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Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413 }

B grade: { }

C grade: { }

F grade: { 174}

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 22, 24, 34, 35, 36, 37, 41, 42, 43, 47, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 94, 95, 96, 97, 104, 105, 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, 170, 175, 176, 177, 178, 179, 182, 183, 184, 185, 189, 190, 191, 192, 193, 194, 195, 196, 197, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 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, 399, 400, 401, 402, 403, 404, 405 }

B grade: { 26, 27, 28, 29, 30, 31, 32, 33, 38, 39, 40, 65, 80, 88 }

C grade: { 14, 15, 16, 17, 18, 19, 20, 21, 23, 25, 44, 45, 46, 48, 49, 73, 92, 93, 98, 99, 100, 101, 102, 103, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 171, 172, 173, 198, 199, 200, 201, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 241, 242, 243, 286, 287, 288, 289, 290, 291, 292, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 406, 407, 408, 409, 410, 411, 412, 413 }

F grade: { 174, 180, 181, 186, 187, 188, 238, 239, 240, 293, 294, 295, 307, 308, 309, 310, 311, 324, 325, 326, 327, 339, 340, 341, 342, 343, 344, 356, 357, 358, 359, 372, 373, 374, 375}

2.1.3 Maple

A grade: { 1, 2, 7, 8, 13, 17, 26, 27, 28, 29, 30, 31, 32, 33, 37, 38, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 72, 73, 75, 76, 77, 84, 85, 86, 87, 88, 89, 90, 92, 93, 94, 95, 98, 99, 102, 103, 106, 107, 108, 109, 110, 111, 112, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 138, 139, 140, 141, 142, 143, 145, 146, 147, 148, 149, 158, 159, 160, 164, 165, 175, 182, 183, 184, 185, 189, 190, 191, 192, 193, 194, 199, 200, 201, 205, 206, 207, 211, 212, 213, 215, 216, 217, 218, 219, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 260, 261, 262, 267, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 316, 323, 324, 325, 331, 338, 347, 382, 383, 384, 386, 387, 388, 390, 391, 392, 393, 399, 404, 405, 407, 412, 413 }

B grade: { 3, 4, 5, 6, 9, 10, 11, 12, 14, 15, 16, 23, 25, 34, 35, 36, 39, 40, 41, 53, 54, 55, 67, 68, 69, 70, 71, 74, 78, 79, 80, 81, 82, 83, 91, 96, 97, 100, 101, 104, 105, 113, 114, 115, 116, 117, 118, 137, 144, 157, 161, 162, 163, 166, 167, 170, 172, 195, 196, 197, 198, 202, 203, 204, 208, 209, 210, 214, 220, 221, 222, 223, 224, 256, 257, 258, 259, 263, 264, 265, 266, 268, 269, 270, 271, 272, 273, 274, 275, 317, 318, 319, 320, 321, 322, 326, 327, 328, 329, 330, 332, 333, 334, 335, 336, 337, 339, 340, 341, 342, 343, 344, 345, 346, 380, 381, 385, 389 }

C grade: { 18, 19, 20, 21, 22, 24, 150, 151, 152, 153, 154, 155, 156, 168, 169, 171, 173, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 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, 394, 395, 396, 397, 398, 406, 408, 409, 410, 411 }

F grade: { 174, 176, 177, 178, 179, 180, 181, 186, 187, 188, 400, 401, 402, 403 }

2.1.4 Maxima

A grade: { 5, 6, 8, 13, 37, 42, 43, 44, 47, 51, 52, 56, 57, 58, 61, 66, 72, 73, 74, 76, 77, 84, 85, 86, 89, 92, 93, 94, 96, 98, 99, 120, 121, 122, 123, 128, 129, 130, 131, 175, 244, 245, 246, 247, 252, 253, 254, 255, 284, 285, 399, 404, 405

B grade: { 7, 65, 88, 95, 282, 283 }

C grade: { 108 }

F grade: { 1, 2, 3, 4, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 45, 46, 48, 49, 50, 53, 54, 55, 59, 60, 62, 63, 64, 67, 68, 69, 70, 71, 75, 78, 79, 80, 81, 82, 83, 87, 90, 91, 97, 100, 101, 102, 103, 104, 105, 106, 107, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 124, 125, 126, 127, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 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, 248, 249, 250, 251, 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, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 400, 401, 402, 403, 406, 407, 408, 409, 410, 411, 412, 413 }

2.1.5 FriCAS

A grade: { 5, 6, 8, 9, 10, 11, 12, 13, 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, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 98, 99, 108, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 141, 147, 175, 189, 190, 191, 192, 193, 195, 196, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 215, 216, 217, 218, 220, 221, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 261, 262, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 399, 404, 405 }

B grade: { 1, 2, 3, 4, 7, 65, 88, 94, 95, 96, 97, 100, 101, 104, 105, 106, 107, 109, 110, 111, 112, 137, 138, 139, 140, 142, 143, 144, 145, 146, 148, 194, 197, 198, 211, 212, 213, 214, 219, 222, 223, 224, 258, 259, 260, 264, 265, 266, 267, 271, 272, 273, 408, 409, 410, 411 }

C grade: { 102, 103 }

F grade: { 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 113, 114, 115, 116, 117, 118, 119, 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, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 263, 268, 269, 270, 274, 275, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 400, 401, 402, 403, 406, 407, 412, 413 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 16, 17, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 97, 100, 101, 106, 109, 120, 121, 122, 123, 127, 128, 129, 130, 131, 134, 135, 136, 137, 138, 139, 140, 141, 144, 145, 146, 147, 157, 158, 159, 164, 166, 189, 190, 191, 244, 245, 246, 247, 250, 251, 252, 253, 254, 255, 258, 259, 266, 267, 273, 279, 280 }

B grade: { 7, 14, 15, 23, 25, 38, 42, 65, 88, 95, 96, 104, 105, 124, 125, 126, 132, 133, 167, 192, 193, 194, 214, 215, 216, 217, 218, 248, 249, 256, 257, 261, 262, 265, 272, 276, 277, 278, 281, 282, 283 }

C grade: { 18, 19, 20, 21, 98, 99, 108, 150, 151, 152, 153, 168, 177, 178, 179, 182, 183, 184, 185 }

F grade: { 22, 24, 102, 103, 107, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 142, 143, 148, 149, 154, 155, 156, 160, 161, 162, 163, 165, 169, 170, 171, 172, 173, 174, 175, 176, 180, 181, 186, 187, 188, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 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, 260, 263, 264, 268, 269, 270, 271, 274, 275, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413 }

2.1.7 Giac

A grade: { 1, 2, 5, 6, 8, 37, 38, 41, 42, 43, 44, 51, 52, 55, 56, 57, 58, 61, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 97, 98, 99, 108, 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, 175, 195, 197, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 399, 404, 405 }

B grade: { 3, 4, 7, 11, 12, 13, 47, 53, 65, 88, 95, 96, 189, 190, 191, 192, 196 }

C grade: { 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 39, 40, 54, 104, 105, 266, 267 }

F grade: { 9, 10, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 45, 46, 48, 49, 50, 59, 60, 62, 63, 64, 68, 80, 100, 101, 102, 103, 106, 107, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 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, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 193, 194, 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, 263, 264, 265, 268, 269, 270, 271, 272, 273, 274, 275, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 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, 400, 401, 402, 403, 406, 407, 408, 409, 410, 411, 412, 413 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 247 183 260 0 1544 109 325
normalized size 1 1. 0.74 1.05 0. 6.25 0.44 1.32
time (sec) N/A 0.151 0.075 0.044 0. 1.782 0.598 1.184
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 247 184 260 0 1544 110 325
normalized size 1 1. 0.74 1.05 0. 6.25 0.45 1.32
time (sec) N/A 0.138 0.044 0.045 0. 1.647 0.764 1.153
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 95 122 0 1527 110 347
normalized size 1 1. 1.1 1.42 0. 17.76 1.28 4.03
time (sec) N/A 0.045 0.028 0.044 0. 1.497 0.631 1.136
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 95 122 0 1527 110 347
normalized size 1 1. 1.1 1.42 0. 17.76 1.28 4.03
time (sec) N/A 0.04 0.022 0.043 0. 1.44 0.79 1.138
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 33 122 53 112 41 70
normalized size 1 1. 0.82 3.05 1.32 2.8 1.02 1.75
time (sec) N/A 0.02 0.012 0.045 1.498 1.309 0.106 1.145
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 44 82 53 105 49 54
normalized size 1 1. 0.86 1.61 1.04 2.06 0.96 1.06
time (sec) N/A 0.021 0.013 0.043 1.493 1.439 0.099 1.137
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 32 13 34 77 32 39
normalized size 1 1. 2. 0.81 2.12 4.81 2. 2.44
time (sec) N/A 0.003 0.014 0.043 1.493 1.405 0.092 1.156
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 13 16 47 15 16
normalized size 1 1. 1. 0.81 1. 2.94 0.94 1.
time (sec) N/A 0.003 0.005 0.041 1.429 1.257 0.094 1.125
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 60 254 0 458 138 0
normalized size 1 1. 0.8 3.39 0. 6.11 1.84 0.
time (sec) N/A 0.037 0.019 0.047 0. 1.506 0.525 0.
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 91 254 0 462 131 0
normalized size 1 1. 0.86 2.4 0. 4.36 1.24 0.
time (sec) N/A 0.047 0.022 0.048 0. 1.487 0.534 0.
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 60 290 0 343 87 300
normalized size 1 1. 0.8 3.87 0. 4.57 1.16 4.
time (sec) N/A 0.05 0.032 0.07 0. 1.363 0.176 1.168
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 75 290 0 346 80 300
normalized size 1 1. 0.83 3.22 0. 3.84 0.89 3.33
time (sec) N/A 0.047 0.022 0.045 0. 1.293 0.331 1.158
Problem 13 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 13 13 25 18 23 68 22 26
normalized size 1 1. 1.92 1.38 1.77 5.23 1.69 2.
time (sec) N/A 0.006 0.006 0.044 1.486 1.35 0.133 1.128
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 45 100 0 0 70 0
normalized size 1 1. 2.81 6.25 0. 0. 4.38 0.
time (sec) N/A 0.016 0.012 0.052 0. 0. 1.529 0.
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 45 99 0 0 70 0
normalized size 1 1. 1.29 2.83 0. 0. 2. 0.
time (sec) N/A 0.033 0.012 0.048 0. 0. 1.878 0.
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 74 107 0 0 61 0
normalized size 1 1. 1.72 2.49 0. 0. 1.42 0.
time (sec) N/A 0.025 0.023 0.054 0. 0. 1.505 0.
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 74 108 0 0 60 0
normalized size 1 1. 0.83 1.21 0. 0. 0.67 0.
time (sec) N/A 0.046 0.021 0.046 0. 0. 1.867 0.
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 47 120 0 0 66 0
normalized size 1 1. 0.53 1.35 0. 0. 0.74 0.
time (sec) N/A 0.014 0.012 0.153 0. 0. 1.839 0.
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 47 120 0 0 66 0
normalized size 1 1. 0.31 0.79 0. 0. 0.43 0.
time (sec) N/A 0.031 0.01 0.046 0. 0. 1.495 0.
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 76 122 0 0 70 0
normalized size 1 1. 0.84 1.36 0. 0. 0.78 0.
time (sec) N/A 0.015 0.026 0.131 0. 0. 1.906 0.
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 156 156 76 122 0 0 71 0
normalized size 1 1. 0.49 0.78 0. 0. 0.46 0.
time (sec) N/A 0.032 0.019 0.046 0. 0. 1.52 0.
Problem 22 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 10 10 10 15 0 0 0 0
normalized size 1 1. 1. 1.5 0. 0. 0. 0.
time (sec) N/A 0.009 0.007 0.063 0. 0. 0. 0.
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 47 118 0 0 71 0
normalized size 1 1. 4.7 11.8 0. 0. 7.1 0.
time (sec) N/A 0.016 0.013 0.052 0. 0. 1.549 0.
Problem 24 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 23 23 24 28 0 0 0 0
normalized size 1 1. 1.04 1.22 0. 0. 0. 0.
time (sec) N/A 0.026 0.008 0.049 0. 0. 0. 0.
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 47 117 0 0 71 0
normalized size 1 1. 2.04 5.09 0. 0. 3.09 0.
time (sec) N/A 0.033 0.012 0.048 0. 0. 1.934 0.
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 181 71 0 375 122 5779
normalized size 1 1. 2.21 0.87 0. 4.57 1.49 70.48
time (sec) N/A 0.1 0.109 0.201 0. 1.373 0.422 1.621
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 181 71 0 375 122 5779
normalized size 1 1. 2.21 0.87 0. 4.57 1.49 70.48
time (sec) N/A 0.11 0.111 0.204 0. 1.349 0.422 1.61
Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 189 75 0 375 110 5387
normalized size 1 1. 2.42 0.96 0. 4.81 1.41 69.06
time (sec) N/A 0.098 0.109 0.179 0. 1.348 0.455 1.624
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 189 75 0 379 121 5387
normalized size 1 1. 2.2 0.87 0. 4.41 1.41 62.64
time (sec) N/A 0.104 0.107 0.175 0. 1.39 0.424 1.598
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 182 88 0 378 121 5779
normalized size 1 1. 2.33 1.13 0. 4.85 1.55 74.09
time (sec) N/A 0.052 0.12 0.173 0. 1.328 0.575 1.64
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 182 69 0 379 110 5779
normalized size 1 1. 2.33 0.88 0. 4.86 1.41 74.09
time (sec) N/A 0.048 0.129 0.173 0. 1.285 0.599 1.634
Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 190 61 0 378 112 5387
normalized size 1 1. 2.71 0.87 0. 5.4 1.6 76.96
time (sec) N/A 0.044 0.134 0.18 0. 1.409 0.606 1.609
Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 190 61 0 378 112 5387
normalized size 1 1. 2.71 0.87 0. 5.4 1.6 76.96
time (sec) N/A 0.047 0.133 0.171 0. 1.289 0.6 1.584
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 134 134 250 582 0 494 158 6884
normalized size 1 1. 1.87 4.34 0. 3.69 1.18 51.37
time (sec) N/A 0.101 0.164 0.275 0. 1.406 0.796 2.444
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 248 582 0 490 160 6884
normalized size 1 1. 1.91 4.48 0. 3.77 1.23 52.95
time (sec) N/A 0.166 0.122 0.223 0. 1.323 0.777 2.415
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 130 130 248 582 0 490 160 6884
normalized size 1 1. 1.91 4.48 0. 3.77 1.23 52.95
time (sec) N/A 0.131 0.044 0.212 0. 1.351 0.784 2.442
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 26 34 66 26 34
normalized size 1 1. 1. 0.9 1.17 2.28 0.9 1.17
time (sec) N/A 0.026 0.018 0.049 0.962 1.282 0.506 1.227
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 138 52 0 389 117 69
normalized size 1 1. 2.3 0.87 0. 6.48 1.95 1.15
time (sec) N/A 0.069 0.2 0.123 0. 1.307 0.38 1.263
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 126 277 0 286 95 3352
normalized size 1 1. 2.03 4.47 0. 4.61 1.53 54.06
time (sec) N/A 0.058 0.059 0.137 0. 1.353 0.27 1.448
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 134 277 0 298 83 3069
normalized size 1 1. 2.03 4.2 0. 4.52 1.26 46.5
time (sec) N/A 0.058 0.058 0.106 0. 1.269 0.286 1.272
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 83 136 0 117 42 53
normalized size 1 1. 1.84 3.02 0. 2.6 0.93 1.18
time (sec) N/A 0.059 0.074 0.075 0. 1.316 0.115 1.176
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 17 12 15 66 22 15
normalized size 1 1. 1.13 0.8 1. 4.4 1.47 1.
time (sec) N/A 0.009 0.008 0.05 1.457 1.275 0.104 1.136
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 12 15 42 14 15
normalized size 1 1. 1. 0.86 1.07 3. 1. 1.07
time (sec) N/A 0.007 0.004 0.041 1.445 1.358 0.09 1.135
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 97 34 45 112 44 45
normalized size 1 1. 2.55 0.89 1.18 2.95 1.16 1.18
time (sec) N/A 0.035 0.185 0.043 1.44 1.307 0.115 1.136
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 99 40 0 107 42 0
normalized size 1 1. 2.06 0.83 0. 2.23 0.88 0.
time (sec) N/A 0.04 0.104 0.06 0. 1.24 0.111 0.
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 97 40 0 112 44 0
normalized size 1 1. 2.11 0.87 0. 2.43 0.96 0.
time (sec) N/A 0.043 0.225 0.061 0. 1.343 0.113 0.
Problem 47 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 21 21 17 18 23 53 14 62
normalized size 1 1. 0.81 0.86 1.1 2.52 0.67 2.95
time (sec) N/A 0.013 0.006 0.043 1.459 1.306 0.096 1.12
Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 101 40 0 109 42 0
normalized size 1 1. 2.2 0.87 0. 2.37 0.91 0.
time (sec) N/A 0.041 0.278 0.062 0. 1.399 0.116 0.
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 99 40 0 90 29 0
normalized size 1 1. 2.25 0.91 0. 2.05 0.66 0.
time (sec) N/A 0.034 0.103 0.063 0. 1.326 0.107 0.
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 14 20 0 45 12 0
normalized size 1 1. 0.61 0.87 0. 1.96 0.52 0.
time (sec) N/A 0.026 0.007 0.061 0. 1.339 0.1 0.
Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 12 11 16 22 8 16
normalized size 1 1. 1.09 1. 1.45 2. 0.73 1.45
time (sec) N/A 0.005 0.006 0.046 0.956 1.315 0.081 1.131
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 29 30 39 68 26 45
normalized size 1 1. 0.74 0.77 1. 1.74 0.67 1.15
time (sec) N/A 0.018 0.006 0.047 0.968 1.318 0.098 1.152
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 42 82 0 111 46 104
normalized size 1 1. 0.95 1.86 0. 2.52 1.05 2.36
time (sec) N/A 0.035 0.013 0.073 0. 1.38 0.102 1.294
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 127 279 0 286 94 3352
normalized size 1 1. 1.92 4.23 0. 4.33 1.42 50.79
time (sec) N/A 0.029 0.07 0.102 0. 1.305 0.267 1.296
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 84 136 0 99 39 53
normalized size 1 1. 1.83 2.96 0. 2.15 0.85 1.15
time (sec) N/A 0.031 0.071 0.054 0. 1.387 0.114 1.168
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 12 10 12 47 14 12
normalized size 1 1. 1.33 1.11 1.33 5.22 1.56 1.33
time (sec) N/A 0.009 0.008 0.048 1.443 1.313 0.102 1.117
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 11 15 20 7 15
normalized size 1 1. 1. 1. 1.36 1.82 0.64 1.36
time (sec) N/A 0.005 0.005 0.046 0.975 1.238 0.085 1.142
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 26 34 66 26 34
normalized size 1 1. 1. 0.9 1.17 2.28 0.9 1.17
time (sec) N/A 0.016 0.006 0.045 0.964 1.291 0.1 1.126
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 42 39 0 111 46 0
normalized size 1 1. 0.84 0.78 0. 2.22 0.92 0.
time (sec) N/A 0.023 0.013 0.05 0. 1.351 0.101 0.
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 42 39 0 108 46 0
normalized size 1 1. 0.84 0.78 0. 2.16 0.92 0.
time (sec) N/A 0.023 0.013 0.051 0. 1.266 0.101 0.
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 31 28 36 72 22 46
normalized size 1 1. 1. 0.9 1.16 2.32 0.71 1.48
time (sec) N/A 0.015 0.005 0.046 0.978 1.395 0.099 1.106
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 42 39 0 109 46 0
normalized size 1 1. 0.84 0.78 0. 2.18 0.92 0.
time (sec) N/A 0.023 0.014 0.052 0. 1.422 0.102 0.
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 42 39 0 113 46 0
normalized size 1 1. 0.84 0.78 0. 2.26 0.92 0.
time (sec) N/A 0.024 0.019 0.052 0. 1.38 0.1 0.
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 42 39 0 113 46 0
normalized size 1 1. 0.84 0.78 0. 2.26 0.92 0.
time (sec) N/A 0.022 0.015 0.051 0. 1.358 0.103 0.
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 32 12 34 76 32 39
normalized size 1 1. 2.29 0.86 2.43 5.43 2.29 2.79
time (sec) N/A 0.006 0.007 0.04 1.493 1.282 0.092 1.136
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 31 30 39 72 29 45
normalized size 1 1. 0.79 0.77 1. 1.85 0.74 1.15
time (sec) N/A 0.017 0.006 0.052 0.961 1.372 0.102 1.136
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 42 82 0 116 46 104
normalized size 1 1. 0.88 1.71 0. 2.42 0.96 2.17
time (sec) N/A 0.039 0.019 0.055 0. 1.274 0.104 1.183
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 124 277 0 273 88 0
normalized size 1 1. 2. 4.47 0. 4.4 1.42 0.
time (sec) N/A 0.056 0.056 0.138 0. 1.328 0.258 0.
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 83 136 0 109 41 35
normalized size 1 1. 1.69 2.78 0. 2.22 0.84 0.71
time (sec) N/A 0.088 0.137 0.079 0. 1.311 0.108 1.137
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 81 110 0 109 41 35
normalized size 1 1. 1.88 2.56 0. 2.53 0.95 0.81
time (sec) N/A 0.05 0.067 0.065 0. 1.348 0.108 1.115
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 83 104 0 109 41 35
normalized size 1 1. 1.69 2.12 0. 2.22 0.84 0.71
time (sec) N/A 0.062 0.096 0.069 0. 1.327 0.109 1.136
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 2 2 2 3 3 15 2 3
normalized size 1 1. 1. 1.5 1.5 7.5 1. 1.5
time (sec) N/A 0.002 0.003 0.044 1.435 1.335 0.083 1.105
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 99 34 45 109 41 35
normalized size 1 1. 2.61 0.89 1.18 2.87 1.08 0.92
time (sec) N/A 0.027 0.195 0.045 1.488 1.283 0.105 1.124
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 30 88 53 107 39 53
normalized size 1 1. 0.86 2.51 1.51 3.06 1.11 1.51
time (sec) N/A 0.018 0.013 0.044 1.453 1.375 0.101 1.137
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 12 20 0 34 7 41
normalized size 1 1. 0.52 0.87 0. 1.48 0.3 1.78
time (sec) N/A 0.02 0.007 0.055 0. 1.355 0.102 1.133
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 10 16 14 19 7 15
normalized size 1 1. 0.91 1.45 1.27 1.73 0.64 1.36
time (sec) N/A 0.003 0.004 0.043 1.008 1.275 0.079 1.142
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 29 22 28 62 19 58
normalized size 1 1. 0.45 0.34 0.43 0.95 0.29 0.89
time (sec) N/A 0.032 0.006 0.044 0.954 1.28 0.097 1.138
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 40 70 0 92 39 53
normalized size 1 1. 0.93 1.63 0. 2.14 0.91 1.23
time (sec) N/A 0.033 0.012 0.067 0. 1.351 0.098 1.16
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 40 82 0 100 39 53
normalized size 1 1. 0.87 1.78 0. 2.17 0.85 1.15
time (sec) N/A 0.036 0.012 0.073 0. 1.33 0.102 1.155
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B B F A A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 125 279 0 273 87 0
normalized size 1 1. 2.02 4.5 0. 4.4 1.4 0.
time (sec) N/A 0.029 0.071 0.105 0. 1.356 0.252 0.
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 87 136 0 109 42 35
normalized size 1 1. 1.74 2.72 0. 2.18 0.84 0.7
time (sec) N/A 0.04 0.13 0.058 0. 1.411 0.112 1.139
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 82 111 0 109 42 35
normalized size 1 1. 1.86 2.52 0. 2.48 0.95 0.8
time (sec) N/A 0.029 0.065 0.053 0. 1.313 0.111 1.143
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 10 104 0 42 10 35
normalized size 1 1. 0.26 2.67 0. 1.08 0.26 0.9
time (sec) N/A 0.033 0.007 0.054 0. 1.24 0.098 1.154
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 9 9 9 10 12 18 5 9
normalized size 1 1. 1. 1.11 1.33 2. 0.56 1.
time (sec) N/A 0.004 0.004 0.045 0.98 1.334 0.079 1.113
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 22 28 61 19 47
normalized size 1 1. 1. 0.88 1.12 2.44 0.76 1.88
time (sec) N/A 0.013 0.006 0.043 0.986 1.35 0.097 1.128
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 40 62 46 92 39 46
normalized size 1 1. 0.87 1.35 1. 2. 0.85 1.
time (sec) N/A 0.019 0.011 0.042 1.454 1.37 0.097 1.1
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 40 35 0 100 39 53
normalized size 1 1. 0.87 0.76 0. 2.17 0.85 1.15
time (sec) N/A 0.021 0.013 0.049 0. 1.326 0.101 1.126
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 2 2 19 3 18 45 12 20
normalized size 1 1. 9.5 1.5 9. 22.5 6. 10.
time (sec) N/A 0.002 0.002 0.039 0.969 1.325 0.087 1.144
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 40 34 74 104 39 53
normalized size 1 1. 1.05 0.89 1.95 2.74 1.03 1.39
time (sec) N/A 0.029 0.014 0.043 1.444 1.36 0.103 1.159
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 40 70 0 104 39 53
normalized size 1 1. 0.85 1.49 0. 2.21 0.83 1.13
time (sec) N/A 0.036 0.017 0.053 0. 1.343 0.104 1.159
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 40 82 0 104 39 53
normalized size 1 1. 0.87 1.78 0. 2.26 0.85 1.15
time (sec) N/A 0.035 0.014 0.055 0. 1.392 0.101 1.146
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 99 34 45 113 46 45
normalized size 1 1. 2.3 0.79 1.05 2.63 1.07 1.05
time (sec) N/A 0.035 0.1 0.045 1.458 1.417 0.12 1.125
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 99 34 45 113 46 45
normalized size 1 1. 2.3 0.79 1.05 2.63 1.07 1.05
time (sec) N/A 0.032 0.033 0.043 1.452 1.459 0.124 1.166
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 21 21 27 28 31 92 22 34
normalized size 1 1. 1.29 1.33 1.48 4.38 1.05 1.62
time (sec) N/A 0.005 0.01 0.05 0.988 1.292 0.096 1.162
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 53 26 51 146 53 59
normalized size 1 1. 1.89 0.93 1.82 5.21 1.89 2.11
time (sec) N/A 0.013 0.02 0.045 1.448 1.381 0.49 1.1
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 72 56 69 163 474 81
normalized size 1 1. 2. 1.56 1.92 4.53 13.17 2.25
time (sec) N/A 0.04 0.04 0.049 1.481 1.467 1.05 1.106
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 73 104 0 421 46 55
normalized size 1 1. 0.99 1.41 0. 5.69 0.62 0.74
time (sec) N/A 0.045 0.1 0.064 0. 1.548 0.166 1.12
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A C A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 83 83 97 114 93 223 740 93
normalized size 1 1. 1.17 1.37 1.12 2.69 8.92 1.12
time (sec) N/A 0.055 0.125 0.047 1.476 1.399 0.886 1.13
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A C A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 119 119 147 168 142 474 876 147
normalized size 1 1. 1.24 1.41 1.19 3.98 7.36 1.24
time (sec) N/A 0.091 0.244 0.056 1.461 1.388 1.412 1.138
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 234 111 710 0 7710 122 0
normalized size 1 1. 0.47 3.03 0. 32.95 0.52 0.
time (sec) N/A 0.23 0.116 0.08 0. 2.28 0.899 0.
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 316 316 165 756 0 11750 167 0
normalized size 1 1. 0.52 2.39 0. 37.18 0.53 0.
time (sec) N/A 0.289 0.209 0.403 0. 2.601 1.389 0.
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F C F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 53 199 0 387 0 0
normalized size 1 1. 0.33 1.24 0. 2.42 0. 0.
time (sec) N/A 0.146 0.045 0.104 0. 1.465 0. 0.
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F C F(-2) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 172 172 53 199 0 387 0 0
normalized size 1 1. 0.31 1.16 0. 2.25 0. 0.
time (sec) N/A 0.137 0.035 0.151 0. 1.673 0. 0.
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B B C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 137 285 0 1226 332 2847
normalized size 1 1. 0.86 1.78 0. 7.66 2.08 17.79
time (sec) N/A 0.119 0.091 0.106 0. 2.085 1.81 1.258
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B B C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 136 283 0 1224 330 2847
normalized size 1 1. 0.85 1.77 0. 7.65 2.06 17.79
time (sec) N/A 0.103 0.057 0.103 0. 2.061 1.761 1.258
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 115 92 0 1616 27 0
normalized size 1 1. 1.01 0.81 0. 14.18 0.24 0.
time (sec) N/A 0.076 0.176 0.067 0. 1.817 0.37 0.
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-2) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 115 96 0 682 0 0
normalized size 1 1. 0.94 0.79 0. 5.59 0. 0.
time (sec) N/A 0.08 0.157 0.073 0. 1.671 0. 0.
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A C A C A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 115 89 170 768 143 124
normalized size 1 1. 0.93 0.72 1.37 6.19 1.15 1.
time (sec) N/A 0.077 0.135 0.055 1.511 1.847 0.398 1.158
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 130 190 0 9567 172 0
normalized size 1 1. 0.96 1.4 0. 70.35 1.26 0.
time (sec) N/A 0.104 0.148 0.061 0. 6.157 1.203 0.
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-2) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 138 194 0 2531 0 0
normalized size 1 1. 0.86 1.21 0. 15.82 0. 0.
time (sec) N/A 0.116 0.137 0.097 0. 2.411 0. 0.
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-2) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 414 414 247 404 0 3148 0 0
normalized size 1 1. 0.6 0.98 0. 7.6 0. 0.
time (sec) N/A 0.453 0.197 0.194 0. 3.61 0. 0.
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F B F(-2) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 234 234 163 318 0 3245 0 0
normalized size 1 1. 0.7 1.36 0. 13.87 0. 0.
time (sec) N/A 0.172 0.185 0.092 0. 7.487 0. 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 96 96 103 200 0 0 0 0
normalized size 1 1. 1.07 2.08 0. 0. 0. 0.
time (sec) N/A 0.123 0.136 0.31 0. 0. 0. 0.
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 25 25 19 113 0 0 0 0
normalized size 1 1. 0.76 4.52 0. 0. 0. 0.
time (sec) N/A 0.032 0.053 0.054 0. 0. 0. 0.
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 96 96 103 204 0 0 0 0
normalized size 1 1. 1.07 2.12 0. 0. 0. 0.
time (sec) N/A 0.178 0.165 0.296 0. 0. 0. 0.
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 92 92 107 204 0 0 0 0
normalized size 1 1. 1.16 2.22 0. 0. 0. 0.
time (sec) N/A 0.12 0.132 0.403 0. 0. 0. 0.
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 35 95 0 0 0 0
normalized size 1 1. 1.3 3.52 0. 0. 0. 0.
time (sec) N/A 0.039 0.064 0.05 0. 0. 0. 0.
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 92 92 107 204 0 0 0 0
normalized size 1 1. 1.16 2.22 0. 0. 0. 0.
time (sec) N/A 0.165 0.166 0.291 0. 0. 0. 0.
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 296 296 187 515 0 0 0 0
normalized size 1 1. 0.63 1.74 0. 0. 0. 0.
time (sec) N/A 0.119 0.309 0.075 0. 0. 0. 0.
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 106 106 106 97 127 234 110 127
normalized size 1 1. 1. 0.92 1.2 2.21 1.04 1.2
time (sec) N/A 0.083 0.021 0.042 0.996 1.347 0.078 1.117
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 79 72 96 171 78 96
normalized size 1 1. 1. 0.91 1.22 2.16 0.99 1.22
time (sec) N/A 0.056 0.016 0.042 0.977 1.417 0.073 1.141
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 56 49 65 120 56 68
normalized size 1 1. 1. 0.88 1.16 2.14 1. 1.21
time (sec) N/A 0.032 0.011 0.042 0.976 1.367 0.066 1.125
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 27 35 66 29 38
normalized size 1 1. 1. 0.84 1.09 2.06 0.91 1.19
time (sec) N/A 0.014 0.002 0.041 0.958 1.554 0.057 1.125
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 55 57 0 293 104 59
normalized size 1 1. 1. 1.04 0. 5.33 1.89 1.07
time (sec) N/A 0.035 0.036 0.048 0. 1.939 0.427 1.124
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 78 82 0 455 138 84
normalized size 1 1. 1.05 1.11 0. 6.15 1.86 1.14
time (sec) N/A 0.052 0.051 0.052 0. 1.876 0.64 1.136
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 92 99 0 635 219 104
normalized size 1 1. 0.99 1.06 0. 6.83 2.35 1.12
time (sec) N/A 0.067 0.063 0.053 0. 1.992 0.856 1.122
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 113 122 0 875 204 135
normalized size 1 1. 0.92 0.99 0. 7.11 1.66 1.1
time (sec) N/A 0.114 0.082 0.053 0. 1.992 1.09 1.131
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 133 130 174 304 144 173
normalized size 1 1. 1. 0.98 1.31 2.29 1.08 1.3
time (sec) N/A 0.107 0.022 0.042 1.008 1.642 0.084 1.12
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 97 90 120 215 104 123
normalized size 1 1. 1. 0.93 1.24 2.22 1.07 1.27
time (sec) N/A 0.068 0.018 0.041 1.027 1.485 0.079 1.165
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 60 51 68 123 60 72
normalized size 1 1. 1. 0.85 1.13 2.05 1. 1.2
time (sec) N/A 0.03 0.002 0.041 0.932 1.647 0.067 1.176
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 22 28 47 22 28
normalized size 1 1. 1. 0.88 1.12 1.88 0.88 1.12
time (sec) N/A 0.008 0.001 0.043 1. 1.679 0.06 1.131
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 97 136 0 585 235 142
normalized size 1 1. 0.9 1.26 0. 5.42 2.18 1.31
time (sec) N/A 0.077 0.08 0.047 0. 1.862 0.594 1.105
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 134 170 0 807 314 173
normalized size 1 1. 1.02 1.3 0. 6.16 2.4 1.32
time (sec) N/A 0.188 0.109 0.053 0. 1.865 1.021 1.156
Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 154 211 0 1071 257 196
normalized size 1 1. 0.99 1.36 0. 6.91 1.66 1.26
time (sec) N/A 0.252 0.111 0.053 0. 1.936 1.857 1.195
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 184 184 174 262 0 1366 292 225
normalized size 1 1. 0.95 1.42 0. 7.42 1.59 1.22
time (sec) N/A 0.297 0.143 0.054 0. 2.004 3.058 1.158
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 200 231 0 1697 335 267
normalized size 1 1. 0.9 1.04 0. 7.61 1.5 1.2
time (sec) N/A 0.339 0.191 0.056 0. 1.939 5.932 1.126
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 437 437 444 741 0 6198 500 672
normalized size 1 1. 1.02 1.7 0. 14.18 1.14 1.54
time (sec) N/A 0.453 0.341 0.048 0. 28.782 4.097 1.168
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 370 370 360 572 0 4462 350 547
normalized size 1 1. 0.97 1.55 0. 12.06 0.95 1.48
time (sec) N/A 0.501 0.281 0.049 0. 8.33 2.368 1.171
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 297 297 269 412 0 3004 238 454
normalized size 1 1. 0.91 1.39 0. 10.11 0.8 1.53
time (sec) N/A 0.293 0.262 0.046 0. 3.22 1.501 1.148
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 247 247 183 260 0 1544 109 331
normalized size 1 1. 0.74 1.05 0. 6.25 0.44 1.34
time (sec) N/A 0.152 0.058 0.046 0. 1.971 0.641 1.151
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 185 185 134 128 0 306 20 242
normalized size 1 1. 0.72 0.69 0. 1.65 0.11 1.31
time (sec) N/A 0.111 0.019 0.043 0. 1.999 0.157 1.128
Problem 142 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 336 336 234 363 0 7792 0 458
normalized size 1 1. 0.7 1.08 0. 23.19 0. 1.36
time (sec) N/A 0.27 0.155 0.054 0. 6.77 0. 1.131
Problem 143 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 453 453 362 650 0 16741 0 698
normalized size 1 1. 0.8 1.43 0. 36.96 0. 1.54
time (sec) N/A 0.384 0.494 0.056 0. 121.687 0. 1.259
Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 363 363 371 624 0 4196 352 574
normalized size 1 1. 1.02 1.72 0. 11.56 0.97 1.58
time (sec) N/A 0.41 0.269 0.058 0. 2.412 3.678 1.183
Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 349 349 295 464 0 3308 275 497
normalized size 1 1. 0.85 1.33 0. 9.48 0.79 1.42
time (sec) N/A 0.313 0.172 0.052 0. 2.928 2.122 1.137
Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 275 275 267 303 0 1825 136 369
normalized size 1 1. 0.97 1.1 0. 6.64 0.49 1.34
time (sec) N/A 0.203 0.288 0.05 0. 1.787 1.165 1.126
Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 183 143 0 414 39 262
normalized size 1 1. 0.91 0.71 0. 2.05 0.19 1.3
time (sec) N/A 0.133 0.112 0.049 0. 1.697 0.503 1.11
Problem 148 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 689 689 429 873 0 20650 0 814
normalized size 1 1. 0.62 1.27 0. 29.97 0. 1.18
time (sec) N/A 0.623 0.314 0.061 0. 114.867 0. 1.173
Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F(-1) F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 864 864 540 1169 0 0 0 1146
normalized size 1 1. 0.62 1.35 0. 0. 0. 1.33
time (sec) N/A 0.906 0.624 0.066 0. 0. 0. 1.154
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 388 386 203 506 0 0 214 0
normalized size 1 0.99 0.52 1.3 0. 0. 0.55 0.
time (sec) N/A 0.415 0.216 0.192 0. 0. 4.703 0.
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 326 326 140 388 0 0 173 0
normalized size 1 1. 0.43 1.19 0. 0. 0.53 0.
time (sec) N/A 0.287 0.144 0.052 0. 0. 3.583 0.
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 264 264 120 266 0 0 124 0
normalized size 1 1. 0.45 1.01 0. 0. 0.47 0.
time (sec) N/A 0.129 0.095 0.051 0. 0. 2.729 0.
Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 226 226 77 169 0 0 78 0
normalized size 1 1. 0.34 0.75 0. 0. 0.35 0.
time (sec) N/A 0.069 0.03 0.046 0. 0. 1.651 0.
Problem 154 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 334 334 95 107 0 0 0 0
normalized size 1 1. 0.28 0.32 0. 0. 0. 0.
time (sec) N/A 0.266 0.154 0.191 0. 0. 0. 0.
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 581 581 522 556 0 0 0 0
normalized size 1 1. 0.9 0.96 0. 0. 0. 0.
time (sec) N/A 0.762 0.779 0.197 0. 0. 0. 0.
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 729 729 332 1018 0 0 0 0
normalized size 1 1. 0.46 1.4 0. 0. 0. 0.
time (sec) N/A 1.25 1.121 0.195 0. 0. 0. 0.
Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 213 213 141 360 0 0 180 0
normalized size 1 1. 0.66 1.69 0. 0. 0.85 0.
time (sec) N/A 0.282 0.167 0.291 0. 0. 3.681 0.
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 121 246 0 0 129 0
normalized size 1 1. 0.75 1.52 0. 0. 0.8 0.
time (sec) N/A 0.145 0.105 0.055 0. 0. 2.819 0.
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 77 154 0 0 82 0
normalized size 1 1. 0.62 1.24 0. 0. 0.66 0.
time (sec) N/A 0.089 0.031 0.05 0. 0. 1.708 0.
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 91 97 0 0 0 0
normalized size 1 1. 1.26 1.35 0. 0. 0. 0.
time (sec) N/A 0.041 0.152 0.193 0. 0. 0. 0.
Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 299 299 508 523 0 0 0 0
normalized size 1 1. 1.7 1.75 0. 0. 0. 0.
time (sec) N/A 0.356 0.974 0.368 0. 0. 0. 0.
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 425 425 321 961 0 0 0 0
normalized size 1 1. 0.76 2.26 0. 0. 0. 0.
time (sec) N/A 0.751 1.274 0.286 0. 0. 0. 0.
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 563 563 458 1420 0 0 0 0
normalized size 1 1. 0.81 2.52 0. 0. 0. 0.
time (sec) N/A 1.206 1.997 0.195 0. 0. 0. 0.
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 78 160 0 0 73 0
normalized size 1 1. 0.62 1.27 0. 0. 0.58 0.
time (sec) N/A 0.083 0.035 0.181 0. 0. 1.662 0.
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 92 99 0 0 0 0
normalized size 1 1. 1.26 1.36 0. 0. 0. 0.
time (sec) N/A 0.042 0.15 0.18 0. 0. 0. 0.
Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 86 158 0 0 70 0
normalized size 1 1. 1.59 2.93 0. 0. 1.3 0.
time (sec) N/A 0.049 0.037 0.072 0. 0. 1.796 0.
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 85 165 0 0 76 0
normalized size 1 1. 1.63 3.17 0. 0. 1.46 0.
time (sec) N/A 0.046 0.031 0.071 0. 0. 1.753 0.
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 236 236 80 175 0 0 83 0
normalized size 1 1. 0.34 0.74 0. 0. 0.35 0.
time (sec) N/A 0.069 0.037 0.175 0. 0. 1.636 0.
Problem 169 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 347 347 98 110 0 0 0 0
normalized size 1 1. 0.28 0.32 0. 0. 0. 0.
time (sec) N/A 0.295 0.147 0.178 0. 0. 0. 0.
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 43 79 0 0 0 0
normalized size 1 1. 1.08 1.98 0. 0. 0. 0.
time (sec) N/A 0.063 0.123 0.191 0. 0. 0. 0.
Problem 171 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 310 310 50 86 0 0 0 0
normalized size 1 1. 0.16 0.28 0. 0. 0. 0.
time (sec) N/A 0.273 0.103 0.382 0. 0. 0. 0.
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 59 78 0 0 0 0
normalized size 1 1. 1.48 1.95 0. 0. 0. 0.
time (sec) N/A 0.018 0.125 0.095 0. 0. 0. 0.
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 300 300 65 86 0 0 0 0
normalized size 1 1. 0.22 0.29 0. 0. 0. 0.
time (sec) N/A 0.223 0.112 0.023 0. 0. 0. 0.
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A F F F F F F F
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 112 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.009 0.06 0.144 0. 0. 0. 0.
Problem 175 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 21 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.008 0.076 0.102 0. 0. 0. 0.
Problem 176 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 204 196 136 0 0 0 0 0
normalized size 1 0.96 0.67 0. 0. 0. 0. 0.
time (sec) N/A 0.23 0.067 0.051 0. 0. 0. 0.
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 142 106 0 0 0 119 0
normalized size 1 0.95 0.71 0. 0. 0. 0.79 0.
time (sec) N/A 0.132 0.041 0.04 0. 0. 118.77 0.
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 75 0 0 0 75 0
normalized size 1 1. 0.78 0. 0. 0. 0.78 0.
time (sec) N/A 0.051 0.023 0.028 0. 0. 56.897 0.
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 44 0 0 0 34 0
normalized size 1 1. 1. 0. 0. 0. 0.77 0.
time (sec) N/A 0.01 0.003 0.021 0. 0. 12.409 0.
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 123 123 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.127 0.128 0.042 0. 0. 0. 0.
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 189 189 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.194 0.241 0.053 0. 0. 0. 0.
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 103 86 75 0 0 129 0
normalized size 1 0.95 0.8 0.69 0. 0. 1.19 0.
time (sec) N/A 0.115 0.017 0.105 0. 0. 176.712 0.
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 79 65 56 0 0 94 0
normalized size 1 0.92 0.76 0.65 0. 0. 1.09 0.
time (sec) N/A 0.068 0.011 0.045 0. 0. 99.188 0.
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 37 0 0 61 0
normalized size 1 1. 1. 0.88 0. 0. 1.45 0.
time (sec) N/A 0.021 0.007 0.027 0. 0. 45.966 0.
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 18 17 0 0 29 0
normalized size 1 1. 1. 0.94 0. 0. 1.61 0.
time (sec) N/A 0.004 0.002 0.021 0. 0. 9.933 0.
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 50 50 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.054 0.08 0.043 0. 0. 0. 0.
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 77 77 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.082 0.104 0.056 0. 0. 0. 0.
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 101 101 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.114 0.148 0.072 0. 0. 0. 0.
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 51 42 0 255 75 194
normalized size 1 1. 1. 0.82 0. 5. 1.47 3.8
time (sec) N/A 0.041 0.023 0.006 0. 1.848 0.475 1.183
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 31 0 201 58 166
normalized size 1 1. 1. 0.82 0. 5.29 1.53 4.37
time (sec) N/A 0.034 0.017 0.002 0. 1.85 0.405 1.176
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 22 0 149 34 159
normalized size 1 1. 1. 0.76 0. 5.14 1.17 5.48
time (sec) N/A 0.023 0.009 0.004 0. 1.879 0.359 1.155
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 16 0 151 46 157
normalized size 1 1. 1. 0.67 0. 6.29 1.92 6.54
time (sec) N/A 0.012 0.004 0.003 0. 1.904 0.187 1.166
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 65 55 0 421 226 0
normalized size 1 1. 0.9 0.76 0. 5.85 3.14 0.
time (sec) N/A 0.057 0.034 0.016 0. 1.854 0.654 0.
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B B F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 76 73 0 608 255 0
normalized size 1 1. 0.85 0.82 0. 6.83 2.87 0.
time (sec) N/A 0.083 0.058 0.01 0. 1.828 0.907 0.
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 61 1442 0 491 0 32
normalized size 1 1. 0.98 23.26 0. 7.92 0. 0.52
time (sec) N/A 0.044 0.028 0.054 0. 2.056 0. 1.175
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 986 0 340 0 177
normalized size 1 1. 1. 25.95 0. 8.95 0. 4.66
time (sec) N/A 0.026 0.157 0.027 0. 2.156 0. 1.454
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 108 441 0 490 0 1
normalized size 1 1. 1.77 7.23 0. 8.03 0. 0.02
time (sec) N/A 0.039 0.127 0.023 0. 2.017 0. 1.228
Problem 198 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 80 80 345 911 0 632 0 0
normalized size 1 1. 4.31 11.39 0. 7.9 0. 0.
time (sec) N/A 0.069 1.682 0.022 0. 2.102 0. 0.
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 98 132 0 549 0 0
normalized size 1 1. 0.64 0.86 0. 3.59 0. 0.
time (sec) N/A 0.055 0.165 0.089 0. 2.086 0. 0.
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 86 107 0 489 0 0
normalized size 1 1. 0.78 0.97 0. 4.45 0. 0.
time (sec) N/A 0.035 0.074 0.02 0. 2.102 0. 0.
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 50 69 0 270 0 0
normalized size 1 1. 0.77 1.06 0. 4.15 0. 0.
time (sec) N/A 0.022 0.043 0.02 0. 1.989 0. 0.
Problem 202 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 78 78 78 249 0 359 0 0
normalized size 1 1. 1. 3.19 0. 4.6 0. 0.
time (sec) N/A 0.036 0.054 0.043 0. 2.165 0. 0.
Problem 203 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 125 125 111 488 0 655 0 0
normalized size 1 1. 0.89 3.9 0. 5.24 0. 0.
time (sec) N/A 0.051 0.084 0.063 0. 2.238 0. 0.
Problem 204 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 168 168 123 711 0 801 0 0
normalized size 1 1. 0.73 4.23 0. 4.77 0. 0.
time (sec) N/A 0.086 0.108 0.054 0. 1.873 0. 0.
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 152 152 123 105 0 551 0 0
normalized size 1 1. 0.81 0.69 0. 3.62 0. 0.
time (sec) N/A 0.055 0.201 0.017 0. 1.995 0. 0.
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 110 85 0 490 0 0
normalized size 1 1. 1.01 0.78 0. 4.5 0. 0.
time (sec) N/A 0.035 0.115 0.016 0. 1.974 0. 0.
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 67 54 0 269 0 0
normalized size 1 1. 1.05 0.84 0. 4.2 0. 0.
time (sec) N/A 0.025 0.041 0.014 0. 1.941 0. 0.
Problem 208 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 77 77 77 267 0 359 0 0
normalized size 1 1. 1. 3.47 0. 4.66 0. 0.
time (sec) N/A 0.036 0.051 0.057 0. 2. 0. 0.
Problem 209 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 124 124 110 510 0 660 0 0
normalized size 1 1. 0.89 4.11 0. 5.32 0. 0.
time (sec) N/A 0.054 0.083 0.041 0. 2.353 0. 0.
Problem 210 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 167 167 122 739 0 803 0 0
normalized size 1 1. 0.73 4.43 0. 4.81 0. 0.
time (sec) N/A 0.087 0.107 0.05 0. 2.392 0. 0.
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 38 25 0 165 0 0
normalized size 1 1. 1.27 0.83 0. 5.5 0. 0.
time (sec) N/A 0.01 0.023 0.01 0. 2.219 0. 0.
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 40 34 33 0 165 0 0
normalized size 1 1.67 1.42 1.38 0. 6.88 0. 0.
time (sec) N/A 0.011 0.02 0.01 0. 2.084 0. 0.
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 72 71 59 0 331 0 0
normalized size 1 0.99 0.97 0.81 0. 4.53 0. 0.
time (sec) N/A 0.118 0.057 0.004 0. 1.922 0. 0.
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 121 226 0 903 343 0
normalized size 1 1. 1. 1.87 0. 7.46 2.83 0.
time (sec) N/A 0.16 0.077 0.01 0. 1.941 0.955 0.
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 84 142 0 632 275 0
normalized size 1 1. 0.98 1.65 0. 7.35 3.2 0.
time (sec) N/A 0.107 0.046 0.004 0. 1.954 0.74 0.
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 63 79 0 424 212 0
normalized size 1 1. 0.98 1.23 0. 6.62 3.31 0.
time (sec) N/A 0.078 0.055 0.003 0. 2.008 0.568 0.
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 48 33 0 279 124 0
normalized size 1 1. 0.98 0.67 0. 5.69 2.53 0.
time (sec) N/A 0.029 0.013 0.003 0. 1.603 0.218 0.
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 133 155 0 1829 2664 0
normalized size 1 1. 0.98 1.14 0. 13.45 19.59 0.
time (sec) N/A 0.178 0.208 0.02 0. 2.546 22.464 0.
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-1) F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 177 319 0 3611 0 0
normalized size 1 1. 0.95 1.71 0. 19.31 0. 0.
time (sec) N/A 0.278 0.425 0.013 0. 7.545 0. 0.
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 139 139 134 7043 0 2303 0 0
normalized size 1 1. 0.96 50.67 0. 16.57 0. 0.
time (sec) N/A 0.276 0.264 0.05 0. 4.713 0. 0.
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 103 4308 0 1985 0 0
normalized size 1 1. 0.95 39.89 0. 18.38 0. 0.
time (sec) N/A 0.126 0.088 0.02 0. 2.559 0. 0.
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 76 2252 0 907 0 0
normalized size 1 1. 1. 29.63 0. 11.93 0. 0.
time (sec) N/A 0.07 0.068 0.02 0. 2.316 0. 0.
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 106 106 418 771 0 1440 0 0
normalized size 1 1. 3.94 7.27 0. 13.58 0. 0.
time (sec) N/A 0.117 0.8 0.018 0. 2.782 0. 0.
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 149 149 1058 1637 0 2169 0 0
normalized size 1 1. 7.1 10.99 0. 14.56 0. 0.
time (sec) N/A 0.269 3.492 0.02 0. 5.156 0. 0.
Problem 225 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 183 183 169 263 0 0 0 0
normalized size 1 1. 0.92 1.44 0. 0. 0. 0.
time (sec) N/A 0.088 0.313 0.174 0. 0. 0. 0.
Problem 226 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 164 164 162 248 0 0 0 0
normalized size 1 1. 0.99 1.51 0. 0. 0. 0.
time (sec) N/A 0.061 0.154 0.006 0. 0. 0. 0.
Problem 227 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 145 145 168 233 0 0 0 0
normalized size 1 1. 1.16 1.61 0. 0. 0. 0.
time (sec) N/A 0.043 0.183 0.006 0. 0. 0. 0.
Problem 228 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 137 137 118 293 0 0 0 0
normalized size 1 1. 0.86 2.14 0. 0. 0. 0.
time (sec) N/A 0.086 0.095 0.052 0. 0. 0. 0.
Problem 229 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 49 49 164 224 0 0 0 0
normalized size 1 1. 3.35 4.57 0. 0. 0. 0.
time (sec) N/A 0.011 0.353 0.017 0. 0. 0. 0.
Problem 230 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 93 93 176 333 0 0 0 0
normalized size 1 1. 1.89 3.58 0. 0. 0. 0.
time (sec) N/A 0.508 0.302 0.022 0. 0. 0. 0.
Problem 231 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 166 166 240 438 0 0 0 0
normalized size 1 1. 1.45 2.64 0. 0. 0. 0.
time (sec) N/A 0.615 0.419 0.024 0. 0. 0. 0.
Problem 232 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 159 159 157 233 0 0 0 0
normalized size 1 1. 0.99 1.47 0. 0. 0. 0.
time (sec) N/A 0.071 0.173 0.027 0. 0. 0. 0.
Problem 233 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 137 137 143 218 0 0 0 0
normalized size 1 1. 1.04 1.59 0. 0. 0. 0.
time (sec) N/A 0.045 0.137 0.007 0. 0. 0. 0.
Problem 234 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 115 115 94 205 0 0 0 0
normalized size 1 1. 0.82 1.78 0. 0. 0. 0.
time (sec) N/A 0.022 0.07 0.005 0. 0. 0. 0.
Problem 235 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 69 69 73 104 0 0 0 0
normalized size 1 1. 1.06 1.51 0. 0. 0. 0.
time (sec) N/A 0.059 0.069 0.016 0. 0. 0. 0.
Problem 236 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 118 118 226 397 0 0 0 0
normalized size 1 1. 1.92 3.36 0. 0. 0. 0.
time (sec) N/A 0.135 0.407 0.019 0. 0. 0. 0.
Problem 237 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 142 142 235 418 0 0 0 0
normalized size 1 1. 1.65 2.94 0. 0. 0. 0.
time (sec) N/A 0.277 0.332 0.021 0. 0. 0. 0.
Problem 238 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 144 144 0 268 0 0 0 0
normalized size 1 1. 0. 1.86 0. 0. 0. 0.
time (sec) N/A 0.045 0. 0.033 0. 0. 0. 0.
Problem 239 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 98 98 0 268 0 0 0 0
normalized size 1 1. 0. 2.73 0. 0. 0. 0.
time (sec) N/A 0.025 0. 0.007 0. 0. 0. 0.
Problem 240 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 96 96 0 247 0 0 0 0
normalized size 1 1. 0. 2.57 0. 0. 0. 0.
time (sec) N/A 0.021 0. 0.007 0. 0. 0. 0.
Problem 241 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 166 166 204 398 0 0 0 0
normalized size 1 1. 1.23 2.4 0. 0. 0. 0.
time (sec) N/A 0.104 0.213 0.017 0. 0. 0. 0.
Problem 242 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 111 111 168 419 0 0 0 0
normalized size 1 1. 1.51 3.77 0. 0. 0. 0.
time (sec) N/A 0.278 0.379 0.025 0. 0. 0. 0.
Problem 243 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 190 190 192 439 0 0 0 0
normalized size 1 1. 1.01 2.31 0. 0. 0. 0.
time (sec) N/A 0.571 0.336 0.024 0. 0. 0. 0.
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 135 136 182 355 156 192
normalized size 1 1. 1. 1.01 1.35 2.63 1.16 1.42
time (sec) N/A 0.126 0.038 0. 0.973 1.349 0.093 1.203
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 104 103 138 263 112 146
normalized size 1 1. 1.01 1. 1.34 2.55 1.09 1.42
time (sec) N/A 0.095 0.029 0. 0.982 1.388 0.084 1.136
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 73 70 93 185 78 103
normalized size 1 1. 1. 0.96 1.27 2.53 1.07 1.41
time (sec) N/A 0.06 0.02 0. 0.969 1.368 0.078 1.157
Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 37 49 104 39 58
normalized size 1 1. 1. 0.88 1.17 2.48 0.93 1.38
time (sec) N/A 0.027 0.008 0. 0.95 1.382 0.063 1.138
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 65 84 0 347 117 76
normalized size 1 1. 0.98 1.27 0. 5.26 1.77 1.15
time (sec) N/A 0.045 0.051 0.003 0. 1.637 0.64 1.262
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 88 118 0 541 153 101
normalized size 1 1. 1.06 1.42 0. 6.52 1.84 1.22
time (sec) N/A 0.093 0.056 0.008 0. 1.628 1.063 1.155
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 110 131 0 813 196 136
normalized size 1 1. 0.96 1.14 0. 7.07 1.7 1.18
time (sec) N/A 0.107 0.097 0.008 0. 1.573 1.808 1.137
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 142 158 0 1091 241 181
normalized size 1 1. 0.95 1.05 0. 7.27 1.61 1.21
time (sec) N/A 0.205 0.132 0.01 0. 1.674 3.32 1.172
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 223 223 223 219 294 620 272 344
normalized size 1 1. 1. 0.98 1.32 2.78 1.22 1.54
time (sec) N/A 0.199 0.09 0.002 0.954 1.372 0.107 1.14
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 155 155 156 155 198 436 192 244
normalized size 1 1. 1.01 1. 1.28 2.81 1.24 1.57
time (sec) N/A 0.141 0.054 0.001 0.975 1.433 0.095 1.135
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 96 96 96 91 122 252 107 143
normalized size 1 1. 1. 0.95 1.27 2.62 1.11 1.49
time (sec) N/A 0.068 0.024 0. 0.966 1.336 0.081 1.187
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 42 61 104 48 58
normalized size 1 1. 1. 0.86 1.24 2.12 0.98 1.18
time (sec) N/A 0.025 0.006 0. 0.964 1.347 0.068 1.107
Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 144 267 0 892 366 250
normalized size 1 1. 1.01 1.87 0. 6.24 2.56 1.75
time (sec) N/A 0.14 0.065 0.005 0. 1.619 1.268 1.144
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 166 166 183 320 0 1272 479 279
normalized size 1 1. 1.1 1.93 0. 7.66 2.89 1.68
time (sec) N/A 0.298 0.103 0.013 0. 1.715 3.274 1.123
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 201 201 217 402 0 1694 396 329
normalized size 1 1. 1.08 2. 0. 8.43 1.97 1.64
time (sec) N/A 0.419 0.115 0.012 0. 1.724 17.105 1.132
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 267 506 0 2130 457 400
normalized size 1 1. 1.07 2.02 0. 8.52 1.83 1.6
time (sec) N/A 0.543 0.15 0.011 0. 1.69 110.179 1.114
Problem 260 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 317 317 345 412 0 2766 0 491
normalized size 1 1. 1.09 1.3 0. 8.73 0. 1.55
time (sec) N/A 0.65 0.229 0.012 0. 1.777 0. 1.169
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 88 118 0 541 153 101
normalized size 1 1. 1.06 1.42 0. 6.52 1.84 1.22
time (sec) N/A 0.093 0.047 0. 0. 1.653 1.036 1.155
Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 88 118 0 541 153 101
normalized size 1 1. 1.06 1.42 0. 6.52 1.84 1.22
time (sec) N/A 0.084 0.017 0.007 0. 1.585 1.07 1.193
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 459 459 570 1888 0 0 0 0
normalized size 1 1. 1.24 4.11 0. 0. 0. 0.
time (sec) N/A 1.537 0.711 0.062 0. 0. 0. 0.
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 316 316 402 1211 0 19539 0 0
normalized size 1 1. 1.27 3.83 0. 61.83 0. 0.
time (sec) N/A 0.786 0.575 0.036 0. 152.596 0. 0.
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B B F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 238 238 269 695 0 9230 920 0
normalized size 1 1. 1.13 2.92 0. 38.78 3.87 0.
time (sec) N/A 0.635 0.332 0.027 0. 13.603 45.21 0.
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 172 328 0 3055 314 6479
normalized size 1 1. 0.99 1.89 0. 17.56 1.8 37.24
time (sec) N/A 0.202 0.145 0.019 0. 2.288 4.925 2.491
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F B A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 129 116 0 1323 87 1365
normalized size 1 1. 0.86 0.77 0. 8.82 0.58 9.1
time (sec) N/A 0.098 0.086 0.013 0. 2.065 0.906 1.418
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 254 254 274 480 0 0 0 0
normalized size 1 1. 1.08 1.89 0. 0. 0. 0.
time (sec) N/A 0.586 0.287 0.023 0. 0. 0. 0.
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 429 429 354 1141 0 0 0 0
normalized size 1 1. 0.83 2.66 0. 0. 0. 0.
time (sec) N/A 1.415 0.825 0.03 0. 0. 0. 0.
Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 563 563 540 1846 0 0 0 0
normalized size 1 1. 0.96 3.28 0. 0. 0. 0.
time (sec) N/A 3.519 1.712 0.047 0. 0. 0. 0.
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-1) B F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 386 386 415 1223 0 14976 0 0
normalized size 1 1. 1.08 3.17 0. 38.8 0. 0.
time (sec) N/A 2.079 1.187 0.039 0. 40.587 0. 0.
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B B F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 293 293 310 1761 0 9543 1180 0
normalized size 1 1. 1.06 6.01 0. 32.57 4.03 0.
time (sec) N/A 0.789 0.806 0.08 0. 6.946 60.3 0.
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B A F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 252 252 243 733 0 4918 394 0
normalized size 1 1. 0.96 2.91 0. 19.52 1.56 0.
time (sec) N/A 0.517 0.443 0.054 0. 2.163 4.414 0.
Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 660 660 708 3841 0 0 0 0
normalized size 1 1. 1.07 5.82 0. 0. 0. 0.
time (sec) N/A 2.873 3.043 0.074 0. 0. 0. 0.
Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) F(-1) F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 1077 1077 1020 5709 0 0 0 0
normalized size 1 1. 0.95 5.3 0. 0. 0. 0.
time (sec) N/A 12.639 6.289 0.082 0. 0. 0. 0.
Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 190 283 0 882 505 243
normalized size 1 1. 0.88 1.32 0. 4.1 2.35 1.13
time (sec) N/A 0.161 0.402 0.008 0. 5.982 55.099 1.214
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 175 175 157 229 0 701 413 196
normalized size 1 1. 0.9 1.31 0. 4.01 2.36 1.12
time (sec) N/A 0.122 0.33 0.008 0. 4.948 28.138 1.135
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 121 175 0 533 272 143
normalized size 1 1. 0.92 1.33 0. 4.04 2.06 1.08
time (sec) N/A 0.109 0.238 0.01 0. 4.963 11.074 1.133
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 82 122 0 408 230 107
normalized size 1 1. 0.85 1.26 0. 4.21 2.37 1.1
time (sec) N/A 0.061 0.063 0.007 0. 4.697 6.374 1.176
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 98 112 0 552 134 108
normalized size 1 1. 1.1 1.26 0. 6.2 1.51 1.21
time (sec) N/A 0.073 0.107 0.007 0. 4.298 7.825 1.211
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 112 124 0 612 450 119
normalized size 1 1. 1.11 1.23 0. 6.06 4.46 1.18
time (sec) N/A 0.071 0.194 0.009 0. 4.888 18.452 1.124
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 67 66 234 198 639 101
normalized size 1 1. 0.78 0.77 2.72 2.3 7.43 1.17
time (sec) N/A 0.107 0.051 0.006 0.952 4.72 56.603 1.162
Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 126 126 101 100 306 294 1989 153
normalized size 1 1. 0.8 0.79 2.43 2.33 15.79 1.21
time (sec) N/A 0.146 0.095 0.006 0.996 5.136 145.542 1.176
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 165 164 132 136 379 386 0 200
normalized size 1 0.99 0.8 0.82 2.3 2.34 0. 1.21
time (sec) N/A 0.21 0.119 0.005 0.99 6.216 0. 1.143
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 210 210 167 172 452 502 0 255
normalized size 1 1. 0.8 0.82 2.15 2.39 0. 1.21
time (sec) N/A 0.222 0.145 0.006 0.989 7.455 0. 1.198
Problem 286 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 193 193 119 172 0 0 0 0
normalized size 1 1. 0.62 0.89 0. 0. 0. 0.
time (sec) N/A 0.099 0.101 0.027 0. 0. 0. 0.
Problem 287 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 168 168 114 155 0 0 0 0
normalized size 1 1. 0.68 0.92 0. 0. 0. 0.
time (sec) N/A 0.068 0.079 0.007 0. 0. 0. 0.
Problem 288 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 149 149 109 137 0 0 0 0
normalized size 1 1. 0.73 0.92 0. 0. 0. 0.
time (sec) N/A 0.048 0.062 0.007 0. 0. 0. 0.
Problem 289 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 141 141 102 121 0 0 0 0
normalized size 1 1. 0.72 0.86 0. 0. 0. 0.
time (sec) N/A 0.042 0.034 0.004 0. 0. 0. 0.
Problem 290 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 178 232 90 138 0 0 0 0
normalized size 1 1.3 0.51 0.78 0. 0. 0. 0.
time (sec) N/A 0.124 0.141 0.026 0. 0. 0. 0.
Problem 291 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 209 209 208 162 0 0 0 0
normalized size 1 1. 1. 0.78 0. 0. 0. 0.
time (sec) N/A 0.123 0.268 0.02 0. 0. 0. 0.
Problem 292 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 237 237 174 186 0 0 0 0
normalized size 1 1. 0.73 0.78 0. 0. 0. 0.
time (sec) N/A 0.595 0.342 0.018 0. 0. 0. 0.
Problem 293 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 219 219 0 206 0 0 0 0
normalized size 1 1. 0. 0.94 0. 0. 0. 0.
time (sec) N/A 0.124 0. 0.017 0. 0. 0. 0.
Problem 294 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 198 198 0 189 0 0 0 0
normalized size 1 1. 0. 0.95 0. 0. 0. 0.
time (sec) N/A 0.086 0. 0.008 0. 0. 0. 0.
Problem 295 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 179 179 0 172 0 0 0 0
normalized size 1 1. 0. 0.96 0. 0. 0. 0.
time (sec) N/A 0.064 0. 0.005 0. 0. 0. 0.
Problem 296 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 172 172 114 155 0 0 0 0
normalized size 1 1. 0.66 0.9 0. 0. 0. 0.
time (sec) N/A 0.058 0.042 0.003 0. 0. 0. 0.
Problem 297 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 207 207 148 170 0 0 0 0
normalized size 1 1. 0.71 0.82 0. 0. 0. 0.
time (sec) N/A 0.199 0.176 0.014 0. 0. 0. 0.
Problem 298 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 222 333 213 177 0 0 0 0
normalized size 1 1.5 0.96 0.8 0. 0. 0. 0.
time (sec) N/A 0.444 0.291 0.019 0. 0. 0. 0.
Problem 299 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 231 288 174 186 0 0 0 0
normalized size 1 1.25 0.75 0.81 0. 0. 0. 0.
time (sec) N/A 0.668 0.375 0.02 0. 0. 0. 0.
Problem 300 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 157 157 106 138 0 0 0 0
normalized size 1 1. 0.68 0.88 0. 0. 0. 0.
time (sec) N/A 0.084 0.102 0.016 0. 0. 0. 0.
Problem 301 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 142 142 104 121 0 0 0 0
normalized size 1 1. 0.73 0.85 0. 0. 0. 0.
time (sec) N/A 0.054 0.088 0.007 0. 0. 0. 0.
Problem 302 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 121 121 69 106 0 0 0 0
normalized size 1 1. 0.57 0.88 0. 0. 0. 0.
time (sec) N/A 0.032 0.061 0.004 0. 0. 0. 0.
Problem 303 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 48 48 50 46 0 0 0 0
normalized size 1 1. 1.04 0.96 0. 0. 0. 0.
time (sec) N/A 0.006 0.015 0.003 0. 0. 0. 0.
Problem 304 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 106 106 55 47 0 0 0 0
normalized size 1 1. 0.52 0.44 0. 0. 0. 0.
time (sec) N/A 0.072 0.094 0.012 0. 0. 0. 0.
Problem 305 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 209 209 208 162 0 0 0 0
normalized size 1 1. 1. 0.78 0. 0. 0. 0.
time (sec) N/A 0.188 0.258 0.016 0. 0. 0. 0.
Problem 306 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 237 237 186 186 0 0 0 0
normalized size 1 1. 0.78 0.78 0. 0. 0. 0.
time (sec) N/A 0.25 0.334 0.017 0. 0. 0. 0.
Problem 307 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 189 189 0 274 0 0 0 0
normalized size 1 1. 0. 1.45 0. 0. 0. 0.
time (sec) N/A 0.113 0. 0.031 0. 0. 0. 0.
Problem 308 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 170 170 0 234 0 0 0 0
normalized size 1 1. 0. 1.38 0. 0. 0. 0.
time (sec) N/A 0.083 0. 0.007 0. 0. 0. 0.
Problem 309 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 149 149 0 196 0 0 0 0
normalized size 1 1. 0. 1.32 0. 0. 0. 0.
time (sec) N/A 0.052 0. 0.006 0. 0. 0. 0.
Problem 310 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 149 149 0 173 0 0 0 0
normalized size 1 1. 0. 1.16 0. 0. 0. 0.
time (sec) N/A 0.051 0. 0.007 0. 0. 0. 0.
Problem 311 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 145 145 0 150 0 0 0 0
normalized size 1 1. 0. 1.03 0. 0. 0. 0.
time (sec) N/A 0.041 0. 0.004 0. 0. 0. 0.
Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 99 129 0 0 0 0
normalized size 1 1. 0.66 0.87 0. 0. 0. 0.
time (sec) N/A 0.042 0.04 0.003 0. 0. 0. 0.
Problem 313 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 173 207 138 161 0 0 0 0
normalized size 1 1.2 0.8 0.93 0. 0. 0. 0.
time (sec) N/A 0.141 0.17 0.015 0. 0. 0. 0.
Problem 314 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 235 235 208 185 0 0 0 0
normalized size 1 1. 0.89 0.79 0. 0. 0. 0.
time (sec) N/A 0.429 0.274 0.019 0. 0. 0. 0.
Problem 315 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 263 263 159 209 0 0 0 0
normalized size 1 1. 0.6 0.79 0. 0. 0. 0.
time (sec) N/A 0.76 0.489 0.023 0. 0. 0. 0.
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 112 193 0 0 0 0
normalized size 1 1. 0.97 1.66 0. 0. 0. 0.
time (sec) N/A 0.112 0.126 0.032 0. 0. 0. 0.
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 107 176 0 0 0 0
normalized size 1 1. 1.13 1.85 0. 0. 0. 0.
time (sec) N/A 0.087 0.102 0.008 0. 0. 0. 0.
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 102 159 0 0 0 0
normalized size 1 1. 1.38 2.15 0. 0. 0. 0.
time (sec) N/A 0.061 0.089 0.009 0. 0. 0. 0.
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 94 141 0 0 0 0
normalized size 1 1. 2.04 3.07 0. 0. 0. 0.
time (sec) N/A 0.046 0.081 0.006 0. 0. 0. 0.
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 90 125 0 0 0 0
normalized size 1 1. 2.05 2.84 0. 0. 0. 0.
time (sec) N/A 0.04 0.045 0.003 0. 0. 0. 0.
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 51 141 0 0 0 0
normalized size 1 1. 1.11 3.07 0. 0. 0. 0.
time (sec) N/A 0.079 0.13 0.013 0. 0. 0. 0.
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 196 165 0 0 0 0
normalized size 1 1. 2.65 2.23 0. 0. 0. 0.
time (sec) N/A 0.08 0.277 0.02 0. 0. 0. 0.
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 244 189 0 0 0 0
normalized size 1 1. 2.39 1.85 0. 0. 0. 0.
time (sec) N/A 0.414 0.354 0.021 0. 0. 0. 0.
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F A F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 142 142 0 227 0 0 0 0
normalized size 1 1. 0. 1.6 0. 0. 0. 0.
time (sec) N/A 0.132 0. 0.023 0. 0. 0. 0.
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F A F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 121 121 0 210 0 0 0 0
normalized size 1 1. 0. 1.74 0. 0. 0. 0.
time (sec) N/A 0.101 0. 0.007 0. 0. 0. 0.
Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 100 100 0 193 0 0 0 0
normalized size 1 1. 0. 1.93 0. 0. 0. 0.
time (sec) N/A 0.074 0. 0.008 0. 0. 0. 0.
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 81 81 0 176 0 0 0 0
normalized size 1 1. 0. 2.17 0. 0. 0. 0.
time (sec) N/A 0.055 0. 0.006 0. 0. 0. 0.
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 102 159 0 0 0 0
normalized size 1 1. 1.38 2.15 0. 0. 0. 0.
time (sec) N/A 0.052 0.053 0.003 0. 0. 0. 0.
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 130 173 0 0 0 0
normalized size 1 1. 1.81 2.4 0. 0. 0. 0.
time (sec) N/A 0.136 0.196 0.015 0. 0. 0. 0.
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 201 180 0 0 0 0
normalized size 1 1. 2.16 1.94 0. 0. 0. 0.
time (sec) N/A 0.32 0.314 0.021 0. 0. 0. 0.
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 244 189 0 0 0 0
normalized size 1 1. 2.39 1.85 0. 0. 0. 0.
time (sec) N/A 0.497 0.423 0.018 0. 0. 0. 0.
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 97 142 0 0 0 0
normalized size 1 1. 1.49 2.18 0. 0. 0. 0.
time (sec) N/A 0.076 0.113 0.018 0. 0. 0. 0.
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 92 125 0 0 0 0
normalized size 1 1. 2. 2.72 0. 0. 0. 0.
time (sec) N/A 0.051 0.097 0.007 0. 0. 0. 0.
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 34 110 0 0 0 0
normalized size 1 1. 1.36 4.4 0. 0. 0. 0.
time (sec) N/A 0.038 0.059 0.005 0. 0. 0. 0.
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 19 47 0 0 0 0
normalized size 1 1. 1.9 4.7 0. 0. 0. 0.
time (sec) N/A 0.011 0.015 0.004 0. 0. 0. 0.
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 24 48 0 0 0 0
normalized size 1 1. 1.41 2.82 0. 0. 0. 0.
time (sec) N/A 0.033 0.097 0.01 0. 0. 0. 0.
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 196 165 0 0 0 0
normalized size 1 1. 2.65 2.23 0. 0. 0. 0.
time (sec) N/A 0.134 0.279 0.016 0. 0. 0. 0.
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 108 189 0 0 0 0
normalized size 1 1. 1.06 1.85 0. 0. 0. 0.
time (sec) N/A 0.192 0.405 0.019 0. 0. 0. 0.
Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 93 93 0 280 0 0 0 0
normalized size 1 1. 0. 3.01 0. 0. 0. 0.
time (sec) N/A 0.101 0. 0.033 0. 0. 0. 0.
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 74 74 0 240 0 0 0 0
normalized size 1 1. 0. 3.24 0. 0. 0. 0.
time (sec) N/A 0.076 0. 0.008 0. 0. 0. 0.
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 55 55 0 202 0 0 0 0
normalized size 1 1. 0. 3.67 0. 0. 0. 0.
time (sec) N/A 0.051 0. 0.008 0. 0. 0. 0.
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 55 55 0 179 0 0 0 0
normalized size 1 1. 0. 3.25 0. 0. 0. 0.
time (sec) N/A 0.051 0. 0.007 0. 0. 0. 0.
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 55 55 0 156 0 0 0 0
normalized size 1 1. 0. 2.84 0. 0. 0. 0.
time (sec) N/A 0.045 0. 0.006 0. 0. 0. 0.
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F B F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 55 55 0 133 0 0 0 0
normalized size 1 1. 0. 2.42 0. 0. 0. 0.
time (sec) N/A 0.041 0. 0.004 0. 0. 0. 0.
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 101 164 0 0 0 0
normalized size 1 1. 1.4 2.28 0. 0. 0. 0.
time (sec) N/A 0.09 0.212 0.014 0. 0. 0. 0.
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 196 188 0 0 0 0
normalized size 1 1. 1.96 1.88 0. 0. 0. 0.
time (sec) N/A 0.297 0.325 0.02 0. 0. 0. 0.
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 244 212 0 0 0 0
normalized size 1 1. 1.91 1.66 0. 0. 0. 0.
time (sec) N/A 0.57 0.402 0.023 0. 0. 0. 0.
Problem 348 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 242 242 354 292 0 0 0 0
normalized size 1 1. 1.46 1.21 0. 0. 0. 0.
time (sec) N/A 0.15 0.588 0.148 0. 0. 0. 0.
Problem 349 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 221 221 349 275 0 0 0 0
normalized size 1 1. 1.58 1.24 0. 0. 0. 0.
time (sec) N/A 0.112 0.515 0.011 0. 0. 0. 0.
Problem 350 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 198 198 343 258 0 0 0 0
normalized size 1 1. 1.73 1.3 0. 0. 0. 0.
time (sec) N/A 0.077 0.473 0.009 0. 0. 0. 0.
Problem 351 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 177 177 338 240 0 0 0 0
normalized size 1 1. 1.91 1.36 0. 0. 0. 0.
time (sec) N/A 0.054 0.437 0.007 0. 0. 0. 0.
Problem 352 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 169 169 331 224 0 0 0 0
normalized size 1 1. 1.96 1.33 0. 0. 0. 0.
time (sec) N/A 0.051 0.354 0.003 0. 0. 0. 0.
Problem 353 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 322 322 283 386 0 0 0 0
normalized size 1 1. 0.88 1.2 0. 0. 0. 0.
time (sec) N/A 0.152 0.251 0.051 0. 0. 0. 0.
Problem 354 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 284 284 481 410 0 0 0 0
normalized size 1 1. 1.69 1.44 0. 0. 0. 0.
time (sec) N/A 0.151 0.771 0.023 0. 0. 0. 0.
Problem 355 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 312 312 308 434 0 0 0 0
normalized size 1 1. 0.99 1.39 0. 0. 0. 0.
time (sec) N/A 0.711 0.671 0.024 0. 0. 0. 0.
Problem 356 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 268 268 0 326 0 0 0 0
normalized size 1 1. 0. 1.22 0. 0. 0. 0.
time (sec) N/A 0.174 0. 0.039 0. 0. 0. 0.
Problem 357 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 247 247 0 309 0 0 0 0
normalized size 1 1. 0. 1.25 0. 0. 0. 0.
time (sec) N/A 0.13 0. 0.007 0. 0. 0. 0.
Problem 358 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 226 226 0 292 0 0 0 0
normalized size 1 1. 0. 1.29 0. 0. 0. 0.
time (sec) N/A 0.098 0. 0.007 0. 0. 0. 0.
Problem 359 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 207 207 0 275 0 0 0 0
normalized size 1 1. 0. 1.33 0. 0. 0. 0.
time (sec) N/A 0.071 0. 0.007 0. 0. 0. 0.
Problem 360 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 198 198 343 258 0 0 0 0
normalized size 1 1. 1.73 1.3 0. 0. 0. 0.
time (sec) N/A 0.069 0.418 0.003 0. 0. 0. 0.
Problem 361 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 284 284 477 418 0 0 0 0
normalized size 1 1. 1.68 1.47 0. 0. 0. 0.
time (sec) N/A 0.236 0.718 0.019 0. 0. 0. 0.
Problem 362 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 305 372 309 425 0 0 0 0
normalized size 1 1.22 1.01 1.39 0. 0. 0. 0.
time (sec) N/A 0.534 0.585 0.023 0. 0. 0. 0.
Problem 363 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 440 440 309 434 0 0 0 0
normalized size 1 1. 0.7 0.99 0. 0. 0. 0.
time (sec) N/A 0.8 0.702 0.023 0. 0. 0. 0.
Problem 364 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 187 187 337 241 0 0 0 0
normalized size 1 1. 1.8 1.29 0. 0. 0. 0.
time (sec) N/A 0.093 0.484 0.029 0. 0. 0. 0.
Problem 365 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 170 170 331 224 0 0 0 0
normalized size 1 1. 1.95 1.32 0. 0. 0. 0.
time (sec) N/A 0.059 0.438 0.007 0. 0. 0. 0.
Problem 366 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 151 151 214 209 0 0 0 0
normalized size 1 1. 1.42 1.38 0. 0. 0. 0.
time (sec) N/A 0.036 0.177 0.007 0. 0. 0. 0.
Problem 367 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 64 64 142 85 0 0 0 0
normalized size 1 1. 2.22 1.33 0. 0. 0. 0.
time (sec) N/A 0.007 0.055 0.003 0. 0. 0. 0.
Problem 368 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 168 168 159 107 0 0 0 0
normalized size 1 1. 0.95 0.64 0. 0. 0. 0.
time (sec) N/A 0.082 0.135 0.016 0. 0. 0. 0.
Problem 369 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 286 286 481 410 0 0 0 0
normalized size 1 1. 1.68 1.43 0. 0. 0. 0.
time (sec) N/A 0.225 0.783 0.02 0. 0. 0. 0.
Problem 370 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 314 314 308 434 0 0 0 0
normalized size 1 1. 0.98 1.38 0. 0. 0. 0.
time (sec) N/A 0.29 0.894 0.025 0. 0. 0. 0.
Problem 371 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 219 219 339 379 0 0 0 0
normalized size 1 1. 1.55 1.73 0. 0. 0. 0.
time (sec) N/A 0.121 0.521 0.048 0. 0. 0. 0.
Problem 372 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 200 200 0 339 0 0 0 0
normalized size 1 1. 0. 1.7 0. 0. 0. 0.
time (sec) N/A 0.089 0. 0.007 0. 0. 0. 0.
Problem 373 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 181 181 0 301 0 0 0 0
normalized size 1 1. 0. 1.66 0. 0. 0. 0.
time (sec) N/A 0.059 0. 0.006 0. 0. 0. 0.
Problem 374 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 181 181 0 278 0 0 0 0
normalized size 1 1. 0. 1.54 0. 0. 0. 0.
time (sec) N/A 0.059 0. 0.006 0. 0. 0. 0.
Problem 375 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 181 181 0 255 0 0 0 0
normalized size 1 1. 0. 1.41 0. 0. 0. 0.
time (sec) N/A 0.052 0. 0.004 0. 0. 0. 0.
Problem 376 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 181 181 328 232 0 0 0 0
normalized size 1 1. 1.81 1.28 0. 0. 0. 0.
time (sec) N/A 0.05 0.357 0.004 0. 0. 0. 0.
Problem 377 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 284 284 483 409 0 0 0 0
normalized size 1 1. 1.7 1.44 0. 0. 0. 0.
time (sec) N/A 0.163 0.54 0.018 0. 0. 0. 0.
Problem 378 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 312 312 311 433 0 0 0 0
normalized size 1 1. 1. 1.39 0. 0. 0. 0.
time (sec) N/A 0.505 0.593 0.025 0. 0. 0. 0.
Problem 379 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 340 340 320 457 0 0 0 0
normalized size 1 1. 0.94 1.34 0. 0. 0. 0.
time (sec) N/A 0.872 0.739 0.025 0. 0. 0. 0.
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 467 467 584 1186 0 0 0 0
normalized size 1 1. 1.25 2.54 0. 0. 0. 0.
time (sec) N/A 0.425 2.904 0.066 0. 0. 0. 0.
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 356 356 488 756 0 0 0 0
normalized size 1 1. 1.37 2.12 0. 0. 0. 0.
time (sec) N/A 0.191 1.634 0.009 0. 0. 0. 0.
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 283 283 302 362 0 0 0 0
normalized size 1 1. 1.07 1.28 0. 0. 0. 0.
time (sec) N/A 0.083 0.261 0.003 0. 0. 0. 0.
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 401 401 214 200 0 0 0 0
normalized size 1 1. 0.53 0.5 0. 0. 0. 0.
time (sec) N/A 0.346 0.228 0.03 0. 0. 0. 0.
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 718 718 1069 1279 0 0 0 0
normalized size 1 1. 1.49 1.78 0. 0. 0. 0.
time (sec) N/A 1.081 1.888 0.027 0. 0. 0. 0.
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 553 553 596 1195 0 0 0 0
normalized size 1 1. 1.08 2.16 0. 0. 0. 0.
time (sec) N/A 1.28 2.474 0.058 0. 0. 0. 0.
Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 454 454 503 761 0 0 0 0
normalized size 1 1. 1.11 1.68 0. 0. 0. 0.
time (sec) N/A 0.794 1.396 0.01 0. 0. 0. 0.
Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 385 385 293 364 0 0 0 0
normalized size 1 1. 0.76 0.95 0. 0. 0. 0.
time (sec) N/A 0.337 0.261 0.006 0. 0. 0. 0.
Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 205 201 0 0 0 0
normalized size 1 1. 1.04 1.02 0. 0. 0. 0.
time (sec) N/A 0.157 0.23 0.029 0. 0. 0. 0.
Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 718 718 464 1293 0 0 0 0
normalized size 1 1. 0.65 1.8 0. 0. 0. 0.
time (sec) N/A 1.015 5.593 0.025 0. 0. 0. 0.
Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 479 479 304 355 0 0 0 0
normalized size 1 1. 0.63 0.74 0. 0. 0. 0.
time (sec) N/A 0.475 0.301 0.028 0. 0. 0. 0.
Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 204 204 216 198 0 0 0 0
normalized size 1 1. 1.06 0.97 0. 0. 0. 0.
time (sec) N/A 0.192 0.223 0.024 0. 0. 0. 0.
Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 293 293 295 357 0 0 0 0
normalized size 1 1. 1.01 1.22 0. 0. 0. 0.
time (sec) N/A 0.09 0.311 0.03 0. 0. 0. 0.
Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 412 412 207 199 0 0 0 0
normalized size 1 1. 0.5 0.48 0. 0. 0. 0.
time (sec) N/A 0.363 0.23 0.023 0. 0. 0. 0.
Problem 394 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 229 229 154 380 0 0 0 0
normalized size 1 1. 0.67 1.66 0. 0. 0. 0.
time (sec) N/A 0.154 0.229 0.01 0. 0. 0. 0.
Problem 395 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 168 168 127 235 0 0 0 0
normalized size 1 1. 0.76 1.4 0. 0. 0. 0.
time (sec) N/A 0.074 0.154 0.009 0. 0. 0. 0.
Problem 396 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 122 122 73 108 0 0 0 0
normalized size 1 1. 0.6 0.89 0. 0. 0. 0.
time (sec) N/A 0.034 0.075 0.006 0. 0. 0. 0.
Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 59 55 0 0 0 0
normalized size 1 1. 0.48 0.44 0. 0. 0. 0.
time (sec) N/A 0.091 0.11 0.016 0. 0. 0. 0.
Problem 398 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 316 399 175 443 0 0 0 0
normalized size 1 1.26 0.55 1.4 0. 0. 0. 0.
time (sec) N/A 0.327 0.583 0.026 0. 0. 0. 0.
Problem 399 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.011 0.099 0.074 0. 0. 0. 0.
Problem 400 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 498 498 373 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.814 0.518 0.051 0. 0. 0. 0.
Problem 401 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 358 345 303 0 0 0 0 0
normalized size 1 0.96 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.356 0.354 0.041 0. 0. 0. 0.
Problem 402 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 274 274 232 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.222 0.244 0.025 0. 0. 0. 0.
Problem 403 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 133 133 161 0 0 0 0 0
normalized size 1 1. 1.21 0. 0. 0. 0. 0.
time (sec) N/A 0.058 0.181 0.013 0. 0. 0. 0.
Problem 404 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.011 0.131 0.037 0. 0. 0. 0.
Problem 405 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 26 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.011 0.267 0.053 0. 0. 0. 0.
Problem 406 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C C F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 446 446 258 251 0 0 0 0
normalized size 1 1. 0.58 0.56 0. 0. 0. 0.
time (sec) N/A 0.497 0.695 0.052 0. 0. 0. 0.
Problem 407 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 218 218 719 247 0 0 0 0
normalized size 1 1. 3.3 1.13 0. 0. 0. 0.
time (sec) N/A 0.295 1.227 0.029 0. 0. 0. 0.
Problem 408 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 65 65 685 327 0 953 0 0
normalized size 1 1. 10.54 5.03 0. 14.66 0. 0.
time (sec) N/A 0.145 1.627 0.153 0. 3.567 0. 0.
Problem 409 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 63 63 876 311 0 301 0 0
normalized size 1 1. 13.9 4.94 0. 4.78 0. 0.
time (sec) N/A 0.141 5.614 0.138 0. 2.665 0. 0.
Problem 410 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 72 72 623 336 0 950 0 0
normalized size 1 1. 8.65 4.67 0. 13.19 0. 0.
time (sec) N/A 0.133 1.632 0.143 0. 2.705 0. 0.
Problem 411 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 70 70 881 337 0 302 0 0
normalized size 1 1. 12.59 4.81 0. 4.31 0. 0.
time (sec) N/A 0.129 5.818 0.134 0. 2.683 0. 0.
Problem 412 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 560 560 3652 437 0 0 0 0
normalized size 1 1. 6.52 0.78 0. 0. 0. 0.
time (sec) N/A 0.617 7.824 0.023 0. 0. 0. 0.
Problem 413 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 527 527 3658 439 0 0 0 0
normalized size 1 1. 6.94 0.83 0. 0. 0. 0.
time (sec) N/A 0.717 7.863 0.021 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 [147] had the largest ratio of [ 0.7778 ]

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 9 6 1. 17 0.353
2 A 9 6 1. 18 0.333
3 A 3 3 1. 18 0.167
4 A 3 3 1. 19 0.158
5 A 5 3 1. 17 0.176
6 A 3 2 1. 17 0.118
7 A 2 2 1. 17 0.118
8 A 2 2 1. 17 0.118
9 A 5 3 1. 27 0.111
10 A 3 2 1. 28 0.071
11 A 5 3 1. 21 0.143
12 A 3 2 1. 22 0.091
13 A 3 3 1. 15 0.2
14 A 2 2 1. 22 0.091
15 A 5 5 1. 23 0.217
16 A 3 3 1. 21 0.143
17 A 6 6 1. 22 0.273
18 A 1 1 1. 22 0.045
19 A 3 3 1. 21 0.143
20 A 1 1 1. 23 0.043
21 A 3 3 1. 22 0.136
22 A 1 1 1. 28 0.036
23 A 2 2 1. 24 0.083
24 A 4 4 1. 28 0.143
25 A 5 5 1. 25 0.2
26 A 5 3 1. 26 0.115
27 A 5 3 1. 26 0.115
28 A 5 3 1. 27 0.111
29 A 5 3 1. 27 0.111
30 A 3 2 1. 27 0.074
31 A 3 2 1. 27 0.074
32 A 3 2 1. 28 0.071
33 A 3 2 1. 28 0.071
34 A 3 2 1. 30 0.067
35 A 5 3 1. 29 0.103
36 A 6 4 1. 29 0.138
37 A 3 2 1. 32 0.062
38 A 5 3 1. 31 0.097
39 A 5 3 1. 22 0.136
40 A 5 3 1. 23 0.13
41 A 3 2 1. 22 0.091
42 A 3 2 1. 22 0.091
43 A 3 3 1. 22 0.136
44 A 5 3 1. 22 0.136
45 A 5 3 1. 22 0.136
46 A 5 3 1. 20 0.15
47 A 5 3 1. 17 0.176
48 A 5 3 1. 22 0.136
49 A 5 3 1. 22 0.136
50 A 5 3 1. 22 0.136
51 A 2 2 1. 22 0.091
52 A 7 3 1. 22 0.136
53 A 5 3 1. 22 0.136
54 A 3 2 1. 22 0.091
55 A 3 2 1. 22 0.091
56 A 3 2 1. 22 0.091
57 A 2 2 1. 22 0.091
58 A 3 2 1. 22 0.091
59 A 3 2 1. 22 0.091
60 A 3 2 1. 20 0.1
61 A 3 2 1. 17 0.118
62 A 3 2 1. 22 0.091
63 A 3 2 1. 22 0.091
64 A 3 2 1. 22 0.091
65 A 3 3 1. 22 0.136
66 A 7 3 1. 22 0.136
67 A 5 3 1. 22 0.136
68 A 5 3 1. 18 0.167
69 A 3 2 1. 18 0.111
70 A 3 2 1. 18 0.111
71 A 3 2 1. 18 0.111
72 A 2 2 1. 18 0.111
73 A 5 3 1. 16 0.188
74 A 5 3 1. 13 0.231
75 A 5 3 1. 18 0.167
76 A 2 2 1. 18 0.111
77 A 7 3 1. 18 0.167
78 A 5 3 1. 18 0.167
79 A 5 3 1. 18 0.167
80 A 3 2 1. 20 0.1
81 A 3 2 1. 20 0.1
82 A 3 2 1. 20 0.1
83 A 3 2 1. 20 0.1
84 A 2 2 1. 20 0.1
85 A 3 2 1. 18 0.111
86 A 3 2 1. 15 0.133
87 A 3 2 1. 20 0.1
88 A 3 3 1. 20 0.15
89 A 5 3 1. 20 0.15
90 A 5 3 1. 20 0.15
91 A 5 3 1. 20 0.15
92 A 5 3 1. 23 0.13
93 A 5 3 1. 22 0.136
94 A 3 3 1. 20 0.15
95 A 3 2 1. 22 0.091
96 A 3 2 1. 22 0.091
97 A 3 2 1. 18 0.111
98 A 9 5 1. 18 0.278
99 A 10 6 1. 18 0.333
100 A 9 5 1. 18 0.278
101 A 10 6 1. 18 0.333
102 A 9 5 1. 29 0.172
103 A 9 5 1. 26 0.192
104 A 9 5 1. 24 0.208
105 A 9 5 1. 22 0.227
106 A 9 5 1. 25 0.2
107 A 9 5 1. 31 0.161
108 A 9 5 1. 32 0.156
109 A 9 5 1. 23 0.217
110 A 9 5 1. 25 0.2
111 A 9 5 1. 29 0.172
112 A 9 5 1. 32 0.156
113 A 4 4 1. 22 0.182
114 A 5 5 1. 24 0.208
115 A 4 4 1. 24 0.167
116 A 4 4 1. 24 0.167
117 A 4 4 1. 24 0.167
118 A 4 4 1. 24 0.167
119 A 3 3 1. 39 0.077
120 A 2 1 1. 17 0.059
121 A 2 1 1. 17 0.059
122 A 2 1 1. 17 0.059
123 A 2 1 1. 15 0.067
124 A 3 2 1. 17 0.118
125 A 3 3 1. 17 0.176
126 A 3 3 1. 17 0.176
127 A 4 4 1. 17 0.235
128 A 2 1 1. 19 0.053
129 A 2 1 1. 19 0.053
130 A 2 1 1. 17 0.059
131 A 2 1 1. 9 0.111
132 A 3 2 1. 19 0.105
133 A 4 3 1. 19 0.158
134 A 5 4 1. 19 0.21
135 A 5 5 1. 19 0.263
136 A 5 5 1. 19 0.263
137 A 11 7 1. 19 0.368
138 A 11 7 1. 19 0.368
139 A 11 7 1. 19 0.368
140 A 9 6 1. 17 0.353
141 A 9 6 1. 9 0.667
142 A 12 8 1. 19 0.421
143 A 14 9 1. 19 0.474
144 A 11 8 1. 19 0.421
145 A 11 8 1. 19 0.421
146 A 10 7 1. 17 0.412
147 A 10 7 1. 9 0.778
148 A 22 9 1. 19 0.474
149 A 24 10 1. 19 0.526
150 A 6 5 0.99 21 0.238
151 A 5 5 1. 21 0.238
152 A 4 4 1. 21 0.19
153 A 3 3 1. 19 0.158
154 A 3 3 1. 21 0.143
155 A 6 6 1. 21 0.286
156 A 7 7 1. 21 0.333
157 A 8 8 1. 22 0.364
158 A 7 7 1. 22 0.318
159 A 6 6 1. 20 0.3
160 A 2 2 1. 22 0.091
161 A 10 10 1. 22 0.454
162 A 11 11 1. 22 0.5
163 A 12 11 1. 22 0.5
164 A 6 6 1. 21 0.286
165 A 2 2 1. 23 0.087
166 A 3 3 1. 29 0.103
167 A 3 3 1. 29 0.103
168 A 3 3 1. 22 0.136
169 A 3 3 1. 24 0.125
170 A 2 2 1. 21 0.095
171 A 3 3 1. 21 0.143
172 A 1 1 1. 22 0.045
173 A 3 3 1. 21 0.143
174 F 0 0 N/A 0 N/A
175 A 0 0 0. 0 0.
176 A 9 6 0.96 19 0.316
177 A 7 6 0.95 19 0.316
178 A 6 5 1. 17 0.294
179 A 2 2 1. 9 0.222
180 A 6 5 1. 19 0.263
181 A 8 5 1. 19 0.263
182 A 6 4 0.95 19 0.21
183 A 5 4 0.92 19 0.21
184 A 4 3 1. 17 0.176
185 A 1 1 1. 9 0.111
186 A 4 3 1. 19 0.158
187 A 5 3 1. 19 0.158
188 A 6 3 1. 19 0.158
189 A 4 3 1. 24 0.125
190 A 4 3 1. 24 0.125
191 A 3 3 1. 24 0.125
192 A 2 2 1. 22 0.091
193 A 5 5 1. 24 0.208
194 A 6 6 1. 24 0.25
195 A 6 6 1. 26 0.231
196 A 3 3 1. 26 0.115
197 A 4 4 1. 26 0.154
198 A 6 6 1. 26 0.231
199 A 5 5 1. 28 0.179
200 A 4 4 1. 28 0.143
201 A 3 3 1. 28 0.107
202 A 3 3 1. 28 0.107
203 A 4 4 1. 28 0.143
204 A 6 6 1. 28 0.214
205 A 5 5 1. 29 0.172
206 A 4 4 1. 29 0.138
207 A 3 3 1. 29 0.103
208 A 3 3 1. 29 0.103
209 A 4 4 1. 29 0.138
210 A 6 6 1. 29 0.207
211 A 2 2 1. 19 0.105
212 A 3 3 1.67 19 0.158
213 A 7 5 0.99 31 0.161
214 A 4 3 1. 39 0.077
215 A 4 3 1. 39 0.077
216 A 3 3 1. 39 0.077
217 A 2 2 1. 37 0.054
218 A 5 5 1. 39 0.128
219 A 6 6 1. 39 0.154
220 A 7 7 1. 41 0.171
221 A 6 6 1. 41 0.146
222 A 3 3 1. 41 0.073
223 A 4 4 1. 41 0.098
224 A 6 6 1. 41 0.146
225 A 6 6 1. 20 0.3
226 A 5 5 1. 20 0.25
227 A 4 4 1. 18 0.222
228 A 8 7 1. 20 0.35
229 A 1 1 1. 20 0.05
230 A 23 13 1. 20 0.65
231 A 26 14 1. 20 0.7
232 A 5 5 1. 20 0.25
233 A 4 4 1. 20 0.2
234 A 3 3 1. 18 0.167
235 A 4 4 1. 20 0.2
236 A 8 8 1. 20 0.4
237 A 9 9 1. 20 0.45
238 A 4 4 1. 20 0.2
239 A 2 2 1. 20 0.1
240 A 2 2 1. 18 0.111
241 A 9 8 1. 20 0.4
242 A 16 11 1. 20 0.55
243 A 23 14 1. 20 0.7
244 A 2 1 1. 22 0.045
245 A 2 1 1. 22 0.045
246 A 2 1 1. 22 0.045
247 A 2 1 1. 20 0.05
248 A 3 2 1. 22 0.091
249 A 3 3 1. 22 0.136
250 A 3 3 1. 22 0.136
251 A 4 4 1. 22 0.182
252 A 2 1 1. 24 0.042
253 A 2 1 1. 24 0.042
254 A 2 1 1. 22 0.045
255 A 2 1 1. 14 0.071
256 A 3 2 1. 24 0.083
257 A 4 3 1. 24 0.125
258 A 5 4 1. 24 0.167
259 A 5 4 1. 24 0.167
260 A 5 4 1. 24 0.167
261 A 3 3 1. 22 0.136
262 A 3 3 1. 23 0.13
263 A 5 3 1. 24 0.125
264 A 5 3 1. 24 0.125
265 A 5 3 1. 24 0.125
266 A 3 2 1. 22 0.091
267 A 3 2 1. 14 0.143
268 A 6 3 1. 24 0.125
269 A 8 4 1. 24 0.167
270 A 4 3 1. 24 0.125
271 A 4 3 1. 24 0.125
272 A 4 3 1. 22 0.136
273 A 4 3 1. 14 0.214
274 A 10 4 1. 24 0.167
275 A 12 5 1. 24 0.208
276 A 7 5 1. 24 0.208
277 A 6 5 1. 24 0.208
278 A 5 5 1. 24 0.208
279 A 4 4 1. 24 0.167
280 A 4 4 1. 24 0.167
281 A 4 4 1. 24 0.167
282 A 4 4 1. 24 0.167
283 A 5 5 1. 24 0.208
284 A 6 5 0.99 24 0.208
285 A 7 5 1. 24 0.208
286 A 6 6 1. 24 0.25
287 A 5 5 1. 24 0.208
288 A 4 4 1. 22 0.182
289 A 4 4 1. 14 0.286
290 A 8 7 1.3 24 0.292
291 A 8 7 1. 24 0.292
292 A 25 10 1. 24 0.417
293 A 7 6 1. 24 0.25
294 A 6 5 1. 24 0.208
295 A 5 4 1. 22 0.182
296 A 5 5 1. 14 0.357
297 A 13 8 1. 24 0.333
298 A 21 10 1.5 24 0.417
299 A 27 10 1.25 24 0.417
300 A 5 5 1. 24 0.208
301 A 4 4 1. 24 0.167
302 A 3 3 1. 22 0.136
303 A 1 1 1. 14 0.071
304 A 4 4 1. 24 0.167
305 A 9 8 1. 24 0.333
306 A 10 9 1. 24 0.375
307 A 6 5 1. 24 0.208
308 A 5 5 1. 24 0.208
309 A 4 4 1. 24 0.167
310 A 4 4 1. 24 0.167
311 A 4 4 1. 22 0.182
312 A 4 4 1. 14 0.286
313 A 9 8 1.2 24 0.333
314 A 19 10 1. 24 0.417
315 A 29 11 1. 24 0.458
316 A 8 7 1. 24 0.292
317 A 7 7 1. 24 0.292
318 A 6 6 1. 24 0.25
319 A 5 5 1. 22 0.227
320 A 5 5 1. 14 0.357
321 A 7 7 1. 24 0.292
322 A 7 7 1. 24 0.292
323 A 21 10 1. 24 0.417
324 A 9 7 1. 24 0.292
325 A 8 7 1. 24 0.292
326 A 7 6 1. 24 0.25
327 A 6 5 1. 22 0.227
328 A 6 6 1. 14 0.429
329 A 13 8 1. 24 0.333
330 A 21 13 1. 24 0.542
331 A 27 13 1. 24 0.542
332 A 6 6 1. 24 0.25
333 A 5 5 1. 24 0.208
334 A 4 4 1. 22 0.182
335 A 2 2 1. 14 0.143
336 A 2 2 1. 24 0.083
337 A 8 8 1. 24 0.333
338 A 9 9 1. 24 0.375
339 A 7 6 1. 24 0.25
340 A 6 6 1. 24 0.25
341 A 5 5 1. 24 0.208
342 A 5 5 1. 24 0.208
343 A 5 5 1. 22 0.227
344 A 5 5 1. 14 0.357
345 A 8 8 1. 24 0.333
346 A 17 10 1. 24 0.417
347 A 26 11 1. 24 0.458
348 A 7 6 1. 24 0.25
349 A 6 6 1. 24 0.25
350 A 5 5 1. 24 0.208
351 A 4 4 1. 22 0.182
352 A 4 4 1. 14 0.286
353 A 7 6 1. 24 0.25
354 A 7 6 1. 24 0.25
355 A 18 9 1. 24 0.375
356 A 8 6 1. 24 0.25
357 A 7 6 1. 24 0.25
358 A 6 5 1. 24 0.208
359 A 5 4 1. 22 0.182
360 A 5 5 1. 14 0.357
361 A 12 7 1. 24 0.292
362 A 19 11 1.22 24 0.458
363 A 22 10 1. 24 0.417
364 A 5 5 1. 24 0.208
365 A 4 4 1. 24 0.167
366 A 3 3 1. 22 0.136
367 A 1 1 1. 14 0.071
368 A 3 3 1. 24 0.125
369 A 6 6 1. 24 0.25
370 A 7 7 1. 24 0.292
371 A 6 5 1. 24 0.208
372 A 5 5 1. 24 0.208
373 A 4 4 1. 24 0.167
374 A 4 4 1. 24 0.167
375 A 4 4 1. 22 0.182
376 A 4 4 1. 14 0.286
377 A 8 7 1. 24 0.292
378 A 15 10 1. 24 0.417
379 A 22 11 1. 24 0.458
380 A 5 5 1. 26 0.192
381 A 4 4 1. 26 0.154
382 A 3 3 1. 24 0.125
383 A 3 3 1. 26 0.115
384 A 6 6 1. 26 0.231
385 A 6 6 1. 27 0.222
386 A 5 5 1. 27 0.185
387 A 4 4 1. 25 0.16
388 A 2 2 1. 27 0.074
389 A 8 8 1. 27 0.296
390 A 5 5 1. 26 0.192
391 A 2 2 1. 28 0.071
392 A 3 3 1. 27 0.111
393 A 3 3 1. 29 0.103
394 A 5 5 1. 24 0.208
395 A 4 4 1. 24 0.167
396 A 3 3 1. 22 0.136
397 A 4 4 1. 24 0.167
398 A 9 8 1.26 24 0.333
399 A 0 0 0. 0 0.
400 A 8 7 1. 24 0.292
401 A 7 6 0.96 24 0.25
402 A 6 5 1. 22 0.227
403 A 2 2 1. 14 0.143
404 A 0 0 0. 0 0.
405 A 0 0 0. 0 0.
406 A 8 8 1. 24 0.333
407 A 10 10 1. 26 0.385
408 A 2 2 1. 40 0.05
409 A 2 2 1. 40 0.05
410 A 2 2 1. 46 0.043
411 A 2 2 1. 46 0.043
412 A 8 8 1. 29 0.276
413 A 10 10 1. 31 0.323

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