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
  2.1.8 Mupad
 2.2 Detailed conclusion table per each integral for all CAS systems
 2.3 Detailed conclusion table specific for Rubi results

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397 }

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 36, 37, 38, 39, 43, 44, 45, 49, 50, 51, 52, 53, 54, 55, 56, 57, 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, 99, 100, 101, 102, 103, 104, 109, 110, 111, 113, 116, 117, 124, 125, 126, 127, 128, 129, 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, 167, 168, 169, 170, 174, 175, 176, 177, 182, 183, 184, 185, 186, 187, 188, 189, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 217, 219, 220, 221, 224, 225, 226, 227, 229, 230, 231, 232, 233, 234, 238, 239, 240, 243, 244, 245, 246, 247, 248, 249, 251, 252, 253, 256, 257, 258, 259, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 275, 276, 277, 278, 279, 282, 283, 284, 285, 288, 289, 290, 293, 294, 295, 296, 298, 301, 302, 303, 307, 308, 309, 313, 314, 315, 316, 317, 320, 321, 322, 323, 326, 327, 328, 329, 330, 332, 333, 334, 335, 336, 337, 338, 339, 341, 343, 344, 346, 348, 349, 350, 351, 352, 353, 354, 355, 357, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 386, 387, 388, 391, 392, 393, 394, 395, 396 }

B grade: { 32, 33, 34, 35, 40, 41, 42, 46, 47, 98, 105, 106, 107, 112, 114, 115, 164, 165, 166, 171, 172, 173, 178, 179, 180, 181, 216, 218, 222, 223, 228, 235, 236, 241, 242, 250, 254, 255, 260, 261, 273, 274, 280, 281, 286, 287, 291, 292, 299, 300, 304, 305, 306, 310, 311, 312, 318, 324, 325, 331, 340, 342, 382, 383, 384, 385, 389, 390, 397 }

C grade: { 48, 58, 59, 60, 61, 62, 63, 108, 118, 119, 120, 121, 122, 123, 130, 131, 132, 133, 134, 135, 190, 191, 192, 193, 194, 195, 237, 319, 345, 347, 356, 358 }

F grade: { 297 }

2.1.3 Maple

A grade: { 5, 6, 7, 8, 9, 10, 11, 12, 17, 18, 19, 20, 21, 26, 27, 28, 29, 30, 31, 36, 37, 38, 42, 43, 44, 45, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 74, 75, 76, 77, 78, 84, 85, 86, 87, 92, 93, 94, 95, 96, 97, 102, 103, 104, 108, 109, 110, 111, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 140, 141, 142, 143, 144, 149, 150, 151, 152, 153, 159, 160, 161, 162, 163, 168, 169, 170, 175, 176, 177, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 205, 206, 207, 208, 213, 214, 215, 219, 220, 221, 224, 225, 226, 227, 232, 233, 234, 237, 238, 239, 240, 244, 245, 246, 250, 251, 252, 253, 256, 257, 258, 259, 263, 264, 265, 269, 270, 271, 272, 276, 277, 278, 281, 282, 283, 284, 287, 288, 289, 290, 293, 294, 295, 296, 297, 301, 302, 303, 306, 307, 308, 309, 314, 315, 316, 320, 321, 322, 326, 327, 360, 362, 363, 364, 365, 366, 367, 371, 372, 373, 374, 375, 379, 380, 381, 385, 386, 387, 388, 391, 392, 393, 394, 395, 396 }

B grade: { 2, 3, 4, 14, 15, 16, 23, 24, 25, 32, 33, 34, 35, 39, 40, 41, 46, 47, 71, 72, 73, 80, 81, 82, 83, 89, 90, 91, 98, 99, 100, 101, 105, 106, 107, 112, 113, 114, 115, 137, 138, 139, 146, 147, 148, 155, 156, 157, 158, 164, 165, 166, 167, 171, 172, 173, 178, 179, 180, 181, 204, 209, 210, 211, 212, 216, 217, 218, 222, 223, 228, 229, 230, 231, 235, 236, 241, 242, 243, 247, 248, 249, 254, 255, 260, 261, 266, 267, 268, 273, 274, 275, 279, 280, 286, 291, 292, 298, 299, 300, 304, 305, 310, 311, 312, 313, 317, 318, 319, 323, 324, 325, 361, 368, 369, 370, 376, 377, 378, 382, 383, 384, 389, 390, 397 }

C grade: { 174, 262, 331, 340, 347, 356 }

F grade: { 1, 13, 22, 70, 79, 88, 136, 145, 154, 285, 328, 329, 330, 332, 333, 334, 335, 336, 337, 338, 339, 341, 342, 343, 344, 345, 346, 348, 349, 350, 351, 352, 353, 354, 355, 357, 358, 359 }

2.1.4 Maxima

A grade: { 5, 17, 26, 31, 36, 37, 38, 43, 45, 74, 92, 97, 102, 103, 104, 109, 111, 116, 117, 140, 149, 158, 163, 168, 169, 170, 175, 177, 208, 213, 214, 215, 221, 224, 225, 226, 227, 232, 233, 234, 240, 246, 253, 257, 259, 265, 272, 278, 284, 290, 297, 303, 307, 308, 309, 314, 315, 316, 322, 360, 361, 362, 363, 364, 368, 369, 370, 371, 379, 380, 384, 386, 387, 388 }

B grade: { 2, 3, 4, 14, 15, 16, 23, 24, 25, 32, 33, 34, 35, 39, 40, 41, 42, 46, 47, 48, 49, 71, 72, 73, 80, 81, 82, 83, 89, 90, 91, 98, 99, 100, 101, 105, 106, 107, 108, 112, 113, 114, 115, 137, 138, 139, 146, 147, 148, 155, 156, 157, 164, 165, 166, 167, 172, 173, 174, 178, 179, 180, 181, 205, 206, 207, 209, 210, 211, 212, 216, 217, 222, 223, 228, 229, 230, 231, 235, 236, 241, 242, 243, 247, 248, 250, 254, 255, 256, 260, 262, 266, 267, 268, 269, 273, 274, 275, 279, 280, 281, 285, 286, 287, 291, 292, 293, 294, 298, 299, 304, 305, 306, 310, 311, 312, 313, 317, 318, 323, 324, 325, 376, 377, 382, 383, 391, 396 }

C grade: { 6, 7, 8, 9, 10, 11, 12, 18, 19, 20, 21, 27, 28, 29, 30, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 75, 76, 77, 78, 84, 85, 86, 87, 93, 94, 95, 96, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 141, 142, 143, 144, 150, 151, 152, 153, 159, 160, 161, 162, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 365, 366, 367, 372, 373, 374, 375 }

F grade: { 1, 13, 22, 44, 50, 51, 70, 79, 88, 110, 136, 145, 154, 171, 176, 182, 183, 202, 203, 204, 218, 219, 220, 237, 238, 239, 244, 245, 249, 251, 252, 258, 261, 263, 264, 270, 271, 276, 277, 282, 283, 288, 289, 295, 296, 300, 301, 302, 319, 320, 321, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 378, 381, 385, 389, 390, 392, 393, 394, 395, 397 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 31, 36, 37, 38, 43, 44, 45, 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, 79, 83, 84, 85, 88, 89, 90, 91, 92, 93, 94, 95, 97, 102, 103, 104, 109, 110, 111, 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, 145, 146, 147, 148, 149, 150, 151, 152, 154, 157, 158, 159, 160, 161, 163, 168, 169, 170, 174, 175, 176, 177, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 204, 208, 213, 214, 215, 219, 220, 221, 225, 226, 227, 232, 233, 234, 238, 239, 240, 244, 245, 246, 251, 252, 253, 256, 257, 258, 259, 262, 263, 264, 265, 270, 271, 272, 276, 277, 278, 282, 283, 284, 288, 289, 290, 293, 294, 295, 296, 297, 301, 302, 303, 306, 307, 308, 309, 314, 315, 316, 320, 321, 322, 326, 327, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 379, 380, 381, 386, 387, 388, 391, 392, 393, 394, 396 }

B grade: { 8, 9, 21, 30, 35, 41, 42, 47, 78, 80, 81, 82, 86, 87, 96, 101, 107, 108, 115, 144, 153, 155, 156, 162, 167, 173, 181, 203, 207, 212, 218, 224, 231, 237, 243, 249, 250, 255, 261, 269, 274, 275, 281, 287, 292, 300, 313, 319, 325, 378, 385, 390, 395, 397 }

C grade: { 32, 33, 34, 39, 40, 46, 98, 99, 100, 105, 106, 112, 113, 114, 164, 165, 166, 171, 172, 178, 179, 180, 202, 205, 206, 209, 210, 211, 216, 217, 222, 223, 228, 229, 230, 235, 236, 241, 242, 247, 248, 254, 260, 266, 267, 268, 273, 279, 280, 285, 286, 291, 298, 299, 304, 305, 310, 311, 312, 317, 318, 323, 324, 376, 377, 382, 383, 384, 389 }

F grade: { 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 }

2.1.6 Sympy

A grade: { 2, 3, 4, 5, 10, 11, 12, 14, 15, 16, 17, 23, 24, 25, 26, 31, 36, 37, 38, 43, 44, 50, 51, 71, 72, 73, 74, 80, 81, 82, 83, 89, 90, 91, 92, 97, 102, 103, 104, 108, 109, 110, 111, 116, 117, 137, 138, 139, 140, 146, 147, 148, 149, 155, 156, 157, 158, 163, 168, 169, 170, 175, 176, 177, 182, 183, 208, 213, 214, 219, 220, 227, 232, 233, 238, 239, 244, 245, 246, 251, 252, 253, 256, 257, 258, 259, 263, 264, 270, 271, 276, 277, 282, 283, 288, 289, 290, 295, 296, 297, 301, 302, 303, 307, 308, 314, 315, 320, 321, 326, 327, 360, 364 }

B grade: { 53, 54, 55, 56, 361, 362, 363, 396 }

C grade: { }

F grade: { 1, 6, 7, 8, 9, 13, 18, 19, 20, 21, 22, 27, 28, 29, 30, 32, 33, 34, 35, 39, 40, 41, 42, 45, 46, 47, 48, 49, 52, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 75, 76, 77, 78, 79, 84, 85, 86, 87, 88, 93, 94, 95, 96, 98, 99, 100, 101, 105, 106, 107, 112, 113, 114, 115, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 141, 142, 143, 144, 145, 150, 151, 152, 153, 154, 159, 160, 161, 162, 164, 165, 166, 167, 171, 172, 173, 174, 178, 179, 180, 181, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 209, 210, 211, 212, 215, 216, 217, 218, 221, 222, 223, 224, 225, 226, 228, 229, 230, 231, 234, 235, 236, 237, 240, 241, 242, 243, 247, 248, 249, 250, 254, 255, 260, 261, 262, 265, 266, 267, 268, 269, 272, 273, 274, 275, 278, 279, 280, 281, 284, 285, 286, 287, 291, 292, 293, 294, 298, 299, 300, 304, 305, 306, 309, 310, 311, 312, 313, 316, 317, 318, 319, 322, 323, 324, 325, 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, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 397 }

2.1.7 Giac

A grade: { 2, 3, 4, 5, 10, 11, 12, 14, 15, 16, 17, 23, 24, 25, 26, 31, 36, 37, 38, 43, 44, 45, 50, 71, 72, 73, 74, 80, 81, 82, 83, 89, 90, 91, 92, 97, 102, 103, 104, 109, 110, 111, 116, 117, 137, 138, 139, 140, 146, 147, 148, 149, 155, 156, 157, 158, 163, 168, 169, 170, 175, 176, 177, 182, 183, 208, 213, 214, 215, 219, 220, 221, 225, 226, 227, 232, 233, 234, 238, 239, 240, 244, 246, 251, 252, 253, 257, 258, 259, 263, 264, 265, 270, 271, 272, 276, 277, 278, 284, 288, 289, 290, 295, 296, 297, 301, 302, 303, 307, 308, 309, 314, 316, 322, 326, 360, 361, 362, 363, 364, 365, 366, 379, 380, 381, 386, 387, 388, 392, 393, 394 }

B grade: { 42, 48, 49, 108, 174, 204, 250, 256, 262, 293, 294, 367, 368, 369, 370, 371, 391, 396 }

C grade: { 6, 7, 8, 9, 18, 27, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 75, 84, 85, 86, 87, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 141, 159, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 372, 373, 374 }

F grade: { 1, 13, 19, 20, 21, 22, 28, 29, 30, 32, 33, 34, 35, 39, 40, 41, 46, 47, 51, 70, 76, 77, 78, 79, 88, 93, 94, 95, 96, 98, 99, 100, 101, 105, 106, 107, 112, 113, 114, 115, 136, 142, 143, 144, 145, 150, 151, 152, 153, 154, 160, 161, 162, 164, 165, 166, 167, 171, 172, 173, 178, 179, 180, 181, 202, 203, 205, 206, 207, 209, 210, 211, 212, 216, 217, 218, 222, 223, 224, 228, 229, 230, 231, 235, 236, 237, 241, 242, 243, 245, 247, 248, 249, 254, 255, 260, 261, 266, 267, 268, 269, 273, 274, 275, 279, 280, 281, 282, 283, 285, 286, 287, 291, 292, 298, 299, 300, 304, 305, 306, 310, 311, 312, 313, 315, 317, 318, 319, 320, 321, 323, 324, 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, 375, 376, 377, 378, 382, 383, 384, 385, 389, 390, 395, 397 }

2.1.8 Mupad

A grade: { 31, 36, 37, 38, 43, 44, 45, 50, 51, 97, 102, 103, 104, 109, 110, 111, 116, 117, 163, 168, 169, 170, 175, 176, 177, 182, 183, 208, 213, 214, 215, 219, 220, 221, 225, 226, 227, 232, 233, 234, 238, 239, 240, 244, 245, 246, 251, 252, 253, 257, 258, 259, 263, 264, 265, 270, 271, 272, 276, 277, 278, 282, 283, 284, 288, 289, 290, 295, 296, 297, 301, 302, 303, 307, 308, 309, 314, 315, 316, 320, 321, 322, 326, 327, 379, 380, 381, 386, 387, 388, 392, 393, 394 }

B grade: { 2, 3, 4, 5, 14, 15, 16, 17, 23, 24, 25, 26, 42, 48, 49, 71, 72, 73, 74, 80, 81, 82, 83, 89, 90, 91, 92, 108, 137, 138, 139, 140, 146, 147, 148, 149, 155, 156, 157, 158, 174, 204, 212, 250, 256, 262, 275, 293, 294, 360, 361, 362, 363, 364, 368, 369, 370, 371, 391, 395, 396, 397 }

C grade: { }

F grade: { 1, 6, 7, 8, 9, 10, 11, 12, 13, 18, 19, 20, 21, 22, 27, 28, 29, 30, 32, 33, 34, 35, 39, 40, 41, 46, 47, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 75, 76, 77, 78, 79, 84, 85, 86, 87, 88, 93, 94, 95, 96, 98, 99, 100, 101, 105, 106, 107, 112, 113, 114, 115, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 141, 142, 143, 144, 145, 150, 151, 152, 153, 154, 159, 160, 161, 162, 164, 165, 166, 167, 171, 172, 173, 178, 179, 180, 181, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 205, 206, 207, 209, 210, 211, 216, 217, 218, 222, 223, 224, 228, 229, 230, 231, 235, 236, 237, 241, 242, 243, 247, 248, 249, 254, 255, 260, 261, 266, 267, 268, 269, 273, 274, 279, 280, 281, 285, 286, 287, 291, 292, 298, 299, 300, 304, 305, 306, 310, 311, 312, 313, 317, 318, 319, 323, 324, 325, 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, 365, 366, 367, 372, 373, 374, 375, 376, 377, 378, 382, 383, 384, 385, 389, 390 }

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 Mupad










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 137 137 138 0 0 94 0 0 -1
normalized size 1 1.00 1.01 0.00 0.00 0.69 0.00 0.00 -0.01
time (sec) N/A 0.156 0.082 0.353 0.000 0.479 0.000 0.000 0.000




















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 156 156 86 853 586 255 502 181 245
normalized size 1 1.00 0.55 5.47 3.76 1.63 3.22 1.16 1.57
time (sec) N/A 0.107 0.479 0.056 0.385 0.656 4.252 0.196 0.491




















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 120 120 71 466 342 166 342 121 165
normalized size 1 1.00 0.59 3.88 2.85 1.38 2.85 1.01 1.38
time (sec) N/A 0.083 0.298 0.009 0.364 0.440 2.385 0.221 0.854




















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 89 89 50 215 171 92 175 73 100
normalized size 1 1.00 0.56 2.42 1.92 1.03 1.97 0.82 1.12
time (sec) N/A 0.054 0.229 0.007 0.363 0.495 1.050 0.205 0.159




















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 50 50 34 74 65 42 80 38 47
normalized size 1 1.00 0.68 1.48 1.30 0.84 1.60 0.76 0.94
time (sec) N/A 0.026 0.100 0.007 0.335 0.634 0.473 1.720 0.699




















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 60 84 141 80 0 569 -1
normalized size 1 1.00 0.92 1.29 2.17 1.23 0.00 8.75 -0.02
time (sec) N/A 0.139 0.126 0.017 0.408 0.611 0.000 0.847 0.000




















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 80 124 164 132 0 2870 -1
normalized size 1 1.00 0.94 1.46 1.93 1.55 0.00 33.76 -0.01
time (sec) N/A 0.149 0.308 0.010 0.436 0.714 0.000 0.564 0.000




















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C B F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 102 162 199 230 0 5398 -1
normalized size 1 1.00 0.89 1.42 1.75 2.02 0.00 47.35 -0.01
time (sec) N/A 0.175 1.084 0.012 0.506 0.805 0.000 0.534 0.000




















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C B F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 144 144 164 200 249 320 0 7592 -1
normalized size 1 1.00 1.14 1.39 1.73 2.22 0.00 52.72 -0.01
time (sec) N/A 0.198 0.667 0.010 0.636 0.609 0.000 0.612 0.000




















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 8 8 8 7 13 6 5 6 -1
normalized size 1 1.00 1.00 0.88 1.62 0.75 0.62 0.75 -0.12
time (sec) N/A 0.029 0.006 0.022 0.374 0.721 0.859 0.174 0.000




















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 16 16 16 15 15 24 22 19 -1
normalized size 1 1.00 1.00 0.94 0.94 1.50 1.38 1.19 -0.06
time (sec) N/A 0.046 0.006 0.018 0.385 0.763 1.572 0.145 0.000




















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A A A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 29 26 15 30 24 26 -1
normalized size 1 1.00 1.00 0.90 0.52 1.03 0.83 0.90 -0.03
time (sec) N/A 0.059 0.008 0.017 0.394 0.506 1.161 1.601 0.000




















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 237 0 0 186 0 0 -1
normalized size 1 1.00 0.86 0.00 0.00 0.68 0.00 0.00 -0.00
time (sec) N/A 0.330 0.692 0.348 0.000 0.615 0.000 0.000 0.000




















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 385 835 880 352 646 350 448
normalized size 1 1.00 1.88 4.07 4.29 1.72 3.15 1.71 2.19
time (sec) N/A 0.200 1.449 0.091 0.416 0.544 7.476 0.230 1.409




















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 121 447 499 227 391 231 289
normalized size 1 1.00 0.80 2.96 3.30 1.50 2.59 1.53 1.91
time (sec) N/A 0.135 0.941 0.011 0.371 0.494 4.010 0.224 1.149




















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 93 204 240 130 216 137 161
normalized size 1 1.00 0.90 1.98 2.33 1.26 2.10 1.33 1.56
time (sec) N/A 0.077 0.580 0.010 0.373 0.485 2.094 0.212 0.868




















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 44 71 85 59 85 69 59
normalized size 1 1.00 0.86 1.39 1.67 1.16 1.67 1.35 1.16
time (sec) N/A 0.033 0.169 0.009 0.340 0.801 0.872 0.188 0.152




















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 102 166 274 153 0 6059 -1
normalized size 1 1.00 0.84 1.37 2.26 1.26 0.00 50.07 -0.01
time (sec) N/A 0.270 0.316 0.012 0.447 0.493 0.000 0.540 0.000




















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 139 242 302 236 0 0 -1
normalized size 1 1.00 0.83 1.44 1.80 1.40 0.00 0.00 -0.01
time (sec) N/A 0.301 1.370 0.013 0.518 0.597 0.000 0.000 0.000




















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 221 221 183 311 337 399 0 0 -1
normalized size 1 1.00 0.83 1.41 1.52 1.81 0.00 0.00 -0.00
time (sec) N/A 0.358 2.156 0.015 0.676 0.546 0.000 0.000 0.000




















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 270 270 298 384 387 564 0 0 -1
normalized size 1 1.00 1.10 1.42 1.43 2.09 0.00 0.00 -0.00
time (sec) N/A 0.420 1.682 0.012 0.871 0.726 0.000 0.000 0.000




















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 271 271 246 0 0 184 0 0 -1
normalized size 1 1.00 0.91 0.00 0.00 0.68 0.00 0.00 -0.00
time (sec) N/A 0.331 0.290 0.241 0.000 0.495 0.000 0.000 0.000




















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 260 260 158 1143 967 434 935 361 576
normalized size 1 1.00 0.61 4.40 3.72 1.67 3.60 1.39 2.22
time (sec) N/A 0.241 1.699 0.120 0.421 0.594 13.311 2.893 1.944




















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 135 594 549 283 602 241 366
normalized size 1 1.00 0.69 3.03 2.80 1.44 3.07 1.23 1.87
time (sec) N/A 0.165 0.893 0.019 0.380 0.486 7.281 3.966 1.714




















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 91 260 263 159 320 145 202
normalized size 1 1.00 0.68 1.94 1.96 1.19 2.39 1.08 1.51
time (sec) N/A 0.092 0.491 0.019 0.362 0.455 3.625 0.199 1.249




















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 75 85 92 76 138 75 94
normalized size 1 1.00 1.04 1.18 1.28 1.06 1.92 1.04 1.31
time (sec) N/A 0.045 0.109 0.017 0.337 0.439 1.832 3.714 0.248




















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 110 178 274 156 0 6046 -1
normalized size 1 1.00 0.85 1.38 2.12 1.21 0.00 46.87 -0.01
time (sec) N/A 0.232 0.392 0.019 0.471 0.487 0.000 2.114 0.000




















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 151 256 301 245 0 0 -1
normalized size 1 1.00 0.84 1.43 1.68 1.37 0.00 0.00 -0.01
time (sec) N/A 0.280 1.229 0.023 0.527 0.513 0.000 0.000 0.000




















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 229 229 199 329 336 423 0 0 -1
normalized size 1 1.00 0.87 1.44 1.47 1.85 0.00 0.00 -0.00
time (sec) N/A 0.344 2.760 0.022 0.683 0.649 0.000 0.000 0.000




















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 287 287 316 404 386 588 0 0 -1
normalized size 1 1.00 1.10 1.41 1.34 2.05 0.00 0.00 -0.00
time (sec) N/A 0.389 2.248 0.023 0.933 0.695 0.000 0.000 0.000




















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.018 2.575 0.160 0.000 0.479 0.000 0.000 0.000




















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 151 151 799 1150 1262 1204 0 0 -1
normalized size 1 1.00 5.29 7.62 8.36 7.97 0.00 0.00 -0.01
time (sec) N/A 0.220 6.115 0.172 0.619 0.602 0.000 0.000 0.000




















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 127 127 560 783 747 814 0 0 -1
normalized size 1 1.00 4.41 6.17 5.88 6.41 0.00 0.00 -0.01
time (sec) N/A 0.192 2.667 0.095 0.516 0.580 0.000 0.000 0.000




















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 93 93 356 468 404 498 0 0 -1
normalized size 1 1.00 3.83 5.03 4.34 5.35 0.00 0.00 -0.01
time (sec) N/A 0.166 1.407 0.074 0.469 0.496 0.000 0.000 0.000




















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 65 65 188 215 189 250 0 0 -1
normalized size 1 1.00 2.89 3.31 2.91 3.85 0.00 0.00 -0.02
time (sec) N/A 0.096 5.112 0.073 0.459 0.505 0.000 0.000 0.000




















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.021 3.662 0.174 0.000 0.513 0.000 0.000 0.000




















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.021 6.983 0.200 0.000 0.441 0.000 0.000 0.000




















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.204 2.930 0.080 0.000 0.451 0.000 0.000 0.000




















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 208 208 308 716 2944 1021 0 0 -1
normalized size 1 1.00 1.48 3.44 14.15 4.91 0.00 0.00 -0.00
time (sec) N/A 0.172 1.358 0.125 0.839 0.553 0.000 0.000 0.000




















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 146 146 311 433 1770 669 0 0 -1
normalized size 1 1.00 2.13 2.97 12.12 4.58 0.00 0.00 -0.01
time (sec) N/A 0.116 1.168 0.089 0.561 0.547 0.000 0.000 0.000




















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 90 90 234 233 556 375 0 0 -1
normalized size 1 1.00 2.60 2.59 6.18 4.17 0.00 0.00 -0.01
time (sec) N/A 0.062 2.037 0.028 0.525 0.532 0.000 0.000 0.000




















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A B B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 30 30 131 52 259 62 0 801 88
normalized size 1 1.00 4.37 1.73 8.63 2.07 0.00 26.70 2.93
time (sec) N/A 0.020 0.055 0.021 0.378 0.473 0.000 0.752 2.281




















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.115 16.759 0.218 0.000 0.493 0.000 0.000 0.000




















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.152 20.304 0.379 0.000 0.535 0.000 0.000 0.000




















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.217 6.314 0.099 0.000 0.492 0.000 0.000 0.000




















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 137 137 504 716 4540 1071 0 0 -1
normalized size 1 1.00 3.68 5.23 33.14 7.82 0.00 0.00 -0.01
time (sec) N/A 0.256 6.608 0.133 0.893 0.699 0.000 0.000 0.000




















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 115 115 277 409 1044 587 0 0 -1
normalized size 1 1.00 2.41 3.56 9.08 5.10 0.00 0.00 -0.01
time (sec) N/A 0.174 6.414 0.105 0.697 0.746 0.000 0.000 0.000




















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A B A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 54 54 94 95 1130 102 0 3482 147
normalized size 1 1.00 1.74 1.76 20.93 1.89 0.00 64.48 2.72
time (sec) N/A 0.065 0.892 0.033 0.356 0.717 0.000 2.881 2.559




















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 48 61 287 44 0 526 53
normalized size 1 1.00 1.37 1.74 8.20 1.26 0.00 15.03 1.51
time (sec) N/A 0.031 0.073 0.029 0.393 0.584 0.000 0.358 1.716




















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.137 11.329 0.366 0.000 1.245 0.000 0.000 0.000




















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.166 10.641 0.539 0.000 0.879 0.000 0.000 0.000




















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 179 234 275 222 0 1198 -1
normalized size 1 1.00 0.91 1.19 1.40 1.13 0.00 6.11 -0.01
time (sec) N/A 0.448 2.239 0.028 0.548 0.805 0.000 3.063 0.000




















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A B C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 157 187 256 167 665 743 -1
normalized size 1 1.00 0.93 1.11 1.52 0.99 3.96 4.42 -0.01
time (sec) N/A 0.295 0.842 0.025 0.556 0.803 41.479 0.509 0.000




















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A B C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 134 142 209 125 389 402 -1
normalized size 1 1.00 0.94 1.00 1.47 0.88 2.74 2.83 -0.01
time (sec) N/A 0.231 0.258 0.023 0.452 0.749 6.139 0.560 0.000




















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A B C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 142 142 134 142 209 125 389 402 -1
normalized size 1 1.00 0.94 1.00 1.47 0.88 2.74 2.83 -0.01
time (sec) N/A 0.221 0.024 0.000 0.601 0.469 6.213 0.403 0.000




















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A B C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 157 187 256 167 665 743 -1
normalized size 1 1.00 0.93 1.11 1.52 0.99 3.96 4.42 -0.01
time (sec) N/A 0.275 0.040 0.000 0.547 0.501 42.222 1.025 0.000




















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 179 234 275 222 0 1198 -1
normalized size 1 1.00 0.91 1.19 1.40 1.13 0.00 6.11 -0.01
time (sec) N/A 0.334 1.056 0.000 0.470 0.677 0.000 0.678 0.000




















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F(-1) C F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 406 406 1171 474 543 370 0 2453 -1
normalized size 1 1.00 2.88 1.17 1.34 0.91 0.00 6.04 -0.00
time (sec) N/A 1.137 15.071 0.049 0.596 0.591 0.000 3.345 0.000




















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 353 353 677 386 495 298 0 1529 -1
normalized size 1 1.00 1.92 1.09 1.40 0.84 0.00 4.33 -0.00
time (sec) N/A 0.684 9.140 0.042 0.592 0.632 0.000 2.766 0.000




















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 304 304 264 294 422 245 0 838 -1
normalized size 1 1.00 0.87 0.97 1.39 0.81 0.00 2.76 -0.00
time (sec) N/A 0.470 5.364 0.042 0.569 0.561 0.000 2.852 0.000




















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 304 304 264 294 422 245 0 838 -1
normalized size 1 1.00 0.87 0.97 1.39 0.81 0.00 2.76 -0.00
time (sec) N/A 0.468 3.049 0.000 0.579 0.629 0.000 3.872 0.000




















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 353 353 677 386 495 298 0 1529 -1
normalized size 1 1.00 1.92 1.09 1.40 0.84 0.00 4.33 -0.00
time (sec) N/A 0.571 8.949 0.000 0.607 0.824 0.000 6.939 0.000




















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F(-1) C F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 406 406 1171 474 543 370 0 2453 -1
normalized size 1 1.00 2.88 1.17 1.34 0.91 0.00 6.04 -0.00
time (sec) N/A 0.668 13.628 0.000 0.603 0.692 0.000 2.458 0.000




















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 407 407 550 470 547 406 0 2418 -1
normalized size 1 1.00 1.35 1.15 1.34 1.00 0.00 5.94 -0.00
time (sec) N/A 1.051 14.246 0.039 0.539 0.880 0.000 3.276 0.000




















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 351 351 393 376 503 316 0 1503 -1
normalized size 1 1.00 1.12 1.07 1.43 0.90 0.00 4.28 -0.00
time (sec) N/A 0.674 3.076 0.037 0.514 0.583 0.000 4.752 0.000




















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 264 286 425 244 0 818 -1
normalized size 1 1.00 0.88 0.96 1.42 0.82 0.00 2.74 -0.00
time (sec) N/A 0.499 0.811 0.033 0.492 0.807 0.000 2.828 0.000




















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 264 286 425 244 0 818 -1
normalized size 1 1.00 0.88 0.96 1.42 0.82 0.00 2.74 -0.00
time (sec) N/A 0.460 0.287 0.000 0.484 0.847 0.000 1.073 0.000




















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 351 351 393 376 503 316 0 1503 -1
normalized size 1 1.00 1.12 1.07 1.43 0.90 0.00 4.28 -0.00
time (sec) N/A 0.566 2.367 0.000 0.497 0.679 0.000 6.767 0.000




















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 407 407 550 470 547 406 0 2418 -1
normalized size 1 1.00 1.35 1.15 1.34 1.00 0.00 5.94 -0.00
time (sec) N/A 0.697 9.966 0.000 0.634 0.911 0.000 4.041 0.000




















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 267 267 250 0 0 184 0 0 -1
normalized size 1 1.00 0.94 0.00 0.00 0.69 0.00 0.00 -0.00
time (sec) N/A 0.283 0.455 0.184 0.000 0.683 0.000 0.000 0.000




















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 150 835 889 294 646 350 448
normalized size 1 1.00 0.73 4.07 4.34 1.43 3.15 1.71 2.19
time (sec) N/A 0.203 1.550 0.057 0.471 0.487 7.187 0.247 1.898




















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 151 151 127 447 505 183 391 231 290
normalized size 1 1.00 0.84 2.96 3.34 1.21 2.59 1.53 1.92
time (sec) N/A 0.133 0.890 0.010 0.370 0.702 3.951 1.910 1.338




















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 86 204 243 100 216 137 145
normalized size 1 1.00 0.83 1.98 2.36 0.97 2.10 1.33 1.41
time (sec) N/A 0.079 0.490 0.010 0.374 0.719 2.034 4.947 1.131




















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 51 51 71 71 86 46 85 69 58
normalized size 1 1.00 1.39 1.39 1.69 0.90 1.67 1.35 1.14
time (sec) N/A 0.034 0.145 0.010 0.386 0.681 0.867 0.171 0.949




















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 121 121 100 167 273 152 0 6279 -1
normalized size 1 1.00 0.83 1.38 2.26 1.26 0.00 51.89 -0.01
time (sec) N/A 0.224 0.296 0.010 0.432 0.617 0.000 3.832 0.000




















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 168 168 139 240 300 233 0 0 -1
normalized size 1 1.00 0.83 1.43 1.79 1.39 0.00 0.00 -0.01
time (sec) N/A 0.266 1.087 0.012 0.523 0.827 0.000 0.000 0.000




















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 221 221 181 313 335 393 0 0 -1
normalized size 1 1.00 0.82 1.42 1.52 1.78 0.00 0.00 -0.00
time (sec) N/A 0.324 2.558 0.013 0.650 0.526 0.000 0.000 0.000




















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 270 270 300 381 385 558 0 0 -1
normalized size 1 1.00 1.11 1.41 1.43 2.07 0.00 0.00 -0.00
time (sec) N/A 0.377 1.823 0.013 0.877 0.666 0.000 0.000 0.000




















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 162 162 213 0 0 134 0 0 -1
normalized size 1 1.00 1.31 0.00 0.00 0.83 0.00 0.00 -0.01
time (sec) N/A 0.205 1.038 0.151 0.000 0.591 0.000 0.000 0.000




















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 132 1915 735 466 1231 224 349
normalized size 1 1.00 1.01 14.62 5.61 3.56 9.40 1.71 2.66
time (sec) N/A 0.164 1.270 0.092 0.373 0.618 13.619 1.113 1.684




















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 105 105 106 1074 442 308 835 153 329
normalized size 1 1.00 1.01 10.23 4.21 2.93 7.95 1.46 3.13
time (sec) N/A 0.130 0.655 0.025 0.364 0.500 7.943 0.227 1.691




















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 79 79 77 519 232 180 493 94 179
normalized size 1 1.00 0.97 6.57 2.94 2.28 6.24 1.19 2.27
time (sec) N/A 0.123 0.425 0.021 0.341 0.436 3.978 0.203 1.306




















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 54 194 96 85 238 48 57
normalized size 1 1.00 1.02 3.66 1.81 1.60 4.49 0.91 1.08
time (sec) N/A 0.054 0.286 0.023 0.326 0.594 1.998 1.363 1.040




















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 65 105 160 88 0 669 -1
normalized size 1 1.00 0.83 1.35 2.05 1.13 0.00 8.58 -0.01
time (sec) N/A 0.140 0.160 0.026 0.410 0.494 0.000 0.223 0.000




















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 104 104 81 156 171 138 0 3218 -1
normalized size 1 1.00 0.78 1.50 1.64 1.33 0.00 30.94 -0.01
time (sec) N/A 0.169 0.432 0.026 0.444 0.548 0.000 0.975 0.000




















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C B F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 105 193 206 255 0 5600 -1
normalized size 1 1.00 0.83 1.52 1.62 2.01 0.00 44.09 -0.01
time (sec) N/A 0.198 0.846 0.026 0.491 0.471 0.000 0.548 0.000




















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C B F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 123 230 256 406 0 8508 -1
normalized size 1 1.00 0.78 1.46 1.62 2.57 0.00 53.85 -0.01
time (sec) N/A 0.228 1.651 0.027 0.610 0.543 0.000 0.640 0.000




















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 407 407 376 0 0 276 0 0 -1
normalized size 1 1.00 0.92 0.00 0.00 0.68 0.00 0.00 -0.00
time (sec) N/A 0.403 0.628 0.211 0.000 0.721 0.000 0.000 0.000




















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 330 330 238 1812 1339 471 1098 531 816
normalized size 1 1.00 0.72 5.49 4.06 1.43 3.33 1.61 2.47
time (sec) N/A 0.391 3.172 0.115 0.420 0.811 20.156 0.871 4.606




















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 259 259 369 992 766 296 690 351 516
normalized size 1 1.00 1.42 3.83 2.96 1.14 2.66 1.36 1.99
time (sec) N/A 0.279 1.453 0.023 0.379 0.533 11.140 0.280 2.573




















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 184 127 466 375 166 382 209 249
normalized size 1 1.00 0.69 2.53 2.04 0.90 2.08 1.14 1.35
time (sec) N/A 0.197 0.879 0.023 0.348 0.471 5.959 0.251 0.809




















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 94 163 139 76 163 106 99
normalized size 1 1.00 0.86 1.50 1.28 0.70 1.50 0.97 0.91
time (sec) N/A 0.097 0.289 0.023 0.337 0.931 3.051 1.171 1.240




















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 185 154 253 407 228 0 0 -1
normalized size 1 1.00 0.83 1.37 2.20 1.23 0.00 0.00 -0.01
time (sec) N/A 0.339 0.490 0.024 0.471 0.647 0.000 0.000 0.000




















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 257 257 213 365 438 347 0 0 -1
normalized size 1 1.00 0.83 1.42 1.70 1.35 0.00 0.00 -0.00
time (sec) N/A 0.416 1.468 0.027 0.584 0.910 0.000 0.000 0.000




















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 338 338 279 475 473 585 0 0 -1
normalized size 1 1.00 0.83 1.41 1.40 1.73 0.00 0.00 -0.00
time (sec) N/A 0.505 3.905 0.027 0.779 0.826 0.000 0.000 0.000




















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 413 413 457 580 523 824 0 0 -1
normalized size 1 1.00 1.11 1.40 1.27 2.00 0.00 0.00 -0.00
time (sec) N/A 0.590 2.896 0.027 1.104 0.618 0.000 0.000 0.000




















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 144 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.127 6.383 0.241 0.000 0.532 0.000 0.000 0.000




















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 333 333 837 1295 1538 1367 0 0 -1
normalized size 1 1.00 2.51 3.89 4.62 4.11 0.00 0.00 -0.00
time (sec) N/A 0.284 1.325 0.227 0.638 0.750 0.000 0.000 0.000




















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 254 254 330 847 919 921 0 0 -1
normalized size 1 1.00 1.30 3.33 3.62 3.63 0.00 0.00 -0.00
time (sec) N/A 0.198 0.938 0.151 0.517 0.785 0.000 0.000 0.000




















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 221 479 507 558 0 0 -1
normalized size 1 1.00 1.29 2.80 2.96 3.26 0.00 0.00 -0.01
time (sec) N/A 0.138 0.847 0.128 0.470 1.544 0.000 0.000 0.000




















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 94 94 176 199 199 277 0 0 -1
normalized size 1 1.00 1.87 2.12 2.12 2.95 0.00 0.00 -0.01
time (sec) N/A 0.062 0.171 0.076 0.454 0.648 0.000 0.000 0.000




















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 70 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.107 8.354 0.237 0.000 0.539 0.000 0.000 0.000




















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 88 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.131 4.020 0.471 0.000 0.691 0.000 0.000 0.000




















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.035 1.198 0.089 0.000 0.713 0.000 0.000 0.000




















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 155 155 795 913 3229 856 0 0 -1
normalized size 1 1.00 5.13 5.89 20.83 5.52 0.00 0.00 -0.01
time (sec) N/A 0.229 6.720 0.130 1.205 0.948 0.000 0.000 0.000




















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 127 127 374 573 1945 599 0 0 -1
normalized size 1 1.00 2.94 4.51 15.31 4.72 0.00 0.00 -0.01
time (sec) N/A 0.197 6.154 0.108 0.742 0.782 0.000 0.000 0.000




















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 97 97 198 297 646 384 0 0 -1
normalized size 1 1.00 2.04 3.06 6.66 3.96 0.00 0.00 -0.01
time (sec) N/A 0.130 6.026 0.093 0.742 0.724 0.000 0.000 0.000




















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A B B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 82 49 292 97 104 1375 67
normalized size 1 1.00 2.00 1.20 7.12 2.37 2.54 33.54 1.63
time (sec) N/A 0.026 0.479 0.053 0.584 0.587 0.480 2.528 1.573




















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.036 4.521 0.223 0.000 0.797 0.000 0.000 0.000




















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.034 2.349 0.372 0.000 0.561 0.000 0.000 0.000




















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 39 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.075 38.567 0.104 0.000 0.636 0.000 0.000 0.000




















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 416 416 966 1673 6952 2762 0 0 -1
normalized size 1 1.00 2.32 4.02 16.71 6.64 0.00 0.00 -0.00
time (sec) N/A 0.502 8.295 0.187 5.492 2.058 0.000 0.000 0.000




















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 308 308 528 1056 3872 1734 0 0 -1
normalized size 1 1.00 1.71 3.43 12.57 5.63 0.00 0.00 -0.00
time (sec) N/A 0.344 4.744 0.144 1.920 1.190 0.000 0.000 0.000




















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 471 546 1932 966 0 0 -1
normalized size 1 1.00 2.63 3.05 10.79 5.40 0.00 0.00 -0.01
time (sec) N/A 0.223 7.578 0.120 0.809 0.706 0.000 0.000 0.000




















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 260 246 770 454 0 0 -1
normalized size 1 1.00 2.41 2.28 7.13 4.20 0.00 0.00 -0.01
time (sec) N/A 0.107 1.593 0.099 0.536 0.573 0.000 0.000 0.000




















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 39 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.081 35.887 2.760 0.000 0.733 0.000 0.000 0.000




















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 39 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.080 41.721 4.191 0.000 0.557 0.000 0.000 0.000




















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 406 406 1168 476 543 341 0 2465 -1
normalized size 1 1.00 2.88 1.17 1.34 0.84 0.00 6.07 -0.00
time (sec) N/A 0.667 15.946 0.043 0.533 0.544 0.000 3.084 0.000




















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 353 353 676 384 499 280 0 1538 -1
normalized size 1 1.00 1.92 1.09 1.41 0.79 0.00 4.36 -0.00
time (sec) N/A 0.526 9.036 0.038 0.510 0.695 0.000 4.780 0.000




















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 304 304 278 296 422 235 0 842 -1
normalized size 1 1.00 0.91 0.97 1.39 0.77 0.00 2.77 -0.00
time (sec) N/A 0.416 6.616 0.034 0.499 0.727 0.000 2.783 0.000




















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 304 304 264 296 422 235 0 842 -1
normalized size 1 1.00 0.87 0.97 1.39 0.77 0.00 2.77 -0.00
time (sec) N/A 0.419 6.389 0.000 0.497 0.720 0.000 4.918 0.000




















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 353 353 676 384 499 280 0 1538 -1
normalized size 1 1.00 1.92 1.09 1.41 0.79 0.00 4.36 -0.00
time (sec) N/A 0.528 8.929 0.000 0.530 0.724 0.000 1.932 0.000




















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 406 406 1168 476 543 341 0 2465 -1
normalized size 1 1.00 2.88 1.17 1.34 0.84 0.00 6.07 -0.00
time (sec) N/A 0.627 15.313 0.000 0.521 0.523 0.000 4.904 0.000




















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 228 228 206 251 285 347 0 1358 -1
normalized size 1 1.00 0.90 1.10 1.25 1.52 0.00 5.96 -0.00
time (sec) N/A 0.398 3.419 0.049 0.473 0.508 0.000 3.297 0.000




















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 187 206 264 249 0 842 -1
normalized size 1 1.00 0.94 1.03 1.32 1.24 0.00 4.21 -0.00
time (sec) N/A 0.329 2.797 0.049 0.480 0.745 0.000 1.995 0.000




















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 161 159 219 175 0 452 -1
normalized size 1 1.00 0.93 0.91 1.26 1.01 0.00 2.60 -0.01
time (sec) N/A 0.270 0.822 0.046 0.462 0.519 0.000 0.991 0.000




















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 174 174 161 159 219 175 0 452 -1
normalized size 1 1.00 0.93 0.91 1.26 1.01 0.00 2.60 -0.01
time (sec) N/A 0.249 0.112 0.000 0.462 0.751 0.000 1.006 0.000




















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 200 200 187 206 264 249 0 842 -1
normalized size 1 1.00 0.94 1.03 1.32 1.24 0.00 4.21 -0.00
time (sec) N/A 0.318 1.268 0.000 0.782 0.516 0.000 4.123 0.000




















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 228 228 206 251 285 347 0 1358 -1
normalized size 1 1.00 0.90 1.10 1.25 1.52 0.00 5.96 -0.00
time (sec) N/A 0.378 2.325 0.000 2.022 0.608 0.000 4.929 0.000




















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F(-1) C F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 615 615 3348 719 820 521 0 3689 -1
normalized size 1 1.00 5.44 1.17 1.33 0.85 0.00 6.00 -0.00
time (sec) N/A 1.153 24.098 0.047 0.902 1.013 0.000 15.988 0.000




















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F(-1) C F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 534 534 1041 580 760 427 0 2300 -1
normalized size 1 1.00 1.95 1.09 1.42 0.80 0.00 4.31 -0.00
time (sec) N/A 0.879 11.684 0.045 0.924 0.992 0.000 4.627 0.000




















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 459 459 432 447 674 356 0 1258 -1
normalized size 1 1.00 0.94 0.97 1.47 0.78 0.00 2.74 -0.00
time (sec) N/A 0.671 7.338 0.045 0.836 1.013 0.000 2.743 0.000




















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 459 459 432 447 674 356 0 1258 -1
normalized size 1 1.00 0.94 0.97 1.47 0.78 0.00 2.74 -0.00
time (sec) N/A 0.658 7.259 0.000 0.570 0.671 0.000 2.849 0.000




















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F(-1) C F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 534 534 1041 580 760 427 0 2300 -1
normalized size 1 1.00 1.95 1.09 1.42 0.80 0.00 4.31 -0.00
time (sec) N/A 0.801 11.455 0.000 0.798 0.626 0.000 4.214 0.000




















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F(-1) C F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 615 615 3348 719 820 521 0 3689 -1
normalized size 1 1.00 5.44 1.17 1.33 0.85 0.00 6.00 -0.00
time (sec) N/A 0.953 22.966 0.000 1.787 0.822 0.000 7.576 0.000




















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 273 273 245 0 0 184 0 0 -1
normalized size 1 1.00 0.90 0.00 0.00 0.67 0.00 0.00 -0.00
time (sec) N/A 0.288 0.237 0.176 0.000 0.601 0.000 0.000 0.000




















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 260 260 158 1150 967 378 935 361 576
normalized size 1 1.00 0.61 4.42 3.72 1.45 3.60 1.39 2.22
time (sec) N/A 0.234 1.849 0.089 0.392 0.699 13.230 0.261 1.335




















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 196 196 135 594 549 238 602 241 366
normalized size 1 1.00 0.69 3.03 2.80 1.21 3.07 1.23 1.87
time (sec) N/A 0.161 0.925 0.020 0.361 0.670 7.633 4.509 2.057




















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 134 134 89 260 263 130 320 145 202
normalized size 1 1.00 0.66 1.94 1.96 0.97 2.39 1.08 1.51
time (sec) N/A 0.087 0.462 0.018 0.340 0.640 3.792 2.963 1.634




















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 72 72 75 85 92 58 138 75 94
normalized size 1 1.00 1.04 1.18 1.28 0.81 1.92 1.04 1.31
time (sec) N/A 0.047 0.138 0.020 0.321 0.616 1.936 0.202 0.313




















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 110 178 274 155 0 6046 -1
normalized size 1 1.00 0.85 1.38 2.12 1.20 0.00 46.87 -0.01
time (sec) N/A 0.212 0.341 0.022 0.494 0.423 0.000 1.922 0.000




















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 151 256 301 235 0 0 -1
normalized size 1 1.00 0.84 1.43 1.68 1.31 0.00 0.00 -0.01
time (sec) N/A 0.268 1.631 0.022 0.559 0.744 0.000 0.000 0.000




















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 231 231 197 329 336 397 0 0 -1
normalized size 1 1.00 0.85 1.42 1.45 1.72 0.00 0.00 -0.00
time (sec) N/A 0.329 3.754 0.022 0.687 0.752 0.000 0.000 0.000




















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 287 287 316 404 386 568 0 0 -1
normalized size 1 1.00 1.10 1.41 1.34 1.98 0.00 0.00 -0.00
time (sec) N/A 0.451 2.490 0.020 1.896 0.705 0.000 0.000 0.000




















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 419 419 409 0 0 276 0 0 -1
normalized size 1 1.00 0.98 0.00 0.00 0.66 0.00 0.00 -0.00
time (sec) N/A 0.435 0.573 0.316 0.000 0.872 0.000 0.000 0.000




















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 330 330 563 1842 1339 527 1098 531 816
normalized size 1 1.00 1.71 5.58 4.06 1.60 3.33 1.61 2.47
time (sec) N/A 0.368 3.480 0.073 0.427 1.199 20.952 0.294 4.382




















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 259 259 195 1016 766 342 690 351 516
normalized size 1 1.00 0.75 3.92 2.96 1.32 2.66 1.36 1.99
time (sec) N/A 0.273 2.181 0.022 0.852 0.765 11.354 0.360 2.426




















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 184 184 252 484 375 193 382 209 295
normalized size 1 1.00 1.37 2.63 2.04 1.05 2.08 1.14 1.60
time (sec) N/A 0.190 0.960 0.020 0.600 0.507 6.228 2.110 0.845




















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 109 109 110 175 139 91 163 106 119
normalized size 1 1.00 1.01 1.61 1.28 0.83 1.50 0.97 1.09
time (sec) N/A 0.094 0.357 0.022 0.947 0.760 3.101 2.966 0.469




















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 185 185 154 252 408 229 0 0 -1
normalized size 1 1.00 0.83 1.36 2.21 1.24 0.00 0.00 -0.01
time (sec) N/A 0.280 0.507 0.021 0.507 0.607 0.000 0.000 0.000




















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 257 257 212 367 439 339 0 0 -1
normalized size 1 1.00 0.82 1.43 1.71 1.32 0.00 0.00 -0.00
time (sec) N/A 0.345 2.105 0.023 0.566 0.508 0.000 0.000 0.000




















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 338 338 283 473 474 567 0 0 -1
normalized size 1 1.00 0.84 1.40 1.40 1.68 0.00 0.00 -0.00
time (sec) N/A 0.438 3.373 0.023 1.372 0.541 0.000 0.000 0.000




















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C B F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 413 413 451 583 524 811 0 0 -1
normalized size 1 1.00 1.09 1.41 1.27 1.96 0.00 0.00 -0.00
time (sec) N/A 0.538 3.402 0.023 1.272 0.628 0.000 0.000 0.000




















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F A F(-2) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 285 285 255 0 0 184 0 0 -1
normalized size 1 1.00 0.89 0.00 0.00 0.65 0.00 0.00 -0.00
time (sec) N/A 0.317 3.338 0.252 0.000 0.497 0.000 0.000 0.000




















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 233 233 153 2061 1033 546 1334 359 576
normalized size 1 1.00 0.66 8.85 4.43 2.34 5.73 1.54 2.47
time (sec) N/A 0.266 1.537 0.132 0.391 0.503 31.302 1.126 2.585




















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 181 181 132 1100 602 349 857 241 366
normalized size 1 1.00 0.73 6.08 3.33 1.93 4.73 1.33 2.02
time (sec) N/A 0.219 2.313 0.023 0.349 0.458 18.632 0.379 1.227




















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 91 498 303 194 461 145 202
normalized size 1 1.00 0.71 3.86 2.35 1.50 3.57 1.12 1.57
time (sec) N/A 0.144 0.563 0.020 0.407 0.468 9.992 0.410 0.806




















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 77 77 63 176 119 87 201 75 84
normalized size 1 1.00 0.82 2.29 1.55 1.13 2.61 0.97 1.09
time (sec) N/A 0.074 0.219 0.020 0.796 0.441 5.332 0.241 0.709




















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 129 129 110 178 274 156 0 6046 -1
normalized size 1 1.00 0.85 1.38 2.12 1.21 0.00 46.87 -0.01
time (sec) N/A 0.246 0.308 0.023 0.724 0.440 0.000 0.568 0.000




















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 179 179 189 256 301 248 0 0 -1
normalized size 1 1.00 1.06 1.43 1.68 1.39 0.00 0.00 -0.01
time (sec) N/A 0.297 0.955 0.025 0.485 0.483 0.000 0.000 0.000




















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 239 329 336 434 0 0 -1
normalized size 1 1.00 1.02 1.40 1.43 1.85 0.00 0.00 -0.00
time (sec) N/A 0.353 1.039 0.025 0.686 0.539 0.000 0.000 0.000




















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C B F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 287 287 554 404 386 638 0 0 -1
normalized size 1 1.00 1.93 1.41 1.34 2.22 0.00 0.00 -0.00
time (sec) N/A 0.419 4.944 0.024 0.859 0.561 0.000 0.000 0.000




















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 152 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.172 7.774 0.125 0.000 0.459 0.000 0.000 0.000




















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 307 307 2828 1326 1635 1453 0 0 -1
normalized size 1 1.00 9.21 4.32 5.33 4.73 0.00 0.00 -0.00
time (sec) N/A 0.340 6.521 0.536 1.062 0.661 0.000 0.000 0.000




















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 246 246 1918 899 967 984 0 0 -1
normalized size 1 1.00 7.80 3.65 3.93 4.00 0.00 0.00 -0.00
time (sec) N/A 0.278 6.406 0.463 0.798 0.585 0.000 0.000 0.000




















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 181 181 564 535 522 594 0 0 -1
normalized size 1 1.00 3.12 2.96 2.88 3.28 0.00 0.00 -0.01
time (sec) N/A 0.227 2.904 0.493 0.460 0.562 0.000 0.000 0.000




















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 114 114 131 249 222 292 0 0 -1
normalized size 1 1.00 1.15 2.18 1.95 2.56 0.00 0.00 -0.01
time (sec) N/A 0.128 0.346 0.411 0.787 0.588 0.000 0.000 0.000




















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.144 0.813 0.302 0.000 0.462 0.000 0.000 0.000




















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 102 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.170 2.493 0.461 0.000 0.458 0.000 0.000 0.000




















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 154 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.239 9.893 0.096 0.000 0.427 0.000 0.000 0.000




















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B F(-1) C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 299 299 798 1056 0 1233 0 0 -1
normalized size 1 1.00 2.67 3.53 0.00 4.12 0.00 0.00 -0.00
time (sec) N/A 0.293 1.713 0.161 0.000 0.634 0.000 0.000 0.000




















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 216 216 539 649 11018 797 0 0 -1
normalized size 1 1.00 2.50 3.00 51.01 3.69 0.00 0.00 -0.00
time (sec) N/A 0.222 1.424 0.129 1.962 0.559 0.000 0.000 0.000




















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 139 139 310 332 3284 448 0 0 -1
normalized size 1 1.00 2.23 2.39 23.63 3.22 0.00 0.00 -0.01
time (sec) N/A 0.149 3.915 0.131 1.665 0.497 0.000 0.000 0.000




















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C B A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 104 124 2110 95 0 1967 162
normalized size 1 1.00 1.79 2.14 36.38 1.64 0.00 33.91 2.79
time (sec) N/A 0.063 0.679 0.141 0.394 0.464 0.000 5.159 2.305




















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 75 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.214 3.717 0.273 0.000 0.442 0.000 0.000 0.000




















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 93 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.256 4.041 0.435 0.000 0.450 0.000 0.000 0.000




















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.036 11.481 0.115 0.000 0.439 0.000 0.000 0.000




















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 302 302 1534 1868 7111 1747 0 0 -1
normalized size 1 1.00 5.08 6.19 23.55 5.78 0.00 0.00 -0.00
time (sec) N/A 0.462 7.120 0.204 4.852 0.583 0.000 0.000 0.000




















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 256 256 994 1194 3952 1135 0 0 -1
normalized size 1 1.00 3.88 4.66 15.44 4.43 0.00 0.00 -0.00
time (sec) N/A 0.368 6.893 0.139 1.737 0.550 0.000 0.000 0.000




















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 168 168 540 635 1966 655 0 0 -1
normalized size 1 1.00 3.21 3.78 11.70 3.90 0.00 0.00 -0.01
time (sec) N/A 0.266 6.681 0.112 0.709 0.474 0.000 0.000 0.000




















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 109 109 240 281 839 339 0 0 -1
normalized size 1 1.00 2.20 2.58 7.70 3.11 0.00 0.00 -0.01
time (sec) N/A 0.128 6.166 0.086 0.528 0.459 0.000 0.000 0.000




















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.040 8.080 2.646 0.000 0.438 0.000 0.000 0.000




















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.037 9.289 4.187 0.000 0.471 0.000 0.000 0.000




















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 407 407 550 470 547 376 0 2418 -1
normalized size 1 1.00 1.35 1.15 1.34 0.92 0.00 5.94 -0.00
time (sec) N/A 0.797 12.148 0.045 0.563 0.567 0.000 3.319 0.000




















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 351 351 393 376 503 294 0 1503 -1
normalized size 1 1.00 1.12 1.07 1.43 0.84 0.00 4.28 -0.00
time (sec) N/A 0.556 2.983 0.039 0.511 0.503 0.000 2.647 0.000




















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 264 286 425 233 0 818 -1
normalized size 1 1.00 0.88 0.96 1.42 0.78 0.00 2.74 -0.00
time (sec) N/A 0.447 0.590 0.038 0.537 0.510 0.000 2.818 0.000




















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 264 286 425 233 0 818 -1
normalized size 1 1.00 0.88 0.96 1.42 0.78 0.00 2.74 -0.00
time (sec) N/A 0.455 0.159 0.000 0.511 0.546 0.000 0.981 0.000




















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 351 351 393 376 503 294 0 1503 -1
normalized size 1 1.00 1.12 1.07 1.43 0.84 0.00 4.28 -0.00
time (sec) N/A 0.572 1.199 0.001 0.535 0.507 0.000 3.867 0.000




















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 407 407 550 470 547 376 0 2418 -1
normalized size 1 1.00 1.35 1.15 1.34 0.92 0.00 5.94 -0.00
time (sec) N/A 0.672 8.395 0.000 0.519 0.535 0.000 3.104 0.000




















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F(-1) C F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 615 615 1795 716 820 548 0 3677 -1
normalized size 1 1.00 2.92 1.16 1.33 0.89 0.00 5.98 -0.00
time (sec) N/A 1.145 22.421 0.068 0.566 0.579 0.000 18.657 0.000




















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 534 534 1043 583 754 446 0 2293 -1
normalized size 1 1.00 1.95 1.09 1.41 0.84 0.00 4.29 -0.00
time (sec) N/A 0.838 12.002 0.065 0.584 0.560 0.000 7.722 0.000




















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 459 459 435 444 674 365 0 1258 -1
normalized size 1 1.00 0.95 0.97 1.47 0.80 0.00 2.74 -0.00
time (sec) N/A 0.693 6.942 0.062 0.519 0.541 0.000 2.148 0.000




















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 459 459 435 444 674 365 0 1258 -1
normalized size 1 1.00 0.95 0.97 1.47 0.80 0.00 2.74 -0.00
time (sec) N/A 0.672 6.874 0.000 0.513 0.538 0.000 4.485 0.000




















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 534 534 1043 583 754 446 0 2293 -1
normalized size 1 1.00 1.95 1.09 1.41 0.84 0.00 4.29 -0.00
time (sec) N/A 0.858 11.710 0.000 0.535 0.585 0.000 7.042 0.000




















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A C A F(-1) C F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 615 615 1795 716 820 548 0 3677 -1
normalized size 1 1.00 2.92 1.16 1.33 0.89 0.00 5.98 -0.00
time (sec) N/A 1.015 21.748 0.002 0.577 0.571 0.000 12.742 0.000




















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 407 407 550 477 557 445 0 2417 -1
normalized size 1 1.00 1.35 1.17 1.37 1.09 0.00 5.94 -0.00
time (sec) N/A 0.897 5.073 0.046 0.534 0.594 0.000 13.771 0.000




















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 351 351 391 383 513 326 0 1502 -1
normalized size 1 1.00 1.11 1.09 1.46 0.93 0.00 4.28 -0.00
time (sec) N/A 0.628 2.831 0.045 0.514 0.559 0.000 12.684 0.000




















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 264 293 435 242 0 818 -1
normalized size 1 1.00 0.88 0.98 1.45 0.81 0.00 2.74 -0.00
time (sec) N/A 0.458 1.250 0.043 0.525 0.511 0.000 7.825 0.000




















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 299 299 264 293 435 242 0 818 -1
normalized size 1 1.00 0.88 0.98 1.45 0.81 0.00 2.74 -0.00
time (sec) N/A 0.448 0.523 0.000 0.512 0.564 0.000 3.740 0.000




















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 351 351 391 383 513 326 0 1502 -1
normalized size 1 1.00 1.11 1.09 1.46 0.93 0.00 4.28 -0.00
time (sec) N/A 0.559 0.202 0.000 0.542 0.580 0.000 13.119 0.000




















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 407 407 550 477 557 445 0 2417 -1
normalized size 1 1.00 1.35 1.17 1.37 1.09 0.00 5.94 -0.00
time (sec) N/A 0.669 2.738 0.000 0.564 0.606 0.000 16.884 0.000




















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F(-2) C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 104 150 0 244 0 0 -1
normalized size 1 1.00 0.93 1.34 0.00 2.18 0.00 0.00 -0.01
time (sec) N/A 0.185 0.171 0.122 0.000 0.510 0.000 0.000 0.000




















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F(-2) B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 72 112 0 162 0 0 -1
normalized size 1 1.00 0.87 1.35 0.00 1.95 0.00 0.00 -0.01
time (sec) N/A 0.170 0.100 0.111 0.000 0.484 0.000 0.000 0.000




















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F(-2) A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 76 0 45 0 206 56
normalized size 1 1.00 1.00 2.30 0.00 1.36 0.00 6.24 1.70
time (sec) N/A 0.055 0.024 0.115 0.000 0.461 0.000 0.224 1.234




















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 180 180 159 240 3719 508 0 0 -1
normalized size 1 1.00 0.88 1.33 20.66 2.82 0.00 0.00 -0.01
time (sec) N/A 0.401 0.408 0.157 0.945 0.510 0.000 0.000 0.000




















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 106 106 108 170 2855 370 0 0 -1
normalized size 1 1.00 1.02 1.60 26.93 3.49 0.00 0.00 -0.01
time (sec) N/A 0.278 0.332 0.164 0.752 0.536 0.000 0.000 0.000




















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 62 109 1739 203 0 0 -1
normalized size 1 1.00 0.85 1.49 23.82 2.78 0.00 0.00 -0.01
time (sec) N/A 0.164 0.111 0.138 0.588 0.482 0.000 0.000 0.000




















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.018 2.554 0.131 0.000 0.424 0.000 0.000 0.000




















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 158 158 157 616 792 1402 0 0 -1
normalized size 1 1.00 0.99 3.90 5.01 8.87 0.00 0.00 -0.01
time (sec) N/A 0.210 0.068 0.109 0.604 0.569 0.000 0.000 0.000




















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 132 132 126 423 490 970 0 0 -1
normalized size 1 1.00 0.95 3.20 3.71 7.35 0.00 0.00 -0.01
time (sec) N/A 0.183 0.085 0.079 0.573 0.537 0.000 0.000 0.000




















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 96 96 100 257 280 594 0 0 -1
normalized size 1 1.00 1.04 2.68 2.92 6.19 0.00 0.00 -0.01
time (sec) N/A 0.153 0.041 0.064 0.529 0.496 0.000 0.000 0.000




















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 70 123 114 310 0 0 148
normalized size 1 1.00 1.06 1.86 1.73 4.70 0.00 0.00 2.24
time (sec) N/A 0.093 0.014 0.071 0.525 0.494 0.000 0.000 1.572




















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.020 3.532 0.128 0.000 0.438 0.000 0.000 0.000




















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 17 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.06
time (sec) N/A 0.020 5.299 0.135 0.000 0.440 0.000 0.000 0.000




















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 148 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.136 6.617 0.270 0.000 0.431 0.000 0.000 0.000




















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 275 275 557 901 924 1071 0 0 -1
normalized size 1 1.00 2.03 3.28 3.36 3.89 0.00 0.00 -0.00
time (sec) N/A 0.215 1.470 0.362 0.673 0.555 0.000 0.000 0.000




















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 186 186 315 512 510 656 0 0 -1
normalized size 1 1.00 1.69 2.75 2.74 3.53 0.00 0.00 -0.01
time (sec) N/A 0.146 0.832 0.260 0.597 0.518 0.000 0.000 0.000




















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B F(-1) B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 213 209 0 331 0 0 -1
normalized size 1 1.00 2.07 2.03 0.00 3.21 0.00 0.00 -0.01
time (sec) N/A 0.068 0.402 0.057 0.000 1.036 0.000 0.000 0.000




















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 69 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.110 6.038 0.269 0.000 0.434 0.000 0.000 0.000




















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 87 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.139 7.080 0.422 0.000 0.428 0.000 0.000 0.000




















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 152 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.171 7.810 0.252 0.000 0.444 0.000 0.000 0.000




















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 251 251 1720 641 685 1134 0 0 -1
normalized size 1 1.00 6.85 2.55 2.73 4.52 0.00 0.00 -0.00
time (sec) N/A 0.298 7.120 0.218 0.561 0.615 0.000 0.000 0.000




















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 184 184 518 379 379 688 0 0 -1
normalized size 1 1.00 2.82 2.06 2.06 3.74 0.00 0.00 -0.01
time (sec) N/A 0.228 6.469 0.327 0.531 0.543 0.000 0.000 0.000




















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 134 179 145 346 0 0 -1
normalized size 1 1.00 1.17 1.56 1.26 3.01 0.00 0.00 -0.01
time (sec) N/A 0.128 0.300 0.339 0.516 0.495 0.000 0.000 0.000




















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 82 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.151 0.763 0.453 0.000 0.438 0.000 0.000 0.000




















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 102 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.176 2.401 0.693 0.000 0.422 0.000 0.000 0.000




















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.183 5.892 0.060 0.000 0.431 0.000 0.000 0.000




















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 247 247 578 1242 1779 2600 0 0 -1
normalized size 1 1.00 2.34 5.03 7.20 10.53 0.00 0.00 -0.00
time (sec) N/A 0.229 1.285 0.170 0.714 0.658 0.000 0.000 0.000




















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 197 197 350 816 1063 1778 0 0 -1
normalized size 1 1.00 1.78 4.14 5.40 9.03 0.00 0.00 -0.01
time (sec) N/A 0.166 0.946 0.119 0.610 0.604 0.000 0.000 0.000




















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 127 127 213 469 590 1090 0 0 -1
normalized size 1 1.00 1.68 3.69 4.65 8.58 0.00 0.00 -0.01
time (sec) N/A 0.117 0.589 0.093 0.596 0.559 0.000 0.000 0.000




















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 141 208 267 554 0 0 -1
normalized size 1 1.00 1.99 2.93 3.76 7.80 0.00 0.00 -0.01
time (sec) N/A 0.056 0.115 0.081 0.697 0.517 0.000 0.000 0.000




















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.045 4.533 0.099 0.000 0.441 0.000 0.000 0.000




















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 22 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.041 5.715 0.099 0.000 0.446 0.000 0.000 0.000




















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.197 17.786 0.082 0.000 0.459 0.000 0.000 0.000




















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 350 350 739 1158 3240 1753 0 0 -1
normalized size 1 1.00 2.11 3.31 9.26 5.01 0.00 0.00 -0.00
time (sec) N/A 0.640 6.410 0.501 1.411 0.651 0.000 0.000 0.000




















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 226 226 593 556 1632 1067 0 0 -1
normalized size 1 1.00 2.62 2.46 7.22 4.72 0.00 0.00 -0.00
time (sec) N/A 0.384 6.275 0.277 0.774 0.560 0.000 0.000 0.000




















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C A F(-1) B F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 131 131 517 235 0 434 0 0 -1
normalized size 1 1.00 3.95 1.79 0.00 3.31 0.00 0.00 -0.01
time (sec) N/A 0.135 2.908 0.129 0.000 0.504 0.000 0.000 0.000




















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.160 11.546 2.634 0.000 0.462 0.000 0.000 0.000




















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.190 11.077 3.124 0.000 0.463 0.000 0.000 0.000




















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.237 18.288 0.111 0.000 0.422 0.000 0.000 0.000




















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 325 325 1477 1223 5140 3459 0 0 -1
normalized size 1 1.00 4.54 3.76 15.82 10.64 0.00 0.00 -0.00
time (sec) N/A 0.823 6.975 0.187 2.137 0.772 0.000 0.000 0.000




















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 201 201 872 632 2522 1987 0 0 -1
normalized size 1 1.00 4.34 3.14 12.55 9.89 0.00 0.00 -0.00
time (sec) N/A 0.443 6.757 0.164 0.823 0.642 0.000 0.000 0.000




















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 141 141 210 270 1035 942 0 0 -1
normalized size 1 1.00 1.49 1.91 7.34 6.68 0.00 0.00 -0.01
time (sec) N/A 0.139 0.898 0.125 0.625 0.541 0.000 0.000 0.000




















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.147 14.068 3.382 0.000 0.530 0.000 0.000 0.000




















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.192 16.231 5.592 0.000 0.638 0.000 0.000 0.000




















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.142 2.700 0.080 0.000 0.439 0.000 0.000 0.000




















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 227 227 428 767 2944 1186 0 0 -1
normalized size 1 1.00 1.89 3.38 12.97 5.22 0.00 0.00 -0.00
time (sec) N/A 0.186 1.168 0.196 0.792 0.575 0.000 0.000 0.000




















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 159 159 256 463 1774 779 0 0 -1
normalized size 1 1.00 1.61 2.91 11.16 4.90 0.00 0.00 -0.01
time (sec) N/A 0.126 0.807 0.128 0.621 0.530 0.000 0.000 0.000




















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F(-1) B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 97 97 174 239 0 446 0 0 -1
normalized size 1 1.00 1.79 2.46 0.00 4.60 0.00 0.00 -0.01
time (sec) N/A 0.068 1.655 0.023 0.000 0.504 0.000 0.000 0.000




















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A B B F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 29 29 93 49 259 60 0 1537 78
normalized size 1 1.00 3.21 1.69 8.93 2.07 0.00 53.00 2.69
time (sec) N/A 0.019 0.045 0.021 0.449 0.475 0.000 1.308 2.583




















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.094 11.050 0.169 0.000 0.441 0.000 0.000 0.000




















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.115 19.124 0.237 0.000 0.433 0.000 0.000 0.000




















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.036 2.877 0.083 0.000 0.430 0.000 0.000 0.000




















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 128 128 424 348 1363 373 0 0 -1
normalized size 1 1.00 3.31 2.72 10.65 2.91 0.00 0.00 -0.01
time (sec) N/A 0.210 6.545 0.131 0.630 0.462 0.000 0.000 0.000




















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 96 96 276 191 417 210 0 0 -1
normalized size 1 1.00 2.88 1.99 4.34 2.19 0.00 0.00 -0.01
time (sec) N/A 0.141 6.368 0.089 0.602 0.465 0.000 0.000 0.000




















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 40 40 76 47 237 53 65 223 52
normalized size 1 1.00 1.90 1.18 5.92 1.32 1.62 5.58 1.30
time (sec) N/A 0.028 0.276 0.053 0.457 0.436 0.246 0.561 1.436




















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.040 3.833 0.168 0.000 0.439 0.000 0.000 0.000




















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.039 5.071 0.235 0.000 0.458 0.000 0.000 0.000




















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 150 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.157 23.697 0.090 0.000 0.431 0.000 0.000 0.000




















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 228 228 532 677 11054 892 0 0 -1
normalized size 1 1.00 2.33 2.97 48.48 3.91 0.00 0.00 -0.00
time (sec) N/A 0.211 1.545 0.125 2.377 0.566 0.000 0.000 0.000




















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B F(-1) B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 145 145 362 345 0 511 0 0 -1
normalized size 1 1.00 2.50 2.38 0.00 3.52 0.00 0.00 -0.01
time (sec) N/A 0.131 3.118 0.126 0.000 0.533 0.000 0.000 0.000




















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A C B A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 56 56 107 123 2123 93 0 2762 151
normalized size 1 1.00 1.91 2.20 37.91 1.66 0.00 49.32 2.70
time (sec) N/A 0.054 0.299 0.158 0.483 0.480 0.000 7.901 1.161




















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 76 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.150 3.778 0.186 0.000 0.457 0.000 0.000 0.000




















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 94 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.181 4.069 0.280 0.000 0.491 0.000 0.000 0.000




















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.248 24.569 0.082 0.000 0.435 0.000 0.000 0.000




















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 469 469 694 1866 5695 2507 0 0 -1
normalized size 1 1.00 1.48 3.98 12.14 5.35 0.00 0.00 -0.00
time (sec) N/A 0.795 3.365 0.599 2.568 0.815 0.000 0.000 0.000




















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 343 343 473 1152 3205 1697 0 0 -1
normalized size 1 1.00 1.38 3.36 9.34 4.95 0.00 0.00 -0.00
time (sec) N/A 0.573 1.342 0.467 1.143 0.650 0.000 0.000 0.000




















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 219 219 317 568 1598 1031 0 0 -1
normalized size 1 1.00 1.45 2.59 7.30 4.71 0.00 0.00 -0.00
time (sec) N/A 0.377 2.472 0.266 0.687 0.569 0.000 0.000 0.000




















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B B F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 113 122 212 160 806 366 0 0 -1
normalized size 1 1.08 1.88 1.42 7.13 3.24 0.00 0.00 -0.01
time (sec) N/A 0.130 0.485 0.106 0.619 0.471 0.000 0.000 0.000




















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.153 9.652 2.332 0.000 0.438 0.000 0.000 0.000




















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.180 9.758 2.560 0.000 0.446 0.000 0.000 0.000




















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.190 2.633 0.076 0.000 0.427 0.000 0.000 0.000




















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 118 118 285 687 2355 1627 0 0 -1
normalized size 1 1.00 2.42 5.82 19.96 13.79 0.00 0.00 -0.01
time (sec) N/A 0.280 2.131 0.133 0.745 0.619 0.000 0.000 0.000




















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 277 351 777 950 0 0 -1
normalized size 1 1.00 3.15 3.99 8.83 10.80 0.00 0.00 -0.01
time (sec) N/A 0.191 1.716 0.119 0.686 0.558 0.000 0.000 0.000




















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 32 182 308 75 0 0 55
normalized size 1 1.00 0.91 5.20 8.80 2.14 0.00 0.00 1.57
time (sec) N/A 0.059 0.203 0.088 0.477 0.448 0.000 0.000 1.656




















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.094 7.065 0.431 0.000 0.431 0.000 0.000 0.000




















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.086 7.326 0.776 0.000 0.425 0.000 0.000 0.000




















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.215 25.514 0.136 0.000 0.432 0.000 0.000 0.000




















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 601 601 907 1613 8043 3173 0 0 -1
normalized size 1 1.00 1.51 2.68 13.38 5.28 0.00 0.00 -0.00
time (sec) N/A 2.313 8.346 0.540 6.030 0.813 0.000 0.000 0.000




















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 305 305 889 802 3820 1801 0 0 -1
normalized size 1 1.00 2.91 2.63 12.52 5.90 0.00 0.00 -0.00
time (sec) N/A 0.865 7.971 0.307 1.616 0.656 0.000 0.000 0.000




















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A B B F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 154 174 520 267 1503 621 0 0 -1
normalized size 1 1.13 3.38 1.73 9.76 4.03 0.00 0.00 -0.01
time (sec) N/A 0.191 4.923 0.158 0.900 0.517 0.000 0.000 0.000




















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.201 22.219 2.670 0.000 0.506 0.000 0.000 0.000




















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.224 30.370 5.195 0.000 0.584 0.000 0.000 0.000




















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.924 39.651 0.113 0.000 0.452 0.000 0.000 0.000




















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F B C F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 387 387 672 0 3989 1735 0 0 -1
normalized size 1 1.00 1.74 0.00 10.31 4.48 0.00 0.00 -0.00
time (sec) N/A 0.960 7.210 1.624 1.241 0.619 0.000 0.000 0.000




















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 235 235 613 429 2219 1229 0 0 -1
normalized size 1 1.00 2.61 1.83 9.44 5.23 0.00 0.00 -0.00
time (sec) N/A 0.537 6.623 0.224 0.743 0.562 0.000 0.000 0.000




















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A B B F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 126 126 282 182 1184 527 0 0 -1
normalized size 1 1.00 2.24 1.44 9.40 4.18 0.00 0.00 -0.01
time (sec) N/A 0.168 2.409 0.141 0.685 0.512 0.000 0.000 0.000




















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.500 47.009 0.779 0.000 0.439 0.000 0.000 0.000




















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 23 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.513 19.784 0.882 0.000 0.452 0.000 0.000 0.000




















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.152 5.405 0.095 0.000 0.448 0.000 0.000 0.000




















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 139 139 418 489 3438 888 0 0 -1
normalized size 1 1.00 3.01 3.52 24.73 6.39 0.00 0.00 -0.01
time (sec) N/A 0.258 6.561 0.111 0.684 0.572 0.000 0.000 0.000




















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 115 115 286 301 667 540 0 0 -1
normalized size 1 1.00 2.49 2.62 5.80 4.70 0.00 0.00 -0.01
time (sec) N/A 0.174 6.378 0.098 0.629 0.533 0.000 0.000 0.000




















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 55 55 66 95 988 86 0 4474 150
normalized size 1 1.00 1.20 1.73 17.96 1.56 0.00 81.35 2.73
time (sec) N/A 0.062 0.510 0.030 0.523 0.451 0.000 1.815 3.063




















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 35 35 48 61 283 36 0 571 53
normalized size 1 1.00 1.37 1.74 8.09 1.03 0.00 16.31 1.51
time (sec) N/A 0.032 0.061 0.030 0.351 0.409 0.000 1.844 2.187




















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.106 7.244 0.278 0.000 0.488 0.000 0.000 0.000




















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.128 10.385 0.292 0.000 0.448 0.000 0.000 0.000




















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A F(-1) A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 39 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.084 180.018 0.090 0.000 0.422 0.000 0.000 0.000




















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 337 337 530 1127 3828 1311 0 0 -1
normalized size 1 1.00 1.57 3.34 11.36 3.89 0.00 0.00 -0.00
time (sec) N/A 0.408 3.400 0.208 2.009 0.639 0.000 0.000 0.000




















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 193 193 526 584 1893 791 0 0 -1
normalized size 1 1.00 2.73 3.03 9.81 4.10 0.00 0.00 -0.01
time (sec) N/A 0.271 7.183 0.174 0.851 0.548 0.000 0.000 0.000




















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B F(-1) B F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 117 117 555 267 0 435 0 0 -1
normalized size 1 1.00 4.74 2.28 0.00 3.72 0.00 0.00 -0.01
time (sec) N/A 0.129 6.504 0.116 0.000 0.525 0.000 0.000 0.000




















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 39 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.091 26.390 1.595 0.000 0.456 0.000 0.000 0.000




















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 39 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.089 29.120 2.605 0.000 0.449 0.000 0.000 0.000




















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.035 9.704 0.118 0.000 0.422 0.000 0.000 0.000




















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 259 259 803 720 2405 590 0 0 -1
normalized size 1 1.00 3.10 2.78 9.29 2.28 0.00 0.00 -0.00
time (sec) N/A 0.356 6.886 0.127 1.186 0.454 0.000 0.000 0.000




















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 169 169 454 400 1226 352 0 0 -1
normalized size 1 1.00 2.69 2.37 7.25 2.08 0.00 0.00 -0.01
time (sec) N/A 0.222 6.656 0.098 0.673 0.455 0.000 0.000 0.000




















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A B A F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 108 108 240 183 519 168 0 0 -1
normalized size 1 1.00 2.22 1.69 4.81 1.56 0.00 0.00 -0.01
time (sec) N/A 0.117 6.153 0.076 0.583 0.430 0.000 0.000 0.000




















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.039 6.531 1.759 0.000 0.425 0.000 0.000 0.000




















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 19 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.05
time (sec) N/A 0.037 6.961 2.733 0.000 0.417 0.000 0.000 0.000




















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.269 13.368 0.105 0.000 0.415 0.000 0.000 0.000




















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 399 399 2090 1729 8770 3308 0 0 -1
normalized size 1 1.00 5.24 4.33 21.98 8.29 0.00 0.00 -0.00
time (sec) N/A 0.971 7.470 0.247 6.051 1.046 0.000 0.000 0.000




















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 325 325 1486 1115 4918 2260 0 0 -1
normalized size 1 1.00 4.57 3.43 15.13 6.95 0.00 0.00 -0.00
time (sec) N/A 0.640 6.909 0.162 2.019 0.830 0.000 0.000 0.000




















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 201 201 875 614 2442 1396 0 0 -1
normalized size 1 1.00 4.35 3.05 12.15 6.95 0.00 0.00 -0.00
time (sec) N/A 0.414 6.757 0.132 0.815 0.654 0.000 0.000 0.000




















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B B F F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 139 141 212 270 1035 760 0 0 -1
normalized size 1 1.01 1.53 1.94 7.45 5.47 0.00 0.00 -0.01
time (sec) N/A 0.135 0.564 0.109 0.633 0.558 0.000 0.000 0.000




















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.189 9.076 3.352 0.000 0.525 0.000 0.000 0.000




















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 25 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.209 6.651 5.624 0.000 0.629 0.000 0.000 0.000




















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.233 30.513 0.139 0.000 0.462 0.000 0.000 0.000




















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 486 486 819 1629 8032 2218 0 0 -1
normalized size 1 1.00 1.69 3.35 16.53 4.56 0.00 0.00 -0.00
time (sec) N/A 1.206 7.897 0.560 6.459 0.837 0.000 0.000 0.000




















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 341 341 889 770 3819 1362 0 0 -1
normalized size 1 1.00 2.61 2.26 11.20 3.99 0.00 0.00 -0.00
time (sec) N/A 0.648 7.530 0.316 1.622 0.649 0.000 0.000 0.000




















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C B F(-1) B F F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 162 182 669 344 0 592 0 0 -1
normalized size 1 1.12 4.13 2.12 0.00 3.65 0.00 0.00 -0.01
time (sec) N/A 0.196 6.588 0.164 0.000 0.537 0.000 0.000 0.000




















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.187 20.743 3.249 0.000 0.527 0.000 0.000 0.000




















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.197 25.884 4.286 0.000 0.578 0.000 0.000 0.000




















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 27 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.265 32.372 0.118 0.000 0.430 0.000 0.000 0.000




















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 318 318 483 1329 5610 4193 0 0 -1
normalized size 1 1.00 1.52 4.18 17.64 13.19 0.00 0.00 -0.00
time (sec) N/A 0.321 8.626 0.218 3.734 0.945 0.000 0.000 0.000




















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 190 190 381 716 2722 2387 0 0 -1
normalized size 1 1.00 2.01 3.77 14.33 12.56 0.00 0.00 -0.01
time (sec) N/A 0.213 8.177 0.157 1.102 0.700 0.000 0.000 0.000




















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B B F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 110 110 236 325 1078 1193 0 0 -1
normalized size 1 1.00 2.15 2.95 9.80 10.85 0.00 0.00 -0.01
time (sec) N/A 0.106 2.088 0.171 0.748 0.596 0.000 0.000 0.000




















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.087 28.703 1.049 0.000 0.512 0.000 0.000 0.000




















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 24 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.04
time (sec) N/A 0.088 32.466 3.790 0.000 0.568 0.000 0.000 0.000




















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 73 0 0 0 0 0 -1
normalized size 1 1.00 0.88 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.054 0.330 0.080 0.000 0.000 0.000 0.000 0.000




















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 51 0 0 0 0 0 -1
normalized size 1 1.00 0.85 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.040 0.375 0.042 0.000 0.000 0.000 0.000 0.000




















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 52 0 0 0 0 0 -1
normalized size 1 1.00 0.87 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.039 0.152 0.039 0.000 0.000 0.000 0.000 0.000




















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B C F F(-2) F F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 33 33 181 310 0 0 0 0 -1
normalized size 1 1.00 5.48 9.39 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.026 1.759 0.156 0.000 0.000 0.000 0.000 0.000




















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 33 33 33 0 0 0 0 0 -1
normalized size 1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.026 0.160 0.039 0.000 0.000 0.000 0.000 0.000




















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 54 0 0 0 0 0 -1
normalized size 1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.036 0.185 0.039 0.000 0.000 0.000 0.000 0.000




















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 60 60 53 0 0 0 0 0 -1
normalized size 1 1.00 0.88 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.038 0.230 0.039 0.000 0.000 0.000 0.000 0.000




















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 83 83 65 0 0 0 0 0 -1
normalized size 1 1.00 0.78 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.048 0.256 0.043 0.000 0.000 0.000 0.000 0.000




















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 65 0 0 0 0 0 -1
normalized size 1 1.00 0.63 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.062 0.280 0.060 0.000 0.000 0.000 0.000 0.000




















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 61 0 0 0 0 0 -1
normalized size 1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.049 0.231 0.048 0.000 0.000 0.000 0.000 0.000




















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 54 0 0 0 0 0 -1
normalized size 1 1.00 0.68 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.053 0.184 0.049 0.000 0.000 0.000 0.000 0.000




















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 42 0 0 0 0 0 -1
normalized size 1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.036 0.127 0.049 0.000 0.000 0.000 0.000 0.000




















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B C F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 53 53 132 310 0 0 0 0 -1
normalized size 1 1.00 2.49 5.85 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.037 2.154 0.083 0.000 0.000 0.000 0.000 0.000




















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 63 0 0 0 0 0 -1
normalized size 1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.046 0.236 0.048 0.000 0.000 0.000 0.000 0.000




















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 80 80 212 0 0 0 0 0 -1
normalized size 1 1.00 2.65 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.047 8.104 0.046 0.000 0.000 0.000 0.000 0.000




















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 103 103 89 0 0 0 0 0 -1
normalized size 1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.060 0.338 0.045 0.000 0.000 0.000 0.000 0.000




















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 67 0 0 0 0 0 -1
normalized size 1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.044 0.541 0.056 0.000 0.000 0.000 0.000 0.000




















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 108 0 0 0 0 0 -1
normalized size 1 1.00 1.66 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.032 0.903 0.046 0.000 0.000 0.000 0.000 0.000




















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 56 0 0 0 0 0 -1
normalized size 1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.032 0.189 0.041 0.000 0.000 0.000 0.000 0.000




















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 86 308 0 0 0 0 -1
normalized size 1 1.00 2.26 8.11 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.022 1.159 0.115 0.000 0.000 0.000 0.000 0.000




















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 38 38 37 0 0 0 0 0 -1
normalized size 1 1.00 0.97 0.00 0.00 0.00 0.00 0.00 -0.03
time (sec) N/A 0.023 0.177 0.040 0.000 0.000 0.000 0.000 0.000




















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 56 0 0 0 0 0 -1
normalized size 1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.032 0.179 0.042 0.000 0.000 0.000 0.000 0.000




















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 65 65 57 0 0 0 0 0 -1
normalized size 1 1.00 0.88 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.034 0.228 0.043 0.000 0.000 0.000 0.000 0.000




















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 88 88 73 0 0 0 0 0 -1
normalized size 1 1.00 0.83 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.044 0.288 0.043 0.000 0.000 0.000 0.000 0.000




















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 73 0 0 0 0 0 -1
normalized size 1 1.00 0.68 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.058 0.266 0.076 0.000 0.000 0.000 0.000 0.000




















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 65 0 0 0 0 0 -1
normalized size 1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.044 0.292 0.060 0.000 0.000 0.000 0.000 0.000




















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 56 0 0 0 0 0 -1
normalized size 1 1.00 0.66 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.040 0.178 0.064 0.000 0.000 0.000 0.000 0.000




















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F(-1) F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 46 0 0 0 0 0 -1
normalized size 1 1.00 0.79 0.00 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.032 0.137 0.061 0.000 0.000 0.000 0.000 0.000




















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C C F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 58 58 106 308 0 0 0 0 -1
normalized size 1 1.00 1.83 5.31 0.00 0.00 0.00 0.00 -0.02
time (sec) N/A 0.032 0.724 0.125 0.000 0.000 0.000 0.000 0.000




















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 65 0 0 0 0 0 -1
normalized size 1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.044 0.225 0.053 0.000 0.000 0.000 0.000 0.000




















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A C F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 85 85 114 0 0 0 0 0 -1
normalized size 1 1.00 1.34 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.044 0.983 0.052 0.000 0.000 0.000 0.000 0.000




















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A F F F(-2) F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 108 108 93 0 0 0 0 0 -1
normalized size 1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.060 0.394 0.053 0.000 0.000 0.000 0.000 0.000




















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 31 31 22 26 18 17 37 18 18
normalized size 1 1.00 0.71 0.84 0.58 0.55 1.19 0.58 0.58
time (sec) N/A 0.041 0.018 0.055 0.318 0.449 1.884 0.150 0.092




















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 131 131 154 260 146 200 440 167 212
normalized size 1 1.00 1.18 1.98 1.11 1.53 3.36 1.27 1.62
time (sec) N/A 0.188 0.224 0.078 0.346 0.447 25.349 2.643 2.261




















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 115 115 109 179 101 127 289 112 136
normalized size 1 1.00 0.95 1.56 0.88 1.10 2.51 0.97 1.18
time (sec) N/A 0.141 0.163 0.058 0.338 0.471 13.049 0.294 0.343




















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 73 73 60 107 60 70 155 64 73
normalized size 1 1.00 0.82 1.47 0.82 0.96 2.12 0.88 1.00
time (sec) N/A 0.103 0.109 0.056 0.333 0.455 6.972 0.163 1.815




















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 41 41 34 52 27 27 56 27 30
normalized size 1 1.00 0.83 1.27 0.66 0.66 1.37 0.66 0.73
time (sec) N/A 0.056 0.018 0.056 0.342 0.439 3.852 1.506 1.715




















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 49 58 95 62 0 51 -1
normalized size 1 1.00 0.86 1.02 1.67 1.09 0.00 0.89 -0.02
time (sec) N/A 0.252 0.061 0.056 0.382 0.440 0.000 2.954 0.000




















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F A F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 78 78 61 82 324 95 0 111 -1
normalized size 1 1.00 0.78 1.05 4.15 1.22 0.00 1.42 -0.01
time (sec) N/A 0.238 0.138 0.054 0.401 0.479 0.000 0.196 0.000




















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F B F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 99 99 77 104 362 158 0 201 -1
normalized size 1 1.00 0.78 1.05 3.66 1.60 0.00 2.03 -0.01
time (sec) N/A 0.329 0.243 0.058 0.422 0.443 0.000 2.727 0.000




















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 198 198 128 1000 244 283 0 4684 344
normalized size 1 1.00 0.65 5.05 1.23 1.43 0.00 23.66 1.74
time (sec) N/A 0.252 0.683 0.056 0.401 0.449 0.000 0.553 0.650




















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 171 171 105 580 173 188 0 3139 216
normalized size 1 1.00 0.61 3.39 1.01 1.10 0.00 18.36 1.26
time (sec) N/A 0.184 0.422 0.036 0.372 0.449 0.000 4.428 2.182




















Problem 370 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B A A F(-1) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 112 112 73 294 108 111 0 1880 121
normalized size 1 1.00 0.65 2.62 0.96 0.99 0.00 16.79 1.08
time (sec) N/A 0.136 0.400 0.033 0.353 0.446 0.000 5.766 0.313




















Problem 371 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A A A F B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 66 66 46 119 55 54 0 920 53
normalized size 1 1.00 0.70 1.80 0.83 0.82 0.00 13.94 0.80
time (sec) N/A 0.068 0.143 0.032 0.345 0.436 0.000 1.992 0.205




















Problem 372 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 71 71 63 116 117 85 0 1118 -1
normalized size 1 1.00 0.89 1.63 1.65 1.20 0.00 15.75 -0.01
time (sec) N/A 0.281 0.148 0.040 0.406 0.457 0.000 0.323 0.000




















Problem 373 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 102 102 81 169 118 131 0 5381 -1
normalized size 1 1.00 0.79 1.66 1.16 1.28 0.00 52.75 -0.01
time (sec) N/A 0.276 0.532 0.043 0.421 0.446 0.000 10.367 0.000




















Problem 374 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) C F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 136 136 104 207 130 225 0 9416 -1
normalized size 1 1.00 0.76 1.52 0.96 1.65 0.00 69.24 -0.01
time (sec) N/A 0.374 0.989 0.041 0.430 0.460 0.000 10.030 0.000




















Problem 375 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A C A F(-1) F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 205 205 125 243 141 343 0 0 -1
normalized size 1 1.00 0.61 1.19 0.69 1.67 0.00 0.00 -0.00
time (sec) N/A 0.380 1.142 0.040 0.447 0.495 0.000 0.000 0.000




















Problem 376 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F(-1) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 255 255 459 849 602 925 0 0 -1
normalized size 1 1.00 1.80 3.33 2.36 3.63 0.00 0.00 -0.00
time (sec) N/A 0.347 1.537 0.121 0.543 0.558 0.000 0.000 0.000




















Problem 377 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B B C F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 172 172 223 481 409 562 0 0 -1
normalized size 1 1.00 1.30 2.80 2.38 3.27 0.00 0.00 -0.01
time (sec) N/A 0.229 1.096 0.204 0.491 0.541 0.000 0.000 0.000




















Problem 378 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A B F B F(-1) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 95 95 171 204 0 281 0 0 -1
normalized size 1 1.00 1.80 2.15 0.00 2.96 0.00 0.00 -0.01
time (sec) N/A 0.109 0.304 0.068 0.000 0.478 0.000 0.000 0.000




















Problem 379 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 72 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.210 6.230 0.280 0.000 0.435 0.000 0.000 0.000




















Problem 380 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 92 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.283 6.714 0.471 0.000 0.420 0.000 0.000 0.000




















Problem 381 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 115 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.328 7.140 0.753 0.000 0.438 0.000 0.000 0.000




















Problem 382 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 299 299 2482 956 607 1644 0 0 -1
normalized size 1 1.00 8.30 3.20 2.03 5.50 0.00 0.00 -0.00
time (sec) N/A 0.503 6.746 0.128 0.517 0.644 0.000 0.000 0.000




















Problem 383 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B B C F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 242 242 1719 639 442 1122 0 0 -1
normalized size 1 1.00 7.10 2.64 1.83 4.64 0.00 0.00 -0.00
time (sec) N/A 0.446 6.638 0.115 0.480 0.603 0.000 0.000 0.000




















Problem 384 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B A C F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 173 173 516 377 301 677 0 0 -1
normalized size 1 1.00 2.98 2.18 1.74 3.91 0.00 0.00 -0.01
time (sec) N/A 0.328 6.563 0.133 0.447 0.554 0.000 0.000 0.000




















Problem 385 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B A F B F(-1) F F
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 107 107 254 177 0 340 0 0 -1
normalized size 1 1.00 2.37 1.65 0.00 3.18 0.00 0.00 -0.01
time (sec) N/A 0.180 5.574 0.310 0.000 0.528 0.000 0.000 0.000




















Problem 386 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 80 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.299 3.226 0.305 0.000 0.436 0.000 0.000 0.000




















Problem 387 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-2) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 103 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.342 4.208 0.493 0.000 0.442 0.000 0.000 0.000




















Problem 388 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A A A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 129 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.398 6.019 0.643 0.000 0.443 0.000 0.000 0.000




















Problem 389 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B F C F(-2) F F(-1)
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 230 230 607 677 0 896 0 0 -1
normalized size 1 1.00 2.64 2.94 0.00 3.90 0.00 0.00 -0.00
time (sec) N/A 0.330 2.599 0.180 0.000 0.555 0.000 0.000 0.000




















Problem 390 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B F(-1) B F(-2) F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD TBD
size 147 147 364 328 0 513 0 0 -1
normalized size 1 1.00 2.48 2.23 0.00 3.49 0.00 0.00 -0.01
time (sec) N/A 0.212 3.829 0.073 0.000 0.535 0.000 0.000 0.000




















Problem 391 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A F(-2) B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 105 87 3330 93 0 2876 150
normalized size 1 1.00 1.84 1.53 58.42 1.63 0.00 50.46 2.63
time (sec) N/A 0.091 0.483 0.041 1.121 0.444 0.000 1.789 1.305




















Problem 392 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 78 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.266 13.726 0.338 0.000 0.454 0.000 0.000 0.000




















Problem 393 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 98 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.344 16.576 0.442 0.000 1.607 0.000 0.000 0.000




















Problem 394 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade N/A A A A F(-1) A F(-1) A A
verified N/A N/A N/A TBD TBD TBD TBD TBD TBD
size 121 0 0 0 0 0 0 0 -1
normalized size 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -0.01
time (sec) N/A 0.436 19.134 0.769 0.000 0.514 0.000 0.000 0.000




















Problem 395 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A F B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 57 57 77 66 0 106 0 0 46
normalized size 1 1.00 1.35 1.16 0.00 1.86 0.00 0.00 0.81
time (sec) N/A 0.067 0.031 0.059 0.000 1.227 0.000 0.000 2.214




















Problem 396 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A A A B A B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 14 14 14 15 111 26 144 118 31
normalized size 1 1.00 1.00 1.07 7.93 1.86 10.29 8.43 2.21
time (sec) N/A 0.033 0.020 0.056 0.418 0.564 5.739 1.553 2.347




















Problem 397 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac Mupad










grade A A B B F B F F B
verified N/A Yes Yes TBD TBD TBD TBD TBD TBD
size 67 67 146 102 0 144 0 0 63
normalized size 1 1.00 2.18 1.52 0.00 2.15 0.00 0.00 0.94
time (sec) N/A 0.137 0.281 0.209 0.000 2.067 0.000 0.000 2.317










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 [205] had the largest ratio of [1.250]

Table 2.1:Rubi 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 5 4 1.00 20 0.200







2 A 5 4 1.00 20 0.200







3 A 5 5 1.00 20 0.250







4 A 3 2 1.00 20 0.100







5 A 3 3 1.00 18 0.167







6 A 5 5 1.00 20 0.250







7 A 6 6 1.00 20 0.300







8 A 7 6 1.00 20 0.300







9 A 8 6 1.00 20 0.300







10 A 3 3 1.00 8 0.375







11 A 4 4 1.00 8 0.500







12 A 5 4 1.00 8 0.500







13 A 8 3 1.00 22 0.136







14 A 9 5 1.00 22 0.227







15 A 7 5 1.00 22 0.227







16 A 4 4 1.00 22 0.182







17 A 3 2 1.00 20 0.100







18 A 8 4 1.00 22 0.182







19 A 10 5 1.00 22 0.227







20 A 12 5 1.00 22 0.227







21 A 14 5 1.00 22 0.227







22 A 8 3 1.00 22 0.136







23 A 9 4 1.00 22 0.182







24 A 9 5 1.00 22 0.227







25 A 4 2 1.00 22 0.091







26 A 4 3 1.00 20 0.150







27 A 8 4 1.00 22 0.182







28 A 10 5 1.00 22 0.227







29 A 12 5 1.00 22 0.227







30 A 14 5 1.00 22 0.227







31 A 0 0 0.00 0 0.000







32 A 7 6 1.00 14 0.429







33 A 6 6 1.00 14 0.429







34 A 5 5 1.00 14 0.357







35 A 4 4 1.00 12 0.333







36 A 0 0 0.00 0 0.000







37 A 0 0 0.00 0 0.000







38 A 0 0 0.00 0 0.000







39 A 10 6 1.00 20 0.300







40 A 8 5 1.00 20 0.250







41 A 6 4 1.00 20 0.200







42 A 2 2 1.00 18 0.111







43 A 0 0 0.00 0 0.000







44 A 0 0 0.00 0 0.000







45 A 0 0 0.00 0 0.000







46 A 7 7 1.00 22 0.318







47 A 6 6 1.00 22 0.273







48 A 3 3 1.00 22 0.136







49 A 3 3 1.00 20 0.150







50 A 0 0 0.00 0 0.000







51 A 0 0 0.00 0 0.000







52 A 10 8 1.00 22 0.364







53 A 9 8 1.00 22 0.364







54 A 8 8 1.00 22 0.364







55 A 8 8 1.00 22 0.364







56 A 9 8 1.00 22 0.364







57 A 10 8 1.00 22 0.364







58 A 18 7 1.00 24 0.292







59 A 16 7 1.00 24 0.292







60 A 14 7 1.00 24 0.292







61 A 14 7 1.00 24 0.292







62 A 16 7 1.00 24 0.292







63 A 18 7 1.00 24 0.292







64 A 18 7 1.00 24 0.292







65 A 16 7 1.00 24 0.292







66 A 14 7 1.00 24 0.292







67 A 14 7 1.00 24 0.292







68 A 16 7 1.00 24 0.292







69 A 18 7 1.00 24 0.292







70 A 8 3 1.00 22 0.136







71 A 9 5 1.00 22 0.227







72 A 7 5 1.00 22 0.227







73 A 4 4 1.00 22 0.182







74 A 3 2 1.00 20 0.100







75 A 8 4 1.00 22 0.182







76 A 10 5 1.00 22 0.227







77 A 12 5 1.00 22 0.227







78 A 14 5 1.00 22 0.227







79 A 5 3 1.00 24 0.125







80 A 7 3 1.00 24 0.125







81 A 6 3 1.00 24 0.125







82 A 5 3 1.00 24 0.125







83 A 4 3 1.00 22 0.136







84 A 5 4 1.00 24 0.167







85 A 6 5 1.00 24 0.208







86 A 7 5 1.00 24 0.208







87 A 8 5 1.00 24 0.208







88 A 11 3 1.00 24 0.125







89 A 17 3 1.00 24 0.125







90 A 14 3 1.00 24 0.125







91 A 11 3 1.00 24 0.125







92 A 8 3 1.00 22 0.136







93 A 11 4 1.00 24 0.167







94 A 14 5 1.00 24 0.208







95 A 17 5 1.00 24 0.208







96 A 20 5 1.00 24 0.208







97 A 0 0 0.00 0 0.000







98 A 17 8 1.00 20 0.400







99 A 14 8 1.00 20 0.400







100 A 11 7 1.00 20 0.350







101 A 8 6 1.00 18 0.333







102 A 0 0 0.00 0 0.000







103 A 0 0 0.00 0 0.000







104 A 0 0 0.00 0 0.000







105 A 8 8 1.00 16 0.500







106 A 7 7 1.00 16 0.438







107 A 6 6 1.00 16 0.375







108 A 3 2 1.00 14 0.143







109 A 0 0 0.00 0 0.000







110 A 0 0 0.00 0 0.000







111 A 0 0 0.00 0 0.000







112 A 31 7 1.00 22 0.318







113 A 25 9 1.00 22 0.409







114 A 17 7 1.00 22 0.318







115 A 12 5 1.00 20 0.250







116 A 0 0 0.00 0 0.000







117 A 0 0 0.00 0 0.000







118 A 18 7 1.00 24 0.292







119 A 16 7 1.00 24 0.292







120 A 14 7 1.00 24 0.292







121 A 14 7 1.00 24 0.292







122 A 16 7 1.00 24 0.292







123 A 18 7 1.00 24 0.292







124 A 10 7 1.00 26 0.269







125 A 9 7 1.00 26 0.269







126 A 8 7 1.00 26 0.269







127 A 8 7 1.00 26 0.269







128 A 9 7 1.00 26 0.269







129 A 10 7 1.00 26 0.269







130 A 26 7 1.00 26 0.269







131 A 23 7 1.00 26 0.269







132 A 20 7 1.00 26 0.269







133 A 20 7 1.00 26 0.269







134 A 23 7 1.00 26 0.269







135 A 26 7 1.00 26 0.269







136 A 8 3 1.00 22 0.136







137 A 9 4 1.00 22 0.182







138 A 9 5 1.00 22 0.227







139 A 4 2 1.00 22 0.091







140 A 4 3 1.00 20 0.150







141 A 8 4 1.00 22 0.182







142 A 10 5 1.00 22 0.227







143 A 12 5 1.00 22 0.227







144 A 14 5 1.00 22 0.227







145 A 11 3 1.00 24 0.125







146 A 17 3 1.00 24 0.125







147 A 14 3 1.00 24 0.125







148 A 11 3 1.00 24 0.125







149 A 8 3 1.00 22 0.136







150 A 11 4 1.00 24 0.167







151 A 14 5 1.00 24 0.208







152 A 17 5 1.00 24 0.208







153 A 20 5 1.00 24 0.208







154 A 8 3 1.00 24 0.125







155 A 12 3 1.00 24 0.125







156 A 10 3 1.00 24 0.125







157 A 8 3 1.00 24 0.125







158 A 6 3 1.00 22 0.136







159 A 8 4 1.00 24 0.167







160 A 10 5 1.00 24 0.208







161 A 12 5 1.00 24 0.208







162 A 14 5 1.00 24 0.208







163 A 0 0 0.00 0 0.000







164 A 13 11 1.00 22 0.500







165 A 12 12 1.00 22 0.546







166 A 9 8 1.00 22 0.364







167 A 8 8 1.00 20 0.400







168 A 0 0 0.00 0 0.000







169 A 0 0 0.00 0 0.000







170 A 0 0 0.00 0 0.000







171 A 16 9 1.00 22 0.409







172 A 13 8 1.00 22 0.364







173 A 10 7 1.00 22 0.318







174 A 5 5 1.00 20 0.250







175 A 0 0 0.00 0 0.000







176 A 0 0 0.00 0 0.000







177 A 0 0 0.00 0 0.000







178 A 15 8 1.00 16 0.500







179 A 13 10 1.00 16 0.625







180 A 9 7 1.00 16 0.438







181 A 7 7 1.00 14 0.500







182 A 0 0 0.00 0 0.000







183 A 0 0 0.00 0 0.000







184 A 18 7 1.00 24 0.292







185 A 16 7 1.00 24 0.292







186 A 14 7 1.00 24 0.292







187 A 14 7 1.00 24 0.292







188 A 16 7 1.00 24 0.292







189 A 18 7 1.00 24 0.292







190 A 26 7 1.00 26 0.269







191 A 23 7 1.00 26 0.269







192 A 20 7 1.00 26 0.269







193 A 20 7 1.00 26 0.269







194 A 23 7 1.00 26 0.269







195 A 26 7 1.00 26 0.269







196 A 18 7 1.00 26 0.269







197 A 16 7 1.00 26 0.269







198 A 14 7 1.00 26 0.269







199 A 14 7 1.00 26 0.269







200 A 16 7 1.00 26 0.269







201 A 18 7 1.00 26 0.269







202 A 12 10 1.00 12 0.833







203 A 11 10 1.00 12 0.833







204 A 6 5 1.00 10 0.500







205 A 26 15 1.00 12 1.250







206 A 19 11 1.00 12 0.917







207 A 16 10 1.00 10 1.000







208 A 0 0 0.00 0 0.000







209 A 7 6 1.00 14 0.429







210 A 6 6 1.00 14 0.429







211 A 5 5 1.00 14 0.357







212 A 4 4 1.00 12 0.333







213 A 0 0 0.00 0 0.000







214 A 0 0 0.00 0 0.000







215 A 0 0 0.00 0 0.000







216 A 14 8 1.00 20 0.400







217 A 11 7 1.00 20 0.350







218 A 8 6 1.00 18 0.333







219 A 0 0 0.00 0 0.000







220 A 0 0 0.00 0 0.000







221 A 0 0 0.00 0 0.000







222 A 12 12 1.00 22 0.546







223 A 9 8 1.00 22 0.364







224 A 8 8 1.00 20 0.400







225 A 0 0 0.00 0 0.000







226 A 0 0 0.00 0 0.000







227 A 0 0 0.00 0 0.000







228 A 12 6 1.00 20 0.300







229 A 10 6 1.00 20 0.300







230 A 8 5 1.00 20 0.250







231 A 6 4 1.00 18 0.222







232 A 0 0 0.00 0 0.000







233 A 0 0 0.00 0 0.000







234 A 0 0 0.00 0 0.000







235 A 23 14 1.00 22 0.636







236 A 19 15 1.00 22 0.682







237 A 10 10 1.00 20 0.500







238 A 0 0 0.00 0 0.000







239 A 0 0 0.00 0 0.000







240 A 0 0 0.00 0 0.000







241 A 22 18 1.00 22 0.818







242 A 17 13 1.00 22 0.591







243 A 11 10 1.00 20 0.500







244 A 0 0 0.00 0 0.000







245 A 0 0 0.00 0 0.000







246 A 0 0 0.00 0 0.000







247 A 10 6 1.00 20 0.300







248 A 8 5 1.00 20 0.250







249 A 6 4 1.00 20 0.200







250 A 2 2 1.00 18 0.111







251 A 0 0 0.00 0 0.000







252 A 0 0 0.00 0 0.000







253 A 0 0 0.00 0 0.000







254 A 7 7 1.00 16 0.438







255 A 6 6 1.00 16 0.375







256 A 3 2 1.00 14 0.143







257 A 0 0 0.00 0 0.000







258 A 0 0 0.00 0 0.000







259 A 0 0 0.00 0 0.000







260 A 13 8 1.00 22 0.364







261 A 10 7 1.00 22 0.318







262 A 5 5 1.00 20 0.250







263 A 0 0 0.00 0 0.000







264 A 0 0 0.00 0 0.000







265 A 0 0 0.00 0 0.000







266 A 27 14 1.00 22 0.636







267 A 23 14 1.00 22 0.636







268 A 19 15 1.00 22 0.682







269 A 10 10 1.08 20 0.500







270 A 0 0 0.00 0 0.000







271 A 0 0 0.00 0 0.000







272 A 0 0 0.00 0 0.000







273 A 7 7 1.00 24 0.292







274 A 6 6 1.00 24 0.250







275 A 3 3 1.00 22 0.136







276 A 0 0 0.00 0 0.000







277 A 0 0 0.00 0 0.000







278 A 0 0 0.00 0 0.000







279 A 64 24 1.00 24 1.000







280 A 36 22 1.00 24 0.917







281 A 13 12 1.13 22 0.546







282 A 0 0 0.00 0 0.000







283 A 0 0 0.00 0 0.000







284 A 0 0 0.00 0 0.000







285 A 40 18 1.00 20 0.900







286 A 29 19 1.00 20 0.950







287 A 13 12 1.00 18 0.667







288 A 0 0 0.00 0 0.000







289 A 0 0 0.00 0 0.000







290 A 0 0 0.00 0 0.000







291 A 7 7 1.00 22 0.318







292 A 6 6 1.00 22 0.273







293 A 3 3 1.00 22 0.136







294 A 3 3 1.00 20 0.150







295 A 0 0 0.00 0 0.000







296 A 0 0 0.00 0 0.000







297 A 0 0 0.00 0 0.000







298 A 25 9 1.00 22 0.409







299 A 17 7 1.00 22 0.318







300 A 12 5 1.00 20 0.250







301 A 0 0 0.00 0 0.000







302 A 0 0 0.00 0 0.000







303 A 0 0 0.00 0 0.000







304 A 13 10 1.00 16 0.625







305 A 9 7 1.00 16 0.438







306 A 7 7 1.00 14 0.500







307 A 0 0 0.00 0 0.000







308 A 0 0 0.00 0 0.000







309 A 0 0 0.00 0 0.000







310 A 25 16 1.00 22 0.727







311 A 22 18 1.00 22 0.818







312 A 17 13 1.00 22 0.591







313 A 11 10 1.01 20 0.500







314 A 0 0 0.00 0 0.000







315 A 0 0 0.00 0 0.000







316 A 0 0 0.00 0 0.000







317 A 44 19 1.00 24 0.792







318 A 31 19 1.00 24 0.792







319 A 13 12 1.12 22 0.546







320 A 0 0 0.00 0 0.000







321 A 0 0 0.00 0 0.000







322 A 0 0 0.00 0 0.000







323 A 16 9 1.00 24 0.375







324 A 10 7 1.00 24 0.292







325 A 7 5 1.00 22 0.227







326 A 0 0 0.00 0 0.000







327 A 0 0 0.00 0 0.000







328 A 4 3 1.00 18 0.167







329 A 3 3 1.00 18 0.167







330 A 3 3 1.00 18 0.167







331 A 2 2 1.00 18 0.111







332 A 2 2 1.00 18 0.111







333 A 3 3 1.00 18 0.167







334 A 3 3 1.00 18 0.167







335 A 4 3 1.00 18 0.167







336 A 5 4 1.00 18 0.222







337 A 4 4 1.00 18 0.222







338 A 4 4 1.00 18 0.222







339 A 3 3 1.00 18 0.167







340 A 3 3 1.00 18 0.167







341 A 4 4 1.00 18 0.222







342 A 4 4 1.00 18 0.222







343 A 5 4 1.00 18 0.222







344 A 4 3 1.00 18 0.167







345 A 3 3 1.00 18 0.167







346 A 3 3 1.00 18 0.167







347 A 2 2 1.00 18 0.111







348 A 2 2 1.00 18 0.111







349 A 3 3 1.00 18 0.167







350 A 3 3 1.00 18 0.167







351 A 4 3 1.00 18 0.167







352 A 5 4 1.00 18 0.222







353 A 4 4 1.00 18 0.222







354 A 4 4 1.00 18 0.222







355 A 3 3 1.00 18 0.167







356 A 3 3 1.00 18 0.167







357 A 4 4 1.00 18 0.222







358 A 4 4 1.00 18 0.222







359 A 5 4 1.00 18 0.222







360 A 6 3 1.00 8 0.375







361 A 14 5 1.00 14 0.357







362 A 10 4 1.00 14 0.286







363 A 10 5 1.00 14 0.357







364 A 6 2 1.00 12 0.167







365 A 12 5 1.00 14 0.357







366 A 12 6 1.00 14 0.429







367 A 16 7 1.00 14 0.500







368 A 14 5 1.00 23 0.217







369 A 10 4 1.00 23 0.174







370 A 10 5 1.00 23 0.217







371 A 6 2 1.00 21 0.095







372 A 12 5 1.00 23 0.217







373 A 12 6 1.00 23 0.261







374 A 16 7 1.00 23 0.304







375 A 16 8 1.00 23 0.348







376 A 20 9 1.00 25 0.360







377 A 16 8 1.00 25 0.320







378 A 12 7 1.00 23 0.304







379 A 0 0 0.00 0 0.000







380 A 0 0 0.00 0 0.000







381 A 0 0 0.00 0 0.000







382 A 20 12 1.00 23 0.522







383 A 19 13 1.00 23 0.565







384 A 14 9 1.00 23 0.391







385 A 13 9 1.00 21 0.429







386 A 0 0 0.00 0 0.000







387 A 0 0 0.00 0 0.000







388 A 0 0 0.00 0 0.000







389 A 19 9 1.00 25 0.360







390 A 15 8 1.00 25 0.320







391 A 9 6 1.00 23 0.261







392 A 0 0 0.00 0 0.000







393 A 0 0 0.00 0 0.000







394 A 0 0 0.00 0 0.000







395 A 12 7 1.00 8 0.875







396 A 5 4 1.00 10 0.400







397 A 19 6 1.00 10 0.600