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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, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 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 }

B grade: { 344 }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 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, 134, 135, 136, 137, 138, 139, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 295, 296, 297, 298, 299, 300, 301, 303, 304, 305, 306, 307, 308, 309, 310, 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, 344, 345, 346, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 365, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385 }

B grade: { }

C grade: { 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, 140, 141, 142, 143, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 248, 249, 250, 251, 252, 263, 264, 265, 266, 277, 278, 279, 280, 291, 292, 293, 294, 302, 311, 343, 347 }

F grade: { 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 236, 364, 366, 367, 368, 369, 370}

2.1.3 Maple

A grade: { 1, 2, 3, 4, 5, 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, 44, 45, 46, 47, 48, 49, 50, 51, 140, 141, 165, 166, 202, 203, 248, 249, 250, 251, 252, 256, 257, 258, 263, 264, 265, 266, 270, 271, 272, 277, 278, 279, 280, 284, 285, 286, 291, 292, 293, 294, 298, 299, 300, 301, 302, 303, 304, 305, 306, 308, 310, 312, 314, 315, 316, 317, 318, 319, 321, 323, 324, 325, 326, 327, 328, 330, 332, 333, 335, 343, 347, 372, 373, 374, 375, 376, 377, 378, 380, 381, 382, 383, 384, 385 }

B grade: { 6, 35, 36, 37, 38, 39, 40, 41, 42, 43, 52, 53, 54, 55, 56, 57, 58, 59, 60, 162, 163, 164, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 307, 309, 311, 313, 320, 322, 329, 331, 334, 336, 379 }

C grade: { 134, 135, 136, 137, 138, 139 }

F grade: { 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, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 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, 253, 254, 255, 259, 260, 261, 262, 267, 268, 269, 273, 274, 275, 276, 281, 282, 283, 287, 288, 289, 290, 295, 296, 297, 337, 338, 339, 340, 341, 342, 344, 345, 346, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371 }

2.1.4 Maxima

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 191, 192, 193, 198, 199, 200, 201, 202, 203, 211, 248, 263, 277, 291, 301, 303, 304, 306, 307, 308, 315, 317, 322, 323, 325, 326, 333, 335, 343, 372, 383, 384

B grade: { 53, 171, 172, 173, 174, 175, 176, 177, 178, 179, 189, 190, 204, 205, 206, 207, 208, 209, 210, 302, 305, 309, 319, 320, 321, 327, 375, 376, 377, 385 }

C grade: { }

F grade: { 39, 40, 41, 42, 43, 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, 180, 181, 182, 183, 184, 185, 186, 187, 188, 194, 195, 196, 197, 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, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 292, 293, 294, 295, 296, 297, 298, 299, 300, 310, 311, 312, 313, 314, 316, 318, 324, 328, 329, 330, 331, 332, 334, 336, 337, 338, 339, 340, 341, 342, 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, 373, 374, 378, 379, 380, 381, 382 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 162, 163, 164, 165, 166, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 189, 190, 191, 192, 193, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 216, 217, 218, 219, 221, 222, 223, 226, 227, 228, 229, 231, 232, 233, 248, 249, 250, 251, 252, 256, 257, 258, 263, 264, 265, 266, 270, 271, 272, 277, 278, 279, 280, 284, 285, 286, 291, 292, 293, 294, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 319, 320, 321, 322, 325, 326, 327, 328, 329, 330, 331, 334, 335, 336, 343, 347, 372, 373, 374, 377, 378 }

B grade: { 6, 7, 23, 24, 32, 39, 40, 56, 57, 65, 75, 93, 102, 111, 112, 167, 168, 169, 170, 185, 186, 187, 188, 194, 195, 196, 197, 212, 213, 214, 215, 220, 224, 225, 230, 234, 235, 310, 311, 312, 313, 314, 315, 316, 317, 318, 323, 324, 332, 333, 375, 376, 379, 380, 381, 384, 385 }

C grade: { }

F grade: { 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, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 253, 254, 255, 259, 260, 261, 262, 267, 268, 269, 273, 274, 275, 276, 281, 282, 283, 287, 288, 289, 290, 295, 296, 297, 337, 338, 339, 340, 341, 342, 344, 345, 346, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 382, 383 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 27, 28, 29, 30, 31, 32, 33, 34, 44, 45, 46, 47, 48, 49, 50, 51, 141, 166, 175, 202, 301, 303, 305, 306, 308, 319, 321, 377, 378 }

B grade: { 136, 137, 171, 172, 173, 174, 176, 177, 198, 199, 200, 201, 203, 204, 323, 324, 326, 376, 379 }

C grade: { }

F grade: { 19, 20, 21, 22, 23, 24, 25, 26, 35, 36, 37, 38, 39, 40, 41, 42, 43, 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, 138, 139, 140, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 167, 168, 169, 170, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 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, 302, 304, 307, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 320, 322, 325, 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, 380, 381, 382, 383, 384, 385 }

2.1.7 Giac

A grade: { 1, 2, 3, 4, 5, 11, 12, 13, 14, 15, 16, 17, 18, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 49, 51, 162, 163, 164, 165, 166, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 189, 190, 191, 192, 193, 194, 202, 207, 208, 209, 248, 263, 277, 291, 301, 302, 303, 305, 306, 308, 309, 313, 316, 319, 321, 322, 323, 324, 325, 326, 331, 334, 343, 372, 373, 377 }

B grade: { 6, 7, 8, 9, 10, 39, 44, 45, 46, 47, 48, 50, 183, 184, 198, 199, 200, 201, 203, 204, 205, 206, 210, 211, 320, 327, 329, 336, 374, 375, 376, 378, 379 }

C grade: { }

F grade: { 19, 20, 21, 22, 23, 24, 25, 26, 40, 41, 42, 43, 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, 167, 168, 169, 170, 185, 186, 187, 188, 195, 196, 197, 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, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 292, 293, 294, 295, 296, 297, 298, 299, 300, 304, 307, 310, 311, 312, 314, 315, 317, 318, 328, 330, 332, 333, 335, 337, 338, 339, 340, 341, 342, 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, 380, 381, 382, 383, 384, 385 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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

Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 64 128 151 169 138 111
normalized size 1 1. 0.57 1.13 1.34 1.5 1.22 0.98
time (sec) N/A 0.088 0.053 0.071 0.984 1.813 5.702 1.128
Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 56 109 126 144 119 99
normalized size 1 1. 0.62 1.21 1.4 1.6 1.32 1.1
time (sec) N/A 0.064 0.039 0.072 0.991 1.718 5.414 1.115
Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 46 89 100 123 75 85
normalized size 1 1. 0.61 1.19 1.33 1.64 1. 1.13
time (sec) N/A 0.047 0.031 0.074 1.016 1.682 3.825 1.13
Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 38 69 73 101 51 73
normalized size 1 1. 0.9 1.64 1.74 2.4 1.21 1.74
time (sec) N/A 0.019 0.027 0.067 0.982 1.684 4.434 1.114
Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 26 48 46 77 68 55
normalized size 1 1. 0.9 1.66 1.59 2.66 2.34 1.9
time (sec) N/A 0.009 0.015 0.053 1.024 1.616 1.336 1.114
Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A B A B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 25 25 29 48 45 143 53 93
normalized size 1 1. 1.16 1.92 1.8 5.72 2.12 3.72
time (sec) N/A 0.037 0.014 0.063 1.016 1.753 2.895 1.145
Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B A B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 38 38 47 34 42 154 26 103
normalized size 1 1. 1.24 0.89 1.11 4.05 0.68 2.71
time (sec) N/A 0.038 0.03 0.063 1. 1.753 2.525 1.177
Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 63 63 57 53 68 197 48 209
normalized size 1 1. 0.9 0.84 1.08 3.13 0.76 3.32
time (sec) N/A 0.05 0.04 0.071 0.977 1.68 3.54 1.136
Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 90 90 70 75 93 220 75 221
normalized size 1 1. 0.78 0.83 1.03 2.44 0.83 2.46
time (sec) N/A 0.069 0.051 0.067 0.991 1.699 3.864 1.144
Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 113 113 76 97 119 242 122 324
normalized size 1 1. 0.67 0.86 1.05 2.14 1.08 2.87
time (sec) N/A 0.09 0.057 0.07 1.049 1.722 5.449 1.155
Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 48 55 76 112 41 65
normalized size 1 1. 1. 1.15 1.58 2.33 0.85 1.35
time (sec) N/A 0.036 0.02 0.038 1.477 1.498 0.348 1.103
Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 39 47 63 88 31 53
normalized size 1 1. 1. 1.21 1.62 2.26 0.79 1.36
time (sec) N/A 0.028 0.013 0.036 1.526 1.593 0.359 1.091
Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 38 51 69 22 41
normalized size 1 1. 1. 1.31 1.76 2.38 0.76 1.41
time (sec) N/A 0.019 0.01 0.036 1.476 1.598 0.165 1.087
Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 19 19 30 30 38 45 12 22
normalized size 1 1. 1.58 1.58 2. 2.37 0.63 1.16
time (sec) N/A 0.009 0.009 0.036 1.508 1.546 0.311 1.104
Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 23 28 39 10 20
normalized size 1 1. 1. 1.77 2.15 3. 0.77 1.54
time (sec) N/A 0.019 0.006 0.041 1.506 1.685 0.408 1.132
Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 34 42 69 20 31
normalized size 1 1. 1. 1.31 1.62 2.65 0.77 1.19
time (sec) N/A 0.024 0.009 0.043 1.487 1.8 0.428 1.097
Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 45 57 97 29 43
normalized size 1 1. 1. 1.25 1.58 2.69 0.81 1.19
time (sec) N/A 0.027 0.01 0.041 1.514 1.599 0.46 1.117
Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 48 55 69 119 39 57
normalized size 1 1. 1. 1.15 1.44 2.48 0.81 1.19
time (sec) N/A 0.03 0.012 0.043 1.503 1.713 0.508 1.09
Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 80 143 170 220 0 0
normalized size 1 1. 0.58 1.04 1.24 1.61 0. 0.
time (sec) N/A 0.621 0.06 0.079 1.011 1.726 0. 0.
Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 63 123 144 201 0 0
normalized size 1 1. 0.62 1.21 1.41 1.97 0. 0.
time (sec) N/A 0.568 0.051 0.073 1.02 1.674 0. 0.
Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 54 104 119 176 0 0
normalized size 1 1. 0.59 1.13 1.29 1.91 0. 0.
time (sec) N/A 0.326 0.059 0.071 1.037 1.715 0. 0.
Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 42 81 89 146 0 0
normalized size 1 1. 0.7 1.35 1.48 2.43 0. 0.
time (sec) N/A 0.045 0.032 0.054 0.996 1.623 0. 0.
Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 51 51 55 77 82 250 0 0
normalized size 1 1. 1.08 1.51 1.61 4.9 0. 0.
time (sec) N/A 0.663 0.039 0.064 1. 1.721 0. 0.
Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 63 63 61 80 84 247 0 0
normalized size 1 1. 0.97 1.27 1.33 3.92 0. 0.
time (sec) N/A 0.56 0.044 0.069 1.051 1.792 0. 0.
Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 92 92 79 105 112 294 0 0
normalized size 1 1. 0.86 1.14 1.22 3.2 0. 0.
time (sec) N/A 0.601 0.077 0.072 1.05 1.712 0. 0.
Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 117 117 89 141 138 316 0 0
normalized size 1 1. 0.76 1.21 1.18 2.7 0. 0.
time (sec) N/A 0.616 0.075 0.07 1.053 1.734 0. 0.
Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 65 70 104 177 58 85
normalized size 1 1. 1. 1.08 1.6 2.72 0.89 1.31
time (sec) N/A 0.045 0.043 0.046 1.538 1.498 0.5 1.096
Problem 28 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 53 53 53 60 92 147 46 72
normalized size 1 1. 1. 1.13 1.74 2.77 0.87 1.36
time (sec) N/A 0.04 0.031 0.046 1.492 1.621 0.491 1.117
Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 45 45 45 53 81 127 37 61
normalized size 1 1. 1. 1.18 1.8 2.82 0.82 1.36
time (sec) N/A 0.026 0.024 0.045 1.507 1.577 0.484 1.118
Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 31 31 42 41 61 95 26 35
normalized size 1 1. 1.35 1.32 1.97 3.06 0.84 1.13
time (sec) N/A 0.014 0.02 0.043 1.521 1.539 0.422 1.125
Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 15 30 49 15 19
normalized size 1 1. 1. 0.94 1.88 3.06 0.94 1.19
time (sec) N/A 0.022 0.01 0.047 1.526 1.601 0.475 1.108
Problem 32 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 38 38 38 45 72 131 37 50
normalized size 1 1. 1. 1.18 1.89 3.45 0.97 1.32
time (sec) N/A 0.031 0.024 0.049 1.534 1.66 0.609 1.107
Problem 33 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 52 52 52 60 93 171 51 63
normalized size 1 1. 1. 1.15 1.79 3.29 0.98 1.21
time (sec) N/A 0.035 0.036 0.048 1.534 1.712 0.685 1.095
Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 62 68 104 189 63 80
normalized size 1 1. 1. 1.1 1.68 3.05 1.02 1.29
time (sec) N/A 0.039 0.035 0.052 1.512 1.784 0.758 1.103
Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 56 187 103 146 0 99
normalized size 1 1. 0.62 2.08 1.14 1.62 0. 1.1
time (sec) N/A 0.066 0.043 0.156 1.496 1.804 0. 1.119
Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 46 168 80 124 0 85
normalized size 1 1. 0.61 2.24 1.07 1.65 0. 1.13
time (sec) N/A 0.047 0.031 0.077 1.549 1.671 0. 1.108
Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 38 152 57 103 0 73
normalized size 1 1. 0.9 3.62 1.36 2.45 0. 1.74
time (sec) N/A 0.02 0.026 0.069 1.563 1.763 0. 1.134
Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 26 97 34 78 0 57
normalized size 1 1. 0.9 3.34 1.17 2.69 0. 1.97
time (sec) N/A 0.009 0.013 0.058 1.56 1.665 0. 1.106
Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 25 25 29 121 0 143 0 92
normalized size 1 1. 1.16 4.84 0. 5.72 0. 3.68
time (sec) N/A 0.037 0.014 0.078 0. 1.783 0. 1.134
Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 38 38 47 194 0 153 0 0
normalized size 1 1. 1.24 5.11 0. 4.03 0. 0.
time (sec) N/A 0.037 0.026 0.095 0. 1.662 0. 0.
Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 63 63 57 219 0 196 0 0
normalized size 1 1. 0.9 3.48 0. 3.11 0. 0.
time (sec) N/A 0.051 0.041 0.079 0. 1.814 0. 0.
Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 90 90 70 237 0 221 0 0
normalized size 1 1. 0.78 2.63 0. 2.46 0. 0.
time (sec) N/A 0.07 0.048 0.081 0. 1.726 0. 0.
Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 113 113 76 259 0 243 0 0
normalized size 1 1. 0.67 2.29 0. 2.15 0. 0.
time (sec) N/A 0.089 0.057 0.082 0. 1.783 0. 0.
Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 49 55 59 112 41 108
normalized size 1 1. 1. 1.12 1.2 2.29 0.84 2.2
time (sec) N/A 0.035 0.018 0.043 1.003 1.632 0.36 1.135
Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 47 47 88 31 92
normalized size 1 1. 1. 1.18 1.18 2.2 0.78 2.3
time (sec) N/A 0.03 0.013 0.046 1.037 1.537 0.36 1.096
Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 38 38 69 22 78
normalized size 1 1. 1. 1.27 1.27 2.3 0.73 2.6
time (sec) N/A 0.021 0.01 0.041 1.088 1.518 0.175 1.111
Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 20 20 30 30 22 45 14 90
normalized size 1 1. 1.5 1.5 1.1 2.25 0.7 4.5
time (sec) N/A 0.01 0.009 0.041 1.019 1.523 0.33 1.109
Problem 48 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 14 14 14 23 16 39 10 63
normalized size 1 1. 1. 1.64 1.14 2.79 0.71 4.5
time (sec) N/A 0.02 0.007 0.044 1.026 1.624 0.418 1.096
Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 34 46 70 20 50
normalized size 1 1. 1. 1.26 1.7 2.59 0.74 1.85
time (sec) N/A 0.026 0.009 0.044 1.055 1.745 0.421 1.099
Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 45 68 97 27 85
normalized size 1 1. 1. 1.22 1.84 2.62 0.73 2.3
time (sec) N/A 0.027 0.011 0.046 1.009 1.66 0.474 1.096
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 49 49 49 55 77 117 39 104
normalized size 1 1. 1. 1.12 1.57 2.39 0.8 2.12
time (sec) N/A 0.032 0.015 0.048 1.047 1.643 0.52 1.102
Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 80 296 292 219 0 0
normalized size 1 1. 0.58 2.16 2.13 1.6 0. 0.
time (sec) N/A 0.624 0.056 0.087 1.551 1.75 0. 0.
Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 63 224 244 200 0 0
normalized size 1 1. 0.62 2.2 2.39 1.96 0. 0.
time (sec) N/A 0.574 0.049 0.079 1.541 1.667 0. 0.
Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 60 226 151 174 0 0
normalized size 1 1. 0.65 2.46 1.64 1.89 0. 0.
time (sec) N/A 0.324 0.04 0.078 1.558 1.657 0. 0.
Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 42 219 88 144 0 0
normalized size 1 1. 0.7 3.65 1.47 2.4 0. 0.
time (sec) N/A 0.044 0.03 0.055 1.506 1.647 0. 0.
Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 52 52 55 257 0 252 0 0
normalized size 1 1. 1.06 4.94 0. 4.85 0. 0.
time (sec) N/A 0.572 0.04 0.084 0. 1.736 0. 0.
Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 64 64 61 305 0 247 0 0
normalized size 1 1. 0.95 4.77 0. 3.86 0. 0.
time (sec) N/A 0.552 0.048 0.086 0. 1.643 0. 0.
Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 93 93 79 376 0 292 0 0
normalized size 1 1. 0.85 4.04 0. 3.14 0. 0.
time (sec) N/A 0.593 0.074 0.095 0. 1.679 0. 0.
Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 118 118 89 392 0 316 0 0
normalized size 1 1. 0.75 3.32 0. 2.68 0. 0.
time (sec) N/A 0.604 0.07 0.09 0. 1.756 0. 0.
Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 139 139 95 416 0 346 0 0
normalized size 1 1. 0.68 2.99 0. 2.49 0. 0.
time (sec) N/A 0.662 0.077 0.089 0. 1.772 0. 0.
Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 339 339 82 0 0 645 0 0
normalized size 1 1. 0.24 0. 0. 1.9 0. 0.
time (sec) N/A 0.228 0.036 0.18 0. 1.845 0. 0.
Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 295 295 63 0 0 597 0 0
normalized size 1 1. 0.21 0. 0. 2.02 0. 0.
time (sec) N/A 0.179 0.021 0.13 0. 1.688 0. 0.
Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 268 268 41 0 0 493 0 0
normalized size 1 1. 0.15 0. 0. 1.84 0. 0.
time (sec) N/A 0.147 0.023 0.102 0. 1.699 0. 0.
Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 267 267 97 0 0 660 0 0
normalized size 1 1. 0.36 0. 0. 2.47 0. 0.
time (sec) N/A 0.174 0.034 0.12 0. 1.706 0. 0.
Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 92 92 71 0 0 363 0 0
normalized size 1 1. 0.77 0. 0. 3.95 0. 0.
time (sec) N/A 0.034 0.015 0.12 0. 1.634 0. 0.
Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 132 132 81 0 0 401 0 0
normalized size 1 1. 0.61 0. 0. 3.04 0. 0.
time (sec) N/A 0.043 0.018 0.141 0. 1.81 0. 0.
Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 170 170 93 0 0 436 0 0
normalized size 1 1. 0.55 0. 0. 2.56 0. 0.
time (sec) N/A 0.063 0.025 0.14 0. 1.741 0. 0.
Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 202 202 99 0 0 463 0 0
normalized size 1 1. 0.49 0. 0. 2.29 0. 0.
time (sec) N/A 0.079 0.028 0.141 0. 1.797 0. 0.
Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 240 240 111 0 0 497 0 0
normalized size 1 1. 0.46 0. 0. 2.07 0. 0.
time (sec) N/A 0.102 0.032 0.144 0. 1.745 0. 0.
Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 337 337 148 0 0 756 0 0
normalized size 1 1. 0.44 0. 0. 2.24 0. 0.
time (sec) N/A 0.215 0.105 0.175 0. 1.705 0. 0.
Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 339 339 82 0 0 674 0 0
normalized size 1 1. 0.24 0. 0. 1.99 0. 0.
time (sec) N/A 0.21 0.038 0.148 0. 1.721 0. 0.
Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 295 295 61 0 0 640 0 0
normalized size 1 1. 0.21 0. 0. 2.17 0. 0.
time (sec) N/A 0.177 0.016 0.141 0. 1.68 0. 0.
Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 268 268 41 0 0 536 0 0
normalized size 1 1. 0.15 0. 0. 2. 0. 0.
time (sec) N/A 0.143 0.027 0.127 0. 1.545 0. 0.
Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 267 267 96 0 0 671 0 0
normalized size 1 1. 0.36 0. 0. 2.51 0. 0.
time (sec) N/A 0.166 0.03 0.139 0. 1.567 0. 0.
Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 92 92 68 0 0 381 0 0
normalized size 1 1. 0.74 0. 0. 4.14 0. 0.
time (sec) N/A 0.032 0.014 0.138 0. 1.65 0. 0.
Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 132 132 81 0 0 423 0 0
normalized size 1 1. 0.61 0. 0. 3.2 0. 0.
time (sec) N/A 0.042 0.017 0.146 0. 1.72 0. 0.
Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 170 170 93 0 0 447 0 0
normalized size 1 1. 0.55 0. 0. 2.63 0. 0.
time (sec) N/A 0.063 0.023 0.139 0. 1.739 0. 0.
Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 202 202 99 0 0 477 0 0
normalized size 1 1. 0.49 0. 0. 2.36 0. 0.
time (sec) N/A 0.081 0.028 0.141 0. 1.844 0. 0.
Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 373 373 96 0 0 759 0 0
normalized size 1 1. 0.26 0. 0. 2.03 0. 0.
time (sec) N/A 0.255 0.043 0.189 0. 1.726 0. 0.
Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 371 371 86 0 0 689 0 0
normalized size 1 1. 0.23 0. 0. 1.86 0. 0.
time (sec) N/A 0.244 0.035 0.153 0. 1.785 0. 0.
Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 324 324 72 0 0 637 0 0
normalized size 1 1. 0.22 0. 0. 1.97 0. 0.
time (sec) N/A 0.21 0.034 0.151 0. 1.755 0. 0.
Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 299 299 41 0 0 549 0 0
normalized size 1 1. 0.14 0. 0. 1.84 0. 0.
time (sec) N/A 0.178 0.038 0.13 0. 1.643 0. 0.
Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 293 293 112 0 0 716 0 0
normalized size 1 1. 0.38 0. 0. 2.44 0. 0.
time (sec) N/A 0.219 0.037 0.144 0. 1.693 0. 0.
Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 121 121 87 0 0 377 0 0
normalized size 1 1. 0.72 0. 0. 3.12 0. 0.
time (sec) N/A 0.038 0.021 0.15 0. 1.639 0. 0.
Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 163 163 99 0 0 420 0 0
normalized size 1 1. 0.61 0. 0. 2.58 0. 0.
time (sec) N/A 0.051 0.023 0.146 0. 1.738 0. 0.
Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 203 203 106 0 0 452 0 0
normalized size 1 1. 0.52 0. 0. 2.23 0. 0.
time (sec) N/A 0.082 0.03 0.155 0. 1.702 0. 0.
Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 233 233 118 0 0 482 0 0
normalized size 1 1. 0.51 0. 0. 2.07 0. 0.
time (sec) N/A 0.1 0.034 0.158 0. 2.079 0. 0.
Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 337 337 127 0 0 733 0 0
normalized size 1 1. 0.38 0. 0. 2.18 0. 0.
time (sec) N/A 0.213 0.101 0.146 0. 2.163 0. 0.
Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 339 339 73 0 0 648 0 0
normalized size 1 1. 0.22 0. 0. 1.91 0. 0.
time (sec) N/A 0.216 0.026 0.144 0. 2.214 0. 0.
Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 295 295 63 0 0 618 0 0
normalized size 1 1. 0.21 0. 0. 2.09 0. 0.
time (sec) N/A 0.173 0.021 0.141 0. 2.155 0. 0.
Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 268 268 41 0 0 493 0 0
normalized size 1 1. 0.15 0. 0. 1.84 0. 0.
time (sec) N/A 0.146 0.028 0.128 0. 2.028 0. 0.
Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 267 267 96 0 0 672 0 0
normalized size 1 1. 0.36 0. 0. 2.52 0. 0.
time (sec) N/A 0.161 0.028 0.139 0. 2.013 0. 0.
Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 92 92 69 0 0 369 0 0
normalized size 1 1. 0.75 0. 0. 4.01 0. 0.
time (sec) N/A 0.035 0.015 0.136 0. 2.104 0. 0.
Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 132 132 81 0 0 413 0 0
normalized size 1 1. 0.61 0. 0. 3.13 0. 0.
time (sec) N/A 0.043 0.021 0.142 0. 2. 0. 0.
Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 170 170 92 0 0 443 0 0
normalized size 1 1. 0.54 0. 0. 2.61 0. 0.
time (sec) N/A 0.069 0.024 0.154 0. 2.099 0. 0.
Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 202 202 99 0 0 475 0 0
normalized size 1 1. 0.49 0. 0. 2.35 0. 0.
time (sec) N/A 0.081 0.031 0.146 0. 2.095 0. 0.
Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 337 337 127 0 0 740 0 0
normalized size 1 1. 0.38 0. 0. 2.2 0. 0.
time (sec) N/A 0.217 0.102 0.161 0. 2.041 0. 0.
Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 339 339 73 0 0 678 0 0
normalized size 1 1. 0.22 0. 0. 2. 0. 0.
time (sec) N/A 0.219 0.029 0.158 0. 2.053 0. 0.
Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 295 295 63 0 0 620 0 0
normalized size 1 1. 0.21 0. 0. 2.1 0. 0.
time (sec) N/A 0.178 0.014 0.158 0. 2.134 0. 0.
Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 268 268 39 0 0 536 0 0
normalized size 1 1. 0.15 0. 0. 2. 0. 0.
time (sec) N/A 0.15 0.039 0.135 0. 2.052 0. 0.
Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 267 267 97 0 0 662 0 0
normalized size 1 1. 0.36 0. 0. 2.48 0. 0.
time (sec) N/A 0.168 0.028 0.146 0. 2.112 0. 0.
Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 92 92 69 0 0 373 0 0
normalized size 1 1. 0.75 0. 0. 4.05 0. 0.
time (sec) N/A 0.032 0.016 0.155 0. 2.039 0. 0.
Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 132 132 81 0 0 414 0 0
normalized size 1 1. 0.61 0. 0. 3.14 0. 0.
time (sec) N/A 0.043 0.019 0.158 0. 2.107 0. 0.
Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 170 170 93 0 0 446 0 0
normalized size 1 1. 0.55 0. 0. 2.62 0. 0.
time (sec) N/A 0.065 0.023 0.158 0. 2.094 0. 0.
Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 202 202 99 0 0 473 0 0
normalized size 1 1. 0.49 0. 0. 2.34 0. 0.
time (sec) N/A 0.081 0.032 0.158 0. 2.109 0. 0.
Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 373 373 100 0 0 876 0 0
normalized size 1 1. 0.27 0. 0. 2.35 0. 0.
time (sec) N/A 0.254 0.041 0.179 0. 2.067 0. 0.
Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 371 371 91 0 0 783 0 0
normalized size 1 1. 0.25 0. 0. 2.11 0. 0.
time (sec) N/A 0.241 0.03 0.173 0. 1.865 0. 0.
Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 324 324 63 0 0 757 0 0
normalized size 1 1. 0.19 0. 0. 2.34 0. 0.
time (sec) N/A 0.206 0.028 0.173 0. 1.785 0. 0.
Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 299 299 39 0 0 644 0 0
normalized size 1 1. 0.13 0. 0. 2.15 0. 0.
time (sec) N/A 0.172 0.047 0.128 0. 1.71 0. 0.
Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 293 293 106 0 0 879 0 0
normalized size 1 1. 0.36 0. 0. 3. 0. 0.
time (sec) N/A 0.219 0.058 0.177 0. 1.863 0. 0.
Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 121 121 69 0 0 491 0 0
normalized size 1 1. 0.57 0. 0. 4.06 0. 0.
time (sec) N/A 0.039 0.017 0.175 0. 1.817 0. 0.
Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 163 163 81 0 0 543 0 0
normalized size 1 1. 0.5 0. 0. 3.33 0. 0.
time (sec) N/A 0.05 0.021 0.172 0. 1.79 0. 0.
Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 203 203 93 0 0 574 0 0
normalized size 1 1. 0.46 0. 0. 2.83 0. 0.
time (sec) N/A 0.079 0.025 0.174 0. 1.794 0. 0.
Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 233 233 99 0 0 610 0 0
normalized size 1 1. 0.42 0. 0. 2.62 0. 0.
time (sec) N/A 0.099 0.033 0.179 0. 1.755 0. 0.
Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 319 319 73 0 0 695 0 0
normalized size 1 1. 0.23 0. 0. 2.18 0. 0.
time (sec) N/A 0.384 0.034 0.055 0. 1.762 0. 0.
Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 278 278 57 0 0 645 0 0
normalized size 1 1. 0.21 0. 0. 2.32 0. 0.
time (sec) N/A 0.338 0.023 0.05 0. 1.787 0. 0.
Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 262 262 34 0 0 636 0 0
normalized size 1 1. 0.13 0. 0. 2.43 0. 0.
time (sec) N/A 0.31 0.017 0.044 0. 1.691 0. 0.
Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 430 430 90 0 0 1108 0 0
normalized size 1 1. 0.21 0. 0. 2.58 0. 0.
time (sec) N/A 0.458 0.031 0.054 0. 1.79 0. 0.
Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 253 253 64 0 0 635 0 0
normalized size 1 1. 0.25 0. 0. 2.51 0. 0.
time (sec) N/A 0.156 0.013 0.049 0. 1.735 0. 0.
Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 280 280 72 0 0 672 0 0
normalized size 1 1. 0.26 0. 0. 2.4 0. 0.
time (sec) N/A 0.176 0.017 0.049 0. 1.733 0. 0.
Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 319 319 81 0 0 733 0 0
normalized size 1 1. 0.25 0. 0. 2.3 0. 0.
time (sec) N/A 0.2 0.022 0.056 0. 1.736 0. 0.
Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 177 177 73 0 0 397 0 0
normalized size 1 1. 0.41 0. 0. 2.24 0. 0.
time (sec) N/A 0.055 0.032 0.049 0. 1.689 0. 0.
Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 140 140 54 0 0 362 0 0
normalized size 1 1. 0.39 0. 0. 2.59 0. 0.
time (sec) N/A 0.036 0.02 0.05 0. 1.697 0. 0.
Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 116 116 34 0 0 346 0 0
normalized size 1 1. 0.29 0. 0. 2.98 0. 0.
time (sec) N/A 0.021 0.017 0.043 0. 1.703 0. 0.
Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 163 163 90 0 0 423 0 0
normalized size 1 1. 0.55 0. 0. 2.6 0. 0.
time (sec) N/A 0.04 0.03 0.047 0. 1.656 0. 0.
Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 111 111 59 0 0 352 0 0
normalized size 1 1. 0.53 0. 0. 3.17 0. 0.
time (sec) N/A 0.029 0.012 0.047 0. 1.7 0. 0.
Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 142 142 69 0 0 387 0 0
normalized size 1 1. 0.49 0. 0. 2.73 0. 0.
time (sec) N/A 0.04 0.014 0.05 0. 1.683 0. 0.
Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 741 741 83 0 0 1531 0 0
normalized size 1 1. 0.11 0. 0. 2.07 0. 0.
time (sec) N/A 0.733 0.038 0.074 0. 1.901 0. 0.
Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 689 689 63 0 0 1304 0 0
normalized size 1 1. 0.09 0. 0. 1.89 0. 0.
time (sec) N/A 0.495 0.022 0.068 0. 1.897 0. 0.
Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 674 674 41 0 0 1115 0 0
normalized size 1 1. 0.06 0. 0. 1.65 0. 0.
time (sec) N/A 0.434 0.022 0.05 0. 1.798 0. 0.
Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 859 859 97 0 0 1423 0 0
normalized size 1 1. 0.11 0. 0. 1.66 0. 0.
time (sec) N/A 0.546 0.034 0.064 0. 1.887 0. 0.
Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 328 328 71 0 0 819 0 0
normalized size 1 1. 0.22 0. 0. 2.5 0. 0.
time (sec) N/A 0.132 0.016 0.063 0. 1.822 0. 0.
Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 364 364 84 0 0 883 0 0
normalized size 1 1. 0.23 0. 0. 2.43 0. 0.
time (sec) N/A 0.161 0.022 0.065 0. 1.83 0. 0.
Problem 134 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 114 114 94 748 0 0 0 0
normalized size 1 1. 0.82 6.56 0. 0. 0. 0.
time (sec) N/A 0.095 0.045 0.625 0. 0. 0. 0.
Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 58 417 0 0 0 0
normalized size 1 1. 1.16 8.34 0. 0. 0. 0.
time (sec) N/A 0.042 0.021 0.516 0. 0. 0. 0.
Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 29 175 0 0 269 0
normalized size 1 1. 0.74 4.49 0. 0. 6.9 0.
time (sec) N/A 0.023 0.007 0.463 0. 0. 3.935 0.
Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 29 158 0 0 578 0
normalized size 1 1. 0.74 4.05 0. 0. 14.82 0.
time (sec) N/A 0.023 0.008 0.382 0. 0. 31.517 0.
Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 58 428 0 0 0 0
normalized size 1 1. 1.16 8.56 0. 0. 0. 0.
time (sec) N/A 0.039 0.021 0.536 0. 0. 0. 0.
Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A C F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 94 1196 0 0 0 0
normalized size 1 1. 0.82 10.4 0. 0. 0. 0.
time (sec) N/A 0.09 0.034 0.657 0. 0. 0. 0.
Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 159 159 113 146 0 0 0 0
normalized size 1 1. 0.71 0.92 0. 0. 0. 0.
time (sec) N/A 0.774 0.077 0.438 0. 0. 0. 0.
Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F F A F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 79 79 85 71 0 0 95 0
normalized size 1 1. 1.08 0.9 0. 0. 1.2 0.
time (sec) N/A 0.041 0.037 0.293 0. 0. 3.366 0.
Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 79 79 85 0 0 0 0 0
normalized size 1 1. 1.08 0. 0. 0. 0. 0.
time (sec) N/A 0.04 0.041 0.414 0. 0. 0. 0.
Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F F F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 159 159 113 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.705 0.071 0.41 0. 0. 0. 0.
Problem 144 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 36 36 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.027 0.207 0.132 0. 0. 0. 0.
Problem 145 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 36 36 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.182 0.059 0. 0. 0. 0.
Problem 146 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 36 36 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.174 0.126 0. 0. 0. 0.
Problem 147 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 36 36 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.186 0.134 0. 0. 0. 0.
Problem 148 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 36 36 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.025 0.199 0.128 0. 0. 0. 0.
Problem 149 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 36 36 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.232 0.164 0. 0. 0. 0.
Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 38 38 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.195 0.181 0. 0. 0. 0.
Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F F
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 38 38 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.023 0.198 0.167 0. 0. 0. 0.
Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A F F F F F(-1) F(-2)
verified N/A Yes N/A TBD TBD TBD TBD TBD
size 36 36 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.025 0.171 0.06 0. 0. 0. 0.
Problem 153 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 40 40 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.028 0.22 0.119 0. 0. 0. 0.
Problem 154 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 171 171 210 0 0 0 0 0
normalized size 1 1. 1.23 0. 0. 0. 0. 0.
time (sec) N/A 0.114 0.18 0.083 0. 0. 0. 0.
Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 116 0 0 0 0 0
normalized size 1 1. 0.73 0. 0. 0. 0. 0.
time (sec) N/A 0.086 0.049 0.082 0. 0. 0. 0.
Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 105 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.046 0.025 0.074 0. 0. 0. 0.
Problem 157 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 71 71 53 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.013 0.029 0.067 0. 0. 0. 0.
Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 125 125 106 0 0 0 0 0
normalized size 1 1. 0.85 0. 0. 0. 0. 0.
time (sec) N/A 0.05 0.026 0.166 0. 0. 0. 0.
Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 82 0 0 0 0 0
normalized size 1 1. 1.04 0. 0. 0. 0. 0.
time (sec) N/A 0.031 0.015 0.174 0. 0. 0. 0.
Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 114 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.049 0.03 0.179 0. 0. 0. 0.
Problem 161 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 171 171 119 0 0 0 0 0
normalized size 1 1. 0.7 0. 0. 0. 0. 0.
time (sec) N/A 0.072 0.055 0.19 0. 0. 0. 0.
Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 276 276 217 656 0 520 0 289
normalized size 1 1. 0.79 2.38 0. 1.88 0. 1.05
time (sec) N/A 0.201 0.492 0.138 0. 1.784 0. 1.157
Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 201 201 176 465 0 386 0 220
normalized size 1 1. 0.88 2.31 0. 1.92 0. 1.09
time (sec) N/A 0.192 0.273 0.117 0. 1.719 0. 1.173
Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 171 171 135 302 0 278 0 158
normalized size 1 1. 0.79 1.77 0. 1.63 0. 0.92
time (sec) N/A 0.125 0.134 0.117 0. 1.693 0. 1.151
Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 110 110 108 171 0 200 0 103
normalized size 1 1. 0.98 1.55 0. 1.82 0. 0.94
time (sec) N/A 0.075 0.113 0.109 0. 1.65 0. 1.155
Problem 166 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 52 52 28 69 0 144 36 69
normalized size 1 1. 0.54 1.33 0. 2.77 0.69 1.33
time (sec) N/A 0.034 0.018 0.088 0. 1.676 2.802 1.162
Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 89 89 132 157 0 402 0 0
normalized size 1 1. 1.48 1.76 0. 4.52 0. 0.
time (sec) N/A 0.075 0.135 0.105 0. 1.693 0. 0.
Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 130 130 115 236 0 545 0 0
normalized size 1 1. 0.88 1.82 0. 4.19 0. 0.
time (sec) N/A 0.064 0.082 0.109 0. 1.705 0. 0.
Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 201 201 149 405 0 1103 0 0
normalized size 1 1. 0.74 2.01 0. 5.49 0. 0.
time (sec) N/A 0.138 0.118 0.113 0. 1.83 0. 0.
Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 283 283 242 611 0 1767 0 0
normalized size 1 1. 0.86 2.16 0. 6.24 0. 0.
time (sec) N/A 0.183 0.263 0.118 0. 1.824 0. 0.
Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 92 347 203 284 2315 176
normalized size 1 1. 1. 3.77 2.21 3.09 25.16 1.91
time (sec) N/A 0.083 0.067 0.039 1.499 1.576 13.475 1.113
Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 72 255 159 201 1212 119
normalized size 1 1. 1. 3.54 2.21 2.79 16.83 1.65
time (sec) N/A 0.059 0.058 0.038 1.46 1.552 6.433 1.096
Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 54 176 117 132 513 77
normalized size 1 1. 1. 3.26 2.17 2.44 9.5 1.43
time (sec) N/A 0.048 0.032 0.037 1.503 1.62 2.694 1.091
Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 107 89 88 148 49
normalized size 1 1. 1. 2.89 2.41 2.38 4. 1.32
time (sec) N/A 0.03 0.019 0.038 1.462 1.878 1.034 1.09
Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 20 20 32 51 62 50 14 23
normalized size 1 1. 1.6 2.55 3.1 2.5 0.7 1.15
time (sec) N/A 0.012 0.011 0.039 1.457 1.732 0.373 1.112
Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 31 149 108 73 1538 49
normalized size 1 1. 0.82 3.92 2.84 1.92 40.47 1.29
time (sec) N/A 0.034 0.018 0.043 1.479 1.812 2.541 1.116
Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 39 260 169 111 3550 92
normalized size 1 1. 0.71 4.73 3.07 2.02 64.55 1.67
time (sec) N/A 0.041 0.025 0.044 1.512 1.937 8.194 1.092
Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 63 406 254 181 0 132
normalized size 1 1. 0.83 5.34 3.34 2.38 0. 1.74
time (sec) N/A 0.049 0.032 0.048 1.492 1.939 0. 1.136
Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 88 560 355 247 0 184
normalized size 1 1. 0.95 6.02 3.82 2.66 0. 1.98
time (sec) N/A 0.056 0.046 0.052 1.532 1.911 0. 1.096
Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 324 324 249 933 0 822 0 525
normalized size 1 1. 0.77 2.88 0. 2.54 0. 1.62
time (sec) N/A 0.267 0.447 0.131 0. 2.056 0. 1.169
Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 249 249 201 711 0 633 0 446
normalized size 1 1. 0.81 2.86 0. 2.54 0. 1.79
time (sec) N/A 0.242 0.261 0.129 0. 2.077 0. 1.185
Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 227 227 160 519 0 489 0 375
normalized size 1 1. 0.7 2.29 0. 2.15 0. 1.65
time (sec) N/A 0.169 0.236 0.12 0. 2.018 0. 1.162
Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 163 163 132 358 0 366 0 319
normalized size 1 1. 0.81 2.2 0. 2.25 0. 1.96
time (sec) N/A 0.12 0.163 0.116 0. 2.035 0. 1.157
Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 94 94 45 362 0 265 0 262
normalized size 1 1. 0.48 3.85 0. 2.82 0. 2.79
time (sec) N/A 0.042 0.039 0.092 0. 2.16 0. 1.169
Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 134 134 229 818 0 983 0 0
normalized size 1 1. 1.71 6.1 0. 7.34 0. 0.
time (sec) N/A 0.095 0.714 0.11 0. 2.501 0. 0.
Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 176 176 143 1358 0 1030 0 0
normalized size 1 1. 0.81 7.72 0. 5.85 0. 0.
time (sec) N/A 0.083 0.151 0.117 0. 2.405 0. 0.
Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 264 264 180 1955 0 1462 0 0
normalized size 1 1. 0.68 7.41 0. 5.54 0. 0.
time (sec) N/A 0.158 0.206 0.116 0. 2.399 0. 0.
Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 338 338 277 2624 0 2215 0 0
normalized size 1 1. 0.82 7.76 0. 6.55 0. 0.
time (sec) N/A 0.27 0.421 0.119 0. 2.627 0. 0.
Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 276 276 248 1208 616 524 0 289
normalized size 1 1. 0.9 4.38 2.23 1.9 0. 1.05
time (sec) N/A 0.225 0.758 0.223 1.632 2.36 0. 1.127
Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 201 201 202 894 416 389 0 220
normalized size 1 1. 1. 4.45 2.07 1.94 0. 1.09
time (sec) N/A 0.194 0.472 0.122 1.563 2.239 0. 1.132
Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 171 171 162 605 217 282 0 158
normalized size 1 1. 0.95 3.54 1.27 1.65 0. 0.92
time (sec) N/A 0.126 0.281 0.124 1.511 2.284 0. 1.127
Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 110 110 131 350 131 200 0 105
normalized size 1 1. 1.19 3.18 1.19 1.82 0. 0.95
time (sec) N/A 0.076 0.129 0.08 1.513 2.291 0. 1.13
Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 28 122 47 146 0 70
normalized size 1 1. 0.54 2.35 0.9 2.81 0. 1.35
time (sec) N/A 0.034 0.019 0.054 1.499 2.17 0. 1.123
Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 89 89 132 283 0 404 0 104
normalized size 1 1. 1.48 3.18 0. 4.54 0. 1.17
time (sec) N/A 0.065 0.079 0.116 0. 2.32 0. 1.169
Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 130 130 114 602 0 545 0 0
normalized size 1 1. 0.88 4.63 0. 4.19 0. 0.
time (sec) N/A 0.064 0.053 0.145 0. 2.248 0. 0.
Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 201 201 149 1146 0 1106 0 0
normalized size 1 1. 0.74 5.7 0. 5.5 0. 0.
time (sec) N/A 0.117 0.111 0.124 0. 2.365 0. 0.
Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 283 282 251 1738 0 1766 0 0
normalized size 1 1. 0.89 6.14 0. 6.24 0. 0.
time (sec) N/A 0.183 0.232 0.129 0. 2.452 0. 0.
Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 99 99 95 292 138 286 2315 317
normalized size 1 1. 0.96 2.95 1.39 2.89 23.38 3.2
time (sec) N/A 0.086 0.07 0.043 1.022 2.026 13.427 1.126
Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 77 211 100 203 1212 234
normalized size 1 1. 1. 2.74 1.3 2.64 15.74 3.04
time (sec) N/A 0.059 0.058 0.043 1.05 2.126 6.412 1.094
Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 55 143 70 135 513 162
normalized size 1 1. 0.93 2.42 1.19 2.29 8.69 2.75
time (sec) N/A 0.048 0.034 0.043 1.03 2.121 2.692 1.125
Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 40 85 49 89 148 108
normalized size 1 1. 1. 2.12 1.22 2.22 3.7 2.7
time (sec) N/A 0.032 0.02 0.043 1.024 2.194 1.029 1.116
Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 23 23 32 40 26 50 15 51
normalized size 1 1. 1.39 1.74 1.13 2.17 0.65 2.22
time (sec) N/A 0.013 0.011 0.042 0.987 2.094 0.378 1.104
Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 34 74 63 73 1538 104
normalized size 1 1. 0.83 1.8 1.54 1.78 37.51 2.54
time (sec) N/A 0.036 0.019 0.063 1.021 2.22 2.543 1.099
Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 42 152 153 109 3550 143
normalized size 1 1. 0.68 2.45 2.47 1.76 57.26 2.31
time (sec) N/A 0.042 0.023 0.052 1.016 2.142 8.056 1.111
Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 66 246 220 181 0 212
normalized size 1 1. 0.81 3.04 2.72 2.23 0. 2.62
time (sec) N/A 0.052 0.036 0.053 1.031 2.183 0. 1.108
Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 91 349 300 248 0 273
normalized size 1 1. 0.89 3.42 2.94 2.43 0. 2.68
time (sec) N/A 0.061 0.046 0.054 1.058 2.121 0. 1.132
Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 324 324 299 2058 1847 818 0 536
normalized size 1 1. 0.92 6.35 5.7 2.52 0. 1.65
time (sec) N/A 0.281 0.478 0.138 1.66 2.402 0. 1.141
Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 249 249 244 1529 1322 635 0 459
normalized size 1 1. 0.98 6.14 5.31 2.55 0. 1.84
time (sec) N/A 0.246 0.354 0.102 1.658 2.363 0. 1.162
Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 229 229 198 1026 842 485 0 386
normalized size 1 1. 0.86 4.48 3.68 2.12 0. 1.69
time (sec) N/A 0.168 0.295 0.094 1.567 2.439 0. 1.176
Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 163 163 157 676 396 367 0 325
normalized size 1 1. 0.96 4.15 2.43 2.25 0. 1.99
time (sec) N/A 0.119 0.3 0.086 1.55 2.344 0. 1.154
Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 94 94 45 329 139 262 0 265
normalized size 1 1. 0.48 3.5 1.48 2.79 0. 2.82
time (sec) N/A 0.044 0.035 0.062 1.489 2.226 0. 1.142
Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 134 134 172 1278 0 980 0 0
normalized size 1 1. 1.28 9.54 0. 7.31 0. 0.
time (sec) N/A 0.094 0.545 0.13 0. 2.501 0. 0.
Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 178 178 135 1917 0 1029 0 0
normalized size 1 1. 0.76 10.77 0. 5.78 0. 0.
time (sec) N/A 0.085 0.171 0.132 0. 2.376 0. 0.
Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 264 264 184 3042 0 1458 0 0
normalized size 1 1. 0.7 11.52 0. 5.52 0. 0.
time (sec) N/A 0.16 0.222 0.135 0. 2.488 0. 0.
Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 339 339 268 4390 0 2219 0 0
normalized size 1 1. 0.79 12.95 0. 6.55 0. 0.
time (sec) N/A 0.271 0.387 0.142 0. 2.679 0. 0.
Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 494 494 121 0 0 1432 0 0
normalized size 1 1. 0.24 0. 0. 2.9 0. 0.
time (sec) N/A 0.405 0.085 0.312 0. 2.461 0. 0.
Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 410 410 81 0 0 1015 0 0
normalized size 1 1. 0.2 0. 0. 2.48 0. 0.
time (sec) N/A 0.307 0.046 0.224 0. 2.334 0. 0.
Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 338 338 45 0 0 636 0 0
normalized size 1 1. 0.13 0. 0. 1.88 0. 0.
time (sec) N/A 0.195 0.016 0.194 0. 2.355 0. 0.
Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 395 395 124 0 0 1141 0 0
normalized size 1 1. 0.31 0. 0. 2.89 0. 0.
time (sec) N/A 0.246 0.087 0.215 0. 2.442 0. 0.
Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 205 205 110 0 0 1575 0 0
normalized size 1 1. 0.54 0. 0. 7.68 0. 0.
time (sec) N/A 0.103 0.027 0.227 0. 2.376 0. 0.
Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 494 494 121 0 0 1571 0 0
normalized size 1 1. 0.24 0. 0. 3.18 0. 0.
time (sec) N/A 0.383 0.088 0.22 0. 2.519 0. 0.
Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 410 410 79 0 0 1123 0 0
normalized size 1 1. 0.19 0. 0. 2.74 0. 0.
time (sec) N/A 0.292 0.042 0.22 0. 2.316 0. 0.
Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 338 338 45 0 0 693 0 0
normalized size 1 1. 0.13 0. 0. 2.05 0. 0.
time (sec) N/A 0.197 0.017 0.232 0. 2.405 0. 0.
Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 427 427 122 0 0 1840 0 0
normalized size 1 1. 0.29 0. 0. 4.31 0. 0.
time (sec) N/A 0.251 0.096 0.218 0. 2.698 0. 0.
Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 211 211 106 0 0 1886 0 0
normalized size 1 1. 0.5 0. 0. 8.94 0. 0.
time (sec) N/A 0.108 0.022 0.24 0. 2.722 0. 0.
Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 494 494 99 0 0 1445 0 0
normalized size 1 1. 0.2 0. 0. 2.93 0. 0.
time (sec) N/A 0.401 0.088 0.23 0. 2.635 0. 0.
Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 410 410 84 0 0 1027 0 0
normalized size 1 1. 0.2 0. 0. 2.5 0. 0.
time (sec) N/A 0.307 0.04 0.233 0. 2.516 0. 0.
Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 338 338 45 0 0 649 0 0
normalized size 1 1. 0.13 0. 0. 1.92 0. 0.
time (sec) N/A 0.197 0.017 0.203 0. 2.549 0. 0.
Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 395 395 126 0 0 1296 0 0
normalized size 1 1. 0.32 0. 0. 3.28 0. 0.
time (sec) N/A 0.206 0.033 0.22 0. 2.825 0. 0.
Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 210 210 107 0 0 1875 0 0
normalized size 1 1. 0.51 0. 0. 8.93 0. 0.
time (sec) N/A 0.101 0.026 0.225 0. 2.691 0. 0.
Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 494 494 98 0 0 1566 0 0
normalized size 1 1. 0.2 0. 0. 3.17 0. 0.
time (sec) N/A 0.39 0.085 0.245 0. 2.739 0. 0.
Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 410 410 84 0 0 1115 0 0
normalized size 1 1. 0.2 0. 0. 2.72 0. 0.
time (sec) N/A 0.297 0.038 0.233 0. 2.641 0. 0.
Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 338 338 43 0 0 679 0 0
normalized size 1 1. 0.13 0. 0. 2.01 0. 0.
time (sec) N/A 0.197 0.017 0.211 0. 2.449 0. 0.
Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 427 427 128 0 0 1673 0 0
normalized size 1 1. 0.3 0. 0. 3.92 0. 0.
time (sec) N/A 0.24 0.036 0.234 0. 2.85 0. 0.
Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C F F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 211 211 107 0 0 1667 0 0
normalized size 1 1. 0.51 0. 0. 7.9 0. 0.
time (sec) N/A 0.118 0.026 0.232 0. 2.622 0. 0.
Problem 236 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 140 140 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.074 0.807 0.131 0. 0. 0. 0.
Problem 237 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 260 260 272 0 0 0 0 0
normalized size 1 1. 1.05 0. 0. 0. 0. 0.
time (sec) N/A 0.186 0.3 0.197 0. 0. 0. 0.
Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 220 220 160 0 0 0 0 0
normalized size 1 1. 0.73 0. 0. 0. 0. 0.
time (sec) N/A 0.139 0.135 0.063 0. 0. 0. 0.
Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 128 0 0 0 0 0
normalized size 1 1. 0.87 0. 0. 0. 0. 0.
time (sec) N/A 0.067 0.114 0.059 0. 0. 0. 0.
Problem 240 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 91 91 60 0 0 0 0 0
normalized size 1 1. 0.66 0. 0. 0. 0. 0.
time (sec) N/A 0.014 0.028 0.055 0. 0. 0. 0.
Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 170 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.074 0.034 0.198 0. 0. 0. 0.
Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 125 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.043 0.022 0.193 0. 0. 0. 0.
Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 207 207 173 0 0 0 0 0
normalized size 1 1. 0.84 0. 0. 0. 0. 0.
time (sec) N/A 0.109 0.064 0.205 0. 0. 0. 0.
Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 102 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.075 0.028 0.322 0. 0. 0. 0.
Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 63 63 63 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.014 0.184 0. 0. 0. 0.
Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 61 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.011 0.056 0. 0. 0. 0.
Problem 247 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 60 60 45 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.011 0.015 0.051 0. 0. 0. 0.
Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F(-2) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 13 13 35 13 16 31 0 16
normalized size 1 1. 2.69 1. 1.23 2.38 0. 1.23
time (sec) N/A 0.026 0.007 0.036 1.491 2.044 0. 1.11
Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 50 50 60 39 0 90 0 0
normalized size 1 1. 1.2 0.78 0. 1.8 0. 0.
time (sec) N/A 0.05 0.024 0.036 0. 2.09 0. 0.
Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 83 83 114 55 0 153 0 0
normalized size 1 1. 1.37 0.66 0. 1.84 0. 0.
time (sec) N/A 0.078 0.249 0.036 0. 2.023 0. 0.
Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 116 116 123 71 0 220 0 0
normalized size 1 1. 1.06 0.61 0. 1.9 0. 0.
time (sec) N/A 0.11 0.264 0.038 0. 1.969 0. 0.
Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 149 149 153 87 0 304 0 0
normalized size 1 1. 1.03 0.58 0. 2.04 0. 0.
time (sec) N/A 0.14 0.258 0.037 0. 1.972 0. 0.
Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 98 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.075 0.023 0.282 0. 0. 0. 0.
Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 97 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.07 0.018 0.28 0. 0. 0. 0.
Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 93 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.071 0.02 0.29 0. 0. 0. 0.
Problem 256 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 35 35 35 37 0 99 0 0
normalized size 1 1. 1. 1.06 0. 2.83 0. 0.
time (sec) N/A 0.036 0.015 0.038 0. 1.875 0. 0.
Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 60 54 0 157 0 0
normalized size 1 1. 0.83 0.75 0. 2.18 0. 0.
time (sec) N/A 0.073 0.034 0.036 0. 2.081 0. 0.
Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 79 70 0 215 0 0
normalized size 1 1. 0.73 0.65 0. 1.99 0. 0.
time (sec) N/A 0.113 0.035 0.036 0. 2.019 0. 0.
Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 90 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.07 0.024 0.279 0. 0. 0. 0.
Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 53 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.013 0.191 0. 0. 0. 0.
Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 51 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.012 0.057 0. 0. 0. 0.
Problem 262 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 46 46 37 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.012 0.019 0.054 0. 0. 0. 0.
Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F(-2) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 18 18 34 16 20 39 0 20
normalized size 1 1. 1.89 0.89 1.11 2.17 0. 1.11
time (sec) N/A 0.028 0.006 0.034 1.526 2.008 0. 1.083
Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 53 53 55 40 0 90 0 0
normalized size 1 1. 1.04 0.75 0. 1.7 0. 0.
time (sec) N/A 0.057 0.018 0.037 0. 1.929 0. 0.
Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 88 88 86 57 0 153 0 0
normalized size 1 1. 0.98 0.65 0. 1.74 0. 0.
time (sec) N/A 0.089 0.117 0.037 0. 2.124 0. 0.
Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-2) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 123 123 122 73 0 212 0 0
normalized size 1 1. 0.99 0.59 0. 1.72 0. 0.
time (sec) N/A 0.12 0.245 0.039 0. 2.029 0. 0.
Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 88 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.08 0.021 0.279 0. 0. 0. 0.
Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 87 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.074 0.018 0.276 0. 0. 0. 0.
Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 87 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 0.018 0.28 0. 0. 0. 0.
Problem 270 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 37 37 37 39 0 101 0 0
normalized size 1 1. 1. 1.05 0. 2.73 0. 0.
time (sec) N/A 0.04 0.016 0.039 0. 2.029 0. 0.
Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 62 56 0 163 0 0
normalized size 1 1. 0.82 0.74 0. 2.14 0. 0.
time (sec) N/A 0.081 0.034 0.04 0. 2.018 0. 0.
Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 114 114 81 72 0 228 0 0
normalized size 1 1. 0.71 0.63 0. 2. 0. 0.
time (sec) N/A 0.125 0.038 0.037 0. 1.867 0. 0.
Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 102 0 0 0 0 0
normalized size 1 1. 1.01 0. 0. 0. 0. 0.
time (sec) N/A 0.073 0.026 0.323 0. 0. 0. 0.
Problem 274 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 63 63 63 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.014 0.19 0. 0. 0. 0.
Problem 275 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 61 61 61 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.013 0.058 0. 0. 0. 0.
Problem 276 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 60 60 45 0 0 0 0 0
normalized size 1 1. 0.75 0. 0. 0. 0. 0.
time (sec) N/A 0.011 0.021 0.052 0. 0. 0. 0.
Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F(-2) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 16 16 36 16 31 34 0 20
normalized size 1 1. 2.25 1. 1.94 2.12 0. 1.25
time (sec) N/A 0.027 0.008 0.038 1.047 1.969 0. 1.093
Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 54 54 60 41 0 93 0 0
normalized size 1 1. 1.11 0.76 0. 1.72 0. 0.
time (sec) N/A 0.054 0.022 0.036 0. 1.79 0. 0.
Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 89 89 91 57 0 155 0 0
normalized size 1 1. 1.02 0.64 0. 1.74 0. 0.
time (sec) N/A 0.083 0.148 0.036 0. 2.036 0. 0.
Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 124 124 127 73 0 223 0 0
normalized size 1 1. 1.02 0.59 0. 1.8 0. 0.
time (sec) N/A 0.119 0.347 0.039 0. 1.986 0. 0.
Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 98 98 98 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 0.022 0.301 0. 0. 0. 0.
Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 97 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.071 0.018 0.288 0. 0. 0. 0.
Problem 283 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 93 93 93 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.076 0.021 0.286 0. 0. 0. 0.
Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 37 39 0 100 0 0
normalized size 1 1. 0.97 1.03 0. 2.63 0. 0.
time (sec) N/A 0.039 0.02 0.035 0. 2.035 0. 0.
Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 62 56 0 158 0 0
normalized size 1 1. 0.81 0.73 0. 2.05 0. 0.
time (sec) N/A 0.08 0.042 0.036 0. 2.022 0. 0.
Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 81 72 0 216 0 0
normalized size 1 1. 0.7 0.63 0. 1.88 0. 0.
time (sec) N/A 0.124 0.046 0.039 0. 1.951 0. 0.
Problem 287 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 90 90 90 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.068 0.022 0.326 0. 0. 0. 0.
Problem 288 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 53 53 53 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 0.014 0.192 0. 0. 0. 0.
Problem 289 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 51 51 51 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.026 0.012 0.059 0. 0. 0. 0.
Problem 290 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 46 46 37 0 0 0 0 0
normalized size 1 1. 0.8 0. 0. 0. 0. 0.
time (sec) N/A 0.011 0.021 0.051 0. 0. 0. 0.
Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F(-2) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 18 18 34 18 31 42 0 20
normalized size 1 1. 1.89 1. 1.72 2.33 0. 1.11
time (sec) N/A 0.028 0.008 0.036 1.064 1.953 0. 1.119
Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 54 54 55 42 0 93 0 0
normalized size 1 1. 1.02 0.78 0. 1.72 0. 0.
time (sec) N/A 0.058 0.021 0.038 0. 2.039 0. 0.
Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 89 89 85 59 0 155 0 0
normalized size 1 1. 0.96 0.66 0. 1.74 0. 0.
time (sec) N/A 0.088 0.145 0.038 0. 2.083 0. 0.
Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 124 124 121 75 0 215 0 0
normalized size 1 1. 0.98 0.6 0. 1.73 0. 0.
time (sec) N/A 0.121 0.322 0.039 0. 1.998 0. 0.
Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 88 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.079 0.024 0.3 0. 0. 0. 0.
Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 87 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.072 0.018 0.283 0. 0. 0. 0.
Problem 297 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 87 87 87 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.075 0.021 0.285 0. 0. 0. 0.
Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 37 41 0 103 0 0
normalized size 1 1. 0.97 1.08 0. 2.71 0. 0.
time (sec) N/A 0.039 0.021 0.036 0. 1.947 0. 0.
Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 77 77 62 58 0 165 0 0
normalized size 1 1. 0.81 0.75 0. 2.14 0. 0.
time (sec) N/A 0.08 0.046 0.037 0. 1.86 0. 0.
Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 81 74 0 230 0 0
normalized size 1 1. 0.7 0.64 0. 2. 0. 0.
time (sec) N/A 0.125 0.049 0.038 0. 1.974 0. 0.
Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 42 45 85 115 41 41
normalized size 1 1. 0.84 0.9 1.7 2.3 0.82 0.82
time (sec) N/A 0.043 0.022 0.049 1.489 1.851 0.589 1.118
Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A B A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 73 73 48 113 163 204 0 32
normalized size 1 1. 0.66 1.55 2.23 2.79 0. 0.44
time (sec) N/A 0.039 0.012 0.067 0.995 1.886 0. 1.14
Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 40 59 69 22 34
normalized size 1 1. 1. 1.33 1.97 2.3 0.73 1.13
time (sec) N/A 0.038 0.014 0.044 1.477 1.775 0.458 1.116
Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 41 41 52 63 66 126 0 0
normalized size 1 1. 1.27 1.54 1.61 3.07 0. 0.
time (sec) N/A 0.035 0.03 0.064 0.988 1.767 0. 0.
Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 26 32 30 12 18
normalized size 1 1. 1. 1.73 2.13 2. 0.8 1.2
time (sec) N/A 0.029 0.005 0.033 1.497 1.782 0.09 1.099
Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 26 16 31 12 18
normalized size 1 1. 1. 1.62 1. 1.94 0.75 1.12
time (sec) N/A 0.032 0.005 0.033 0.973 1.701 0.07 1.115
Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 41 41 56 143 45 126 0 0
normalized size 1 1. 1.37 3.49 1.1 3.07 0. 0.
time (sec) N/A 0.035 0.058 0.068 1.467 1.956 0. 0.
Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 41 55 68 24 38
normalized size 1 1. 1. 1.28 1.72 2.12 0.75 1.19
time (sec) N/A 0.038 0.015 0.043 0.979 1.726 0.388 1.091
Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 73 73 82 262 146 204 0 32
normalized size 1 1. 1.12 3.59 2. 2.79 0. 0.44
time (sec) N/A 0.038 0.072 0.069 1.549 1.95 0. 1.152
Problem 310 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 131 131 69 84 0 815 0 0
normalized size 1 1. 0.53 0.64 0. 6.22 0. 0.
time (sec) N/A 0.083 0.033 0.151 0. 2.217 0. 0.
Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C B F B F F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 96 96 71 800 0 417 0 0
normalized size 1 1. 0.74 8.33 0. 4.34 0. 0.
time (sec) N/A 0.085 0.022 0.229 0. 2.225 0. 0.
Problem 312 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 84 84 55 61 0 798 0 0
normalized size 1 1. 0.65 0.73 0. 9.5 0. 0.
time (sec) N/A 0.077 0.026 0.143 0. 2.262 0. 0.
Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F B F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 63 63 91 204 0 332 0 97
normalized size 1 1. 1.44 3.24 0. 5.27 0. 1.54
time (sec) N/A 0.06 0.027 0.172 0. 2.009 0. 1.141
Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 42 53 0 575 0 0
normalized size 1 1. 1. 1.26 0. 13.69 0. 0.
time (sec) N/A 0.065 0.013 0.125 0. 2.1 0. 0.
Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 43 42 20 578 0 0
normalized size 1 1. 1. 0.98 0.47 13.44 0. 0.
time (sec) N/A 0.066 0.016 0.109 0.998 2.255 0. 0.
Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 63 63 117 87 0 332 0 101
normalized size 1 1. 1.86 1.38 0. 5.27 0. 1.6
time (sec) N/A 0.061 0.058 0.201 0. 1.993 0. 1.323
Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 60 66 47 801 0 0
normalized size 1 1. 0.7 0.77 0.55 9.31 0. 0.
time (sec) N/A 0.076 0.028 0.142 0.999 2.255 0. 0.
Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-1) F(-2)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 96 96 132 136 0 417 0 0
normalized size 1 1. 1.38 1.42 0. 4.34 0. 0.
time (sec) N/A 0.078 0.08 0.172 0. 2.164 0. 0.
Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 35 35 24 20 80 84 44 26
normalized size 1 1. 0.69 0.57 2.29 2.4 1.26 0.74
time (sec) N/A 0.038 0.016 0.049 1.511 1.914 0.647 1.117
Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 47 269 128 176 0 150
normalized size 1 1. 0.7 4.01 1.91 2.63 0. 2.24
time (sec) N/A 0.039 0.015 0.067 0.996 1.869 0. 1.162
Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 18 15 47 45 26 18
normalized size 1 1. 0.95 0.79 2.47 2.37 1.37 0.95
time (sec) N/A 0.032 0.018 0.047 1.48 1.789 0.59 1.098
Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 48 104 61 117 0 89
normalized size 1 1. 0.72 1.55 0.91 1.75 0. 1.33
time (sec) N/A 0.039 0.013 0.062 0.967 1.946 0. 1.148
Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 21 38 38 116 39 55
normalized size 1 1. 0.75 1.36 1.36 4.14 1.39 1.96
time (sec) N/A 0.042 0.016 0.037 1.456 1.939 0.474 1.11
Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 21 25 0 116 36 59
normalized size 1 1. 0.72 0.86 0. 4. 1.24 2.03
time (sec) N/A 0.041 0.016 0.053 0. 1.833 0.404 1.119
Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 48 93 80 117 0 93
normalized size 1 1. 0.72 1.39 1.19 1.75 0. 1.39
time (sec) N/A 0.04 0.014 0.067 1.475 1.896 0. 1.217
Problem 326 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 19 19 18 16 18 46 27 19
normalized size 1 1. 0.95 0.84 0.95 2.42 1.42 1.
time (sec) N/A 0.032 0.018 0.033 1.008 1.671 0.395 1.096
Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 47 92 135 176 0 150
normalized size 1 1. 0.7 1.37 2.01 2.63 0. 2.24
time (sec) N/A 0.039 0.014 0.062 0.979 1.924 0. 1.187
Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 56 48 0 220 0 0
normalized size 1 1. 0.59 0.51 0. 2.32 0. 0.
time (sec) N/A 0.08 0.029 0.15 0. 2.05 0. 0.
Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 69 69 77 940 0 149 0 182
normalized size 1 1. 1.12 13.62 0. 2.16 0. 2.64
time (sec) N/A 0.065 0.034 0.082 0. 2.836 0. 1.13
Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 57 44 0 150 0 0
normalized size 1 1. 1.16 0.9 0. 3.06 0. 0.
time (sec) N/A 0.069 0.036 0.056 0. 2.16 0. 0.
Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 54 54 78 398 0 101 0 103
normalized size 1 1. 1.44 7.37 0. 1.87 0. 1.91
time (sec) N/A 0.055 0.027 0.074 0. 2.38 0. 1.145
Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 51 58 0 698 0 0
normalized size 1 1. 0.58 0.66 0. 7.93 0. 0.
time (sec) N/A 0.081 0.031 0.138 0. 2.442 0. 0.
Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 60 86 70 698 0 0
normalized size 1 1. 0.67 0.97 0.79 7.84 0. 0.
time (sec) N/A 0.081 0.034 0.154 1.023 2.472 0. 0.
Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 54 54 78 137 0 101 0 105
normalized size 1 1. 1.44 2.54 0. 1.87 0. 1.94
time (sec) N/A 0.055 0.033 0.07 0. 2.381 0. 1.223
Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 57 45 39 151 0 0
normalized size 1 1. 1.16 0.92 0.8 3.08 0. 0.
time (sec) N/A 0.072 0.041 0.041 1.023 2.237 0. 0.
Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) A F(-1) B
verified N/A Yes NO TBD TBD TBD TBD TBD
size 69 69 77 307 0 149 0 181
normalized size 1 1. 1.12 4.45 0. 2.16 0. 2.62
time (sec) N/A 0.066 0.039 0.072 0. 2.755 0. 1.155
Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 90 0 0 0 0 0
normalized size 1 1. 1.05 0. 0. 0. 0. 0.
time (sec) N/A 0.053 0.023 0.191 0. 0. 0. 0.
Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 84 84 88 0 0 0 0 0
normalized size 1 1. 1.05 0. 0. 0. 0. 0.
time (sec) N/A 0.039 0.016 0.064 0. 0. 0. 0.
Problem 339 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 81 81 56 0 0 0 0 0
normalized size 1 1. 0.69 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.018 0.055 0. 0. 0. 0.
Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 131 206 141 0 0 0 0 0
normalized size 1 1.57 1.08 0. 0. 0. 0. 0.
time (sec) N/A 0.227 0.113 0.266 0. 0. 0. 0.
Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 121 0 0 0 0 0
normalized size 1 1. 0.74 0. 0. 0. 0. 0.
time (sec) N/A 0.132 0.12 0.254 0. 0. 0. 0.
Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 109 0 0 0 0 0
normalized size 1 1. 0.89 0. 0. 0. 0. 0.
time (sec) N/A 0.078 0.06 0.318 0. 0. 0. 0.
Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A A A F(-2) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 18 18 42 18 23 36 0 23
normalized size 1 1. 2.33 1. 1.28 2. 0. 1.28
time (sec) N/A 0.03 0.007 0.04 1.524 2.239 0. 1.085
Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A B A F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 65 132 120 0 0 0 0 0
normalized size 1 2.03 1.85 0. 0. 0. 0. 0.
time (sec) N/A 0.098 0.036 0.323 0. 0. 0. 0.
Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 90 180 142 0 0 0 0 0
normalized size 1 2. 1.58 0. 0. 0. 0. 0.
time (sec) N/A 0.137 0.046 0.326 0. 0. 0. 0.
Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A NO NO TBD TBD TBD TBD TBD
size 126 242 174 0 0 0 0 0
normalized size 1 1.92 1.38 0. 0. 0. 0. 0.
time (sec) N/A 0.183 0.068 0.346 0. 0. 0. 0.
Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A C A F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 181 181 165 166 0 666 0 0
normalized size 1 1. 0.91 0.92 0. 3.68 0. 0.
time (sec) N/A 0.175 0.44 0.04 0. 2.004 0. 0.
Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 118 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.104 0.105 0.285 0. 0. 0. 0.
Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 117 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.097 0.052 0.284 0. 0. 0. 0.
Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 117 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.098 0.035 0.286 0. 0. 0. 0.
Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F(-1) F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 283 283 217 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.311 0.247 0.286 0. 0. 0. 0.
Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 280 280 214 0 0 0 0 0
normalized size 1 1. 0.76 0. 0. 0. 0. 0.
time (sec) N/A 0.289 0.192 0.302 0. 0. 0. 0.
Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 322 322 248 0 0 0 0 0
normalized size 1 1. 0.77 0. 0. 0. 0. 0.
time (sec) N/A 0.357 0.292 0.29 0. 0. 0. 0.
Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 291 291 206 0 0 0 0 0
normalized size 1 1. 0.71 0. 0. 0. 0. 0.
time (sec) N/A 0.342 0.167 0.294 0. 0. 0. 0.
Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 187 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.187 0.137 0.289 0. 0. 0. 0.
Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 117 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.083 0.025 0.03 0. 0. 0. 0.
Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 120 0 0 0 0 0
normalized size 1 1. 0.99 0. 0. 0. 0. 0.
time (sec) N/A 0.203 0.043 0.287 0. 0. 0. 0.
Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 196 196 142 0 0 0 0 0
normalized size 1 1. 0.72 0. 0. 0. 0. 0.
time (sec) N/A 0.233 0.065 0.289 0. 0. 0. 0.
Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 281 281 159 0 0 0 0 0
normalized size 1 1. 0.57 0. 0. 0. 0. 0.
time (sec) N/A 0.253 0.077 0.293 0. 0. 0. 0.
Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F(-2)
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 120 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.107 0.063 0.255 0. 0. 0. 0.
Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 120 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.109 0.046 0.271 0. 0. 0. 0.
Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 120 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.111 0.043 0.341 0. 0. 0. 0.
Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 123 123 123 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.119 0.053 0.266 0. 0. 0. 0.
Problem 364 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 49 49 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.068 0.459 0.112 0. 0. 0. 0.
Problem 365 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 51 51 96 0 0 0 0 0
normalized size 1 1. 1.88 0. 0. 0. 0. 0.
time (sec) N/A 0.092 0.152 0.553 0. 0. 0. 0.
Problem 366 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 51 51 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.09 0.444 0.48 0. 0. 0. 0.
Problem 367 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 51 51 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.089 0.678 180. 0. 0. 0. 0.
Problem 368 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 79 79 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.194 0.33 0.309 0. 0. 0. 0.
Problem 369 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 82 82 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.211 0.433 0.309 0. 0. 0. 0.
Problem 370 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 82 82 0 0 0 0 0 0
normalized size 1 1. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.214 0.57 0.317 0. 0. 0. 0.
Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 115 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.087 0.032 0.31 0. 0. 0. 0.
Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 39 41 103 89 0 74
normalized size 1 1. 0.74 0.77 1.94 1.68 0. 1.4
time (sec) N/A 0.065 0.028 0.046 1.035 2.283 0. 1.131
Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 39 41 0 92 0 78
normalized size 1 1. 0.74 0.77 0. 1.74 0. 1.47
time (sec) N/A 0.061 0.025 0.046 0. 2.212 0. 1.144
Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 55 62 0 162 0 487
normalized size 1 1. 0.92 1.03 0. 2.7 0. 8.12
time (sec) N/A 0.112 0.024 0.06 0. 2.243 0. 1.142
Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 36 34 394 1139 0 429
normalized size 1 1. 0.95 0.89 10.37 29.97 0. 11.29
time (sec) N/A 0.079 1.055 0.342 2.013 10.849 0. 1.137
Problem 376 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 38 38 36 35 209 429 202 204
normalized size 1 1. 0.95 0.92 5.5 11.29 5.32 5.37
time (sec) N/A 0.078 0.193 0.13 1.587 2.491 111.484 1.144
Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 36 34 84 104 60 65
normalized size 1 1. 0.95 0.89 2.21 2.74 1.58 1.71
time (sec) N/A 0.077 0.031 0.051 1.504 2.023 0.859 1.159
Problem 378 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 36 62 0 104 56 119
normalized size 1 1. 0.95 1.63 0. 2.74 1.47 3.13
time (sec) N/A 0.077 0.033 0.053 0. 2.133 0.894 1.123
Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A B F(-2) B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 36 218 0 429 199 204
normalized size 1 1. 0.95 5.74 0. 11.29 5.24 5.37
time (sec) N/A 0.078 0.194 0.086 0. 2.565 110.205 1.119
Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 63 58 0 1369 0 0
normalized size 1 1. 0.97 0.89 0. 21.06 0. 0.
time (sec) N/A 0.201 0.482 0.098 0. 4.18 0. 0.
Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 65 58 0 436 0 0
normalized size 1 1. 1. 0.89 0. 6.71 0. 0.
time (sec) N/A 0.204 0.092 0.07 0. 2.396 0. 0.
Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 142 142 74 87 0 0 0 0
normalized size 1 1. 0.52 0.61 0. 0. 0. 0.
time (sec) N/A 0.219 0.051 0.161 0. 0. 0. 0.
Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 75 86 74 0 0 0
normalized size 1 1. 0.52 0.6 0.52 0. 0. 0.
time (sec) N/A 0.224 0.057 0.152 1.007 0. 0. 0.
Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A A B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 65 58 126 437 0 0
normalized size 1 1. 1. 0.89 1.94 6.72 0. 0.
time (sec) N/A 0.208 0.101 0.074 1.087 2.417 0. 0.
Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac
grade A A A A B B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 63 58 370 1370 0 0
normalized size 1 1. 0.97 0.89 5.69 21.08 0. 0.
time (sec) N/A 0.209 0.493 0.089 1.46 4.287 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 [131] had the largest ratio of [ 1.25 ]

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 6 4 1. 14 0.286
2 A 5 4 1. 14 0.286
3 A 7 5 1. 14 0.357
4 A 3 3 1. 12 0.25
5 A 3 3 1. 10 0.3
6 A 6 6 1. 14 0.429
7 A 5 5 1. 14 0.357
8 A 6 6 1. 14 0.429
9 A 7 6 1. 14 0.429
10 A 8 6 1. 14 0.429
11 A 3 2 1. 14 0.143
12 A 3 2 1. 14 0.143
13 A 3 2 1. 12 0.167
14 A 3 2 1. 10 0.2
15 A 3 2 1. 14 0.143
16 A 3 2 1. 14 0.143
17 A 3 2 1. 14 0.143
18 A 3 2 1. 14 0.143
19 A 14 11 1. 14 0.786
20 A 10 9 1. 14 0.643
21 A 9 7 1. 12 0.583
22 A 5 5 1. 10 0.5
23 A 8 7 1. 14 0.5
24 A 8 7 1. 14 0.5
25 A 12 8 1. 14 0.571
26 A 14 9 1. 14 0.643
27 A 3 2 1. 14 0.143
28 A 3 2 1. 14 0.143
29 A 3 2 1. 12 0.167
30 A 3 2 1. 10 0.2
31 A 3 2 1. 14 0.143
32 A 3 2 1. 14 0.143
33 A 3 2 1. 14 0.143
34 A 3 2 1. 14 0.143
35 A 5 4 1. 14 0.286
36 A 7 5 1. 14 0.357
37 A 3 3 1. 12 0.25
38 A 3 3 1. 10 0.3
39 A 6 6 1. 14 0.429
40 A 5 5 1. 14 0.357
41 A 6 6 1. 14 0.429
42 A 7 6 1. 14 0.429
43 A 8 6 1. 14 0.429
44 A 3 2 1. 14 0.143
45 A 3 2 1. 14 0.143
46 A 3 2 1. 12 0.167
47 A 3 2 1. 10 0.2
48 A 3 2 1. 14 0.143
49 A 3 2 1. 14 0.143
50 A 3 2 1. 14 0.143
51 A 3 2 1. 14 0.143
52 A 14 11 1. 14 0.786
53 A 10 9 1. 14 0.643
54 A 9 7 1. 12 0.583
55 A 5 5 1. 10 0.5
56 A 8 7 1. 14 0.5
57 A 8 7 1. 14 0.5
58 A 12 8 1. 14 0.571
59 A 14 9 1. 14 0.643
60 A 19 9 1. 14 0.643
61 A 15 12 1. 16 0.75
62 A 14 11 1. 14 0.786
63 A 13 10 1. 12 0.833
64 A 17 14 1. 16 0.875
65 A 6 6 1. 16 0.375
66 A 7 7 1. 16 0.438
67 A 9 8 1. 16 0.5
68 A 10 8 1. 16 0.5
69 A 11 8 1. 16 0.5
70 A 15 12 1. 16 0.75
71 A 15 12 1. 16 0.75
72 A 14 11 1. 14 0.786
73 A 13 10 1. 12 0.833
74 A 17 14 1. 16 0.875
75 A 6 6 1. 16 0.375
76 A 7 7 1. 16 0.438
77 A 9 8 1. 16 0.5
78 A 10 8 1. 16 0.5
79 A 16 13 1. 16 0.812
80 A 16 12 1. 16 0.75
81 A 15 11 1. 14 0.786
82 A 14 11 1. 12 0.917
83 A 19 16 1. 16 1.
84 A 7 6 1. 16 0.375
85 A 8 7 1. 16 0.438
86 A 10 9 1. 16 0.562
87 A 11 9 1. 16 0.562
88 A 15 12 1. 16 0.75
89 A 15 12 1. 16 0.75
90 A 14 11 1. 14 0.786
91 A 13 10 1. 12 0.833
92 A 17 14 1. 16 0.875
93 A 6 6 1. 16 0.375
94 A 7 7 1. 16 0.438
95 A 9 8 1. 16 0.5
96 A 10 8 1. 16 0.5
97 A 15 12 1. 16 0.75
98 A 15 12 1. 16 0.75
99 A 14 11 1. 14 0.786
100 A 13 10 1. 12 0.833
101 A 17 14 1. 16 0.875
102 A 6 6 1. 16 0.375
103 A 7 7 1. 16 0.438
104 A 9 8 1. 16 0.5
105 A 10 8 1. 16 0.5
106 A 16 13 1. 16 0.812
107 A 16 12 1. 16 0.75
108 A 15 11 1. 14 0.786
109 A 14 11 1. 12 0.917
110 A 19 16 1. 16 1.
111 A 7 6 1. 16 0.375
112 A 8 7 1. 16 0.438
113 A 10 9 1. 16 0.562
114 A 11 9 1. 16 0.562
115 A 16 12 1. 14 0.857
116 A 15 11 1. 12 0.917
117 A 14 10 1. 10 1.
118 A 25 13 1. 14 0.929
119 A 13 9 1. 14 0.643
120 A 14 10 1. 14 0.714
121 A 16 11 1. 14 0.786
122 A 5 5 1. 14 0.357
123 A 4 4 1. 12 0.333
124 A 3 3 1. 10 0.3
125 A 4 4 1. 14 0.286
126 A 3 3 1. 14 0.214
127 A 4 4 1. 14 0.286
128 A 27 13 1. 16 0.812
129 A 26 12 1. 14 0.857
130 A 25 11 1. 12 0.917
131 A 39 20 1. 16 1.25
132 A 16 13 1. 16 0.812
133 A 17 14 1. 16 0.875
134 A 4 4 1. 14 0.286
135 A 4 4 1. 14 0.286
136 A 3 3 1. 14 0.214
137 A 3 3 1. 14 0.214
138 A 4 4 1. 14 0.286
139 A 4 4 1. 14 0.286
140 A 9 5 1. 14 0.357
141 A 4 3 1. 14 0.214
142 A 4 3 1. 14 0.214
143 A 9 5 1. 14 0.357
144 A 2 2 1. 16 0.125
145 A 2 2 1. 16 0.125
146 A 2 2 1. 16 0.125
147 A 2 2 1. 16 0.125
148 A 2 2 1. 16 0.125
149 A 2 2 1. 16 0.125
150 A 2 2 1. 12 0.167
151 A 2 2 1. 12 0.167
152 A 2 2 1. 16 0.125
153 A 2 2 1. 15 0.133
154 A 4 4 1. 15 0.267
155 A 4 4 1. 15 0.267
156 A 3 3 1. 13 0.231
157 A 2 2 1. 11 0.182
158 A 4 4 1. 15 0.267
159 A 2 2 1. 15 0.133
160 A 3 3 1. 15 0.2
161 A 5 5 1. 15 0.333
162 A 8 8 1. 16 0.5
163 A 7 7 1. 16 0.438
164 A 7 7 1. 16 0.438
165 A 6 6 1. 14 0.429
166 A 5 5 1. 12 0.417
167 A 7 7 1. 16 0.438
168 A 4 4 1. 16 0.25
169 A 5 5 1. 16 0.312
170 A 7 6 1. 16 0.375
171 A 3 2 1. 16 0.125
172 A 3 2 1. 16 0.125
173 A 3 2 1. 16 0.125
174 A 3 2 1. 14 0.143
175 A 3 2 1. 12 0.167
176 A 3 2 1. 16 0.125
177 A 3 2 1. 16 0.125
178 A 3 2 1. 16 0.125
179 A 3 2 1. 16 0.125
180 A 9 8 1. 16 0.5
181 A 8 8 1. 16 0.5
182 A 8 7 1. 16 0.438
183 A 7 6 1. 14 0.429
184 A 6 6 1. 12 0.5
185 A 8 8 1. 16 0.5
186 A 5 4 1. 16 0.25
187 A 6 5 1. 16 0.312
188 A 8 7 1. 16 0.438
189 A 8 8 1. 16 0.5
190 A 7 7 1. 16 0.438
191 A 7 7 1. 16 0.438
192 A 6 6 1. 14 0.429
193 A 5 5 1. 12 0.417
194 A 7 7 1. 16 0.438
195 A 4 4 1. 16 0.25
196 A 5 5 1. 16 0.312
197 A 7 6 1. 16 0.375
198 A 3 2 1. 16 0.125
199 A 3 2 1. 16 0.125
200 A 3 2 1. 16 0.125
201 A 3 2 1. 14 0.143
202 A 3 2 1. 12 0.167
203 A 3 2 1. 16 0.125
204 A 3 2 1. 16 0.125
205 A 3 2 1. 16 0.125
206 A 3 2 1. 16 0.125
207 A 9 8 1. 16 0.5
208 A 8 8 1. 16 0.5
209 A 8 7 1. 16 0.438
210 A 7 6 1. 14 0.429
211 A 6 6 1. 12 0.5
212 A 8 8 1. 16 0.5
213 A 5 4 1. 16 0.25
214 A 6 5 1. 16 0.312
215 A 8 7 1. 16 0.438
216 A 15 12 1. 18 0.667
217 A 14 11 1. 16 0.688
218 A 13 10 1. 14 0.714
219 A 15 12 1. 18 0.667
220 A 6 6 1. 18 0.333
221 A 15 12 1. 18 0.667
222 A 14 11 1. 16 0.688
223 A 13 10 1. 14 0.714
224 A 17 14 1. 18 0.778
225 A 6 6 1. 18 0.333
226 A 15 12 1. 18 0.667
227 A 14 11 1. 16 0.688
228 A 13 10 1. 14 0.714
229 A 14 11 1. 18 0.611
230 A 5 5 1. 18 0.278
231 A 15 12 1. 18 0.667
232 A 14 11 1. 16 0.688
233 A 13 10 1. 14 0.714
234 A 17 14 1. 18 0.778
235 A 6 6 1. 18 0.333
236 A 4 3 1. 14 0.214
237 A 4 4 1. 14 0.286
238 A 4 4 1. 14 0.286
239 A 3 3 1. 12 0.25
240 A 2 2 1. 10 0.2
241 A 4 4 1. 14 0.286
242 A 2 2 1. 14 0.143
243 A 3 3 1. 14 0.214
244 A 3 3 1. 19 0.158
245 A 2 2 1. 19 0.105
246 A 2 2 1. 17 0.118
247 A 2 2 1. 6 0.333
248 A 1 1 1. 19 0.053
249 A 2 2 1. 19 0.105
250 A 3 2 1. 19 0.105
251 A 4 2 1. 19 0.105
252 A 5 2 1. 19 0.105
253 A 3 3 1. 21 0.143
254 A 3 3 1. 21 0.143
255 A 3 3 1. 21 0.143
256 A 1 1 1. 21 0.048
257 A 2 2 1. 21 0.095
258 A 3 2 1. 21 0.095
259 A 3 3 1. 21 0.143
260 A 2 2 1. 21 0.095
261 A 2 2 1. 19 0.105
262 A 2 2 1. 8 0.25
263 A 1 1 1. 21 0.048
264 A 2 2 1. 21 0.095
265 A 3 2 1. 21 0.095
266 A 4 2 1. 21 0.095
267 A 3 3 1. 23 0.13
268 A 3 3 1. 23 0.13
269 A 3 3 1. 23 0.13
270 A 1 1 1. 23 0.043
271 A 2 2 1. 23 0.087
272 A 3 2 1. 23 0.087
273 A 3 3 1. 21 0.143
274 A 2 2 1. 21 0.095
275 A 2 2 1. 19 0.105
276 A 2 2 1. 8 0.25
277 A 1 1 1. 21 0.048
278 A 2 2 1. 21 0.095
279 A 3 2 1. 21 0.095
280 A 4 2 1. 21 0.095
281 A 3 3 1. 23 0.13
282 A 3 3 1. 23 0.13
283 A 3 3 1. 23 0.13
284 A 1 1 1. 23 0.043
285 A 2 2 1. 23 0.087
286 A 3 2 1. 23 0.087
287 A 3 3 1. 21 0.143
288 A 2 2 1. 21 0.095
289 A 2 2 1. 19 0.105
290 A 2 2 1. 8 0.25
291 A 1 1 1. 21 0.048
292 A 2 2 1. 21 0.095
293 A 3 2 1. 21 0.095
294 A 4 2 1. 21 0.095
295 A 3 3 1. 23 0.13
296 A 3 3 1. 23 0.13
297 A 3 3 1. 23 0.13
298 A 1 1 1. 23 0.043
299 A 2 2 1. 23 0.087
300 A 3 2 1. 23 0.087
301 A 3 2 1. 24 0.083
302 A 5 4 1. 24 0.167
303 A 3 2 1. 24 0.083
304 A 4 4 1. 24 0.167
305 A 2 2 1. 24 0.083
306 A 2 2 1. 24 0.083
307 A 4 4 1. 24 0.167
308 A 3 2 1. 24 0.083
309 A 5 4 1. 24 0.167
310 A 4 3 1. 25 0.12
311 A 5 5 1. 25 0.2
312 A 4 3 1. 25 0.12
313 A 4 4 1. 25 0.16
314 A 3 3 1. 25 0.12
315 A 3 3 1. 25 0.12
316 A 4 4 1. 25 0.16
317 A 4 3 1. 25 0.12
318 A 5 5 1. 25 0.2
319 A 3 2 1. 24 0.083
320 A 3 3 1. 24 0.125
321 A 2 2 1. 24 0.083
322 A 3 3 1. 24 0.125
323 A 4 3 1. 24 0.125
324 A 4 3 1. 24 0.125
325 A 3 3 1. 24 0.125
326 A 2 2 1. 24 0.083
327 A 3 3 1. 24 0.125
328 A 4 3 1. 25 0.12
329 A 3 3 1. 25 0.12
330 A 3 3 1. 25 0.12
331 A 3 3 1. 25 0.12
332 A 5 4 1. 25 0.16
333 A 5 4 1. 25 0.16
334 A 3 3 1. 25 0.12
335 A 3 3 1. 25 0.12
336 A 3 3 1. 25 0.12
337 A 2 2 1. 21 0.095
338 A 2 2 1. 19 0.105
339 A 2 2 1. 8 0.25
340 A 4 4 1.57 24 0.167
341 A 4 4 1. 24 0.167
342 A 3 3 1. 22 0.136
343 A 1 1 1. 21 0.048
344 B 3 3 2.03 24 0.125
345 A 5 5 2. 24 0.208
346 A 6 6 1.92 24 0.25
347 A 4 2 1. 21 0.095
348 A 3 3 1. 23 0.13
349 A 3 3 1. 23 0.13
350 A 3 3 1. 23 0.13
351 A 5 5 1. 26 0.192
352 A 5 5 1. 26 0.192
353 A 5 5 1. 26 0.192
354 A 5 5 1. 26 0.192
355 A 4 4 1. 24 0.167
356 A 3 3 1. 23 0.13
357 A 3 3 1. 26 0.115
358 A 4 4 1. 26 0.154
359 A 6 6 1. 26 0.231
360 A 3 3 1. 23 0.13
361 A 3 3 1. 23 0.13
362 A 3 3 1. 23 0.13
363 A 3 3 1. 23 0.13
364 A 2 2 1. 22 0.091
365 A 2 2 1. 24 0.083
366 A 2 2 1. 24 0.083
367 A 2 2 1. 24 0.083
368 A 3 3 1. 26 0.115
369 A 3 3 1. 26 0.115
370 A 3 3 1. 26 0.115
371 A 3 3 1. 21 0.143
372 A 3 3 1. 24 0.125
373 A 3 3 1. 24 0.125
374 A 1 1 1. 35 0.029
375 A 2 2 1. 26 0.077
376 A 2 2 1. 26 0.077
377 A 2 2 1. 26 0.077
378 A 2 2 1. 26 0.077
379 A 2 2 1. 26 0.077
380 A 3 3 1. 28 0.107
381 A 3 3 1. 28 0.107
382 A 4 3 1. 28 0.107
383 A 4 3 1. 28 0.107
384 A 3 3 1. 28 0.107
385 A 3 3 1. 28 0.107

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