11.143 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (sqrt (+ (* re re) (* im im))) 0.025 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.027 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.027 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.060 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.060 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.060 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.060 * [taylor]: Taking taylor expansion of re in im 0.061 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.061 * [taylor]: Taking taylor expansion of im in im 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.061 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.061 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.061 * [taylor]: Taking taylor expansion of re in re 0.061 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.061 * [taylor]: Taking taylor expansion of im in re 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.062 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.062 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.062 * [taylor]: Taking taylor expansion of re in re 0.062 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.062 * [taylor]: Taking taylor expansion of im in re 0.063 * [taylor]: Taking taylor expansion of im in im 0.063 * [taylor]: Taking taylor expansion of 0 in im 0.064 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.064 * [taylor]: Taking taylor expansion of 1/2 in im 0.064 * [taylor]: Taking taylor expansion of im in im 0.067 * [taylor]: Taking taylor expansion of 0 in im 0.068 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.068 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.068 * [taylor]: Taking taylor expansion of im in im 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.069 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.069 * [taylor]: Taking taylor expansion of re in im 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.073 * [taylor]: Taking taylor expansion of im in re 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.073 * [taylor]: Taking taylor expansion of re in re 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.077 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.081 * [taylor]: Taking taylor expansion of 1 in im 0.081 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.085 * [taylor]: Taking taylor expansion of 1/2 in im 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 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 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.093 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.093 * [taylor]: Taking taylor expansion of re in im 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.097 * [taylor]: Taking taylor expansion of im in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.101 * [taylor]: Taking taylor expansion of im in re 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.101 * [taylor]: Taking taylor expansion of re in re 0.105 * [taylor]: Taking taylor expansion of 1 in im 0.105 * [taylor]: Taking taylor expansion of 0 in im 0.108 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.108 * [taylor]: Taking taylor expansion of 1/2 in im 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.108 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of 0 in im 0.116 * * * [progress]: simplifying candidates 0.116 * [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 1) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (* 1 1)) (sqrt (+ (* re re) (* im im))) (sqrt 1) (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) 0.121 * * [simplify]: iteration 0 : 86 enodes (cost 119 ) 0.124 * * [simplify]: iteration 1 : 202 enodes (cost 116 ) 0.130 * * [simplify]: iteration 2 : 465 enodes (cost 116 ) 0.142 * * [simplify]: iteration 3 : 1174 enodes (cost 116 ) 0.179 * * [simplify]: iteration 4 : 3616 enodes (cost 116 ) 0.267 * * [simplify]: iteration 5 : 5001 enodes (cost 116 ) 0.268 * [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))) 1 (sqrt (+ (* re re) (* im im))) 1 (sqrt (+ (* re re) (* im im))) 1 (sqrt (+ (* re re) (* im im))) 1 (sqrt (+ (* re re) (* im im))) 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) 0.268 * * * [progress]: adding candidates to table 0.299 * * [progress]: iteration 2 / 4 0.299 * * * [progress]: picking best candidate 0.302 * * * * [pick]: Picked # 0.302 * * * [progress]: localizing error 0.303 * * * [progress]: generating rewritten candidates 0.303 * * * [progress]: generating series expansions 0.303 * * * [progress]: simplifying candidates 0.303 * [simplify]: Simplifying using # : 0.305 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.305 * [simplify]: Simplified to: 0.305 * * * [progress]: adding candidates to table 0.305 * * [progress]: iteration 3 / 4 0.305 * * * [progress]: picking best candidate 0.307 * * * * [pick]: Picked # 0.307 * * * [progress]: localizing error 0.308 * * * [progress]: generating rewritten candidates 0.308 * * * [progress]: generating series expansions 0.308 * * * [progress]: simplifying candidates 0.308 * [simplify]: Simplifying using # : 0.310 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.310 * [simplify]: Simplified to: 0.310 * * * [progress]: adding candidates to table 0.310 * * [progress]: iteration 4 / 4 0.310 * * * [progress]: picking best candidate 0.311 * * * * [pick]: Picked # 0.311 * * * [progress]: localizing error 0.313 * * * [progress]: generating rewritten candidates 0.313 * * * [progress]: generating series expansions 0.313 * * * [progress]: simplifying candidates 0.313 * [simplify]: Simplifying using # : 0.315 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.315 * [simplify]: Simplified to: 0.315 * * * [progress]: adding candidates to table 0.316 * [progress]: [Phase 3 of 3] Extracting. 0.316 * * [regime]: Finding splitpoints for: (# # # #) 0.316 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 0.316 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 0.334 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 0.347 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 0.362 * * * * [regimes]: Trying to branch on (* re re) from (# #) 0.377 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 0.398 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 0.421 * * * * [regimes]: Trying to branch on im from (# # # #) 0.440 * * * * [regimes]: Trying to branch on re from (# # # #) 0.464 * * * [regime]: Found split indices: #