sec) N/A 0.142 5.338 0.68 0. 0.988 0. 0.


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 151 11110 0 2086 0 0
normalized size 1 1. 0.88 64.97 0. 12.2 0. 0.
time (sec) N/A 0.206 1.548 1.021 0. 1.313 0. 0.


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 234 129 15551 0 2969 0 0
normalized size 1 1. 0.55 66.46 0. 12.69 0. 0.
time (sec) N/A 0.324 1.923 1.572 0. 1.807 0. 0.


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 288 288 1705 4477 0 2375 0 0
normalized size 1 1. 5.92 15.55 0. 8.25 0. 0.
time (sec) N/A 0.442 19.577 1.371 0. 72.545 0. 0.


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 227 227 1315 3223 0 2060 0 0
normalized size 1 1. 5.79 14.2 0. 9.07 0. 0.
time (sec) N/A 0.302 14.36 0.744 0. 24.578 0. 0.


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 983 3158 0 2037 0 0
normalized size 1 1. 5.89 18.91 0. 12.2 0. 0.
time (sec) N/A 0.202 10.746 0.582 0. 7.396 0. 0.


















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 125 125 1927 3024 0 2021 0 0
normalized size 1 1. 15.42 24.19 0. 16.17 0. 0.
time (sec) N/A 0.099 17.282 0.423 0. 2.311 0. 0.


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 108 146 0 429 0 0
normalized size 1 1. 1.02 1.38 0. 4.05 0. 0.
time (sec) N/A 0.108 2.097 0.403 0. 2.401 0. 0.


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 138 225 0 701 0 0
normalized size 1 1. 0.87 1.42 0. 4.44 0. 0.
time (sec) N/A 0.161 4.64 0.411 0. 8.207 0. 0.


















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 226 226 173 324 0 1033 0 0
normalized size 1 1. 0.77 1.43 0. 4.57 0. 0.
time (sec) N/A 0.24 7.31 0.409 0. 29.085 0. 0.


















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F B F F F F(-1) F
verified N/A N/A NO TBD TBD TBD TBD TBD
size 123 0 286 0 0 0 0 0
normalized size 1 0. 2.33 0. 0. 0. 0. 0.
time (sec) N/A 0.045 4.055 1.088 0. 0. 0. 0.


















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 182 182 253 0 0 0 0 0
normalized size 1 1. 1.39 0. 0. 0. 0. 0.
time (sec) N/A 0.192 7.79 1.09 0. 0. 0. 0.


















Problem 134 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 117 117 178 0 0 0 0 0
normalized size 1 1. 1.52 0. 0. 0. 0. 0.
time (sec) N/A 0.095 3.849 0.972 0. 0. 0. 0.


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 68 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.049 1.665 0.497 0. 0. 0. 0.


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 77 77 1532 0 0 0 0 0
normalized size 1 1. 19.9 0. 0. 0. 0. 0.
time (sec) N/A 0.077 17.116 0.383 0. 0. 0. 0.


















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 81 81 266 0 0 0 0 0
normalized size 1 1. 3.28 0. 0. 0. 0. 0.
time (sec) N/A 0.091 4.47 0.385 0. 0. 0. 0.


















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 88 88 5878 0 0 0 0 0
normalized size 1 1. 66.8 0. 0. 0. 0. 0.
time (sec) N/A 0.122 25.793 1.049 0. 0. 0. 0.


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 88 88 3781 0 0 0 0 0
normalized size 1 1. 42.97 0. 0. 0. 0. 0.
time (sec) N/A 0.099 21.91 0.872 0. 0. 0. 0.


















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 83 83 2137 0 0 0 0 0
normalized size 1 1. 25.75 0. 0. 0. 0. 0.
time (sec) N/A 0.05 15.313 0.275 0. 0. 0. 0.


















Problem 141 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 73 73 72 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.067 1.095 0.411 0. 0. 0. 0.


















Problem 142 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 128 128 132 0 0 0 0 0
normalized size 1 1. 1.03 0. 0. 0. 0. 0.
time (sec) N/A 0.106 2.281 0.398 0. 0. 0. 0.


















Problem 143 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 192 192 149 0 0 0 0 0
normalized size 1 1. 0.78 0. 0. 0. 0. 0.
time (sec) N/A 0.174 1.987 0.454 0. 0. 0. 0.


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 72 125 174 207 0 89
normalized size 1 1. 0.97 1.69 2.35 2.8 0. 1.2
time (sec) N/A 0.047 0.039 0.03 1.015 0.499 0. 1.301


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 58 81 109 167 0 72
normalized size 1 1. 1.04 1.45 1.95 2.98 0. 1.29
time (sec) N/A 0.039 0.031 0.026 1.045 0.485 0. 1.175


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 42 49 61 128 0 53
normalized size 1 1. 1.11 1.29 1.61 3.37 0. 1.39
time (sec) N/A 0.03 0.02 0.024 1.002 0.476 0. 1.276


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 26 17 22 76 0 22
normalized size 1 1. 1.62 1.06 1.38 4.75 0. 1.38
time (sec) N/A 0.013 0.006 0.014 1.051 0.466 0. 1.315


















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 31 31 35 73 0 61
normalized size 1 1. 1.63 1.63 1.84 3.84 0. 3.21
time (sec) N/A 0.021 0.028 0.047 1.526 0.464 0. 1.295


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 36 47 54 177 0 108
normalized size 1 1. 0.97 1.27 1.46 4.78 0. 2.92
time (sec) N/A 0.03 0.027 0.05 1.572 0.473 0. 1.2


















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 36 63 68 274 0 150
normalized size 1 1. 0.65 1.15 1.24 4.98 0. 2.73
time (sec) N/A 0.039 0.047 0.049 1.519 0.484 0. 1.31


















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 36 79 81 374 0 188
normalized size 1 1. 0.49 1.08 1.11 5.12 0. 2.58
time (sec) N/A 0.045 0.018 0.05 1.513 0.494 0. 1.15


















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 75 138 170 293 0 176
normalized size 1 1. 0.77 1.41 1.73 2.99 0. 1.8
time (sec) N/A 0.059 0.314 0.031 0.998 0.518 0. 1.326


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 54 98 131 243 0 142
normalized size 1 1. 0.77 1.4 1.87 3.47 0. 2.03
time (sec) N/A 0.046 0.124 0.028 0.994 0.508 0. 1.292


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 48 59 78 192 0 86
normalized size 1 1. 1.2 1.48 1.95 4.8 0. 2.15
time (sec) N/A 0.025 0.021 0.027 0.987 0.495 0. 1.294


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 35 32 51 107 0 58
normalized size 1 1. 1.46 1.33 2.12 4.46 0. 2.42
time (sec) N/A 0.028 0.017 0.046 0.987 0.501 0. 1.286


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 50 33 36 69 0 50
normalized size 1 1. 1.67 1.1 1.2 2.3 0. 1.67
time (sec) N/A 0.045 0.023 0.05 0.992 0.472 0. 1.308


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 71 54 58 113 0 84
normalized size 1 1. 1.42 1.08 1.16 2.26 0. 1.68
time (sec) N/A 0.066 0.024 0.055 1.001 0.478 0. 1.222


















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 81 78 81 188 0 116
normalized size 1 1. 0.93 0.9 0.93 2.16 0. 1.33
time (sec) N/A 0.049 0.311 0.03 0.983 0.475 0. 1.322


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 61 58 58 140 0 84
normalized size 1 1. 0.94 0.89 0.89 2.15 0. 1.29
time (sec) N/A 0.043 0.195 0.032 1.012 0.468 0. 1.291


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 36 35 46 95 0 50
normalized size 1 1. 0.84 0.81 1.07 2.21 0. 1.16
time (sec) N/A 0.038 0.088 0.028 1.023 0.458 0. 1.266


















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 16 20 76 0 22
normalized size 1 1. 1. 1.07 1.33 5.07 0. 1.47
time (sec) N/A 0.013 0.003 0.013 0.964 0.467 0. 1.296


















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 33 37 50 72 51 54
normalized size 1 1. 1.06 1.19 1.61 2.32 1.65 1.74
time (sec) N/A 0.027 0.031 0.054 1.5 0.475 21.281 1.242


















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 45 65 99 119 0 107
normalized size 1 1. 0.74 1.07 1.62 1.95 0. 1.75
time (sec) N/A 0.041 0.088 0.058 1.482 0.484 0. 1.345


















Problem 164 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 89 89 68 86 139 167 0 140
normalized size 1 1. 0.76 0.97 1.56 1.88 0. 1.57
time (sec) N/A 0.053 0.103 0.053 1.486 0.496 0. 1.342


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 119 256 270 428 0 319
normalized size 1 1. 0.72 1.55 1.64 2.59 0. 1.93
time (sec) N/A 0.141 0.535 0.041 1.026 0.548 0. 1.343


















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 94 191 224 355 0 263
normalized size 1 1. 0.73 1.48 1.74 2.75 0. 2.04
time (sec) N/A 0.134 0.398 0.037 1.007 0.528 0. 1.275


















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 63 125 161 284 0 171
normalized size 1 1. 0.69 1.37 1.77 3.12 0. 1.88
time (sec) N/A 0.074 0.136 0.037 1.015 0.511 0. 1.218


















Problem 168 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 56 56 80 78 117 239 0 113
normalized size 1 1. 1.43 1.39 2.09 4.27 0. 2.02
time (sec) N/A 0.067 0.033 0.055 1.01 0.515 0. 1.191


















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 72 72 85 165 0 101
normalized size 1 1. 1.47 1.47 1.73 3.37 0. 2.06
time (sec) N/A 0.061 0.025 0.059 0.987 0.513 0. 1.275


















Problem 170 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 53 53 106 67 74 142 0 111
normalized size 1 1. 2. 1.26 1.4 2.68 0. 2.09
time (sec) N/A 0.066 0.026 0.065 0.973 0.487 0. 1.292


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 96 134 139 300 0 221
normalized size 1 1. 0.91 1.26 1.31 2.83 0. 2.08
time (sec) N/A 0.089 0.416 0.039 1.01 0.508 0. 1.283


















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 75 104 109 234 0 166
normalized size 1 1. 0.94 1.3 1.36 2.92 0. 2.08
time (sec) N/A 0.076 0.385 0.038 1. 0.49 0. 1.247


















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 48 71 96 167 0 111
normalized size 1 1. 0.91 1.34 1.81 3.15 0. 2.09
time (sec) N/A 0.063 0.265 0.032 0.987 0.477 0. 1.354


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 106 48 59 142 0 72
normalized size 1 1. 2.65 1.2 1.48 3.55 0. 1.8
time (sec) N/A 0.029 0.397 0.038 1.019 0.482 0. 1.323


















Problem 175 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 47 47 52 51 72 134 0 77
normalized size 1 1. 1.11 1.09 1.53 2.85 0. 1.64
time (sec) N/A 0.072 0.152 0.05 1.506 0.488 0. 1.426


















Problem 176 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 81 81 58 78 117 143 0 126
normalized size 1 1. 0.72 0.96 1.44 1.77 0. 1.56
time (sec) N/A 0.086 0.126 0.057 1.471 0.49 0. 1.339


















Problem 177 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 119 119 99 116 182 212 0 217
normalized size 1 1. 0.83 0.97 1.53 1.78 0. 1.82
time (sec) N/A 0.146 0.196 0.059 1.503 0.504 0. 1.311


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 268 84 112 215 0 123
normalized size 1 1. 3.67 1.15 1.53 2.95 0. 1.68
time (sec) N/A 0.044 1.029 0.036 0.997 0.498 0. 1.241


















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 455 130 181 317 0 200
normalized size 1 1. 4.1 1.17 1.63 2.86 0. 1.8
time (sec) N/A 0.065 1.615 0.041 1.002 0.528 0. 1.234


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 86 86 1195 141 0 687 0 159
normalized size 1 1. 13.9 1.64 0. 7.99 0. 1.85
time (sec) N/A 0.121 6.457 0.075 0. 0.602 0. 1.255


















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 55 55 1022 68 0 405 0 104
normalized size 1 1. 18.58 1.24 0. 7.36 0. 1.89
time (sec) N/A 0.072 2.027 0.059 0. 0.558 0. 1.308


















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 28 0 271 0 53
normalized size 1 1. 1. 0.78 0. 7.53 0. 1.47
time (sec) N/A 0.042 0.08 0.065 0. 0.511 0. 1.244


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 52 45 0 378 0 74
normalized size 1 1. 1. 0.87 0. 7.27 0. 1.42
time (sec) N/A 0.063 0.113 0.091 0. 0.536 0. 1.181


















Problem 184 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 76 76 105 70 0 517 0 120
normalized size 1 1. 1.38 0.92 0. 6.8 0. 1.58
time (sec) N/A 0.089 0.3 0.097 0. 0.55 0. 1.265


















Problem 185 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 108 108 136 110 0 689 0 184
normalized size 1 1. 1.26 1.02 0. 6.38 0. 1.7
time (sec) N/A 0.102 0.725 0.089 0. 0.574 0. 1.237


















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 224 79 0 824 0 136
normalized size 1 1. 2.91 1.03 0. 10.7 0. 1.77
time (sec) N/A 0.088 2.389 0.059 0. 0.565 0. 1.282


















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 192 47 0 678 0 93
normalized size 1 1. 3.69 0.9 0. 13.04 0. 1.79
time (sec) N/A 0.068 0.804 0.059 0. 0.542 0. 1.184


















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 28 0 498 0 68
normalized size 1 1. 1. 0.78 0. 13.83 0. 1.89
time (sec) N/A 0.057 0.09 0.054 0. 0.547 0. 1.272


















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 182 48 0 544 0 92
normalized size 1 1. 4.04 1.07 0. 12.09 0. 2.04
time (sec) N/A 0.042 0.319 0.069 0. 0.554 0. 1.344


















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 67 92 0 663 0 134
normalized size 1 1. 0.89 1.23 0. 8.84 0. 1.79
time (sec) N/A 0.103 0.253 0.101 0. 0.567 0. 1.359


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 95 194 0 811 0 201
normalized size 1 1. 0.81 1.66 0. 6.93 0. 1.72
time (sec) N/A 0.157 0.464 0.097 0. 0.595 0. 1.297


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 163 163 133 359 0 996 0 309
normalized size 1 1. 0.82 2.2 0. 6.11 0. 1.9
time (sec) N/A 0.245 0.937 0.098 0. 0.612 0. 1.277


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 102 102 980 151 0 950 0 177
normalized size 1 1. 9.61 1.48 0. 9.31 0. 1.74
time (sec) N/A 0.14 4.422 0.087 0. 0.708 0. 1.272


















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 88 68 0 601 0 107
normalized size 1 1. 1.19 0.92 0. 8.12 0. 1.45
time (sec) N/A 0.07 0.304 0.068 0. 0.547 0. 1.33


















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 82 80 0 676 0 127
normalized size 1 1. 0.99 0.96 0. 8.14 0. 1.53
time (sec) N/A 0.068 0.413 0.083 0. 0.559 0. 1.321


















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 101 101 945 92 0 867 0 158
normalized size 1 1. 9.36 0.91 0. 8.58 0. 1.56
time (sec) N/A 0.132 3.474 0.095 0. 0.589 0. 1.194


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 139 120 0 1077 0 205
normalized size 1 1. 1.1 0.95 0. 8.55 0. 1.63
time (sec) N/A 0.155 1.156 0.101 0. 0.651 0. 1.157


















Problem 198 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 157 157 171 158 0 1304 0 266
normalized size 1 1. 1.09 1.01 0. 8.31 0. 1.69
time (sec) N/A 0.168 2.141 0.105 0. 0.689 0. 1.186


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 100 100 248 128 0 1172 0 169
normalized size 1 1. 2.48 1.28 0. 11.72 0. 1.69
time (sec) N/A 0.135 2.584 0.069 0. 0.601 0. 1.197


















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 84 106 0 936 0 126
normalized size 1 1. 1.02 1.29 0. 11.41 0. 1.54
time (sec) N/A 0.082 0.31 0.071 0. 0.572 0. 1.389


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 211 66 0 857 0 117
normalized size 1 1. 2.89 0.9 0. 11.74 0. 1.6
time (sec) N/A 0.074 0.965 0.088 0. 0.565 0. 1.172


















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 240 127 0 1027 0 161
normalized size 1 1. 2.61 1.38 0. 11.16 0. 1.75
time (sec) N/A 0.082 1.944 0.078 0. 0.605 0. 1.222


















Problem 203 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 142 142 103 174 0 1246 0 274
normalized size 1 1. 0.73 1.23 0. 8.77 0. 1.93
time (sec) N/A 0.194 1.259 0.109 0. 0.66 0. 1.321


















Problem 204 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 203 203 138 276 0 1492 0 277
normalized size 1 1. 0.68 1.36 0. 7.35 0. 1.36
time (sec) N/A 0.29 1.589 0.106 0. 0.711 0. 1.257


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 278 278 499 442 0 1801 0 385
normalized size 1 1. 1.79 1.59 0. 6.48 0. 1.38
time (sec) N/A 0.347 4.495 0.109 0. 0.773 0. 1.287


















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 128 108 0 1053 0 165
normalized size 1 1. 1.19 1. 0. 9.75 0. 1.53
time (sec) N/A 0.099 0.534 0.074 0. 0.608 0. 1.356


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 163 124 0 1183 0 219
normalized size 1 1. 1.3 0.99 0. 9.46 0. 1.75
time (sec) N/A 0.106 0.62 0.078 0. 0.651 0. 1.301


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 144 144 2256 142 0 1331 0 250
normalized size 1 1. 15.67 0.99 0. 9.24 0. 1.74
time (sec) N/A 0.131 7.362 0.08 0. 0.66 0. 1.316


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 156 156 2382 149 0 1594 0 277
normalized size 1 1. 15.27 0.96 0. 10.22 0. 1.78
time (sec) N/A 0.194 7.524 0.107 0. 0.738 0. 1.239


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 181 181 194 177 0 1908 0 323
normalized size 1 1. 1.07 0.98 0. 10.54 0. 1.78
time (sec) N/A 0.243 4.455 0.102 0. 0.779 0. 1.297


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 214 214 2670 214 0 2271 0 383
normalized size 1 1. 12.48 1. 0. 10.61 0. 1.79
time (sec) N/A 0.258 7.618 0.118 0. 0.846 0. 1.321


















Problem 212 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 142 142 125 294 0 1597 0 261
normalized size 1 1. 0.88 2.07 0. 11.25 0. 1.84
time (sec) N/A 0.157 0.995 0.073 0. 0.697 0. 1.403


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 283 238 0 1449 0 231
normalized size 1 1. 2.3 1.93 0. 11.78 0. 1.88
time (sec) N/A 0.102 3.831 0.071 0. 0.668 0. 1.39


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 265 97 0 1319 0 176
normalized size 1 1. 2.5 0.92 0. 12.44 0. 1.66
time (sec) N/A 0.082 2.749 0.067 0. 0.645 0. 1.334


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 144 144 332 321 0 1854 0 277
normalized size 1 1. 2.31 2.23 0. 12.88 0. 1.92
time (sec) N/A 0.175 5.762 0.086 0. 0.717 0. 1.273


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 156 366 0 2188 0 323
normalized size 1 1. 0.78 1.82 0. 10.89 0. 1.61
time (sec) N/A 0.336 3.765 0.113 0. 0.785 0. 1.359


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 269 269 1430 470 0 2531 0 663
normalized size 1 1. 5.32 1.75 0. 9.41 0. 2.46
time (sec) N/A 0.377 6.573 0.126 0. 0.881 0. 1.378


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 352 352 1770 636 0 2954 0 498
normalized size 1 1. 5.03 1.81 0. 8.39 0. 1.41
time (sec) N/A 0.475 6.659 0.114 0. 1. 0. 1.36


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 204 204 1411 649 0 2967 0 437
normalized size 1 1. 6.92 3.18 0. 14.54 0. 2.14
time (sec) N/A 0.335 6.853 0.092 0. 0.883 0. 1.328


















Problem 220 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 70 167 109 244 0 293
normalized size 1 1. 0.52 1.25 0.81 1.82 0. 2.19
time (sec) N/A 0.062 2.206 0.337 1.463 0.528 0. 1.708


















Problem 221 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 101 101 60 157 84 207 0 246
normalized size 1 1. 0.59 1.55 0.83 2.05 0. 2.44
time (sec) N/A 0.051 0.554 0.304 1.516 0.511 0. 1.638


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 48 145 54 167 0 185
normalized size 1 1. 0.75 2.27 0.84 2.61 0. 2.89
time (sec) N/A 0.041 0.107 0.264 1.488 0.529 0. 1.405


















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 33 108 28 128 0 190
normalized size 1 1. 1. 3.27 0.85 3.88 0. 5.76
time (sec) N/A 0.03 0.037 0.347 1.465 0.505 0. 1.491


















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 40 75 50 135 0 0
normalized size 1 1. 1.25 2.34 1.56 4.22 0. 0.
time (sec) N/A 0.035 0.045 0.33 1.515 0.495 0. 0.


















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 57 141 81 228 0 285
normalized size 1 1. 0.85 2.1 1.21 3.4 0. 4.25
time (sec) N/A 0.042 0.136 0.24 1.483 0.504 0. 1.818


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 69 203 107 315 0 369
normalized size 1 1. 0.69 2.03 1.07 3.15 0. 3.69
time (sec) N/A 0.051 0.259 0.247 1.475 0.512 0. 1.879


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 79 265 127 406 0 383
normalized size 1 1. 0.59 1.99 0.95 3.05 0. 2.88
time (sec) N/A 0.061 0.338 0.261 1.5 0.525 0. 1.965


















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 372 471 0 6562 0 0 0 0
normalized size 1 1.27 0. 17.64 0. 0. 0. 0.
time (sec) N/A 0.688 26.686 0.766 0. 0. 0. 0.


















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 288 364 0 4737 0 0 0 0
normalized size 1 1.26 0. 16.45 0. 0. 0. 0.
time (sec) N/A 0.51 11.498 0.462 0. 0. 0. 0.


















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 218 271 0 3454 0 0 0 0
normalized size 1 1.24 0. 15.84 0. 0. 0. 0.
time (sec) N/A 0.398 11.568 0.421 0. 0. 0. 0.


















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 103 69 3408 0 0 0 0
normalized size 1 1.29 0.86 42.6 0. 0. 0. 0.
time (sec) N/A 0.15 0.29 0.447 0. 0. 0. 0.


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 246 299 539 4623 0 0 0 0
normalized size 1 1.22 2.19 18.79 0. 0. 0. 0.
time (sec) N/A 0.389 8.52 0.721 0. 0. 0. 0.


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 338 400 0 6392 0 0 0 0
normalized size 1 1.18 0. 18.91 0. 0. 0. 0.
time (sec) N/A 0.571 11.436 0.747 0. 0. 0. 0.


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 186 186 968 2518 0 1138 0 0
normalized size 1 1. 5.2 13.54 0. 6.12 0. 0.
time (sec) N/A 0.17 11.544 0.607 0. 3.429 0. 0.


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 390 1770 0 972 0 0
normalized size 1 1. 3.2 14.51 0. 7.97 0. 0.
time (sec) N/A 0.106 8.257 0.387 0. 1.121 0. 0.


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 210 1098 0 813 0 0
normalized size 1 1. 2.76 14.45 0. 10.7 0. 0.
time (sec) N/A 0.081 1.666 0.304 0. 0.704 0. 0.


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F(-2) B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 79 79 0 589 0 2984 0 0
normalized size 1 1. 0. 7.46 0. 37.77 0. 0.
time (sec) N/A 0.049 0.089 0.453 0. 1.193 0. 0.


















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 136 1066 0 1210 0 112
normalized size 1 1. 1.66 13. 0. 14.76 0. 1.37
time (sec) N/A 0.092 0.713 0.315 0. 0.879 0. 1.429


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 152 1713 0 1355 0 166
normalized size 1 1. 1.09 12.24 0. 9.68 0. 1.19
time (sec) N/A 0.123 1.281 0.39 0. 1.514 0. 1.395


















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 196 196 1902 2436 0 1527 0 0
normalized size 1 1. 9.7 12.43 0. 7.79 0. 0.
time (sec) N/A 0.206 16.624 0.563 0. 3.946 0. 0.


















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 450 572 0 8000 0 0 0 0
normalized size 1 1.27 0. 17.78 0. 0. 0. 0.
time (sec) N/A 0.894 10.349 1.169 0. 0. 0. 0.


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 371 470 0 6562 0 0 0 0
normalized size 1 1.27 0. 17.69 0. 0. 0. 0.
time (sec) N/A 0.7 16.413 0.654 0. 0. 0. 0.


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 290 366 0 5185 0 0 0 0
normalized size 1 1.26 0. 17.88 0. 0. 0. 0.
time (sec) N/A 0.529 11.594 0.406 0. 0. 0. 0.


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 224 277 0 3632 0 0 0 0
normalized size 1 1.24 0. 16.21 0. 0. 0. 0.
time (sec) N/A 0.3 12.611 0.348 0. 0. 0. 0.


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 241 294 179 5069 0 0 0 0
normalized size 1 1.22 0.74 21.03 0. 0. 0. 0.
time (sec) N/A 0.421 1.962 0.439 0. 0. 0. 0.


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 319 395 350 6396 0 0 0 0
normalized size 1 1.24 1.1 20.05 0. 0. 0. 0.
time (sec) N/A 0.641 9.316 0.623 0. 0. 0. 0.


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 243 243 512 3343 0 1381 0 0
normalized size 1 1. 2.11 13.76 0. 5.68 0. 0.
time (sec) N/A 0.223 11.049 0.836 0. 13.317 0. 0.


















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 400 2519 0 1154 0 0
normalized size 1 1. 2.42 15.27 0. 6.99 0. 0.
time (sec) N/A 0.131 9.385 0.502 0. 3.453 0. 0.


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 84 1768 0 969 0 0
normalized size 1 1. 0.76 15.93 0. 8.73 0. 0.
time (sec) N/A 0.102 0.326 0.344 0. 1.122 0. 0.


















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 527 1557 0 3602 0 0
normalized size 1 1. 4.47 13.19 0. 30.53 0. 0.
time (sec) N/A 0.092 2.054 0.293 0. 1.778 0. 0.


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 466 1511 0 3456 0 0
normalized size 1 1. 3.76 12.19 0. 27.87 0. 0.
time (sec) N/A 0.136 7.032 0.306 0. 1.74 0. 0.


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 191 1713 0 1357 0 0
normalized size 1 1. 1.53 13.7 0. 10.86 0. 0.
time (sec) N/A 0.12 1.03 0.347 0. 1.524 0. 0.


















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 193 193 165 2439 0 1539 0 0
normalized size 1 1. 0.85 12.64 0. 7.97 0. 0.
time (sec) N/A 0.162 1.845 0.49 0. 4.041 0. 0.


















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 166 166 706 2231 0 3947 0 0
normalized size 1 1. 4.25 13.44 0. 23.78 0. 0.
time (sec) N/A 0.172 9.732 0.622 0. 4.28 0. 0.


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 109 429 0 536 0 0
normalized size 1 1. 2.6 10.21 0. 12.76 0. 0.
time (sec) N/A 0.037 0.173 0.296 0. 0.542 0. 0.


















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 57 190 0 444 0 0
normalized size 1 1. 2.38 7.92 0. 18.5 0. 0.
time (sec) N/A 0.019 0.05 0.299 0. 0.527 0. 0.


















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 330 380 0 4753 0 0 0 0
normalized size 1 1.15 0. 14.4 0. 0. 0. 0.
time (sec) N/A 0.572 11.905 0.564 0. 0. 0. 0.


















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 170 202 0 3033 0 0 0 0
normalized size 1 1.19 0. 17.84 0. 0. 0. 0.
time (sec) N/A 0.371 10.679 0.405 0. 0. 0. 0.


















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 103 69 269 0 0 0 0
normalized size 1 1.29 0.86 3.36 0. 0. 0. 0.
time (sec) N/A 0.272 0.224 0.399 0. 0. 0. 0.


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 128 279 2985 0 0 0 0
normalized size 1 1.22 2.66 28.43 0. 0. 0. 0.
time (sec) N/A 0.166 5.276 0.424 0. 0. 0. 0.


















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 255 296 0 4640 0 0 0 0
normalized size 1 1.16 0. 18.2 0. 0. 0. 0.
time (sec) N/A 0.407 7.365 0.534 0. 0. 0. 0.


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 345 395 0 6382 0 0 0 0
normalized size 1 1.14 0. 18.5 0. 0. 0. 0.
time (sec) N/A 0.574 12.874 0.744 0. 0. 0. 0.


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 326 1756 0 975 0 0
normalized size 1 1. 2.38 12.82 0. 7.12 0. 0.
time (sec) N/A 0.135 9.035 0.474 0. 1.273 0. 0.


















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 81 81 326 1086 0 821 0 0
normalized size 1 1. 4.02 13.41 0. 10.14 0. 0.
time (sec) N/A 0.091 10.167 0.382 0. 0.774 0. 0.


















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 87 379 0 543 0 0
normalized size 1 1. 2.23 9.72 0. 13.92 0. 0.
time (sec) N/A 0.071 0.147 0.411 0. 0.655 0. 0.


















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 87 380 0 976 0 0
normalized size 1 1. 2.23 9.74 0. 25.03 0. 0.
time (sec) N/A 0.03 0.083 0.407 0. 0.792 0. 0.


















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 126 1056 0 1215 0 0
normalized size 1 1. 1.45 12.14 0. 13.97 0. 0.
time (sec) N/A 0.099 0.257 0.379 0. 0.895 0. 0.


















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F A F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 143 143 1840 1701 0 1362 0 0
normalized size 1 1. 12.87 11.9 0. 9.52 0. 0.
time (sec) N/A 0.142 16.349 0.455 0. 1.508 0. 0.


















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 204 204 1739 2425 0 1539 0 0
normalized size 1 1. 8.52 11.89 0. 7.54 0. 0.
time (sec) N/A 0.207 16.618 0.587 0. 3.864 0. 0.


















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 289 367 0 12514 0 0 0 0
normalized size 1 1.27 0. 43.3 0. 0. 0. 0.
time (sec) N/A 0.59 20.178 0.65 0. 0. 0. 0.


















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 182 113 6593 0 0 0 0
normalized size 1 1.21 0.75 43.95 0. 0. 0. 0.
time (sec) N/A 0.384 2.416 0.49 0. 0. 0. 0.


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 229 284 822 6593 0 0 0 0
normalized size 1 1.24 3.59 28.79 0. 0. 0. 0.
time (sec) N/A 0.448 9.489 0.5 0. 0. 0. 0.


















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 240 295 0 8684 0 0 0 0
normalized size 1 1.23 0. 36.18 0. 0. 0. 0.
time (sec) N/A 0.337 14.268 0.508 0. 0. 0. 0.


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 335 399 0 11939 0 0 0 0
normalized size 1 1.19 0. 35.64 0. 0. 0. 0.
time (sec) N/A 0.561 16.006 0.542 0. 0. 0. 0.


















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 436 509 0 15199 0 0 0 0
normalized size 1 1.17 0. 34.86 0. 0. 0. 0.
time (sec) N/A 0.751 16.267 0.92 0. 0. 0. 0.


















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 336 4338 0 1245 0 0
normalized size 1 1. 2.43 31.43 0. 9.02 0. 0.
time (sec) N/A 0.146 15.07 0.435 0. 1.435 0. 0.


















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 77 77 405 3068 0 1007 0 0
normalized size 1 1. 5.26 39.84 0. 13.08 0. 0.
time (sec) N/A 0.097 7.108 0.472 0. 0.806 0. 0.


















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 57 59 41 159 0 157
normalized size 1 1. 1.78 1.84 1.28 4.97 0. 4.91
time (sec) N/A 0.075 0.656 0.23 1.078 0.56 0. 1.949


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 168 1007 0 1438 0 0
normalized size 1 1. 2.18 13.08 0. 18.68 0. 0.
time (sec) N/A 0.049 1.463 0.401 0. 1.055 0. 0.


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 131 131 2059 1646 0 1640 0 0
normalized size 1 1. 15.72 12.56 0. 12.52 0. 0.
time (sec) N/A 0.155 15.463 0.342 0. 1.939 0. 0.


















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 194 194 2046 2372 0 1875 0 0
normalized size 1 1. 10.55 12.23 0. 9.66 0. 0.
time (sec) N/A 0.226 16.921 0.461 0. 5.064 0. 0.


















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 271 271 2068 3171 0 2190 0 0
normalized size 1 1. 7.63 11.7 0. 8.08 0. 0.
time (sec) N/A 0.315 20.251 0.666 0. 14.906 0. 0.


















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 321 383 167 14357 0 0 0 0
normalized size 1 1.19 0.52 44.73 0. 0. 0. 0.
time (sec) N/A 0.637 2.82 0.614 0. 0. 0. 0.


















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 319 381 1156 10271 0 0 0 0
normalized size 1 1.19 3.62 32.2 0. 0. 0. 0.
time (sec) N/A 0.565 10.283 0.604 0. 0. 0. 0.


















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 327 389 0 14353 0 0 0 0
normalized size 1 1.19 0. 43.89 0. 0. 0. 0.
time (sec) N/A 0.579 12.991 0.612 0. 0. 0. 0.


















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 349 411 0 17494 0 0 0 0
normalized size 1 1.18 0. 50.13 0. 0. 0. 0.
time (sec) N/A 0.488 16.156 0.899 0. 0. 0. 0.


















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 441 512 0 20922 0 0 0 0
normalized size 1 1.16 0. 47.44 0. 0. 0. 0.
time (sec) N/A 0.731 13.261 1.43 0. 0. 0. 0.


















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 559 639 0 26983 0 0 0 0
normalized size 1 1.14 0. 48.27 0. 0. 0. 0.
time (sec) N/A 0.906 23.448 2.248 0. 0. 0. 0.


















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 133 133 607 3010 0 1586 0 0
normalized size 1 1. 4.56 22.63 0. 11.92 0. 0.
time (sec) N/A 0.139 10.07 0.469 0. 1.46 0. 0.


















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 74 76 158 313 0 560
normalized size 1 1. 0.94 0.96 2. 3.96 0. 7.09
time (sec) N/A 0.093 4.55 0.304 1.183 0.843 0. 2.405


















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 215 85 82 313 0 562
normalized size 1 1. 3.03 1.2 1.15 4.41 0. 7.92
time (sec) N/A 0.09 6.134 0.266 1.206 0.912 0. 2.441


















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 125 125 1927 3016 0 2021 0 0
normalized size 1 1. 15.42 24.13 0. 16.17 0. 0.
time (sec) N/A 0.102 6.517 0.4 0. 2.326 0. 0.


















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 187 187 1775 4270 0 2330 0 0
normalized size 1 1. 9.49 22.83 0. 12.46 0. 0.
time (sec) N/A 0.243 17.54 0.646 0. 6.162 0. 0.


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 261 261 1777 5600 0 2708 0 0
normalized size 1 1. 6.81 21.46 0. 10.38 0. 0.
time (sec) N/A 0.338 21.007 0.93 0. 18.104 0. 0.


















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 332 332 1776 6934 0 3035 0 0
normalized size 1 1. 5.35 20.89 0. 9.14 0. 0.
time (sec) N/A 0.429 24.717 1.471 0. 49.999 0. 0.


















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 179 179 1777 6116 0 2795 0 0
normalized size 1 1. 9.93 34.17 0. 15.61 0. 0.
time (sec) N/A 0.194 18.758 0.862 0. 7.403 0. 0.


















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C B B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 37 142 524 177 0 0
normalized size 1 1. 2.64 10.14 37.43 12.64 0. 0.
time (sec) N/A 0.02 0.025 0.227 1.785 0.509 0. 0.


















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A F B F F F F(-1) F
verified N/A N/A NO TBD TBD TBD TBD TBD
size 111 0 2195 0 0 0 0 0
normalized size 1 0. 19.77 0. 0. 0. 0. 0.
time (sec) N/A 0.047 18.431 1.051 0. 0. 0. 0.


















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 103 124 1989 0 0 0 0 0
normalized size 1 1.2 19.31 0. 0. 0. 0. 0.
time (sec) N/A 0.223 17.397 0.374 0. 0. 0. 0.


















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 103 124 1995 0 0 0 0 0
normalized size 1 1.2 19.37 0. 0. 0. 0. 0.
time (sec) N/A 0.174 16.826 0.395 0. 0. 0. 0.


















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 101 122 1983 0 0 0 0 0
normalized size 1 1.21 19.63 0. 0. 0. 0. 0.
time (sec) N/A 0.121 16.778 0.512 0. 0. 0. 0.


















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 103 124 1987 0 0 0 0 0
normalized size 1 1.2 19.29 0. 0. 0. 0. 0.
time (sec) N/A 0.161 17.139 1.056 0. 0. 0. 0.


















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 103 124 1997 0 0 0 0 0
normalized size 1 1.2 19.39 0. 0. 0. 0. 0.
time (sec) N/A 0.181 17.587 0.939 0. 0. 0. 0.


















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 216 216 149 0 0 0 0 0
normalized size 1 1. 0.69 0. 0. 0. 0. 0.
time (sec) N/A 0.226 2.054 0.503 0. 0. 0. 0.


















Problem 305 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 129 129 126 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.099 2.262 0.426 0. 0. 0. 0.


















Problem 306 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 72 72 71 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.064 1.039 0.356 0. 0. 0. 0.


















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 83 83 2137 0 0 0 0 0
normalized size 1 1. 25.75 0. 0. 0. 0. 0.
time (sec) N/A 0.062 6.266 0.007 0. 0. 0. 0.


















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 83 83 1914 0 0 0 0 0
normalized size 1 1. 23.06 0. 0. 0. 0. 0.
time (sec) N/A 0.082 15.868 0.663 0. 0. 0. 0.


















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 83 83 1912 0 0 0 0 0
normalized size 1 1. 23.04 0. 0. 0. 0. 0.
time (sec) N/A 0.081 16.402 0.73 0. 0. 0. 0.


















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 83 83 1914 0 0 0 0 0
normalized size 1 1. 23.06 0. 0. 0. 0. 0.
time (sec) N/A 0.08 17.258 0.758 0. 0. 0. 0.


















Problem 311 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 72 72 55 65 128 177 116 408
normalized size 1 1. 0.76 0.9 1.78 2.46 1.61 5.67
time (sec) N/A 0.062 0.177 0.051 1. 0.541 8.289 3.222


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 43 50 86 128 80 343
normalized size 1 1. 0.88 1.02 1.76 2.61 1.63 7.
time (sec) N/A 0.049 0.08 0.048 1.033 0.526 2.352 1.833


















Problem 313 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 30 30 30 28 45 93 42 275
normalized size 1 1. 1. 0.93 1.5 3.1 1.4 9.17
time (sec) N/A 0.024 0.019 0.018 0.996 0.533 0.621 1.423


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 44 26 45 99 0 140
normalized size 1 1. 1.57 0.93 1.61 3.54 0. 5.
time (sec) N/A 0.047 0.031 0.046 1.02 0.525 0. 1.456


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 52 43 39 116 0 204
normalized size 1 1. 1.62 1.34 1.22 3.62 0. 6.38
time (sec) N/A 0.051 0.165 0.054 0.992 0.529 0. 1.418


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 64 64 66 215 0 339
normalized size 1 1. 1.25 1.25 1.29 4.22 0. 6.65
time (sec) N/A 0.071 0.175 0.051 0.988 0.552 0. 1.493


















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 64 64 73 61 76 231 66 82
normalized size 1 1. 1.14 0.95 1.19 3.61 1.03 1.28
time (sec) N/A 0.062 0.028 0.052 1.492 0.518 7.26 4.795


















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 48 48 57 50 61 177 54 66
normalized size 1 1. 1.19 1.04 1.27 3.69 1.12 1.38
time (sec) N/A 0.057 0.021 0.048 1.475 0.496 2.997 2.26


















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 32 32 41 41 45 130 42 49
normalized size 1 1. 1.28 1.28 1.41 4.06 1.31 1.53
time (sec) N/A 0.052 0.015 0.04 1.475 0.486 1.663 1.604


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 16 20 76 0 22
normalized size 1 1. 1. 1.07 1.33 5.07 0. 1.47
time (sec) N/A 0.013 0.003 0.015 0.999 0.474 0. 1.267


















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 43 33 34 85 0 77
normalized size 1 1. 2.26 1.74 1.79 4.47 0. 4.05
time (sec) N/A 0.054 0.03 0.043 1.475 0.482 0. 1.289


















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 51 48 55 185 0 161
normalized size 1 1. 1.55 1.45 1.67 5.61 0. 4.88
time (sec) N/A 0.059 0.022 0.048 1.514 0.478 0. 1.264


















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 51 63 70 286 0 246
normalized size 1 1. 1. 1.24 1.37 5.61 0. 4.82
time (sec) N/A 0.063 0.03 0.051 1.567 0.492 0. 1.466


















Problem 324 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 100 100 126 120 198 242 190 628
normalized size 1 1. 1.26 1.2 1.98 2.42 1.9 6.28
time (sec) N/A 0.101 0.481 0.061 1.056 0.561 21.833 3.196


















Problem 325 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 77 77 107 103 154 192 128 560
normalized size 1 1. 1.39 1.34 2. 2.49 1.66 7.27
time (sec) N/A 0.084 0.277 0.056 1.009 0.542 7.923 1.856


















Problem 326 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 48 48 82 46 90 130 61 486
normalized size 1 1. 1.71 0.96 1.88 2.71 1.27 10.12
time (sec) N/A 0.042 0.122 0.022 0.981 0.531 2.198 1.37


















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 84 60 86 203 0 358
normalized size 1 1. 1.58 1.13 1.62 3.83 0. 6.75
time (sec) N/A 0.074 0.227 0.057 0.984 0.536 0. 1.395


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 81 78 81 231 0 339
normalized size 1 1. 1.42 1.37 1.42 4.05 0. 5.95
time (sec) N/A 0.081 0.181 0.063 0.983 0.528 0. 1.402


















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 77 87 82 242 0 474
normalized size 1 1. 1.51 1.71 1.61 4.75 0. 9.29
time (sec) N/A 0.087 0.261 0.06 1.066 0.521 0. 1.399


















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 275 105 113 342 0 132
normalized size 1 1. 2.89 1.11 1.19 3.6 0. 1.39
time (sec) N/A 0.108 2.123 0.07 1.593 0.548 0. 4.323


















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 395 94 96 273 0 113
normalized size 1 1. 5.13 1.22 1.25 3.55 0. 1.47
time (sec) N/A 0.097 1.146 0.054 1.462 0.521 0. 2.464


















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 281 85 78 205 0 95
normalized size 1 1. 4.76 1.44 1.32 3.47 0. 1.61
time (sec) N/A 0.093 0.817 0.05 1.497 0.504 0. 1.482


















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 106 48 59 142 0 72
normalized size 1 1. 2.65 1.2 1.48 3.55 0. 1.8
time (sec) N/A 0.029 0.373 0.031 1.002 0.482 0. 1.278


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 82 66 62 153 0 66
normalized size 1 1. 2.28 1.83 1.72 4.25 0. 1.83
time (sec) N/A 0.08 0.692 0.049 1.476 0.488 0. 1.29


















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 160 73 80 220 0 252
normalized size 1 1. 3.56 1.62 1.78 4.89 0. 5.6
time (sec) N/A 0.087 0.831 0.053 1.51 0.492 0. 1.351


















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 256 107 97 328 0 392
normalized size 1 1. 3.94 1.65 1.49 5.05 0. 6.03
time (sec) N/A 0.093 1.061 0.059 1.472 0.499 0. 1.505


















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 99 112 109 205 0 539
normalized size 1 1. 1.43 1.62 1.58 2.97 0. 7.81
time (sec) N/A 0.1 0.293 0.061 1.016 0.698 0. 3.149


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 41 59 68 100 0 319
normalized size 1 1. 0.91 1.31 1.51 2.22 0. 7.09
time (sec) N/A 0.077 0.114 0.058 1.025 0.597 0. 1.661


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 26 37 35 51 128 186
normalized size 1 1. 1.13 1.61 1.52 2.22 5.57 8.09
time (sec) N/A 0.031 0.173 0.025 1.089 0.508 15.82 1.391


















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 43 73 68 107 0 235
normalized size 1 1. 0.93 1.59 1.48 2.33 0. 5.11
time (sec) N/A 0.08 0.105 0.078 0.981 0.663 0. 1.36


















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 100 158 117 289 0 419
normalized size 1 1. 1.35 2.14 1.58 3.91 0. 5.66
time (sec) N/A 0.11 0.235 0.087 1.006 0.868 0. 1.405


















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 138 293 196 610 0 733
normalized size 1 1. 1.28 2.71 1.81 5.65 0. 6.79
time (sec) N/A 0.148 0.654 0.089 0.995 1.321 0. 1.428


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 229 186 0 890 0 178
normalized size 1 1. 2.76 2.24 0. 10.72 0. 2.14
time (sec) N/A 0.273 3.003 0.085 0. 0.596 0. 4.814


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 206 121 0 720 0 123
normalized size 1 1. 3.49 2.05 0. 12.2 0. 2.08
time (sec) N/A 0.167 1.148 0.074 0. 0.574 0. 2.233


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 184 75 0 533 0 93
normalized size 1 1. 4. 1.63 0. 11.59 0. 2.02
time (sec) N/A 0.126 0.309 0.081 0. 0.553 0. 1.489


















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 182 48 0 544 0 92
normalized size 1 1. 4.04 1.07 0. 12.09 0. 2.04
time (sec) N/A 0.045 0.26 0.069 0. 0.566 0. 1.389


















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 204 73 0 757 0 123
normalized size 1 1. 3.29 1.18 0. 12.21 0. 1.98
time (sec) N/A 0.174 1.354 0.086 0. 0.574 0. 1.39


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 390 110 0 1261 0 189
normalized size 1 1. 4.53 1.28 0. 14.66 0. 2.2
time (sec) N/A 0.248 3.707 0.099 0. 0.621 0. 1.436


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 671 173 0 1972 0 300
normalized size 1 1. 5.59 1.44 0. 16.43 0. 2.5
time (sec) N/A 0.344 2.93 0.112 0. 0.684 0. 1.472


















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 109 126 132 262 0 770
normalized size 1 1. 1.42 1.64 1.71 3.4 0. 10.
time (sec) N/A 0.106 0.455 0.087 1.014 0.744 0. 3.307


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 81 68 80 131 0 458
normalized size 1 1. 1.59 1.33 1.57 2.57 0. 8.98
time (sec) N/A 0.082 0.732 0.079 0.994 0.524 0. 1.869


















Problem 352 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 49 49 79 59 77 127 0 558
normalized size 1 1. 1.61 1.2 1.57 2.59 0. 11.39
time (sec) N/A 0.056 0.506 0.036 0.994 0.524 0. 1.362


















Problem 353 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 83 83 112 155 158 313 0 567
normalized size 1 1. 1.35 1.87 1.9 3.77 0. 6.83
time (sec) N/A 0.114 0.362 0.092 1.006 0.996 0. 2.078


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 130 240 259 664 0 1165
normalized size 1 1. 1.17 2.16 2.33 5.98 0. 10.5
time (sec) N/A 0.157 1.338 0.109 1.021 1.535 0. 1.943


















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 162 374 377 1196 0 1305
normalized size 1 1. 1.16 2.67 2.69 8.54 0. 9.32
time (sec) N/A 0.197 2.004 0.126 1.011 2.697 0. 1.57


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 286 242 0 1197 0 220
normalized size 1 1. 2.4 2.03 0. 10.06 0. 1.85
time (sec) N/A 0.267 4.873 0.09 0. 0.637 0. 3.982


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 249 168 0 933 0 170
normalized size 1 1. 2.77 1.87 0. 10.37 0. 1.89
time (sec) N/A 0.176 2.983 0.096 0. 0.609 0. 2.253


















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 85 85 346 108 0 1052 0 134
normalized size 1 1. 4.07 1.27 0. 12.38 0. 1.58
time (sec) N/A 0.156 7.709 0.096 0. 0.597 0. 1.588


















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 240 127 0 1027 0 161
normalized size 1 1. 2.61 1.38 0. 11.16 0. 1.75
time (sec) N/A 0.085 1.954 0.08 0. 0.622 0. 1.264


















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 121 121 288 149 0 1384 0 247
normalized size 1 1. 2.38 1.23 0. 11.44 0. 2.04
time (sec) N/A 0.254 3.929 0.104 0. 0.724 0. 1.375


















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 160 160 1896 186 0 2182 0 297
normalized size 1 1. 11.85 1.16 0. 13.64 0. 1.86
time (sec) N/A 0.354 6.932 0.118 0. 0.76 0. 1.361


















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 207 207 3028 248 0 3366 0 419
normalized size 1 1. 14.63 1.2 0. 16.26 0. 2.02
time (sec) N/A 0.437 7.328 0.125 0. 0.848 0. 1.464


















Problem 363 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 78 78 136 138 151 271 0 772
normalized size 1 1. 1.74 1.77 1.94 3.47 0. 9.9
time (sec) N/A 0.108 2.194 0.089 1.02 0.575 0. 2.915


















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 131 115 153 262 0 952
normalized size 1 1. 1.62 1.42 1.89 3.23 0. 11.75
time (sec) N/A 0.112 0.936 0.083 0.996 0.571 0. 1.994


















Problem 365 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 74 74 129 81 138 242 0 1133
normalized size 1 1. 1.74 1.09 1.86 3.27 0. 15.31
time (sec) N/A 0.074 1.509 0.038 0.993 0.573 0. 1.797


















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 158 304 328 670 0 1100
normalized size 1 1. 1.22 2.34 2.52 5.15 0. 8.46
time (sec) N/A 0.165 1.098 0.102 1.014 1.922 0. 1.532


















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 176 389 464 1234 0 1530
normalized size 1 1. 1.14 2.53 3.01 8.01 0. 9.94
time (sec) N/A 0.209 1.934 0.115 1.04 3.34 0. 1.601


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 192 192 208 522 613 1867 0 2751
normalized size 1 1. 1.08 2.72 3.19 9.72 0. 14.33
time (sec) N/A 0.269 5.422 0.126 1.052 5.708 0. 1.645


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 760 356 0 1519 0 285
normalized size 1 1. 5.17 2.42 0. 10.33 0. 1.94
time (sec) N/A 0.292 6.524 0.106 0. 0.678 0. 4.879


















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 137 137 1473 264 0 1686 0 227
normalized size 1 1. 10.75 1.93 0. 12.31 0. 1.66
time (sec) N/A 0.257 15.037 0.099 0. 0.706 0. 2.278


















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 138 138 1473 263 0 1910 0 244
normalized size 1 1. 10.67 1.91 0. 13.84 0. 1.77
time (sec) N/A 0.227 13.228 0.096 0. 0.713 0. 1.645


















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 144 144 332 321 0 1854 0 277
normalized size 1 1. 2.31 2.23 0. 12.88 0. 1.92
time (sec) N/A 0.178 5.826 0.089 0. 0.723 0. 1.42


















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 181 181 2089 337 0 2372 0 347
normalized size 1 1. 11.54 1.86 0. 13.1 0. 1.92
time (sec) N/A 0.38 6.999 0.113 0. 0.811 0. 1.447


















Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 230 230 3340 374 0 3640 0 424
normalized size 1 1. 14.52 1.63 0. 15.83 0. 1.84
time (sec) N/A 0.461 7.619 0.122 0. 0.949 0. 1.443


















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 285 285 976 437 0 5045 0 545
normalized size 1 1. 3.42 1.53 0. 17.7 0. 1.91
time (sec) N/A 0.607 8.21 0.131 0. 1.109 0. 1.64


















Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 111 111 0 924 0 1123 0 0
normalized size 1 1. 0. 8.32 0. 10.12 0. 0.
time (sec) N/A 0.141 2.418 0.439 0. 6.68 0. 0.


















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 80 80 0 648 0 969 0 0
normalized size 1 1. 0. 8.1 0. 12.11 0. 0.
time (sec) N/A 0.105 1.073 0.36 0. 1.888 0. 0.


















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A F B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 119 61 0 779 0 537
normalized size 1 1. 2.2 1.13 0. 14.43 0. 9.94
time (sec) N/A 0.065 0.486 0.079 0. 0.835 0. 1.501


















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-2) B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 70 70 0 570 0 2398 0 0
normalized size 1 1. 0. 8.14 0. 34.26 0. 0.
time (sec) N/A 0.11 1.798 0.408 0. 1.096 0. 0.


















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 109 109 527 2528 0 3353 0 0
normalized size 1 1. 4.83 23.19 0. 30.76 0. 0.
time (sec) N/A 0.149 6.139 0.454 0. 1.686 0. 0.


















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F B F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 161 161 0 7346 0 4782 0 0
normalized size 1 1. 0. 45.63 0. 29.7 0. 0.
time (sec) N/A 0.229 5.319 0.447 0. 4.825 0. 0.


















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 263 2756 0 4315 0 0
normalized size 1 1. 1.2 12.58 0. 19.7 0. 0.
time (sec) N/A 0.436 3.77 0.612 0. 14.227 0. 0.


















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 208 2005 0 3947 0 0
normalized size 1 1. 1.26 12.15 0. 23.92 0. 0.
time (sec) N/A 0.314 2.817 0.447 0. 4.309 0. 0.


















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 526 1331 0 3605 0 0
normalized size 1 1. 4.46 11.28 0. 30.55 0. 0.
time (sec) N/A 0.223 4.517 0.345 0. 1.759 0. 0.


















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F(-2) B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 79 79 0 588 0 2984 0 0
normalized size 1 1. 0. 7.44 0. 37.77 0. 0.
time (sec) N/A 0.051 0.095 0.429 0. 1.172 0. 0.


















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 130 1004 0 1211 0 0
normalized size 1 1. 1.88 14.55 0. 17.55 0. 0.
time (sec) N/A 0.179 0.634 0.495 0. 0.946 0. 0.


















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 176 3855 0 1526 0 0
normalized size 1 1. 1.54 33.82 0. 13.39 0. 0.
time (sec) N/A 0.25 0.792 0.416 0. 2.209 0. 0.


















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 167 167 178 8605 0 2071 0 0
normalized size 1 1. 1.07 51.53 0. 12.4 0. 0.
time (sec) N/A 0.333 1.77 0.556 0. 7.952 0. 0.


















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F B F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 135 135 0 2606 0 1289 0 0
normalized size 1 1. 0. 19.3 0. 9.55 0. 0.
time (sec) N/A 0.164 3.204 0.5 0. 24.082 0. 0.


















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F B F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 104 104 0 2150 0 1095 0 0
normalized size 1 1. 0. 20.67 0. 10.53 0. 0.
time (sec) N/A 0.127 2.055 0.407 0. 6.626 0. 0.


















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 84 81 0 944 0 0
normalized size 1 1. 1.08 1.04 0. 12.1 0. 0.
time (sec) N/A 0.082 0.279 0.056 0. 1.86 0. 0.


















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 91 91 506 2424 0 2700 0 0
normalized size 1 1. 5.56 26.64 0. 29.67 0. 0.
time (sec) N/A 0.136 5.687 0.339 0. 1.832 0. 0.


















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 114 114 622 1609 0 3213 0 0
normalized size 1 1. 5.46 14.11 0. 28.18 0. 0.
time (sec) N/A 0.17 5.844 0.458 0. 1.941 0. 0.


















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 159 159 684 4955 0 4382 0 0
normalized size 1 1. 4.3 31.16 0. 27.56 0. 0.
time (sec) N/A 0.243 6.067 0.456 0. 5.703 0. 0.


















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 290 290 353 3583 0 4788 0 0
normalized size 1 1. 1.22 12.36 0. 16.51 0. 0.
time (sec) N/A 0.571 6.58 0.89 0. 46.795 0. 0.


















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 214 214 258 2757 0 4290 0 0
normalized size 1 1. 1.21 12.88 0. 20.05 0. 0.
time (sec) N/A 0.478 4.33 0.578 0. 14.48 0. 0.


















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 166 703 2002 0 3929 0 0
normalized size 1 1. 4.23 12.06 0. 23.67 0. 0.
time (sec) N/A 0.365 6.587 0.402 0. 4.391 0. 0.


















Problem 398 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 527 1557 0 3602 0 0
normalized size 1 1. 4.47 13.19 0. 30.53 0. 0.
time (sec) N/A 0.096 1.988 0.313 0. 1.784 0. 0.


















Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 410 1952 0 3586 0 0
normalized size 1 1. 3.69 17.59 0. 32.31 0. 0.
time (sec) N/A 0.228 6.643 0.534 0. 2.027 0. 0.


















Problem 400 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 100 2015 0 1428 0 0
normalized size 1 1. 0.89 17.99 0. 12.75 0. 0.
time (sec) N/A 0.275 0.356 0.351 0. 2.665 0. 0.


















Problem 401 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 165 139 5850 0 1882 0 0
normalized size 1 1. 0.84 35.45 0. 11.41 0. 0.
time (sec) N/A 0.355 1.505 0.494 0. 10.344 0. 0.


















Problem 402 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-1) B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 89 89 0 358 0 1006 0 0
normalized size 1 1. 0. 4.02 0. 11.3 0. 0.
time (sec) N/A 0.133 2.122 0.44 0. 2.079 0. 0.


















Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F B F B
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 56 56 0 303 0 807 0 541
normalized size 1 1. 0. 5.41 0. 14.41 0. 9.66
time (sec) N/A 0.095 1.656 0.389 0. 0.902 0. 2.511


















Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F A F B F B
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 33 33 0 42 0 652 0 167
normalized size 1 1. 0. 1.27 0. 19.76 0. 5.06
time (sec) N/A 0.055 0.123 0.072 0. 0.684 0. 1.85


















Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 70 70 0 376 0 2527 0 0
normalized size 1 1. 0. 5.37 0. 36.1 0. 0.
time (sec) N/A 0.106 2.356 0.407 0. 1.172 0. 0.


















Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 116 116 0 4245 0 3742 0 0
normalized size 1 1. 0. 36.59 0. 32.26 0. 0.
time (sec) N/A 0.164 5.029 0.48 0. 1.959 0. 0.


















Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-1) B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 166 166 0 10441 0 5370 0 0
normalized size 1 1. 0. 62.9 0. 32.35 0. 0.
time (sec) N/A 0.244 8.485 0.564 0. 4.974 0. 0.


















Problem 408 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 173 173 230 1993 0 4045 0 0
normalized size 1 1. 1.33 11.52 0. 23.38 0. 0.
time (sec) N/A 0.319 5.213 0.504 0. 4.891 0. 0.


















Problem 409 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 196 1320 0 3686 0 0
normalized size 1 1. 1.63 11. 0. 30.72 0. 0.
time (sec) N/A 0.23 3.297 0.41 0. 2.062 0. 0.


















Problem 410 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F C F B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 80 80 0 404 0 3036 0 0
normalized size 1 1. 0. 5.05 0. 37.95 0. 0.
time (sec) N/A 0.197 2.979 0.435 0. 1.31 0. 0.


















Problem 411 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 87 380 0 976 0 0
normalized size 1 1. 2.23 9.74 0. 25.03 0. 0.
time (sec) N/A 0.029 0.122 0.418 0. 0.767 0. 0.


















Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 127 1865 0 1272 0 0
normalized size 1 1. 1.72 25.2 0. 17.19 0. 0.
time (sec) N/A 0.192 0.231 0.518 0. 0.978 0. 0.


















Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 168 5619 0 1705 0 0
normalized size 1 1. 1.41 47.22 0. 14.33 0. 0.
time (sec) N/A 0.249 1.956 0.489 0. 2.076 0. 0.


















Problem 414 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 199 11267 0 2334 0 0
normalized size 1 1. 1.16 65.51 0. 13.57 0. 0.
time (sec) N/A 0.345 4.593 0.641 0. 6.611 0. 0.


















Problem 415 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-1) B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 88 88 0 6593 0 1095 0 0
normalized size 1 1. 0. 74.92 0. 12.44 0. 0.
time (sec) N/A 0.151 5.264 0.529 0. 2.832 0. 0.


















Problem 416 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 63 63 187 2371 0 1022 0 0
normalized size 1 1. 2.97 37.63 0. 16.22 0. 0.
time (sec) N/A 0.116 4.269 0.372 0. 1.034 0. 0.


















Problem 417 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 382 64 0 971 53 336
normalized size 1 1. 6.7 1.12 0. 17.04 0.93 5.89
time (sec) N/A 0.072 7.16 0.056 0. 0.952 11.073 2.071


















Problem 418 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 100 100 0 9693 0 3750 0 0
normalized size 1 1. 0. 96.93 0. 37.5 0. 0.
time (sec) N/A 0.147 6.818 0.512 0. 2.166 0. 0.


















Problem 419 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-1) B F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 153 153 0 19968 0 5342 0 0
normalized size 1 1. 0. 130.51 0. 34.92 0. 0.
time (sec) N/A 0.242 10.772 0.967 0. 5.62 0. 0.


















Problem 420 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-1) B F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 213 213 0 32565 0 7887 0 0
normalized size 1 1. 0. 152.89 0. 37.03 0. 0.
time (sec) N/A 0.334 14.271 1.522 0. 17.283 0. 0.


















Problem 421 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 247 3860 0 4514 0 0
normalized size 1 1. 1.44 22.44 0. 26.24 0. 0.
time (sec) N/A 0.349 10.061 0.433 0. 6.322 0. 0.


















Problem 422 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 201 2662 0 3985 0 0
normalized size 1 1. 1.73 22.95 0. 34.35 0. 0.
time (sec) N/A 0.249 4.69 0.529 0. 2.314 0. 0.


















Problem 423 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 71 71 169 569 0 1322 0 0
normalized size 1 1. 2.38 8.01 0. 18.62 0. 0.
time (sec) N/A 0.209 2.64 0.434 0. 1.066 0. 0.


















Problem 424 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 168 1007 0 1438 0 0
normalized size 1 1. 2.18 13.08 0. 18.68 0. 0.
time (sec) N/A 0.046 1.452 0.433 0. 1.052 0. 0.


















Problem 425 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 182 2836 0 1728 0 0
normalized size 1 1. 1.53 23.83 0. 14.52 0. 0.
time (sec) N/A 0.272 4.44 0.556 0. 2.462 0. 0.


















Problem 426 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 224 7541 0 2388 0 0
normalized size 1 1. 1.29 43.34 0. 13.72 0. 0.
time (sec) N/A 0.362 5.66 0.489 0. 7.525 0. 0.


















Problem 427 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 241 241 237 14137 0 3425 0 0
normalized size 1 1. 0.98 58.66 0. 14.21 0. 0.
time (sec) N/A 0.471 11.144 0.697 0. 24.112 0. 0.


















Problem 428 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 97 97 187 10947 0 1332 0 0
normalized size 1 1. 1.93 112.86 0. 13.73 0. 0.
time (sec) N/A 0.166 8.613 2.303 0. 3.294 0. 0.


















Problem 429 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 613 10839 0 1264 0 0
normalized size 1 1. 6.89 121.79 0. 14.2 0. 0.
time (sec) N/A 0.128 10.446 2.165 0. 2.812 0. 0.


















Problem 430 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F B A B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 83 83 613 86 0 1208 78 613
normalized size 1 1. 7.39 1.04 0. 14.55 0.94 7.39
time (sec) N/A 0.088 7.608 0.056 0. 2.365 66.105 2.041


















Problem 431 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-1) B F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 137 137 0 68989 0 5253 0 0
normalized size 1 1. 0. 503.57 0. 38.34 0. 0.
time (sec) N/A 0.207 9.145 2.566 0. 5.584 0. 0.


















Problem 432 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-1) B F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 200 200 0 105237 0 7761 0 0
normalized size 1 1. 0. 526.18 0. 38.8 0. 0.
time (sec) N/A 0.32 19.862 3.917 0. 18.009 0. 0.


















Problem 433 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A F B F(-1) B F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 268 268 0 145925 0 10710 0 0
normalized size 1 1. 0. 544.5 0. 39.96 0. 0.
time (sec) N/A 0.449 30.519 15.336 0. 64.468 0. 0.


















Problem 434 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-1) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 157 157 316 2256 0 4811 0 0
normalized size 1 1. 2.01 14.37 0. 30.64 0. 0.
time (sec) N/A 0.345 11.658 0.469 0. 7.531 0. 0.


















Problem 435 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 409 1142 0 1584 0 0
normalized size 1 1. 3.41 9.52 0. 13.2 0. 0.
time (sec) N/A 0.267 6.548 0.401 0. 3.112 0. 0.


















Problem 436 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B C F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 119 119 410 2112 0 1804 0 0
normalized size 1 1. 3.45 17.75 0. 15.16 0. 0.
time (sec) N/A 0.257 4.839 0.418 0. 2.683 0. 0.


















Problem 437 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 125 125 1927 3024 0 2021 0 0
normalized size 1 1. 15.42 24.19 0. 16.17 0. 0.
time (sec) N/A 0.099 6.472 0.421 0. 2.291 0. 0.


















Problem 438 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 247 7586 0 2473 0 0
normalized size 1 1. 1.42 43.6 0. 14.21 0. 0.
time (sec) N/A 0.378 7.829 0.595 0. 7.656 0. 0.


















Problem 439 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 234 15128 0 3449 0 0
normalized size 1 1. 0.99 64.1 0. 14.61 0. 0.
time (sec) N/A 0.482 14.58 0.708 0. 24.494 0. 0.


















Problem 440 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C F(-1) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 315 272 22712 0 4632 0 0
normalized size 1 1. 0.86 72.1 0. 14.7 0. 0.
time (sec) N/A 0.604 26.695 0.924 0. 74.047 0. 0.


















Problem 441 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 105 105 259 0 0 0 0 0
normalized size 1 1. 2.47 0. 0. 0. 0. 0.
time (sec) N/A 0.202 3.801 0.804 0. 0. 0. 0.


















Problem 442 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 122 122 94 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.148 0.6 0.487 0. 0. 0. 0.


















Problem 443 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 86 86 61 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.091 0.167 0.396 0. 0. 0. 0.


















Problem 444 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 54 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 0.053 0.477 0. 0. 0. 0.


















Problem 445 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 114 114 115 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.124 2.152 0.442 0. 0. 0. 0.


















Problem 446 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 157 157 139 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.174 3.536 0.354 0. 0. 0. 0.


















Problem 447 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 88 88 2777 0 0 0 0 0
normalized size 1 1. 31.56 0. 0. 0. 0. 0.
time (sec) N/A 0.149 18.532 0.425 0. 0. 0. 0.


















Problem 448 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 88 88 2465 0 0 0 0 0
normalized size 1 1. 28.01 0. 0. 0. 0. 0.
time (sec) N/A 0.147 16.919 0.356 0. 0. 0. 0.


















Problem 449 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 83 83 2137 0 0 0 0 0
normalized size 1 1. 25.75 0. 0. 0. 0. 0.
time (sec) N/A 0.053 6.269 0.007 0. 0. 0. 0.


















Problem 450 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 84 84 2469 0 0 0 0 0
normalized size 1 1. 29.39 0. 0. 0. 0. 0.
time (sec) N/A 0.143 17.294 0.366 0. 0. 0. 0.


















Problem 451 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 88 88 3033 0 0 0 0 0
normalized size 1 1. 34.47 0. 0. 0. 0. 0.
time (sec) N/A 0.146 18.835 0.4 0. 0. 0. 0.


















Problem 452 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 87 183 99 227 119 495
normalized size 1 1. 0.95 1.99 1.08 2.47 1.29 5.38
time (sec) N/A 0.069 0.27 0.054 0.995 0.544 16.771 3.083


















Problem 453 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 59 126 69 157 82 394
normalized size 1 1. 0.97 2.07 1.13 2.57 1.34 6.46
time (sec) N/A 0.054 0.136 0.05 1.393 0.527 4.426 1.84


















Problem 454 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 30 30 30 28 38 93 42 262
normalized size 1 1. 1. 0.93 1.27 3.1 1.4 8.73
time (sec) N/A 0.023 0.013 0.02 1.036 0.509 2.322 1.303


















Problem 455 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 65 48 61 177 0 122
normalized size 1 1. 1.2 0.89 1.13 3.28 0. 2.26
time (sec) N/A 0.07 0.063 0.05 0.999 0.514 0. 1.222


















Problem 456 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 72 72 114 69 84 254 0 244
normalized size 1 1. 1.58 0.96 1.17 3.53 0. 3.39
time (sec) N/A 0.063 1.092 0.054 1.004 0.518 0. 1.417


















Problem 457 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 251 274 0 10531 0 0
normalized size 1 1. 1.15 1.25 0. 48.09 0. 0.
time (sec) N/A 0.321 0.366 0.063 0. 3.621 0. 0.


















Problem 458 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) C F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 166 242 141 0 5415 0 1077
normalized size 1 1. 1.46 0.85 0. 32.62 0. 6.49
time (sec) N/A 0.147 0.244 0.066 0. 72.243 0. 1.884


















Problem 459 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 37 28 51 170 258
normalized size 1 1. 1. 1.61 1.22 2.22 7.39 11.22
time (sec) N/A 0.031 0.019 0.026 0.998 0.552 82.6 1.229


















Problem 460 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 295 295 290 393 0 12783 0 0
normalized size 1 1. 0.98 1.33 0. 43.33 0. 0.
time (sec) N/A 0.517 0.389 0.081 0. 3.763 0. 0.


















Problem 461 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) C F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 393 393 336 676 0 21913 0 0
normalized size 1 1. 0.85 1.72 0. 55.76 0. 0.
time (sec) N/A 0.632 2.116 0.098 0. 7.896 0. 0.


















Problem 462 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 29 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.06 3.251 2.434 0. 0. 0. 0.


















Problem 463 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 226 226 221 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.524 6.892 0.573 0. 0. 0. 0.


















Problem 464 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 143 143 171 0 0 0 0 0
normalized size 1 1. 1.2 0. 0. 0. 0. 0.
time (sec) N/A 0.294 4.125 0.546 0. 0. 0. 0.


















Problem 465 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 59 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.077 0.09 0.553 0. 0. 0. 0.


















Problem 466 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.044 3.823 0.584 0. 0. 0. 0.


















Problem 467 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.056 2.346 0.537 0. 0. 0. 0.


















Problem 468 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 1.944 0.493 0. 0. 0. 0.


















Problem 469 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 18 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.015 1.901 0.484 0. 0. 0. 0.


















Problem 470 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.055 1.875 0.541 0. 0. 0. 0.









2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [255] had the largest ratio of [ 0.6 ]

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 3 2 1. 21 0.095







2 A 3 2 1. 21 0.095







3 A 3 2 1. 21 0.095







4 A 3 2 1. 19 0.105







5 A 3 3 1. 19 0.158







6 A 4 4 1. 21 0.19







7 A 5 4 1. 21 0.19







8 A 6 6 1. 21 0.286







9 A 5 5 1. 21 0.238







10 A 4 4 1. 21 0.19







11 A 3 2 1. 12 0.167







12 A 3 2 1. 21 0.095







13 A 3 2 1. 21 0.095







14 A 3 2 1. 21 0.095







15 A 3 2 1. 23 0.087







16 A 3 2 1. 23 0.087







17 A 3 2 1. 21 0.095







18 A 4 3 1. 21 0.143







19 A 5 5 1. 23 0.217







20 A 6 5 1. 23 0.217







21 A 7 6 1. 23 0.261







22 A 6 5 1. 23 0.217







23 A 5 5 1. 23 0.217







24 A 4 3 1. 14 0.214







25 A 3 2 1. 23 0.087







26 A 3 2 1. 23 0.087







27 A 3 2 1. 23 0.087







28 A 4 3 1. 23 0.13







29 A 4 4 1. 23 0.174







30 A 3 3 1. 21 0.143







31 A 4 4 1. 21 0.19







32 A 5 5 1. 23 0.217







33 A 6 6 1. 23 0.261







34 A 7 7 1. 23 0.304







35 A 6 6 1. 23 0.261







36 A 5 5 1. 23 0.217







37 A 3 3 1. 14 0.214







38 A 3 3 1. 23 0.13







39 A 4 4 1. 23 0.174







40 A 4 3 1. 23 0.13







41 A 6 5 1. 23 0.217







42 A 5 4 1. 23 0.174







43 A 4 4 1. 21 0.19







44 A 5 5 1. 21 0.238







45 A 6 6 1. 23 0.261







46 A 7 6 1. 23 0.261







47 A 8 7 1. 23 0.304







48 A 7 6 1. 23 0.261







49 A 6 6 1. 23 0.261







50 A 5 5 1. 14 0.357







51 A 4 4 1. 23 0.174







52 A 5 4 1. 23 0.174







53 A 6 5 1. 23 0.217







54 A 6 5 1. 23 0.217







55 A 6 5 1. 23 0.217







56 A 5 4 1. 21 0.19







57 A 6 6 1. 21 0.286







58 A 7 7 1. 23 0.304







59 A 8 7 1. 23 0.304







60 A 9 7 1. 23 0.304







61 A 8 6 1. 23 0.261







62 A 7 6 1. 23 0.261







63 A 6 6 1. 14 0.429







64 A 5 4 1. 23 0.174







65 A 6 5 1. 23 0.217







66 A 7 6 1. 23 0.261







67 A 6 6 1. 25 0.24







68 A 5 5 1. 25 0.2







69 A 4 4 1. 23 0.174







70 A 6 6 1. 23 0.261







71 A 7 7 1. 25 0.28







72 A 8 8 1. 25 0.32







73 A 9 8 1. 25 0.32







74 A 8 8 1. 25 0.32







75 A 7 7 1. 25 0.28







76 A 6 6 1. 16 0.375







77 A 4 4 1. 25 0.16







78 A 5 5 1. 25 0.2







79 A 6 6 1. 25 0.24







80 A 7 7 1. 25 0.28







81 A 6 6 1. 25 0.24







82 A 5 5 1. 23 0.217







83 A 7 7 1. 23 0.304







84 A 8 8 1. 25 0.32







85 A 9 9 1. 25 0.36







86 A 10 10 1. 25 0.4







87 A 9 9 1. 25 0.36







88 A 8 8 1. 25 0.32







89 A 7 7 1. 16 0.438







90 A 5 5 1. 25 0.2







91 A 6 6 1. 25 0.24







92 A 7 7 1. 25 0.28







93 A 4 4 1. 25 0.16







94 A 3 3 1. 25 0.12







95 A 2 2 1. 23 0.087







96 A 3 3 1. 23 0.13







97 A 5 5 1. 25 0.2







98 A 6 6 1. 25 0.24







99 A 7 7 1. 25 0.28







100 A 6 6 1. 25 0.24







101 A 5 5 1. 25 0.2







102 A 3 3 1. 16 0.188







103 A 2 2 1. 25 0.08







104 A 3 3 1. 25 0.12







105 A 4 4 1. 25 0.16







106 A 5 5 1. 25 0.2







107 A 4 4 1. 25 0.16







108 A 3 3 1. 23 0.13







109 A 4 4 1. 23 0.174







110 A 6 6 1. 25 0.24







111 A 7 6 1. 25 0.24







112 A 8 7 1. 25 0.28







113 A 7 6 1. 25 0.24







114 A 6 6 1. 25 0.24







115 A 4 4 1. 16 0.25







116 A 3 3 1. 25 0.12







117 A 4 4 1. 25 0.16







118 A 5 5 1. 25 0.2







119 A 6 6 1. 25 0.24







120 A 5 5 1. 25 0.2







121 A 4 4 1. 23 0.174







122 A 6 6 1. 23 0.261







123 A 7 6 1. 25 0.24







124 A 8 6 1. 25 0.24







125 A 9 7 1. 25 0.28







126 A 8 6 1. 25 0.24







127 A 7 6 1. 25 0.24







128 A 6 6 1. 16 0.375







129 A 4 4 1. 25 0.16







130 A 5 5 1. 25 0.2







131 A 6 6 1. 25 0.24







132 F 0 0 N/A 0 N/A







133 A 5 5 1. 23 0.217







134 A 4 4 1. 23 0.174







135 A 3 3 1. 21 0.143







136 A 3 3 1. 21 0.143







137 A 3 3 1. 23 0.13







138 A 3 3 1. 23 0.13







139 A 3 3 1. 23 0.13







140 A 3 3 1. 14 0.214







141 A 3 3 1. 23 0.13







142 A 4 4 1. 23 0.174







143 A 5 5 1. 23 0.217







144 A 6 3 1. 15 0.2







145 A 5 3 1. 15 0.2







146 A 4 3 1. 15 0.2







147 A 3 2 1. 13 0.154







148 A 3 3 1. 15 0.2







149 A 4 3 1. 15 0.2







150 A 5 3 1. 15 0.2







151 A 6 3 1. 15 0.2







152 A 4 3 1. 21 0.143







153 A 3 3 1. 21 0.143







154 A 2 2 1. 19 0.105







155 A 2 2 1. 19 0.105







156 A 3 2 1. 21 0.095







157 A 4 3 1. 21 0.143







158 A 3 2 1. 21 0.095







159 A 3 2 1. 21 0.095







160 A 3 3 1. 21 0.143







161 A 3 2 1. 12 0.167







162 A 2 2 1. 21 0.095







163 A 3 3 1. 21 0.143







164 A 4 3 1. 21 0.143







165 A 6 5 1. 23 0.217







166 A 5 5 1. 23 0.217







167 A 4 4 1. 21 0.19







168 A 5 4 1. 21 0.19







169 A 4 3 1. 23 0.13







170 A 3 2 1. 23 0.087







171 A 3 2 1. 23 0.087







172 A 3 2 1. 23 0.087







173 A 3 2 1. 23 0.087







174 A 4 3 1. 14 0.214







175 A 5 4 1. 23 0.174







176 A 4 4 1. 23 0.174







177 A 5 5 1. 23 0.217







178 A 4 3 1. 14 0.214







179 A 4 3 1. 14 0.214







180 A 5 5 1. 23 0.217







181 A 4 4 1. 23 0.174







182 A 2 2 1. 21 0.095







183 A 3 3 1. 21 0.143







184 A 4 3 1. 23 0.13







185 A 4 3 1. 23 0.13







186 A 4 3 1. 23 0.13







187 A 3 3 1. 23 0.13







188 A 2 2 1. 23 0.087







189 A 3 3 1. 14 0.214







190 A 5 5 1. 23 0.217







191 A 6 6 1. 23 0.261







192 A 7 6 1. 23 0.261







193 A 5 5 1. 23 0.217







194 A 3 3 1. 23 0.13







195 A 3 3 1. 21 0.143







196 A 5 4 1. 21 0.19







197 A 5 4 1. 23 0.174







198 A 5 4 1. 23 0.174







199 A 5 4 1. 23 0.174







200 A 3 3 1. 23 0.13







201 A 3 3 1. 23 0.13







202 A 5 5 1. 14 0.357







203 A 6 6 1. 23 0.261







204 A 7 6 1. 23 0.261







205 A 8 6 1. 23 0.261







206 A 4 3 1. 23 0.13







207 A 4 4 1. 23 0.174







208 A 4 4 1. 21 0.19







209 A 6 5 1. 21 0.238







210 A 6 5 1. 23 0.217







211 A 6 5 1. 23 0.217







212 A 4 4 1. 23 0.174







213 A 4 4 1. 23 0.174







214 A 4 3 1. 23 0.13







215 A 6 6 1. 14 0.429







216 A 7 6 1. 23 0.261







217 A 8 6 1. 23 0.261







218 A 9 6 1. 23 0.261







219 A 7 6 1. 14 0.429







220 A 6 4 1. 17 0.235







221 A 5 4 1. 17 0.235







222 A 4 4 1. 17 0.235







223 A 3 3 1. 17 0.176







224 A 3 3 1. 17 0.176







225 A 4 4 1. 17 0.235







226 A 5 4 1. 17 0.235







227 A 6 4 1. 17 0.235







228 A 11 10 1.27 25 0.4







229 A 10 10 1.26 25 0.4







230 A 10 10 1.24 23 0.435







231 A 5 5 1.29 23 0.217







232 A 9 9 1.22 25 0.36







233 A 10 10 1.18 25 0.4







234 A 6 6 1. 25 0.24







235 A 5 5 1. 25 0.2







236 A 4 4 1. 25 0.16







237 A 6 6 1. 16 0.375







238 A 4 4 1. 25 0.16







239 A 5 5 1. 25 0.2







240 A 7 6 1. 25 0.24







241 A 12 10 1.27 25 0.4







242 A 11 10 1.27 25 0.4







243 A 10 10 1.26 23 0.435







244 A 9 9 1.24 23 0.391







245 A 9 9 1.22 25 0.36







246 A 10 10 1.24 25 0.4







247 A 7 6 1. 25 0.24







248 A 6 5 1. 25 0.2







249 A 5 4 1. 25 0.16







250 A 7 7 1. 16 0.438







251 A 7 7 1. 25 0.28







252 A 5 4 1. 25 0.16







253 A 6 5 1. 25 0.2







254 A 8 8 1. 16 0.5







255 A 6 6 1. 10 0.6







256 A 5 5 1. 10 0.5







257 A 10 10 1.15 25 0.4







258 A 7 7 1.19 25 0.28







259 A 5 5 1.29 23 0.217







260 A 5 5 1.22 23 0.217







261 A 9 9 1.16 25 0.36







262 A 10 10 1.14 25 0.4







263 A 5 5 1. 25 0.2







264 A 4 4 1. 25 0.16







265 A 3 3 1. 25 0.12







266 A 3 3 1. 16 0.188







267 A 4 4 1. 25 0.16







268 A 6 6 1. 25 0.24







269 A 7 6 1. 25 0.24







270 A 10 10 1.27 25 0.4







271 A 7 7 1.21 25 0.28







272 A 9 9 1.24 23 0.391







273 A 9 9 1.23 23 0.391







274 A 10 10 1.19 25 0.4







275 A 11 10 1.17 25 0.4







276 A 5 5 1. 25 0.2







277 A 4 4 1. 25 0.16







278 A 2 2 1. 25 0.08







279 A 4 4 1. 16 0.25







280 A 6 6 1. 25 0.24







281 A 7 6 1. 25 0.24







282 A 8 6 1. 25 0.24







283 A 10 10 1.19 25 0.4







284 A 10 10 1.19 25 0.4







285 A 10 10 1.19 23 0.435







286 A 10 10 1.18 23 0.435







287 A 11 11 1.16 25 0.44







288 A 12 11 1.14 25 0.44







289 A 5 5 1. 25 0.2







290 A 3 3 1. 25 0.12







291 A 3 3 1. 25 0.12







292 A 6 6 1. 16 0.375







293 A 7 6 1. 25 0.24







294 A 8 6 1. 25 0.24







295 A 9 6 1. 25 0.24







296 A 7 6 1. 16 0.375







297 A 3 3 1. 10 0.3







298 F 0 0 N/A 0 N/A







299 A 5 5 1.2 23 0.217







300 A 5 5 1.2 21 0.238







301 A 5 5 1.21 21 0.238







302 A 5 5 1.2 23 0.217







303 A 5 5 1.2 23 0.217







304 A 5 5 1. 23 0.217







305 A 4 4 1. 23 0.174







306 A 3 3 1. 23 0.13







307 A 3 3 1. 14 0.214







308 A 3 3 1. 23 0.13







309 A 3 3 1. 23 0.13







310 A 3 3 1. 23 0.13







311 A 4 3 1. 21 0.143







312 A 4 3 1. 21 0.143







313 A 3 2 1. 19 0.105







314 A 4 3 1. 19 0.158







315 A 4 3 1. 21 0.143







316 A 4 3 1. 21 0.143







317 A 4 3 1. 21 0.143







318 A 4 3 1. 21 0.143







319 A 4 3 1. 21 0.143







320 A 3 2 1. 12 0.167







321 A 4 3 1. 21 0.143







322 A 4 3 1. 21 0.143







323 A 4 3 1. 21 0.143







324 A 4 3 1. 23 0.13







325 A 4 3 1. 23 0.13







326 A 4 3 1. 21 0.143







327 A 4 3 1. 21 0.143







328 A 4 3 1. 23 0.13







329 A 4 3 1. 23 0.13







330 A 4 3 1. 23 0.13







331 A 4 3 1. 23 0.13







332 A 4 3 1. 23 0.13







333 A 4 3 1. 14 0.214







334 A 4 3 1. 23 0.13







335 A 4 3 1. 23 0.13







336 A 4 3 1. 23 0.13







337 A 4 3 1. 23 0.13







338 A 4 3 1. 23 0.13







339 A 2 2 1. 21 0.095







340 A 4 3 1. 21 0.143







341 A 4 3 1. 23 0.13







342 A 4 3 1. 23 0.13







343 A 7 7 1. 23 0.304







344 A 6 6 1. 23 0.261







345 A 5 5 1. 23 0.217







346 A 3 3 1. 14 0.214







347 A 6 6 1. 23 0.261







348 A 7 7 1. 23 0.304







349 A 8 7 1. 23 0.304







350 A 4 3 1. 23 0.13







351 A 4 3 1. 23 0.13







352 A 4 3 1. 21 0.143







353 A 4 3 1. 21 0.143







354 A 4 3 1. 23 0.13







355 A 4 3 1. 23 0.13







356 A 7 7 1. 23 0.304







357 A 6 6 1. 23 0.261







358 A 6 6 1. 23 0.261







359 A 5 5 1. 14 0.357







360 A 7 7 1. 23 0.304







361 A 8 7 1. 23 0.304







362 A 9 7 1. 23 0.304







363 A 4 3 1. 23 0.13







364 A 4 3 1. 23 0.13







365 A 4 3 1. 21 0.143







366 A 4 3 1. 21 0.143







367 A 4 3 1. 23 0.13







368 A 4 3 1. 23 0.13







369 A 7 7 1. 23 0.304







370 A 7 7 1. 23 0.304







371 A 7 7 1. 23 0.304







372 A 6 6 1. 14 0.429







373 A 8 8 1. 23 0.348







374 A 9 8 1. 23 0.348







375 A 10 8 1. 23 0.348







376 A 7 6 1. 25 0.24







377 A 6 6 1. 25 0.24







378 A 5 5 1. 23 0.217







379 A 7 5 1. 23 0.217







380 A 8 6 1. 25 0.24







381 A 9 7 1. 25 0.28







382 A 10 9 1. 25 0.36







383 A 9 9 1. 25 0.36







384 A 8 8 1. 25 0.32







385 A 6 6 1. 16 0.375







386 A 6 6 1. 25 0.24







387 A 7 7 1. 25 0.28







388 A 8 7 1. 25 0.28







389 A 8 6 1. 25 0.24







390 A 7 6 1. 25 0.24







391 A 6 5 1. 23 0.217







392 A 8 6 1. 23 0.261







393 A 8 6 1. 25 0.24







394 A 9 7 1. 25 0.28







395 A 11 9 1. 25 0.36







396 A 10 9 1. 25 0.36







397 A 9 9 1. 25 0.36







398 A 7 7 1. 16 0.438







399 A 8 8 1. 25 0.32







400 A 7 7 1. 25 0.28







401 A 8 7 1. 25 0.28







402 A 6 5 1. 25 0.2







403 A 5 5 1. 25 0.2







404 A 4 4 1. 23 0.174







405 A 7 5 1. 23 0.217







406 A 8 6 1. 25 0.24







407 A 9 7 1. 25 0.28







408 A 9 9 1. 25 0.36







409 A 8 8 1. 25 0.32







410 A 7 7 1. 25 0.28







411 A 3 3 1. 16 0.188







412 A 6 6 1. 25 0.24







413 A 7 7 1. 25 0.28







414 A 8 7 1. 25 0.28







415 A 6 5 1. 25 0.2







416 A 5 5 1. 25 0.2







417 A 5 5 1. 23 0.217







418 A 8 6 1. 23 0.261







419 A 9 7 1. 25 0.28







420 A 10 8 1. 25 0.32







421 A 9 9 1. 25 0.36







422 A 8 8 1. 25 0.32







423 A 5 5 1. 25 0.2







424 A 4 4 1. 16 0.25







425 A 7 7 1. 25 0.28







426 A 8 7 1. 25 0.28







427 A 9 7 1. 25 0.28







428 A 6 5 1. 25 0.2







429 A 6 6 1. 25 0.24







430 A 6 5 1. 23 0.217







431 A 9 7 1. 23 0.304







432 A 10 7 1. 25 0.28







433 A 11 8 1. 25 0.32







434 A 9 9 1. 25 0.36







435 A 7 7 1. 25 0.28







436 A 7 7 1. 25 0.28







437 A 6 6 1. 16 0.375







438 A 8 8 1. 25 0.32







439 A 9 8 1. 25 0.32







440 A 10 8 1. 25 0.32







441 A 4 4 1. 25 0.16







442 A 5 4 1. 23 0.174







443 A 4 4 1. 23 0.174







444 A 3 3 1. 21 0.143







445 A 5 5 1. 21 0.238







446 A 6 6 1. 23 0.261







447 A 4 4 1. 23 0.174







448 A 4 4 1. 23 0.174







449 A 3 3 1. 14 0.214







450 A 4 4 1. 23 0.174







451 A 4 4 1. 23 0.174







452 A 3 2 1. 21 0.095







453 A 3 2 1. 21 0.095







454 A 3 2 1. 19 0.105







455 A 3 2 1. 19 0.105







456 A 5 4 1. 21 0.19







457 A 11 10 1. 23 0.435







458 A 9 9 1. 23 0.391







459 A 2 2 1. 21 0.095







460 A 11 10 1. 21 0.476







461 A 11 10 1. 23 0.435







462 A 0 0 0. 0 0.







463 A 15 8 1. 25 0.32







464 A 11 8 1. 25 0.32







465 A 5 5 1. 23 0.217







466 A 0 0 0. 0 0.







467 A 0 0 0. 0 0.







468 A 0 0 0. 0 0.







469 A 0 0 0. 0 0.







470 A 0 0 0. 0 0.