formula stringlengths 13 802 | perturbation_type stringclasses 4
values | equivalent float64 0 1 | original_formula stringlengths 13 757 | depth int64 1 20 |
|---|---|---|---|---|
eventually[37,38] ( eventually[33,inf] ( eventually[6,inf] ( not ( x_0 <= 5.5891 ) ) ) ) | hybrid_complex | 0 | eventually[1,7] ( x_0 >= 0.0544 ) | 5 |
( not ( not ( always[6,inf] ( not ( x_0 >= -1.9188 ) ) ) ) until[0,inf] always[33,inf] ( x_0 <= -1.9174 ) ) | param_shift_simple | 0 | ( not ( not ( always[6,inf] ( not ( x_0 >= -1.8765 ) ) ) ) until[0,inf] always[6,inf] ( x_0 <= -1.8765 ) ) | 6 |
( ( x_0 <= 0.5207 and x_0 <= 5.8740 ) until[6,7] ( x_0 <= -4.7800 and x_0 <= -2.1010 ) ) | param_shift_simple | 0 | ( (eventually[7,13] ( ( x_0 <= 0.5362 and x_0 <= 0.5362 ) )) until[0,10] (eventually[7,13] ( ( x_0 <= 0.5362 and x_0 <= 0.5362 ) )) ) | 3 |
( not ( x_0 <= -1000.0000 ) until[1,inf] ( ( ( ( ( ( ( not ( not ( x_0 <= 0.2586 ) ) until[0,inf] not ( x_0 >= 0.2586 ) ) until[0,inf] not ( x_0 >= 0.2586 ) ) until[0,inf] not ( x_0 >= 0.2586 ) ) until[0,inf] not ( x_0 >= 0.2586 ) ) until[0,inf] not ( x_0 >= 0.2586 ) ) until[0,inf] not ( x_0 >= 0.2586 ) ) until[0,inf] ... | logic_exact | 1 | ( x_0 >= -1000.0000 until[1,inf] not ( x_0 >= 0.2586 ) ) | 11 |
not ( not ( not ( not ( x_0 >= 1.0525 ) ) ) ) | hybrid_complex | 0 | not ( not ( not ( not ( x_0 >= 1.1268 ) ) ) ) | 5 |
( ( ( ( ( not ( x_0 >= -0.3527 ) and not ( x_0 >= -4.5915 ) ) until[0,inf] ( x_0 <= -0.3500 and x_0 <= -0.2801 ) ) until[0,inf] ( x_0 <= -0.3755 and x_0 <= -2.5549 ) ) until[0,inf] ( x_0 <= 0.9673 and x_0 <= -0.2806 ) ) until[0,inf] ( x_0 <= -4.7318 and x_0 <= -4.3306 ) ) | hybrid_complex | 0 | ( x_0 <= -0.3617 and x_0 <= -0.2895 ) | 7 |
not ( ( not ( not ( x_0 >= -0.2164 ) ) or not ( ( ( ( ( x_0 >= -227.4142 until[0,inf] not ( not ( not ( x_0 <= 2.1938 ) ) ) ) until[36,inf] eventually[4,inf] ( x_0 >= 3.0088 ) ) until[34,inf] eventually[33,inf] ( x_0 >= 2.2626 ) ) until[0,inf] eventually[38,inf] ( x_0 >= -0.8122 ) ) ) ) ) | param_shift_simple | 0 | not ( ( not ( not ( x_0 >= -0.2375 ) ) or not ( ( ( ( ( x_0 >= -239.9227 until[1,inf] not ( not ( not ( x_0 <= 0.0000 ) ) ) ) until[0,inf] eventually[5,inf] ( x_0 >= -0.5899 ) ) until[0,inf] eventually[6,inf] ( x_0 >= 0.0000 ) ) until[0,inf] eventually[6,inf] ( x_0 >= -0.7913 ) ) ) ) ) | 11 |
eventually[8,inf] ( not ( not ( x_0 <= 5.3595 ) ) ) | param_shift_simple | 0 | eventually[9,inf] ( not ( not ( x_0 <= -0.6057 ) ) ) | 4 |
( always[15,22] ( not ( x_0 <= 1.3184 ) ) until[0,inf] always[2,15] ( always[0,13] ( x_0 >= -0.5667 ) ) ) | param_shift_simple | 0 | ( always[2,10] ( always[0,8] ( not ( x_0 <= 0.3981 ) ) until[0,inf] always[2,10] ( always[0,8] ( x_0 >= 0.3981 ) ) ) | 4 |
not ( not ( ( x_0 <= -1.0322 until[14,23] not ( x_0 >= -0.5035 ) ) ) ) | hybrid_complex | 0 | not ( not ( ( x_0 <= 0.2217 until[15,23] not ( x_0 >= -0.5511 ) ) ) ) | 5 |
( not ( ( not ( not ( x_0 <= 2.1866 ) ) until[0,inf] not ( x_0 >= 2.5092 ) ) ) until[0,inf] not ( not ( x_0 >= 0.3900 ) ) ) | hybrid_complex | 0 | not ( not ( x_0 >= 0.3719 ) ) | 6 |
eventually[23,24] ( x_0 >= 3.0008 ) | param_shift_simple | 0 | eventually[15,16] ( x_0 >= 0.3887 ) | 2 |
( x_0 >= -2064.3206 until[0,inf] not ( x_0 >= 0.0881 ) ) | param_shift_simple | 0 | ( x_0 >= -2059.5474 until[0,inf] not ( x_0 >= -0.6033 ) ) | 3 |
not ( not ( ( x_0 >= -1058.6051 until[0,inf] not ( x_0 >= 6.5291 ) ) ) ) | hybrid_complex | 0 | not ( not ( ( x_0 >= -1143.9867 until[0,inf] not ( x_0 >= 6.1319 ) ) ) ) | 5 |
( always[0,inf] ( x_0 >= -4.8014 ) or always[1,inf] ( x_0 >= -0.5695 ) ) | param_shift_simple | 0 | ( always[0,inf] ( x_0 >= 0.0000 ) or always[1,inf] ( x_0 >= -0.6312 ) ) | 3 |
not ( ( not ( always[0,inf] ( always[30,inf] ( not ( x_0 >= 1.7826 ) ) ) ) or not ( not ( x_0 <= 3.0472 ) ) ) ) | hybrid_complex | 0 | ( always[12,20] ( x_0 <= -0.7610 ) and x_0 >= 2.8994 ) | 7 |
eventually[0,1] ( eventually[38,39] ( eventually[0,8] ( x_0 >= -1.1807 ) ) ) | param_shift_simple | 0 | eventually[0,1] ( eventually[44,45] ( eventually[6,16] ( x_0 >= -1.2365 ) ) ) | 4 |
( ( always[45,54] ( always[59,inf] ( x_0 <= -7.1734 ) ) or always[0,20] ( x_0 >= -0.8157 ) ) until[32,33] x_0 >= -2.7207 ) | param_shift_simple | 0 | ( ( always[5,19] ( always[20,inf] ( x_0 <= -2.4424 ) ) or always[0,17] ( x_0 >= -0.9765 ) ) until[14,15] x_0 >= -1.0407 ) | 5 |
not ( always[16,19] ( not ( not ( not ( not ( x_0 >= 0.5428 ) ) ) ) ) ) | logic_exact | 1 | eventually[16,19] ( not ( not ( not ( x_0 >= 0.5428 ) ) ) ) | 7 |
always[14,inf] ( always[0,inf] ( always[13,inf] ( always[0,inf] ( always[35,inf] ( always[10,inf] ( not ( x_0 >= 1.2671 ) ) ) ) ) ) ) | hybrid_complex | 0 | always[2,19] ( always[0,15] ( always[5,8] ( x_0 <= 1.1857 ) ) ) | 8 |
( not ( eventually[0,1] ( ( ( eventually[35,49] ( x_0 >= 0.2270 ) and not ( not ( not ( ( always[7,11] ( not ( not ( x_0 >= -0.9201 ) ) ) until[0,inf] always[7,8] ( not ( x_0 <= 1.3740 ) ) ) ) ) ) ) and ( eventually[12,48] ( x_0 >= 0.7291 ) and not ( always[0,7] ( not ( x_0 <= 0.8996 ) ) ) ) ) ) ) until[0,inf] not ( ev... | hybrid_complex | 0 | ( not ( eventually[0,1] ( ( ( eventually[6,20] ( x_0 >= 0.2093 ) and not ( not ( not ( ( always[7,14] ( not ( not ( x_0 >= 0.5815 ) ) ) until[0,inf] always[7,8] ( not ( x_0 <= 2.0251 ) ) ) ) ) ) ) and ( eventually[11,44] ( x_0 >= 0.7107 ) and not ( always[9,14] ( not ( x_0 <= 0.8267 ) ) ) ) ) ) ) until[0,inf] not ( eve... | 13 |
( ( ( not ( not ( x_0 <= 0.8432 ) ) until[0,inf] not ( x_0 >= 0.8432 ) ) until[0,inf] not ( x_0 >= 0.8432 ) ) until[0,inf] not ( x_0 >= 0.8432 ) ) | logic_exact | 1 | not ( x_0 >= 0.8432 ) | 6 |
not ( not ( not ( not ( ( ( always[1,10] ( ( ( ( x_0 >= -998.6505 until[0,inf] not ( x_0 >= 2.9297 ) ) until[18,inf] eventually[6,inf] ( x_0 <= -2.9672 ) ) until[0,inf] eventually[5,inf] ( x_0 <= 5.1113 ) ) ) and not ( not ( not ( not ( x_0 >= -0.6276 ) ) ) ) ) and ( always[1,9] ( eventually[0,inf] ( x_0 <= 0.6587 ) ) ... | param_shift_simple | 0 | not ( not ( not ( not ( ( ( always[2,16] ( ( ( ( x_0 >= -1000.0000 until[1,inf] not ( x_0 >= 0.6732 ) ) until[0,inf] eventually[6,inf] ( x_0 <= 0.6732 ) ) until[0,inf] eventually[6,inf] ( x_0 <= 0.6732 ) ) ) and not ( not ( not ( not ( x_0 >= -0.5858 ) ) ) ) ) and ( always[2,16] ( eventually[6,inf] ( x_0 <= 0.6732 ) ) ... | 12 |
not ( eventually[1,6] ( x_0 <= 1.2676 ) ) | param_shift_simple | 0 | not ( eventually[2,6] ( x_0 <= 1.372 ) ) | 3 |
( ( always[0,19] ( not ( not ( x_0 <= -1.9937 ) ) ) until[0,inf] always[0,19] ( not ( x_0 >= -1.9937 ) ) ) until[0,inf] always[0,19] ( not ( x_0 >= -1.9937 ) ) ) | logic_exact | 1 | always[0,19] ( not ( x_0 >= -1.9937 ) ) | 6 |
not ( not ( ( x_0 <= 4.5968 until[8,18] x_0 >= 0.4141 ) ) ) | param_shift_simple | 0 | not ( not ( ( x_0 <= -0.7518 until[9,18] x_0 >= 0.4498 ) ) ) | 4 |
( not ( eventually[11,12] ( not ( x_0 >= 0.0000 ) ) ) until[33,34] not ( eventually[36,37] ( not ( x_0 >= 0.1085 ) ) ) ) | param_shift_simple | 0 | ( not ( eventually[12,13] ( not ( x_0 >= 0.0000 ) ) ) until[0,1] not ( eventually[9,10] ( not ( x_0 >= 0.1205 ) ) ) ) | 5 |
always[0,29] ( not ( x_0 >= -2.7252 ) ) | param_shift_simple | 0 | always[0,22] ( not ( x_0 >= 0.3573 ) ) | 3 |
not ( not ( not ( not ( not ( not ( not ( eventually[25,40] ( not ( not ( not ( not ( not ( x_0 <= 5.6317 ) ) ) ) ) ) ) ) ) ) ) ) ) | hybrid_complex | 0 | not ( not ( not ( not ( not ( not ( always[0,13] ( not ( not ( not ( not ( x_0 <= 0.2147 ) ) ) ) ) ) ) ) ) ) ) | 14 |
eventually[0,1] ( not ( x_0 >= -2.3071 ) ) | param_shift_simple | 0 | eventually[0,1] ( not ( x_0 >= -2.1696 ) ) | 3 |
not ( x_0 <= -5.2597 ) | param_shift_simple | 0 | not ( x_0 <= -0.0070 ) | 2 |
( ( ( ( ( ( ( not ( not ( x_0 <= -0.2265 ) ) until[0,inf] not ( x_0 >= -0.2265 ) ) until[0,inf] not ( x_0 >= -0.2265 ) ) until[0,inf] not ( x_0 >= -0.2265 ) ) until[0,inf] not ( x_0 >= -0.2265 ) ) until[0,inf] not ( x_0 >= -0.2265 ) ) until[0,inf] not ( x_0 >= -0.2265 ) ) until[0,inf] not ( x_0 >= -0.2265 ) ) | logic_exact | 1 | not ( x_0 >= -0.2265 ) | 10 |
always[22,23] ( not ( not ( not ( x_0 <= 4.7063 ) ) ) ) | param_shift_simple | 0 | always[24,25] ( not ( not ( not ( x_0 <= 4.5118 ) ) ) ) | 5 |
( ( not ( not ( x_0 >= 2.9631 ) ) until[0,inf] not ( x_0 <= -0.5067 ) ) until[0,inf] not ( x_0 <= 3.5153 ) ) | hybrid_complex | 0 | ( ( not ( not ( x_0 >= -0.4707 ) ) until[0,inf] not ( x_0 <= -0.4707 ) ) until[0,inf] not ( x_0 <= -0.4707 ) ) | 5 |
not ( not ( ( x_0 <= -0.0528 or x_0 <= 0.6825 ) ) ) | param_shift_simple | 0 | not ( not ( ( x_0 <= -0.0503 or x_0 <= -0.1214 ) ) ) | 4 |
( always[0,inf] ( always[14,inf] ( not ( x_0 >= 0.4115 ) ) ) until[0,inf] always[0,1] ( x_0 <= 0.3831 ) ) | hybrid_complex | 0 | always[1,3] ( x_0 <= 0.3998 ) | 5 |
eventually[39,40] ( not ( x_0 >= 0.0116 ) ) | param_shift_simple | 0 | eventually[0,1] ( not ( x_0 >= 0.0118 ) ) | 3 |
not ( not ( not ( ( always[0,1] ( eventually[20,42] ( ( ( ( ( x_0 >= 0.0000 until[0,inf] ( not ( not ( x_0 <= -0.0058 ) ) until[0,inf] not ( x_0 >= -3.7845 ) ) ) until[0,inf] eventually[50,51] ( not ( x_0 >= -0.0025 ) ) ) until[31,inf] eventually[0,44] ( not ( x_0 >= 4.7077 ) ) ) until[0,inf] eventually[14,25] ( not ( ... | hybrid_complex | 0 | not ( not ( not ( ( always[0,1] ( eventually[5,22] ( ( ( ( ( x_0 >= 0.0000 until[0,inf] ( not ( not ( x_0 <= -0.0060 ) ) until[0,inf] not ( x_0 >= -0.0021 ) ) ) until[0,inf] eventually[16,17] ( not ( x_0 >= -0.0027 ) ) ) until[0,inf] eventually[0,66] ( not ( x_0 >= -0.0070 ) ) ) until[0,inf] eventually[14,21] ( not ( x... | 14 |
not ( not ( not ( eventually[0,31] ( not ( ( eventually[12,14] ( not ( x_0 >= 0.0000 ) ) until[0,inf] eventually[10,14] ( x_0 <= -1.9955 ) ) ) ) ) ) ) | hybrid_complex | 0 | not ( not ( not ( eventually[0,18] ( not ( ( eventually[14,16] ( not ( x_0 >= 0.0000 ) ) until[0,inf] eventually[10,13] ( x_0 <= 0.0000 ) ) ) ) ) ) ) | 9 |
eventually[2,21] ( eventually[16,28] ( eventually[13,16] ( always[32,33] ( ( ( ( ( always[11,17] ( not ( x_0 <= -0.8241 ) ) until[0,inf] always[11,18] ( x_0 >= -0.8605 ) ) until[40,inf] always[11,18] ( x_0 >= 3.2827 ) ) until[0,inf] always[10,18] ( x_0 >= -2.6773 ) ) until[30,inf] always[33,40] ( x_0 >= -0.8347 ) ) ) )... | hybrid_complex | 0 | eventually[4,19] ( eventually[3,10] ( eventually[14,18] ( always[0,1] ( ( ( ( ( always[11,16] ( not ( x_0 <= -0.9017 ) ) until[0,inf] always[11,16] ( x_0 >= -0.9017 ) ) until[0,inf] always[11,16] ( x_0 >= -0.9017 ) ) until[0,inf] always[11,16] ( x_0 >= -0.9017 ) ) until[0,inf] always[11,16] ( x_0 >= -0.9017 ) ) ) ) ) ) | 11 |
( eventually[12,15] ( not ( x_0 >= 0.0000 ) ) until[4,5] ( not ( not ( x_0 <= -3.0015 ) ) until[39,inf] not ( x_0 >= -0.3537 ) ) ) | hybrid_complex | 0 | ( eventually[13,17] ( not ( x_0 >= 0.0000 ) ) until[4,5] ( not ( not ( x_0 <= -0.7548 ) ) until[0,inf] not ( x_0 >= -0.5776 ) ) ) | 5 |
not ( not ( not ( not ( x_0 >= -3.3010 ) ) ) ) | param_shift_simple | 0 | not ( not ( not ( not ( x_0 >= -1.2647 ) ) ) ) | 5 |
always[8,13] ( x_0 >= -1.4105 ) | param_shift_simple | 0 | always[18,21] ( x_0 >= -0.0832 ) | 2 |
( ( ( ( not ( not ( x_0 <= 0.8380 ) ) until[4,inf] not ( x_0 >= 6.7302 ) ) until[0,inf] not ( x_0 >= 1.8226 ) ) until[0,inf] not ( x_0 >= 0.8268 ) ) until[33,inf] not ( x_0 >= 2.2377 ) ) | hybrid_complex | 0 | not ( x_0 >= 0.7666 ) | 7 |
not ( not ( always[8,9] ( not ( x_0 <= -0.2407 ) ) ) ) | param_shift_simple | 0 | not ( not ( always[8,10] ( not ( x_0 <= -0.2611 ) ) ) ) | 5 |
not ( x_0 <= -0.3945 ) | param_shift_simple | 0 | not ( x_0 <= -0.3628 ) | 2 |
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