32.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (sqrt (+ (* re re) (* im im))) 0.020 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.021 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.022 * * [simplify]: iteration done : 7 enodes (cost 8 ) 0.022 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.040 * * * [progress]: generating series expansions 0.040 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.040 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.040 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.040 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.040 * [taylor]: Taking taylor expansion of im in im 0.040 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.040 * [taylor]: Taking taylor expansion of re in im 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.041 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.041 * [taylor]: Taking taylor expansion of im in re 0.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.041 * [taylor]: Taking taylor expansion of re in re 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.041 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.041 * [taylor]: Taking taylor expansion of im in re 0.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.041 * [taylor]: Taking taylor expansion of re in re 0.041 * [taylor]: Taking taylor expansion of im in im 0.041 * [taylor]: Taking taylor expansion of 0 in im 0.042 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.042 * [taylor]: Taking taylor expansion of 1/2 in im 0.042 * [taylor]: Taking taylor expansion of im in im 0.042 * [taylor]: Taking taylor expansion of 0 in im 0.042 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.042 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.042 * [taylor]: Taking taylor expansion of im in im 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.042 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.042 * [taylor]: Taking taylor expansion of re in im 0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.043 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.043 * [taylor]: Taking taylor expansion of im in re 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.043 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.043 * [taylor]: Taking taylor expansion of re in re 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.043 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.043 * [taylor]: Taking taylor expansion of im in re 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.043 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.043 * [taylor]: Taking taylor expansion of re in re 0.043 * [taylor]: Taking taylor expansion of 1 in im 0.043 * [taylor]: Taking taylor expansion of 0 in im 0.044 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.044 * [taylor]: Taking taylor expansion of 1/2 in im 0.044 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.044 * [taylor]: Taking taylor expansion of im in im 0.044 * [taylor]: Taking taylor expansion of 0 in im 0.045 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.045 * [taylor]: Taking taylor expansion of im in im 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.045 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.045 * [taylor]: Taking taylor expansion of re in im 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.045 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.045 * [taylor]: Taking taylor expansion of im in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.045 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.045 * [taylor]: Taking taylor expansion of re in re 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.045 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.045 * [taylor]: Taking taylor expansion of im in re 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.046 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.046 * [taylor]: Taking taylor expansion of re in re 0.046 * [taylor]: Taking taylor expansion of 1 in im 0.046 * [taylor]: Taking taylor expansion of 0 in im 0.046 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.046 * [taylor]: Taking taylor expansion of 1/2 in im 0.046 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.046 * [taylor]: Taking taylor expansion of im in im 0.047 * [taylor]: Taking taylor expansion of 0 in im 0.047 * * * [progress]: simplifying candidates 0.047 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) 0.048 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.049 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 0.050 * * [simplify]: iteration done : 8 enodes (cost 9 ) 0.050 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.051 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 0.052 * * [simplify]: iteration done : 8 enodes (cost 9 ) 0.053 * * [simplify]: iteration 0 : 8 enodes (cost 19 ) 0.053 * * [simplify]: iteration 1 : 9 enodes (cost 19 ) 0.054 * * [simplify]: iteration done : 9 enodes (cost 19 ) 0.055 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.056 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 0.057 * * [simplify]: iteration done : 8 enodes (cost 9 ) 0.057 * * [simplify]: iteration 0 : 8 enodes (cost 26 ) 0.059 * * [simplify]: iteration 1 : 10 enodes (cost 16 ) 0.060 * * [simplify]: iteration 2 : 21 enodes (cost 10 ) 0.063 * * [simplify]: iteration 3 : 34 enodes (cost 10 ) 0.068 * * [simplify]: iteration 4 : 42 enodes (cost 10 ) 0.073 * * [simplify]: iteration 5 : 52 enodes (cost 10 ) 0.079 * * [simplify]: iteration 6 : 73 enodes (cost 10 ) 0.092 * * [simplify]: iteration 7 : 134 enodes (cost 10 ) 0.143 * * [simplify]: iteration 8 : 350 enodes (cost 10 ) 0.604 * * [simplify]: iteration 9 : 1295 enodes (cost 10 ) 2.889 * * [simplify]: iteration done : 5000 enodes (cost 10 ) 2.890 * * [simplify]: iteration 0 : 8 enodes (cost 18 ) 2.891 * * [simplify]: iteration 1 : 10 enodes (cost 9 ) 2.892 * * [simplify]: iteration done : 10 enodes (cost 9 ) 2.892 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 2.893 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 2.894 * * [simplify]: iteration done : 8 enodes (cost 9 ) 2.895 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 2.896 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 2.896 * * [simplify]: iteration done : 8 enodes (cost 9 ) 2.897 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 2.898 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 2.902 * * [simplify]: iteration done : 8 enodes (cost 9 ) 2.903 * * [simplify]: iteration 0 : 2 enodes (cost 2 ) 2.903 * * [simplify]: iteration 1 : 4 enodes (cost 1 ) 2.903 * * [simplify]: iteration done : 4 enodes (cost 1 ) 2.904 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 2.905 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 2.906 * * [simplify]: iteration done : 7 enodes (cost 8 ) 2.906 * * [simplify]: iteration 0 : 9 enodes (cost 12 ) 2.908 * * [simplify]: iteration 1 : 27 enodes (cost 12 ) 2.912 * * [simplify]: iteration 2 : 64 enodes (cost 8 ) 2.924 * * [simplify]: iteration 3 : 119 enodes (cost 8 ) 2.948 * * [simplify]: iteration 4 : 261 enodes (cost 8 ) 3.052 * * [simplify]: iteration 5 : 697 enodes (cost 8 ) 3.599 * * [simplify]: iteration 6 : 2312 enodes (cost 8 ) 4.929 * * [simplify]: iteration done : 5000 enodes (cost 8 ) 4.930 * * [simplify]: iteration 0 : 10 enodes (cost 24 ) 4.931 * * [simplify]: iteration 1 : 32 enodes (cost 20 ) 4.938 * * [simplify]: iteration 2 : 84 enodes (cost 18 ) 4.961 * * [simplify]: iteration 3 : 177 enodes (cost 16 ) 5.002 * * [simplify]: iteration 4 : 309 enodes (cost 16 ) 5.107 * * [simplify]: iteration 5 : 723 enodes (cost 16 ) 5.649 * * [simplify]: iteration 6 : 1972 enodes (cost 16 ) 6.812 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 6.812 * * [simplify]: iteration 0 : 8 enodes (cost 16 ) 6.814 * * [simplify]: iteration 1 : 21 enodes (cost 16 ) 6.817 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 6.828 * * [simplify]: iteration 3 : 90 enodes (cost 8 ) 6.844 * * [simplify]: iteration 4 : 215 enodes (cost 8 ) 6.914 * * [simplify]: iteration 5 : 576 enodes (cost 8 ) 7.170 * * [simplify]: iteration 6 : 1483 enodes (cost 8 ) 8.362 * * [simplify]: iteration done : 5001 enodes (cost 8 ) 8.362 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 8.363 * * [simplify]: iteration 1 : 11 enodes (cost 8 ) 8.364 * * [simplify]: iteration 2 : 18 enodes (cost 8 ) 8.367 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 8.372 * * [simplify]: iteration 4 : 58 enodes (cost 8 ) 8.383 * * [simplify]: iteration 5 : 99 enodes (cost 8 ) 8.408 * * [simplify]: iteration 6 : 157 enodes (cost 8 ) 8.459 * * [simplify]: iteration 7 : 325 enodes (cost 8 ) 9.158 * * [simplify]: iteration 8 : 1570 enodes (cost 8 ) 15.435 * * [simplify]: iteration done : 5000 enodes (cost 8 ) 15.435 * * [simplify]: iteration 0 : 3 enodes (cost 3 ) 15.436 * * [simplify]: iteration 1 : 6 enodes (cost 1 ) 15.436 * * [simplify]: iteration done : 6 enodes (cost 1 ) 15.437 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 15.438 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 15.443 * * [simplify]: iteration done : 8 enodes (cost 9 ) 15.444 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 15.445 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 15.446 * * [simplify]: iteration done : 8 enodes (cost 9 ) 15.446 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 15.446 * * [simplify]: iteration done : 1 enodes (cost 1 ) 15.447 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 15.447 * * [simplify]: iteration done : 1 enodes (cost 1 ) 15.447 * * [simplify]: iteration 0 : 3 enodes (cost 3 ) 15.448 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 15.448 * * [simplify]: iteration done : 5 enodes (cost 2 ) 15.449 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow re 6) (pow im 6))) (sqrt (- (pow im 4) (* (* re re) (- (* im im) (* re re))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (neg re) 15.449 * * * [progress]: adding candidates to table 15.473 * * [progress]: iteration 2 / 4 15.474 * * * [progress]: picking best candidate 15.479 * * * * [pick]: Picked # 15.480 * * * [progress]: localizing error 15.480 * * * [progress]: generating rewritten candidates 15.480 * * * [progress]: generating series expansions 15.480 * * * [progress]: simplifying candidates 15.480 * [simplify]: Simplifying using # : 15.480 * [simplify]: Simplified to: 15.481 * * * [progress]: adding candidates to table 15.481 * * [progress]: iteration 3 / 4 15.481 * * * [progress]: picking best candidate 15.485 * * * * [pick]: Picked # 15.485 * * * [progress]: localizing error 15.486 * * * [progress]: generating rewritten candidates 15.486 * * * [progress]: generating series expansions 15.486 * * * [progress]: simplifying candidates 15.487 * [simplify]: Simplifying using # : 15.487 * [simplify]: Simplified to: 15.487 * * * [progress]: adding candidates to table 15.487 * * [progress]: iteration 4 / 4 15.487 * * * [progress]: picking best candidate 15.489 * * * * [pick]: Picked # 15.489 * * * [progress]: localizing error 15.490 * * * [progress]: generating rewritten candidates 15.490 * * * [progress]: generating series expansions 15.490 * * * [progress]: simplifying candidates 15.490 * [simplify]: Simplifying using # : 15.490 * [simplify]: Simplified to: 15.490 * * * [progress]: adding candidates to table 15.491 * [progress]: [Phase 3 of 3] Extracting. 15.491 * * [regime]: Finding splitpoints for: (# # # #) 15.491 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 15.491 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 15.532 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 15.568 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 15.611 * * * * [regimes]: Trying to branch on (* re re) from (# #) 15.648 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 15.691 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 15.739 * * * * [regimes]: Trying to branch on im from (# # # #) 15.793 * * * * [regimes]: Trying to branch on re from (# # # #) 15.852 * * * [regime]: Found split indices: #