13.370 * [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. 0.017 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) 0.018 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.018 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 0.019 * * [simplify]: iteration done : 8 enodes (cost 9 ) 0.019 * [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 / 1 ] rewriting at (2 1) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.033 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.033 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.033 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.033 * [taylor]: Taking taylor expansion of re in im 0.033 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.033 * [taylor]: Taking taylor expansion of im in im 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.034 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.034 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.034 * [taylor]: Taking taylor expansion of re in re 0.034 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.034 * [taylor]: Taking taylor expansion of im in re 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.035 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.035 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.035 * [taylor]: Taking taylor expansion of re in re 0.035 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.035 * [taylor]: Taking taylor expansion of im in re 0.035 * [taylor]: Taking taylor expansion of im in im 0.035 * [taylor]: Taking taylor expansion of 0 in im 0.037 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.037 * [taylor]: Taking taylor expansion of 1/2 in im 0.037 * [taylor]: Taking taylor expansion of im in im 0.039 * [taylor]: Taking taylor expansion of 0 in im 0.039 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 (/ 1 (pow re 2)) in im 0.040 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.040 * [taylor]: Taking taylor expansion of re in im 0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.042 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.042 * [taylor]: Taking taylor expansion of im in re 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.042 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.042 * [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 0.045 * [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 0.047 * [taylor]: Taking taylor expansion of 1 in im 0.047 * [taylor]: Taking taylor expansion of 0 in im 0.049 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.050 * [taylor]: Taking taylor expansion of 1/2 in im 0.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.050 * [taylor]: Taking taylor expansion of im in im 0.053 * [taylor]: Taking taylor expansion of 0 in im 0.054 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.054 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.054 * [taylor]: Taking taylor expansion of im in im 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.055 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.055 * [taylor]: Taking taylor expansion of re in im 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.061 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.061 * [taylor]: Taking taylor expansion of im in re 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.063 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.063 * [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 0.066 * [taylor]: Taking taylor expansion of 1 in im 0.066 * [taylor]: Taking taylor expansion of 0 in im 0.068 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.068 * [taylor]: Taking taylor expansion of 1/2 in im 0.068 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.068 * [taylor]: Taking taylor expansion of im in im 0.071 * [taylor]: Taking taylor expansion of 0 in im 0.072 * * * [progress]: simplifying candidates 0.073 * [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) 0.074 * * [simplify]: iteration 0 : 38 enodes (cost 213 ) 0.081 * * [simplify]: iteration 1 : 91 enodes (cost 186 ) 0.096 * * [simplify]: iteration 2 : 207 enodes (cost 170 ) 0.138 * * [simplify]: iteration 3 : 463 enodes (cost 164 ) 0.249 * * [simplify]: iteration 4 : 1051 enodes (cost 164 ) 0.665 * * [simplify]: iteration 5 : 2857 enodes (cost 164 ) 1.640 * * [simplify]: iteration done : 5000 enodes (cost 164 ) 1.640 * [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 im 6) (pow re 6))) (sqrt (+ (pow im 4) (- (pow re 4) (* (* re re) (* im im))))) (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 (- re) 1.640 * * * [progress]: adding candidates to table 1.688 * * [progress]: iteration 2 / 4 1.688 * * * [progress]: picking best candidate 1.692 * * * * [pick]: Picked # 1.692 * * * [progress]: localizing error 1.695 * * * [progress]: generating rewritten candidates 1.696 * * * [progress]: generating series expansions 1.696 * * * [progress]: simplifying candidates 1.696 * [simplify]: Simplifying using # : 1.697 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.697 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.697 * [simplify]: Simplified to: 1.697 * * * [progress]: adding candidates to table 1.697 * * [progress]: iteration 3 / 4 1.697 * * * [progress]: picking best candidate 1.700 * * * * [pick]: Picked # 1.700 * * * [progress]: localizing error 1.702 * * * [progress]: generating rewritten candidates 1.702 * * * [progress]: generating series expansions 1.702 * * * [progress]: simplifying candidates 1.702 * [simplify]: Simplifying using # : 1.703 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.703 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.703 * [simplify]: Simplified to: 1.703 * * * [progress]: adding candidates to table 1.703 * * [progress]: iteration 4 / 4 1.703 * * * [progress]: picking best candidate 1.705 * * * * [pick]: Picked # 1.705 * * * [progress]: localizing error 1.707 * * * [progress]: generating rewritten candidates 1.707 * * * [progress]: generating series expansions 1.707 * * * [progress]: simplifying candidates 1.707 * [simplify]: Simplifying using # : 1.708 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.708 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.708 * [simplify]: Simplified to: 1.708 * * * [progress]: adding candidates to table 1.708 * [progress]: [Phase 3 of 3] Extracting. 1.708 * * [regime]: Finding splitpoints for: (# # # #) 1.708 * * * [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) 1.708 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 1.731 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 1.750 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 1.769 * * * * [regimes]: Trying to branch on (* re re) from (# #) 1.779 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 1.804 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 1.828 * * * * [regimes]: Trying to branch on (log (sqrt (+ (* re re) (* im im)))) from (# # # #) 1.858 * * * * [regimes]: Trying to branch on im from (# # # #) 1.898 * * * * [regimes]: Trying to branch on re from (# # # #) 1.934 * * * [regime]: Found split indices: #