11.998 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (+ (* re re) (* im im))) 0.020 * * [simplify]: iteration 0 : 7 enodes (cost 8 ) 0.020 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.020 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.020 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.035 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.039 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.039 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.039 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.039 * [taylor]: Taking taylor expansion of re in im 0.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.039 * [taylor]: Taking taylor expansion of im in im 0.039 * [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 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.040 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.040 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.040 * [taylor]: Taking taylor expansion of re in re 0.040 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.040 * [taylor]: Taking taylor expansion of im in re 0.040 * [taylor]: Taking taylor expansion of im in im 0.040 * [taylor]: Taking taylor expansion of 0 in im 0.040 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.040 * [taylor]: Taking taylor expansion of 1/2 in im 0.040 * [taylor]: Taking taylor expansion of im in im 0.040 * [taylor]: Taking taylor expansion of 0 in im 0.041 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.041 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.041 * [taylor]: Taking taylor expansion of im in im 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.041 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.041 * [taylor]: Taking taylor expansion of re in im 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 (/ 1 (pow re 2)) 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 (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 (/ 1 (pow re 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.041 * [taylor]: Taking taylor expansion of re in re 0.042 * [taylor]: Taking taylor expansion of 1 in im 0.042 * [taylor]: Taking taylor expansion of 0 in im 0.042 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.042 * [taylor]: Taking taylor expansion of 1/2 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 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 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.043 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.043 * [taylor]: Taking taylor expansion of re in im 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 (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 0.044 * [taylor]: Taking taylor expansion of 1 in im 0.044 * [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 0.044 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.045 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.045 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in im 0.045 * [taylor]: Taking taylor expansion of im in im 0.045 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in re 0.045 * [taylor]: Taking taylor expansion of im in re 0.045 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in re 0.045 * [taylor]: Taking taylor expansion of im in re 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 0 in im 0.045 * [taylor]: Taking taylor expansion of 1 in im 0.045 * [taylor]: Taking taylor expansion of 0 in im 0.045 * [taylor]: Taking taylor expansion of 0 in im 0.046 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.046 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.046 * [taylor]: Taking taylor expansion of re in im 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 0.046 * [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 0.046 * [taylor]: Taking taylor expansion of 1 in im 0.046 * [taylor]: Taking taylor expansion of 0 in im 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.047 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.047 * [taylor]: Taking taylor expansion of im in im 0.047 * [taylor]: Taking taylor expansion of 0 in im 0.047 * [taylor]: Taking taylor expansion of 0 in im 0.048 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.048 * [taylor]: Taking taylor expansion of im in im 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.048 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.048 * [taylor]: Taking taylor expansion of re in im 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.048 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.048 * [taylor]: Taking taylor expansion of im in re 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.048 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.048 * [taylor]: Taking taylor expansion of re in re 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.048 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.048 * [taylor]: Taking taylor expansion of im in re 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.048 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.048 * [taylor]: Taking taylor expansion of re in re 0.048 * [taylor]: Taking taylor expansion of 1 in im 0.048 * [taylor]: Taking taylor expansion of 0 in im 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.049 * [taylor]: Taking taylor expansion of im in im 0.049 * [taylor]: Taking taylor expansion of 0 in im 0.049 * [taylor]: Taking taylor expansion of 0 in im 0.050 * * * [progress]: simplifying candidates 0.050 * [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)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* 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)) 0.073 * * [simplify]: iteration 0 : 5098 enodes (cost 295 ) 0.075 * [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 re 4) (- (pow im 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)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow re 6) (pow im 6)) (+ (pow re 4) (- (pow im 4) (* re (* re (* im im))))) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (neg re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 0.075 * * * [progress]: adding candidates to table 0.110 * * [progress]: iteration 2 / 4 0.110 * * * [progress]: picking best candidate 0.116 * * * * [pick]: Picked # 0.116 * * * [progress]: localizing error 0.117 * * * [progress]: generating rewritten candidates 0.117 * * * [progress]: generating series expansions 0.117 * * * [progress]: simplifying candidates 0.117 * [simplify]: Simplifying using # : 0.119 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.119 * [simplify]: Simplified to: 0.119 * * * [progress]: adding candidates to table 0.119 * * [progress]: iteration 3 / 4 0.119 * * * [progress]: picking best candidate 0.125 * * * * [pick]: Picked # 0.125 * * * [progress]: localizing error 0.126 * * * [progress]: generating rewritten candidates 0.126 * * * [progress]: generating series expansions 0.127 * * * [progress]: simplifying candidates 0.127 * [simplify]: Simplifying using # : 0.129 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.129 * [simplify]: Simplified to: 0.129 * * * [progress]: adding candidates to table 0.129 * * [progress]: iteration 4 / 4 0.129 * * * [progress]: picking best candidate 0.131 * * * * [pick]: Picked # 0.131 * * * [progress]: localizing error 0.131 * * * [progress]: generating rewritten candidates 0.131 * * * [progress]: generating series expansions 0.131 * * * [progress]: simplifying candidates 0.132 * [simplify]: Simplifying using # : 0.134 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.134 * [simplify]: Simplified to: 0.134 * * * [progress]: adding candidates to table 0.134 * [progress]: [Phase 3 of 3] Extracting. 0.134 * * [regime]: Finding splitpoints for: (# # # #) 0.134 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 0.134 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 0.189 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 0.240 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 0.277 * * * * [regimes]: Trying to branch on (* re re) from (# #) 0.308 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 0.371 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 0.415 * * * * [regimes]: Trying to branch on im from (# # # #) 0.481 * * * * [regimes]: Trying to branch on re from (# # # #) 0.527 * * * [regime]: Found split indices: #