15.551 * [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. 0.108 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.110 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.112 * * [simplify]: iteration 1 : 60 enodes (cost 7 ) 0.114 * * [simplify]: iteration 2 : 112 enodes (cost 7 ) 0.116 * * [simplify]: iteration 3 : 236 enodes (cost 7 ) 0.119 * * [simplify]: iteration 4 : 520 enodes (cost 6 ) 0.123 * * [simplify]: iteration 5 : 702 enodes (cost 6 ) 0.131 * * [simplify]: iteration 6 : 1514 enodes (cost 6 ) 0.142 * * [simplify]: iteration 7 : 2284 enodes (cost 6 ) 0.181 * * [simplify]: iteration 8 : 5001 enodes (cost 6 ) 0.182 * [simplify]: Simplified to: (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 0.185 * * [progress]: iteration 1 / 4 0.185 * * * [progress]: picking best candidate 0.187 * * * * [pick]: Picked # 0.187 * * * [progress]: localizing error 0.196 * * * [progress]: generating rewritten candidates 0.196 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.226 * * * [progress]: generating series expansions 0.226 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.227 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.227 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.227 * [taylor]: Taking taylor expansion of 0.5 in im 0.227 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.227 * [taylor]: Taking taylor expansion of (cos re) in im 0.227 * [taylor]: Taking taylor expansion of re in im 0.227 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.227 * [taylor]: Taking taylor expansion of (exp im) in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.227 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.227 * [taylor]: Taking taylor expansion of (- im) in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.228 * [taylor]: Taking taylor expansion of 0.5 in re 0.228 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.228 * [taylor]: Taking taylor expansion of (cos re) in re 0.228 * [taylor]: Taking taylor expansion of re in re 0.228 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.228 * [taylor]: Taking taylor expansion of (exp im) in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.228 * [taylor]: Taking taylor expansion of (- im) in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.228 * [taylor]: Taking taylor expansion of 0.5 in re 0.228 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.228 * [taylor]: Taking taylor expansion of (cos re) in re 0.228 * [taylor]: Taking taylor expansion of re in re 0.228 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.228 * [taylor]: Taking taylor expansion of (exp im) in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.228 * [taylor]: Taking taylor expansion of (- im) in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.228 * [taylor]: Taking taylor expansion of 0.5 in im 0.228 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.228 * [taylor]: Taking taylor expansion of (exp im) in im 0.228 * [taylor]: Taking taylor expansion of im in im 0.228 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.228 * [taylor]: Taking taylor expansion of (- im) in im 0.228 * [taylor]: Taking taylor expansion of im in im 0.232 * [taylor]: Taking taylor expansion of 0 in im 0.238 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.238 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.238 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.238 * [taylor]: Taking taylor expansion of 0.25 in im 0.238 * [taylor]: Taking taylor expansion of (exp im) in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.238 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.238 * [taylor]: Taking taylor expansion of 0.25 in im 0.238 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.238 * [taylor]: Taking taylor expansion of (- im) in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.245 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.245 * [taylor]: Taking taylor expansion of 0.5 in im 0.245 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.245 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.245 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.245 * [taylor]: Taking taylor expansion of re in im 0.245 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.245 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.245 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.245 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.245 * [taylor]: Taking taylor expansion of im in im 0.246 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.246 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.246 * [taylor]: Taking taylor expansion of im in im 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.247 * [taylor]: Taking taylor expansion of 0.5 in re 0.247 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.247 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.247 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.247 * [taylor]: Taking taylor expansion of re in re 0.247 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.247 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.247 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.247 * [taylor]: Taking taylor expansion of im in re 0.247 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.247 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.247 * [taylor]: Taking taylor expansion of im in re 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.247 * [taylor]: Taking taylor expansion of 0.5 in re 0.247 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.247 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.247 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.247 * [taylor]: Taking taylor expansion of re in re 0.248 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.248 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.248 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.248 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.248 * [taylor]: Taking taylor expansion of im in re 0.248 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.248 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.248 * [taylor]: Taking taylor expansion of im in re 0.248 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.248 * [taylor]: Taking taylor expansion of 0.5 in im 0.248 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.249 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.249 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.249 * [taylor]: Taking taylor expansion of re in im 0.249 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.249 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.249 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.249 * [taylor]: Taking taylor expansion of im in im 0.249 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.249 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.249 * [taylor]: Taking taylor expansion of im in im 0.253 * [taylor]: Taking taylor expansion of 0 in im 0.258 * [taylor]: Taking taylor expansion of 0 in im 0.267 * [taylor]: Taking taylor expansion of 0 in im 0.267 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.267 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.267 * [taylor]: Taking taylor expansion of 0.5 in im 0.267 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.267 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.267 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.267 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.267 * [taylor]: Taking taylor expansion of -1 in im 0.267 * [taylor]: Taking taylor expansion of im in im 0.267 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.267 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.267 * [taylor]: Taking taylor expansion of im in im 0.268 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.268 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.268 * [taylor]: Taking taylor expansion of -1 in im 0.268 * [taylor]: Taking taylor expansion of re in im 0.268 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.268 * [taylor]: Taking taylor expansion of 0.5 in re 0.268 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.268 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.268 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.268 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.268 * [taylor]: Taking taylor expansion of -1 in re 0.268 * [taylor]: Taking taylor expansion of im in re 0.268 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.268 * [taylor]: Taking taylor expansion of im in re 0.268 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.268 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.268 * [taylor]: Taking taylor expansion of -1 in re 0.268 * [taylor]: Taking taylor expansion of re in re 0.269 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.269 * [taylor]: Taking taylor expansion of 0.5 in re 0.269 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.269 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.269 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.269 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.269 * [taylor]: Taking taylor expansion of -1 in re 0.269 * [taylor]: Taking taylor expansion of im in re 0.269 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.269 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.269 * [taylor]: Taking taylor expansion of im in re 0.269 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.269 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.269 * [taylor]: Taking taylor expansion of -1 in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.270 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.270 * [taylor]: Taking taylor expansion of 0.5 in im 0.270 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.270 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.270 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.270 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.270 * [taylor]: Taking taylor expansion of -1 in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.270 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.270 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.270 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.270 * [taylor]: Taking taylor expansion of -1 in im 0.270 * [taylor]: Taking taylor expansion of re in im 0.273 * [taylor]: Taking taylor expansion of 0 in im 0.278 * [taylor]: Taking taylor expansion of 0 in im 0.286 * [taylor]: Taking taylor expansion of 0 in im 0.286 * * * [progress]: simplifying candidates 0.286 * [simplify]: Simplifying using # : (expm1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log1p (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (- im)) (exp im)))) (+ (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (exp (- im))) (* (* 0.5 (cos re)) (exp im)) (* (exp (- im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.290 * * [simplify]: iteration 0 : 219 enodes (cost 263 ) 0.296 * * [simplify]: iteration 1 : 1151 enodes (cost 215 ) 0.321 * * [simplify]: iteration 2 : 5001 enodes (cost 213 ) 0.322 * [simplify]: Simplified to: (expm1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log1p (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (cos re) (+ (exp im) (exp (- im)))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* (fma (- (exp im)) (exp im) (pow (exp -1) (* 2 im))) (cos re)) 0.5) (fma (pow im 2) 0.5 (- 1.0 (* 0.5 (pow re 2)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.322 * * * [progress]: adding candidates to table 0.376 * * [progress]: iteration 2 / 4 0.376 * * * [progress]: picking best candidate 0.381 * * * * [pick]: Picked # 0.381 * * * [progress]: localizing error 0.393 * * * [progress]: generating rewritten candidates 0.393 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.398 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.407 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.419 * * * [progress]: generating series expansions 0.419 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.419 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 0.419 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.419 * [taylor]: Taking taylor expansion of 0.5 in im 0.419 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.419 * [taylor]: Taking taylor expansion of (cos re) in im 0.419 * [taylor]: Taking taylor expansion of re in im 0.419 * [taylor]: Taking taylor expansion of (exp im) in im 0.419 * [taylor]: Taking taylor expansion of im in im 0.420 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.420 * [taylor]: Taking taylor expansion of 0.5 in re 0.420 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.420 * [taylor]: Taking taylor expansion of (cos re) in re 0.420 * [taylor]: Taking taylor expansion of re in re 0.420 * [taylor]: Taking taylor expansion of (exp im) in re 0.420 * [taylor]: Taking taylor expansion of im in re 0.420 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.420 * [taylor]: Taking taylor expansion of 0.5 in re 0.420 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.420 * [taylor]: Taking taylor expansion of (cos re) in re 0.420 * [taylor]: Taking taylor expansion of re in re 0.420 * [taylor]: Taking taylor expansion of (exp im) in re 0.420 * [taylor]: Taking taylor expansion of im in re 0.420 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.420 * [taylor]: Taking taylor expansion of 0.5 in im 0.420 * [taylor]: Taking taylor expansion of (exp im) in im 0.420 * [taylor]: Taking taylor expansion of im in im 0.422 * [taylor]: Taking taylor expansion of 0 in im 0.426 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 0.426 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.426 * [taylor]: Taking taylor expansion of 0.25 in im 0.426 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.426 * [taylor]: Taking taylor expansion of (exp im) in im 0.426 * [taylor]: Taking taylor expansion of im in im 0.428 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.428 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.428 * [taylor]: Taking taylor expansion of 0.5 in im 0.428 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.428 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.428 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.428 * [taylor]: Taking taylor expansion of re in im 0.428 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.428 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.428 * [taylor]: Taking taylor expansion of im in im 0.429 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.429 * [taylor]: Taking taylor expansion of 0.5 in re 0.429 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.429 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.429 * [taylor]: Taking taylor expansion of re in re 0.429 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.429 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.429 * [taylor]: Taking taylor expansion of im in re 0.430 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.430 * [taylor]: Taking taylor expansion of 0.5 in re 0.430 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.430 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.430 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.430 * [taylor]: Taking taylor expansion of re in re 0.430 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.430 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.430 * [taylor]: Taking taylor expansion of im in re 0.430 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.430 * [taylor]: Taking taylor expansion of 0.5 in im 0.430 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.430 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.430 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.430 * [taylor]: Taking taylor expansion of re in im 0.430 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.430 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.430 * [taylor]: Taking taylor expansion of im in im 0.432 * [taylor]: Taking taylor expansion of 0 in im 0.436 * [taylor]: Taking taylor expansion of 0 in im 0.441 * [taylor]: Taking taylor expansion of 0 in im 0.442 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 0.442 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.442 * [taylor]: Taking taylor expansion of 0.5 in im 0.442 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.442 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.442 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.442 * [taylor]: Taking taylor expansion of -1 in im 0.442 * [taylor]: Taking taylor expansion of re in im 0.442 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.442 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.442 * [taylor]: Taking taylor expansion of -1 in im 0.442 * [taylor]: Taking taylor expansion of im in im 0.443 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.443 * [taylor]: Taking taylor expansion of 0.5 in re 0.443 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.443 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.443 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.443 * [taylor]: Taking taylor expansion of -1 in re 0.443 * [taylor]: Taking taylor expansion of re in re 0.443 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.443 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.443 * [taylor]: Taking taylor expansion of -1 in re 0.443 * [taylor]: Taking taylor expansion of im in re 0.443 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.443 * [taylor]: Taking taylor expansion of 0.5 in re 0.443 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.443 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.443 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.443 * [taylor]: Taking taylor expansion of -1 in re 0.443 * [taylor]: Taking taylor expansion of re in re 0.444 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.444 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.444 * [taylor]: Taking taylor expansion of -1 in re 0.444 * [taylor]: Taking taylor expansion of im in re 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.444 * [taylor]: Taking taylor expansion of 0.5 in im 0.444 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.444 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.444 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.444 * [taylor]: Taking taylor expansion of -1 in im 0.444 * [taylor]: Taking taylor expansion of re in im 0.444 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.444 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.444 * [taylor]: Taking taylor expansion of -1 in im 0.444 * [taylor]: Taking taylor expansion of im in im 0.446 * [taylor]: Taking taylor expansion of 0 in im 0.450 * [taylor]: Taking taylor expansion of 0 in im 0.456 * [taylor]: Taking taylor expansion of 0 in im 0.456 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.456 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 0.456 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.456 * [taylor]: Taking taylor expansion of 0.5 in im 0.456 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.456 * [taylor]: Taking taylor expansion of (exp im) in im 0.456 * [taylor]: Taking taylor expansion of im in im 0.456 * [taylor]: Taking taylor expansion of (cos re) in im 0.456 * [taylor]: Taking taylor expansion of re in im 0.456 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.456 * [taylor]: Taking taylor expansion of 0.5 in re 0.456 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.456 * [taylor]: Taking taylor expansion of (exp im) in re 0.456 * [taylor]: Taking taylor expansion of im in re 0.456 * [taylor]: Taking taylor expansion of (cos re) in re 0.456 * [taylor]: Taking taylor expansion of re in re 0.456 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.456 * [taylor]: Taking taylor expansion of 0.5 in re 0.456 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.456 * [taylor]: Taking taylor expansion of (exp im) in re 0.456 * [taylor]: Taking taylor expansion of im in re 0.456 * [taylor]: Taking taylor expansion of (cos re) in re 0.456 * [taylor]: Taking taylor expansion of re in re 0.457 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.457 * [taylor]: Taking taylor expansion of 0.5 in im 0.457 * [taylor]: Taking taylor expansion of (exp im) in im 0.457 * [taylor]: Taking taylor expansion of im in im 0.458 * [taylor]: Taking taylor expansion of 0 in im 0.462 * [taylor]: Taking taylor expansion of (- (* 0.25 (exp im))) in im 0.462 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.462 * [taylor]: Taking taylor expansion of 0.25 in im 0.462 * [taylor]: Taking taylor expansion of (exp im) in im 0.462 * [taylor]: Taking taylor expansion of im in im 0.463 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.463 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.463 * [taylor]: Taking taylor expansion of 0.5 in im 0.463 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.463 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.463 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.463 * [taylor]: Taking taylor expansion of re in im 0.463 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.463 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.463 * [taylor]: Taking taylor expansion of im in im 0.464 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.464 * [taylor]: Taking taylor expansion of 0.5 in re 0.464 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.464 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.464 * [taylor]: Taking taylor expansion of re in re 0.464 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.464 * [taylor]: Taking taylor expansion of im in re 0.464 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.464 * [taylor]: Taking taylor expansion of 0.5 in re 0.464 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.464 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.464 * [taylor]: Taking taylor expansion of re in re 0.464 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.465 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.465 * [taylor]: Taking taylor expansion of im in re 0.465 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.465 * [taylor]: Taking taylor expansion of 0.5 in im 0.465 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.465 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.465 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.465 * [taylor]: Taking taylor expansion of re in im 0.465 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.465 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.465 * [taylor]: Taking taylor expansion of im in im 0.467 * [taylor]: Taking taylor expansion of 0 in im 0.471 * [taylor]: Taking taylor expansion of 0 in im 0.476 * [taylor]: Taking taylor expansion of 0 in im 0.476 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 0.476 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.476 * [taylor]: Taking taylor expansion of 0.5 in im 0.476 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.476 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.477 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.477 * [taylor]: Taking taylor expansion of -1 in im 0.477 * [taylor]: Taking taylor expansion of im in im 0.477 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.477 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.477 * [taylor]: Taking taylor expansion of -1 in im 0.477 * [taylor]: Taking taylor expansion of re in im 0.477 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.477 * [taylor]: Taking taylor expansion of 0.5 in re 0.477 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.477 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.477 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.477 * [taylor]: Taking taylor expansion of -1 in re 0.477 * [taylor]: Taking taylor expansion of im in re 0.477 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.477 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.477 * [taylor]: Taking taylor expansion of -1 in re 0.477 * [taylor]: Taking taylor expansion of re in re 0.478 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.478 * [taylor]: Taking taylor expansion of 0.5 in re 0.478 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.478 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.478 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.478 * [taylor]: Taking taylor expansion of -1 in re 0.478 * [taylor]: Taking taylor expansion of im in re 0.478 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.478 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.478 * [taylor]: Taking taylor expansion of -1 in re 0.478 * [taylor]: Taking taylor expansion of re in re 0.478 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.478 * [taylor]: Taking taylor expansion of 0.5 in im 0.478 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.478 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.478 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.478 * [taylor]: Taking taylor expansion of -1 in im 0.478 * [taylor]: Taking taylor expansion of im in im 0.479 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.479 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.479 * [taylor]: Taking taylor expansion of -1 in im 0.479 * [taylor]: Taking taylor expansion of re in im 0.480 * [taylor]: Taking taylor expansion of 0 in im 0.487 * [taylor]: Taking taylor expansion of 0 in im 0.493 * [taylor]: Taking taylor expansion of 0 in im 0.493 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.493 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 0.493 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 0.493 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.493 * [taylor]: Taking taylor expansion of 0.5 in im 0.493 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.493 * [taylor]: Taking taylor expansion of (exp im) in im 0.493 * [taylor]: Taking taylor expansion of im in im 0.493 * [taylor]: Taking taylor expansion of (cos re) in im 0.493 * [taylor]: Taking taylor expansion of re in im 0.493 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.493 * [taylor]: Taking taylor expansion of 0.5 in im 0.493 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.493 * [taylor]: Taking taylor expansion of (cos re) in im 0.493 * [taylor]: Taking taylor expansion of re 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 (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.494 * [taylor]: Taking taylor expansion of 0.5 in re 0.494 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.494 * [taylor]: Taking taylor expansion of (exp im) in re 0.494 * [taylor]: Taking taylor expansion of im in re 0.494 * [taylor]: Taking taylor expansion of (cos re) in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.494 * [taylor]: Taking taylor expansion of 0.5 in re 0.494 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.494 * [taylor]: Taking taylor expansion of (cos re) in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [taylor]: Taking taylor expansion of (exp im) in re 0.494 * [taylor]: Taking taylor expansion of im in re 0.494 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.494 * [taylor]: Taking taylor expansion of 0.5 in re 0.494 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.494 * [taylor]: Taking taylor expansion of (exp im) in re 0.494 * [taylor]: Taking taylor expansion of im in re 0.494 * [taylor]: Taking taylor expansion of (cos re) in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.494 * [taylor]: Taking taylor expansion of 0.5 in re 0.494 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.494 * [taylor]: Taking taylor expansion of (cos re) in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [taylor]: Taking taylor expansion of (exp im) in re 0.494 * [taylor]: Taking taylor expansion of im in re 0.495 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 0.495 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 0.495 * [taylor]: Taking taylor expansion of 0.5 in im 0.495 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.495 * [taylor]: Taking taylor expansion of (exp im) in im 0.495 * [taylor]: Taking taylor expansion of im in im 0.495 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.495 * [taylor]: Taking taylor expansion of 0.5 in im 0.495 * [taylor]: Taking taylor expansion of (exp im) in im 0.495 * [taylor]: Taking taylor expansion of im in im 0.499 * [taylor]: Taking taylor expansion of 0 in im 0.506 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 0.506 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 0.506 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.506 * [taylor]: Taking taylor expansion of 0.25 in im 0.506 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.506 * [taylor]: Taking taylor expansion of (exp im) in im 0.506 * [taylor]: Taking taylor expansion of im in im 0.507 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.507 * [taylor]: Taking taylor expansion of 0.25 in im 0.507 * [taylor]: Taking taylor expansion of (exp im) in im 0.507 * [taylor]: Taking taylor expansion of im in im 0.513 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in (re im) around 0 0.513 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.514 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.514 * [taylor]: Taking taylor expansion of 0.5 in im 0.514 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.514 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.514 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.514 * [taylor]: Taking taylor expansion of re in im 0.514 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.514 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.514 * [taylor]: Taking taylor expansion of im in im 0.514 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.514 * [taylor]: Taking taylor expansion of 0.5 in im 0.514 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.514 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.514 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.514 * [taylor]: Taking taylor expansion of re in im 0.514 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.514 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.514 * [taylor]: Taking taylor expansion of im in im 0.515 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.515 * [taylor]: Taking taylor expansion of 0.5 in re 0.515 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.515 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.515 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.515 * [taylor]: Taking taylor expansion of re in re 0.515 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.515 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.515 * [taylor]: Taking taylor expansion of im in re 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.515 * [taylor]: Taking taylor expansion of 0.5 in re 0.515 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.516 * [taylor]: Taking taylor expansion of (cos (/ 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 (/ 1 im)) in re 0.516 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.516 * [taylor]: Taking taylor expansion of im in re 0.516 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.516 * [taylor]: Taking taylor expansion of 0.5 in re 0.516 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.516 * [taylor]: Taking taylor expansion of (cos (/ 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 (/ 1 im)) in re 0.516 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.516 * [taylor]: Taking taylor expansion of im in re 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.517 * [taylor]: Taking taylor expansion of 0.5 in re 0.517 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.517 * [taylor]: Taking taylor expansion of (cos (/ 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 (/ 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 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.517 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.517 * [taylor]: Taking taylor expansion of 0.5 in im 0.517 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.518 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.518 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.518 * [taylor]: Taking taylor expansion of re 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 0.518 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.518 * [taylor]: Taking taylor expansion of 0.5 in im 0.518 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.518 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.518 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.518 * [taylor]: Taking taylor expansion of re 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 0.522 * [taylor]: Taking taylor expansion of 0 in im 0.530 * [taylor]: Taking taylor expansion of 0 in im 0.541 * [taylor]: Taking taylor expansion of 0 in im 0.541 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in (re im) around 0 0.542 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.542 * [taylor]: Taking taylor expansion of 0.5 in im 0.542 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.542 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.542 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.542 * [taylor]: Taking taylor expansion of -1 in im 0.542 * [taylor]: Taking taylor expansion of re in im 0.542 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.542 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.542 * [taylor]: Taking taylor expansion of -1 in im 0.542 * [taylor]: Taking taylor expansion of im in im 0.543 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.543 * [taylor]: Taking taylor expansion of 0.5 in im 0.543 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.543 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.543 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.543 * [taylor]: Taking taylor expansion of -1 in im 0.543 * [taylor]: Taking taylor expansion of im in im 0.543 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.543 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.543 * [taylor]: Taking taylor expansion of -1 in im 0.543 * [taylor]: Taking taylor expansion of re in im 0.543 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.543 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.543 * [taylor]: Taking taylor expansion of 0.5 in re 0.543 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.543 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.543 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.543 * [taylor]: Taking taylor expansion of -1 in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.544 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.544 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.544 * [taylor]: Taking taylor expansion of -1 in re 0.544 * [taylor]: Taking taylor expansion of im in re 0.544 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.544 * [taylor]: Taking taylor expansion of 0.5 in re 0.544 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.544 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.544 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.544 * [taylor]: Taking taylor expansion of -1 in re 0.544 * [taylor]: Taking taylor expansion of im in re 0.544 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.544 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.544 * [taylor]: Taking taylor expansion of -1 in re 0.544 * [taylor]: Taking taylor expansion of re in re 0.544 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.544 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.544 * [taylor]: Taking taylor expansion of 0.5 in re 0.544 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.544 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.544 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.544 * [taylor]: Taking taylor expansion of -1 in re 0.544 * [taylor]: Taking taylor expansion of re in re 0.545 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.545 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.545 * [taylor]: Taking taylor expansion of -1 in re 0.545 * [taylor]: Taking taylor expansion of im in re 0.545 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.545 * [taylor]: Taking taylor expansion of 0.5 in re 0.545 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.545 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.545 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.545 * [taylor]: Taking taylor expansion of -1 in re 0.545 * [taylor]: Taking taylor expansion of im in re 0.545 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.545 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.545 * [taylor]: Taking taylor expansion of -1 in re 0.545 * [taylor]: Taking taylor expansion of re in re 0.546 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.546 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.546 * [taylor]: Taking taylor expansion of 0.5 in im 0.546 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.546 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.546 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.546 * [taylor]: Taking taylor expansion of -1 in im 0.546 * [taylor]: Taking taylor expansion of re in im 0.546 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.546 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.546 * [taylor]: Taking taylor expansion of -1 in im 0.546 * [taylor]: Taking taylor expansion of im in im 0.547 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.547 * [taylor]: Taking taylor expansion of 0.5 in im 0.547 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.547 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.547 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.547 * [taylor]: Taking taylor expansion of -1 in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.547 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.547 * [taylor]: Taking taylor expansion of -1 in im 0.547 * [taylor]: Taking taylor expansion of re in im 0.551 * [taylor]: Taking taylor expansion of 0 in im 0.559 * [taylor]: Taking taylor expansion of 0 in im 0.574 * [taylor]: Taking taylor expansion of 0 in im 0.574 * * * [progress]: simplifying candidates 0.575 * [simplify]: Simplifying using # : (expm1 (/ (* 0.5 (cos re)) (exp im))) (log1p (/ (* 0.5 (cos re)) (exp im))) (- (+ (log 0.5) (log (cos re))) im) (- (log (* 0.5 (cos re))) im) (log (/ (* 0.5 (cos re)) (exp im))) (exp (/ (* 0.5 (cos re)) (exp im))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) 1) (/ (exp im) (cos re)) (expm1 (* (* 0.5 (cos re)) (exp im))) (log1p (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (+ (+ (log 0.5) (log (cos re))) im) (+ (log (* 0.5 (cos re))) im) (log (* (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* 0.5 (cos re)) 1) (* (cos re) (exp im)) (expm1 (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (log1p (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (exp (/ (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im)))) (log (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (exp (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (* (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (+ (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (- (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (- (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (- (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ 1 (exp im)) (exp im)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) 0.579 * * [simplify]: iteration 0 : 297 enodes (cost 490 ) 0.586 * * [simplify]: iteration 1 : 1687 enodes (cost 421 ) 0.622 * * [simplify]: iteration 2 : 5001 enodes (cost 416 ) 0.624 * [simplify]: Simplified to: (expm1 (/ (* 0.5 (cos re)) (exp im))) (log1p (/ (* 0.5 (cos re)) (exp im))) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (exp (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (/ (exp im) (cos re)) (expm1 (* (* 0.5 (cos re)) (exp im))) (log1p (* (* 0.5 (cos re)) (exp im))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (exp (* (* 0.5 (cos re)) (exp im))) (pow (* (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (pow (* (* 0.5 (cos re)) (exp im)) 3) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (* (cos re) (exp im)) (expm1 (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (log1p (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (pow (exp 0.5) (fma (exp im) (cos re) (/ (cos re) (exp im)))) (log (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) (pow (exp 0.5) (fma (exp im) (cos re) (/ (cos re) (exp im)))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (pow (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) 3) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (fma 0.5 (* (* (cos re) (exp im)) (* 0.5 (- (* (cos re) (exp im)) (/ (cos re) (exp im))))) (/ (* (* 0.5 (cos re)) (* 0.5 (cos re))) (exp (+ im im)))) (* 0.5 (* (fma (exp im) (cos re) (/ (cos re) (exp im))) (* 0.5 (- (/ (cos re) (exp im)) (* (cos re) (exp im)))))) (* (cos re) (- (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 1 (exp im)) (exp im)) (- 0.5 (fma 0.25 (pow re 2) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (fma im 0.5 (- 0.5 (* 0.25 (pow re 2)))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (fma (pow im 2) 0.5 (- 1.0 (* 0.5 (pow re 2)))) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) 0.624 * * * [progress]: adding candidates to table 0.789 * * [progress]: iteration 3 / 4 0.789 * * * [progress]: picking best candidate 0.792 * * * * [pick]: Picked # 0.793 * * * [progress]: localizing error 0.815 * * * [progress]: generating rewritten candidates 0.815 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.822 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.936 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.941 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.976 * * * [progress]: generating series expansions 0.976 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.977 * [approximate]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in (im) around 0 0.977 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 0.977 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.977 * [taylor]: Taking taylor expansion of (exp im) in im 0.977 * [taylor]: Taking taylor expansion of im in im 0.977 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.977 * [taylor]: Taking taylor expansion of (exp im) in im 0.977 * [taylor]: Taking taylor expansion of im in im 0.977 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.977 * [taylor]: Taking taylor expansion of (- im) in im 0.977 * [taylor]: Taking taylor expansion of im in im 0.978 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 0.978 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.978 * [taylor]: Taking taylor expansion of (exp im) in im 0.978 * [taylor]: Taking taylor expansion of im in im 0.978 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.978 * [taylor]: Taking taylor expansion of (exp im) in im 0.978 * [taylor]: Taking taylor expansion of im in im 0.978 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.978 * [taylor]: Taking taylor expansion of (- im) in im 0.978 * [taylor]: Taking taylor expansion of im in im 0.995 * [approximate]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 0.995 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.995 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.995 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.995 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.995 * [taylor]: Taking taylor expansion of im in im 0.995 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.995 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.995 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.995 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.995 * [taylor]: Taking taylor expansion of im in im 0.996 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.996 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.996 * [taylor]: Taking taylor expansion of im in im 0.996 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.996 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.996 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.996 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.996 * [taylor]: Taking taylor expansion of im in im 0.996 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.996 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.997 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.997 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.997 * [taylor]: Taking taylor expansion of im in im 0.997 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.997 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.997 * [taylor]: Taking taylor expansion of im in im 1.009 * [approximate]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 1.010 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.010 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 1.010 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.010 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.010 * [taylor]: Taking taylor expansion of -1 in im 1.010 * [taylor]: Taking taylor expansion of im in im 1.010 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 1.010 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.010 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.010 * [taylor]: Taking taylor expansion of -1 in im 1.010 * [taylor]: Taking taylor expansion of im in im 1.010 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.010 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.010 * [taylor]: Taking taylor expansion of im in im 1.011 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.011 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 1.011 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.011 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.011 * [taylor]: Taking taylor expansion of -1 in im 1.011 * [taylor]: Taking taylor expansion of im in im 1.011 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 1.011 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.011 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.011 * [taylor]: Taking taylor expansion of -1 in im 1.011 * [taylor]: Taking taylor expansion of im in im 1.012 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.012 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.012 * [taylor]: Taking taylor expansion of im in im 1.024 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.025 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in (re im) around 0 1.025 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in im 1.025 * [taylor]: Taking taylor expansion of 0.5 in im 1.025 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in im 1.025 * [taylor]: Taking taylor expansion of (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) in im 1.025 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in im 1.025 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.025 * [taylor]: Taking taylor expansion of (exp im) in im 1.025 * [taylor]: Taking taylor expansion of im in im 1.025 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.025 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.025 * [taylor]: Taking taylor expansion of (- im) in im 1.025 * [taylor]: Taking taylor expansion of im in im 1.026 * [taylor]: Taking taylor expansion of (cos re) in im 1.026 * [taylor]: Taking taylor expansion of re in im 1.026 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in im 1.026 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in im 1.026 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 1.026 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.026 * [taylor]: Taking taylor expansion of (- im) in im 1.026 * [taylor]: Taking taylor expansion of im in im 1.026 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.026 * [taylor]: Taking taylor expansion of (exp im) in im 1.026 * [taylor]: Taking taylor expansion of im in im 1.026 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 1.026 * [taylor]: Taking taylor expansion of (exp im) in im 1.026 * [taylor]: Taking taylor expansion of im in im 1.026 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.026 * [taylor]: Taking taylor expansion of (- im) in im 1.026 * [taylor]: Taking taylor expansion of im in im 1.030 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in re 1.030 * [taylor]: Taking taylor expansion of 0.5 in re 1.030 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in re 1.030 * [taylor]: Taking taylor expansion of (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) in re 1.030 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in re 1.030 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in re 1.030 * [taylor]: Taking taylor expansion of (exp im) in re 1.030 * [taylor]: Taking taylor expansion of im in re 1.030 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in re 1.030 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.030 * [taylor]: Taking taylor expansion of (- im) in re 1.030 * [taylor]: Taking taylor expansion of im in re 1.030 * [taylor]: Taking taylor expansion of (cos re) in re 1.030 * [taylor]: Taking taylor expansion of re in re 1.030 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in re 1.030 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in re 1.030 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in re 1.030 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.030 * [taylor]: Taking taylor expansion of (- im) in re 1.030 * [taylor]: Taking taylor expansion of im in re 1.030 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in re 1.030 * [taylor]: Taking taylor expansion of (exp im) in re 1.030 * [taylor]: Taking taylor expansion of im in re 1.030 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in re 1.030 * [taylor]: Taking taylor expansion of (exp im) in re 1.030 * [taylor]: Taking taylor expansion of im in re 1.030 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.030 * [taylor]: Taking taylor expansion of (- im) in re 1.030 * [taylor]: Taking taylor expansion of im in re 1.032 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in re 1.032 * [taylor]: Taking taylor expansion of 0.5 in re 1.032 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in re 1.032 * [taylor]: Taking taylor expansion of (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) in re 1.032 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in re 1.032 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in re 1.032 * [taylor]: Taking taylor expansion of (exp im) in re 1.032 * [taylor]: Taking taylor expansion of im in re 1.032 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in re 1.032 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.032 * [taylor]: Taking taylor expansion of (- im) in re 1.032 * [taylor]: Taking taylor expansion of im in re 1.032 * [taylor]: Taking taylor expansion of (cos re) in re 1.032 * [taylor]: Taking taylor expansion of re in re 1.032 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in re 1.032 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in re 1.032 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in re 1.032 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.032 * [taylor]: Taking taylor expansion of (- im) in re 1.032 * [taylor]: Taking taylor expansion of im in re 1.032 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in re 1.032 * [taylor]: Taking taylor expansion of (exp im) in re 1.032 * [taylor]: Taking taylor expansion of im in re 1.032 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in re 1.032 * [taylor]: Taking taylor expansion of (exp im) in re 1.032 * [taylor]: Taking taylor expansion of im in re 1.032 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.032 * [taylor]: Taking taylor expansion of (- im) in re 1.032 * [taylor]: Taking taylor expansion of im in re 1.034 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in im 1.034 * [taylor]: Taking taylor expansion of 0.5 in im 1.034 * [taylor]: Taking taylor expansion of (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in im 1.034 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in im 1.034 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.034 * [taylor]: Taking taylor expansion of (exp im) in im 1.034 * [taylor]: Taking taylor expansion of im in im 1.034 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.034 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.034 * [taylor]: Taking taylor expansion of (- im) in im 1.034 * [taylor]: Taking taylor expansion of im in im 1.035 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in im 1.035 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in im 1.035 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 1.035 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.035 * [taylor]: Taking taylor expansion of (- im) in im 1.035 * [taylor]: Taking taylor expansion of im in im 1.036 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.036 * [taylor]: Taking taylor expansion of (exp im) in im 1.036 * [taylor]: Taking taylor expansion of im in im 1.036 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 1.036 * [taylor]: Taking taylor expansion of (exp im) in im 1.036 * [taylor]: Taking taylor expansion of im in im 1.036 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.036 * [taylor]: Taking taylor expansion of (- im) in im 1.036 * [taylor]: Taking taylor expansion of im in im 1.051 * [taylor]: Taking taylor expansion of 0 in im 1.073 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) (* 0.25 (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))))) in im 1.073 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) (* 0.25 (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))))) in im 1.073 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in im 1.073 * [taylor]: Taking taylor expansion of 0.25 in im 1.073 * [taylor]: Taking taylor expansion of (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in im 1.073 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.073 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.073 * [taylor]: Taking taylor expansion of (- im) in im 1.073 * [taylor]: Taking taylor expansion of im in im 1.074 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in im 1.074 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in im 1.074 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 1.074 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.074 * [taylor]: Taking taylor expansion of (- im) in im 1.074 * [taylor]: Taking taylor expansion of im in im 1.075 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.075 * [taylor]: Taking taylor expansion of (exp im) in im 1.075 * [taylor]: Taking taylor expansion of im in im 1.075 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 1.075 * [taylor]: Taking taylor expansion of (exp im) in im 1.075 * [taylor]: Taking taylor expansion of im in im 1.075 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.075 * [taylor]: Taking taylor expansion of (- im) in im 1.075 * [taylor]: Taking taylor expansion of im in im 1.077 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in im 1.077 * [taylor]: Taking taylor expansion of 0.25 in im 1.077 * [taylor]: Taking taylor expansion of (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in im 1.077 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.077 * [taylor]: Taking taylor expansion of (exp im) in im 1.077 * [taylor]: Taking taylor expansion of im in im 1.077 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in im 1.078 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in im 1.078 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 1.078 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.078 * [taylor]: Taking taylor expansion of (- im) in im 1.078 * [taylor]: Taking taylor expansion of im in im 1.078 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.078 * [taylor]: Taking taylor expansion of (exp im) in im 1.078 * [taylor]: Taking taylor expansion of im in im 1.078 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 1.078 * [taylor]: Taking taylor expansion of (exp im) in im 1.078 * [taylor]: Taking taylor expansion of im in im 1.078 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.078 * [taylor]: Taking taylor expansion of (- im) in im 1.078 * [taylor]: Taking taylor expansion of im in im 1.096 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0 1.096 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.096 * [taylor]: Taking taylor expansion of 0.5 in im 1.096 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.096 * [taylor]: Taking taylor expansion of (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) in im 1.096 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in im 1.096 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.096 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.096 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.096 * [taylor]: Taking taylor expansion of im in im 1.097 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.097 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.097 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.097 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.097 * [taylor]: Taking taylor expansion of im in im 1.097 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.097 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.097 * [taylor]: Taking taylor expansion of re in im 1.097 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.097 * [taylor]: Taking taylor expansion of (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) in im 1.097 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in im 1.097 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.097 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.097 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.097 * [taylor]: Taking taylor expansion of im in im 1.098 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.098 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.098 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.098 * [taylor]: Taking taylor expansion of im in im 1.098 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.098 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.098 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.098 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.098 * [taylor]: Taking taylor expansion of im in im 1.099 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.099 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.099 * [taylor]: Taking taylor expansion of im in im 1.102 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 1.102 * [taylor]: Taking taylor expansion of 0.5 in re 1.102 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.102 * [taylor]: Taking taylor expansion of (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) in re 1.102 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in re 1.102 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in re 1.102 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.102 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.102 * [taylor]: Taking taylor expansion of im in re 1.102 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in re 1.102 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.102 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.102 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.102 * [taylor]: Taking taylor expansion of im in re 1.102 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.102 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.102 * [taylor]: Taking taylor expansion of re in re 1.102 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.102 * [taylor]: Taking taylor expansion of (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) in re 1.102 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in re 1.102 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.102 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.103 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.103 * [taylor]: Taking taylor expansion of im in re 1.103 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 1.103 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.103 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.103 * [taylor]: Taking taylor expansion of im in re 1.103 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.103 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.103 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.103 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.103 * [taylor]: Taking taylor expansion of im in re 1.103 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.103 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.103 * [taylor]: Taking taylor expansion of im in re 1.105 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 1.105 * [taylor]: Taking taylor expansion of 0.5 in re 1.105 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.105 * [taylor]: Taking taylor expansion of (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) in re 1.105 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in re 1.105 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in re 1.105 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.105 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.105 * [taylor]: Taking taylor expansion of im in re 1.105 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in re 1.105 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.105 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.105 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.105 * [taylor]: Taking taylor expansion of im in re 1.105 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.105 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.105 * [taylor]: Taking taylor expansion of re in re 1.106 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.106 * [taylor]: Taking taylor expansion of (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) in re 1.106 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in re 1.106 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.106 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.106 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.106 * [taylor]: Taking taylor expansion of im in re 1.106 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 1.106 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.106 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.106 * [taylor]: Taking taylor expansion of im in re 1.106 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.106 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.106 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.106 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.106 * [taylor]: Taking taylor expansion of im in re 1.106 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.106 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.106 * [taylor]: Taking taylor expansion of im in re 1.109 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.109 * [taylor]: Taking taylor expansion of 0.5 in im 1.109 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.109 * [taylor]: Taking taylor expansion of (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) in im 1.109 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in im 1.109 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.109 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.109 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.109 * [taylor]: Taking taylor expansion of im in im 1.109 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.109 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.109 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.109 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.109 * [taylor]: Taking taylor expansion of im in im 1.110 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.110 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.110 * [taylor]: Taking taylor expansion of re in im 1.110 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.110 * [taylor]: Taking taylor expansion of (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) in im 1.110 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in im 1.110 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.110 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.110 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.110 * [taylor]: Taking taylor expansion of im in im 1.111 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.111 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.111 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.111 * [taylor]: Taking taylor expansion of im in im 1.111 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.111 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.111 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.111 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.111 * [taylor]: Taking taylor expansion of im in im 1.112 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.112 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.112 * [taylor]: Taking taylor expansion of im in im 1.123 * [taylor]: Taking taylor expansion of 0 in im 1.144 * [taylor]: Taking taylor expansion of 0 in im 1.171 * [taylor]: Taking taylor expansion of 0 in im 1.172 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in (re im) around 0 1.172 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in im 1.172 * [taylor]: Taking taylor expansion of 0.5 in im 1.172 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) in im 1.172 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) in im 1.172 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.172 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.172 * [taylor]: Taking taylor expansion of -1 in im 1.172 * [taylor]: Taking taylor expansion of re in im 1.172 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in im 1.172 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.172 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.172 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.172 * [taylor]: Taking taylor expansion of -1 in im 1.172 * [taylor]: Taking taylor expansion of im in im 1.173 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.173 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.173 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.173 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.173 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) in im 1.173 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 1.173 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.173 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.173 * [taylor]: Taking taylor expansion of -1 in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.173 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.173 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.173 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.174 * [taylor]: Taking taylor expansion of im in im 1.174 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 1.174 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.174 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.174 * [taylor]: Taking taylor expansion of -1 in im 1.174 * [taylor]: Taking taylor expansion of im in im 1.174 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.174 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.174 * [taylor]: Taking taylor expansion of im in im 1.177 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in re 1.177 * [taylor]: Taking taylor expansion of 0.5 in re 1.177 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) in re 1.177 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) in re 1.177 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.177 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.177 * [taylor]: Taking taylor expansion of -1 in re 1.177 * [taylor]: Taking taylor expansion of re in re 1.177 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in re 1.177 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in re 1.177 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.177 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.177 * [taylor]: Taking taylor expansion of -1 in re 1.177 * [taylor]: Taking taylor expansion of im in re 1.178 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in re 1.178 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.178 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.178 * [taylor]: Taking taylor expansion of im in re 1.178 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.178 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) in re 1.178 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in re 1.178 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.178 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.178 * [taylor]: Taking taylor expansion of -1 in re 1.178 * [taylor]: Taking taylor expansion of im in re 1.178 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 1.178 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.178 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.178 * [taylor]: Taking taylor expansion of im in re 1.178 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in re 1.178 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.178 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.178 * [taylor]: Taking taylor expansion of -1 in re 1.178 * [taylor]: Taking taylor expansion of im in re 1.178 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.178 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.178 * [taylor]: Taking taylor expansion of im in re 1.180 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in re 1.180 * [taylor]: Taking taylor expansion of 0.5 in re 1.180 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) in re 1.180 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) in re 1.180 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.180 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.180 * [taylor]: Taking taylor expansion of -1 in re 1.180 * [taylor]: Taking taylor expansion of re in re 1.180 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in re 1.180 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in re 1.180 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.180 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.180 * [taylor]: Taking taylor expansion of -1 in re 1.180 * [taylor]: Taking taylor expansion of im in re 1.181 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in re 1.181 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.181 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.181 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) in re 1.181 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in re 1.181 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.181 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.181 * [taylor]: Taking taylor expansion of -1 in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.181 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 1.181 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.181 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in re 1.181 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.181 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.181 * [taylor]: Taking taylor expansion of -1 in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.181 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.183 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in im 1.183 * [taylor]: Taking taylor expansion of 0.5 in im 1.183 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) in im 1.183 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) in im 1.183 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.183 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.183 * [taylor]: Taking taylor expansion of -1 in im 1.183 * [taylor]: Taking taylor expansion of re in im 1.184 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in im 1.184 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.184 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.184 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.184 * [taylor]: Taking taylor expansion of -1 in im 1.184 * [taylor]: Taking taylor expansion of im in im 1.184 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.184 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.184 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.184 * [taylor]: Taking taylor expansion of im in im 1.184 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.184 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) in im 1.184 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 1.184 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.184 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.184 * [taylor]: Taking taylor expansion of -1 in im 1.185 * [taylor]: Taking taylor expansion of im in im 1.185 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.185 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.185 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.185 * [taylor]: Taking taylor expansion of im in im 1.185 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 1.185 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.185 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.185 * [taylor]: Taking taylor expansion of -1 in im 1.185 * [taylor]: Taking taylor expansion of im in im 1.186 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.186 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.186 * [taylor]: Taking taylor expansion of im in im 1.196 * [taylor]: Taking taylor expansion of 0 in im 1.213 * [taylor]: Taking taylor expansion of 0 in im 1.238 * [taylor]: Taking taylor expansion of 0 in im 1.239 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.239 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 3) in (im) around 0 1.239 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.239 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.239 * [taylor]: Taking taylor expansion of (- im) in im 1.239 * [taylor]: Taking taylor expansion of im in im 1.240 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.240 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.240 * [taylor]: Taking taylor expansion of (- im) in im 1.240 * [taylor]: Taking taylor expansion of im in im 1.245 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in (im) around 0 1.245 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.245 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.245 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.245 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.245 * [taylor]: Taking taylor expansion of im in im 1.246 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.246 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.246 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.246 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.246 * [taylor]: Taking taylor expansion of im in im 1.256 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 1.256 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.256 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.256 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.256 * [taylor]: Taking taylor expansion of im in im 1.256 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.256 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.256 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.256 * [taylor]: Taking taylor expansion of im in im 1.265 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.265 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 2) in (im) around 0 1.265 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 1.265 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.266 * [taylor]: Taking taylor expansion of (- im) in im 1.266 * [taylor]: Taking taylor expansion of im in im 1.266 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 1.266 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.266 * [taylor]: Taking taylor expansion of (- im) in im 1.266 * [taylor]: Taking taylor expansion of im in im 1.270 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in (im) around 0 1.270 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in im 1.270 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.270 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.270 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.270 * [taylor]: Taking taylor expansion of im in im 1.271 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in im 1.271 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.271 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.271 * [taylor]: Taking taylor expansion of im in im 1.276 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in (im) around 0 1.276 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.276 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.276 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.276 * [taylor]: Taking taylor expansion of im in im 1.277 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.277 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.277 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.277 * [taylor]: Taking taylor expansion of im in im 1.281 * * * [progress]: simplifying candidates 1.284 * [simplify]: Simplifying using # : (fma (exp im) (exp im) (- (* (exp im) (exp (- im))))) (fma (- (exp im)) (exp (- im)) (* (exp im) (exp (- im)))) (expm1 (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (log1p (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp (- im)) (exp im))) (/ (exp (* (exp im) (exp im))) (exp (* (exp (- im)) (exp im)))) (log (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (exp (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (* (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (* (* (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (pow (* (exp im) (exp im)) 3) (pow (* (exp (- im)) (exp im)) 3)) (+ (* (* (exp im) (exp im)) (* (exp im) (exp im))) (+ (* (* (exp (- im)) (exp im)) (* (exp (- im)) (exp im))) (* (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (- (* (exp (- im)) (exp im))) (- (* (* (exp im) (exp im)) (* (exp im) (exp im))) (* (* (exp (- im)) (exp im)) (* (exp (- im)) (exp im)))) (+ (* (exp im) (exp im)) (* (exp (- im)) (exp im))) (- (exp im) (exp (- im))) (- (* (exp (- im)) (exp im))) (expm1 (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (log1p (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (- (+ (+ (log 0.5) (log (cos re))) (log (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (log (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (- (+ (log (* 0.5 (cos re))) (log (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (log (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (- (log (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (log (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (log (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (exp (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (/ (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (* (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (/ (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (* (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (/ (* (* (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (* (+ (* (exp 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(pow (exp im) 3))) (* (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) 1) 1)) (fma (pow im 2) 9/2 (- 1 (* 3 im))) (pow (exp (- im)) 3) (pow (exp (- im)) 3) (fma (pow im 2) 2 (- 1 (* 2 im))) (pow (exp (- im)) 2) (pow (exp (- im)) 2) 1.468 * * * [progress]: adding candidates to table 2.010 * [progress]: [Phase 3 of 3] Extracting. 2.010 * * [regime]: Finding splitpoints for: (# #) 2.011 * * * [regime-changes]: Trying 4 branch expressions: ((cos re) (* 0.5 (cos re)) im re) 2.011 * * * * [regimes]: Trying to branch on (cos re) from (# #) 2.028 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 2.043 * * * * [regimes]: Trying to branch on im from (# #) 2.058 * * * * [regimes]: Trying to branch on re from (# #) 2.071 * * * [regime]: Found split indices: #