29.857 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.100 * * * [progress]: [2/2] Setting up program. 0.102 * [progress]: [Phase 2 of 3] Improving. 0.102 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.104 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.106 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.107 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.109 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.113 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.116 * * [simplify]: iteration 5 : 629 enodes (cost 7 ) 0.124 * * [simplify]: iteration 6 : 1415 enodes (cost 7 ) 0.135 * * [simplify]: iteration 7 : 2148 enodes (cost 7 ) 0.174 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.174 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.175 * * [progress]: iteration 1 / 4 0.175 * * * [progress]: picking best candidate 0.177 * * * * [pick]: Picked # 0.177 * * * [progress]: localizing error 0.186 * * * [progress]: generating rewritten candidates 0.186 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.196 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.201 * * * [progress]: generating series expansions 0.202 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.202 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.202 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.202 * [taylor]: Taking taylor expansion of 0.5 in im 0.202 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.202 * [taylor]: Taking taylor expansion of (cos re) in im 0.202 * [taylor]: Taking taylor expansion of re in im 0.202 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.202 * [taylor]: Taking taylor expansion of (exp im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.202 * [taylor]: Taking taylor expansion of (- im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.203 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.203 * [taylor]: Taking taylor expansion of 0.5 in re 0.203 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.203 * [taylor]: Taking taylor expansion of (cos re) in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.203 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.203 * [taylor]: Taking taylor expansion of (exp im) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.203 * [taylor]: Taking taylor expansion of (- im) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.203 * [taylor]: Taking taylor expansion of 0.5 in re 0.203 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.203 * [taylor]: Taking taylor expansion of (cos re) in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.203 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.203 * [taylor]: Taking taylor expansion of (exp im) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.203 * [taylor]: Taking taylor expansion of (- im) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.203 * [taylor]: Taking taylor expansion of 0.5 in im 0.204 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.204 * [taylor]: Taking taylor expansion of (exp im) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.204 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.204 * [taylor]: Taking taylor expansion of (- im) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.207 * [taylor]: Taking taylor expansion of 0 in im 0.213 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.213 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.213 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.213 * [taylor]: Taking taylor expansion of 0.25 in im 0.213 * [taylor]: Taking taylor expansion of (exp im) in im 0.213 * [taylor]: Taking taylor expansion of im in im 0.213 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.213 * [taylor]: Taking taylor expansion of 0.25 in im 0.213 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.213 * [taylor]: Taking taylor expansion of (- im) in im 0.213 * [taylor]: Taking taylor expansion of im in im 0.219 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.219 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.219 * [taylor]: Taking taylor expansion of 0.5 in im 0.219 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.219 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.219 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.219 * [taylor]: Taking taylor expansion of re in im 0.219 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.219 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.219 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.219 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.219 * [taylor]: Taking taylor expansion of im in im 0.219 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.219 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.219 * [taylor]: Taking taylor expansion of im in im 0.220 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.220 * [taylor]: Taking taylor expansion of 0.5 in re 0.220 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.220 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.220 * [taylor]: Taking taylor expansion of re in re 0.220 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.220 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.220 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.220 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.220 * [taylor]: Taking taylor expansion of im in re 0.220 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.220 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.220 * [taylor]: Taking taylor expansion of im in re 0.220 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.220 * [taylor]: Taking taylor expansion of 0.5 in re 0.220 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.220 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.220 * [taylor]: Taking taylor expansion of re in re 0.221 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.221 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.221 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.221 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.221 * [taylor]: Taking taylor expansion of im in re 0.221 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.221 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.221 * [taylor]: Taking taylor expansion of im in re 0.221 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.221 * [taylor]: Taking taylor expansion of 0.5 in im 0.221 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.221 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.221 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.221 * [taylor]: Taking taylor expansion of re in im 0.222 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.222 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.222 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.222 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.222 * [taylor]: Taking taylor expansion of im in im 0.222 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.222 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.222 * [taylor]: Taking taylor expansion of im in im 0.225 * [taylor]: Taking taylor expansion of 0 in im 0.236 * [taylor]: Taking taylor expansion of 0 in im 0.244 * [taylor]: Taking taylor expansion of 0 in im 0.245 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.245 * [taylor]: Taking taylor expansion of 0.5 in im 0.245 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 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 in im 0.245 * [taylor]: Taking taylor expansion of 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 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 0.246 * [taylor]: Taking taylor expansion of -1 in im 0.246 * [taylor]: Taking taylor expansion of re in im 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.246 * [taylor]: Taking taylor expansion of 0.5 in re 0.246 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.246 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.246 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.246 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.246 * [taylor]: Taking taylor expansion of -1 in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.246 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.246 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.246 * [taylor]: Taking taylor expansion of -1 in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.246 * [taylor]: Taking taylor expansion of 0.5 in re 0.246 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.246 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.246 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.246 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.246 * [taylor]: Taking taylor expansion of -1 in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.246 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.246 * [taylor]: Taking taylor expansion of 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 -1 in re 0.247 * [taylor]: Taking taylor expansion of re in re 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.247 * [taylor]: Taking taylor expansion of 0.5 in im 0.247 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.247 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.247 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.247 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.247 * [taylor]: Taking taylor expansion of -1 in im 0.247 * [taylor]: Taking taylor expansion of im in im 0.248 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.248 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.248 * [taylor]: Taking taylor expansion of im in im 0.248 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.248 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.248 * [taylor]: Taking taylor expansion of -1 in im 0.248 * [taylor]: Taking taylor expansion of re in im 0.251 * [taylor]: Taking taylor expansion of 0 in im 0.256 * [taylor]: Taking taylor expansion of 0 in im 0.263 * [taylor]: Taking taylor expansion of 0 in im 0.263 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.263 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.263 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.263 * [taylor]: Taking taylor expansion of (exp im) in im 0.263 * [taylor]: Taking taylor expansion of im in im 0.263 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.263 * [taylor]: Taking taylor expansion of (- im) in im 0.263 * [taylor]: Taking taylor expansion of im in im 0.264 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.264 * [taylor]: Taking taylor expansion of (exp im) in im 0.264 * [taylor]: Taking taylor expansion of im in im 0.264 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.264 * [taylor]: Taking taylor expansion of (- im) in im 0.264 * [taylor]: Taking taylor expansion of im in im 0.279 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.279 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.279 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.279 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.279 * [taylor]: Taking taylor expansion of im in im 0.279 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.279 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.279 * [taylor]: Taking taylor expansion of im in im 0.280 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.280 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.280 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.280 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.282 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.282 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.282 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.282 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.282 * [taylor]: Taking taylor expansion of -1 in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.283 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.283 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.283 * [taylor]: Taking taylor expansion of im in im 0.283 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.283 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.283 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.283 * [taylor]: Taking taylor expansion of -1 in im 0.283 * [taylor]: Taking taylor expansion of im in im 0.283 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.283 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.283 * [taylor]: Taking taylor expansion of im in im 0.285 * * * [progress]: simplifying candidates 0.286 * [simplify]: Simplifying using # : (* (* 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)))) (* (exp (exp (- im))) (exp (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (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)) (- (+ (* 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))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 0.290 * * [simplify]: iteration 0 : 249 enodes (cost 347 ) 0.295 * * [simplify]: iteration 1 : 1229 enodes (cost 286 ) 0.321 * * [simplify]: iteration 2 : 5001 enodes (cost 284 ) 0.322 * [simplify]: Simplified to: (* (* 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))) (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (exp (+ (exp (- im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (pow (+ (exp (* -1 im)) (exp im)) 3) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)) (+ (- (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (- im)) (exp im)) (+ (exp (* -1 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 (cos re)) (+ (exp (- im)) (exp im))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 0.323 * * * [progress]: adding candidates to table 0.399 * * [progress]: iteration 2 / 4 0.399 * * * [progress]: picking best candidate 0.412 * * * * [pick]: Picked # 0.412 * * * [progress]: localizing error 0.421 * * * [progress]: generating rewritten candidates 0.421 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.426 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.434 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.442 * * * [progress]: generating series expansions 0.442 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.442 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 0.442 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.442 * [taylor]: Taking taylor expansion of 0.5 in im 0.442 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.442 * [taylor]: Taking taylor expansion of (cos re) in im 0.442 * [taylor]: Taking taylor expansion of re in im 0.442 * [taylor]: Taking taylor expansion of (exp im) in im 0.442 * [taylor]: Taking taylor expansion of im in im 0.443 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.443 * [taylor]: Taking taylor expansion of 0.5 in re 0.443 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.443 * [taylor]: Taking taylor expansion of (cos re) in re 0.443 * [taylor]: Taking taylor expansion of re in re 0.443 * [taylor]: Taking taylor expansion of (exp im) in re 0.443 * [taylor]: Taking taylor expansion of im in re 0.443 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.443 * [taylor]: Taking taylor expansion of 0.5 in re 0.443 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.443 * [taylor]: Taking taylor expansion of (cos re) in re 0.443 * [taylor]: Taking taylor expansion of re in re 0.443 * [taylor]: Taking taylor expansion of (exp im) in re 0.443 * [taylor]: Taking taylor expansion of im in re 0.443 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.443 * [taylor]: Taking taylor expansion of 0.5 in im 0.443 * [taylor]: Taking taylor expansion of (exp im) in im 0.443 * [taylor]: Taking taylor expansion of im in im 0.445 * [taylor]: Taking taylor expansion of 0 in im 0.449 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 0.449 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.449 * [taylor]: Taking taylor expansion of 0.25 in im 0.449 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.449 * [taylor]: Taking taylor expansion of (exp im) in im 0.449 * [taylor]: Taking taylor expansion of im in im 0.451 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.451 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.451 * [taylor]: Taking taylor expansion of 0.5 in im 0.451 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.451 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.451 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.451 * [taylor]: Taking taylor expansion of re in im 0.451 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.451 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.451 * [taylor]: Taking taylor expansion of im in im 0.452 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.452 * [taylor]: Taking taylor expansion of 0.5 in re 0.452 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.452 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.452 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.452 * [taylor]: Taking taylor expansion of re in re 0.452 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.452 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.452 * [taylor]: Taking taylor expansion of im in re 0.452 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.452 * [taylor]: Taking taylor expansion of 0.5 in re 0.452 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.452 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.452 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.452 * [taylor]: Taking taylor expansion of re in re 0.453 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.453 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.453 * [taylor]: Taking taylor expansion of im in re 0.453 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.453 * [taylor]: Taking taylor expansion of 0.5 in im 0.453 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.453 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.453 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.453 * [taylor]: Taking taylor expansion of re in im 0.453 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.453 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.453 * [taylor]: Taking taylor expansion of im in im 0.455 * [taylor]: Taking taylor expansion of 0 in im 0.459 * [taylor]: Taking taylor expansion of 0 in im 0.464 * [taylor]: Taking taylor expansion of 0 in im 0.464 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 0.464 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.464 * [taylor]: Taking taylor expansion of 0.5 in im 0.464 * [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 -1 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 -1 in im 0.465 * [taylor]: Taking taylor expansion of im in im 0.465 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.465 * [taylor]: Taking taylor expansion of 0.5 in re 0.465 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.465 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.466 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.466 * [taylor]: Taking taylor expansion of -1 in re 0.466 * [taylor]: Taking taylor expansion of re in re 0.466 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.466 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.466 * [taylor]: Taking taylor expansion of -1 in re 0.466 * [taylor]: Taking taylor expansion of im in re 0.466 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.466 * [taylor]: Taking taylor expansion of 0.5 in re 0.466 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.466 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.466 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.466 * [taylor]: Taking taylor expansion of -1 in re 0.466 * [taylor]: Taking taylor expansion of re in re 0.466 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.466 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.466 * [taylor]: Taking taylor expansion of -1 in re 0.467 * [taylor]: Taking taylor expansion of im in re 0.467 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.467 * [taylor]: Taking taylor expansion of 0.5 in im 0.467 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.467 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.467 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.467 * [taylor]: Taking taylor expansion of -1 in im 0.467 * [taylor]: Taking taylor expansion of re in im 0.467 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.467 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.467 * [taylor]: Taking taylor expansion of -1 in im 0.467 * [taylor]: Taking taylor expansion of im in im 0.469 * [taylor]: Taking taylor expansion of 0 in im 0.473 * [taylor]: Taking taylor expansion of 0 in im 0.478 * [taylor]: Taking taylor expansion of 0 in im 0.478 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.478 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 0.478 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 0.478 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.478 * [taylor]: Taking taylor expansion of 0.5 in im 0.478 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.478 * [taylor]: Taking taylor expansion of (exp im) in im 0.478 * [taylor]: Taking taylor expansion of im in im 0.478 * [taylor]: Taking taylor expansion of (cos re) in im 0.478 * [taylor]: Taking taylor expansion of re in im 0.478 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.478 * [taylor]: Taking taylor expansion of 0.5 in im 0.479 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.479 * [taylor]: Taking taylor expansion of (cos re) in im 0.479 * [taylor]: Taking taylor expansion of re in im 0.479 * [taylor]: Taking taylor expansion of (exp im) in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.479 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.479 * [taylor]: Taking taylor expansion of 0.5 in re 0.479 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.479 * [taylor]: Taking taylor expansion of (exp im) in re 0.479 * [taylor]: Taking taylor expansion of im in re 0.479 * [taylor]: Taking taylor expansion of (cos re) in re 0.479 * [taylor]: Taking taylor expansion of re in re 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.479 * [taylor]: Taking taylor expansion of 0.5 in re 0.479 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.479 * [taylor]: Taking taylor expansion of (cos re) in re 0.479 * [taylor]: Taking taylor expansion of re in re 0.479 * [taylor]: Taking taylor expansion of (exp im) in re 0.479 * [taylor]: Taking taylor expansion of im in re 0.479 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.479 * [taylor]: Taking taylor expansion of 0.5 in re 0.479 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.479 * [taylor]: Taking taylor expansion of (exp im) in re 0.479 * [taylor]: Taking taylor expansion of im in re 0.479 * [taylor]: Taking taylor expansion of (cos re) in re 0.479 * [taylor]: Taking taylor expansion of re in re 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.479 * [taylor]: Taking taylor expansion of 0.5 in re 0.479 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.479 * [taylor]: Taking taylor expansion of (cos re) in re 0.479 * [taylor]: Taking taylor expansion of re in re 0.480 * [taylor]: Taking taylor expansion of (exp im) in re 0.480 * [taylor]: Taking taylor expansion of im in re 0.480 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 0.480 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 0.480 * [taylor]: Taking taylor expansion of 0.5 in im 0.480 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.480 * [taylor]: Taking taylor expansion of (exp im) in im 0.480 * [taylor]: Taking taylor expansion of im in im 0.480 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.480 * [taylor]: Taking taylor expansion of 0.5 in im 0.480 * [taylor]: Taking taylor expansion of (exp im) in im 0.480 * [taylor]: Taking taylor expansion of im in im 0.484 * [taylor]: Taking taylor expansion of 0 in im 0.491 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 0.491 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 0.491 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.491 * [taylor]: Taking taylor expansion of 0.25 in im 0.491 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.491 * [taylor]: Taking taylor expansion of (exp im) in im 0.491 * [taylor]: Taking taylor expansion of im in im 0.492 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.492 * [taylor]: Taking taylor expansion of 0.25 in im 0.492 * [taylor]: Taking taylor expansion of (exp im) in im 0.492 * [taylor]: Taking taylor expansion of im in im 0.503 * [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 0.503 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.503 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.503 * [taylor]: Taking taylor expansion of 0.5 in im 0.503 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.503 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.503 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.503 * [taylor]: Taking taylor expansion of re in im 0.503 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.503 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.503 * [taylor]: Taking taylor expansion of im in im 0.504 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.504 * [taylor]: Taking taylor expansion of 0.5 in im 0.504 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.504 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.504 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.504 * [taylor]: Taking taylor expansion of re in im 0.504 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.504 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.504 * [taylor]: Taking taylor expansion of im in im 0.505 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.505 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.505 * [taylor]: Taking taylor expansion of 0.5 in re 0.505 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.505 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.505 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.505 * [taylor]: Taking taylor expansion of re in re 0.505 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.505 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.505 * [taylor]: Taking taylor expansion of im in re 0.505 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.505 * [taylor]: Taking taylor expansion of 0.5 in re 0.505 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.505 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.505 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.505 * [taylor]: Taking taylor expansion of re in re 0.505 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.505 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.505 * [taylor]: Taking taylor expansion of im in re 0.506 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.506 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.506 * [taylor]: Taking taylor expansion of 0.5 in re 0.506 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.506 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.506 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.506 * [taylor]: Taking taylor expansion of re in re 0.506 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.506 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.506 * [taylor]: Taking taylor expansion of im in re 0.506 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.506 * [taylor]: Taking taylor expansion of 0.5 in re 0.506 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.506 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.506 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.506 * [taylor]: Taking taylor expansion of re in re 0.506 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.507 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.507 * [taylor]: Taking taylor expansion of im in re 0.507 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.507 * [taylor]: Taking taylor expansion of 0.5 in im 0.507 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.507 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.507 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.507 * [taylor]: Taking taylor expansion of re in im 0.507 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.507 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.507 * [taylor]: Taking taylor expansion of im in im 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.508 * [taylor]: Taking taylor expansion of 0.5 in im 0.508 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.508 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.508 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.508 * [taylor]: Taking taylor expansion of re in im 0.508 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.508 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.508 * [taylor]: Taking taylor expansion of im in im 0.512 * [taylor]: Taking taylor expansion of 0 in im 0.520 * [taylor]: Taking taylor expansion of 0 in im 0.530 * [taylor]: Taking taylor expansion of 0 in im 0.531 * [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 0.531 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.531 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.531 * [taylor]: Taking taylor expansion of 0.5 in im 0.531 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.531 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.531 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.531 * [taylor]: Taking taylor expansion of -1 in im 0.531 * [taylor]: Taking taylor expansion of re in im 0.531 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.531 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.531 * [taylor]: Taking taylor expansion of -1 in im 0.531 * [taylor]: Taking taylor expansion of im in im 0.532 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.532 * [taylor]: Taking taylor expansion of 0.5 in im 0.532 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.532 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.532 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.532 * [taylor]: Taking taylor expansion of -1 in im 0.532 * [taylor]: Taking taylor expansion of im in im 0.533 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.533 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.533 * [taylor]: Taking taylor expansion of -1 in im 0.533 * [taylor]: Taking taylor expansion of re in im 0.533 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.533 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.533 * [taylor]: Taking taylor expansion of 0.5 in re 0.533 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.533 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.533 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.533 * [taylor]: Taking taylor expansion of -1 in re 0.533 * [taylor]: Taking taylor expansion of re in re 0.533 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.533 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.533 * [taylor]: Taking taylor expansion of -1 in re 0.533 * [taylor]: Taking taylor expansion of im in re 0.533 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.534 * [taylor]: Taking taylor expansion of 0.5 in re 0.534 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.534 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.534 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.534 * [taylor]: Taking taylor expansion of -1 in re 0.534 * [taylor]: Taking taylor expansion of im in re 0.534 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.534 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.534 * [taylor]: Taking taylor expansion of -1 in re 0.534 * [taylor]: Taking taylor expansion of re in re 0.534 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.534 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.534 * [taylor]: Taking taylor expansion of 0.5 in re 0.534 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.534 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.534 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.534 * [taylor]: Taking taylor expansion of -1 in re 0.534 * [taylor]: Taking taylor expansion of re in re 0.534 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.534 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.534 * [taylor]: Taking taylor expansion of -1 in re 0.535 * [taylor]: Taking taylor expansion of im in re 0.535 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.535 * [taylor]: Taking taylor expansion of 0.5 in re 0.535 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.535 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.535 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.535 * [taylor]: Taking taylor expansion of -1 in re 0.535 * [taylor]: Taking taylor expansion of im in re 0.535 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.535 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.535 * [taylor]: Taking taylor expansion of -1 in re 0.535 * [taylor]: Taking taylor expansion of re in re 0.536 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.536 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.536 * [taylor]: Taking taylor expansion of 0.5 in im 0.536 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.536 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.536 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.536 * [taylor]: Taking taylor expansion of -1 in im 0.536 * [taylor]: Taking taylor expansion of re in im 0.536 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.536 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.536 * [taylor]: Taking taylor expansion of -1 in im 0.536 * [taylor]: Taking taylor expansion of im in im 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.537 * [taylor]: Taking taylor expansion of 0.5 in im 0.537 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.537 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.537 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.537 * [taylor]: Taking taylor expansion of -1 in im 0.537 * [taylor]: Taking taylor expansion of im in im 0.537 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.537 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.537 * [taylor]: Taking taylor expansion of -1 in im 0.537 * [taylor]: Taking taylor expansion of re in im 0.540 * [taylor]: Taking taylor expansion of 0 in im 0.548 * [taylor]: Taking taylor expansion of 0 in im 0.559 * [taylor]: Taking taylor expansion of 0 in im 0.560 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.560 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.560 * [taylor]: Taking taylor expansion of 0.5 in im 0.560 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.560 * [taylor]: Taking taylor expansion of (exp im) in im 0.560 * [taylor]: Taking taylor expansion of im in im 0.560 * [taylor]: Taking taylor expansion of (cos re) in im 0.560 * [taylor]: Taking taylor expansion of re in im 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.560 * [taylor]: Taking taylor expansion of 0.5 in re 0.560 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.560 * [taylor]: Taking taylor expansion of (exp im) in re 0.560 * [taylor]: Taking taylor expansion of im in re 0.560 * [taylor]: Taking taylor expansion of (cos re) in re 0.560 * [taylor]: Taking taylor expansion of re in re 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.560 * [taylor]: Taking taylor expansion of 0.5 in re 0.560 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.560 * [taylor]: Taking taylor expansion of (exp im) in re 0.560 * [taylor]: Taking taylor expansion of im in re 0.560 * [taylor]: Taking taylor expansion of (cos re) in re 0.560 * [taylor]: Taking taylor expansion of re in re 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.560 * [taylor]: Taking taylor expansion of 0.5 in im 0.560 * [taylor]: Taking taylor expansion of (exp im) in im 0.560 * [taylor]: Taking taylor expansion of im in im 0.562 * [taylor]: Taking taylor expansion of 0 in im 0.565 * [taylor]: Taking taylor expansion of (- (* 0.25 (exp im))) in im 0.565 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.565 * [taylor]: Taking taylor expansion of 0.25 in im 0.565 * [taylor]: Taking taylor expansion of (exp im) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.567 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.567 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.567 * [taylor]: Taking taylor expansion of 0.5 in im 0.567 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.567 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.567 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.567 * [taylor]: Taking taylor expansion of re in im 0.567 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.567 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.567 * [taylor]: Taking taylor expansion of im in im 0.567 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.567 * [taylor]: Taking taylor expansion of 0.5 in re 0.567 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.567 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.567 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.567 * [taylor]: Taking taylor expansion of re in re 0.567 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.567 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.567 * [taylor]: Taking taylor expansion of im in re 0.568 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.568 * [taylor]: Taking taylor expansion of 0.5 in re 0.568 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.568 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.568 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.568 * [taylor]: Taking taylor expansion of re in re 0.568 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.568 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.568 * [taylor]: Taking taylor expansion of im in re 0.568 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.568 * [taylor]: Taking taylor expansion of 0.5 in im 0.568 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.568 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.568 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.568 * [taylor]: Taking taylor expansion of re in im 0.568 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.568 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.568 * [taylor]: Taking taylor expansion of im in im 0.570 * [taylor]: Taking taylor expansion of 0 in im 0.574 * [taylor]: Taking taylor expansion of 0 in im 0.579 * [taylor]: Taking taylor expansion of 0 in im 0.580 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 0.580 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.580 * [taylor]: Taking taylor expansion of 0.5 in im 0.580 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.580 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.580 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.580 * [taylor]: Taking taylor expansion of -1 in im 0.580 * [taylor]: Taking taylor expansion of im in im 0.580 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.580 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.580 * [taylor]: Taking taylor expansion of -1 in im 0.580 * [taylor]: Taking taylor expansion of re in im 0.580 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.580 * [taylor]: Taking taylor expansion of 0.5 in re 0.580 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.580 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.580 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.580 * [taylor]: Taking taylor expansion of -1 in re 0.580 * [taylor]: Taking taylor expansion of im in re 0.580 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.580 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.580 * [taylor]: Taking taylor expansion of -1 in re 0.580 * [taylor]: Taking taylor expansion of re in re 0.581 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.581 * [taylor]: Taking taylor expansion of 0.5 in re 0.581 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.581 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.581 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.581 * [taylor]: Taking taylor expansion of -1 in re 0.581 * [taylor]: Taking taylor expansion of im in re 0.581 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.581 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.581 * [taylor]: Taking taylor expansion of -1 in re 0.581 * [taylor]: Taking taylor expansion of re in re 0.581 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.582 * [taylor]: Taking taylor expansion of 0.5 in im 0.582 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.582 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.582 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.582 * [taylor]: Taking taylor expansion of -1 in im 0.582 * [taylor]: Taking taylor expansion of im in im 0.582 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.582 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.582 * [taylor]: Taking taylor expansion of -1 in im 0.582 * [taylor]: Taking taylor expansion of re in im 0.584 * [taylor]: Taking taylor expansion of 0 in im 0.592 * [taylor]: Taking taylor expansion of 0 in im 0.598 * [taylor]: Taking taylor expansion of 0 in im 0.598 * * * [progress]: simplifying candidates 0.599 * [simplify]: Simplifying using # : (- (+ (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)) (* (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 (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)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 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)))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 0.603 * * [simplify]: iteration 0 : 284 enodes (cost 450 ) 0.609 * * [simplify]: iteration 1 : 1619 enodes (cost 391 ) 0.645 * * [simplify]: iteration 2 : 5001 enodes (cost 384 ) 0.647 * [simplify]: Simplified to: (- (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)) (exp (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (log (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (exp (* 0.5 (+ (* (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 (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) 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)) (* 0.5 (+ (* (/ (cos re) (exp im)) (* 0.5 (/ (cos re) (exp im)))) (* (* (cos re) (exp im)) (* 0.5 (- (* (cos re) (exp im)) (/ (cos re) (exp im))))))) (* (* 0.5 0.5) (- (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (* (exp (+ im im)) (* (cos re) (cos re))))) (* (cos re) (- (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 1 (exp im)) (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)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (cos re) (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))) (* (cos re) (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 0.647 * * * [progress]: adding candidates to table 0.747 * * [progress]: iteration 3 / 4 0.747 * * * [progress]: picking best candidate 0.755 * * * * [pick]: Picked # 0.755 * * * [progress]: localizing error 0.772 * * * [progress]: generating rewritten candidates 0.772 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.783 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.786 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.796 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.804 * * * [progress]: generating series expansions 0.804 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.804 * [approximate]: Taking taylor expansion of (pow (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 3) in (re im) around 0 0.804 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 3) in im 0.804 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.804 * [taylor]: Taking taylor expansion of 0.5 in im 0.804 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.804 * [taylor]: Taking taylor expansion of (cos re) in im 0.804 * [taylor]: Taking taylor expansion of re in im 0.804 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.804 * [taylor]: Taking taylor expansion of (exp im) in im 0.804 * [taylor]: Taking taylor expansion of im in im 0.804 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.804 * [taylor]: Taking taylor expansion of (- im) in im 0.804 * [taylor]: Taking taylor expansion of im in im 0.806 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 3) in re 0.806 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.806 * [taylor]: Taking taylor expansion of 0.5 in re 0.806 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.806 * [taylor]: Taking taylor expansion of (cos re) in re 0.806 * [taylor]: Taking taylor expansion of re in re 0.806 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.806 * [taylor]: Taking taylor expansion of (exp im) in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.806 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.806 * [taylor]: Taking taylor expansion of (- im) in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.806 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 3) in re 0.806 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.806 * [taylor]: Taking taylor expansion of 0.5 in re 0.806 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.806 * [taylor]: Taking taylor expansion of (cos re) in re 0.806 * [taylor]: Taking taylor expansion of re in re 0.806 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.806 * [taylor]: Taking taylor expansion of (exp im) in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.806 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.806 * [taylor]: Taking taylor expansion of (- im) in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.807 * [taylor]: Taking taylor expansion of (* 0.125 (pow (+ (exp im) (exp (- im))) 3)) in im 0.807 * [taylor]: Taking taylor expansion of 0.125 in im 0.807 * [taylor]: Taking taylor expansion of (pow (+ (exp im) (exp (- im))) 3) in im 0.807 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.807 * [taylor]: Taking taylor expansion of (exp im) in im 0.807 * [taylor]: Taking taylor expansion of im in im 0.807 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.807 * [taylor]: Taking taylor expansion of (- im) in im 0.807 * [taylor]: Taking taylor expansion of im in im 0.811 * [taylor]: Taking taylor expansion of 0 in im 0.820 * [taylor]: Taking taylor expansion of (- (+ (* 0.5625 (* (exp im) (pow (exp (- im)) 2))) (+ (* 0.1875 (pow (exp (- im)) 3)) (+ (* 0.1875 (pow (exp im) 3)) (* 0.5625 (* (pow (exp im) 2) (exp (- im)))))))) in im 0.820 * [taylor]: Taking taylor expansion of (+ (* 0.5625 (* (exp im) (pow (exp (- im)) 2))) (+ (* 0.1875 (pow (exp (- im)) 3)) (+ (* 0.1875 (pow (exp im) 3)) (* 0.5625 (* (pow (exp im) 2) (exp (- im))))))) in im 0.820 * [taylor]: Taking taylor expansion of (* 0.5625 (* (exp im) (pow (exp (- im)) 2))) in im 0.820 * [taylor]: Taking taylor expansion of 0.5625 in im 0.820 * [taylor]: Taking taylor expansion of (* (exp im) (pow (exp (- im)) 2)) in im 0.820 * [taylor]: Taking taylor expansion of (exp im) in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.820 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 0.820 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.820 * [taylor]: Taking taylor expansion of (- im) in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.820 * [taylor]: Taking taylor expansion of (+ (* 0.1875 (pow (exp (- im)) 3)) (+ (* 0.1875 (pow (exp im) 3)) (* 0.5625 (* (pow (exp im) 2) (exp (- im)))))) in im 0.820 * [taylor]: Taking taylor expansion of (* 0.1875 (pow (exp (- im)) 3)) in im 0.820 * [taylor]: Taking taylor expansion of 0.1875 in im 0.820 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.820 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.820 * [taylor]: Taking taylor expansion of (- im) in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.821 * [taylor]: Taking taylor expansion of (+ (* 0.1875 (pow (exp im) 3)) (* 0.5625 (* (pow (exp im) 2) (exp (- im))))) in im 0.821 * [taylor]: Taking taylor expansion of (* 0.1875 (pow (exp im) 3)) in im 0.821 * [taylor]: Taking taylor expansion of 0.1875 in im 0.821 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.821 * [taylor]: Taking taylor expansion of (exp im) in im 0.821 * [taylor]: Taking taylor expansion of im in im 0.821 * [taylor]: Taking taylor expansion of (* 0.5625 (* (pow (exp im) 2) (exp (- im)))) in im 0.821 * [taylor]: Taking taylor expansion of 0.5625 in im 0.821 * [taylor]: Taking taylor expansion of (* (pow (exp im) 2) (exp (- im))) in im 0.821 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.821 * [taylor]: Taking taylor expansion of (exp im) in im 0.821 * [taylor]: Taking taylor expansion of im in im 0.821 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.821 * [taylor]: Taking taylor expansion of (- im) in im 0.821 * [taylor]: Taking taylor expansion of im in im 0.830 * [approximate]: Taking taylor expansion of (pow (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 3) in (re im) around 0 0.831 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 3) in im 0.831 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.831 * [taylor]: Taking taylor expansion of 0.5 in im 0.831 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.831 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.831 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.831 * [taylor]: Taking taylor expansion of re in im 0.831 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.831 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.831 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.831 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.831 * [taylor]: Taking taylor expansion of im in im 0.831 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.831 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.831 * [taylor]: Taking taylor expansion of im in im 0.832 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 3) in re 0.832 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.832 * [taylor]: Taking taylor expansion of 0.5 in re 0.832 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.832 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.832 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.832 * [taylor]: Taking taylor expansion of re in re 0.833 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.833 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.833 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.833 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.833 * [taylor]: Taking taylor expansion of im in re 0.833 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.833 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.833 * [taylor]: Taking taylor expansion of im in re 0.833 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 3) in re 0.833 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.833 * [taylor]: Taking taylor expansion of 0.5 in re 0.833 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.833 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.833 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.833 * [taylor]: Taking taylor expansion of re in re 0.834 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.834 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.834 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.834 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.834 * [taylor]: Taking taylor expansion of im in re 0.834 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.834 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.834 * [taylor]: Taking taylor expansion of im in re 0.835 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (cos (/ 1 re)) 3) (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 3))) in im 0.835 * [taylor]: Taking taylor expansion of 0.125 in im 0.835 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 1 re)) 3) (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 3)) in im 0.835 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 re)) 3) in im 0.835 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.835 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.835 * [taylor]: Taking taylor expansion of re in im 0.835 * [taylor]: Taking taylor expansion of (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 3) in im 0.835 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.835 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.835 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.835 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.835 * [taylor]: Taking taylor expansion of im in im 0.836 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.836 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.836 * [taylor]: Taking taylor expansion of im in im 0.840 * [taylor]: Taking taylor expansion of 0 in im 0.849 * [taylor]: Taking taylor expansion of 0 in im 0.860 * [taylor]: Taking taylor expansion of 0 in im 0.866 * [approximate]: Taking taylor expansion of (pow (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 3) in (re im) around 0 0.866 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 3) in im 0.866 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.866 * [taylor]: Taking taylor expansion of 0.5 in im 0.866 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.866 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.866 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.866 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.866 * [taylor]: Taking taylor expansion of -1 in im 0.866 * [taylor]: Taking taylor expansion of im in im 0.867 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.867 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.867 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.867 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.867 * [taylor]: Taking taylor expansion of -1 in im 0.867 * [taylor]: Taking taylor expansion of re in im 0.868 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 3) in re 0.868 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.868 * [taylor]: Taking taylor expansion of 0.5 in re 0.868 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.868 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.868 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.868 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.868 * [taylor]: Taking taylor expansion of -1 in re 0.868 * [taylor]: Taking taylor expansion of im in re 0.868 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.868 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.868 * [taylor]: Taking taylor expansion of im in re 0.868 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.868 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.868 * [taylor]: Taking taylor expansion of -1 in re 0.868 * [taylor]: Taking taylor expansion of re in re 0.869 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 3) in re 0.869 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.869 * [taylor]: Taking taylor expansion of 0.5 in re 0.869 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.869 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.869 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.869 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.869 * [taylor]: Taking taylor expansion of -1 in re 0.869 * [taylor]: Taking taylor expansion of im in re 0.869 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.869 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.869 * [taylor]: Taking taylor expansion of im in re 0.869 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.869 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.869 * [taylor]: Taking taylor expansion of -1 in re 0.869 * [taylor]: Taking taylor expansion of re in re 0.870 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) (pow (cos (/ -1 re)) 3))) in im 0.871 * [taylor]: Taking taylor expansion of 0.125 in im 0.871 * [taylor]: Taking taylor expansion of (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) (pow (cos (/ -1 re)) 3)) in im 0.871 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 0.871 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.871 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.871 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.871 * [taylor]: Taking taylor expansion of -1 in im 0.871 * [taylor]: Taking taylor expansion of im in im 0.871 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.871 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.871 * [taylor]: Taking taylor expansion of im in im 0.871 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 re)) 3) in im 0.871 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.871 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.871 * [taylor]: Taking taylor expansion of -1 in im 0.871 * [taylor]: Taking taylor expansion of re in im 0.875 * [taylor]: Taking taylor expansion of 0 in im 0.883 * [taylor]: Taking taylor expansion of 0 in im 0.893 * [taylor]: Taking taylor expansion of 0 in im 0.894 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.894 * [approximate]: Taking taylor expansion of (* (cos re) (* 0.5 (+ (exp im) (exp (- im))))) in (re im) around 0 0.894 * [taylor]: Taking taylor expansion of (* (cos re) (* 0.5 (+ (exp im) (exp (- im))))) in im 0.894 * [taylor]: Taking taylor expansion of (cos re) in im 0.894 * [taylor]: Taking taylor expansion of re in im 0.894 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.894 * [taylor]: Taking taylor expansion of 0.5 in im 0.894 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.894 * [taylor]: Taking taylor expansion of (exp im) in im 0.894 * [taylor]: Taking taylor expansion of im in im 0.894 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.894 * [taylor]: Taking taylor expansion of (- im) in im 0.894 * [taylor]: Taking taylor expansion of im in im 0.895 * [taylor]: Taking taylor expansion of (* (cos re) (* 0.5 (+ (exp im) (exp (- im))))) in re 0.895 * [taylor]: Taking taylor expansion of (cos re) in re 0.895 * [taylor]: Taking taylor expansion of re in re 0.895 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in re 0.895 * [taylor]: Taking taylor expansion of 0.5 in re 0.895 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.895 * [taylor]: Taking taylor expansion of (exp im) in re 0.895 * [taylor]: Taking taylor expansion of im in re 0.895 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.895 * [taylor]: Taking taylor expansion of (- im) in re 0.895 * [taylor]: Taking taylor expansion of im in re 0.895 * [taylor]: Taking taylor expansion of (* (cos re) (* 0.5 (+ (exp im) (exp (- im))))) in re 0.895 * [taylor]: Taking taylor expansion of (cos re) in re 0.895 * [taylor]: Taking taylor expansion of re in re 0.895 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in re 0.895 * [taylor]: Taking taylor expansion of 0.5 in re 0.895 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.895 * [taylor]: Taking taylor expansion of (exp im) in re 0.895 * [taylor]: Taking taylor expansion of im in re 0.895 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.895 * [taylor]: Taking taylor expansion of (- im) in re 0.895 * [taylor]: Taking taylor expansion of im in re 0.895 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.895 * [taylor]: Taking taylor expansion of 0.5 in im 0.895 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.895 * [taylor]: Taking taylor expansion of (exp im) in im 0.895 * [taylor]: Taking taylor expansion of im in im 0.896 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.896 * [taylor]: Taking taylor expansion of (- im) in im 0.896 * [taylor]: Taking taylor expansion of im in im 0.899 * [taylor]: Taking taylor expansion of 0 in im 0.905 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.905 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.905 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.905 * [taylor]: Taking taylor expansion of 0.25 in im 0.905 * [taylor]: Taking taylor expansion of (exp im) in im 0.906 * [taylor]: Taking taylor expansion of im in im 0.906 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.906 * [taylor]: Taking taylor expansion of 0.25 in im 0.906 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.906 * [taylor]: Taking taylor expansion of (- im) in im 0.906 * [taylor]: Taking taylor expansion of im in im 0.912 * [approximate]: Taking taylor expansion of (* (cos (/ 1 re)) (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.912 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.912 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.912 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.912 * [taylor]: Taking taylor expansion of re in im 0.912 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.912 * [taylor]: Taking taylor expansion of 0.5 in im 0.912 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.912 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.912 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.912 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.912 * [taylor]: Taking taylor expansion of im in im 0.913 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.913 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.913 * [taylor]: Taking taylor expansion of im in im 0.913 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.913 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.913 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.913 * [taylor]: Taking taylor expansion of re in re 0.913 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.913 * [taylor]: Taking taylor expansion of 0.5 in re 0.913 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.913 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.913 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.913 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.913 * [taylor]: Taking taylor expansion of im in re 0.914 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.914 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.914 * [taylor]: Taking taylor expansion of im in re 0.914 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.914 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.914 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.914 * [taylor]: Taking taylor expansion of re in re 0.914 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.914 * [taylor]: Taking taylor expansion of 0.5 in re 0.914 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.914 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.914 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.914 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.914 * [taylor]: Taking taylor expansion of im in re 0.914 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.914 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.914 * [taylor]: Taking taylor expansion of im in re 0.915 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.915 * [taylor]: Taking taylor expansion of 0.5 in im 0.915 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.915 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.915 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.915 * [taylor]: Taking taylor expansion of re in im 0.915 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.915 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.915 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.915 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.915 * [taylor]: Taking taylor expansion of im in im 0.915 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.915 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.915 * [taylor]: Taking taylor expansion of im in im 0.919 * [taylor]: Taking taylor expansion of 0 in im 0.924 * [taylor]: Taking taylor expansion of 0 in im 0.932 * [taylor]: Taking taylor expansion of 0 in im 0.933 * [approximate]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* (cos (/ -1 re)) 0.5)) in (re im) around 0 0.933 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* (cos (/ -1 re)) 0.5)) in im 0.933 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.933 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.933 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.933 * [taylor]: Taking taylor expansion of -1 in im 0.933 * [taylor]: Taking taylor expansion of im in im 0.933 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.933 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.933 * [taylor]: Taking taylor expansion of im in im 0.934 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) 0.5) in im 0.934 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.934 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.934 * [taylor]: Taking taylor expansion of -1 in im 0.934 * [taylor]: Taking taylor expansion of re in im 0.934 * [taylor]: Taking taylor expansion of 0.5 in im 0.934 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* (cos (/ -1 re)) 0.5)) in re 0.934 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.934 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.934 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.934 * [taylor]: Taking taylor expansion of -1 in re 0.934 * [taylor]: Taking taylor expansion of im in re 0.934 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.934 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.934 * [taylor]: Taking taylor expansion of im in re 0.934 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) 0.5) in re 0.934 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.934 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.934 * [taylor]: Taking taylor expansion of -1 in re 0.934 * [taylor]: Taking taylor expansion of re in re 0.934 * [taylor]: Taking taylor expansion of 0.5 in re 0.934 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* (cos (/ -1 re)) 0.5)) in re 0.935 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.935 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.935 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.935 * [taylor]: Taking taylor expansion of -1 in re 0.935 * [taylor]: Taking taylor expansion of im in re 0.935 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.935 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.935 * [taylor]: Taking taylor expansion of im in re 0.935 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) 0.5) in re 0.935 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.935 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.935 * [taylor]: Taking taylor expansion of -1 in re 0.935 * [taylor]: Taking taylor expansion of re in re 0.935 * [taylor]: Taking taylor expansion of 0.5 in re 0.935 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.935 * [taylor]: Taking taylor expansion of 0.5 in im 0.935 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.935 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.935 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.935 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.935 * [taylor]: Taking taylor expansion of -1 in im 0.936 * [taylor]: Taking taylor expansion of im in im 0.936 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.936 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.936 * [taylor]: Taking taylor expansion of im in im 0.936 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.936 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.936 * [taylor]: Taking taylor expansion of -1 in im 0.936 * [taylor]: Taking taylor expansion of re in im 0.939 * [taylor]: Taking taylor expansion of 0 in im 0.944 * [taylor]: Taking taylor expansion of 0 in im 0.951 * [taylor]: Taking taylor expansion of 0 in im 0.951 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.951 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.951 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.951 * [taylor]: Taking taylor expansion of 0.5 in im 0.951 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.951 * [taylor]: Taking taylor expansion of (cos re) in im 0.951 * [taylor]: Taking taylor expansion of re in im 0.951 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.951 * [taylor]: Taking taylor expansion of (exp im) in im 0.951 * [taylor]: Taking taylor expansion of im in im 0.951 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.951 * [taylor]: Taking taylor expansion of (- im) in im 0.951 * [taylor]: Taking taylor expansion of im in im 0.952 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.952 * [taylor]: Taking taylor expansion of 0.5 in re 0.952 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.952 * [taylor]: Taking taylor expansion of (cos re) in re 0.952 * [taylor]: Taking taylor expansion of re in re 0.952 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.952 * [taylor]: Taking taylor expansion of (exp im) in re 0.952 * [taylor]: Taking taylor expansion of im in re 0.952 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.952 * [taylor]: Taking taylor expansion of (- im) in re 0.952 * [taylor]: Taking taylor expansion of im in re 0.952 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.952 * [taylor]: Taking taylor expansion of 0.5 in re 0.952 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.952 * [taylor]: Taking taylor expansion of (cos re) in re 0.952 * [taylor]: Taking taylor expansion of re in re 0.952 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.952 * [taylor]: Taking taylor expansion of (exp im) in re 0.952 * [taylor]: Taking taylor expansion of im in re 0.952 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.952 * [taylor]: Taking taylor expansion of (- im) in re 0.952 * [taylor]: Taking taylor expansion of im in re 0.952 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.952 * [taylor]: Taking taylor expansion of 0.5 in im 0.953 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.953 * [taylor]: Taking taylor expansion of (exp im) in im 0.953 * [taylor]: Taking taylor expansion of im in im 0.953 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.953 * [taylor]: Taking taylor expansion of (- im) in im 0.953 * [taylor]: Taking taylor expansion of im in im 0.961 * [taylor]: Taking taylor expansion of 0 in im 0.966 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.966 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.966 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.966 * [taylor]: Taking taylor expansion of 0.25 in im 0.966 * [taylor]: Taking taylor expansion of (exp im) in im 0.966 * [taylor]: Taking taylor expansion of im in im 0.966 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.966 * [taylor]: Taking taylor expansion of 0.25 in im 0.966 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.966 * [taylor]: Taking taylor expansion of (- im) in im 0.967 * [taylor]: Taking taylor expansion of im in im 0.972 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.972 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.972 * [taylor]: Taking taylor expansion of 0.5 in im 0.972 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.972 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.972 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.972 * [taylor]: Taking taylor expansion of re in im 0.973 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.973 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.973 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.973 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.973 * [taylor]: Taking taylor expansion of im in im 0.973 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.973 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.973 * [taylor]: Taking taylor expansion of im in im 0.973 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.974 * [taylor]: Taking taylor expansion of 0.5 in re 0.974 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.974 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.974 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.974 * [taylor]: Taking taylor expansion of re in re 0.974 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.974 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.974 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.974 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.974 * [taylor]: Taking taylor expansion of im in re 0.974 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.974 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.974 * [taylor]: Taking taylor expansion of im in re 0.974 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.974 * [taylor]: Taking taylor expansion of 0.5 in re 0.974 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.974 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.974 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.974 * [taylor]: Taking taylor expansion of re in re 0.975 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.975 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.975 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.975 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.975 * [taylor]: Taking taylor expansion of im in re 0.975 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.975 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.975 * [taylor]: Taking taylor expansion of im in re 0.975 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.975 * [taylor]: Taking taylor expansion of 0.5 in im 0.975 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.975 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.975 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.975 * [taylor]: Taking taylor expansion of re in im 0.975 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.975 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.975 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.975 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.975 * [taylor]: Taking taylor expansion of im in im 0.976 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.976 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.976 * [taylor]: Taking taylor expansion of im in im 0.979 * [taylor]: Taking taylor expansion of 0 in im 0.985 * [taylor]: Taking taylor expansion of 0 in im 0.993 * [taylor]: Taking taylor expansion of 0 in im 0.993 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.993 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.993 * [taylor]: Taking taylor expansion of 0.5 in im 0.993 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.993 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.993 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.993 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.993 * [taylor]: Taking taylor expansion of -1 in im 0.993 * [taylor]: Taking taylor expansion of im in im 0.994 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.994 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.994 * [taylor]: Taking taylor expansion of im in im 0.994 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.994 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.994 * [taylor]: Taking taylor expansion of -1 in im 0.994 * [taylor]: Taking taylor expansion of re in im 0.994 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.994 * [taylor]: Taking taylor expansion of 0.5 in re 0.994 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.994 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.994 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.994 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.994 * [taylor]: Taking taylor expansion of -1 in re 0.994 * [taylor]: Taking taylor expansion of im in re 0.994 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.994 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.994 * [taylor]: Taking taylor expansion of im in re 0.994 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.994 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.994 * [taylor]: Taking taylor expansion of -1 in re 0.994 * [taylor]: Taking taylor expansion of re in re 0.995 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.995 * [taylor]: Taking taylor expansion of 0.5 in re 0.995 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.995 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.995 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.995 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.995 * [taylor]: Taking taylor expansion of -1 in re 0.995 * [taylor]: Taking taylor expansion of im in re 0.995 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.995 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.995 * [taylor]: Taking taylor expansion of im in re 0.995 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.995 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.995 * [taylor]: Taking taylor expansion of -1 in re 0.995 * [taylor]: Taking taylor expansion of re in re 0.996 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.996 * [taylor]: Taking taylor expansion of 0.5 in im 0.996 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) 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 0.996 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.996 * [taylor]: Taking taylor expansion of -1 in im 0.996 * [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 0.997 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.997 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.997 * [taylor]: Taking taylor expansion of -1 in im 0.997 * [taylor]: Taking taylor expansion of re in im 0.999 * [taylor]: Taking taylor expansion of 0 in im 1.006 * [taylor]: Taking taylor expansion of 0 in im 1.013 * [taylor]: Taking taylor expansion of 0 in im 1.013 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.014 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 1.014 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.014 * [taylor]: Taking taylor expansion of (exp im) in im 1.014 * [taylor]: Taking taylor expansion of im in im 1.014 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.014 * [taylor]: Taking taylor expansion of (- im) in im 1.014 * [taylor]: Taking taylor expansion of im in im 1.014 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.014 * [taylor]: Taking taylor expansion of (exp im) in im 1.014 * [taylor]: Taking taylor expansion of im in im 1.014 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.014 * [taylor]: Taking taylor expansion of (- im) in im 1.014 * [taylor]: Taking taylor expansion of im in im 1.029 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 1.029 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.029 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.029 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.029 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.029 * [taylor]: Taking taylor expansion of im in im 1.029 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.029 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.029 * [taylor]: Taking taylor expansion of im in im 1.030 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.030 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.030 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.030 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.030 * [taylor]: Taking taylor expansion of im in im 1.030 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.030 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.030 * [taylor]: Taking taylor expansion of im in im 1.032 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.032 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.032 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.032 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.032 * [taylor]: Taking taylor expansion of -1 in im 1.032 * [taylor]: Taking taylor expansion of im in im 1.033 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.033 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.033 * [taylor]: Taking taylor expansion of im in im 1.033 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.033 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.033 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.033 * [taylor]: Taking taylor expansion of -1 in im 1.033 * [taylor]: Taking taylor expansion of im in im 1.034 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.034 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.034 * [taylor]: Taking taylor expansion of im in im 1.036 * * * [progress]: simplifying candidates 1.037 * [simplify]: Simplifying using # : (* (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (- im)) (exp im)))) 3) (* (+ (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im)))) 3) (* (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) 3) (* (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) 3) (* 1 3) (* 1 3) (* 1 3) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (cbrt 3) (cbrt 3))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (sqrt 3)) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 1) (pow (* 0.5 (cos re)) 3) (pow (+ (exp (- im)) (exp im)) 3) (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (exp (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (* (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (* (* (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (pow (* 0.5 (cos re)) 3) (pow (+ (exp (- im)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) 3) (pow (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) 3) (pow (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) 3) (pow (- (exp (- im)) (exp im)) 3) (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (sqrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (/ 3 2)) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (/ 3 2)) (log (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) (exp (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) (cbrt (pow (* 0.5 (cos re)) 3)) (cbrt (pow (+ (exp (- im)) (exp im)) 3)) (cbrt (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)))) (cbrt (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) (cbrt (pow (* 0.5 (cos re)) 3)) (cbrt (pow (+ (exp (- im)) (exp im)) 3)) (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))))) (cbrt (sqrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) (cbrt (sqrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) (cbrt 1) (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (/ 3 2))) (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (/ 3 2))) (cbrt (pow (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) 3)) (cbrt (pow (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) 3)) (cbrt (pow (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) 3)) (cbrt (pow (- (exp (- im)) (exp im)) 3)) (* (cbrt (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) (cbrt (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)))) (cbrt (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) (* (* (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) (sqrt (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) (sqrt (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) (* (* 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)))) (* (exp (exp (- im))) (exp (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (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)) (- (+ (* 1.5 (pow im 2)) 1.0) (* 1.5 (pow re 2))) (* 0.125 (* (pow (cos re) 3) (pow (+ (exp im) (exp (- im))) 3))) (* 0.125 (* (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (cos re) 3))) (- (+ (* 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))) (- (+ (* 0.5 (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))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 1.049 * * [simplify]: iteration 0 : 383 enodes (cost 813 ) 1.057 * * [simplify]: iteration 1 : 1992 enodes (cost 766 ) 1.103 * * [simplify]: iteration 2 : 5002 enodes (cost 765 ) 1.107 * [simplify]: Simplified to: (log (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (log (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (log (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (log (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) 3 3 3 (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (cbrt 3) (cbrt 3))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (sqrt 3)) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (pow (* 0.5 (cos re)) 3) (pow (+ (exp (- im)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 2) (log (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (exp (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 2) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (pow (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) 3) (pow (* 0.5 (cos re)) 3) (pow (+ (exp (- im)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) 3) (pow (- (+ (exp (+ (- im) (- im))) (exp (+ im im))) (exp (+ (- im) im))) 3) (pow (* (+ (exp (+ (- im) (- im))) (- (exp (+ im im)))) (* 0.5 (cos re))) 3) (pow (- (exp (- im)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 2) (sqrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (sqrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3/2) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3/2) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* 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))))) (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))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* 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))))) (cbrt (sqrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) (cbrt (sqrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))) 1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3/2)) (cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3/2)) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (- (exp (+ im im)) (- 1 (pow (exp -1) (* 2 im)))) (* (+ (exp (+ (- im) (- im))) (- (exp (+ im im)))) (* 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))))) (cbrt (* (* 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))) 1/2) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 1/2) (* (* 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) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 1/2) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 1/2) (/ (* 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))) (* (+ (exp (+ (- im) (- im))) (- (exp (+ im im)))) (* 0.5 (cos re))) (exp (+ (exp (- im)) (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (pow (+ (exp (- im)) (exp im)) 3) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (- (exp (+ im im)) (- 1 (pow (exp -1) (* 2 im)))) (+ (- (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (- (+ (* 1.5 (pow im 2)) 1.0) (* 1.5 (pow re 2))) (* 0.125 (* (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (cos re) 3))) (* 0.125 (* (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (cos re) 3))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (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 (cos re)) (+ (exp (- im)) (exp im))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) 1.107 * * * [progress]: adding candidates to table 1.293 * * [progress]: iteration 4 / 4 1.293 * * * [progress]: picking best candidate 1.301 * * * * [pick]: Picked # 1.301 * * * [progress]: localizing error 1.315 * * * [progress]: generating rewritten candidates 1.315 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.318 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.322 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.332 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.338 * * * [progress]: generating series expansions 1.338 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.338 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 1.338 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 1.338 * [taylor]: Taking taylor expansion of 0.5 in im 1.338 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 1.338 * [taylor]: Taking taylor expansion of (cos re) in im 1.338 * [taylor]: Taking taylor expansion of re in im 1.338 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.338 * [taylor]: Taking taylor expansion of (exp im) in im 1.338 * [taylor]: Taking taylor expansion of im in im 1.338 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.338 * [taylor]: Taking taylor expansion of (- im) in im 1.339 * [taylor]: Taking taylor expansion of im in im 1.339 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.339 * [taylor]: Taking taylor expansion of 0.5 in re 1.339 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.339 * [taylor]: Taking taylor expansion of (cos re) in re 1.339 * [taylor]: Taking taylor expansion of re in re 1.339 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.339 * [taylor]: Taking taylor expansion of (exp im) in re 1.339 * [taylor]: Taking taylor expansion of im in re 1.339 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.339 * [taylor]: Taking taylor expansion of (- im) in re 1.339 * [taylor]: Taking taylor expansion of im in re 1.339 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.339 * [taylor]: Taking taylor expansion of 0.5 in re 1.339 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.340 * [taylor]: Taking taylor expansion of (cos re) in re 1.340 * [taylor]: Taking taylor expansion of re in re 1.340 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.340 * [taylor]: Taking taylor expansion of (exp im) in re 1.340 * [taylor]: Taking taylor expansion of im in re 1.340 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.340 * [taylor]: Taking taylor expansion of (- im) in re 1.340 * [taylor]: Taking taylor expansion of im in re 1.340 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 1.340 * [taylor]: Taking taylor expansion of 0.5 in im 1.340 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.340 * [taylor]: Taking taylor expansion of (exp im) in im 1.340 * [taylor]: Taking taylor expansion of im in im 1.340 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.340 * [taylor]: Taking taylor expansion of (- im) in im 1.340 * [taylor]: Taking taylor expansion of im in im 1.343 * [taylor]: Taking taylor expansion of 0 in im 1.349 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 1.349 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 1.349 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.349 * [taylor]: Taking taylor expansion of 0.25 in im 1.349 * [taylor]: Taking taylor expansion of (exp im) in im 1.349 * [taylor]: Taking taylor expansion of im in im 1.349 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 1.349 * [taylor]: Taking taylor expansion of 0.25 in im 1.349 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.349 * [taylor]: Taking taylor expansion of (- im) in im 1.349 * [taylor]: Taking taylor expansion of im in im 1.355 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 1.355 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.355 * [taylor]: Taking taylor expansion of 0.5 in im 1.355 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.355 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.355 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.355 * [taylor]: Taking taylor expansion of re in im 1.355 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.355 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.355 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.355 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.355 * [taylor]: Taking taylor expansion of im in im 1.356 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.356 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.356 * [taylor]: Taking taylor expansion of im in im 1.356 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.356 * [taylor]: Taking taylor expansion of 0.5 in re 1.356 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.356 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.356 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.357 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.357 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.357 * [taylor]: Taking taylor expansion of 0.5 in re 1.357 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.357 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.357 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.357 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.357 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.358 * [taylor]: Taking taylor expansion of 0.5 in im 1.358 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.358 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.358 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.358 * [taylor]: Taking taylor expansion of re in im 1.358 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.358 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.358 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.358 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.358 * [taylor]: Taking taylor expansion of im in im 1.358 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.359 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.359 * [taylor]: Taking taylor expansion of im in im 1.362 * [taylor]: Taking taylor expansion of 0 in im 1.367 * [taylor]: Taking taylor expansion of 0 in im 1.375 * [taylor]: Taking taylor expansion of 0 in im 1.376 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 1.376 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.376 * [taylor]: Taking taylor expansion of 0.5 in im 1.376 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.376 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.376 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.376 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.376 * [taylor]: Taking taylor expansion of -1 in im 1.376 * [taylor]: Taking taylor expansion of im in im 1.376 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.376 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.376 * [taylor]: Taking taylor expansion of im in im 1.376 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.376 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.376 * [taylor]: Taking taylor expansion of -1 in im 1.376 * [taylor]: Taking taylor expansion of re in im 1.376 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.377 * [taylor]: Taking taylor expansion of 0.5 in re 1.377 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.377 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.377 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.377 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.377 * [taylor]: Taking taylor expansion of -1 in re 1.377 * [taylor]: Taking taylor expansion of im in re 1.377 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.377 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.377 * [taylor]: Taking taylor expansion of im in re 1.377 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.377 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.377 * [taylor]: Taking taylor expansion of -1 in re 1.377 * [taylor]: Taking taylor expansion of re in re 1.377 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.377 * [taylor]: Taking taylor expansion of 0.5 in re 1.377 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.377 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.377 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.377 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.377 * [taylor]: Taking taylor expansion of -1 in re 1.377 * [taylor]: Taking taylor expansion of im in re 1.377 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.377 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.377 * [taylor]: Taking taylor expansion of im in re 1.377 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.377 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.377 * [taylor]: Taking taylor expansion of -1 in re 1.377 * [taylor]: Taking taylor expansion of re in re 1.378 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.378 * [taylor]: Taking taylor expansion of 0.5 in im 1.378 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.378 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.378 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.378 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.378 * [taylor]: Taking taylor expansion of -1 in im 1.378 * [taylor]: Taking taylor expansion of im in im 1.378 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.378 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.379 * [taylor]: Taking taylor expansion of im in im 1.379 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.379 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.379 * [taylor]: Taking taylor expansion of -1 in im 1.379 * [taylor]: Taking taylor expansion of re in im 1.381 * [taylor]: Taking taylor expansion of 0 in im 1.387 * [taylor]: Taking taylor expansion of 0 in im 1.398 * [taylor]: Taking taylor expansion of 0 in im 1.398 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.398 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in (re im) around 0 1.398 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in im 1.398 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 1.398 * [taylor]: Taking taylor expansion of 0.5 in im 1.398 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 1.398 * [taylor]: Taking taylor expansion of (cos re) in im 1.398 * [taylor]: Taking taylor expansion of re in im 1.398 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.398 * [taylor]: Taking taylor expansion of (exp im) in im 1.399 * [taylor]: Taking taylor expansion of im in im 1.399 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.399 * [taylor]: Taking taylor expansion of (- im) in im 1.399 * [taylor]: Taking taylor expansion of im in im 1.400 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re 1.400 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.400 * [taylor]: Taking taylor expansion of 0.5 in re 1.400 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.400 * [taylor]: Taking taylor expansion of (cos re) in re 1.400 * [taylor]: Taking taylor expansion of re in re 1.400 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.400 * [taylor]: Taking taylor expansion of (exp im) in re 1.400 * [taylor]: Taking taylor expansion of im in re 1.400 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.400 * [taylor]: Taking taylor expansion of (- im) in re 1.400 * [taylor]: Taking taylor expansion of im in re 1.400 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re 1.400 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.400 * [taylor]: Taking taylor expansion of 0.5 in re 1.400 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.400 * [taylor]: Taking taylor expansion of (cos re) in re 1.400 * [taylor]: Taking taylor expansion of re in re 1.400 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.400 * [taylor]: Taking taylor expansion of (exp im) in re 1.400 * [taylor]: Taking taylor expansion of im in re 1.400 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.400 * [taylor]: Taking taylor expansion of (- im) in re 1.400 * [taylor]: Taking taylor expansion of im in re 1.401 * [taylor]: Taking taylor expansion of (exp (* 0.5 (+ (exp im) (exp (- im))))) in im 1.401 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 1.401 * [taylor]: Taking taylor expansion of 0.5 in im 1.401 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.401 * [taylor]: Taking taylor expansion of (exp im) in im 1.401 * [taylor]: Taking taylor expansion of im in im 1.401 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.401 * [taylor]: Taking taylor expansion of (- im) in im 1.401 * [taylor]: Taking taylor expansion of im in im 1.405 * [taylor]: Taking taylor expansion of 0 in im 1.412 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))))) in im 1.412 * [taylor]: Taking taylor expansion of -1 in im 1.412 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 1.412 * [taylor]: Taking taylor expansion of (exp (* 0.5 (+ (exp im) (exp (- im))))) in im 1.412 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 1.412 * [taylor]: Taking taylor expansion of 0.5 in im 1.412 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.412 * [taylor]: Taking taylor expansion of (exp im) in im 1.412 * [taylor]: Taking taylor expansion of im in im 1.412 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.412 * [taylor]: Taking taylor expansion of (- im) in im 1.412 * [taylor]: Taking taylor expansion of im in im 1.413 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 1.413 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.413 * [taylor]: Taking taylor expansion of 0.25 in im 1.413 * [taylor]: Taking taylor expansion of (exp im) in im 1.413 * [taylor]: Taking taylor expansion of im in im 1.413 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 1.413 * [taylor]: Taking taylor expansion of 0.25 in im 1.413 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.413 * [taylor]: Taking taylor expansion of (- im) in im 1.413 * [taylor]: Taking taylor expansion of im in im 1.425 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0 1.425 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.425 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.425 * [taylor]: Taking taylor expansion of 0.5 in im 1.425 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.425 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.425 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.425 * [taylor]: Taking taylor expansion of re in im 1.425 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.425 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.425 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.425 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.425 * [taylor]: Taking taylor expansion of im in im 1.426 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.426 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.426 * [taylor]: Taking taylor expansion of im in im 1.427 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 1.427 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.427 * [taylor]: Taking taylor expansion of 0.5 in re 1.427 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.427 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.427 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.427 * [taylor]: Taking taylor expansion of re in re 1.427 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.427 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.427 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.427 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.427 * [taylor]: Taking taylor expansion of im in re 1.428 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.428 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.428 * [taylor]: Taking taylor expansion of im in re 1.428 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 1.428 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.428 * [taylor]: Taking taylor expansion of 0.5 in re 1.428 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.428 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.428 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.428 * [taylor]: Taking taylor expansion of re in re 1.428 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.428 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.428 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.428 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.429 * [taylor]: Taking taylor expansion of im in re 1.429 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.429 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.429 * [taylor]: Taking taylor expansion of im in re 1.429 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.429 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.429 * [taylor]: Taking taylor expansion of 0.5 in im 1.429 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.429 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.429 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.429 * [taylor]: Taking taylor expansion of re in im 1.429 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.429 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.429 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.429 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.429 * [taylor]: Taking taylor expansion of im in im 1.430 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.430 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.430 * [taylor]: Taking taylor expansion of im in im 1.434 * [taylor]: Taking taylor expansion of 0 in im 1.441 * [taylor]: Taking taylor expansion of 0 in im 1.450 * [taylor]: Taking taylor expansion of 0 in im 1.451 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in (re im) around 0 1.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im 1.451 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.451 * [taylor]: Taking taylor expansion of 0.5 in im 1.451 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.451 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.451 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.451 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.451 * [taylor]: Taking taylor expansion of -1 in im 1.451 * [taylor]: Taking taylor expansion of im in im 1.451 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.451 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.451 * [taylor]: Taking taylor expansion of im in im 1.451 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.451 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.452 * [taylor]: Taking taylor expansion of -1 in im 1.452 * [taylor]: Taking taylor expansion of re in im 1.452 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re 1.452 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.452 * [taylor]: Taking taylor expansion of 0.5 in re 1.452 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.452 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.452 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.452 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.452 * [taylor]: Taking taylor expansion of -1 in re 1.452 * [taylor]: Taking taylor expansion of im in re 1.453 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.453 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.453 * [taylor]: Taking taylor expansion of im in re 1.453 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.453 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.453 * [taylor]: Taking taylor expansion of -1 in re 1.453 * [taylor]: Taking taylor expansion of re in re 1.453 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re 1.453 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.453 * [taylor]: Taking taylor expansion of 0.5 in re 1.453 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.453 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.453 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.453 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.453 * [taylor]: Taking taylor expansion of -1 in re 1.453 * [taylor]: Taking taylor expansion of im in re 1.454 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.454 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.454 * [taylor]: Taking taylor expansion of im in re 1.454 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.454 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.454 * [taylor]: Taking taylor expansion of -1 in re 1.454 * [taylor]: Taking taylor expansion of re in re 1.454 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im 1.454 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.454 * [taylor]: Taking taylor expansion of 0.5 in im 1.454 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.454 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.455 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.455 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.455 * [taylor]: Taking taylor expansion of -1 in im 1.455 * [taylor]: Taking taylor expansion of im in im 1.455 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.455 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.455 * [taylor]: Taking taylor expansion of im in im 1.455 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.455 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.455 * [taylor]: Taking taylor expansion of -1 in im 1.455 * [taylor]: Taking taylor expansion of re in im 1.459 * [taylor]: Taking taylor expansion of 0 in im 1.465 * [taylor]: Taking taylor expansion of 0 in im 1.479 * [taylor]: Taking taylor expansion of 0 in im 1.479 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.479 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 1.479 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 1.479 * [taylor]: Taking taylor expansion of 0.5 in im 1.479 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 1.479 * [taylor]: Taking taylor expansion of (cos re) in im 1.479 * [taylor]: Taking taylor expansion of re in im 1.479 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.479 * [taylor]: Taking taylor expansion of (exp im) in im 1.479 * [taylor]: Taking taylor expansion of im in im 1.479 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.479 * [taylor]: Taking taylor expansion of (- im) in im 1.479 * [taylor]: Taking taylor expansion of im in im 1.480 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.480 * [taylor]: Taking taylor expansion of 0.5 in re 1.480 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.480 * [taylor]: Taking taylor expansion of (cos re) in re 1.480 * [taylor]: Taking taylor expansion of re in re 1.480 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.480 * [taylor]: Taking taylor expansion of (exp im) in re 1.480 * [taylor]: Taking taylor expansion of im in re 1.480 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.480 * [taylor]: Taking taylor expansion of (- im) in re 1.480 * [taylor]: Taking taylor expansion of im in re 1.480 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.480 * [taylor]: Taking taylor expansion of 0.5 in re 1.480 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.480 * [taylor]: Taking taylor expansion of (cos re) in re 1.480 * [taylor]: Taking taylor expansion of re in re 1.480 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.480 * [taylor]: Taking taylor expansion of (exp im) in re 1.480 * [taylor]: Taking taylor expansion of im in re 1.480 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.480 * [taylor]: Taking taylor expansion of (- im) in re 1.480 * [taylor]: Taking taylor expansion of im in re 1.481 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 1.481 * [taylor]: Taking taylor expansion of 0.5 in im 1.481 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.481 * [taylor]: Taking taylor expansion of (exp im) in im 1.481 * [taylor]: Taking taylor expansion of im in im 1.481 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.481 * [taylor]: Taking taylor expansion of (- im) in im 1.481 * [taylor]: Taking taylor expansion of im in im 1.484 * [taylor]: Taking taylor expansion of 0 in im 1.489 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 1.489 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 1.489 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.489 * [taylor]: Taking taylor expansion of 0.25 in im 1.489 * [taylor]: Taking taylor expansion of (exp im) in im 1.489 * [taylor]: Taking taylor expansion of im in im 1.489 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 1.489 * [taylor]: Taking taylor expansion of 0.25 in im 1.489 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.489 * [taylor]: Taking taylor expansion of (- im) in im 1.489 * [taylor]: Taking taylor expansion of im in im 1.495 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 1.495 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.495 * [taylor]: Taking taylor expansion of 0.5 in im 1.495 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.495 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.495 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.495 * [taylor]: Taking taylor expansion of re in im 1.495 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.495 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.495 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.495 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.495 * [taylor]: Taking taylor expansion of im in im 1.496 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.496 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.496 * [taylor]: Taking taylor expansion of im in im 1.496 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.496 * [taylor]: Taking taylor expansion of 0.5 in re 1.496 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.496 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.496 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.496 * [taylor]: Taking taylor expansion of re in re 1.497 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.497 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.497 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.497 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.497 * [taylor]: Taking taylor expansion of im in re 1.497 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.497 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.497 * [taylor]: Taking taylor expansion of im in re 1.497 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.497 * [taylor]: Taking taylor expansion of 0.5 in re 1.497 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.497 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.497 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.497 * [taylor]: Taking taylor expansion of re in re 1.497 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.497 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.497 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.497 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.497 * [taylor]: Taking taylor expansion of im in re 1.497 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.497 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.498 * [taylor]: Taking taylor expansion of im in re 1.498 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.498 * [taylor]: Taking taylor expansion of 0.5 in im 1.498 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.498 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.498 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.498 * [taylor]: Taking taylor expansion of re in im 1.498 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.498 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.498 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.498 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.498 * [taylor]: Taking taylor expansion of im in im 1.499 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.499 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.499 * [taylor]: Taking taylor expansion of im in im 1.502 * [taylor]: Taking taylor expansion of 0 in im 1.508 * [taylor]: Taking taylor expansion of 0 in im 1.515 * [taylor]: Taking taylor expansion of 0 in im 1.516 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 1.516 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.516 * [taylor]: Taking taylor expansion of 0.5 in im 1.516 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.516 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.516 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.516 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.516 * [taylor]: Taking taylor expansion of -1 in im 1.516 * [taylor]: Taking taylor expansion of im in im 1.516 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.516 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.516 * [taylor]: Taking taylor expansion of im in im 1.517 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.517 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.517 * [taylor]: Taking taylor expansion of -1 in im 1.517 * [taylor]: Taking taylor expansion of re in im 1.517 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.517 * [taylor]: Taking taylor expansion of 0.5 in re 1.517 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.517 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.517 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.517 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.517 * [taylor]: Taking taylor expansion of -1 in re 1.517 * [taylor]: Taking taylor expansion of im in re 1.517 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.517 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.517 * [taylor]: Taking taylor expansion of im in re 1.517 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.517 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.517 * [taylor]: Taking taylor expansion of -1 in re 1.517 * [taylor]: Taking taylor expansion of re in re 1.517 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.517 * [taylor]: Taking taylor expansion of 0.5 in re 1.517 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.517 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.517 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.517 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.517 * [taylor]: Taking taylor expansion of -1 in re 1.517 * [taylor]: Taking taylor expansion of im in re 1.517 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.518 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.518 * [taylor]: Taking taylor expansion of im in re 1.518 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.518 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.518 * [taylor]: Taking taylor expansion of -1 in re 1.518 * [taylor]: Taking taylor expansion of re in re 1.518 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.518 * [taylor]: Taking taylor expansion of 0.5 in im 1.518 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.518 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.518 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.518 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.518 * [taylor]: Taking taylor expansion of -1 in im 1.518 * [taylor]: Taking taylor expansion of im in im 1.519 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.519 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.519 * [taylor]: Taking taylor expansion of im in im 1.519 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.519 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.519 * [taylor]: Taking taylor expansion of -1 in im 1.519 * [taylor]: Taking taylor expansion of re in im 1.522 * [taylor]: Taking taylor expansion of 0 in im 1.527 * [taylor]: Taking taylor expansion of 0 in im 1.534 * [taylor]: Taking taylor expansion of 0 in im 1.534 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.534 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 1.534 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.534 * [taylor]: Taking taylor expansion of (exp im) in im 1.534 * [taylor]: Taking taylor expansion of im in im 1.534 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.534 * [taylor]: Taking taylor expansion of (- im) in im 1.534 * [taylor]: Taking taylor expansion of im in im 1.535 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.535 * [taylor]: Taking taylor expansion of (exp im) in im 1.535 * [taylor]: Taking taylor expansion of im in im 1.535 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.535 * [taylor]: Taking taylor expansion of (- im) in im 1.535 * [taylor]: Taking taylor expansion of im in im 1.549 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 1.549 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.549 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.549 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.549 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.549 * [taylor]: Taking taylor expansion of im in im 1.549 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.549 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.549 * [taylor]: Taking taylor expansion of im in im 1.550 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.550 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.550 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.550 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.550 * [taylor]: Taking taylor expansion of im in im 1.550 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.550 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.550 * [taylor]: Taking taylor expansion of im in im 1.552 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.552 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.552 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.552 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.552 * [taylor]: Taking taylor expansion of -1 in im 1.552 * [taylor]: Taking taylor expansion of im in im 1.553 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.553 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.553 * [taylor]: Taking taylor expansion of im in im 1.553 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.553 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.553 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.553 * [taylor]: Taking taylor expansion of -1 in im 1.553 * [taylor]: Taking taylor expansion of im in im 1.553 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.553 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.553 * [taylor]: Taking taylor expansion of im in im 1.555 * * * [progress]: simplifying candidates 1.556 * [simplify]: Simplifying using # : (log (exp (* (* 0.5 (cos re)) (exp (- im))))) (log (exp (* (* 0.5 (cos re)) (exp im)))) (log (exp (* (exp (- im)) (* 0.5 (cos re))))) (log (exp (* (exp im) (* 0.5 (cos re))))) (log (* (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))) (log (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log 1) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (log (exp (* 0.5 (cos re)))) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (log (exp (* 0.5 (cos re)))) (log (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (exp (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (* (cbrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (cbrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))) (cbrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (* (* (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (sqrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (sqrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (exp (* 0.5 (cos re))) (exp (* (* 0.5 (cos re)) (exp (- im)))) (exp (* (* 0.5 (cos re)) (exp im))) (exp (* (exp (- im)) (* 0.5 (cos re)))) (exp (* (exp im) (* 0.5 (cos re)))) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (exp (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (* (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (* (* (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (sqrt (exp (* (* 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)))) (* (exp (exp (- im))) (exp (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (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)) (- (+ (* 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))) (- (+ (exp 1.0) (* 0.5 (* (exp 1.0) (pow im 2)))) (* 0.5 (* (exp 1.0) (pow re 2)))) (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) (exp (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re)))) (- (+ (* 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))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 1.566 * * [simplify]: iteration 0 : 310 enodes (cost 673 ) 1.572 * * [simplify]: iteration 1 : 1401 enodes (cost 566 ) 1.601 * * [simplify]: iteration 2 : 5001 enodes (cost 562 ) 1.604 * [simplify]: Simplified to: (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* 2 (log (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))) (log (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) 0 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* 0.5 (cos re)) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 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))))) (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)))) (exp (* 0.5 (cos re))) (pow (exp 0.5) (/ (cos re) (exp im))) (exp (* (exp im) (* 0.5 (cos re)))) (pow (exp 0.5) (/ (cos re) (exp im))) (exp (* (exp im) (* 0.5 (cos re)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (exp (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (* (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (pow (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) 3) (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (sqrt (exp (* (* 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))) (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (exp (+ (exp (- im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (pow (+ (exp (* -1 im)) (exp im)) 3) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)) (+ (- (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (- im)) (exp im)) (+ (exp (* -1 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 (cos re)) (+ (exp (- im)) (exp im))) (+ (* (* 0.5 (exp 1.0)) (- (pow im 2) (pow re 2))) (exp 1.0)) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (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 (cos re)) (+ (exp (- im)) (exp im))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 1.604 * * * [progress]: adding candidates to table 1.744 * [progress]: [Phase 3 of 3] Extracting. 1.744 * * [regime]: Finding splitpoints for: (# # # #) 1.745 * * * [regime-changes]: Trying 6 branch expressions: ((+ (exp (- im)) (exp im)) (cos re) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) im re) 1.745 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# # # #) 1.764 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# # #) 1.784 * * * * [regimes]: Trying to branch on (cos re) from (# # # #) 1.804 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# # # #) 1.827 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# # # #) 1.853 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# # #) 1.880 * * * * [regimes]: Trying to branch on im from (# # # #) 1.897 * * * * [regimes]: Trying to branch on re from (# # # #) 1.918 * * * [regime]: Found split indices: #