Annotation of OpenXM/src/phc/sample-out2.txt, Revision 1.1
1.1 ! takayama 1: 2
! 2: x^2+y^2-4;
! 3: x*y-1;
! 4:
! 5: ROOT COUNTS :
! 6:
! 7: total degree : 4
! 8: 1-homogeneous Bezout number : 4
! 9: with partition : { x y }
! 10: general linear-product Bezout number : 4
! 11: based on the set structure :
! 12: { x y }{ x y }
! 13: { x }{ y }
! 14: mixed volume : 4
! 15: stable mixed volume : 4
! 16:
! 17: TIMING INFORMATION for Root Counting
! 18: The elapsed time in seconds was 0.002645000 = 0h 0m 0s 3ms
! 19: User time in seconds was 0.000525000 = 0h 0m 0s 1ms
! 20: System CPU time in seconds was 0.002120000 = 0h 0m 0s 2ms
! 21: Non-I/O page faults was 3
! 22: I/O page faults was 78
! 23: Signals delivered was 0
! 24: Swaps was 0
! 25: Total context switches was 18
! 26:
! 27: START SYSTEM BASED ON TOTAL DEGREE :
! 28:
! 29: 2
! 30:
! 31: +1*x^2
! 32: +(-7.17217976217691E-01 - 6.96848889351343E-01*i);
! 33:
! 34: +1*y^2
! 35: +( 5.69940499123200E-01 - 8.21685966448982E-01*i);
! 36:
! 37: START SOLUTIONS :
! 38:
! 39: 4 2
! 40: ===========================================================================
! 41: solution 1 :
! 42: t : 0.00000000000000E+00 0.00000000000000E+00
! 43: m : 1
! 44: the solution for t :
! 45: x : -9.26611562688943E-01 -3.76019962091316E-01
! 46: y : -4.63713004387843E-01 -8.85985468030712E-01
! 47: == err : 0.000E+00 = rco : 1.000E+00 = res : 0.000E+00 ==
! 48: solution 2 :
! 49: t : 0.00000000000000E+00 0.00000000000000E+00
! 50: m : 1
! 51: the solution for t :
! 52: x : -9.26611562688943E-01 -3.76019962091316E-01
! 53: y : 4.63713004387844E-01 8.85985468030712E-01
! 54: == err : 0.000E+00 = rco : 1.000E+00 = res : 0.000E+00 ==
! 55: solution 3 :
! 56: t : 0.00000000000000E+00 0.00000000000000E+00
! 57: m : 1
! 58: the solution for t :
! 59: x : 9.26611562688943E-01 3.76019962091316E-01
! 60: y : -4.63713004387843E-01 -8.85985468030712E-01
! 61: == err : 0.000E+00 = rco : 1.000E+00 = res : 0.000E+00 ==
! 62: solution 4 :
! 63: t : 0.00000000000000E+00 0.00000000000000E+00
! 64: m : 1
! 65: the solution for t :
! 66: x : 9.26611562688943E-01 3.76019962091316E-01
! 67: y : 4.63713004387844E-01 8.85985468030712E-01
! 68: == err : 0.000E+00 = rco : 1.000E+00 = res : 0.000E+00 ==
! 69:
! 70: TIMING INFORMATION for Construction of Start System
! 71: The elapsed time in seconds was 0.000323000 = 0h 0m 0s 0ms
! 72: User time in seconds was 0.000063000 = 0h 0m 0s 0ms
! 73: System CPU time in seconds was 0.000260000 = 0h 0m 0s 0ms
! 74: Non-I/O page faults was 0
! 75: I/O page faults was 6
! 76: Signals delivered was 0
! 77: Swaps was 0
! 78: Total context switches was 2
! 79:
! 80: HOMOTOPY PARAMETERS :
! 81: k : 2
! 82: gamma : 8.41612399095819E-01 -5.40082002744194E-01
! 83: t : 1.00000000000000E+00 0.00000000000000E+00
! 84: no projective transformation
! 85:
! 86: ****************** CURRENT CONTINUATION PARAMETERS *****************
! 87: GLOBAL MONITOR :
! 88: 1. the condition of the homotopy : 0
! 89: 2. number of paths tracked simultaneously : 1
! 90: 3. maximum number of steps along a path : 500
! 91: 4. distance from target to start end game : 1.000E-01
! 92: 5. order of extrapolator in end game : 0
! 93: 6. maximum number of re-runs : 1
! 94: STEP CONTROL (PREDICTOR) : along path : end game
! 95: 7: 8. type ( x:Cub,t:Rea ):( x:Cub,t:Rea ) : 8 : 8
! 96: 9:10. minimum step size : 1.000E-06 : 1.000E-08
! 97: 11:12. maximum step size : 1.000E-01 : 1.000E-02
! 98: 13:14. reduction factor for step size : 7.000E-01 : 5.000E-01
! 99: 15:16. expansion factor for step size : 1.250E+00 : 1.100E+00
! 100: 17:18. expansion threshold : 1 : 3
! 101: PATH CLOSENESS (CORRECTOR) : along path : end game
! 102: 19:20. maximum number of iterations : 3 : 3
! 103: 21:22. relative precision for residuals : 1.000E-09 : 1.000E-11
! 104: 23:24. absolute precision for residuals : 1.000E-09 : 1.000E-11
! 105: 25:26. relative precision for corrections : 1.000E-09 : 1.000E-11
! 106: 27:28. absolute precision for corrections : 1.000E-09 : 1.000E-11
! 107: SOLUTION TOLERANCES : along path : end game
! 108: 29:30. inverse condition of Jacobian : 1.000E-04 : 1.000E-12
! 109: 31:32. clustering of solutions : 1.000E-04 : 1.000E-12
! 110: 33:34. solution at infinity : 1.000E+08 : 1.000E+12
! 111: ********************************************************************
! 112:
! 113: THE SOLUTIONS :
! 114: 4 2
! 115: ===========================================================================
! 116: == 1 = #step : 10 #fail : 0 #iter : 31 = regular solution ==
! 117: t : 1.00000000000000E+00 0.00000000000000E+00
! 118: m : 1 Length of path : 4.55615676505241E-01
! 119: the solution for t :
! 120: x : -1.93185165257814E+00 4.48415508583941E-44
! 121: y : -5.17638090205041E-01 0.00000000000000E+00
! 122: == err : 9.065E-17 = rco : 5.774E-01 = res : 2.220E-16 ==
! 123: == 2 = #step : 24 #fail : 4 #iter : 67 = regular solution ==
! 124: t : 1.00000000000000E+00 0.00000000000000E+00
! 125: m : 1 Length of path : 4.00645258285465E+00
! 126: the solution for t :
! 127: x : 5.17638090205041E-01 3.40156822331300E-27
! 128: y : 1.93185165257814E+00 -3.30690491468648E-27
! 129: == err : 1.118E-13 = rco : 5.774E-01 = res : 1.388E-16 ==
! 130: == 3 = #step : 24 #fail : 4 #iter : 67 = regular solution ==
! 131: t : 1.00000000000000E+00 0.00000000000000E+00
! 132: m : 1 Length of path : 4.00645258285465E+00
! 133: the solution for t :
! 134: x : -5.17638090205041E-01 -3.40156822331300E-27
! 135: y : -1.93185165257814E+00 3.30690491468648E-27
! 136: == err : 1.118E-13 = rco : 5.774E-01 = res : 1.388E-16 ==
! 137: == 4 = #step : 10 #fail : 0 #iter : 31 = regular solution ==
! 138: t : 1.00000000000000E+00 0.00000000000000E+00
! 139: m : 1 Length of path : 4.55615676505240E-01
! 140: the solution for t :
! 141: x : 1.93185165257814E+00 -4.48415508583941E-44
! 142: y : 5.17638090205041E-01 0.00000000000000E+00
! 143: == err : 9.065E-17 = rco : 5.774E-01 = res : 2.220E-16 ==
! 144: == #regu : 4 = #sing : 0 = #clus : 0 = #infi : 0 = #fail : 0 ==
! 145:
! 146: TIMING INFORMATION for continuation
! 147: The elapsed time in seconds was 0.001862000 = 0h 0m 0s 2ms
! 148: User time in seconds was 0.000768000 = 0h 0m 0s 1ms
! 149: System CPU time in seconds was 0.001094000 = 0h 0m 0s 1ms
! 150: Non-I/O page faults was 1
! 151: I/O page faults was 26
! 152: Signals delivered was 0
! 153: Swaps was 0
! 154: Total context switches was 9
! 155:
! 156: THE SOLUTIONS :
! 157:
! 158: 4 2
! 159: ===========================================================================
! 160: solution 1 : start residual : 3.331E-16 #iterations : 1 success
! 161: t : 1.00000000000000E+00 0.00000000000000E+00
! 162: m : 1
! 163: the solution for t :
! 164: x : -1.93185165257814E+00 -4.36015087616835E-106
! 165: y : -5.17638090205042E-01 4.36015087616835E-106
! 166: == err : 2.355E-16 = rco : 5.774E-01 = res : 2.220E-16 = real regular ==
! 167: solution 2 : start residual : 2.498E-16 #iterations : 1 success
! 168: t : 1.00000000000000E+00 0.00000000000000E+00
! 169: m : 1
! 170: the solution for t :
! 171: x : 5.17638090205041E-01 -1.25672792711622E-88
! 172: y : 1.93185165257814E+00 0.00000000000000E+00
! 173: == err : 1.700E-16 = rco : 5.774E-01 = res : 2.498E-16 = real regular ==
! 174: solution 3 : start residual : 2.498E-16 #iterations : 1 success
! 175: t : 1.00000000000000E+00 0.00000000000000E+00
! 176: m : 1
! 177: the solution for t :
! 178: x : -5.17638090205041E-01 1.25672792711622E-88
! 179: y : -1.93185165257814E+00 0.00000000000000E+00
! 180: == err : 1.700E-16 = rco : 5.774E-01 = res : 2.498E-16 = real regular ==
! 181: solution 4 : start residual : 3.331E-16 #iterations : 1 success
! 182: t : 1.00000000000000E+00 0.00000000000000E+00
! 183: m : 1
! 184: the solution for t :
! 185: x : 1.93185165257814E+00 4.36015087616835E-106
! 186: y : 5.17638090205042E-01 -4.36015087616835E-106
! 187: == err : 2.355E-16 = rco : 5.774E-01 = res : 2.220E-16 = real regular ==
! 188: ===========================================================================
! 189: A list of 4 solutions has been refined :
! 190: Number of regular solutions : 4.
! 191: Number of singular solutions : 0.
! 192: Number of real solutions : 4.
! 193: Number of complex solutions : 0.
! 194: Number of clustered solutions : 0.
! 195: Number of solutions at infinity : 0.
! 196: Number of failures : 0.
! 197: ===========================================================================
! 198: Frequency tables for correction, residual, and condition numbers :
! 199: FreqCorr : 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 : 4
! 200: FreqResi : 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 : 4
! 201: FreqCond : 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 : 4
! 202: Small correction terms and residuals counted to the right.
! 203: Well conditioned and distinct roots counted to the left.
! 204:
! 205: TIMING INFORMATION for Solving the polynomial system
! 206: The elapsed time in seconds was 0.008745000 = 0h 0m 0s 9ms
! 207: User time in seconds was 0.002738000 = 0h 0m 0s 3ms
! 208: System CPU time in seconds was 0.006007000 = 0h 0m 0s 6ms
! 209: Non-I/O page faults was 13
! 210: I/O page faults was 198
! 211: Signals delivered was 0
! 212: Swaps was 0
! 213: Total context switches was 52
! 214:
! 215: ---------------------------------------------------------------------
! 216: | TIMING INFORMATION SUMMARY |
! 217: ---------------------------------------------------------------------
! 218: | root counts | start system | continuation | total time |
! 219: ---------------------------------------------------------------------
! 220: | 0h 0m 0s 1ms | 0h 0m 0s 0ms | 0h 0m 0s 1ms | 0h 0m 0s 3ms |
! 221: ---------------------------------------------------------------------
! 222: PHC ran from 1 January 2019, 15:42:47 till 1 January 2019, 15:42:47.
! 223: The total elapsed wall clock time is 0.039 seconds
! 224: = 39 milliseconds.
! 225: No multitasking was used in this run.
! 226: Seed used in random number generators : 7741.
! 227: PHCv2.4.63 released 2018-12-28
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