Chapter 2
detailed summary tables of results
2.1 List of integrals sorted by grade for each CAS
2.1.1 Rubi
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87,
88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112,
113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134,
135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153,
154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172,
173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191,
192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210,
211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229,
230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248,
249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267,
268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286,
287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305,
306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324,
325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343,
344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362,
363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381,
382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400
}
B grade: { }
C grade: { }
F grade: { }
2.1.2 Mathematica
A grade: { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
30, 31, 32, 33, 34, 35, 36, 37, 38, 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, 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, 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, 240, 241, 242, 243, 244, 245, 246, 247, 248,
249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 276, 277, 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, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381,
382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400
}
B grade: { 39, 40, 41, 42, 202, 203, 204, 239, 278 }
C grade: { 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 275, 366 }
F grade: { 136, 137, 138, 272, 273, 274}
2.1.3 Maple
A grade: { 1, 2, 3, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32,
33, 34, 35, 36, 37, 43, 44, 45, 46, 47, 52, 53, 58, 59, 60, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78,
79, 80, 81, 88, 89, 90, 91, 100, 101, 102, 103, 104, 110, 111, 115, 116, 117, 118, 119, 120, 121, 122, 123,
124, 125, 126, 128, 129, 130, 131, 132, 134, 135, 140, 141, 142, 143, 144, 145, 157, 160, 161, 162, 163, 164,
165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 181, 182, 183, 208, 209, 210, 211,
212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 229, 240, 241, 242, 243,
244, 245, 246, 247, 248, 250, 251, 254, 256, 257, 258, 275, 276, 277, 279, 283, 284, 285, 289,
290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308,
311, 312, 313, 314, 318, 319, 320, 321, 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, 363, 364, 374, 375, 376, 380, 381, 382, 386, 387, 388, 389, 392, 393, 394
}
B grade: { 4, 5, 6, 7, 15, 38, 39, 40, 41, 42, 48, 49, 50, 51, 54, 55, 56, 57, 61, 62, 63, 64, 82, 83, 84, 85, 86,
87, 92, 93, 94, 95, 96, 97, 98, 99, 105, 106, 107, 108, 109, 112, 113, 114, 127, 133, 146, 147, 148, 149, 150,
151, 152, 153, 154, 155, 156, 158, 159, 178, 179, 180, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194,
195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 226, 227, 228, 230, 231, 232, 233, 234, 235,
236, 237, 238, 239, 249, 252, 253, 255, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270,
271, 278, 280, 281, 282, 286, 287, 288, 309, 310, 315, 316, 317, 322, 323, 358, 359, 360, 361,
362, 365, 366, 367, 368, 369, 372, 373, 377, 378, 379, 383, 384, 385, 390, 391, 395, 396, 397
}
C grade: { }
F grade: { 136, 137, 138, 139, 272, 273, 274, 370, 371, 398, 399, 400 }
2.1.4 Maxima
A grade: { 1, 2, 3, 11, 12, 13, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,
69, 70, 71, 72, 73, 74, 75, 76, 77, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129,
130, 132, 133, 134, 135, 140, 141, 142, 143, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172,
173, 174, 175, 176, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225,
240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 254, 255, 256, 257, 275, 276, 277, 279, 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, 318, 319, 320, 321, 322, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333,
334, 335, 336, 337, 338, 339, 340, 341, 342, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353,
354, 355, 356, 357, 361, 362, 363, 364, 374, 375, 376, 380, 381, 382, 386, 387, 388, 392, 393,
394
B grade: { 10, 39, 40, 41, 42, 131, 177, 252, 253, 278, 317, 323, 343, 358, 359, 360, 377, 383, 389, 395
}
C grade: { }
F grade: { 4, 5, 6, 7, 8, 9, 14, 15, 16, 17, 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, 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, 136, 137, 138, 139, 144, 145,
146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 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,
226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 258, 259, 260, 261, 262, 263, 264, 265,
266, 267, 268, 269, 270, 271, 272, 273, 274, 280, 281, 282, 283, 284, 285, 286, 287, 288, 365,
366, 367, 368, 369, 370, 371, 372, 373, 378, 379, 384, 385, 390, 391, 396, 397, 398, 399, 400
}
2.1.5 FriCAS
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, 32, 33, 34, 35, 36, 37, 43, 44, 45, 46, 47, 52, 53, 59, 60, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80,
81, 88, 89, 90, 91, 100, 101, 102, 103, 104, 108, 109, 110, 111, 115, 116, 117, 118, 119, 120, 121, 122, 123,
124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 140, 141, 142, 143, 144, 148, 149, 150, 151, 160,
161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 179, 180, 181, 186, 187,
188, 189, 199, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223,
224, 225, 226, 227, 228, 229, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252,
254, 255, 256, 257, 275, 276, 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, 312,
313, 314, 320, 321, 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, 361, 362, 363, 364, 373, 374, 375, 376, 380, 381, 382, 386, 387, 388, 392, 393, 394
}
B grade: { 31, 38, 39, 40, 41, 42, 50, 51, 57, 58, 64, 65, 66, 67, 107, 112, 113, 114, 145, 146, 147, 155, 156,
157, 177, 178, 182, 183, 184, 196, 197, 198, 233, 234, 235, 236, 237, 253, 258, 277, 278, 310, 311, 315, 316,
317, 318, 319, 322, 323, 360, 367, 368, 369, 372, 377, 378, 379, 383, 384, 385, 389, 390, 391, 395, 396, 397
}
C grade: { }
F grade: { 48, 49, 54, 55, 56, 61, 62, 63, 82, 83, 84, 85, 86, 87, 92, 93, 94, 95, 96, 97, 98, 99, 105, 106, 136,
137, 138, 139, 152, 153, 154, 158, 159, 185, 190, 191, 192, 193, 194, 195, 200, 201, 202, 203, 204, 205, 206,
207, 230, 231, 232, 238, 239, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274,
365, 366, 370, 371, 398, 399, 400 }
2.1.6 Sympy
A grade: { 10, 11, 12, 13, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 53,
59, 60, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 88, 89, 90, 91, 100, 101, 102, 103, 104, 110,
111, 115, 118, 119, 120, 140, 141, 142, 143, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172,
173, 174, 175, 176, 276, 279, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 307,
314, 321 }
B grade: { 39, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 58, 116, 117, 126, 132, 144, 145, 146, 147, 148, 149,
150, 151, 156, 157, 177, 275, 277, 278 }
C grade: { 1, 2, 3, 304, 305, 306, 308, 309, 311, 312, 313, 315, 316, 318, 319, 320 }
F grade: { 4, 5, 6, 7, 8, 9, 14, 15, 16, 17, 47, 48, 49, 54, 55, 56, 57, 61, 62, 63, 64, 65, 66, 82,
83, 84, 85, 86, 87, 92, 93, 94, 95, 96, 97, 98, 99, 105, 106, 107, 108, 109, 112, 113, 114, 121,
122, 123, 124, 125, 127, 128, 129, 130, 131, 133, 134, 135, 136, 137, 138, 139, 152, 153, 154,
155, 158, 159, 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, 280, 281, 282, 283, 284, 285, 286, 287, 288, 310, 317, 322, 323, 324,
325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343,
344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362,
363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381,
382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400
}
2.1.7 Giac
A grade: { 1, 2, 3, 10, 11, 12, 13, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37,
38, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 66, 67, 68, 69, 70, 71, 72, 73, 74,
75, 76, 77, 78, 79, 80, 81, 82, 88, 89, 90, 91, 92, 100, 101, 102, 103, 104, 105, 108, 109, 110, 111, 115, 116,
117, 118, 119, 120, 124, 125, 126, 127, 130, 131, 132, 133, 135, 140, 141, 142, 143, 144, 145, 146, 148, 149,
150, 151, 152, 153, 155, 156, 157, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174,
175, 176, 177, 179, 180, 181, 182, 186, 187, 188, 189, 199, 208, 209, 210, 211, 214, 215, 216, 217, 220,
221, 222, 223, 226, 227, 228, 229, 235, 236, 240, 241, 242, 243, 246, 247, 248, 249, 252, 253,
254, 255, 279, 280, 281, 282, 284, 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, 334, 335, 336, 338, 344, 345, 346, 351, 352, 353, 354, 358,
359, 360, 361, 365, 366, 372, 373, 374, 375, 376, 380, 381, 382, 386, 387, 388, 392, 393, 394
}
B grade: { 39, 40, 41, 42, 61, 63, 64, 65, 84, 85, 86, 87, 94, 95, 97, 98, 99, 107, 112, 114, 121, 123, 129,
147, 154, 158, 159, 178, 183, 184, 185, 196, 197, 198, 203, 212, 218, 224, 232, 233, 234, 237, 239, 245, 251,
257, 275, 276, 277, 278, 285, 286, 287, 288, 327, 328, 329, 330, 331, 332, 333, 337, 339, 340, 341, 342, 343,
348, 349, 356, 357, 363, 364, 367, 368, 369 }
C grade: { }
F grade: { 4, 5, 6, 7, 8, 9, 14, 15, 16, 17, 83, 93, 96, 106, 113, 122, 128, 134, 136, 137, 138, 139, 190, 191,
192, 193, 194, 195, 200, 201, 202, 204, 205, 206, 207, 213, 219, 225, 230, 231, 238, 244, 250, 256, 258,
259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 283, 347, 350,
355, 362, 370, 371, 377, 378, 379, 383, 384, 385, 389, 390, 391, 395, 396, 397, 398, 399, 400
}
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 \(\frac{\text{antiderivative leaf size}}{\text{optimal antiderivative leaf size}}\)
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| Problem 1 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
A |
A |
A |
C |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 236 | 236 | 226 | 371 | 505 | 464 | 1239 | 266 |
| normalized size | 1 | 1. | 0.96 | 1.57 | 2.14 | 1.97 | 5.25 | 1.13 |
| time (sec) |
N/A |
0.47 |
0.518 |
0.087 |
1.515 |
2.398 |
21.467 |
1.15 |
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| Problem 2 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
A |
A |
A |
C |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 186 | 186 | 190 | 304 | 304 | 375 | 675 | 216 |
| normalized size | 1 | 1. | 1.02 | 1.63 | 1.63 | 2.02 | 3.63 | 1.16 |
| time (sec) |
N/A |
0.227 |
0.309 |
0.059 |
1.788 |
2.511 |
11.5 |
1.182 |
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| Problem 3 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
A |
A |
A |
C |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 125 | 125 | 121 | 154 | 188 | 227 | 347 | 115 |
| normalized size | 1 | 1. | 0.97 | 1.23 | 1.5 | 1.82 | 2.78 | 0.92 |
| time (sec) |
N/A |
0.069 |
0.144 |
0.051 |
1.53 |
2.036 |
6.477 |
1.141 |
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| Problem 4 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F(-2) |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 148 | 148 | 103 | 384 | 0 | 236 | 0 | 0 |
| normalized size |
1 |
1. |
0.7 |
2.59 |
0. |
1.59 |
0. |
0. |
| time (sec) |
N/A |
0.176 |
0.226 |
0.058 |
0. |
1.873 |
0. |
0. |
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| Problem 5 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 170 | 170 | 109 | 439 | 0 | 409 | 0 | 0 |
| normalized size |
1 |
1. |
0.64 |
2.58 |
0. |
2.41 |
0. |
0. |
| time (sec) |
N/A |
0.203 |
0.243 |
0.06 |
0. |
1.881 |
0. |
0. |
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| Problem 6 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
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| grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F(-2) |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 149 | 149 | 114 | 318 | 0 | 533 | 0 | 0 |
| normalized size |
1 |
1. |
0.77 |
2.13 |
0. |
3.58 |
0. |
0. |
| time (sec) |
N/A |
0.189 |
0.236 |
0.062 |
0. |
1.824 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 7 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F(-2) |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 196 | 196 | 112 | 453 | 0 | 637 | 0 | 0 |
| normalized size |
1 |
1. |
0.57 |
2.31 |
0. |
3.25 |
0. |
0. |
| time (sec) |
N/A |
0.184 |
0.296 |
0.06 |
0. |
1.916 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 8 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
A |
F |
F(-2) |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 180 | 180 | 109 | 116 | 0 | 678 | 0 | 0 |
| normalized size |
1 |
1. |
0.61 |
0.64 |
0. |
3.77 |
0. |
0. |
| time (sec) |
N/A |
0.21 |
0.207 |
0.048 |
0. |
1.968 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 9 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
F(-2) |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 234 | 234 | 144 | 152 | 0 | 852 | 0 | 0 |
| normalized size |
1 |
1. |
0.62 |
0.65 |
0. |
3.64 |
0. |
0. |
| time (sec) |
N/A |
0.264 |
0.228 |
0.049 |
0. |
2.55 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 10 |
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 | 236 | 236 | 174 | 374 | 575 | 406 | 1277 | 224 |
| normalized size | 1 | 1. | 0.74 | 1.58 | 2.44 | 1.72 | 5.41 | 0.95 |
| time (sec) |
N/A |
0.657 |
0.454 |
0.066 |
1.505 |
2.353 |
20.234 |
1.233 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 11 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 191 | 191 | 139 | 301 | 390 | 319 | 898 | 177 |
| normalized size | 1 | 1. | 0.73 | 1.58 | 2.04 | 1.67 | 4.7 | 0.93 |
| time (sec) |
N/A |
0.378 |
0.183 |
0.062 |
1.518 |
2.388 |
14.176 |
1.177 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 12 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 143 | 143 | 103 | 234 | 234 | 236 | 488 | 131 |
| normalized size | 1 | 1. | 0.72 | 1.64 | 1.64 | 1.65 | 3.41 | 0.92 |
| time (sec) |
N/A |
0.199 |
0.116 |
0.056 |
1.552 |
1.761 |
7.577 |
1.191 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 13 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 87 | 87 | 67 | 108 | 126 | 153 | 264 | 70 |
| normalized size | 1 | 1. | 0.77 | 1.24 | 1.45 | 1.76 | 3.03 | 0.8 |
| time (sec) |
N/A |
0.051 |
0.042 |
0.105 |
1.526 |
1.777 |
3.224 |
1.213 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 14 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
A |
F |
F(-2) |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 103 | 103 | 83 | 149 | 0 | 315 | 0 | 0 |
| normalized size |
1 |
1. |
0.81 |
1.45 |
0. |
3.06 |
0. |
0. |
| time (sec) |
N/A |
0.121 |
0.161 |
0.057 |
0. |
1.85 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 15 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
A |
F |
F |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 163 | 163 | 95 | 355 | 0 | 451 | 0 | 0 |
| normalized size |
1 |
1. |
0.58 |
2.18 |
0. |
2.77 |
0. |
0. |
| time (sec) |
N/A |
0.169 |
0.221 |
0.061 |
0. |
1.828 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 16 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
A |
F |
F(-2) |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 180 | 180 | 103 | 116 | 0 | 510 | 0 | 0 |
| normalized size |
1 |
1. |
0.57 |
0.64 |
0. |
2.83 |
0. |
0. |
| time (sec) |
N/A |
0.205 |
0.199 |
0.049 |
0. |
1.781 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 17 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
A |
F |
F(-2) |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 234 | 234 | 139 | 152 | 0 | 689 | 0 | 0 |
| normalized size |
1 |
1. |
0.59 |
0.65 |
0. |
2.94 |
0. |
0. |
| time (sec) |
N/A |
0.249 |
0.224 |
0.049 |
0. |
2.056 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 18 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 175 | 173 | 208 | 217 | 273 | 595 | 257 | 327 |
| normalized size | 1 | 0.99 | 1.19 | 1.24 | 1.56 | 3.4 | 1.47 | 1.87 |
| time (sec) |
N/A |
0.313 |
0.09 |
0.044 |
1.022 |
1.534 |
0.092 |
1.145 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 19 |
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 | 175 | 173 | 150 | 148 | 190 | 423 | 173 | 231 |
| normalized size | 1 | 0.99 | 0.86 | 0.85 | 1.09 | 2.42 | 0.99 | 1.32 |
| time (sec) |
N/A |
0.216 |
0.059 |
0.046 |
1.064 |
1.474 |
0.083 |
1.173 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 20 |
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 | 86 | 86 | 86 | 79 | 108 | 250 | 97 | 135 |
| normalized size | 1 | 1. | 1. | 0.92 | 1.26 | 2.91 | 1.13 | 1.57 |
| time (sec) |
N/A |
0.106 |
0.029 |
0.043 |
0.981 |
1.469 |
0.071 |
1.163 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 21 |
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 | 46 | 39 | 51 | 104 | 42 | 54 |
| normalized size | 1 | 1. | 1. | 0.85 | 1.11 | 2.26 | 0.91 | 1.17 |
| time (sec) |
N/A |
0.029 |
0.012 |
0.047 |
0.995 |
1.489 |
0.062 |
1.149 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 22 |
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 | 145 | 143 | 136 | 210 | 215 | 344 | 143 | 230 |
| normalized size | 1 | 0.99 | 0.94 | 1.45 | 1.48 | 2.37 | 0.99 | 1.59 |
| time (sec) |
N/A |
0.245 |
0.078 |
0.049 |
1.001 |
1.689 |
0.766 |
1.124 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 23 |
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 | 153 | 151 | 142 | 234 | 228 | 545 | 184 | 324 |
| normalized size | 1 | 0.99 | 0.93 | 1.53 | 1.49 | 3.56 | 1.2 | 2.12 |
| time (sec) |
N/A |
0.205 |
0.158 |
0.056 |
0.999 |
1.583 |
1.567 |
1.148 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 24 |
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 | 156 | 154 | 176 | 257 | 239 | 585 | 204 | 225 |
| normalized size | 1 | 0.99 | 1.13 | 1.65 | 1.53 | 3.75 | 1.31 | 1.44 |
| time (sec) |
N/A |
0.199 |
0.103 |
0.056 |
0.996 |
1.686 |
5.848 |
1.139 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 25 |
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 | 304 | 301 | 335 | 385 | 486 | 992 | 445 | 571 |
| normalized size | 1 | 0.99 | 1.1 | 1.27 | 1.6 | 3.26 | 1.46 | 1.88 |
| time (sec) |
N/A |
0.535 |
0.135 |
0.046 |
1.026 |
1.442 |
0.119 |
1.149 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 26 |
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 | 217 | 216 | 241 | 268 | 347 | 709 | 311 | 408 |
| normalized size | 1 | 1. | 1.11 | 1.24 | 1.6 | 3.27 | 1.43 | 1.88 |
| time (sec) |
N/A |
0.313 |
0.092 |
0.045 |
1.005 |
1.405 |
0.105 |
1.128 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 27 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 128 | 128 | 144 | 151 | 208 | 428 | 180 | 244 |
| normalized size | 1 | 1. | 1.12 | 1.18 | 1.62 | 3.34 | 1.41 | 1.91 |
| time (sec) |
N/A |
0.159 |
0.051 |
0.047 |
0.989 |
1.574 |
0.091 |
1.168 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 28 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 67 | 67 | 69 | 75 | 100 | 185 | 83 | 103 |
| normalized size | 1 | 1. | 1.03 | 1.12 | 1.49 | 2.76 | 1.24 | 1.54 |
| time (sec) |
N/A |
0.04 |
0.029 |
0.046 |
1.019 |
1.509 |
0.077 |
1.159 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 29 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 297 | 295 | 285 | 490 | 509 | 786 | 350 | 562 |
| normalized size | 1 | 0.99 | 0.96 | 1.65 | 1.71 | 2.65 | 1.18 | 1.89 |
| time (sec) |
N/A |
0.64 |
0.168 |
0.054 |
0.999 |
1.755 |
1.469 |
1.139 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 30 |
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 | 292 | 289 | 272 | 527 | 529 | 1185 | 411 | 671 |
| normalized size | 1 | 0.99 | 0.93 | 1.8 | 1.81 | 4.06 | 1.41 | 2.3 |
| time (sec) |
N/A |
0.525 |
0.291 |
0.058 |
1.019 |
1.74 |
3.764 |
1.178 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 31 |
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 | 295 | 292 | 274 | 563 | 543 | 1305 | 471 | 536 |
| normalized size | 1 | 0.99 | 0.93 | 1.91 | 1.84 | 4.42 | 1.6 | 1.82 |
| time (sec) |
N/A |
0.495 |
0.136 |
0.061 |
1.03 |
1.731 |
16.442 |
1.162 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 32 |
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 | 404 | 400 | 459 | 553 | 691 | 1413 | 646 | 818 |
| normalized size | 1 | 0.99 | 1.14 | 1.37 | 1.71 | 3.5 | 1.6 | 2.02 |
| time (sec) |
N/A |
0.691 |
0.205 |
0.046 |
1.011 |
1.431 |
0.137 |
1.142 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 33 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 289 | 288 | 329 | 388 | 495 | 996 | 447 | 583 |
| normalized size | 1 | 1. | 1.14 | 1.34 | 1.71 | 3.45 | 1.55 | 2.02 |
| time (sec) |
N/A |
0.424 |
0.132 |
0.044 |
1.003 |
1.396 |
0.121 |
1.167 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 34 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 169 | 169 | 196 | 223 | 300 | 603 | 265 | 352 |
| normalized size | 1 | 1. | 1.16 | 1.32 | 1.78 | 3.57 | 1.57 | 2.08 |
| time (sec) |
N/A |
0.187 |
0.075 |
0.044 |
1.321 |
1.457 |
0.102 |
1.14 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 35 |
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 | 87 | 87 | 100 | 111 | 146 | 261 | 122 | 150 |
| normalized size | 1 | 1. | 1.15 | 1.28 | 1.68 | 3. | 1.4 | 1.72 |
| time (sec) |
N/A |
0.058 |
0.032 |
0.044 |
1.227 |
1.507 |
0.08 |
1.144 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 36 |
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 | 490 | 487 | 498 | 880 | 907 | 1385 | 658 | 1031 |
| normalized size | 1 | 0.99 | 1.02 | 1.8 | 1.85 | 2.83 | 1.34 | 2.1 |
| time (sec) |
N/A |
1.098 |
0.505 |
0.054 |
1.065 |
1.723 |
2.321 |
1.148 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 37 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 486 | 483 | 641 | 928 | 933 | 1987 | 731 | 1131 |
| normalized size | 1 | 0.99 | 1.32 | 1.91 | 1.92 | 4.09 | 1.5 | 2.33 |
| time (sec) |
N/A |
0.98 |
0.358 |
0.059 |
0.999 |
1.861 |
5.691 |
1.21 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 38 |
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 | 466 | 463 | 438 | 978 | 946 | 2198 | 799 | 981 |
| normalized size | 1 | 0.99 | 0.94 | 2.1 | 2.03 | 4.72 | 1.71 | 2.11 |
| time (sec) |
N/A |
0.967 |
0.235 |
0.061 |
1.086 |
1.828 |
36.916 |
1.151 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 39 |
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 | 17 | 17 | 62 | 76 | 111 | 153 | 75 | 150 |
| normalized size | 1 | 1. | 3.65 | 4.47 | 6.53 | 9. | 4.41 | 8.82 |
| time (sec) |
N/A |
0.032 |
0.026 |
0.049 |
0.991 |
1.596 |
0.565 |
1.172 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 40 |
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 | 17 | 17 | 62 | 76 | 111 | 153 | 75 | 150 |
| normalized size | 1 | 1. | 3.65 | 4.47 | 6.53 | 9. | 4.41 | 8.82 |
| time (sec) |
N/A |
0.019 |
0.013 |
0.047 |
0.959 |
1.672 |
0.546 |
1.169 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 41 |
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 | 17 | 17 | 90 | 157 | 216 | 234 | 155 | 292 |
| normalized size | 1 | 1. | 5.29 | 9.24 | 12.71 | 13.76 | 9.12 | 17.18 |
| time (sec) |
N/A |
0.046 |
0.039 |
0.05 |
1.004 |
1.687 |
0.778 |
1.162 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 42 |
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 | 17 | 17 | 90 | 157 | 216 | 234 | 155 | 292 |
| normalized size | 1 | 1. | 5.29 | 9.24 | 12.71 | 13.76 | 9.12 | 17.18 |
| time (sec) |
N/A |
0.025 |
0.021 |
0.05 |
0.959 |
1.606 |
0.761 |
1.174 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 43 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 240 | 237 | 223 | 399 | 0 | 1239 | 1000 | 377 |
| normalized size |
1 |
0.99 |
0.93 |
1.66 |
0. |
5.16 |
4.17 |
1.57 |
| time (sec) |
N/A |
0.471 |
0.224 |
0.052 |
0. |
1.882 |
6.769 |
1.144 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 44 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 168 | 166 | 155 | 256 | 0 | 855 | 638 | 238 |
| normalized size |
1 |
0.99 |
0.92 |
1.52 |
0. |
5.09 |
3.8 |
1.42 |
| time (sec) |
N/A |
0.262 |
0.193 |
0.069 |
0. |
1.853 |
4.463 |
1.137 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 45 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 93 | 93 | 86 | 133 | 0 | 468 | 335 | 123 |
| normalized size |
1 |
1. |
0.92 |
1.43 |
0. |
5.03 |
3.6 |
1.32 |
| time (sec) |
N/A |
0.117 |
0.11 |
0.05 |
0. |
1.843 |
2.202 |
1.165 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 46 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 55 | 55 | 56 | 59 | 0 | 296 | 156 | 65 |
| normalized size |
1 |
1. |
1.02 |
1.07 |
0. |
5.38 |
2.84 |
1.18 |
| time (sec) |
N/A |
0.053 |
0.038 |
0.046 |
0. |
1.739 |
0.674 |
1.166 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 47 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
A |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 133 | 133 | 120 | 247 | 0 | 575 | 0 | 169 |
| normalized size |
1 |
1. |
0.9 |
1.86 |
0. |
4.32 |
0. |
1.27 |
| time (sec) |
N/A |
0.162 |
0.115 |
0.053 |
0. |
47.1 |
0. |
1.133 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 48 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 214 | 214 | 188 | 462 | 0 | 0 | 0 | 365 |
| normalized size |
1 |
1. |
0.88 |
2.16 |
0. |
0. |
0. |
1.71 |
| time (sec) |
N/A |
0.355 |
0.358 |
0.058 |
0. |
0. |
0. |
1.154 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 49 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 305 | 305 | 277 | 754 | 0 | 0 | 0 | 660 |
| normalized size |
1 |
1. |
0.91 |
2.47 |
0. |
0. |
0. |
2.16 |
| time (sec) |
N/A |
0.651 |
0.348 |
0.061 |
0. |
0. |
0. |
1.163 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 50 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
B |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 216 | 216 | 233 | 484 | 0 | 1881 | 949 | 390 |
| normalized size |
1 |
1. |
1.08 |
2.24 |
0. |
8.71 |
4.39 |
1.81 |
| time (sec) |
N/A |
0.505 |
0.214 |
0.056 |
0. |
2.081 |
39.307 |
1.176 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 51 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
B |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 146 | 146 | 175 | 323 | 0 | 1276 | 593 | 248 |
| normalized size |
1 |
1. |
1.2 |
2.21 |
0. |
8.74 |
4.06 |
1.7 |
| time (sec) |
N/A |
0.245 |
0.151 |
0.051 |
0. |
2.101 |
19.217 |
1.164 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 52 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
A |
B |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 97 | 97 | 102 | 134 | 0 | 717 | 318 | 151 |
| normalized size |
1 |
1. |
1.05 |
1.38 |
0. |
7.39 |
3.28 |
1.56 |
| time (sec) |
N/A |
0.082 |
0.104 |
0.052 |
0. |
1.769 |
6.495 |
1.151 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 53 |
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 | 69 | 69 | 68 | 76 | 0 | 412 | 116 | 81 |
| normalized size |
1 |
1. |
0.99 |
1.1 |
0. |
5.97 |
1.68 |
1.17 |
| time (sec) |
N/A |
0.043 |
0.053 |
0.049 |
0. |
1.773 |
0.84 |
1.153 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 54 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 226 | 226 | 195 | 742 | 0 | 0 | 0 | 473 |
| normalized size |
1 |
1. |
0.86 |
3.28 |
0. |
0. |
0. |
2.09 |
| time (sec) |
N/A |
0.435 |
0.261 |
0.06 |
0. |
0. |
0. |
1.204 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 55 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 374 | 371 | 320 | 1036 | 0 | 0 | 0 | 821 |
| normalized size |
1 |
0.99 |
0.86 |
2.77 |
0. |
0. |
0. |
2.2 |
| time (sec) |
N/A |
0.95 |
0.467 |
0.067 |
0. |
0. |
0. |
1.203 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 56 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 524 | 524 | 466 | 1588 | 0 | 0 | 0 | 1292 |
| normalized size |
1 |
1. |
0.89 |
3.03 |
0. |
0. |
0. |
2.47 |
| time (sec) |
N/A |
1.552 |
0.706 |
0.074 |
0. |
0. |
0. |
1.189 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 57 |
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 | 209 | 209 | 281 | 402 | 0 | 2325 | 0 | 470 |
| normalized size |
1 |
1. |
1.34 |
1.92 |
0. |
11.12 |
0. |
2.25 |
| time (sec) |
N/A |
0.304 |
0.324 |
0.056 |
0. |
2.662 |
0. |
1.165 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 58 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
B |
B |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 156 | 175 | 211 | 283 | 0 | 1644 | 389 | 343 |
| normalized size |
1 |
1.12 |
1.35 |
1.81 |
0. |
10.54 |
2.49 |
2.2 |
| time (sec) |
N/A |
0.231 |
0.154 |
0.053 |
0. |
2.487 |
163.039 |
1.16 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 59 |
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 | 130 | 130 | 137 | 157 | 0 | 991 | 240 | 205 |
| normalized size |
1 |
1. |
1.05 |
1.21 |
0. |
7.62 |
1.85 |
1.58 |
| time (sec) |
N/A |
0.108 |
0.113 |
0.052 |
0. |
2. |
34.287 |
1.148 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 60 |
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 | 98 | 98 | 90 | 96 | 0 | 656 | 156 | 113 |
| normalized size |
1 |
1. |
0.92 |
0.98 |
0. |
6.69 |
1.59 |
1.15 |
| time (sec) |
N/A |
0.063 |
0.074 |
0.049 |
0. |
1.764 |
1.567 |
1.153 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 61 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 353 | 353 | 321 | 1598 | 0 | 0 | 0 | 965 |
| normalized size |
1 |
1. |
0.91 |
4.53 |
0. |
0. |
0. |
2.73 |
| time (sec) |
N/A |
0.734 |
0.486 |
0.069 |
0. |
0. |
0. |
1.181 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 62 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 571 | 566 | 498 | 2159 | 0 | 0 | 0 | 1494 |
| normalized size |
1 |
0.99 |
0.87 |
3.78 |
0. |
0. |
0. |
2.62 |
| time (sec) |
N/A |
1.925 |
0.818 |
0.076 |
0. |
0. |
0. |
1.214 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 63 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 753 | 753 | 672 | 2737 | 0 | 0 | 0 | 2068 |
| normalized size |
1 |
1. |
0.89 |
3.63 |
0. |
0. |
0. |
2.75 |
| time (sec) |
N/A |
3.143 |
1.226 |
0.081 |
0. |
0. |
0. |
1.22 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 64 |
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 | 234 | 234 | 437 | 647 | 0 | 3753 | 0 | 859 |
| normalized size |
1 |
1. |
1.87 |
2.76 |
0. |
16.04 |
0. |
3.67 |
| time (sec) |
N/A |
0.291 |
0.305 |
0.056 |
0. |
1.713 |
0. |
1.167 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 65 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
B |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 254 | 288 | 350 | 464 | 0 | 2807 | 0 | 641 |
| normalized size |
1 |
1.13 |
1.38 |
1.83 |
0. |
11.05 |
0. |
2.52 |
| time (sec) |
N/A |
0.542 |
0.322 |
0.053 |
0. |
1.637 |
0. |
1.188 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 66 |
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 | 225 | 225 | 266 | 333 | 0 | 2163 | 0 | 443 |
| normalized size |
1 |
1. |
1.18 |
1.48 |
0. |
9.61 |
0. |
1.97 |
| time (sec) |
N/A |
0.398 |
0.169 |
0.053 |
0. |
1.557 |
0. |
1.154 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 67 |
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 | 165 | 165 | 171 | 182 | 0 | 1341 | 298 | 262 |
| normalized size |
1 |
1. |
1.04 |
1.1 |
0. |
8.13 |
1.81 |
1.59 |
| time (sec) |
N/A |
0.136 |
0.162 |
0.049 |
0. |
1.455 |
127.102 |
1.159 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 68 |
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 | 126 | 126 | 112 | 113 | 0 | 900 | 196 | 147 |
| normalized size |
1 |
1. |
0.89 |
0.9 |
0. |
7.14 |
1.56 |
1.17 |
| time (sec) |
N/A |
0.078 |
0.089 |
0.05 |
0. |
1.005 |
2.229 |
1.158 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 69 |
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 | 43 | 43 | 29 | 30 | 39 | 122 | 29 | 39 |
| normalized size | 1 | 1. | 0.67 | 0.7 | 0.91 | 2.84 | 0.67 | 0.91 |
| time (sec) |
N/A |
0.05 |
0.018 |
0.046 |
1.477 |
0.975 |
0.119 |
1.155 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 70 |
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 | 27 | 24 | 31 | 111 | 20 | 31 |
| normalized size | 1 | 1. | 0.9 | 0.8 | 1.03 | 3.7 | 0.67 | 1.03 |
| time (sec) |
N/A |
0.04 |
0.01 |
0.061 |
1.528 |
0.984 |
0.111 |
1.154 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 71 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 29 | 29 | 23 | 24 | 31 | 89 | 20 | 31 |
| normalized size | 1 | 1. | 0.79 | 0.83 | 1.07 | 3.07 | 0.69 | 1.07 |
| time (sec) |
N/A |
0.025 |
0.008 |
0.046 |
1.467 |
0.989 |
0.114 |
1.152 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 72 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 14 | 14 | 14 | 13 | 16 | 58 | 10 | 16 |
| normalized size | 1 | 1. | 1. | 0.93 | 1.14 | 4.14 | 0.71 | 1.14 |
| time (sec) |
N/A |
0.011 |
0.007 |
0.045 |
1.484 |
0.98 |
0.105 |
1.162 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 73 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 31 | 31 | 28 | 26 | 34 | 117 | 24 | 35 |
| normalized size | 1 | 1. | 0.9 | 0.84 | 1.1 | 3.77 | 0.77 | 1.13 |
| time (sec) |
N/A |
0.039 |
0.01 |
0.049 |
1.461 |
0.994 |
0.136 |
1.156 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 74 |
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 | 33 | 33 | 33 | 30 | 46 | 138 | 31 | 47 |
| normalized size | 1 | 1. | 1. | 0.91 | 1.39 | 4.18 | 0.94 | 1.42 |
| time (sec) |
N/A |
0.045 |
0.016 |
0.053 |
1.502 |
0.986 |
0.137 |
1.181 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 75 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 45 | 45 | 39 | 38 | 55 | 159 | 41 | 58 |
| normalized size | 1 | 1. | 0.87 | 0.84 | 1.22 | 3.53 | 0.91 | 1.29 |
| time (sec) |
N/A |
0.063 |
0.016 |
0.051 |
1.474 |
1.037 |
0.159 |
1.155 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 76 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 12 | 22 | 12 | 13 | 16 | 50 | 8 | 16 |
| normalized size | 1 | 1.83 | 1. | 1.08 | 1.33 | 4.17 | 0.67 | 1.33 |
| time (sec) |
N/A |
0.007 |
0.012 |
0.046 |
1.462 |
0.958 |
0.102 |
1.177 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 77 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
A |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 27 | 27 | 27 | 21 | 28 | 74 | 19 | 28 |
| normalized size | 1 | 1. | 1. | 0.78 | 1.04 | 2.74 | 0.7 | 1.04 |
| time (sec) |
N/A |
0.014 |
0.01 |
0.048 |
1.494 |
1.029 |
0.117 |
1.178 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 78 |
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 | 390 | 387 | 362 | 661 | 0 | 1889 | 1088 | 641 |
| normalized size |
1 |
0.99 |
0.93 |
1.69 |
0. |
4.84 |
2.79 |
1.64 |
| time (sec) |
N/A |
0.83 |
0.471 |
0.058 |
0. |
1.646 |
25.418 |
1.188 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 79 |
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 | 280 | 279 | 256 | 446 | 0 | 1319 | 738 | 433 |
| normalized size |
1 |
1. |
0.91 |
1.59 |
0. |
4.71 |
2.64 |
1.55 |
| time (sec) |
N/A |
0.498 |
0.697 |
0.054 |
0. |
1.608 |
19.043 |
1.198 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 80 |
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 | 175 | 175 | 153 | 230 | 0 | 770 | 384 | 243 |
| normalized size |
1 |
1. |
0.87 |
1.31 |
0. |
4.4 |
2.19 |
1.39 |
| time (sec) |
N/A |
0.268 |
0.439 |
0.053 |
0. |
1.426 |
10.094 |
1.192 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 81 |
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 | 106 | 106 | 98 | 111 | 0 | 448 | 170 | 117 |
| normalized size |
1 |
1. |
0.92 |
1.05 |
0. |
4.23 |
1.6 |
1.1 |
| time (sec) |
N/A |
0.064 |
0.2 |
0.05 |
0. |
1.352 |
6.024 |
1.153 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 82 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 206 | 206 | 224 | 1265 | 0 | 0 | 0 | 375 |
| normalized size |
1 |
1. |
1.09 |
6.14 |
0. |
0. |
0. |
1.82 |
| time (sec) |
N/A |
0.392 |
0.477 |
0.301 |
0. |
0. |
0. |
1.266 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 83 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
F(-1) |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 308 | 303 | 264 | 2818 | 0 | 0 | 0 | 0 |
| normalized size |
1 |
0.98 |
0.86 |
9.15 |
0. |
0. |
0. |
0. |
| time (sec) |
N/A |
0.509 |
0.284 |
0.234 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 84 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 296 | 295 | 318 | 4432 | 0 | 0 | 0 | 1246 |
| normalized size |
1 |
1. |
1.07 |
14.97 |
0. |
0. |
0. |
4.21 |
| time (sec) |
N/A |
0.546 |
0.653 |
0.239 |
0. |
0. |
0. |
1.423 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 85 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 314 | 314 | 382 | 5565 | 0 | 0 | 0 | 2321 |
| normalized size |
1 |
1. |
1.22 |
17.72 |
0. |
0. |
0. |
7.39 |
| time (sec) |
N/A |
0.505 |
0.985 |
0.244 |
0. |
0. |
0. |
1.478 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 86 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 313 | 312 | 439 | 7237 | 0 | 0 | 0 | 2869 |
| normalized size |
1 |
1. |
1.4 |
23.12 |
0. |
0. |
0. |
9.17 |
| time (sec) |
N/A |
0.429 |
1.316 |
0.25 |
0. |
0. |
0. |
3.613 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 87 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 433 | 432 | 583 | 8546 | 0 | 0 | 0 | 5686 |
| normalized size |
1 |
1. |
1.35 |
19.74 |
0. |
0. |
0. |
13.13 |
| time (sec) |
N/A |
0.743 |
1.528 |
0.25 |
0. |
0. |
0. |
1.623 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 88 |
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 | 462 | 462 | 481 | 794 | 0 | 2634 | 1916 | 880 |
| normalized size |
1 |
1. |
1.04 |
1.72 |
0. |
5.7 |
4.15 |
1.9 |
| time (sec) |
N/A |
1.134 |
0.573 |
0.061 |
0. |
2.58 |
67.618 |
1.229 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 89 |
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 | 346 | 345 | 346 | 552 | 0 | 1878 | 1304 | 610 |
| normalized size |
1 |
1. |
1. |
1.6 |
0. |
5.43 |
3.77 |
1.76 |
| time (sec) |
N/A |
0.524 |
1.149 |
0.057 |
0. |
2.116 |
50.033 |
1.189 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 90 |
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 | 213 | 212 | 209 | 287 | 0 | 1107 | 768 | 356 |
| normalized size |
1 |
1. |
0.98 |
1.35 |
0. |
5.2 |
3.61 |
1.67 |
| time (sec) |
N/A |
0.271 |
0.688 |
0.052 |
0. |
1.473 |
25.584 |
1.171 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 91 |
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 | 137 | 137 | 125 | 146 | 0 | 618 | 348 | 174 |
| normalized size |
1 |
1. |
0.91 |
1.07 |
0. |
4.51 |
2.54 |
1.27 |
| time (sec) |
N/A |
0.083 |
0.269 |
0.049 |
0. |
1.395 |
14.993 |
1.193 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 92 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 326 | 326 | 348 | 2420 | 0 | 0 | 0 | 744 |
| normalized size |
1 |
1. |
1.07 |
7.42 |
0. |
0. |
0. |
2.28 |
| time (sec) |
N/A |
0.766 |
1.426 |
0.228 |
0. |
0. |
0. |
1.229 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 93 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
F(-1) |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 432 | 428 | 392 | 5121 | 0 | 0 | 0 | 0 |
| normalized size |
1 |
0.99 |
0.91 |
11.85 |
0. |
0. |
0. |
0. |
| time (sec) |
N/A |
0.901 |
0.582 |
0.226 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 94 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 488 | 480 | 435 | 7817 | 0 | 0 | 0 | 1399 |
| normalized size |
1 |
0.98 |
0.89 |
16.02 |
0. |
0. |
0. |
2.87 |
| time (sec) |
N/A |
0.921 |
0.706 |
0.239 |
0. |
0. |
0. |
1.47 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 95 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 475 | 469 | 517 | 9835 | 0 | 0 | 0 | 2565 |
| normalized size |
1 |
0.99 |
1.09 |
20.71 |
0. |
0. |
0. |
5.4 |
| time (sec) |
N/A |
0.845 |
1.401 |
0.252 |
0. |
0. |
0. |
1.684 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 96 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
F(-1) |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 511 | 511 | 575 | 12481 | 0 | 0 | 0 | 0 |
| normalized size |
1 |
1. |
1.13 |
24.42 |
0. |
0. |
0. |
0. |
| time (sec) |
N/A |
1.092 |
2.522 |
0.254 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 97 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 507 | 507 | 639 | 14169 | 0 | 0 | 0 | 5951 |
| normalized size |
1 |
1. |
1.26 |
27.95 |
0. |
0. |
0. |
11.74 |
| time (sec) |
N/A |
0.86 |
2.608 |
0.26 |
0. |
0. |
0. |
2.139 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 98 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 404 | 403 | 696 | 17026 | 0 | 0 | 0 | 8265 |
| normalized size |
1 |
1. |
1.72 |
42.14 |
0. |
0. |
0. |
20.46 |
| time (sec) |
N/A |
0.552 |
2.475 |
0.27 |
0. |
0. |
0. |
2.112 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 99 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F(-1) |
B |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 532 | 531 | 863 | 19093 | 0 | 0 | 0 | 10714 |
| normalized size |
1 |
1. |
1.62 |
35.89 |
0. |
0. |
0. |
20.14 |
| time (sec) |
N/A |
0.889 |
2.636 |
0.307 |
0. |
0. |
0. |
2.142 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 100 |
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 | 168 | 168 | 150 | 181 | 0 | 809 | 510 | 227 |
| normalized size |
1 |
1. |
0.89 |
1.08 |
0. |
4.82 |
3.04 |
1.35 |
| time (sec) |
N/A |
0.102 |
0.334 |
0.05 |
0. |
2.161 |
30.56 |
1.176 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 101 |
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 | 325 | 323 | 252 | 528 | 0 | 1284 | 796 | 424 |
| normalized size |
1 |
0.99 |
0.78 |
1.62 |
0. |
3.95 |
2.45 |
1.3 |
| time (sec) |
N/A |
0.664 |
0.394 |
0.062 |
0. |
2.084 |
19.693 |
1.173 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 102 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
A |
F(-2) |
A |
A |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 223 | 222 | 164 | 339 | 0 | 871 | 518 | 278 |
| normalized size |
1 |
1. |
0.74 |
1.52 |
0. |
3.91 |
2.32 |
1.25 |
| time (sec) |
N/A |
0.372 |
0.25 |
0.061 |
0. |
2.184 |
13.787 |
1.173 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 103 |
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 | 136 | 135 | 96 | 172 | 0 | 482 | 282 | 149 |
| normalized size |
1 |
0.99 |
0.71 |
1.26 |
0. |
3.54 |
2.07 |
1.1 |
| time (sec) |
N/A |
0.179 |
0.113 |
0.055 |
0. |
2.206 |
7.047 |
1.211 |
|
|
|
|
|
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| |
|
|
|
|
|
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|
|
|
| Problem 104 |
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 | 74 | 74 | 63 | 76 | 0 | 305 | 150 | 78 |
| normalized size |
1 |
1. |
0.85 |
1.03 |
0. |
4.12 |
2.03 |
1.05 |
| time (sec) |
N/A |
0.048 |
0.041 |
0.052 |
0. |
2.003 |
3.071 |
1.173 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 105 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 130 | 130 | 125 | 453 | 0 | 0 | 0 | 186 |
| normalized size |
1 |
1. |
0.96 |
3.48 |
0. |
0. |
0. |
1.43 |
| time (sec) |
N/A |
0.174 |
0.231 |
0.236 |
0. |
0. |
0. |
1.217 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 106 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
F(-1) |
F |
F(-2) |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 168 | 168 | 218 | 923 | 0 | 0 | 0 | 0 |
| normalized size |
1 |
1. |
1.3 |
5.49 |
0. |
0. |
0. |
0. |
| time (sec) |
N/A |
0.235 |
0.419 |
0.249 |
0. |
0. |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 107 |
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 | 225 | 224 | 254 | 1574 | 0 | 2209 | 0 | 1145 |
| normalized size |
1 |
1. |
1.13 |
7. |
0. |
9.82 |
0. |
5.09 |
| time (sec) |
N/A |
0.292 |
0.503 |
0.246 |
0. |
62.253 |
0. |
1.252 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 108 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
A |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 229 | 228 | 246 | 516 | 0 | 1635 | 0 | 458 |
| normalized size |
1 |
1. |
1.07 |
2.25 |
0. |
7.14 |
0. |
2. |
| time (sec) |
N/A |
0.325 |
0.503 |
0.06 |
0. |
2.206 |
0. |
1.201 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 109 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
A |
F |
A |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 149 | 149 | 177 | 327 | 0 | 1142 | 0 | 296 |
| normalized size |
1 |
1. |
1.19 |
2.19 |
0. |
7.66 |
0. |
1.99 |
| time (sec) |
N/A |
0.184 |
0.302 |
0.058 |
0. |
2.052 |
0. |
1.188 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 110 |
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 | 100 | 100 | 102 | 163 | 0 | 606 | 209 | 157 |
| normalized size |
1 |
1. |
1.02 |
1.63 |
0. |
6.06 |
2.09 |
1.57 |
| time (sec) |
N/A |
0.087 |
0.151 |
0.056 |
0. |
1.9 |
12.768 |
1.169 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 111 |
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 | 61 | 61 | 74 | 69 | 0 | 396 | 87 | 85 |
| normalized size |
1 |
1. |
1.21 |
1.13 |
0. |
6.49 |
1.43 |
1.39 |
| time (sec) |
N/A |
0.036 |
0.063 |
0.052 |
0. |
1.718 |
5.61 |
1.185 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 112 |
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 | 138 | 138 | 137 | 862 | 0 | 1431 | 0 | 397 |
| normalized size |
1 |
1. |
0.99 |
6.25 |
0. |
10.37 |
0. |
2.88 |
| time (sec) |
N/A |
0.141 |
0.203 |
0.256 |
0. |
12.217 |
0. |
1.185 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 113 |
Optimal |
Rubi |
Mathematica |
Maple |
Maxima |
Fricas |
Sympy |
Giac |
|
|
|
|
|
|
|
|
|
| grade |
A |
A |
A |
B |
F(-2) |
B |
F(-1) |
F |
| verified |
N/A |
Yes |
Yes |
TBD |
TBD |
TBD |
TBD |
TBD |
| size | 239 | 239 | 285 | 1663 | 0 | 3160 | 0 | 0 |
| normalized size |
1 |
1. |
1.19 |
6.96 |
0. |
13.22 |
0. |
0. |
| time (sec) |
N/A |
0.418 |
0.727 |
0.234 |
0. |
21.091 |
0. |
0. |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 114 |
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 | 374 | 372 | 404 | 2584 | 0 | 5783 | 0 | 1944 |
| normalized size |
1 |
0.99 |
1.08 |
6.91 |
0. |
15.46 |
0. |
5.2 |
| time (sec) |
N/A |
1.028 |
1.272 |
0.258 |
0. |
110.411 |
0. |
1.39 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 115 |
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 | 50 | 47 | 112 | 139 | 194 | 65 |
| normalized size | 1 | 1. | 0.75 | 0.7 | 1.67 | 2.07 | 2.9 | 0.97 |
| time (sec) |
N/A |
0.042 |
0.034 |
0.052 |
0.979 |
1.596 |
13.825 |
1.17 |
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
| Problem 116 |
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 | 97 | 97 | 71 | 72 | 159 | 215 | 638 | 108 |
|