12.195 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) 0.018 * * [simplify]: iteration 0 : 8 enodes (cost 5 ) 0.019 * * [simplify]: iteration 1 : 8 enodes (cost 5 ) 0.020 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.032 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.037 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.037 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.037 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.037 * [taylor]: Taking taylor expansion of re in im 0.037 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.037 * [taylor]: Taking taylor expansion of im in im 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.038 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.038 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.038 * [taylor]: Taking taylor expansion of re in re 0.038 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.038 * [taylor]: Taking taylor expansion of im in re 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.039 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.039 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.039 * [taylor]: Taking taylor expansion of re in re 0.039 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.039 * [taylor]: Taking taylor expansion of im in re 0.039 * [taylor]: Taking taylor expansion of im in im 0.039 * [taylor]: Taking taylor expansion of 0 in im 0.041 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.041 * [taylor]: Taking taylor expansion of 1/2 in im 0.041 * [taylor]: Taking taylor expansion of im in im 0.043 * [taylor]: Taking taylor expansion of 0 in im 0.043 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.043 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.043 * [taylor]: Taking taylor expansion of im in im 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.044 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.044 * [taylor]: Taking taylor expansion of re in im 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.046 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.046 * [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 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.052 * [taylor]: Taking taylor expansion of im in re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.052 * [taylor]: Taking taylor expansion of re in re 0.054 * [taylor]: Taking taylor expansion of 1 in im 0.055 * [taylor]: Taking taylor expansion of 0 in im 0.057 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.057 * [taylor]: Taking taylor expansion of 1/2 in im 0.057 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.057 * [taylor]: Taking taylor expansion of im in im 0.060 * [taylor]: Taking taylor expansion of 0 in im 0.061 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.061 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.061 * [taylor]: Taking taylor expansion of im in im 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.062 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.062 * [taylor]: Taking taylor expansion of re in im 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.064 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.064 * [taylor]: Taking taylor expansion of im in re 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.064 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.064 * [taylor]: Taking taylor expansion of re in re 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.067 * [taylor]: Taking taylor expansion of im in re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.067 * [taylor]: Taking taylor expansion of re in re 0.070 * [taylor]: Taking taylor expansion of 1 in im 0.070 * [taylor]: Taking taylor expansion of 0 in im 0.072 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.072 * [taylor]: Taking taylor expansion of 1/2 in im 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.076 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.076 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.076 * [taylor]: Taking taylor expansion of re in im 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.076 * [taylor]: Taking taylor expansion of im in im 0.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.076 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of 0 in im 0.078 * [taylor]: Taking taylor expansion of 1 in im 0.079 * [taylor]: Taking taylor expansion of 0 in im 0.081 * [taylor]: Taking taylor expansion of 0 in im 0.081 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.082 * [taylor]: Taking taylor expansion of re in im 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.082 * [taylor]: Taking taylor expansion of im in re 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.082 * [taylor]: Taking taylor expansion of re in re 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.083 * [taylor]: Taking taylor expansion of im in re 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.084 * [taylor]: Taking taylor expansion of 1 in im 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.086 * [taylor]: Taking taylor expansion of im in im 0.088 * [taylor]: Taking taylor expansion of 0 in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.092 * [taylor]: Taking taylor expansion of im in im 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.092 * [taylor]: Taking taylor expansion of re in im 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.093 * [taylor]: Taking taylor expansion of re in re 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.093 * [taylor]: Taking taylor expansion of re in re 0.094 * [taylor]: Taking taylor expansion of 1 in im 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.096 * [taylor]: Taking taylor expansion of im in im 0.098 * [taylor]: Taking taylor expansion of 0 in im 0.101 * [taylor]: Taking taylor expansion of 0 in im 0.102 * * * [progress]: simplifying candidates 0.102 * [simplify]: Simplifying using # : (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))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.105 * * [simplify]: iteration 0 : 74 enodes (cost 64 ) 0.107 * * [simplify]: iteration 1 : 287 enodes (cost 60 ) 0.111 * * [simplify]: iteration 2 : 729 enodes (cost 60 ) 0.127 * * [simplify]: iteration 3 : 2796 enodes (cost 60 ) 0.206 * * [simplify]: iteration 4 : 5001 enodes (cost 60 ) 0.207 * [simplify]: Simplified to: (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))) (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4))) (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.207 * * * [progress]: adding candidates to table 0.240 * * [progress]: iteration 2 / 4 0.240 * * * [progress]: picking best candidate 0.244 * * * * [pick]: Picked # 0.244 * * * [progress]: localizing error 0.248 * * * [progress]: generating rewritten candidates 0.248 * * * [progress]: generating series expansions 0.248 * * * [progress]: simplifying candidates 0.248 * [simplify]: Simplifying using # : 0.250 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.250 * [simplify]: Simplified to: 0.250 * * * [progress]: adding candidates to table 0.250 * * [progress]: iteration 3 / 4 0.250 * * * [progress]: picking best candidate 0.253 * * * * [pick]: Picked # 0.253 * * * [progress]: localizing error 0.255 * * * [progress]: generating rewritten candidates 0.255 * * * [progress]: generating series expansions 0.255 * * * [progress]: simplifying candidates 0.255 * [simplify]: Simplifying using # : 0.258 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.258 * [simplify]: Simplified to: 0.258 * * * [progress]: adding candidates to table 0.258 * * [progress]: iteration 4 / 4 0.258 * * * [progress]: picking best candidate 0.260 * * * * [pick]: Picked # 0.260 * * * [progress]: localizing error 0.262 * * * [progress]: generating rewritten candidates 0.262 * * * [progress]: generating series expansions 0.262 * * * [progress]: simplifying candidates 0.262 * [simplify]: Simplifying using # : 0.264 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.264 * [simplify]: Simplified to: 0.264 * * * [progress]: adding candidates to table 0.264 * [progress]: [Phase 3 of 3] Extracting. 0.264 * * [regime]: Finding splitpoints for: (# # # #) 0.265 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) im re) 0.265 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 0.284 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 0.299 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 0.326 * * * * [regimes]: Trying to branch on (* re re) from (# #) 0.345 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 0.369 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 0.396 * * * * [regimes]: Trying to branch on (log (sqrt (+ (* re re) (* im im)))) from (# # # #) 0.426 * * * * [regimes]: Trying to branch on im from (# # # #) 0.460 * * * * [regimes]: Trying to branch on re from (# # # #) 0.488 * * * [regime]: Found split indices: #