9.576 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.105 * * * [progress]: [2/2] Setting up program. 0.108 * [progress]: [Phase 2 of 3] Improving. 0.109 * [simplify]: Simplifying using # : (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 0.129 * * [simplify]: iteration 0 : 491 enodes (cost 12 ) 0.129 * * [simplify]: iteration 1 : 491 enodes (cost 12 ) 0.129 * [simplify]: Simplified to: (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 0.132 * * [progress]: iteration 1 / 4 0.132 * * * [progress]: picking best candidate 0.135 * * * * [pick]: Picked # 0.135 * * * [progress]: localizing error 0.145 * * * [progress]: generating rewritten candidates 0.145 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.156 * * * [progress]: generating series expansions 0.156 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.156 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (sin re))) in (re im) around 0 0.156 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (sin re))) in im 0.156 * [taylor]: Taking taylor expansion of 0.5 in im 0.156 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (sin re)) in im 0.156 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.156 * [taylor]: Taking taylor expansion of (exp im) in im 0.157 * [taylor]: Taking taylor expansion of im in im 0.157 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.157 * [taylor]: Taking taylor expansion of (neg im) in im 0.157 * [taylor]: Taking taylor expansion of im in im 0.157 * [taylor]: Taking taylor expansion of (sin re) in im 0.157 * [taylor]: Taking taylor expansion of re in im 0.157 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (sin re))) in re 0.157 * [taylor]: Taking taylor expansion of 0.5 in re 0.157 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (sin re)) in re 0.157 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.157 * [taylor]: Taking taylor expansion of (exp im) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.157 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.157 * [taylor]: Taking taylor expansion of (neg im) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.157 * [taylor]: Taking taylor expansion of (sin re) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.157 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (sin re))) in re 0.157 * [taylor]: Taking taylor expansion of 0.5 in re 0.157 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (sin re)) in re 0.157 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.157 * [taylor]: Taking taylor expansion of (exp im) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.157 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.157 * [taylor]: Taking taylor expansion of (neg im) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.157 * [taylor]: Taking taylor expansion of (sin re) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.157 * [taylor]: Taking taylor expansion of 0 in im 0.158 * [taylor]: Taking taylor expansion of (+ (* 0.5 (exp im)) (* 0.5 (exp (neg im)))) in im 0.158 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.158 * [taylor]: Taking taylor expansion of 0.5 in im 0.158 * [taylor]: Taking taylor expansion of (exp im) in im 0.158 * [taylor]: Taking taylor expansion of im in im 0.158 * [taylor]: Taking taylor expansion of (* 0.5 (exp (neg im))) in im 0.158 * [taylor]: Taking taylor expansion of 0.5 in im 0.158 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.158 * [taylor]: Taking taylor expansion of (neg im) in im 0.158 * [taylor]: Taking taylor expansion of im in im 0.158 * [taylor]: Taking taylor expansion of 0 in im 0.160 * [taylor]: Taking taylor expansion of (neg (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (neg im))))) in im 0.160 * [taylor]: Taking taylor expansion of (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (neg im)))) in im 0.160 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (exp im)) in im 0.160 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 0.160 * [taylor]: Taking taylor expansion of (exp im) in im 0.160 * [taylor]: Taking taylor expansion of im in im 0.160 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (exp (neg im))) in im 0.160 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 0.160 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.160 * [taylor]: Taking taylor expansion of (neg im) in im 0.160 * [taylor]: Taking taylor expansion of im in im 0.161 * [approximate]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.161 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.161 * [taylor]: Taking taylor expansion of 0.5 in im 0.161 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.161 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.161 * [taylor]: Taking taylor expansion of re in im 0.161 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.161 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.161 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.161 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.161 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.161 * [taylor]: Taking taylor expansion of 0.5 in re 0.161 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.161 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.161 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.161 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.161 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.161 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.162 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.162 * [taylor]: Taking taylor expansion of 0.5 in re 0.162 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.162 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.162 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.162 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.162 * [taylor]: Taking taylor expansion of im in re 0.162 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.162 * [taylor]: Taking taylor expansion of im in re 0.162 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.162 * [taylor]: Taking taylor expansion of 0.5 in im 0.162 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.162 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.162 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.162 * [taylor]: Taking taylor expansion of re in im 0.162 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.162 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.162 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.162 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.163 * [taylor]: Taking taylor expansion of im in im 0.163 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.163 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.163 * [taylor]: Taking taylor expansion of im in im 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.168 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in (re im) around 0 0.170 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in im 0.170 * [taylor]: Taking taylor expansion of 0.5 in im 0.170 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 0.170 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.170 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.170 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.170 * [taylor]: Taking taylor expansion of -1 in im 0.170 * [taylor]: Taking taylor expansion of im in im 0.170 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.170 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.170 * [taylor]: Taking taylor expansion of im in im 0.170 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.170 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.170 * [taylor]: Taking taylor expansion of -1 in im 0.170 * [taylor]: Taking taylor expansion of re in im 0.170 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in re 0.170 * [taylor]: Taking taylor expansion of 0.5 in re 0.170 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 0.170 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.170 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.171 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.171 * [taylor]: Taking taylor expansion of -1 in re 0.171 * [taylor]: Taking taylor expansion of im in re 0.171 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.171 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.171 * [taylor]: Taking taylor expansion of im in re 0.171 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.171 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.171 * [taylor]: Taking taylor expansion of -1 in re 0.171 * [taylor]: Taking taylor expansion of re in re 0.171 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in re 0.171 * [taylor]: Taking taylor expansion of 0.5 in re 0.171 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 0.171 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.171 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.171 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.171 * [taylor]: Taking taylor expansion of -1 in re 0.171 * [taylor]: Taking taylor expansion of im in re 0.171 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.171 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.171 * [taylor]: Taking taylor expansion of im in re 0.171 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.171 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.171 * [taylor]: Taking taylor expansion of -1 in re 0.171 * [taylor]: Taking taylor expansion of re in re 0.171 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in im 0.171 * [taylor]: Taking taylor expansion of 0.5 in im 0.171 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 0.171 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.171 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.171 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.171 * [taylor]: Taking taylor expansion of -1 in im 0.172 * [taylor]: Taking taylor expansion of im in im 0.172 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.172 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.172 * [taylor]: Taking taylor expansion of im in im 0.172 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.172 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.172 * [taylor]: Taking taylor expansion of -1 in im 0.172 * [taylor]: Taking taylor expansion of re in im 0.173 * [taylor]: Taking taylor expansion of 0 in im 0.174 * [taylor]: Taking taylor expansion of 0 in im 0.175 * [taylor]: Taking taylor expansion of 0 in im 0.175 * * * [progress]: simplifying candidates 0.176 * [simplify]: Simplifying using # : (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (+ (+ (log 0.5) (log (sin re))) (log (+ (exp (- 0.0 im)) (exp im)))) (+ (log (* 0.5 (sin re))) (log (+ (exp (- 0.0 im)) (exp im)))) (log (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im))) (+ (exp (- 0.0 im)) (exp im)))) (* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im))) (+ (exp (- 0.0 im)) (exp im)))) (* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)) (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))) (* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im))))) (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) 1) (* (* 0.5 (sin re)) 1) (* (sin re) (+ (exp (- 0.0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (* (* 0.5 (sin re)) (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im)))) (- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3))) (* 0.5 (* (+ (exp im) (exp (neg im))) (sin re))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (sin re))) 0.209 * * [simplify]: iteration 0 : 5000 enodes (cost 338 ) 0.210 * [simplify]: Simplified to: (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) (log (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im))))) (log (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im))))) (log (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im))))) (pow (pow (exp 0.5) (sin re)) (+ (exp (- 0.0 im)) (exp im))) (pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3) (pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3) (* (cbrt (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im))))) (cbrt (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im))))) (pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3) (sqrt (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im))))) (sqrt (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im))))) (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))) (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))) (* 0.5 (* (sin re) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))) (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* 0.5 (sin re)) (* 0.5 (sin re)) (* (sin re) (+ (exp (- 0.0 im)) (exp im))) (* 0.5 (* (sin re) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))) (* 0.5 (* (sin re) (- (pow (exp (- 0.0 im)) 2) (pow (exp im) 2)))) (- (* re (+ 1.0 (* 0.5 (* im im)))) (* 0.16666666666666666 (pow re 3))) (* 0.5 (* (sin re) (+ (exp im) (exp (neg im))))) (* 0.5 (* (sin re) (+ (exp im) (exp (neg im))))) 0.210 * * * [progress]: adding candidates to table 0.242 * * [progress]: iteration 2 / 4 0.242 * * * [progress]: picking best candidate 0.249 * * * * [pick]: Picked # 0.249 * * * [progress]: localizing error 0.263 * * * [progress]: generating rewritten candidates 0.263 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.268 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.276 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.287 * * * [progress]: generating series expansions 0.287 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.287 * [approximate]: Taking taylor expansion of (* (exp im) (sin re)) in (re im) around 0 0.288 * [taylor]: Taking taylor expansion of (* (exp im) (sin re)) in im 0.288 * [taylor]: Taking taylor expansion of (exp im) in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.288 * [taylor]: Taking taylor expansion of (sin re) in im 0.288 * [taylor]: Taking taylor expansion of re in im 0.288 * [taylor]: Taking taylor expansion of (* (exp im) (sin re)) in re 0.288 * [taylor]: Taking taylor expansion of (exp im) in re 0.288 * [taylor]: Taking taylor expansion of im in re 0.288 * [taylor]: Taking taylor expansion of (sin re) in re 0.288 * [taylor]: Taking taylor expansion of re in re 0.288 * [taylor]: Taking taylor expansion of (* (exp im) (sin re)) in re 0.288 * [taylor]: Taking taylor expansion of (exp im) in re 0.288 * [taylor]: Taking taylor expansion of im in re 0.288 * [taylor]: Taking taylor expansion of (sin re) in re 0.288 * [taylor]: Taking taylor expansion of re in re 0.288 * [taylor]: Taking taylor expansion of 0 in im 0.288 * [taylor]: Taking taylor expansion of (exp im) in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.288 * [taylor]: Taking taylor expansion of 0 in im 0.289 * [taylor]: Taking taylor expansion of (neg (* 1/6 (exp im))) in im 0.289 * [taylor]: Taking taylor expansion of (* 1/6 (exp im)) in im 0.289 * [taylor]: Taking taylor expansion of 1/6 in im 0.289 * [taylor]: Taking taylor expansion of (exp im) in im 0.289 * [taylor]: Taking taylor expansion of im in im 0.289 * [approximate]: Taking taylor expansion of (* (sin (/ 1 re)) (exp (/ 1 im))) in (re im) around 0 0.289 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (exp (/ 1 im))) in im 0.289 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.289 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.289 * [taylor]: Taking taylor expansion of re in im 0.289 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.289 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.290 * [taylor]: Taking taylor expansion of im in im 0.290 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (exp (/ 1 im))) in re 0.290 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.290 * [taylor]: Taking taylor expansion of re in re 0.290 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.290 * [taylor]: Taking taylor expansion of im in re 0.290 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (exp (/ 1 im))) in re 0.290 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.290 * [taylor]: Taking taylor expansion of re in re 0.290 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.290 * [taylor]: Taking taylor expansion of im in re 0.290 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (exp (/ 1 im))) in im 0.290 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.290 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.290 * [taylor]: Taking taylor expansion of re in im 0.290 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.290 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.290 * [taylor]: Taking taylor expansion of im in im 0.291 * [taylor]: Taking taylor expansion of 0 in im 0.291 * [taylor]: Taking taylor expansion of 0 in im 0.292 * [taylor]: Taking taylor expansion of 0 in im 0.292 * [approximate]: Taking taylor expansion of (* (exp (/ -1 im)) (sin (/ -1 re))) in (re im) around 0 0.292 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (sin (/ -1 re))) in im 0.292 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.292 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.292 * [taylor]: Taking taylor expansion of -1 in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.292 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.292 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.292 * [taylor]: Taking taylor expansion of -1 in im 0.292 * [taylor]: Taking taylor expansion of re in im 0.292 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (sin (/ -1 re))) in re 0.292 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.292 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.292 * [taylor]: Taking taylor expansion of -1 in re 0.292 * [taylor]: Taking taylor expansion of im in re 0.293 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.293 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.293 * [taylor]: Taking taylor expansion of -1 in re 0.293 * [taylor]: Taking taylor expansion of re in re 0.293 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (sin (/ -1 re))) in re 0.293 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.293 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.293 * [taylor]: Taking taylor expansion of -1 in re 0.293 * [taylor]: Taking taylor expansion of im in re 0.293 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.293 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.293 * [taylor]: Taking taylor expansion of -1 in re 0.293 * [taylor]: Taking taylor expansion of re in re 0.293 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (sin (/ -1 re))) in im 0.293 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.293 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.293 * [taylor]: Taking taylor expansion of -1 in im 0.293 * [taylor]: Taking taylor expansion of im in im 0.293 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.293 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.293 * [taylor]: Taking taylor expansion of -1 in im 0.293 * [taylor]: Taking taylor expansion of re in im 0.294 * [taylor]: Taking taylor expansion of 0 in im 0.294 * [taylor]: Taking taylor expansion of 0 in im 0.295 * [taylor]: Taking taylor expansion of 0 in im 0.295 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.295 * [approximate]: Taking taylor expansion of (* (sin re) (exp (neg im))) in (re im) around 0 0.295 * [taylor]: Taking taylor expansion of (* (sin re) (exp (neg im))) in im 0.295 * [taylor]: Taking taylor expansion of (sin re) in im 0.295 * [taylor]: Taking taylor expansion of re in im 0.295 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.295 * [taylor]: Taking taylor expansion of (neg im) in im 0.295 * [taylor]: Taking taylor expansion of im in im 0.295 * [taylor]: Taking taylor expansion of (* (sin re) (exp (neg im))) in re 0.295 * [taylor]: Taking taylor expansion of (sin re) in re 0.295 * [taylor]: Taking taylor expansion of re in re 0.295 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.295 * [taylor]: Taking taylor expansion of (neg im) in re 0.295 * [taylor]: Taking taylor expansion of im in re 0.295 * [taylor]: Taking taylor expansion of (* (sin re) (exp (neg im))) in re 0.296 * [taylor]: Taking taylor expansion of (sin re) in re 0.296 * [taylor]: Taking taylor expansion of re in re 0.296 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.296 * [taylor]: Taking taylor expansion of (neg im) in re 0.296 * [taylor]: Taking taylor expansion of im in re 0.296 * [taylor]: Taking taylor expansion of 0 in im 0.296 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.296 * [taylor]: Taking taylor expansion of (neg im) in im 0.296 * [taylor]: Taking taylor expansion of im in im 0.296 * [taylor]: Taking taylor expansion of 0 in im 0.297 * [taylor]: Taking taylor expansion of (neg (* 1/6 (exp (neg im)))) in im 0.297 * [taylor]: Taking taylor expansion of (* 1/6 (exp (neg im))) in im 0.297 * [taylor]: Taking taylor expansion of 1/6 in im 0.297 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.297 * [taylor]: Taking taylor expansion of (neg im) in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.297 * [approximate]: Taking taylor expansion of (* (exp (neg (/ 1 im))) (sin (/ 1 re))) in (re im) around 0 0.297 * [taylor]: Taking taylor expansion of (* (exp (neg (/ 1 im))) (sin (/ 1 re))) in im 0.297 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.297 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.297 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.297 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.297 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.297 * [taylor]: Taking taylor expansion of re in im 0.297 * [taylor]: Taking taylor expansion of (* (exp (neg (/ 1 im))) (sin (/ 1 re))) in re 0.297 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.297 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.298 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.298 * [taylor]: Taking taylor expansion of im in re 0.298 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.298 * [taylor]: Taking taylor expansion of re in re 0.298 * [taylor]: Taking taylor expansion of (* (exp (neg (/ 1 im))) (sin (/ 1 re))) in re 0.298 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.298 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.298 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.298 * [taylor]: Taking taylor expansion of im in re 0.298 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.298 * [taylor]: Taking taylor expansion of re in re 0.298 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (exp (neg (/ 1 im)))) in im 0.298 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.298 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.298 * [taylor]: Taking taylor expansion of re in im 0.298 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.298 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.298 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.298 * [taylor]: Taking taylor expansion of im in im 0.299 * [taylor]: Taking taylor expansion of 0 in im 0.299 * [taylor]: Taking taylor expansion of 0 in im 0.300 * [taylor]: Taking taylor expansion of 0 in im 0.300 * [approximate]: Taking taylor expansion of (* (sin (/ -1 re)) (exp (/ 1 im))) in (re im) around 0 0.300 * [taylor]: Taking taylor expansion of (* (sin (/ -1 re)) (exp (/ 1 im))) in im 0.300 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.300 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.300 * [taylor]: Taking taylor expansion of -1 in im 0.300 * [taylor]: Taking taylor expansion of re in im 0.301 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.301 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.301 * [taylor]: Taking taylor expansion of im in im 0.301 * [taylor]: Taking taylor expansion of (* (sin (/ -1 re)) (exp (/ 1 im))) in re 0.301 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.301 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.301 * [taylor]: Taking taylor expansion of -1 in re 0.301 * [taylor]: Taking taylor expansion of re in re 0.301 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.301 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.301 * [taylor]: Taking taylor expansion of im in re 0.301 * [taylor]: Taking taylor expansion of (* (sin (/ -1 re)) (exp (/ 1 im))) in re 0.301 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.301 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.301 * [taylor]: Taking taylor expansion of -1 in re 0.301 * [taylor]: Taking taylor expansion of re in re 0.301 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.301 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.301 * [taylor]: Taking taylor expansion of im in re 0.301 * [taylor]: Taking taylor expansion of (* (sin (/ -1 re)) (exp (/ 1 im))) in im 0.301 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.301 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.301 * [taylor]: Taking taylor expansion of -1 in im 0.301 * [taylor]: Taking taylor expansion of re in im 0.301 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.301 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.301 * [taylor]: Taking taylor expansion of im in im 0.302 * [taylor]: Taking taylor expansion of 0 in im 0.302 * [taylor]: Taking taylor expansion of 0 in im 0.303 * [taylor]: Taking taylor expansion of 0 in im 0.303 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.303 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (sin re) (exp (neg im)))) (* 0.5 (* (exp im) (sin re)))) in (re im) around 0 0.303 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (sin re) (exp (neg im)))) (* 0.5 (* (exp im) (sin re)))) in im 0.303 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (exp (neg im)))) in im 0.304 * [taylor]: Taking taylor expansion of 0.5 in im 0.304 * [taylor]: Taking taylor expansion of (* (sin re) (exp (neg im))) in im 0.304 * [taylor]: Taking taylor expansion of (sin re) in im 0.304 * [taylor]: Taking taylor expansion of re in im 0.304 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.304 * [taylor]: Taking taylor expansion of (neg im) in im 0.304 * [taylor]: Taking taylor expansion of im in im 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (sin re))) in im 0.304 * [taylor]: Taking taylor expansion of 0.5 in im 0.304 * [taylor]: Taking taylor expansion of (* (exp im) (sin re)) in im 0.304 * [taylor]: Taking taylor expansion of (exp im) in im 0.304 * [taylor]: Taking taylor expansion of im in im 0.304 * [taylor]: Taking taylor expansion of (sin re) in im 0.304 * [taylor]: Taking taylor expansion of re in im 0.304 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (sin re) (exp (neg im)))) (* 0.5 (* (exp im) (sin re)))) in re 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (exp (neg im)))) in re 0.304 * [taylor]: Taking taylor expansion of 0.5 in re 0.304 * [taylor]: Taking taylor expansion of (* (sin re) (exp (neg im))) in re 0.304 * [taylor]: Taking taylor expansion of (sin re) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.304 * [taylor]: Taking taylor expansion of (neg im) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (sin re))) in re 0.304 * [taylor]: Taking taylor expansion of 0.5 in re 0.304 * [taylor]: Taking taylor expansion of (* (exp im) (sin re)) in re 0.304 * [taylor]: Taking taylor expansion of (exp im) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.304 * [taylor]: Taking taylor expansion of (sin re) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (sin re) (exp (neg im)))) (* 0.5 (* (exp im) (sin re)))) in re 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (exp (neg im)))) in re 0.304 * [taylor]: Taking taylor expansion of 0.5 in re 0.304 * [taylor]: Taking taylor expansion of (* (sin re) (exp (neg im))) in re 0.304 * [taylor]: Taking taylor expansion of (sin re) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.304 * [taylor]: Taking taylor expansion of (neg im) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (sin re))) in re 0.304 * [taylor]: Taking taylor expansion of 0.5 in re 0.304 * [taylor]: Taking taylor expansion of (* (exp im) (sin re)) in re 0.304 * [taylor]: Taking taylor expansion of (exp im) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.304 * [taylor]: Taking taylor expansion of (sin re) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.305 * [taylor]: Taking taylor expansion of 0 in im 0.305 * [taylor]: Taking taylor expansion of (+ (* 0.5 (exp im)) (* 0.5 (exp (neg im)))) in im 0.305 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.305 * [taylor]: Taking taylor expansion of 0.5 in im 0.305 * [taylor]: Taking taylor expansion of (exp im) in im 0.305 * [taylor]: Taking taylor expansion of im in im 0.305 * [taylor]: Taking taylor expansion of (* 0.5 (exp (neg im))) in im 0.305 * [taylor]: Taking taylor expansion of 0.5 in im 0.305 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.305 * [taylor]: Taking taylor expansion of (neg im) in im 0.305 * [taylor]: Taking taylor expansion of im in im 0.306 * [taylor]: Taking taylor expansion of 0 in im 0.307 * [taylor]: Taking taylor expansion of (neg (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (neg im))))) in im 0.307 * [taylor]: Taking taylor expansion of (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (neg im)))) in im 0.307 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (exp im)) in im 0.307 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 0.307 * [taylor]: Taking taylor expansion of (exp im) in im 0.307 * [taylor]: Taking taylor expansion of im in im 0.307 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (exp (neg im))) in im 0.307 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 0.307 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.307 * [taylor]: Taking taylor expansion of (neg im) in im 0.307 * [taylor]: Taking taylor expansion of im in im 0.308 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (sin (/ 1 re)) (exp (neg (/ 1 im))))) (* 0.5 (* (sin (/ 1 re)) (exp (/ 1 im))))) in (re im) around 0 0.308 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (sin (/ 1 re)) (exp (neg (/ 1 im))))) (* 0.5 (* (sin (/ 1 re)) (exp (/ 1 im))))) in im 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (exp (neg (/ 1 im))))) in im 0.308 * [taylor]: Taking taylor expansion of 0.5 in im 0.308 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (exp (neg (/ 1 im)))) in im 0.308 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.308 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.308 * [taylor]: Taking taylor expansion of re in im 0.308 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.308 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.308 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (exp (/ 1 im)))) in im 0.308 * [taylor]: Taking taylor expansion of 0.5 in im 0.308 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (exp (/ 1 im))) in im 0.308 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.309 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.309 * [taylor]: Taking taylor expansion of re in im 0.309 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.309 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.309 * [taylor]: Taking taylor expansion of im in im 0.309 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (sin (/ 1 re)) (exp (neg (/ 1 im))))) (* 0.5 (* (sin (/ 1 re)) (exp (/ 1 im))))) in re 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (exp (neg (/ 1 im))))) in re 0.309 * [taylor]: Taking taylor expansion of 0.5 in re 0.309 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (exp (neg (/ 1 im)))) in re 0.309 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.309 * [taylor]: Taking taylor expansion of re in re 0.309 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.309 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.309 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.309 * [taylor]: Taking taylor expansion of im in re 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (exp (/ 1 im)))) in re 0.309 * [taylor]: Taking taylor expansion of 0.5 in re 0.309 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (exp (/ 1 im))) in re 0.309 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.309 * [taylor]: Taking taylor expansion of re in re 0.309 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.309 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.309 * [taylor]: Taking taylor expansion of im in re 0.309 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (sin (/ 1 re)) (exp (neg (/ 1 im))))) (* 0.5 (* (sin (/ 1 re)) (exp (/ 1 im))))) in re 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (exp (neg (/ 1 im))))) in re 0.309 * [taylor]: Taking taylor expansion of 0.5 in re 0.310 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (exp (neg (/ 1 im)))) in re 0.310 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.310 * [taylor]: Taking taylor expansion of re in re 0.310 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.310 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.310 * [taylor]: Taking taylor expansion of im in re 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (exp (/ 1 im)))) in re 0.310 * [taylor]: Taking taylor expansion of 0.5 in re 0.310 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (exp (/ 1 im))) in re 0.310 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.310 * [taylor]: Taking taylor expansion of re in re 0.310 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.310 * [taylor]: Taking taylor expansion of im in re 0.310 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp (neg (/ 1 im))) (sin (/ 1 re)))) (* 0.5 (* (sin (/ 1 re)) (exp (/ 1 im))))) in im 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (neg (/ 1 im))) (sin (/ 1 re)))) in im 0.310 * [taylor]: Taking taylor expansion of 0.5 in im 0.310 * [taylor]: Taking taylor expansion of (* (exp (neg (/ 1 im))) (sin (/ 1 re))) in im 0.310 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.310 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.310 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.311 * [taylor]: Taking taylor expansion of im in im 0.311 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.311 * [taylor]: Taking taylor expansion of re in im 0.311 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (exp (/ 1 im)))) in im 0.311 * [taylor]: Taking taylor expansion of 0.5 in im 0.311 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (exp (/ 1 im))) in im 0.311 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.311 * [taylor]: Taking taylor expansion of re in im 0.311 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.311 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.311 * [taylor]: Taking taylor expansion of im in im 0.312 * [taylor]: Taking taylor expansion of 0 in im 0.314 * [taylor]: Taking taylor expansion of 0 in im 0.316 * [taylor]: Taking taylor expansion of 0 in im 0.316 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (sin (/ -1 re)) (exp (/ 1 im)))) (* 0.5 (* (exp (/ -1 im)) (sin (/ -1 re))))) in (re im) around 0 0.316 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (sin (/ -1 re)) (exp (/ 1 im)))) (* 0.5 (* (exp (/ -1 im)) (sin (/ -1 re))))) in im 0.316 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ -1 re)) (exp (/ 1 im)))) in im 0.316 * [taylor]: Taking taylor expansion of 0.5 in im 0.316 * [taylor]: Taking taylor expansion of (* (sin (/ -1 re)) (exp (/ 1 im))) in im 0.316 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.316 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.316 * [taylor]: Taking taylor expansion of -1 in im 0.316 * [taylor]: Taking taylor expansion of re in im 0.316 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.316 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.316 * [taylor]: Taking taylor expansion of im in im 0.316 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (sin (/ -1 re)))) in im 0.316 * [taylor]: Taking taylor expansion of 0.5 in im 0.316 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (sin (/ -1 re))) in im 0.316 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.316 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.316 * [taylor]: Taking taylor expansion of -1 in im 0.316 * [taylor]: Taking taylor expansion of im in im 0.317 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.317 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.317 * [taylor]: Taking taylor expansion of -1 in im 0.317 * [taylor]: Taking taylor expansion of re in im 0.317 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (sin (/ -1 re)) (exp (/ 1 im)))) (* 0.5 (* (exp (/ -1 im)) (sin (/ -1 re))))) in re 0.317 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ -1 re)) (exp (/ 1 im)))) in re 0.317 * [taylor]: Taking taylor expansion of 0.5 in re 0.317 * [taylor]: Taking taylor expansion of (* (sin (/ -1 re)) (exp (/ 1 im))) in re 0.317 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.317 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.317 * [taylor]: Taking taylor expansion of -1 in re 0.317 * [taylor]: Taking taylor expansion of re in re 0.317 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.317 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.317 * [taylor]: Taking taylor expansion of im in re 0.317 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (sin (/ -1 re)))) in re 0.317 * [taylor]: Taking taylor expansion of 0.5 in re 0.317 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (sin (/ -1 re))) in re 0.317 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.317 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.317 * [taylor]: Taking taylor expansion of -1 in re 0.317 * [taylor]: Taking taylor expansion of im in re 0.317 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.317 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.317 * [taylor]: Taking taylor expansion of -1 in re 0.317 * [taylor]: Taking taylor expansion of re in re 0.317 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (sin (/ -1 re)) (exp (/ 1 im)))) (* 0.5 (* (exp (/ -1 im)) (sin (/ -1 re))))) in re 0.317 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ -1 re)) (exp (/ 1 im)))) in re 0.317 * [taylor]: Taking taylor expansion of 0.5 in re 0.317 * [taylor]: Taking taylor expansion of (* (sin (/ -1 re)) (exp (/ 1 im))) in re 0.317 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.317 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.317 * [taylor]: Taking taylor expansion of -1 in re 0.317 * [taylor]: Taking taylor expansion of re in re 0.317 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.317 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.317 * [taylor]: Taking taylor expansion of im in re 0.317 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (sin (/ -1 re)))) in re 0.317 * [taylor]: Taking taylor expansion of 0.5 in re 0.317 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (sin (/ -1 re))) in re 0.317 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.317 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.318 * [taylor]: Taking taylor expansion of -1 in re 0.318 * [taylor]: Taking taylor expansion of im in re 0.318 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.318 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.318 * [taylor]: Taking taylor expansion of -1 in re 0.318 * [taylor]: Taking taylor expansion of re in re 0.318 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (sin (/ -1 re)) (exp (/ 1 im)))) (* 0.5 (* (exp (/ -1 im)) (sin (/ -1 re))))) in im 0.318 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ -1 re)) (exp (/ 1 im)))) in im 0.318 * [taylor]: Taking taylor expansion of 0.5 in im 0.318 * [taylor]: Taking taylor expansion of (* (sin (/ -1 re)) (exp (/ 1 im))) in im 0.318 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.318 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.318 * [taylor]: Taking taylor expansion of -1 in im 0.318 * [taylor]: Taking taylor expansion of re in im 0.318 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.318 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.318 * [taylor]: Taking taylor expansion of im in im 0.318 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (sin (/ -1 re)))) in im 0.318 * [taylor]: Taking taylor expansion of 0.5 in im 0.318 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (sin (/ -1 re))) in im 0.318 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.318 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.318 * [taylor]: Taking taylor expansion of -1 in im 0.318 * [taylor]: Taking taylor expansion of im in im 0.318 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.319 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.319 * [taylor]: Taking taylor expansion of -1 in im 0.319 * [taylor]: Taking taylor expansion of re in im 0.320 * [taylor]: Taking taylor expansion of 0 in im 0.321 * [taylor]: Taking taylor expansion of 0 in im 0.323 * [taylor]: Taking taylor expansion of 0 in im 0.323 * * * [progress]: simplifying candidates 0.324 * [simplify]: Simplifying using # : (* (sin re) (exp im)) (+ (log (sin re)) im) (log (* (sin re) (exp im))) (exp (* (sin re) (exp im))) (* (* (* (sin re) (sin re)) (sin re)) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (* (sin re) (exp im))) (cbrt (* (sin re) (exp im)))) (cbrt (* (sin re) (exp im))) (* (* (* (sin re) (exp im)) (* (sin re) (exp im))) (* (sin re) (exp im))) (sqrt (* (sin re) (exp im))) (sqrt (* (sin re) (exp im))) (* (sqrt (sin re)) (sqrt (exp im))) (* (sqrt (sin re)) (sqrt (exp im))) (* (sin re) (* (cbrt (exp im)) (cbrt (exp im)))) (* (sin re) (sqrt (exp im))) (* (sin re) 1) (* (cbrt (sin re)) (exp im)) (* (sqrt (sin re)) (exp im)) (* (sin re) (exp im)) (* (sin re) (exp (- 0.0 im))) (+ (log (sin re)) (- 0.0 im)) (log (* (sin re) (exp (- 0.0 im)))) (exp (* (sin re) (exp (- 0.0 im)))) (* (* (* (sin re) (sin re)) (sin re)) (* (* (exp (- 0.0 im)) (exp (- 0.0 im))) (exp (- 0.0 im)))) (* (cbrt (* (sin re) (exp (- 0.0 im)))) (cbrt (* (sin re) (exp (- 0.0 im))))) (cbrt (* (sin re) (exp (- 0.0 im)))) (* (* (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp (- 0.0 im)))) (* (sin re) (exp (- 0.0 im)))) (sqrt (* (sin re) (exp (- 0.0 im)))) (sqrt (* (sin re) (exp (- 0.0 im)))) (* (sqrt (sin re)) (sqrt (exp (- 0.0 im)))) (* (sqrt (sin re)) (sqrt (exp (- 0.0 im)))) (* (sin re) (exp 0.0)) (* (sin re) (exp 0.0)) (* (sin re) (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))) (* (sin re) (sqrt (exp (- 0.0 im)))) (* (sin re) 1) (* (cbrt (sin re)) (exp (- 0.0 im))) (* (sqrt (sin re)) (exp (- 0.0 im))) (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp 0.0)) (* (exp (* 0.5 (* (sin re) (exp (- 0.0 im))))) (exp (* 0.5 (* (sin re) (exp im))))) (log (+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))) (exp (+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))) (* (cbrt (+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))) (cbrt (+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im)))))) (cbrt (+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))) (* (* (+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im)))) (+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))) (+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))) (sqrt (+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))) (sqrt (+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))) (+ (pow (* 0.5 (* (sin re) (exp (- 0.0 im)))) 3) (pow (* 0.5 (* (sin re) (exp im))) 3)) (+ (* (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp (- 0.0 im))))) (- (* (* 0.5 (* (sin re) (exp im))) (* 0.5 (* (sin re) (exp im)))) (* (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im)))))) (- (* (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp (- 0.0 im))))) (* (* 0.5 (* (sin re) (exp im))) (* 0.5 (* (sin re) (exp im))))) (- (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im)))) (+ (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp im))) (- (+ re (* re im)) (* 1/6 (pow re 3))) (* (exp im) (sin re)) (* (exp im) (sin re)) (- re (+ (* 1/6 (pow re 3)) (* re im))) (* (sin re) (exp (neg im))) (* (exp (* -1 im)) (sin re)) (- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3))) (+ (* 0.5 (* (sin re) (exp (neg im)))) (* 0.5 (* (exp im) (sin re)))) (+ (* 0.5 (* (exp (* -1 im)) (sin re))) (* 0.5 (* (exp im) (sin re)))) 0.349 * * [simplify]: iteration 0 : 4983 enodes (cost 577 ) 0.350 * * [simplify]: iteration 1 : 4983 enodes (cost 577 ) 0.353 * [simplify]: Simplified to: (* (sin re) (exp im)) (+ im (log (sin re))) (+ im (log (sin re))) (pow (exp (sin re)) (exp im)) (pow (* (sin re) (exp im)) 3) (* (cbrt (* (sin re) (exp im))) (cbrt (* (sin re) (exp im)))) (cbrt (* (sin re) (exp im))) (pow (* (sin re) (exp im)) 3) (sqrt (* (sin re) (exp im))) (sqrt (* (sin re) (exp im))) (* (sqrt (sin re)) (sqrt (exp im))) (* (sqrt (sin re)) (sqrt (exp im))) (* (sin re) (* (cbrt (exp im)) (cbrt (exp im)))) (* (sin re) (sqrt (exp im))) (sin re) (* (exp im) (cbrt (sin re))) (* (exp im) (sqrt (sin re))) (* (sin re) (exp im)) (* (sin re) (exp (- 0.0 im))) (+ (log (sin re)) (- 0.0 im)) (+ (log (sin re)) (- 0.0 im)) (pow (exp (sin re)) (exp (- 0.0 im))) (pow (* (sin re) (exp (- 0.0 im))) 3) (* (cbrt (* (sin re) (exp (- 0.0 im)))) (cbrt (* (sin re) (exp (- 0.0 im))))) (cbrt (* (sin re) (exp (- 0.0 im)))) (pow (* (sin re) (exp (- 0.0 im))) 3) (sqrt (* (sin re) (exp (- 0.0 im)))) (sqrt (* (sin re) (exp (- 0.0 im)))) (* (sqrt (sin re)) (sqrt (exp (- 0.0 im)))) (* (sqrt (sin re)) (sqrt (exp (- 0.0 im)))) (* (sin re) (exp 0.0)) (* (sin re) (exp 0.0)) (* (sin re) (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))) (* (sin re) (sqrt (exp (- 0.0 im)))) (sin re) (* (cbrt (sin re)) (exp (- 0.0 im))) (* (sqrt (sin re)) (exp (- 0.0 im))) (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp 0.0)) (pow (exp 0.5) (* (sin re) (+ (exp im) (exp (- 0.0 im))))) (log (* 0.5 (* (sin re) (+ (exp im) (exp (- 0.0 im)))))) (pow (exp 0.5) (* (sin re) (+ (exp im) (exp (- 0.0 im))))) (* (cbrt (* 0.5 (* (sin re) (+ (exp im) (exp (- 0.0 im)))))) (cbrt (* 0.5 (* (sin re) (+ (exp im) (exp (- 0.0 im))))))) (cbrt (* 0.5 (* (sin re) (+ (exp im) (exp (- 0.0 im)))))) (pow (* 0.5 (* (sin re) (+ (exp im) (exp (- 0.0 im))))) 3) (sqrt (* 0.5 (* (sin re) (+ (exp im) (exp (- 0.0 im)))))) (sqrt (* 0.5 (* (sin re) (+ (exp im) (exp (- 0.0 im)))))) (* (pow (* (sin re) 0.5) 3) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (* 0.5 (+ (* (* (sin re) (* (sin re) (pow (exp (- 0.0 im)) 2))) 0.5) (* (* (sin re) (exp im)) (* 0.5 (* (sin re) (- (exp im) (exp (- 0.0 im)))))))) (* 0.5 (* 0.5 (* (* (sin re) (sin re)) (- (pow (exp (- 0.0 im)) 2) (pow (exp im) 2))))) (* 0.5 (* (sin re) (- (exp (- 0.0 im)) (exp im)))) (* (sin re) (+ (exp im) (exp (- 0.0 im)))) (+ re (+ (* re im) (* (pow re 3) -1/6))) (* (sin re) (exp im)) (* (sin re) (exp im)) (+ re (- (* (pow re 3) -1/6) (* re im))) (/ (sin re) (exp im)) (/ (sin re) (exp im)) (- (* re (+ 1.0 (* 0.5 (* im im)))) (* (pow re 3) 0.16666666666666666)) (* (sin re) (* 0.5 (+ (exp im) (exp (neg im))))) (* (sin re) (* 0.5 (+ (exp im) (exp (neg im))))) 0.353 * * * [progress]: adding candidates to table 0.426 * * [progress]: iteration 3 / 4 0.426 * * * [progress]: picking best candidate 0.429 * * * * [pick]: Picked # 0.429 * * * [progress]: localizing error 0.441 * * * [progress]: generating rewritten candidates 0.441 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.453 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.476 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.482 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.492 * * * [progress]: generating series expansions 0.492 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.492 * [approximate]: Taking taylor expansion of (* (sqrt (+ (exp im) (exp (neg im)))) (sin re)) in (re im) around 0 0.492 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp im) (exp (neg im)))) (sin re)) in im 0.492 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (neg im)))) in im 0.492 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.492 * [taylor]: Taking taylor expansion of (exp im) in im 0.492 * [taylor]: Taking taylor expansion of im in im 0.492 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.492 * [taylor]: Taking taylor expansion of (neg im) in im 0.492 * [taylor]: Taking taylor expansion of im in im 0.493 * [taylor]: Taking taylor expansion of (sin re) in im 0.493 * [taylor]: Taking taylor expansion of re in im 0.493 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp im) (exp (neg im)))) (sin re)) in re 0.493 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (neg im)))) in re 0.493 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.493 * [taylor]: Taking taylor expansion of (exp im) in re 0.493 * [taylor]: Taking taylor expansion of im in re 0.493 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.493 * [taylor]: Taking taylor expansion of (neg im) in re 0.493 * [taylor]: Taking taylor expansion of im in re 0.493 * [taylor]: Taking taylor expansion of (sin re) in re 0.493 * [taylor]: Taking taylor expansion of re in re 0.493 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp im) (exp (neg im)))) (sin re)) in re 0.493 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (neg im)))) in re 0.493 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.493 * [taylor]: Taking taylor expansion of (exp im) in re 0.493 * [taylor]: Taking taylor expansion of im in re 0.493 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.493 * [taylor]: Taking taylor expansion of (neg im) in re 0.493 * [taylor]: Taking taylor expansion of im in re 0.494 * [taylor]: Taking taylor expansion of (sin re) in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [taylor]: Taking taylor expansion of 0 in im 0.494 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (neg im)))) in im 0.494 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.494 * [taylor]: Taking taylor expansion of (exp im) in im 0.494 * [taylor]: Taking taylor expansion of im in im 0.494 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.494 * [taylor]: Taking taylor expansion of (neg im) in im 0.494 * [taylor]: Taking taylor expansion of im in im 0.495 * [taylor]: Taking taylor expansion of 0 in im 0.496 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sqrt (+ (exp im) (exp (neg im)))))) in im 0.496 * [taylor]: Taking taylor expansion of (* 1/6 (sqrt (+ (exp im) (exp (neg im))))) in im 0.496 * [taylor]: Taking taylor expansion of 1/6 in im 0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (neg im)))) in im 0.496 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.496 * [taylor]: Taking taylor expansion of (exp im) in im 0.496 * [taylor]: Taking taylor expansion of im in im 0.496 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.496 * [taylor]: Taking taylor expansion of (neg im) in im 0.496 * [taylor]: Taking taylor expansion of im in im 0.497 * [approximate]: Taking taylor expansion of (* (sin (/ 1 re)) (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.497 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.497 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.497 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.497 * [taylor]: Taking taylor expansion of re in im 0.497 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.497 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.497 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.497 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.498 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.498 * [taylor]: Taking taylor expansion of im in im 0.498 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.498 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.498 * [taylor]: Taking taylor expansion of im in im 0.498 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.498 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.498 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.498 * [taylor]: Taking taylor expansion of re in re 0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.498 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.498 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.498 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.498 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.498 * [taylor]: Taking taylor expansion of im in re 0.498 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.498 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.498 * [taylor]: Taking taylor expansion of im in re 0.499 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.499 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.499 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.499 * [taylor]: Taking taylor expansion of re in re 0.499 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.499 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.499 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.499 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.499 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.499 * [taylor]: Taking taylor expansion of im in re 0.499 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.499 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.499 * [taylor]: Taking taylor expansion of im in re 0.500 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.500 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.500 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.500 * [taylor]: Taking taylor expansion of re in im 0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.500 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.500 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.500 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.500 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.500 * [taylor]: Taking taylor expansion of im in im 0.500 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.500 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.500 * [taylor]: Taking taylor expansion of im in im 0.501 * [taylor]: Taking taylor expansion of 0 in im 0.502 * [taylor]: Taking taylor expansion of 0 in im 0.503 * [taylor]: Taking taylor expansion of 0 in im 0.503 * [approximate]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re))) in (re im) around 0 0.504 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re))) in im 0.504 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.504 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.504 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.504 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.504 * [taylor]: Taking taylor expansion of -1 in im 0.504 * [taylor]: Taking taylor expansion of im in im 0.504 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.504 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.504 * [taylor]: Taking taylor expansion of im in im 0.504 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.504 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.504 * [taylor]: Taking taylor expansion of -1 in im 0.504 * [taylor]: Taking taylor expansion of re in im 0.504 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re))) in re 0.504 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 0.504 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.504 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.504 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.504 * [taylor]: Taking taylor expansion of -1 in re 0.504 * [taylor]: Taking taylor expansion of im in re 0.504 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.504 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.504 * [taylor]: Taking taylor expansion of im in re 0.505 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.505 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.505 * [taylor]: Taking taylor expansion of -1 in re 0.505 * [taylor]: Taking taylor expansion of re in re 0.505 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re))) in re 0.505 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 0.505 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.505 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.505 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.505 * [taylor]: Taking taylor expansion of -1 in re 0.505 * [taylor]: Taking taylor expansion of im in re 0.505 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.505 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.505 * [taylor]: Taking taylor expansion of im in re 0.506 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.506 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.506 * [taylor]: Taking taylor expansion of -1 in re 0.506 * [taylor]: Taking taylor expansion of re in re 0.506 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re))) in im 0.506 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.506 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.506 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.506 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.506 * [taylor]: Taking taylor expansion of -1 in im 0.506 * [taylor]: Taking taylor expansion of im in im 0.506 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.506 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.506 * [taylor]: Taking taylor expansion of im in im 0.506 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.506 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.506 * [taylor]: Taking taylor expansion of -1 in im 0.506 * [taylor]: Taking taylor expansion of re in im 0.507 * [taylor]: Taking taylor expansion of 0 in im 0.508 * [taylor]: Taking taylor expansion of 0 in im 0.509 * [taylor]: Taking taylor expansion of 0 in im 0.509 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.509 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (sin re))) in (re im) around 0 0.509 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (sin re))) in im 0.509 * [taylor]: Taking taylor expansion of 0.5 in im 0.510 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (sin re)) in im 0.510 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.510 * [taylor]: Taking taylor expansion of (exp im) in im 0.510 * [taylor]: Taking taylor expansion of im in im 0.510 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.510 * [taylor]: Taking taylor expansion of (neg im) in im 0.510 * [taylor]: Taking taylor expansion of im in im 0.510 * [taylor]: Taking taylor expansion of (sin re) in im 0.510 * [taylor]: Taking taylor expansion of re in im 0.510 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (sin re))) in re 0.510 * [taylor]: Taking taylor expansion of 0.5 in re 0.510 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (sin re)) in re 0.510 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.510 * [taylor]: Taking taylor expansion of (exp im) in re 0.510 * [taylor]: Taking taylor expansion of im in re 0.510 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.510 * [taylor]: Taking taylor expansion of (neg im) in re 0.510 * [taylor]: Taking taylor expansion of im in re 0.510 * [taylor]: Taking taylor expansion of (sin re) in re 0.510 * [taylor]: Taking taylor expansion of re in re 0.510 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (sin re))) in re 0.510 * [taylor]: Taking taylor expansion of 0.5 in re 0.510 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (sin re)) in re 0.510 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.510 * [taylor]: Taking taylor expansion of (exp im) in re 0.510 * [taylor]: Taking taylor expansion of im in re 0.510 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.510 * [taylor]: Taking taylor expansion of (neg im) in re 0.510 * [taylor]: Taking taylor expansion of im in re 0.510 * [taylor]: Taking taylor expansion of (sin re) in re 0.510 * [taylor]: Taking taylor expansion of re in re 0.510 * [taylor]: Taking taylor expansion of 0 in im 0.511 * [taylor]: Taking taylor expansion of (+ (* 0.5 (exp im)) (* 0.5 (exp (neg im)))) in im 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.511 * [taylor]: Taking taylor expansion of 0.5 in im 0.511 * [taylor]: Taking taylor expansion of (exp im) in im 0.511 * [taylor]: Taking taylor expansion of im in im 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (exp (neg im))) in im 0.511 * [taylor]: Taking taylor expansion of 0.5 in im 0.511 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.511 * [taylor]: Taking taylor expansion of (neg im) in im 0.511 * [taylor]: Taking taylor expansion of im in im 0.512 * [taylor]: Taking taylor expansion of 0 in im 0.513 * [taylor]: Taking taylor expansion of (neg (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (neg im))))) in im 0.513 * [taylor]: Taking taylor expansion of (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (neg im)))) in im 0.513 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (exp im)) in im 0.513 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 0.513 * [taylor]: Taking taylor expansion of (exp im) in im 0.513 * [taylor]: Taking taylor expansion of im in im 0.513 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (exp (neg im))) in im 0.513 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 0.513 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.513 * [taylor]: Taking taylor expansion of (neg im) in im 0.513 * [taylor]: Taking taylor expansion of im in im 0.516 * [approximate]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.516 * [taylor]: Taking taylor expansion of 0.5 in im 0.516 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.516 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.516 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.516 * [taylor]: Taking taylor expansion of re in im 0.516 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.516 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.516 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.516 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.516 * [taylor]: Taking taylor expansion of im in im 0.516 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.516 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.516 * [taylor]: Taking taylor expansion of im in im 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.516 * [taylor]: Taking taylor expansion of 0.5 in re 0.516 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.516 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.516 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.516 * [taylor]: Taking taylor expansion of re in re 0.516 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.516 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.516 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.516 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.517 * [taylor]: Taking taylor expansion of im in re 0.517 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.517 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.517 * [taylor]: Taking taylor expansion of im in re 0.517 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.517 * [taylor]: Taking taylor expansion of 0.5 in re 0.517 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.517 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.517 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.517 * [taylor]: Taking taylor expansion of re in re 0.517 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.517 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.517 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.517 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.517 * [taylor]: Taking taylor expansion of im in re 0.517 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.517 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.517 * [taylor]: Taking taylor expansion of im in re 0.517 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.517 * [taylor]: Taking taylor expansion of 0.5 in im 0.517 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.517 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.517 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.517 * [taylor]: Taking taylor expansion of re in im 0.518 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.518 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.518 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.518 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.518 * [taylor]: Taking taylor expansion of im in im 0.518 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.518 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.518 * [taylor]: Taking taylor expansion of im in im 0.519 * [taylor]: Taking taylor expansion of 0 in im 0.520 * [taylor]: Taking taylor expansion of 0 in im 0.522 * [taylor]: Taking taylor expansion of 0 in im 0.522 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in (re im) around 0 0.522 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in im 0.522 * [taylor]: Taking taylor expansion of 0.5 in im 0.522 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 0.522 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.522 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.522 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.522 * [taylor]: Taking taylor expansion of -1 in im 0.522 * [taylor]: Taking taylor expansion of im in im 0.522 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.522 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.522 * [taylor]: Taking taylor expansion of im in im 0.522 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.522 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.522 * [taylor]: Taking taylor expansion of -1 in im 0.522 * [taylor]: Taking taylor expansion of re in im 0.522 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in re 0.522 * [taylor]: Taking taylor expansion of 0.5 in re 0.522 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 0.522 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.522 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.522 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.522 * [taylor]: Taking taylor expansion of -1 in re 0.522 * [taylor]: Taking taylor expansion of im in re 0.523 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.523 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.523 * [taylor]: Taking taylor expansion of im in re 0.523 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.523 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.523 * [taylor]: Taking taylor expansion of -1 in re 0.523 * [taylor]: Taking taylor expansion of re in re 0.523 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in re 0.523 * [taylor]: Taking taylor expansion of 0.5 in re 0.523 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 0.523 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.523 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.523 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.523 * [taylor]: Taking taylor expansion of -1 in re 0.523 * [taylor]: Taking taylor expansion of im in re 0.523 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.523 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.523 * [taylor]: Taking taylor expansion of im in re 0.523 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.523 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.523 * [taylor]: Taking taylor expansion of -1 in re 0.523 * [taylor]: Taking taylor expansion of re in re 0.523 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in im 0.523 * [taylor]: Taking taylor expansion of 0.5 in im 0.523 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 0.523 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.523 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.523 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.523 * [taylor]: Taking taylor expansion of -1 in im 0.523 * [taylor]: Taking taylor expansion of im in im 0.524 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.524 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.524 * [taylor]: Taking taylor expansion of im in im 0.524 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.524 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.524 * [taylor]: Taking taylor expansion of -1 in im 0.524 * [taylor]: Taking taylor expansion of re in im 0.525 * [taylor]: Taking taylor expansion of 0 in im 0.526 * [taylor]: Taking taylor expansion of 0 in im 0.527 * [taylor]: Taking taylor expansion of 0 in im 0.527 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.527 * [approximate]: Taking taylor expansion of (sqrt (+ (exp im) (exp (neg im)))) in (im) around 0 0.527 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (neg im)))) in im 0.527 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.527 * [taylor]: Taking taylor expansion of (exp im) in im 0.527 * [taylor]: Taking taylor expansion of im in im 0.527 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.527 * [taylor]: Taking taylor expansion of (neg im) in im 0.527 * [taylor]: Taking taylor expansion of im in im 0.528 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (neg im)))) in im 0.528 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.528 * [taylor]: Taking taylor expansion of (exp im) in im 0.528 * [taylor]: Taking taylor expansion of im in im 0.528 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.528 * [taylor]: Taking taylor expansion of (neg im) in im 0.528 * [taylor]: Taking taylor expansion of im in im 0.530 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 0.531 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.531 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.531 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.531 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.531 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.531 * [taylor]: Taking taylor expansion of im in im 0.531 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.531 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.531 * [taylor]: Taking taylor expansion of im in im 0.531 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.531 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.531 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.531 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.531 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.531 * [taylor]: Taking taylor expansion of im in im 0.531 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.531 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.531 * [taylor]: Taking taylor expansion of im in im 0.532 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 0.532 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.532 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.533 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.533 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.533 * [taylor]: Taking taylor expansion of -1 in im 0.533 * [taylor]: Taking taylor expansion of im in im 0.533 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.533 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.533 * [taylor]: Taking taylor expansion of im in im 0.533 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.533 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.533 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.533 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.533 * [taylor]: Taking taylor expansion of -1 in im 0.533 * [taylor]: Taking taylor expansion of im in im 0.533 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.533 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.533 * [taylor]: Taking taylor expansion of im in im 0.534 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 0.534 * [approximate]: Taking taylor expansion of (sqrt (+ (exp im) (exp (neg im)))) in (im) around 0 0.534 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (neg im)))) in im 0.534 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.534 * [taylor]: Taking taylor expansion of (exp im) in im 0.534 * [taylor]: Taking taylor expansion of im in im 0.534 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.534 * [taylor]: Taking taylor expansion of (neg im) in im 0.534 * [taylor]: Taking taylor expansion of im in im 0.535 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (neg im)))) in im 0.535 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.535 * [taylor]: Taking taylor expansion of (exp im) in im 0.535 * [taylor]: Taking taylor expansion of im in im 0.535 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.535 * [taylor]: Taking taylor expansion of (neg im) in im 0.535 * [taylor]: Taking taylor expansion of im in im 0.537 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 0.537 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.537 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.537 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.537 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.537 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.537 * [taylor]: Taking taylor expansion of im in im 0.537 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.537 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.537 * [taylor]: Taking taylor expansion of im in im 0.538 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.538 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.538 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.538 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.538 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.538 * [taylor]: Taking taylor expansion of im in im 0.538 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.538 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.538 * [taylor]: Taking taylor expansion of im in im 0.539 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 0.539 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.539 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.539 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.539 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.539 * [taylor]: Taking taylor expansion of -1 in im 0.539 * [taylor]: Taking taylor expansion of im in im 0.539 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.539 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.539 * [taylor]: Taking taylor expansion of im in im 0.540 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.540 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.540 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.540 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.540 * [taylor]: Taking taylor expansion of -1 in im 0.540 * [taylor]: Taking taylor expansion of im in im 0.540 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.540 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.540 * [taylor]: Taking taylor expansion of im in im 0.541 * * * [progress]: simplifying candidates 0.542 * [simplify]: Simplifying using # : (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (+ (log (sin re)) (log (sqrt (+ (exp (- 0.0 im)) (exp im))))) (log (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (exp (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* (sin re) (sin re)) (sin re)) (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (cbrt (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (cbrt (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (sqrt (sin re)) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (sqrt (sin re)) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (sqrt (sin re)) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (sqrt (sin re)) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (sin re) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (* (sin re) (sqrt (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))) (* (sin re) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (sin re) (sqrt 1)) (* (sin re) (sqrt 1)) (* (sin re) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (sin re) 1) (* (cbrt (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (sqrt (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (sin re) (sqrt (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))) (* (sin re) (sqrt (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im))))) (* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (+ (+ (log 0.5) (+ (log (sin re)) (log (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (log (sqrt (+ (exp (- 0.0 im)) (exp im))))) (+ (+ (log 0.5) (log (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (log (sqrt (+ (exp (- 0.0 im)) (exp im))))) (+ (log (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (log (sqrt (+ (exp (- 0.0 im)) (exp im))))) (log (* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (exp (* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* (* 0.5 0.5) 0.5) (* (* (* (sin re) (sin re)) (sin re)) (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* (* 0.5 0.5) 0.5) (* (* (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (cbrt (* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (cbrt (* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 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(* (sin re) (* 0.5 (+ (exp im) (exp (neg im))))) (+ (sqrt 2) (+ (* 1/2 (* (/ im (sqrt 2)) im)) (* (/ (pow im 4) (sqrt 2)) -1/48))) (sqrt (+ (exp im) (exp (neg im)))) (sqrt (+ (exp im) (exp (neg im)))) (+ (sqrt 2) (+ (* 1/2 (* (/ im (sqrt 2)) im)) (* (/ (pow im 4) (sqrt 2)) -1/48))) (sqrt (+ (exp im) (exp (neg im)))) (sqrt (+ (exp im) (exp (neg im)))) 0.588 * * * [progress]: adding candidates to table 0.750 * [progress]: [Phase 3 of 3] Extracting. 0.750 * * [regime]: Finding splitpoints for: (# # #) 0.751 * * * [regime-changes]: Trying 6 branch expressions: ((+ (exp (- 0.0 im)) (exp im)) (sin re) (* 0.5 (sin re)) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) im re) 0.751 * * * * [regimes]: Trying to branch on (+ (exp (- 0.0 im)) (exp im)) from (# # #) 0.788 * * * * [regimes]: Trying to branch on (sin re) from (# # #) 0.827 * * * * [regimes]: Trying to branch on (* 0.5 (sin re)) from (# # #) 0.867 * * * * [regimes]: Trying to branch on (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) from (# # #) 0.916 * * * * [regimes]: Trying to branch on im from (# # #) 0.951 * * * * [regimes]: Trying to branch on re from (# # #) 0.985 * * * [regime]: Found split indices: #