Chapter 2
detailed summary tables of results

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

2.1 List of integrals sorted by grade for each CAS

2.1.1 Rubi

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

B grade: { }

C grade: { }

F grade: { }

2.1.2 Mathematica

A grade: { 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 18, 19, 20, 22, 23, 24, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 44, 45, 46, 47, 49, 50, 51, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 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, 149, 150, 151, 152, 153, 154, 155, 156, 157, 159, 161, 163, 165, 166, 167, 168, 169, 170, 172, 173, 174, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 189, 191, 193, 195, 196, 197, 198, 199, 201, 203, 204, 205, 206, 207, 209, 211, 212, 214, 216, 219, 221, 222, 224, 226, 228, 230, 231, 232, 233, 234, 235, 236, 238, 240, 241, 242, 243, 244, 245, 246, 247, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 275, 276, 277, 278, 279, 281, 282, 283, 286, 287, 288, 289, 290, 291, 292, 293, 294, 296, 299, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 318, 319, 322, 323, 324, 325, 326, 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, 363, 364, 366, 367 }

B grade: { 1, 40, 42, 43, 48, 52, 53, 54, 55, 68, 92, 93, 94, 95, 115, 119, 158, 160, 162, 164, 171, 175, 194, 208, 210, 213, 215, 217, 218, 220, 223, 225, 227, 248, 274, 295, 297, 298, 300, 327, 362, 365 }

C grade: { 9, 13, 17, 21, 25, 29, 148, 188, 190, 192, 200, 202, 229, 237, 239, 259, 280, 284, 285, 316, 317, 320, 321, 368, 369 }

F grade: { }

2.1.3 Maple

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, 25, 26, 27, 28, 29, 30, 44, 45, 46, 47, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 74, 75, 76, 77, 78, 79, 80, 81, 83, 85, 86, 87, 88, 89, 90, 91, 92, 96, 97, 98, 99, 100, 101, 102, 108, 110, 111, 116, 117, 118, 119, 120, 121, 122, 130, 133, 134, 136, 137, 140, 141, 142, 145, 152, 156, 157, 163, 165, 176, 183, 186, 193, 194, 195, 203, 205, 207, 212, 213, 222, 223, 224, 228, 230, 231, 232, 236, 238, 240, 244, 245, 246, 247, 248, 249, 250, 251, 252, 254, 260, 264, 265, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 289, 290, 291, 292, 293, 294, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 314, 315, 318, 319, 322, 323, 324, 329, 330, 331, 336, 337, 338, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369 }

B grade: { 24, 40, 41, 42, 43, 48, 49, 50, 68, 72, 73, 82, 84, 93, 94, 95, 103, 104, 105, 106, 107, 109, 115, 126, 127, 128, 129, 131, 132, 135, 138, 139, 143, 144, 153, 154, 155, 158, 159, 160, 161, 162, 164, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 177, 178, 179, 180, 181, 182, 184, 185, 187, 188, 189, 190, 191, 192, 196, 197, 198, 199, 200, 201, 202, 204, 206, 208, 209, 210, 211, 214, 215, 216, 217, 218, 219, 220, 221, 225, 226, 227, 229, 233, 234, 235, 237, 239, 241, 242, 243, 253, 255, 256, 257, 258, 259, 295, 296, 297, 298, 299, 300 }

C grade: { 312, 313, 316, 317, 320, 321, 339 }

F grade: { 31, 32, 33, 34, 35, 36, 37, 38, 39, 64, 65, 66, 67, 69, 70, 71, 112, 113, 114, 123, 124, 125, 146, 147, 148, 149, 150, 151, 261, 262, 263, 266, 267, 268, 269, 270, 271, 272, 273, 285, 286, 287, 288, 325, 326, 327, 328, 332, 333, 334, 335 }

2.1.4 Maxima

A grade: { 1, 2, 4, 6, 40, 41, 43, 44, 48, 49, 50, 56, 60, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 115, 119, 136, 140, 141, 142, 143, 144, 145, 152, 153, 154, 155, 165, 171, 173, 175, 176, 181, 183, 184, 186, 193, 194, 196, 203, 204, 229, 231, 239, 247, 248, 260, 264, 265, 266, 267, 268, 269, 270, 272, 274, 275, 277, 301, 302, 303, 304, 305, 306, 308, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 329, 330, 331, 332, 333, 334, 337, 338, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367

B grade: { 3, 5, 42, 45, 46, 47, 51, 52, 53, 54, 55, 57, 58, 59, 61, 62, 63, 116, 117, 118, 120, 121, 122, 156, 157, 158, 159, 160, 161, 162, 163, 164, 166, 167, 168, 169, 170, 172, 174, 177, 178, 179, 180, 182, 185, 187, 189, 191, 198, 201, 206, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 232, 234, 237, 240, 242, 276, 278, 307, 309, 335 }

C grade: { 339 }

F grade: { 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, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 137, 138, 139, 146, 147, 148, 149, 150, 151, 188, 190, 192, 195, 197, 199, 200, 202, 205, 207, 228, 230, 233, 235, 236, 238, 241, 243, 244, 245, 246, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 261, 262, 263, 271, 273, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 325, 326, 327, 328, 336, 368, 369 }

2.1.5 FriCAS

A grade: { 1, 2, 3, 4, 6, 40, 41, 43, 51, 56, 57, 58, 59, 60, 61, 62, 63, 66, 67, 88, 89, 90, 92, 93, 96, 97, 98, 99, 100, 112, 113, 115, 116, 117, 118, 119, 120, 121, 122, 134, 136, 163, 167, 171, 173, 175, 176, 178, 194, 212, 231, 232, 247, 248, 260, 264, 265, 266, 267, 268, 269, 270, 271, 274, 275, 276, 277, 285, 286, 287, 288, 289, 290, 295, 298, 301, 303, 305, 311, 316, 320, 329, 330, 331, 332, 336, 337, 338, 339, 340, 341, 349, 366, 367 }

B grade: { 5, 42, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 55, 64, 65, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 91, 94, 95, 101, 102, 103, 104, 114, 123, 124, 125, 129, 130, 131, 132, 133, 135, 140, 141, 142, 143, 144, 145, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 164, 165, 166, 168, 169, 170, 172, 174, 177, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 249, 250, 251, 252, 253, 254, 255, 256, 259, 272, 273, 278, 291, 292, 293, 294, 296, 297, 299, 300, 302, 304, 306, 307, 308, 309, 310, 312, 313, 314, 315, 317, 318, 319, 321, 322, 323, 324, 333, 334, 335, 342, 343, 344, 345, 346, 347, 348, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 368, 369 }

C grade: { 257, 258 }

F grade: { 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, 105, 106, 107, 108, 109, 110, 111, 126, 127, 128, 137, 138, 139, 146, 147, 148, 149, 150, 151, 261, 262, 263, 279, 280, 281, 282, 283, 284, 325, 326, 327, 328 }

2.1.6 Sympy

A grade: { 1, 2, 3, 4, 5, 6, 40, 41, 42, 43, 48, 49, 50, 51, 56, 57, 58, 59, 60, 61, 62, 63, 75, 88, 89, 90, 91, 92, 93, 94, 96, 97, 98, 99, 100, 101, 115, 119, 129, 133, 134, 142, 165, 171, 173, 175, 181, 184, 185, 192, 193, 201, 203, 211, 224, 246, 247, 248, 253, 274, 276, 301, 302, 303, 304, 311, 315, 319, 323, 324, 331, 336, 366, 367 }

B grade: { 95, 158, 159, 160, 161, 162, 163, 164, 172, 174, 176, 182, 183, 186, 208, 209, 210, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 225, 226, 227, 310, 314, 318 }

C grade: { }

F grade: { 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, 44, 45, 46, 47, 52, 53, 54, 55, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118, 120, 121, 122, 123, 124, 125, 126, 127, 128, 130, 131, 132, 135, 136, 137, 138, 139, 140, 141, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 166, 167, 168, 169, 170, 177, 178, 179, 180, 187, 188, 189, 190, 191, 194, 195, 196, 197, 198, 199, 200, 202, 204, 205, 206, 207, 212, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 249, 250, 251, 252, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 275, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 305, 306, 307, 308, 309, 312, 313, 316, 317, 320, 321, 322, 325, 326, 327, 328, 329, 330, 332, 333, 334, 335, 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, 368, 369 }

2.1.7 Giac

A grade: { 3, 4, 5, 6, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 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, 101, 102, 103, 115, 116, 117, 118, 119, 120, 121, 122, 129, 130, 133, 134, 136, 152, 153, 154, 155, 156, 157, 167, 171, 173, 174, 175, 176, 178, 180, 181, 182, 183, 184, 185, 186, 187, 189, 190, 191, 192, 193, 194, 195, 197, 202, 203, 205, 210, 212, 220, 222, 226, 228, 230, 231, 232, 233, 236, 238, 241, 243, 246, 247, 248, 249, 250, 251, 252, 253, 254, 260, 264, 265, 266, 267, 276, 277, 278, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 313, 314, 315, 316, 317, 318, 319, 320, 321, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 340, 341, 342, 344, 345, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367 }

B grade: { 1, 2, 45, 100, 104, 131, 132, 135, 140, 141, 142, 143, 144, 145, 158, 159, 160, 161, 162, 163, 164, 165, 166, 168, 169, 170, 172, 177, 179, 188, 196, 198, 199, 200, 201, 204, 206, 207, 208, 209, 211, 213, 214, 215, 216, 217, 218, 219, 221, 223, 224, 225, 227, 229, 234, 235, 237, 239, 240, 242, 255, 256, 268, 269, 270, 271, 272, 273, 274, 275, 312 }

C grade: { 322, 323, 324, 339, 343, 346 }

F grade: { 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, 64, 65, 66, 67, 68, 69, 70, 71, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 123, 124, 125, 126, 127, 128, 137, 138, 139, 146, 147, 148, 149, 150, 151, 244, 245, 257, 258, 259, 261, 262, 263, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 325, 326, 327, 328, 368, 369 }

2.2 Detailed conclusion table per each integral for all CAS systems

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

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










Problem 1 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 21 11 14 23 12 35
normalized size 1 1. 2.1 1.1 1.4 2.3 1.2 3.5
time (sec) N/A 0.006 0.011 0.002 1.097 1.958 0.166 1.437


















Problem 2 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 23 27 43 59 46 65
normalized size 1 1. 0.92 1.08 1.72 2.36 1.84 2.6
time (sec) N/A 0.009 0.024 0.006 1.08 2.06 0.262 1.326


















Problem 3 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 29 23 73 105 36 65
normalized size 1 1. 1.07 0.85 2.7 3.89 1.33 2.41
time (sec) N/A 0.014 0.012 0.009 1.098 1.956 0.564 1.462


















Problem 4 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 33 39 81 134 95 92
normalized size 1 1. 0.72 0.85 1.76 2.91 2.07 2.
time (sec) N/A 0.021 0.04 0.039 1.113 2.228 1.217 1.42


















Problem 5 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 44 33 111 221 58 95
normalized size 1 1. 1.07 0.8 2.71 5.39 1.41 2.32
time (sec) N/A 0.017 0.014 0.039 1.106 2.22 2.349 1.362


















Problem 6 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 67 67 43 49 116 248 139 124
normalized size 1 1. 0.64 0.73 1.73 3.7 2.07 1.85
time (sec) N/A 0.033 0.038 0.037 1.043 1.994 4.711 1.412


















Problem 7 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 75 116 0 0 0 0
normalized size 1 1. 0.73 1.13 0. 0. 0. 0.
time (sec) N/A 0.049 0.14 0.074 0. 0. 0. 0.


















Problem 8 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 68 164 0 0 0 0
normalized size 1 1. 0.85 2.05 0. 0. 0. 0.
time (sec) N/A 0.032 0.073 0.039 0. 0. 0. 0.


















Problem 9 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 83 100 0 0 0 0
normalized size 1 1. 1.04 1.25 0. 0. 0. 0.
time (sec) N/A 0.032 0.087 0.042 0. 0. 0. 0.


















Problem 10 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 50 108 0 0 0 0
normalized size 1 1. 0.93 2. 0. 0. 0. 0.
time (sec) N/A 0.019 0.102 0.036 0. 0. 0. 0.


















Problem 11 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 48 87 0 0 0 0
normalized size 1 1. 0.89 1.61 0. 0. 0. 0.
time (sec) N/A 0.02 0.114 0.036 0. 0. 0. 0.


















Problem 12 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 57 154 0 0 0 0
normalized size 1 1. 0.75 2.03 0. 0. 0. 0.
time (sec) N/A 0.029 0.052 0.039 0. 0. 0. 0.


















Problem 13 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 86 101 0 0 0 0
normalized size 1 1. 1.08 1.26 0. 0. 0. 0.
time (sec) N/A 0.032 0.078 0.044 0. 0. 0. 0.


















Problem 14 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 73 192 0 0 0 0
normalized size 1 1. 0.71 1.86 0. 0. 0. 0.
time (sec) N/A 0.044 0.161 0.046 0. 0. 0. 0.


















Problem 15 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 116 116 76 122 0 0 0 0
normalized size 1 1. 0.66 1.05 0. 0. 0. 0.
time (sec) N/A 0.058 0.27 0.048 0. 0. 0. 0.


















Problem 16 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 68 170 0 0 0 0
normalized size 1 1. 0.77 1.93 0. 0. 0. 0.
time (sec) N/A 0.037 0.12 0.047 0. 0. 0. 0.


















Problem 17 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 88 106 0 0 0 0
normalized size 1 1. 1. 1.2 0. 0. 0. 0.
time (sec) N/A 0.037 0.125 0.04 0. 0. 0. 0.


















Problem 18 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 52 111 0 0 0 0
normalized size 1 1. 0.93 1.98 0. 0. 0. 0.
time (sec) N/A 0.022 0.045 0.043 0. 0. 0. 0.


















Problem 19 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 54 89 0 0 0 0
normalized size 1 1. 0.96 1.59 0. 0. 0. 0.
time (sec) N/A 0.022 0.034 0.034 0. 0. 0. 0.


















Problem 20 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 86 86 62 159 0 0 0 0
normalized size 1 1. 0.72 1.85 0. 0. 0. 0.
time (sec) N/A 0.038 0.062 0.046 0. 0. 0. 0.


















Problem 21 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 90 90 84 114 0 0 0 0
normalized size 1 1. 0.93 1.27 0. 0. 0. 0.
time (sec) N/A 0.038 0.095 0.043 0. 0. 0. 0.


















Problem 22 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 79 205 0 0 0 0
normalized size 1 1. 0.67 1.74 0. 0. 0. 0.
time (sec) N/A 0.056 0.163 0.049 0. 0. 0. 0.


















Problem 23 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 65 122 0 0 0 0
normalized size 1 1. 0.71 1.34 0. 0. 0. 0.
time (sec) N/A 0.034 0.164 0.048 0. 0. 0. 0.


















Problem 24 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 55 169 0 0 0 0
normalized size 1 1. 0.89 2.73 0. 0. 0. 0.
time (sec) N/A 0.02 0.059 0.05 0. 0. 0. 0.


















Problem 25 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 94 104 0 0 0 0
normalized size 1 1. 1.52 1.68 0. 0. 0. 0.
time (sec) N/A 0.021 0.135 0.048 0. 0. 0. 0.


















Problem 26 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 28 91 0 0 0 0
normalized size 1 1. 0.93 3.03 0. 0. 0. 0.
time (sec) N/A 0.009 0.02 0.045 0. 0. 0. 0.


















Problem 27 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 28 68 0 0 0 0
normalized size 1 1. 0.93 2.27 0. 0. 0. 0.
time (sec) N/A 0.009 0.023 0.038 0. 0. 0. 0.


















Problem 28 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 50 159 0 0 0 0
normalized size 1 1. 0.86 2.74 0. 0. 0. 0.
time (sec) N/A 0.019 0.094 0.052 0. 0. 0. 0.


















Problem 29 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 83 113 0 0 0 0
normalized size 1 1. 1.34 1.82 0. 0. 0. 0.
time (sec) N/A 0.02 0.059 0.048 0. 0. 0. 0.


















Problem 30 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 80 204 0 0 0 0
normalized size 1 1. 0.88 2.24 0. 0. 0. 0.
time (sec) N/A 0.033 0.13 0.054 0. 0. 0. 0.


















Problem 31 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 57 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.053 0.024 0. 0. 0. 0.


















Problem 32 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 57 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.036 0.073 0. 0. 0. 0.


















Problem 33 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 57 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.034 0.059 0. 0. 0. 0.


















Problem 34 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 57 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.04 0.046 0. 0. 0. 0.


















Problem 35 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.038 0.04 0. 0. 0. 0.


















Problem 36 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.037 0.023 0. 0. 0. 0.


















Problem 37 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 70 70 65 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.019 0.045 0.18 0. 0. 0. 0.


















Problem 38 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 67 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.015 0.04 0.143 0. 0. 0. 0.


















Problem 39 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 67 0 0 0 0 0
normalized size 1 1. 0.93 0. 0. 0. 0. 0.
time (sec) N/A 0.016 0.04 0.143 0. 0. 0. 0.


















Problem 40 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 134 138 80 192 58 68
normalized size 1 1. 2.91 3. 1.74 4.17 1.26 1.48
time (sec) N/A 0.065 0.183 0.039 1.261 2.084 0.422 1.363


















Problem 41 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 41 93 61 153 41 51
normalized size 1 1. 1.14 2.58 1.69 4.25 1.14 1.42
time (sec) N/A 0.046 0.106 0.034 1.164 2.036 0.31 1.391


















Problem 42 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 22 22 79 52 45 103 20 35
normalized size 1 1. 3.59 2.36 2.05 4.68 0.91 1.59
time (sec) N/A 0.059 0.106 0.031 1.102 2.015 0.212 1.315


















Problem 43 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 43 29 16 42 8 14
normalized size 1 1. 3.07 2.07 1.14 3. 0.57 1.
time (sec) N/A 0.027 0.054 0.023 1.154 2.077 0.157 1.298


















Problem 44 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 30 21 39 97 0 32
normalized size 1 1. 1.58 1.11 2.05 5.11 0. 1.68
time (sec) N/A 0.039 0.019 0.028 1.19 2.12 0. 1.414


















Problem 45 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 36 35 72 208 0 59
normalized size 1 1. 1.57 1.52 3.13 9.04 0. 2.57
time (sec) N/A 0.058 0.039 0.028 1.235 2.102 0. 1.502


















Problem 46 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 49 53 107 385 0 69
normalized size 1 1. 1.32 1.43 2.89 10.41 0. 1.86
time (sec) N/A 0.073 0.177 0.031 1.13 2.168 0. 1.298


















Problem 47 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 53 71 142 545 0 78
normalized size 1 1. 1.13 1.51 3.02 11.6 0. 1.66
time (sec) N/A 0.073 0.216 0.035 1.183 2.059 0. 1.259


















Problem 48 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 147 116 96 275 68 68
normalized size 1 1. 2.53 2. 1.66 4.74 1.17 1.17
time (sec) N/A 0.102 0.185 0.055 1.235 2.035 0.531 1.383


















Problem 49 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 45 75 80 217 53 51
normalized size 1 1. 1.02 1.7 1.82 4.93 1.2 1.16
time (sec) N/A 0.129 0.12 0.05 1.314 2.06 0.401 1.384


















Problem 50 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 55 52 54 150 39 30
normalized size 1 1. 1.72 1.62 1.69 4.69 1.22 0.94
time (sec) N/A 0.061 0.141 0.045 1.218 2.074 0.304 1.323


















Problem 51 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 22 25 109 95 36 27
normalized size 1 1. 0.71 0.81 3.52 3.06 1.16 0.87
time (sec) N/A 0.03 0.009 0.033 1.216 1.985 0.262 1.308


















Problem 52 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 91 44 74 240 0 46
normalized size 1 1. 2.68 1.29 2.18 7.06 0. 1.35
time (sec) N/A 0.083 0.087 0.039 1.226 2.092 0. 1.365


















Problem 53 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 88 58 109 404 0 62
normalized size 1 1. 2.1 1.38 2.6 9.62 0. 1.48
time (sec) N/A 0.117 0.355 0.043 1.239 2.042 0. 1.321


















Problem 54 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 131 76 142 578 0 80
normalized size 1 1. 2.26 1.31 2.45 9.97 0. 1.38
time (sec) N/A 0.14 0.311 0.047 1.233 2.11 0. 1.366


















Problem 55 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 64 64 143 92 174 730 0 113
normalized size 1 1. 2.23 1.44 2.72 11.41 0. 1.77
time (sec) N/A 0.131 1.529 0.046 1.279 2.11 0. 1.361


















Problem 56 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 42 20 27 36 19 20
normalized size 1 1. 1.56 0.74 1. 1.33 0.7 0.74
time (sec) N/A 0.011 0.061 0.017 1.185 1.961 0.273 1.359


















Problem 57 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 61 55 127 128 63 34
normalized size 1 1. 1.03 0.93 2.15 2.17 1.07 0.58
time (sec) N/A 0.026 0.1 0.035 1.146 1.993 0.965 1.331


















Problem 58 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 81 88 285 235 114 49
normalized size 1 1. 0.92 1. 3.24 2.67 1.3 0.56
time (sec) N/A 0.042 0.12 0.046 1.062 1.981 2.867 1.371


















Problem 59 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 87 121 502 338 156 63
normalized size 1 1. 0.74 1.03 4.29 2.89 1.33 0.54
time (sec) N/A 0.06 0.164 0.049 1.186 2.072 6.287 1.434


















Problem 60 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 42 20 27 38 20 20
normalized size 1 1. 1.56 0.74 1. 1.41 0.74 0.74
time (sec) N/A 0.012 0.064 0.02 1.15 1.948 0.263 1.366


















Problem 61 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 59 55 127 128 63 34
normalized size 1 1. 1. 0.93 2.15 2.17 1.07 0.58
time (sec) N/A 0.027 0.071 0.033 1.103 1.939 0.935 1.367


















Problem 62 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 81 88 285 234 114 49
normalized size 1 1. 0.92 1. 3.24 2.66 1.3 0.56
time (sec) N/A 0.042 0.119 0.039 1.069 2.018 2.827 1.391


















Problem 63 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 117 117 87 121 502 338 156 63
normalized size 1 1. 0.74 1.03 4.29 2.89 1.33 0.54
time (sec) N/A 0.06 0.15 0.043 1.164 1.964 6.256 1.39


















Problem 64 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 75 0 0 501 0 0
normalized size 1 1. 1.32 0. 0. 8.79 0. 0.
time (sec) N/A 0.056 0.074 0.355 0. 2.13 0. 0.


















Problem 65 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 76 0 0 506 0 0
normalized size 1 1. 1.33 0. 0. 8.88 0. 0.
time (sec) N/A 0.056 0.077 0.304 0. 2.105 0. 0.


















Problem 66 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 104 104 145 0 0 360 0 0
normalized size 1 1. 1.39 0. 0. 3.46 0. 0.
time (sec) N/A 0.053 0.453 0.14 0. 1.984 0. 0.


















Problem 67 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 113 0 0 259 0 0
normalized size 1 1. 1.64 0. 0. 3.75 0. 0.
time (sec) N/A 0.031 0.206 0.119 0. 1.984 0. 0.


















Problem 68 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 74 89 0 170 0 0
normalized size 1 1. 2.39 2.87 0. 5.48 0. 0.
time (sec) N/A 0.014 0.041 0.125 0. 2.007 0. 0.


















Problem 69 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 84 0 0 518 0 0
normalized size 1 1. 1.62 0. 0. 9.96 0. 0.
time (sec) N/A 0.024 0.085 0.506 0. 2.113 0. 0.


















Problem 70 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 156 0 0 1044 0 0
normalized size 1 1. 1.79 0. 0. 12. 0. 0.
time (sec) N/A 0.045 0.226 0.118 0. 2.193 0. 0.


















Problem 71 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 210 0 0 1395 0 0
normalized size 1 1. 1.72 0. 0. 11.43 0. 0.
time (sec) N/A 0.068 0.196 0.118 0. 2.219 0. 0.


















Problem 72 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 105 262 0 1947 0 211
normalized size 1 1. 0.97 2.43 0. 18.03 0. 1.95
time (sec) N/A 0.315 0.431 0.027 0. 2.221 0. 1.347


















Problem 73 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 82 82 82 174 0 1142 0 158
normalized size 1 1. 1. 2.12 0. 13.93 0. 1.93
time (sec) N/A 0.185 0.136 0.026 0. 2.093 0. 1.4


















Problem 74 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 61 92 0 640 0 116
normalized size 1 1. 1.07 1.61 0. 11.23 0. 2.04
time (sec) N/A 0.116 0.093 0.022 0. 2.149 0. 1.484


















Problem 75 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 52 63 0 367 296 90
normalized size 1 1. 1.11 1.34 0. 7.81 6.3 1.91
time (sec) N/A 0.061 0.05 0.015 0. 2.03 96.174 1.37


















Problem 76 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 58 49 0 456 0 111
normalized size 1 1. 1.16 0.98 0. 9.12 0. 2.22
time (sec) N/A 0.076 0.049 0.022 0. 2.231 0. 1.383


















Problem 77 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 81 73 0 926 0 132
normalized size 1 1. 1.37 1.24 0. 15.69 0. 2.24
time (sec) N/A 0.121 0.402 0.027 0. 2.408 0. 1.388


















Problem 78 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 118 108 0 2288 0 185
normalized size 1 1. 1.46 1.33 0. 28.25 0. 2.28
time (sec) N/A 0.318 0.538 0.03 0. 2.96 0. 1.419


















Problem 79 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 109 109 186 158 0 3970 0 231
normalized size 1 1. 1.71 1.45 0. 36.42 0. 2.12
time (sec) N/A 0.491 0.934 0.031 0. 3.069 0. 1.448


















Problem 80 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 118 296 0 4020 0 317
normalized size 1 1. 0.73 1.83 0. 24.81 0. 1.96
time (sec) N/A 0.405 0.407 0.048 0. 2.785 0. 1.422


















Problem 81 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 95 213 0 2426 0 248
normalized size 1 1. 0.83 1.85 0. 21.1 0. 2.16
time (sec) N/A 0.238 0.352 0.04 0. 2.489 0. 1.354


















Problem 82 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 86 175 0 1245 0 177
normalized size 1 1. 1.04 2.11 0. 15. 0. 2.13
time (sec) N/A 0.134 0.178 0.033 0. 2.245 0. 1.452


















Problem 83 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 68 97 0 855 0 134
normalized size 1 1. 1.13 1.62 0. 14.25 0. 2.23
time (sec) N/A 0.074 0.101 0.02 0. 2.086 0. 1.392


















Problem 84 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 91 166 0 1632 0 192
normalized size 1 1. 1.07 1.95 0. 19.2 0. 2.26
time (sec) N/A 0.216 0.181 0.039 0. 3.46 0. 1.483


















Problem 85 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 118 193 0 4055 0 277
normalized size 1 1. 1.03 1.68 0. 35.26 0. 2.41
time (sec) N/A 0.372 0.649 0.047 0. 3.558 0. 1.402


















Problem 86 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 158 158 156 227 0 8699 0 274
normalized size 1 1. 0.99 1.44 0. 55.06 0. 1.73
time (sec) N/A 0.675 0.71 0.052 0. 5.241 0. 1.585


















Problem 87 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 198 198 214 277 0 14660 0 319
normalized size 1 1. 1.08 1.4 0. 74.04 0. 1.61
time (sec) N/A 0.884 0.956 0.052 0. 5.533 0. 1.859


















Problem 88 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 81 42 26 104 34 45
normalized size 1 1. 1.11 0.58 0.36 1.42 0.47 0.62
time (sec) N/A 0.028 0.034 0.023 1.685 2.563 0.614 1.682


















Problem 89 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 102 102 142 82 107 323 87 96
normalized size 1 1. 1.39 0.8 1.05 3.17 0.85 0.94
time (sec) N/A 0.051 0.246 0.043 1.6 2.183 1.174 1.607


















Problem 90 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 204 124 167 625 156 126
normalized size 1 1. 1.56 0.95 1.27 4.77 1.19 0.96
time (sec) N/A 0.085 0.485 0.051 1.677 2.193 2.557 1.307


















Problem 91 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 160 160 265 164 225 972 223 155
normalized size 1 1. 1.66 1.02 1.41 6.08 1.39 0.97
time (sec) N/A 0.126 0.58 0.053 1.689 2.212 5.194 1.292


















Problem 92 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 171 44 49 80 31 42
normalized size 1 1. 4.62 1.19 1.32 2.16 0.84 1.14
time (sec) N/A 0.013 0.034 0.023 1.761 2.026 0.599 1.245


















Problem 93 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 183 134 86 298 88 93
normalized size 1 1. 2.77 2.03 1.3 4.52 1.33 1.41
time (sec) N/A 0.035 0.228 0.043 1.782 2.086 1.117 1.246


















Problem 94 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 95 95 277 224 146 594 158 123
normalized size 1 1. 2.92 2.36 1.54 6.25 1.66 1.29
time (sec) N/A 0.067 0.648 0.05 1.601 2.103 2.603 1.272


















Problem 95 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 308 314 205 946 219 153
normalized size 1 1. 2.48 2.53 1.65 7.63 1.77 1.23
time (sec) N/A 0.102 1.768 0.052 1.713 2.173 5.23 1.293


















Problem 96 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 138 155 367 548 314 366
normalized size 1 1. 0.75 0.85 2.01 2.99 1.72 2.
time (sec) N/A 0.273 0.658 0.023 1.1 1.998 3.094 1.27


















Problem 97 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 137 137 108 119 246 358 240 261
normalized size 1 1. 0.79 0.87 1.8 2.61 1.75 1.91
time (sec) N/A 0.156 0.394 0.016 1.107 2.06 1.481 1.181


















Problem 98 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 92 92 71 77 155 225 128 173
normalized size 1 1. 0.77 0.84 1.68 2.45 1.39 1.88
time (sec) N/A 0.073 0.175 0.017 1.027 1.942 0.753 1.322


















Problem 99 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 48 51 74 112 78 99
normalized size 1 1. 0.92 0.98 1.42 2.15 1.5 1.9
time (sec) N/A 0.017 0.081 0.012 1.096 1.999 0.345 1.254


















Problem 100 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 26 16 20 39 17 42
normalized size 1 1. 1.73 1.07 1.33 2.6 1.13 2.8
time (sec) N/A 0.01 0.009 0.003 1.038 2. 0.167 1.242


















Problem 101 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 44 44 52 43 0 424 189 90
normalized size 1 1. 1.18 0.98 0. 9.64 4.3 2.05
time (sec) N/A 0.036 0.036 0.015 0. 1.995 20.61 1.192


















Problem 102 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 85 118 0 1041 0 180
normalized size 1 1. 1.08 1.49 0. 13.18 0. 2.28
time (sec) N/A 0.063 0.259 0.034 0. 2.106 0. 1.353


















Problem 103 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 127 127 117 280 0 3005 0 319
normalized size 1 1. 0.92 2.2 0. 23.66 0. 2.51
time (sec) N/A 0.122 0.272 0.049 0. 2.659 0. 1.311


















Problem 104 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 174 174 159 494 0 6620 0 491
normalized size 1 1. 0.91 2.84 0. 38.05 0. 2.82
time (sec) N/A 0.22 0.692 0.056 0. 2.751 0. 1.242


















Problem 105 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 179 179 178 917 0 0 0 0
normalized size 1 1. 0.99 5.12 0. 0. 0. 0.
time (sec) N/A 0.258 0.413 0.155 0. 0. 0. 0.


















Problem 106 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 150 150 139 676 0 0 0 0
normalized size 1 1. 0.93 4.51 0. 0. 0. 0.
time (sec) N/A 0.166 0.378 0.079 0. 0. 0. 0.


















Problem 107 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 65 262 0 0 0 0
normalized size 1 1. 1.08 4.37 0. 0. 0. 0.
time (sec) N/A 0.037 0.187 0.078 0. 0. 0. 0.


















Problem 108 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 60 125 0 0 0 0
normalized size 1 1. 1. 2.08 0. 0. 0. 0.
time (sec) N/A 0.037 0.186 0.075 0. 0. 0. 0.


















Problem 109 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 81 456 0 0 0 0
normalized size 1 1. 0.86 4.85 0. 0. 0. 0.
time (sec) N/A 0.06 0.15 0.095 0. 0. 0. 0.


















Problem 110 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 197 197 166 438 0 0 0 0
normalized size 1 1. 0.84 2.22 0. 0. 0. 0.
time (sec) N/A 0.212 0.618 0.147 0. 0. 0. 0.


















Problem 111 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 101 218 0 0 0 0
normalized size 1 1. 0.79 1.7 0. 0. 0. 0.
time (sec) N/A 0.114 0.352 0.079 0. 0. 0. 0.


















Problem 112 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 112 112 100 0 0 414 0 0
normalized size 1 1. 0.89 0. 0. 3.7 0. 0.
time (sec) N/A 0.1 0.349 0.121 0. 1.818 0. 0.


















Problem 113 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 83 0 0 294 0 0
normalized size 1 1. 1.02 0. 0. 3.63 0. 0.
time (sec) N/A 0.081 0.215 0.108 0. 1.765 0. 0.


















Problem 114 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 66 0 0 189 0 0
normalized size 1 1. 1.38 0. 0. 3.94 0. 0.
time (sec) N/A 0.054 0.074 0.108 0. 1.728 0. 0.


















Problem 115 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 53 46 35 58 15 23
normalized size 1 1. 2.3 2. 1.52 2.52 0.65 1.
time (sec) N/A 0.038 0.233 0.03 1.263 1.803 0.217 1.318


















Problem 116 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 32 52 190 119 0 43
normalized size 1 1. 0.74 1.21 4.42 2.77 0. 1.
time (sec) N/A 0.042 0.03 0.024 1.167 1.706 0. 1.263


















Problem 117 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 50 91 378 209 0 62
normalized size 1 1. 0.74 1.34 5.56 3.07 0. 0.91
time (sec) N/A 0.054 0.037 0.029 1.278 1.623 0. 1.208


















Problem 118 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 91 91 67 128 632 305 0 81
normalized size 1 1. 0.74 1.41 6.95 3.35 0. 0.89
time (sec) N/A 0.068 0.049 0.03 1.309 1.836 0. 1.141


















Problem 119 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 59 46 36 59 15 24
normalized size 1 1. 2.19 1.7 1.33 2.19 0.56 0.89
time (sec) N/A 0.043 0.075 0.03 1.197 1.72 0.21 1.291


















Problem 120 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 32 52 190 119 0 43
normalized size 1 1. 0.65 1.06 3.88 2.43 0. 0.88
time (sec) N/A 0.044 0.028 0.024 1.308 1.801 0. 1.292


















Problem 121 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 92 91 379 208 0 62
normalized size 1 1. 1.21 1.2 4.99 2.74 0. 0.82
time (sec) N/A 0.059 0.215 0.035 1.269 1.733 0. 1.338


















Problem 122 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 63 128 632 304 0 81
normalized size 1 1. 0.62 1.27 6.26 3.01 0. 0.8
time (sec) N/A 0.07 0.049 0.033 1.503 1.723 0. 1.286


















Problem 123 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 85 0 0 738 0 0
normalized size 1 1. 1.29 0. 0. 11.18 0. 0.
time (sec) N/A 0.066 0.119 0.11 0. 1.806 0. 0.


















Problem 124 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 105 0 0 936 0 0
normalized size 1 1. 1.33 0. 0. 11.85 0. 0.
time (sec) N/A 0.077 0.23 0.088 0. 1.931 0. 0.


















Problem 125 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 184 0 0 1218 0 0
normalized size 1 1. 1.67 0. 0. 11.07 0. 0.
time (sec) N/A 0.1 0.212 0.092 0. 1.947 0. 0.


















Problem 126 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 259 259 241 1893 0 0 0 0
normalized size 1 1. 0.93 7.31 0. 0. 0. 0.
time (sec) N/A 0.446 0.771 0.108 0. 0. 0. 0.


















Problem 127 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 207 207 196 1037 0 0 0 0
normalized size 1 1. 0.95 5.01 0. 0. 0. 0.
time (sec) N/A 0.311 0.55 0.157 0. 0. 0. 0.


















Problem 128 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 164 164 151 897 0 0 0 0
normalized size 1 1. 0.92 5.47 0. 0. 0. 0.
time (sec) N/A 0.212 0.401 0.093 0. 0. 0. 0.


















Problem 129 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 55 55 61 101 0 387 469 101
normalized size 1 1. 1.11 1.84 0. 7.04 8.53 1.84
time (sec) N/A 0.075 0.102 0.02 0. 1.879 97.36 1.229


















Problem 130 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 82 113 0 1065 0 161
normalized size 1 1. 1.11 1.53 0. 14.39 0. 2.18
time (sec) N/A 0.083 0.153 0.026 0. 1.886 0. 1.369


















Problem 131 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 131 314 0 3617 0 377
normalized size 1 1. 1.02 2.45 0. 28.26 0. 2.95
time (sec) N/A 0.175 0.27 0.036 0. 2.035 0. 1.275


















Problem 132 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 187 187 189 633 0 8690 0 644
normalized size 1 1. 1.01 3.39 0. 46.47 0. 3.44
time (sec) N/A 0.325 0.461 0.041 0. 2.334 0. 1.297


















Problem 133 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 66 105 0 398 350 111
normalized size 1 1. 1.1 1.75 0. 6.63 5.83 1.85
time (sec) N/A 0.084 0.069 0.02 0. 1.784 103.155 1.265


















Problem 134 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 6 6 6 7 0 9 3 8
normalized size 1 1. 1. 1.17 0. 1.5 0.5 1.33
time (sec) N/A 0.001 0. 0.002 0. 1.72 0.438 1.163


















Problem 135 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 12 36 0 158 0 41
normalized size 1 1. 1. 3. 0. 13.17 0. 3.42
time (sec) N/A 0.032 0.035 0.029 0. 1.633 0. 1.233


















Problem 136 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 28 37 46 139 0 45
normalized size 1 1. 0.82 1.09 1.35 4.09 0. 1.32
time (sec) N/A 0.037 0.086 0.016 1.567 1.753 0. 1.206


















Problem 137 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 109 266 0 0 0 0
normalized size 1 1. 0.8 1.96 0. 0. 0. 0.
time (sec) N/A 0.12 0.503 0.092 0. 0. 0. 0.


















Problem 138 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 176 176 159 517 0 0 0 0
normalized size 1 1. 0.9 2.94 0. 0. 0. 0.
time (sec) N/A 0.227 0.618 0.163 0. 0. 0. 0.


















Problem 139 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 251 251 236 806 0 0 0 0
normalized size 1 1. 0.94 3.21 0. 0. 0. 0.
time (sec) N/A 0.335 0.777 0.239 0. 0. 0. 0.


















Problem 140 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 53 53 36 32 72 1462 0 162
normalized size 1 1. 0.68 0.6 1.36 27.58 0. 3.06
time (sec) N/A 0.037 0.041 0.045 1.815 1.785 0. 1.313


















Problem 141 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 26 24 47 672 0 95
normalized size 1 1. 0.76 0.71 1.38 19.76 0. 2.79
time (sec) N/A 0.024 0.036 0.035 1.818 1.799 0. 1.186


















Problem 142 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 15 23 216 19 46
normalized size 1 1. 1. 1.15 1.77 16.62 1.46 3.54
time (sec) N/A 0.013 0.005 0.03 1.829 1.743 0.61 1.199


















Problem 143 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 17 17 20 49 32 312 0 61
normalized size 1 1. 1.18 2.88 1.88 18.35 0. 3.59
time (sec) N/A 0.013 0.006 0.053 1.809 1.714 0. 1.262


















Problem 144 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 44 71 84 927 0 127
normalized size 1 1. 1.05 1.69 2. 22.07 0. 3.02
time (sec) N/A 0.026 0.038 0.05 1.755 1.811 0. 1.338


















Problem 145 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 61 61 67 89 130 2514 0 149
normalized size 1 1. 1.1 1.46 2.13 41.21 0. 2.44
time (sec) N/A 0.037 0.1 0.053 1.827 1.963 0. 1.364


















Problem 146 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 67 0 0 0 0 0
normalized size 1 1. 0.5 0. 0. 0. 0. 0.
time (sec) N/A 0.061 0.183 0.076 0. 0. 0. 0.


















Problem 147 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 57 0 0 0 0 0
normalized size 1 1. 0.69 0. 0. 0. 0. 0.
time (sec) N/A 0.044 0.064 0.06 0. 0. 0. 0.


















Problem 148 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 60 0 0 0 0 0
normalized size 1 1. 0.97 0. 0. 0. 0. 0.
time (sec) N/A 0.033 0.083 0.065 0. 0. 0. 0.


















Problem 149 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 42 0 0 0 0 0
normalized size 1 1. 0.7 0. 0. 0. 0. 0.
time (sec) N/A 0.03 0.03 0.065 0. 0. 0. 0.


















Problem 150 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 53 0 0 0 0 0
normalized size 1 1. 0.61 0. 0. 0. 0. 0.
time (sec) N/A 0.042 0.082 0.062 0. 0. 0. 0.


















Problem 151 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 69 0 0 0 0 0
normalized size 1 1. 0.51 0. 0. 0. 0. 0.
time (sec) N/A 0.061 0.196 0.06 0. 0. 0. 0.


















Problem 152 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 53 177 135 4963 0 154
normalized size 1 1. 0.4 1.34 1.02 37.6 0. 1.17
time (sec) N/A 0.049 0.159 0.115 1.737 2.053 0. 1.273


















Problem 153 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 78 78 38 131 85 2068 0 68
normalized size 1 1. 0.49 1.68 1.09 26.51 0. 0.87
time (sec) N/A 0.032 0.091 0.091 1.776 1.845 0. 1.209


















Problem 154 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 24 90 36 551 0 35
normalized size 1 1. 0.67 2.5 1. 15.31 0. 0.97
time (sec) N/A 0.015 0.038 0.095 1.873 1.79 0. 1.226


















Problem 155 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 16 56 24 338 0 18
normalized size 1 1. 1. 3.5 1.5 21.12 0. 1.12
time (sec) N/A 0.014 0.006 0.083 1.785 1.68 0. 1.316


















Problem 156 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 34 80 231 3163 0 47
normalized size 1 1. 0.5 1.18 3.4 46.51 0. 0.69
time (sec) N/A 0.022 0.038 0.086 1.94 2.04 0. 1.272


















Problem 157 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 118 118 47 96 630 9072 0 72
normalized size 1 1. 0.4 0.81 5.34 76.88 0. 0.61
time (sec) N/A 0.033 0.058 0.086 2.016 2.564 0. 1.392


















Problem 158 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 50 50 219 292 122 301 124 116
normalized size 1 1. 4.38 5.84 2.44 6.02 2.48 2.32
time (sec) N/A 0.055 0.151 0.066 1.354 1.891 0.73 1.2


















Problem 159 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 42 142 101 240 100 96
normalized size 1 1. 0.98 3.3 2.35 5.58 2.33 2.23
time (sec) N/A 0.045 0.03 0.057 1.242 1.858 0.597 1.184


















Problem 160 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 131 210 89 213 82 84
normalized size 1 1. 3.45 5.53 2.34 5.61 2.16 2.21
time (sec) N/A 0.047 0.24 0.052 1.301 1.751 0.481 1.292


















Problem 161 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 33 33 28 94 69 151 63 63
normalized size 1 1. 0.85 2.85 2.09 4.58 1.91 1.91
time (sec) N/A 0.039 0.02 0.043 1.111 1.809 0.371 1.224


















Problem 162 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 93 126 57 128 48 51
normalized size 1 1. 3.58 4.85 2.19 4.92 1.85 1.96
time (sec) N/A 0.041 0.149 0.036 1.246 1.848 0.28 1.339


















Problem 163 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 12 13 36 70 27 31
normalized size 1 1. 0.8 0.87 2.4 4.67 1.8 2.07
time (sec) N/A 0.034 0.01 0.014 1.07 1.782 0.208 1.23


















Problem 164 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 8 8 34 40 19 53 14 19
normalized size 1 1. 4.25 5. 2.38 6.62 1.75 2.38
time (sec) N/A 0.031 0.046 0.028 1.256 1.698 0.145 1.233


















Problem 165 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 7 7 7 7 7 28 8 15
normalized size 1 1. 1. 1. 1. 4. 1.14 2.14
time (sec) N/A 0.018 0.005 0.008 1.185 1.823 0.147 1.325


















Problem 166 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 18 43 55 158 0 69
normalized size 1 1. 0.75 1.79 2.29 6.58 0. 2.88
time (sec) N/A 0.035 0.021 0.029 1.199 1.782 0. 1.292


















Problem 167 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 22 49 72 76 0 39
normalized size 1 1. 0.88 1.96 2.88 3.04 0. 1.56
time (sec) N/A 0.041 0.032 0.028 1.103 1.639 0. 1.272


















Problem 168 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 61 91 124 451 0 124
normalized size 1 1. 1.17 1.75 2.38 8.67 0. 2.38
time (sec) N/A 0.053 0.041 0.036 1.186 1.759 0. 1.328


















Problem 169 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 35 93 277 197 0 72
normalized size 1 1. 0.95 2.51 7.49 5.32 0. 1.95
time (sec) N/A 0.044 0.064 0.04 1.211 1.781 0. 1.27


















Problem 170 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 94 137 189 801 0 159
normalized size 1 1. 1.18 1.71 2.36 10.01 0. 1.99
time (sec) N/A 0.067 0.067 0.042 1.183 2.141 0. 1.267


















Problem 171 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 121 166 73 177 65 68
normalized size 1 1. 3.02 4.15 1.82 4.42 1.62 1.7
time (sec) N/A 0.074 0.179 0.054 1.128 2.08 0.442 1.263


















Problem 172 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 18 70 53 107 44 47
normalized size 1 1. 1.29 5. 3.79 7.64 3.14 3.36
time (sec) N/A 0.034 0.019 0.047 1.214 1.977 0.316 1.218


















Problem 173 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 46 82 41 92 29 35
normalized size 1 1. 1.53 2.73 1.37 3.07 0.97 1.17
time (sec) N/A 0.068 0.072 0.042 1.125 1.834 0.264 1.313


















Problem 174 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 14 53 31 82 26 28
normalized size 1 1. 1. 3.79 2.21 5.86 1.86 2.
time (sec) N/A 0.038 0.012 0.042 1.234 1.922 9.34 1.32


















Problem 175 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 14 14 69 29 16 42 8 14
normalized size 1 1. 4.93 2.07 1.14 3. 0.57 1.
time (sec) N/A 0.034 0.054 0.04 1.215 1.735 0.184 1.276


















Problem 176 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 10 10 10 10 11 43 19 14
normalized size 1 1. 1. 1. 1.1 4.3 1.9 1.4
time (sec) N/A 0.02 0.01 0.013 1.227 1.736 0.212 1.292


















Problem 177 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 34 34 26 70 95 298 0 95
normalized size 1 1. 0.76 2.06 2.79 8.76 0. 2.79
time (sec) N/A 0.039 0.043 0.04 1.128 1.849 0. 1.271


















Problem 178 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 31 70 158 132 0 55
normalized size 1 1. 0.84 1.89 4.27 3.57 0. 1.49
time (sec) N/A 0.071 0.022 0.039 1.317 1.736 0. 1.235


















Problem 179 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 68 116 162 625 0 142
normalized size 1 1. 1.13 1.93 2.7 10.42 0. 2.37
time (sec) N/A 0.055 0.044 0.05 1.303 1.857 0. 1.326


















Problem 180 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 47 116 428 259 0 88
normalized size 1 1. 0.96 2.37 8.73 5.29 0. 1.8
time (sec) N/A 0.078 0.036 0.052 1.162 1.763 0. 1.266


















Problem 181 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 45 56 45 142 31 36
normalized size 1 1. 1.61 2. 1.61 5.07 1.11 1.29
time (sec) N/A 0.044 0.086 0.053 1.198 1.746 27.575 1.245


















Problem 182 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 40 36 72 84 32 22
normalized size 1 1. 2. 1.8 3.6 4.2 1.6 1.1
time (sec) N/A 0.033 0.064 0.047 1.111 1.701 0.33 1.253


















Problem 183 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 14 13 14 86 37 16
normalized size 1 1. 0.88 0.81 0.88 5.38 2.31 1.
time (sec) N/A 0.021 0.026 0.015 1.182 1.683 0.388 1.253


















Problem 184 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 45 56 45 142 31 36
normalized size 1 1. 1.73 2.15 1.73 5.46 1.19 1.38
time (sec) N/A 0.04 0.086 0.055 1.137 1.891 27.517 1.22


















Problem 185 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 38 36 72 82 32 22
normalized size 1 1. 1.9 1.8 3.6 4.1 1.6 1.1
time (sec) N/A 0.033 0.062 0.043 1.194 1.746 0.332 1.263


















Problem 186 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 16 16 14 13 14 85 36 16
normalized size 1 1. 0.88 0.81 0.88 5.31 2.25 1.
time (sec) N/A 0.022 0.027 0.017 1.217 1.751 0.386 1.214


















Problem 187 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 138 138 121 837 416 5296 0 343
normalized size 1 1. 0.88 6.07 3.01 38.38 0. 2.49
time (sec) N/A 0.138 0.157 0.046 1.206 2.053 0. 1.258


















Problem 188 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 145 145 857 674 0 3822 0 389
normalized size 1 1. 5.91 4.65 0. 26.36 0. 2.68
time (sec) N/A 0.414 5.779 0.037 0. 1.926 0. 1.23


















Problem 189 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 76 447 243 2228 0 188
normalized size 1 1. 0.94 5.52 3. 27.51 0. 2.32
time (sec) N/A 0.091 0.088 0.033 1.251 1.921 0. 1.249


















Problem 190 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 97 97 651 336 0 1523 0 227
normalized size 1 1. 6.71 3.46 0. 15.7 0. 2.34
time (sec) N/A 0.241 3.499 0.032 0. 1.933 0. 1.242


















Problem 191 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 38 38 38 185 109 629 0 82
normalized size 1 1. 1. 4.87 2.87 16.55 0. 2.16
time (sec) N/A 0.061 0.035 0.028 1.294 1.808 0. 1.159


















Problem 192 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 429 126 0 504 398 112
normalized size 1 1. 7.94 2.33 0. 9.33 7.37 2.07
time (sec) N/A 0.109 1.03 0.024 0. 1.742 177.406 1.267


















Problem 193 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 12 15 72 14 30
normalized size 1 1. 1. 1.09 1.36 6.55 1.27 2.73
time (sec) N/A 0.025 0.005 0.01 1.067 2.026 0.425 1.263


















Problem 194 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 99 71 89 177 0 120
normalized size 1 1. 2.06 1.48 1.85 3.69 0. 2.5
time (sec) N/A 0.06 0.095 0.021 1.843 2.153 0. 1.241


















Problem 195 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 67 71 0 693 0 117
normalized size 1 1. 1.14 1.2 0. 11.75 0. 1.98
time (sec) N/A 0.079 0.167 0.026 0. 2.057 0. 1.324


















Problem 196 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 87 87 77 353 215 1724 0 289
normalized size 1 1. 0.89 4.06 2.47 19.82 0. 3.32
time (sec) N/A 0.122 0.124 0.033 1.842 2.311 0. 1.247


















Problem 197 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 100 100 102 182 0 2807 0 243
normalized size 1 1. 1.02 1.82 0. 28.07 0. 2.43
time (sec) N/A 0.213 0.333 0.034 0. 2.227 0. 1.361


















Problem 198 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 135 1140 466 6700 0 498
normalized size 1 1. 1. 8.44 3.45 49.63 0. 3.69
time (sec) N/A 0.197 0.226 0.043 1.865 2.854 0. 1.238


















Problem 199 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 146 146 146 350 0 7626 0 436
normalized size 1 1. 1. 2.4 0. 52.23 0. 2.99
time (sec) N/A 0.417 0.445 0.048 0. 2.393 0. 1.283


















Problem 200 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 94 94 2901 290 0 2184 0 240
normalized size 1 1. 30.86 3.09 0. 23.23 0. 2.55
time (sec) N/A 0.22 6.278 0.058 0. 2.148 0. 1.259


















Problem 201 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 40 40 37 141 138 999 209 111
normalized size 1 1. 0.92 3.52 3.45 24.98 5.22 2.78
time (sec) N/A 0.06 0.07 0.052 1.107 2.168 2.022 1.215


















Problem 202 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 62 62 659 119 0 933 0 131
normalized size 1 1. 10.63 1.92 0. 15.05 0. 2.11
time (sec) N/A 0.111 3.401 0.043 0. 2.101 0. 1.148


















Problem 203 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 13 13 13 14 18 149 32 30
normalized size 1 1. 1. 1.08 1.38 11.46 2.46 2.31
time (sec) N/A 0.025 0.013 0.019 1.209 1.959 1.015 1.122


















Problem 204 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 79 79 121 201 201 963 0 251
normalized size 1 1. 1.53 2.54 2.54 12.19 0. 3.18
time (sec) N/A 0.103 0.443 0.046 1.748 2.228 0. 1.132


















Problem 205 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 93 93 94 138 0 1916 0 225
normalized size 1 1. 1.01 1.48 0. 20.6 0. 2.42
time (sec) N/A 0.17 0.242 0.041 0. 2.158 0. 1.152


















Problem 206 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 136 136 260 548 506 6197 0 398
normalized size 1 1. 1.91 4.03 3.72 45.57 0. 2.93
time (sec) N/A 0.165 2.442 0.069 1.879 2.83 0. 1.176


















Problem 207 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 137 266 0 7135 0 387
normalized size 1 1. 0.95 1.85 0. 49.55 0. 2.69
time (sec) N/A 0.31 0.43 0.072 0. 2.457 0. 1.17


















Problem 208 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 96 93 558 271 116 72
normalized size 1 1. 3.1 3. 18. 8.74 3.74 2.32
time (sec) N/A 0.079 0.135 0.07 1.126 2.079 1.301 1.155


















Problem 209 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 42 79 128 455 97 124
normalized size 1 1. 1.17 2.19 3.56 12.64 2.69 3.44
time (sec) N/A 0.092 0.077 0.059 1.033 2.088 0.806 1.138


















Problem 210 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 67 47 147 111 48 39
normalized size 1 1. 2.91 2.04 6.39 4.83 2.09 1.7
time (sec) N/A 0.076 0.059 0.045 1.117 2.033 0.379 1.122


















Problem 211 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 20 45 57 157 32 72
normalized size 1 1. 0.77 1.73 2.19 6.04 1.23 2.77
time (sec) N/A 0.055 0.02 0.032 1.168 2.133 0.27 1.089


















Problem 212 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 17 38 54 0 31
normalized size 1 1. 1. 0.89 2. 2.84 0. 1.63
time (sec) N/A 0.032 0.008 0.022 1.037 2.05 0. 1.112


















Problem 213 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 12 12 32 23 36 108 22 32
normalized size 1 1. 2.67 1.92 3. 9. 1.83 2.67
time (sec) N/A 0.044 0.035 0.026 1.073 2.013 0.217 1.128


















Problem 214 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 15 15 15 34 90 84 32 32
normalized size 1 1. 1. 2.27 6. 5.6 2.13 2.13
time (sec) N/A 0.059 0.011 0.038 1.046 1.982 0.256 1.149


















Problem 215 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 100 59 82 263 58 59
normalized size 1 1. 3.85 2.27 3.15 10.12 2.23 2.27
time (sec) N/A 0.078 0.037 0.046 1.052 2.013 0.479 1.153


















Problem 216 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 33 68 277 176 71 69
normalized size 1 1. 1.43 2.96 12.04 7.65 3.09 3.
time (sec) N/A 0.077 0.01 0.066 1.069 1.973 0.754 1.134


















Problem 217 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 164 93 123 437 104 84
normalized size 1 1. 4.56 2.58 3.42 12.14 2.89 2.33
time (sec) N/A 0.097 0.04 0.07 1.089 2.138 1.377 1.126


















Problem 218 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 112 116 774 351 139 88
normalized size 1 1. 2.38 2.47 16.47 7.47 2.96 1.87
time (sec) N/A 0.123 0.146 0.093 1.113 2.003 2.533 1.164


















Problem 219 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 52 114 155 621 129 138
normalized size 1 1. 0.79 1.73 2.35 9.41 1.95 2.09
time (sec) N/A 0.065 0.1 0.078 1.119 2.028 1.588 1.184


















Problem 220 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 84 70 266 171 71 55
normalized size 1 1. 2.27 1.89 7.19 4.62 1.92 1.49
time (sec) N/A 0.118 0.092 0.059 1.088 2.013 0.823 1.133


















Problem 221 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 29 66 82 284 60 89
normalized size 1 1. 0.81 1.83 2.28 7.89 1.67 2.47
time (sec) N/A 0.037 0.03 0.051 1.071 2.06 0.486 1.131


















Problem 222 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 25 23 65 162 36 45
normalized size 1 1. 1. 0.92 2.6 6.48 1.44 1.8
time (sec) N/A 0.04 0.027 0.033 1.118 2.052 0.513 1.121


















Problem 223 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 66 35 73 232 49 63
normalized size 1 1. 2.54 1.35 2.81 8.92 1.88 2.42
time (sec) N/A 0.068 0.138 0.045 1.13 2.088 0.471 1.153


















Problem 224 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 29 29 29 51 86 207 53 72
normalized size 1 1. 1. 1.76 2.97 7.14 1.83 2.48
time (sec) N/A 0.048 0.016 0.06 1.142 2.062 0.688 1.121


















Problem 225 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 28 28 107 58 90 302 66 68
normalized size 1 1. 3.82 2.07 3.21 10.79 2.36 2.43
time (sec) N/A 0.094 0.054 0.051 1.03 2.033 0.55 1.141


















Problem 226 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 27 68 231 166 66 51
normalized size 1 1. 1. 2.52 8.56 6.15 2.44 1.89
time (sec) N/A 0.043 0.012 0.067 1.022 1.958 0.748 1.103


















Problem 227 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B B B B B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 175 74 139 527 117 100
normalized size 1 1. 3.65 1.54 2.9 10.98 2.44 2.08
time (sec) N/A 0.091 0.058 0.073 1.069 2.113 1.521 1.145


















Problem 228 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 124 124 108 163 0 2944 0 266
normalized size 1 1. 0.87 1.31 0. 23.74 0. 2.15
time (sec) N/A 0.184 0.352 0.039 0. 2.246 0. 1.195


















Problem 229 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 153 357 216 1725 0 285
normalized size 1 1. 1.74 4.06 2.45 19.6 0. 3.24
time (sec) N/A 0.175 0.175 0.036 1.573 2.268 0. 1.137


















Problem 230 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 69 69 69 84 0 691 0 117
normalized size 1 1. 1. 1.22 0. 10.01 0. 1.7
time (sec) N/A 0.091 0.188 0.029 0. 2.054 0. 1.198


















Problem 231 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 48 48 36 84 89 177 0 120
normalized size 1 1. 0.75 1.75 1.85 3.69 0. 2.5
time (sec) N/A 0.069 0.058 0.024 1.533 2.12 0. 1.132


















Problem 232 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 20 20 20 21 62 116 0 53
normalized size 1 1. 1. 1.05 3.1 5.8 0. 2.65
time (sec) N/A 0.041 0.01 0.02 1.06 2.027 0. 1.128


















Problem 233 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 82 107 0 705 0 128
normalized size 1 1. 1.46 1.91 0. 12.59 0. 2.29
time (sec) N/A 0.235 0.176 0.026 0. 2.23 0. 1.143


















Problem 234 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 52 52 45 120 157 1165 0 169
normalized size 1 1. 0.87 2.31 3.02 22.4 0. 3.25
time (sec) N/A 0.095 0.061 0.034 1.024 2.174 0. 1.142


















Problem 235 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 108 108 176 232 0 3380 0 262
normalized size 1 1. 1.63 2.15 0. 31.3 0. 2.43
time (sec) N/A 0.413 0.423 0.036 0. 3.47 0. 1.133


















Problem 236 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 224 224 144 262 0 8182 0 394
normalized size 1 1. 0.64 1.17 0. 36.53 0. 1.76
time (sec) N/A 0.435 0.39 0.062 0. 2.728 0. 1.224


















Problem 237 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 135 135 150 491 506 6589 0 414
normalized size 1 1. 1.11 3.64 3.75 48.81 0. 3.07
time (sec) N/A 0.356 0.662 0.062 1.594 2.792 0. 1.175


















Problem 238 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 144 144 100 142 0 2144 0 244
normalized size 1 1. 0.69 0.99 0. 14.89 0. 1.69
time (sec) N/A 0.249 0.265 0.05 0. 2.148 0. 1.184


















Problem 239 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 146 248 209 1029 0 269
normalized size 1 1. 1.72 2.92 2.46 12.11 0. 3.16
time (sec) N/A 0.103 0.225 0.042 1.571 2.199 0. 1.171


















Problem 240 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 27 33 101 477 0 101
normalized size 1 1. 0.84 1.03 3.16 14.91 0. 3.16
time (sec) N/A 0.053 0.047 0.033 1.026 2.127 0. 1.134


















Problem 241 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 102 170 0 3102 0 200
normalized size 1 1. 1.27 2.12 0. 38.78 0. 2.5
time (sec) N/A 0.402 0.478 0.041 0. 2.748 0. 1.186


















Problem 242 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B B B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 76 76 73 184 273 3726 0 257
normalized size 1 1. 0.96 2.42 3.59 49.03 0. 3.38
time (sec) N/A 0.11 0.197 0.056 1.051 2.292 0. 1.153


















Problem 243 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 159 159 214 357 0 9129 0 327
normalized size 1 1. 1.35 2.25 0. 57.42 0. 2.06
time (sec) N/A 0.671 0.818 0.056 0. 3.028 0. 1.205


















Problem 244 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 37 37 37 30 0 1071 0 0
normalized size 1 1. 1. 0.81 0. 28.95 0. 0.
time (sec) N/A 0.062 0.022 0.014 0. 4.919 0. 0.


















Problem 245 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 24 24 24 19 0 1099 0 0
normalized size 1 1. 1. 0.79 0. 45.79 0. 0.
time (sec) N/A 0.059 0.013 0.016 0. 2.583 0. 0.


















Problem 246 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 51 51 59 88 0 458 695 117
normalized size 1 1. 1.16 1.73 0. 8.98 13.63 2.29
time (sec) N/A 0.135 0.076 0.025 0. 2.093 99.557 1.134


















Problem 247 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 25 25 48 46 26 90 20 30
normalized size 1 1. 1.92 1.84 1.04 3.6 0.8 1.2
time (sec) N/A 0.083 0.066 0.032 1.035 2.047 1.311 1.136


















Problem 248 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 27 27 81 44 27 89 20 28
normalized size 1 1. 3. 1.63 1. 3.3 0.74 1.04
time (sec) N/A 0.087 0.088 0.037 1.055 2.082 0.366 1.141


















Problem 249 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 132 150 0 510 0 166
normalized size 1 1. 1.48 1.69 0. 5.73 0. 1.87
time (sec) N/A 0.177 0.355 0.032 0. 15.237 0. 1.178


















Problem 250 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 60 60 65 73 0 502 0 138
normalized size 1 1. 1.08 1.22 0. 8.37 0. 2.3
time (sec) N/A 0.15 0.159 0.033 0. 2.236 0. 1.173


















Problem 251 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 89 89 93 150 0 510 0 166
normalized size 1 1. 1.04 1.69 0. 5.73 0. 1.87
time (sec) N/A 0.252 0.249 0.032 0. 26.196 0. 1.168


















Problem 252 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 67 86 0 482 0 122
normalized size 1 1. 1.16 1.48 0. 8.31 0. 2.1
time (sec) N/A 0.157 0.116 0.03 0. 5.065 0. 1.172


















Problem 253 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 85 213 0 616 1358 181
normalized size 1 1. 1.05 2.63 0. 7.6 16.77 2.23
time (sec) N/A 0.169 0.284 0.056 0. 2.131 130.497 1.193


















Problem 254 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 113 151 0 1339 0 262
normalized size 1 1. 1. 1.34 0. 11.85 0. 2.32
time (sec) N/A 0.169 0.525 0.092 0. 2.165 0. 1.182


















Problem 255 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 180 180 170 416 0 4178 0 586
normalized size 1 1. 0.94 2.31 0. 23.21 0. 3.26
time (sec) N/A 0.27 0.679 0.116 0. 2.31 0. 1.174


















Problem 256 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 235 844 0 9709 0 988
normalized size 1 1. 0.94 3.38 0. 38.84 0. 3.95
time (sec) N/A 0.44 1.539 0.134 0. 2.649 0. 1.205


















Problem 257 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 439 439 319 919 0 3956 0 0
normalized size 1 1. 0.73 2.09 0. 9.01 0. 0.
time (sec) N/A 0.73 0.838 0.059 0. 2.466 0. 0.


















Problem 258 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F C F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 327 327 240 710 0 2967 0 0
normalized size 1 1. 0.73 2.17 0. 9.07 0. 0.
time (sec) N/A 0.538 0.694 0.049 0. 2.372 0. 0.


















Problem 259 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C B F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 215 215 576 505 0 1968 0 0
normalized size 1 1. 2.68 2.35 0. 9.15 0. 0.
time (sec) N/A 0.329 0.772 0.047 0. 2.253 0. 0.


















Problem 260 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 47 47 41 47 57 204 0 57
normalized size 1 1. 0.87 1. 1.21 4.34 0. 1.21
time (sec) N/A 0.456 0.104 0.103 1.308 2.009 0. 1.125


















Problem 261 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 55 0 0 0 0 0
normalized size 1 1. 0.95 0. 0. 0. 0. 0.
time (sec) N/A 0.112 0.079 0.109 0. 0. 0. 0.


















Problem 262 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 57 0 0 0 0 0
normalized size 1 1. 0.98 0. 0. 0. 0. 0.
time (sec) N/A 0.081 0.035 0.079 0. 0. 0. 0.


















Problem 263 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 0 0 0 0 0
normalized size 1 1. 1. 0. 0. 0. 0. 0.
time (sec) N/A 0.038 0.031 0.024 0. 0. 0. 0.


















Problem 264 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 39 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.037 11.438 0.042 0. 0. 0. 0.


















Problem 265 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade N/A A A A A A F(-1) A
verified N/A N/A N/A TBD TBD TBD TBD TBD
size 41 0 0 0 0 0 0 0
normalized size 1 0. 0. 0. 0. 0. 0. 0.
time (sec) N/A 0.08 36.221 0.039 0. 0. 0. 0.


















Problem 266 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 41 0 70 123 0 63
normalized size 1 1. 0.76 0. 1.3 2.28 0. 1.17
time (sec) N/A 0.011 0.059 0.03 1.119 2.043 0. 1.132


















Problem 267 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-2) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 88 88 55 0 90 258 0 228
normalized size 1 1. 0.62 0. 1.02 2.93 0. 2.59
time (sec) N/A 0.021 0.101 0.095 1.161 2.026 0. 1.207


















Problem 268 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 149 149 120 0 154 532 0 898
normalized size 1 1. 0.81 0. 1.03 3.57 0. 6.03
time (sec) N/A 0.041 0.502 0.108 1.213 2.147 0. 1.275


















Problem 269 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 191 191 167 0 174 801 0 1049
normalized size 1 1. 0.87 0. 0.91 4.19 0. 5.49
time (sec) N/A 0.051 0.418 0.131 1.258 2.134 0. 1.28


















Problem 270 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 54 0 86 304 0 317
normalized size 1 1. 0.74 0. 1.18 4.16 0. 4.34
time (sec) N/A 0.024 0.133 0.033 1.118 2.087 0. 1.193


















Problem 271 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) A F(-2) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 120 120 89 0 0 726 0 1023
normalized size 1 1. 0.74 0. 0. 6.05 0. 8.52
time (sec) N/A 0.048 0.28 0.109 0. 2.187 0. 1.276


















Problem 272 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 203 197 292 0 186 1542 0 4354
normalized size 1 0.97 1.44 0. 0.92 7.6 0. 21.45
time (sec) N/A 0.086 1.327 0.132 1.23 2.168 0. 1.441


















Problem 273 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F(-2) B F(-1) B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 266 260 311 0 0 2880 0 9293
normalized size 1 0.98 1.17 0. 0. 10.83 0. 34.94
time (sec) N/A 0.128 3.442 0.147 0. 2.313 0. 1.742


















Problem 274 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A A A B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 18 18 37 19 24 53 37 54
normalized size 1 1. 2.06 1.06 1.33 2.94 2.06 3.
time (sec) N/A 0.017 0.014 0.006 1.024 2.041 1.722 1.109


















Problem 275 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 36 52 66 123 0 109
normalized size 1 1. 0.92 1.33 1.69 3.15 0. 2.79
time (sec) N/A 0.029 0.027 0.01 1.048 2.066 0. 1.214


















Problem 276 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 45 36 116 208 82 109
normalized size 1 1. 1.05 0.84 2.7 4.84 1.91 2.53
time (sec) N/A 0.035 0.014 0.007 1.036 2.097 37.068 1.188


















Problem 277 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 73 73 51 84 126 270 0 154
normalized size 1 1. 0.7 1.15 1.73 3.7 0. 2.11
time (sec) N/A 0.047 0.047 0.012 1.142 2.083 0. 1.184


















Problem 278 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 68 51 176 421 0 155
normalized size 1 1. 1.05 0.78 2.71 6.48 0. 2.38
time (sec) N/A 0.042 0.019 0.012 1.102 2.118 0. 1.211


















Problem 279 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 96 227 0 0 0 0
normalized size 1 1. 0.86 2.05 0. 0. 0. 0.
time (sec) N/A 0.065 0.088 0.054 0. 0. 0. 0.


















Problem 280 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 114 143 0 0 0 0
normalized size 1 1. 1.03 1.29 0. 0. 0. 0.
time (sec) N/A 0.06 0.13 0.055 0. 0. 0. 0.


















Problem 281 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 68 146 0 0 0 0
normalized size 1 1. 0.94 2.03 0. 0. 0. 0.
time (sec) N/A 0.044 0.042 0.046 0. 0. 0. 0.


















Problem 282 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 72 72 66 120 0 0 0 0
normalized size 1 1. 0.92 1.67 0. 0. 0. 0.
time (sec) N/A 0.044 0.044 0.042 0. 0. 0. 0.


















Problem 283 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 80 212 0 0 0 0
normalized size 1 1. 0.75 1.98 0. 0. 0. 0.
time (sec) N/A 0.057 0.062 0.013 0. 0. 0. 0.


















Problem 284 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F F F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 111 111 122 144 0 0 0 0
normalized size 1 1. 1.1 1.3 0. 0. 0. 0.
time (sec) N/A 0.061 0.127 0.055 0. 0. 0. 0.


















Problem 285 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C F F A F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 209 209 86 0 0 420 0 0
normalized size 1 1. 0.41 0. 0. 2.01 0. 0.
time (sec) N/A 0.16 0.418 0.362 0. 2.18 0. 0.


















Problem 286 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F F(-1)
verified N/A Yes NO TBD TBD TBD TBD TBD
size 103 103 74 0 0 306 0 0
normalized size 1 1. 0.72 0. 0. 2.97 0. 0.
time (sec) N/A 0.087 0.269 0.155 0. 2.158 0. 0.


















Problem 287 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 43 43 61 0 0 167 0 0
normalized size 1 1. 1.42 0. 0. 3.88 0. 0.
time (sec) N/A 0.053 0.147 0.16 0. 2.432 0. 0.


















Problem 288 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 103 103 121 0 0 312 0 0
normalized size 1 1. 1.17 0. 0. 3.03 0. 0.
time (sec) N/A 0.079 0.26 0.163 0. 2.301 0. 0.


















Problem 289 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 36 36 36 38 0 109 0 0
normalized size 1 1. 1. 1.06 0. 3.03 0. 0.
time (sec) N/A 0.047 0.02 0.009 0. 2.187 0. 0.


















Problem 290 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 39 39 37 50 0 165 0 0
normalized size 1 1. 0.95 1.28 0. 4.23 0. 0.
time (sec) N/A 0.064 0.04 0.016 0. 2.044 0. 0.


















Problem 291 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 59 59 54 74 0 269 0 0
normalized size 1 1. 0.92 1.25 0. 4.56 0. 0.
time (sec) N/A 0.085 0.057 0.013 0. 2.133 0. 0.


















Problem 292 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 70 113 0 532 0 0
normalized size 1 1. 0.95 1.53 0. 7.19 0. 0.
time (sec) N/A 0.13 0.283 0.032 0. 1.98 0. 0.


















Problem 293 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 80 80 85 120 0 589 0 0
normalized size 1 1. 1.06 1.5 0. 7.36 0. 0.
time (sec) N/A 0.146 0.359 0.087 0. 2.117 0. 0.


















Problem 294 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 143 143 172 228 0 1524 0 0
normalized size 1 1. 1.2 1.59 0. 10.66 0. 0.
time (sec) N/A 0.246 0.459 0.088 0. 2.18 0. 0.


















Problem 295 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 373 347 0 344 0 0
normalized size 1 1. 3.69 3.44 0. 3.41 0. 0.
time (sec) N/A 0.179 0.706 0.028 0. 2.042 0. 0.


















Problem 296 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 107 107 112 358 0 775 0 0
normalized size 1 1. 1.05 3.35 0. 7.24 0. 0.
time (sec) N/A 0.182 0.849 0.086 0. 2.066 0. 0.


















Problem 297 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 194 194 599 700 0 1536 0 0
normalized size 1 1. 3.09 3.61 0. 7.92 0. 0.
time (sec) N/A 0.328 1.356 0.084 0. 2.145 0. 0.


















Problem 298 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F A F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 121 121 449 459 0 417 0 0
normalized size 1 1. 3.71 3.79 0. 3.45 0. 0.
time (sec) N/A 0.259 1.432 0.043 0. 2.043 0. 0.


















Problem 299 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A B F B F(-1) F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 129 129 136 468 0 1018 0 0
normalized size 1 1. 1.05 3.63 0. 7.89 0. 0.
time (sec) N/A 0.279 2. 0.097 0. 2.317 0. 0.


















Problem 300 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B B F B F(-1) F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 226 226 671 922 0 2047 0 0
normalized size 1 1. 2.97 4.08 0. 9.06 0. 0.
time (sec) N/A 0.476 6.181 0.105 0. 2.55 0. 0.


















Problem 301 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 83 83 62 77 92 325 139 81
normalized size 1 1. 0.75 0.93 1.11 3.92 1.67 0.98
time (sec) N/A 0.04 0.041 0.008 1.18 2.213 104.606 1.147


















Problem 302 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 57 57 45 67 72 259 187 77
normalized size 1 1. 0.79 1.18 1.26 4.54 3.28 1.35
time (sec) N/A 0.038 0.034 0.006 1.114 2.053 27.031 1.138


















Problem 303 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 49 49 39 49 54 154 78 46
normalized size 1 1. 0.8 1. 1.1 3.14 1.59 0.94
time (sec) N/A 0.031 0.021 0.008 1.058 1.995 7.023 1.176


















Problem 304 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 23 23 23 37 32 132 63 32
normalized size 1 1. 1. 1.61 1.39 5.74 2.74 1.39
time (sec) N/A 0.016 0.012 0.006 1.125 1.93 1.639 1.138


















Problem 305 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 19 36 76 0 23
normalized size 1 1. 1. 1. 1.89 4. 0. 1.21
time (sec) N/A 0.019 0.011 0.006 1.111 2.003 0. 1.13


















Problem 306 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 42 42 38 39 70 462 0 72
normalized size 1 1. 0.9 0.93 1.67 11. 0. 1.71
time (sec) N/A 0.031 0.069 0.009 1.116 1.954 0. 1.129


















Problem 307 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 31 31 29 32 92 235 0 42
normalized size 1 1. 0.94 1.03 2.97 7.58 0. 1.35
time (sec) N/A 0.028 0.017 0.045 1.113 1.929 0. 1.154


















Problem 308 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 75 71 135 1963 0 107
normalized size 1 1. 0.74 0.7 1.34 19.44 0. 1.06
time (sec) N/A 0.054 0.073 0.045 1.169 2.008 0. 1.127


















Problem 309 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A B B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 44 61 232 635 0 57
normalized size 1 1. 0.67 0.92 3.52 9.62 0. 0.86
time (sec) N/A 0.056 0.035 0.048 1.013 1.872 0. 1.112


















Problem 310 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 34 23 170 42 23
normalized size 1 1. 1. 1.31 0.88 6.54 1.62 0.88
time (sec) N/A 0.02 0.013 0.019 1.104 2.02 1.053 1.138


















Problem 311 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 16 22 18 90 20 18
normalized size 1 1. 0.84 1.16 0.95 4.74 1.05 0.95
time (sec) N/A 0.011 0.008 0.006 1.058 1.939 0.362 1.126


















Problem 312 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A B F B
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 11 11 11 34 24 126 0 26
normalized size 1 1. 1. 3.09 2.18 11.45 0. 2.36
time (sec) N/A 0.013 0.009 0.045 1.583 2.066 0. 1.146


















Problem 313 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 32 32 32 46 43 678 0 45
normalized size 1 1. 1. 1.44 1.34 21.19 0. 1.41
time (sec) N/A 0.024 0.036 0.046 1.547 2.041 0. 1.122


















Problem 314 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 34 23 240 42 23
normalized size 1 1. 1. 1.31 0.88 9.23 1.62 0.88
time (sec) N/A 0.02 0.016 0.013 1.082 1.962 0.954 1.143


















Problem 315 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 16 26 18 128 20 18
normalized size 1 1. 0.84 1.37 0.95 6.74 1.05 0.95
time (sec) N/A 0.012 0.009 0.016 1.108 1.966 0.329 1.117


















Problem 316 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 54 54 22 79 99 288 0 58
normalized size 1 1. 0.41 1.46 1.83 5.33 0. 1.07
time (sec) N/A 0.057 0.011 0.045 1.652 2.108 0. 1.133


















Problem 317 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 105 105 34 148 115 1985 0 116
normalized size 1 1. 0.32 1.41 1.1 18.9 0. 1.1
time (sec) N/A 0.139 0.026 0.055 1.685 2.146 0. 1.109


















Problem 318 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B B A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 26 26 26 34 23 311 42 23
normalized size 1 1. 1. 1.31 0.88 11.96 1.62 0.88
time (sec) N/A 0.021 0.016 0.013 1.053 2.042 0.955 1.106


















Problem 319 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 19 19 19 26 18 154 20 18
normalized size 1 1. 1. 1.37 0.95 8.11 1.05 0.95
time (sec) N/A 0.012 0.009 0.006 1.1 2.039 0.35 1.094


















Problem 320 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 113 113 22 56 128 440 0 130
normalized size 1 1. 0.19 0.5 1.13 3.89 0. 1.15
time (sec) N/A 0.077 0.011 0.055 1.599 2.318 0. 1.087


















Problem 321 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C C A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 34 68 144 620 0 146
normalized size 1 1. 0.26 0.52 1.1 4.73 0. 1.11
time (sec) N/A 0.088 0.025 0.058 1.595 2.798 0. 1.119


















Problem 322 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 202 202 157 326 181 5434 0 1673
normalized size 1 1. 0.78 1.61 0.9 26.9 0. 8.28
time (sec) N/A 0.082 0.666 0.061 1.191 2.56 0. 1.299


















Problem 323 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 132 132 86 143 127 1783 604 1220
normalized size 1 1. 0.65 1.08 0.96 13.51 4.58 9.24
time (sec) N/A 0.053 0.202 0.039 1.152 2.12 70.271 1.2


















Problem 324 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B A C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 75 75 50 77 85 643 316 826
normalized size 1 1. 0.67 1.03 1.13 8.57 4.21 11.01
time (sec) N/A 0.019 0.105 0.015 1.073 1.836 13.854 1.203


















Problem 325 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 66 66 93 0 0 0 0 0
normalized size 1 1. 1.41 0. 0. 0. 0. 0.
time (sec) N/A 0.022 5.313 0.019 0. 0. 0. 0.


















Problem 326 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 68 68 87 0 0 0 0 0
normalized size 1 1. 1.28 0. 0. 0. 0. 0.
time (sec) N/A 0.029 2.742 0.022 0. 0. 0. 0.


















Problem 327 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 122 122 299 0 0 0 0 0
normalized size 1 1. 2.45 0. 0. 0. 0. 0.
time (sec) N/A 0.053 19.668 0.031 0. 0. 0. 0.


















Problem 328 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F F F F F
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 131 131 202 0 0 0 0 0
normalized size 1 1. 1.54 0. 0. 0. 0. 0.
time (sec) N/A 0.06 6.999 0.035 0. 0. 0. 0.


















Problem 329 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 250 250 106 184 122 559 0 363
normalized size 1 1. 0.42 0.74 0.49 2.24 0. 1.45
time (sec) N/A 0.248 0.11 0.163 1.596 1.855 0. 1.237


















Problem 330 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 162 162 76 152 84 319 0 263
normalized size 1 1. 0.47 0.94 0.52 1.97 0. 1.62
time (sec) N/A 0.139 0.058 0.109 1.665 1.882 0. 1.16


















Problem 331 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 74 74 48 100 49 165 206 96
normalized size 1 1. 0.65 1.35 0.66 2.23 2.78 1.3
time (sec) N/A 0.112 0.038 0.112 1.653 1.847 31.182 1.163


















Problem 332 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 46 46 44 0 53 97 0 115
normalized size 1 1. 0.96 0. 1.15 2.11 0. 2.5
time (sec) N/A 0.129 0.051 180. 1.602 1.821 0. 1.21


















Problem 333 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 58 58 46 0 113 300 0 117
normalized size 1 1. 0.79 0. 1.95 5.17 0. 2.02
time (sec) N/A 0.143 0.069 180. 1.567 1.76 0. 1.231


















Problem 334 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 147 147 72 0 282 797 0 165
normalized size 1 1. 0.49 0. 1.92 5.42 0. 1.12
time (sec) N/A 0.214 0.07 180. 1.626 1.874 0. 1.291


















Problem 335 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A F B B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 199 199 84 0 521 1512 0 217
normalized size 1 1. 0.42 0. 2.62 7.6 0. 1.09
time (sec) N/A 0.279 0.078 180. 1.751 1.986 0. 1.332


















Problem 336 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A F(-2) A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 41 41 28 62 0 134 99 43
normalized size 1 1. 0.68 1.51 0. 3.27 2.41 1.05
time (sec) N/A 0.013 0.048 0.016 0. 1.746 0.843 1.164


















Problem 337 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 85 85 80 72 88 286 0 99
normalized size 1 1. 0.94 0.85 1.04 3.36 0. 1.16
time (sec) N/A 0.081 0.091 0.109 1.121 1.784 0. 1.159


















Problem 338 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 101 101 92 97 109 367 0 123
normalized size 1 1. 0.91 0.96 1.08 3.63 0. 1.22
time (sec) N/A 0.147 0.167 0.099 1.155 1.781 0. 1.125


















Problem 339 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A C C A F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 51 52 61 130 0 61
normalized size 1 1. 0.78 0.8 0.94 2. 0. 0.94
time (sec) N/A 0.065 0.066 0.073 1.061 1.889 0. 1.131


















Problem 340 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 65 65 72 48 63 235 0 66
normalized size 1 1. 1.11 0.74 0.97 3.62 0. 1.02
time (sec) N/A 0.083 0.107 0.073 1.088 1.868 0. 1.144


















Problem 341 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 123 105 120 467 0 136
normalized size 1 1. 1.07 0.91 1.04 4.06 0. 1.18
time (sec) N/A 0.168 0.396 0.145 1.064 1.824 0. 1.245


















Problem 342 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 110 110 103 100 122 591 0 143
normalized size 1 1. 0.94 0.91 1.11 5.37 0. 1.3
time (sec) N/A 0.154 0.138 0.134 1.06 1.942 0. 1.219


















Problem 343 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 148 148 149 126 171 826 0 481
normalized size 1 1. 1.01 0.85 1.16 5.58 0. 3.25
time (sec) N/A 0.194 0.752 0.173 1.626 1.836 0. 1.318


















Problem 344 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 239 239 287 207 270 1287 0 301
normalized size 1 1. 1.2 0.87 1.13 5.38 0. 1.26
time (sec) N/A 0.286 0.417 0.207 1.614 1.916 0. 1.34


















Problem 345 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 115 115 124 126 138 699 0 181
normalized size 1 1. 1.08 1.1 1.2 6.08 0. 1.57
time (sec) N/A 0.225 0.31 0.109 1.075 1.845 0. 1.282


















Problem 346 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F C
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 220 158 193 956 0 527
normalized size 1 1. 1.37 0.98 1.2 5.94 0. 3.27
time (sec) N/A 0.284 0.625 0.142 1.533 1.88 0. 1.353


















Problem 347 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 257 257 354 265 308 1519 0 385
normalized size 1 1. 1.38 1.03 1.2 5.91 0. 1.5
time (sec) N/A 0.477 0.767 0.179 1.583 1.941 0. 1.303


















Problem 348 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 133 133 104 117 142 598 0 178
normalized size 1 1. 0.78 0.88 1.07 4.5 0. 1.34
time (sec) N/A 0.198 0.158 0.106 1.033 1.764 0. 1.237


















Problem 349 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 161 161 131 139 177 676 0 203
normalized size 1 1. 0.81 0.86 1.1 4.2 0. 1.26
time (sec) N/A 0.226 0.264 0.122 1.071 1.808 0. 1.298


















Problem 350 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 271 271 214 234 285 1202 0 356
normalized size 1 1. 0.79 0.86 1.05 4.44 0. 1.31
time (sec) N/A 0.345 0.451 0.146 1.082 1.839 0. 1.218


















Problem 351 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 81 81 76 70 93 410 0 101
normalized size 1 1. 0.94 0.86 1.15 5.06 0. 1.25
time (sec) N/A 0.17 0.341 0.084 1.084 1.904 0. 1.288


















Problem 352 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 128 128 179 101 135 720 0 144
normalized size 1 1. 1.4 0.79 1.05 5.62 0. 1.12
time (sec) N/A 0.204 0.534 0.098 1.069 1.913 0. 1.276


















Problem 353 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 171 171 272 144 193 1300 0 209
normalized size 1 1. 1.59 0.84 1.13 7.6 0. 1.22
time (sec) N/A 0.3 1.207 0.125 1.076 2.083 0. 1.31


















Problem 354 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 140 140 166 147 171 853 0 232
normalized size 1 1. 1.19 1.05 1.22 6.09 0. 1.66
time (sec) N/A 0.321 0.73 0.175 1.049 2.037 0. 1.304


















Problem 355 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 183 183 258 177 217 1118 0 267
normalized size 1 1. 1.41 0.97 1.19 6.11 0. 1.46
time (sec) N/A 0.334 1.427 0.185 1.071 1.935 0. 1.274


















Problem 356 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 300 300 480 302 355 2218 0 475
normalized size 1 1. 1.6 1.01 1.18 7.39 0. 1.58
time (sec) N/A 0.587 5.804 0.241 1.086 2.165 0. 1.375


















Problem 357 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 153 153 135 156 174 717 0 228
normalized size 1 1. 0.88 1.02 1.14 4.69 0. 1.49
time (sec) N/A 0.301 0.335 0.116 1.057 1.952 0. 1.232


















Problem 358 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 219 219 183 211 250 933 0 304
normalized size 1 1. 0.84 0.96 1.14 4.26 0. 1.39
time (sec) N/A 0.364 0.615 0.184 1.061 1.975 0. 1.28


















Problem 359 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 315 315 263 316 355 1434 0 463
normalized size 1 1. 0.83 1. 1.13 4.55 0. 1.47
time (sec) N/A 0.462 0.984 0.163 1.094 2.044 0. 1.252


















Problem 360 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 154 154 179 160 188 876 0 244
normalized size 1 1. 1.16 1.04 1.22 5.69 0. 1.58
time (sec) N/A 0.332 0.786 0.184 1.057 1.872 0. 1.277


















Problem 361 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 225 225 257 217 269 1269 0 323
normalized size 1 1. 1.14 0.96 1.2 5.64 0. 1.44
time (sec) N/A 0.395 2.192 0.208 1.104 1.894 0. 1.295


















Problem 362 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 323 323 2511 326 387 2248 0 498
normalized size 1 1. 7.77 1.01 1.2 6.96 0. 1.54
time (sec) N/A 0.53 6.499 0.248 1.121 2.02 0. 1.246


















Problem 363 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 161 161 252 186 204 973 0 282
normalized size 1 1. 1.57 1.16 1.27 6.04 0. 1.75
time (sec) N/A 0.449 1.525 0.136 1.067 1.894 0. 1.235


















Problem 364 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A B F(-1) A
verified N/A Yes NO TBD TBD TBD TBD TBD
size 239 239 339 249 290 1382 0 369
normalized size 1 1. 1.42 1.04 1.21 5.78 0. 1.54
time (sec) N/A 0.546 6.061 0.167 1.081 2.156 0. 1.248


















Problem 365 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A B A A B F(-1) A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 344 344 2991 384 425 2453 0 582
normalized size 1 1. 8.69 1.12 1.24 7.13 0. 1.69
time (sec) N/A 0.779 6.647 0.209 1.124 2.146 0. 1.323


















Problem 366 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 30 30 30 25 47 80 41 47
normalized size 1 1. 1. 0.83 1.57 2.67 1.37 1.57
time (sec) N/A 0.038 0.056 0.01 1.071 1.807 0.202 1.294


















Problem 367 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A A A A A A A
verified N/A Yes Yes TBD TBD TBD TBD TBD
size 56 56 48 52 109 192 85 101
normalized size 1 1. 0.86 0.93 1.95 3.43 1.52 1.8
time (sec) N/A 0.077 0.084 0.008 1.035 2.07 0.455 1.247


















Problem 368 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 213 213 180 212 0 624 0 0
normalized size 1 1. 0.85 1. 0. 2.93 0. 0.
time (sec) N/A 0.556 0.314 0.039 0. 2.183 0. 0.


















Problem 369 Optimal Rubi Mathematica Maple Maxima Fricas Sympy Giac









grade A A C A F(-2) B F F
verified N/A Yes NO TBD TBD TBD TBD TBD
size 271 271 248 370 0 1445 0 0
normalized size 1 1. 0.92 1.37 0. 5.33 0. 0.
time (sec) N/A 0.809 0.515 0.039 0. 2.227 0. 0.









2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. It gives additional statistics for each integral. the column steps is the number of steps used by Rubi to obtain the antiderivative. The rules column is the number of unique rules used. The integrand size column is the leaf size of the integrand. Finally the ratio \(\frac{\text{number of rules}}{\text{integrand size}}\) is given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [320] had the largest ratio of [ 1.5 ]

Table 2.1Rubi specific breakdown of results for each integral














# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac{\text{number of rules}}{\text{integrand leaf size}}\)







1 A 1 1 1. 6 0.167







2 A 2 2 1. 8 0.25







3 A 2 1 1. 8 0.125







4 A 3 2 1. 8 0.25







5 A 2 1 1. 8 0.125







6 A 4 2 1. 8 0.25







7 A 4 3 1. 10 0.3







8 A 3 3 1. 10 0.3







9 A 3 3 1. 10 0.3







10 A 2 2 1. 10 0.2







11 A 2 2 1. 10 0.2







12 A 3 3 1. 10 0.3







13 A 3 3 1. 10 0.3







14 A 4 3 1. 10 0.3







15 A 4 3 1. 12 0.25







16 A 3 3 1. 12 0.25







17 A 3 3 1. 12 0.25







18 A 2 2 1. 12 0.167







19 A 2 2 1. 12 0.167







20 A 3 3 1. 12 0.25







21 A 3 3 1. 12 0.25







22 A 4 3 1. 12 0.25







23 A 3 2 1. 14 0.143







24 A 2 2 1. 14 0.143







25 A 2 2 1. 14 0.143







26 A 1 1 1. 14 0.071







27 A 1 1 1. 14 0.071







28 A 2 2 1. 14 0.143







29 A 2 2 1. 14 0.143







30 A 3 2 1. 14 0.143







31 A 1 1 1. 12 0.083







32 A 1 1 1. 12 0.083







33 A 1 1 1. 12 0.083







34 A 1 1 1. 12 0.083







35 A 1 1 1. 12 0.083







36 A 1 1 1. 12 0.083







37 A 1 1 1. 10 0.1







38 A 1 1 1. 12 0.083







39 A 1 1 1. 12 0.083







40 A 6 5 1. 13 0.385







41 A 2 2 1. 13 0.154







42 A 3 3 1. 13 0.231







43 A 2 2 1. 11 0.182







44 A 3 3 1. 11 0.273







45 A 5 5 1. 13 0.385







46 A 6 6 1. 13 0.462







47 A 6 5 1. 13 0.385







48 A 3 3 1. 13 0.231







49 A 6 6 1. 13 0.462







50 A 3 3 1. 13 0.231







51 A 2 2 1. 11 0.182







52 A 4 4 1. 11 0.364







53 A 6 6 1. 13 0.462







54 A 7 7 1. 13 0.538







55 A 7 6 1. 13 0.462







56 A 1 1 1. 14 0.071







57 A 2 2 1. 14 0.143







58 A 3 2 1. 14 0.143







59 A 4 2 1. 14 0.143







60 A 1 1 1. 14 0.071







61 A 2 2 1. 14 0.143







62 A 3 2 1. 14 0.143







63 A 4 2 1. 14 0.143







64 A 3 3 1. 16 0.188







65 A 3 3 1. 16 0.188







66 A 3 2 1. 17 0.118







67 A 2 2 1. 17 0.118







68 A 1 1 1. 17 0.059







69 A 2 2 1. 17 0.118







70 A 3 3 1. 17 0.176







71 A 4 3 1. 17 0.176







72 A 7 7 1. 13 0.538







73 A 6 6 1. 13 0.462







74 A 6 6 1. 13 0.462







75 A 4 4 1. 11 0.364







76 A 5 5 1. 11 0.454







77 A 7 7 1. 13 0.538







78 A 7 7 1. 13 0.538







79 A 8 7 1. 13 0.538







80 A 7 7 1. 13 0.538







81 A 6 6 1. 13 0.462







82 A 5 5 1. 13 0.385







83 A 5 5 1. 11 0.454







84 A 6 6 1. 11 0.546







85 A 7 7 1. 13 0.538







86 A 8 7 1. 13 0.538







87 A 9 7 1. 13 0.538







88 A 4 3 1. 14 0.214







89 A 6 5 1. 14 0.357







90 A 7 6 1. 14 0.429







91 A 8 6 1. 14 0.429







92 A 1 1 1. 14 0.071







93 A 3 3 1. 14 0.214







94 A 4 4 1. 14 0.286







95 A 5 4 1. 14 0.286







96 A 4 3 1. 12 0.25







97 A 3 3 1. 12 0.25







98 A 2 2 1. 12 0.167







99 A 1 1 1. 12 0.083







100 A 2 1 1. 10 0.1







101 A 3 3 1. 12 0.25







102 A 5 5 1. 12 0.417







103 A 6 6 1. 12 0.5







104 A 7 6 1. 12 0.5







105 A 7 7 1. 10 0.7







106 A 6 6 1. 10 0.6







107 A 2 2 1. 10 0.2







108 A 2 2 1. 10 0.2







109 A 4 4 1. 10 0.4







110 A 7 7 1. 10 0.7







111 A 5 5 1. 13 0.385







112 A 4 3 1. 20 0.15







113 A 3 3 1. 20 0.15







114 A 2 2 1. 20 0.1







115 A 2 2 1. 15 0.133







116 A 2 2 1. 15 0.133







117 A 3 3 1. 15 0.2







118 A 4 3 1. 15 0.2







119 A 2 2 1. 17 0.118







120 A 2 2 1. 17 0.118







121 A 3 3 1. 17 0.176







122 A 4 3 1. 17 0.176







123 A 3 3 1. 20 0.15







124 A 3 3 1. 20 0.15







125 A 4 4 1. 20 0.2







126 A 8 6 1. 17 0.353







127 A 7 6 1. 17 0.353







128 A 6 6 1. 17 0.353







129 A 4 4 1. 15 0.267







130 A 5 5 1. 15 0.333







131 A 6 5 1. 15 0.333







132 A 7 5 1. 15 0.333







133 A 4 4 1. 20 0.2







134 A 2 2 1. 20 0.1







135 A 2 2 1. 16 0.125







136 A 2 2 1. 13 0.154







137 A 5 5 1. 17 0.294







138 A 6 6 1. 17 0.353







139 A 7 6 1. 17 0.353







140 A 4 3 1. 10 0.3







141 A 3 3 1. 10 0.3







142 A 2 2 1. 10 0.2







143 A 2 2 1. 10 0.2







144 A 3 3 1. 10 0.3







145 A 4 3 1. 10 0.3







146 A 7 4 1. 10 0.4







147 A 5 4 1. 10 0.4







148 A 4 4 1. 10 0.4







149 A 4 4 1. 10 0.4







150 A 5 4 1. 10 0.4







151 A 7 4 1. 10 0.4







152 A 7 3 1. 10 0.3







153 A 5 3 1. 10 0.3







154 A 3 3 1. 10 0.3







155 A 3 3 1. 10 0.3







156 A 3 2 1. 10 0.2







157 A 3 2 1. 10 0.2







158 A 5 3 1. 13 0.231







159 A 3 2 1. 13 0.154







160 A 4 3 1. 13 0.231







161 A 3 2 1. 13 0.154







162 A 3 3 1. 13 0.231







163 A 2 1 1. 13 0.077







164 A 2 2 1. 13 0.154







165 A 2 2 1. 11 0.182







166 A 4 3 1. 11 0.273







167 A 3 3 1. 13 0.231







168 A 4 3 1. 13 0.231







169 A 3 2 1. 13 0.154







170 A 4 3 1. 13 0.231







171 A 4 4 1. 13 0.308







172 A 2 2 1. 13 0.154







173 A 3 3 1. 13 0.231







174 A 3 2 1. 13 0.154







175 A 2 2 1. 13 0.154







176 A 2 2 1. 11 0.182







177 A 4 3 1. 11 0.273







178 A 4 3 1. 13 0.231







179 A 4 3 1. 13 0.231







180 A 4 2 1. 13 0.154







181 A 3 2 1. 15 0.133







182 A 1 1 1. 15 0.067







183 A 2 2 1. 13 0.154







184 A 3 2 1. 15 0.133







185 A 1 1 1. 15 0.067







186 A 2 2 1. 13 0.154







187 A 3 2 1. 13 0.154







188 A 7 6 1. 13 0.462







189 A 3 2 1. 13 0.154







190 A 6 6 1. 13 0.462







191 A 3 2 1. 13 0.154







192 A 5 5 1. 13 0.385







193 A 2 2 1. 11 0.182







194 A 6 6 1. 11 0.546







195 A 5 5 1. 13 0.385







196 A 7 6 1. 13 0.462







197 A 6 6 1. 13 0.462







198 A 8 7 1. 13 0.538







199 A 7 6 1. 13 0.462







200 A 6 6 1. 13 0.462







201 A 3 2 1. 13 0.154







202 A 5 5 1. 13 0.385







203 A 2 2 1. 11 0.182







204 A 7 6 1. 11 0.546







205 A 6 6 1. 13 0.462







206 A 7 6 1. 13 0.462







207 A 7 6 1. 13 0.462







208 A 6 5 1. 13 0.385







209 A 6 5 1. 13 0.385







210 A 5 4 1. 13 0.308







211 A 5 5 1. 11 0.454







212 A 4 4 1. 11 0.364







213 A 4 4 1. 13 0.308







214 A 5 4 1. 13 0.308







215 A 5 5 1. 13 0.385







216 A 5 4 1. 13 0.308







217 A 6 5 1. 13 0.385







218 A 10 6 1. 13 0.462







219 A 4 3 1. 13 0.231







220 A 10 5 1. 13 0.385







221 A 4 3 1. 11 0.273







222 A 3 2 1. 11 0.182







223 A 7 5 1. 13 0.385







224 A 3 2 1. 13 0.154







225 A 9 6 1. 13 0.462







226 A 3 2 1. 13 0.154







227 A 11 5 1. 13 0.385







228 A 13 9 1. 13 0.692







229 A 7 6 1. 13 0.462







230 A 8 7 1. 13 0.538







231 A 6 5 1. 11 0.454







232 A 4 4 1. 11 0.364







233 A 7 7 1. 13 0.538







234 A 3 2 1. 13 0.154







235 A 7 7 1. 13 0.538







236 A 16 9 1. 13 0.692







237 A 7 6 1. 13 0.462







238 A 13 9 1. 13 0.692







239 A 6 5 1. 11 0.454







240 A 3 2 1. 11 0.182







241 A 8 7 1. 13 0.538







242 A 3 2 1. 13 0.154







243 A 8 7 1. 13 0.538







244 A 4 4 1. 13 0.308







245 A 3 3 1. 13 0.231







246 A 7 6 1. 15 0.4







247 A 5 4 1. 15 0.267







248 A 5 4 1. 17 0.235







249 A 11 9 1. 15 0.6







250 A 9 8 1. 15 0.533







251 A 12 11 1. 15 0.733







252 A 6 6 1. 15 0.4







253 A 7 7 1. 31 0.226







254 A 8 8 1. 31 0.258







255 A 9 8 1. 31 0.258







256 A 10 8 1. 31 0.258







257 A 13 8 1. 14 0.571







258 A 11 7 1. 14 0.5







259 A 9 6 1. 12 0.5







260 A 13 5 1. 20 0.25







261 A 5 3 1. 36 0.083







262 A 4 3 1. 36 0.083







263 A 2 2 1. 34 0.059







264 A 0 0 0. 0 0.







265 A 0 0 0. 0 0.







266 A 1 1 1. 11 0.091







267 A 2 2 1. 13 0.154







268 A 2 2 1. 13 0.154







269 A 3 2 1. 13 0.154







270 A 1 1 1. 15 0.067







271 A 2 2 1. 17 0.118







272 A 2 2 0.97 17 0.118







273 A 3 2 0.98 17 0.118







274 A 2 1 1. 15 0.067







275 A 3 2 1. 17 0.118







276 A 3 1 1. 17 0.059







277 A 4 2 1. 17 0.118







278 A 3 1 1. 17 0.059







279 A 4 3 1. 19 0.158







280 A 4 3 1. 19 0.158







281 A 3 2 1. 19 0.105







282 A 3 2 1. 19 0.105







283 A 4 3 1. 19 0.158







284 A 4 3 1. 19 0.158







285 A 8 8 1. 18 0.444







286 A 6 6 1. 18 0.333







287 A 3 3 1. 18 0.167







288 A 4 4 1. 18 0.222







289 A 4 4 1. 10 0.4







290 A 5 5 1. 12 0.417







291 A 6 4 1. 12 0.333







292 A 5 5 1. 11 0.454







293 A 6 6 1. 13 0.462







294 A 9 5 1. 13 0.385







295 A 5 5 1. 14 0.357







296 A 6 6 1. 16 0.375







297 A 9 5 1. 16 0.312







298 A 6 6 1. 17 0.353







299 A 7 7 1. 19 0.368







300 A 10 6 1. 19 0.316







301 A 4 3 1. 16 0.188







302 A 5 4 1. 16 0.25







303 A 4 3 1. 16 0.188







304 A 4 3 1. 14 0.214







305 A 3 3 1. 14 0.214







306 A 4 4 1. 16 0.25







307 A 3 3 1. 16 0.188







308 A 6 5 1. 16 0.312







309 A 5 4 1. 16 0.25







310 A 4 3 1. 10 0.3







311 A 4 3 1. 8 0.375







312 A 5 5 1. 8 0.625







313 A 6 6 1. 10 0.6







314 A 4 3 1. 10 0.3







315 A 4 3 1. 8 0.375







316 A 9 9 1. 8 1.125







317 A 13 9 1. 10 0.9







318 A 4 3 1. 10 0.3







319 A 4 3 1. 8 0.375







320 A 15 12 1. 8 1.5







321 A 16 13 1. 10 1.3







322 A 2 2 1. 18 0.111







323 A 2 2 1. 18 0.111







324 A 1 1 1. 16 0.062







325 A 1 1 1. 16 0.062







326 A 1 1 1. 18 0.056







327 A 2 2 1. 18 0.111







328 A 2 2 1. 18 0.111







329 A 6 5 1. 25 0.2







330 A 6 5 1. 25 0.2







331 A 5 4 1. 25 0.16







332 A 4 4 1. 25 0.16







333 A 4 4 1. 25 0.16







334 A 6 5 1. 25 0.2







335 A 6 5 1. 25 0.2







336 A 1 1 1. 10 0.1







337 A 6 4 1. 12 0.333







338 A 6 4 1. 15 0.267







339 A 6 3 1. 12 0.25







340 A 4 2 1. 14 0.143







341 A 6 3 1. 17 0.176







342 A 8 5 1. 16 0.312







343 A 9 6 1. 18 0.333







344 A 14 5 1. 18 0.278







345 A 8 5 1. 19 0.263







346 A 9 6 1. 21 0.286







347 A 14 5 1. 21 0.238







348 A 8 4 1. 16 0.25







349 A 9 4 1. 18 0.222







350 A 14 4 1. 18 0.222







351 A 6 4 1. 18 0.222







352 A 7 4 1. 20 0.2







353 A 10 4 1. 20 0.2







354 A 8 5 1. 21 0.238







355 A 9 5 1. 23 0.217







356 A 14 5 1. 23 0.217







357 A 8 4 1. 19 0.21







358 A 10 4 1. 21 0.19







359 A 14 4 1. 21 0.19







360 A 8 5 1. 21 0.238







361 A 10 5 1. 23 0.217







362 A 14 5 1. 23 0.217







363 A 8 5 1. 24 0.208







364 A 10 5 1. 26 0.192







365 A 14 5 1. 26 0.192







366 A 6 5 1. 6 0.833







367 A 9 6 1. 6 1.







368 A 8 4 1. 16 0.25







369 A 8 4 1. 19 0.21