22.430 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.083 * * * [progress]: [2/2] Setting up program. 0.085 * [progress]: [Phase 2 of 3] Improving. 0.085 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.088 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.089 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.091 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.093 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.096 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.100 * * [simplify]: iteration 5 : 629 enodes (cost 7 ) 0.108 * * [simplify]: iteration 6 : 1415 enodes (cost 7 ) 0.119 * * [simplify]: iteration 7 : 2148 enodes (cost 7 ) 0.157 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.157 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.158 * * [progress]: iteration 1 / 4 0.158 * * * [progress]: picking best candidate 0.160 * * * * [pick]: Picked # 0.160 * * * [progress]: localizing error 0.175 * * * [progress]: generating rewritten candidates 0.175 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.202 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.212 * * * [progress]: generating series expansions 0.212 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.212 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.212 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.212 * [taylor]: Taking taylor expansion of 0.5 in im 0.212 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.212 * [taylor]: Taking taylor expansion of (cos re) in im 0.212 * [taylor]: Taking taylor expansion of re in im 0.212 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.212 * [taylor]: Taking taylor expansion of (exp im) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.212 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.212 * [taylor]: Taking taylor expansion of (- im) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.213 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.213 * [taylor]: Taking taylor expansion of 0.5 in re 0.213 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.213 * [taylor]: Taking taylor expansion of (cos re) in re 0.213 * [taylor]: Taking taylor expansion of re in re 0.213 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.213 * [taylor]: Taking taylor expansion of (exp im) in re 0.213 * [taylor]: Taking taylor expansion of im in re 0.213 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.213 * [taylor]: Taking taylor expansion of (- im) in re 0.213 * [taylor]: Taking taylor expansion of im in re 0.213 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.213 * [taylor]: Taking taylor expansion of 0.5 in re 0.213 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.213 * [taylor]: Taking taylor expansion of (cos re) in re 0.213 * [taylor]: Taking taylor expansion of re in re 0.213 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.213 * [taylor]: Taking taylor expansion of (exp im) in re 0.213 * [taylor]: Taking taylor expansion of im in re 0.214 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.214 * [taylor]: Taking taylor expansion of (- im) in re 0.214 * [taylor]: Taking taylor expansion of im in re 0.214 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.214 * [taylor]: Taking taylor expansion of 0.5 in im 0.214 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.214 * [taylor]: Taking taylor expansion of (exp im) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.214 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.214 * [taylor]: Taking taylor expansion of (- im) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.217 * [taylor]: Taking taylor expansion of 0 in im 0.223 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.223 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.223 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.223 * [taylor]: Taking taylor expansion of 0.25 in im 0.223 * [taylor]: Taking taylor expansion of (exp im) in im 0.223 * [taylor]: Taking taylor expansion of im in im 0.223 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.223 * [taylor]: Taking taylor expansion of 0.25 in im 0.223 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.223 * [taylor]: Taking taylor expansion of (- im) in im 0.223 * [taylor]: Taking taylor expansion of im in im 0.230 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.230 * [taylor]: Taking taylor expansion of 0.5 in im 0.230 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.230 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.230 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.230 * [taylor]: Taking taylor expansion of re in im 0.230 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.230 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.230 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.230 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.230 * [taylor]: Taking taylor expansion of im in im 0.231 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.231 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.231 * [taylor]: Taking taylor expansion of im in im 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.231 * [taylor]: Taking taylor expansion of 0.5 in re 0.231 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.231 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.231 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.231 * [taylor]: Taking taylor expansion of re in re 0.232 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.232 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.232 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.232 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.232 * [taylor]: Taking taylor expansion of im in re 0.232 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.232 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.232 * [taylor]: Taking taylor expansion of im in re 0.232 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.232 * [taylor]: Taking taylor expansion of 0.5 in re 0.232 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.232 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.232 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.232 * [taylor]: Taking taylor expansion of re in re 0.232 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.232 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.232 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.232 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.232 * [taylor]: Taking taylor expansion of im in re 0.233 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.233 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.233 * [taylor]: Taking taylor expansion of im in re 0.233 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.233 * [taylor]: Taking taylor expansion of 0.5 in im 0.233 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.233 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.233 * [taylor]: Taking taylor expansion of re in im 0.233 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.233 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.233 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.233 * [taylor]: Taking taylor expansion of im in im 0.234 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.234 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.234 * [taylor]: Taking taylor expansion of im in im 0.237 * [taylor]: Taking taylor expansion of 0 in im 0.244 * [taylor]: Taking taylor expansion of 0 in im 0.256 * [taylor]: Taking taylor expansion of 0 in im 0.257 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.257 * [taylor]: Taking taylor expansion of 0.5 in im 0.257 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.257 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.257 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.257 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.257 * [taylor]: Taking taylor expansion of -1 in im 0.257 * [taylor]: Taking taylor expansion of im in im 0.258 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.258 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.258 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.258 * [taylor]: Taking taylor expansion of -1 in im 0.258 * [taylor]: Taking taylor expansion of re in im 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.258 * [taylor]: Taking taylor expansion of 0.5 in re 0.258 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.258 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.258 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.258 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.258 * [taylor]: Taking taylor expansion of -1 in re 0.258 * [taylor]: Taking taylor expansion of im in re 0.258 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.258 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.258 * [taylor]: Taking taylor expansion of im in re 0.258 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.258 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.258 * [taylor]: Taking taylor expansion of -1 in re 0.258 * [taylor]: Taking taylor expansion of re in re 0.259 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.259 * [taylor]: Taking taylor expansion of 0.5 in re 0.259 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.259 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.259 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.259 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.259 * [taylor]: Taking taylor expansion of -1 in re 0.259 * [taylor]: Taking taylor expansion of im in re 0.259 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.259 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.259 * [taylor]: Taking taylor expansion of im in re 0.259 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.259 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.259 * [taylor]: Taking taylor expansion of -1 in re 0.259 * [taylor]: Taking taylor expansion of re in re 0.260 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.260 * [taylor]: Taking taylor expansion of 0.5 in im 0.260 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.260 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.260 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.260 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.260 * [taylor]: Taking taylor expansion of -1 in im 0.260 * [taylor]: Taking taylor expansion of im in im 0.260 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.260 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.260 * [taylor]: Taking taylor expansion of im in im 0.261 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.261 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.261 * [taylor]: Taking taylor expansion of -1 in im 0.261 * [taylor]: Taking taylor expansion of re in im 0.263 * [taylor]: Taking taylor expansion of 0 in im 0.269 * [taylor]: Taking taylor expansion of 0 in im 0.276 * [taylor]: Taking taylor expansion of 0 in im 0.276 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.276 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.276 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.276 * [taylor]: Taking taylor expansion of (exp im) in im 0.276 * [taylor]: Taking taylor expansion of im in im 0.276 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.276 * [taylor]: Taking taylor expansion of (- im) in im 0.276 * [taylor]: Taking taylor expansion of im in im 0.277 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.277 * [taylor]: Taking taylor expansion of (exp im) in im 0.277 * [taylor]: Taking taylor expansion of im in im 0.277 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.277 * [taylor]: Taking taylor expansion of (- im) in im 0.277 * [taylor]: Taking taylor expansion of im in im 0.292 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.292 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.292 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.292 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.292 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.293 * [taylor]: Taking taylor expansion of im in im 0.293 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.293 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.293 * [taylor]: Taking taylor expansion of im in im 0.293 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.293 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.293 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.293 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.293 * [taylor]: Taking taylor expansion of im in im 0.294 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.294 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.294 * [taylor]: Taking taylor expansion of im in im 0.296 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.296 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.296 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.296 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.296 * [taylor]: Taking taylor expansion of -1 in im 0.296 * [taylor]: Taking taylor expansion of im in im 0.297 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.297 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.297 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.297 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.297 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.297 * [taylor]: Taking taylor expansion of -1 in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.297 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.297 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.299 * * * [progress]: simplifying candidates 0.300 * [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)) 0.304 * * [simplify]: iteration 0 : 249 enodes (cost 347 ) 0.309 * * [simplify]: iteration 1 : 1229 enodes (cost 286 ) 0.335 * * [simplify]: iteration 2 : 5001 enodes (cost 284 ) 0.337 * [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)) 0.337 * * * [progress]: adding candidates to table 0.429 * * [progress]: iteration 2 / 4 0.429 * * * [progress]: picking best candidate 0.440 * * * * [pick]: Picked # 0.440 * * * [progress]: localizing error 0.449 * * * [progress]: generating rewritten candidates 0.449 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.458 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.467 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.472 * * * [progress]: generating series expansions 0.472 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.472 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 0.472 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.472 * [taylor]: Taking taylor expansion of 0.5 in im 0.472 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.472 * [taylor]: Taking taylor expansion of (exp im) in im 0.472 * [taylor]: Taking taylor expansion of im in im 0.472 * [taylor]: Taking taylor expansion of (cos re) in im 0.472 * [taylor]: Taking taylor expansion of re in im 0.472 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.473 * [taylor]: Taking taylor expansion of 0.5 in re 0.473 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.473 * [taylor]: Taking taylor expansion of (exp im) in re 0.473 * [taylor]: Taking taylor expansion of im in re 0.473 * [taylor]: Taking taylor expansion of (cos re) in re 0.473 * [taylor]: Taking taylor expansion of re in re 0.473 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.473 * [taylor]: Taking taylor expansion of 0.5 in re 0.473 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.473 * [taylor]: Taking taylor expansion of (exp im) in re 0.473 * [taylor]: Taking taylor expansion of im in re 0.473 * [taylor]: Taking taylor expansion of (cos re) in re 0.473 * [taylor]: Taking taylor expansion of re in re 0.473 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.473 * [taylor]: Taking taylor expansion of 0.5 in im 0.473 * [taylor]: Taking taylor expansion of (exp im) in im 0.473 * [taylor]: Taking taylor expansion of im in im 0.475 * [taylor]: Taking taylor expansion of 0 in im 0.478 * [taylor]: Taking taylor expansion of (- (* 0.25 (exp im))) in im 0.478 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.478 * [taylor]: Taking taylor expansion of 0.25 in im 0.478 * [taylor]: Taking taylor expansion of (exp im) in im 0.478 * [taylor]: Taking taylor expansion of im in im 0.480 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.480 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.480 * [taylor]: Taking taylor expansion of 0.5 in im 0.480 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.480 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.480 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.480 * [taylor]: Taking taylor expansion of re in im 0.480 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.480 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.480 * [taylor]: Taking taylor expansion of im in im 0.480 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.480 * [taylor]: Taking taylor expansion of 0.5 in re 0.480 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.480 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.480 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.480 * [taylor]: Taking taylor expansion of re in re 0.481 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.481 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.481 * [taylor]: Taking taylor expansion of im in re 0.481 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.481 * [taylor]: Taking taylor expansion of 0.5 in re 0.481 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.481 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.481 * [taylor]: Taking taylor expansion of re in re 0.481 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.481 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.481 * [taylor]: Taking taylor expansion of im in re 0.481 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.481 * [taylor]: Taking taylor expansion of 0.5 in im 0.481 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.481 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.481 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.481 * [taylor]: Taking taylor expansion of re in im 0.482 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.482 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.482 * [taylor]: Taking taylor expansion of im in im 0.487 * [taylor]: Taking taylor expansion of 0 in im 0.491 * [taylor]: Taking taylor expansion of 0 in im 0.497 * [taylor]: Taking taylor expansion of 0 in im 0.497 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 0.497 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.497 * [taylor]: Taking taylor expansion of 0.5 in im 0.497 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.497 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.497 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.497 * [taylor]: Taking taylor expansion of -1 in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.497 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.497 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.497 * [taylor]: Taking taylor expansion of -1 in im 0.497 * [taylor]: Taking taylor expansion of re in im 0.497 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.497 * [taylor]: Taking taylor expansion of 0.5 in re 0.497 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.497 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.497 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.497 * [taylor]: Taking taylor expansion of -1 in re 0.497 * [taylor]: Taking taylor expansion of im in re 0.498 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.498 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.498 * [taylor]: Taking taylor expansion of -1 in re 0.498 * [taylor]: Taking taylor expansion of re in re 0.498 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.498 * [taylor]: Taking taylor expansion of 0.5 in re 0.498 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.498 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.498 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.498 * [taylor]: Taking taylor expansion of -1 in re 0.498 * [taylor]: Taking taylor expansion of im in re 0.498 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.498 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.498 * [taylor]: Taking taylor expansion of -1 in re 0.498 * [taylor]: Taking taylor expansion of re in re 0.499 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.499 * [taylor]: Taking taylor expansion of 0.5 in im 0.499 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.499 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.499 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.499 * [taylor]: Taking taylor expansion of -1 in im 0.499 * [taylor]: Taking taylor expansion of im in im 0.499 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.499 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.499 * [taylor]: Taking taylor expansion of -1 in im 0.499 * [taylor]: Taking taylor expansion of re in im 0.501 * [taylor]: Taking taylor expansion of 0 in im 0.505 * [taylor]: Taking taylor expansion of 0 in im 0.510 * [taylor]: Taking taylor expansion of 0 in im 0.510 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.511 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 0.511 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.511 * [taylor]: Taking taylor expansion of 0.5 in im 0.511 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.511 * [taylor]: Taking taylor expansion of (exp im) in im 0.511 * [taylor]: Taking taylor expansion of im in im 0.511 * [taylor]: Taking taylor expansion of (cos re) in im 0.511 * [taylor]: Taking taylor expansion of re in im 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.511 * [taylor]: Taking taylor expansion of 0.5 in im 0.511 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.511 * [taylor]: Taking taylor expansion of (cos re) in im 0.511 * [taylor]: Taking taylor expansion of re in im 0.511 * [taylor]: Taking taylor expansion of (exp im) in im 0.511 * [taylor]: Taking taylor expansion of im in im 0.511 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.511 * [taylor]: Taking taylor expansion of 0.5 in re 0.511 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.511 * [taylor]: Taking taylor expansion of (exp im) in re 0.511 * [taylor]: Taking taylor expansion of im in re 0.511 * [taylor]: Taking taylor expansion of (cos re) in re 0.511 * [taylor]: Taking taylor expansion of re in re 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.511 * [taylor]: Taking taylor expansion of 0.5 in re 0.511 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.511 * [taylor]: Taking taylor expansion of (cos re) in re 0.511 * [taylor]: Taking taylor expansion of re in re 0.512 * [taylor]: Taking taylor expansion of (exp im) in re 0.512 * [taylor]: Taking taylor expansion of im in re 0.512 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.512 * [taylor]: Taking taylor expansion of 0.5 in re 0.512 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.512 * [taylor]: Taking taylor expansion of (exp im) in re 0.512 * [taylor]: Taking taylor expansion of im in re 0.512 * [taylor]: Taking taylor expansion of (cos re) in re 0.512 * [taylor]: Taking taylor expansion of re in re 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.512 * [taylor]: Taking taylor expansion of 0.5 in re 0.512 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.512 * [taylor]: Taking taylor expansion of (cos re) in re 0.512 * [taylor]: Taking taylor expansion of re in re 0.512 * [taylor]: Taking taylor expansion of (exp im) in re 0.512 * [taylor]: Taking taylor expansion of im in re 0.512 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 0.512 * [taylor]: Taking taylor expansion of 0.5 in im 0.512 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.512 * [taylor]: Taking taylor expansion of (exp im) in im 0.512 * [taylor]: Taking taylor expansion of im in im 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.512 * [taylor]: Taking taylor expansion of 0.5 in im 0.513 * [taylor]: Taking taylor expansion of (exp im) in im 0.513 * [taylor]: Taking taylor expansion of im in im 0.516 * [taylor]: Taking taylor expansion of 0 in im 0.524 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 0.524 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 0.524 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.524 * [taylor]: Taking taylor expansion of 0.25 in im 0.524 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.524 * [taylor]: Taking taylor expansion of (exp im) in im 0.524 * [taylor]: Taking taylor expansion of im in im 0.524 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.524 * [taylor]: Taking taylor expansion of 0.25 in im 0.524 * [taylor]: Taking taylor expansion of (exp im) in im 0.524 * [taylor]: Taking taylor expansion of im in im 0.531 * [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 0.531 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) 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 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 im 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 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 im in im 0.532 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.532 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.532 * [taylor]: Taking taylor expansion of 0.5 in re 0.532 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.532 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.532 * [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 im 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 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 im in re 0.533 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) 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 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 im 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 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 im in re 0.535 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.535 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.535 * [taylor]: Taking taylor expansion of 0.5 in im 0.535 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.535 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.535 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.535 * [taylor]: Taking taylor expansion of re in im 0.535 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.535 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.535 * [taylor]: Taking taylor expansion of im in im 0.535 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.535 * [taylor]: Taking taylor expansion of 0.5 in im 0.535 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.535 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.535 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.535 * [taylor]: Taking taylor expansion of re in im 0.535 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.535 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.535 * [taylor]: Taking taylor expansion of im in im 0.539 * [taylor]: Taking taylor expansion of 0 in im 0.547 * [taylor]: Taking taylor expansion of 0 in im 0.558 * [taylor]: Taking taylor expansion of 0 in im 0.559 * [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 0.559 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.559 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.559 * [taylor]: Taking taylor expansion of 0.5 in im 0.559 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.559 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.559 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.559 * [taylor]: Taking taylor expansion of -1 in im 0.559 * [taylor]: Taking taylor expansion of re in im 0.559 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.559 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.559 * [taylor]: Taking taylor expansion of -1 in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.560 * [taylor]: Taking taylor expansion of 0.5 in im 0.560 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.560 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.560 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.560 * [taylor]: Taking taylor expansion of -1 in im 0.560 * [taylor]: Taking taylor expansion of im in im 0.560 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.560 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.560 * [taylor]: Taking taylor expansion of -1 in im 0.560 * [taylor]: Taking taylor expansion of re in im 0.560 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.560 * [taylor]: Taking taylor expansion of 0.5 in re 0.560 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.560 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.560 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.561 * [taylor]: Taking taylor expansion of -1 in re 0.561 * [taylor]: Taking taylor expansion of re in re 0.561 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.561 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.561 * [taylor]: Taking taylor expansion of -1 in re 0.561 * [taylor]: Taking taylor expansion of im in re 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.561 * [taylor]: Taking taylor expansion of 0.5 in re 0.561 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.561 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.561 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.561 * [taylor]: Taking taylor expansion of -1 in re 0.561 * [taylor]: Taking taylor expansion of im in re 0.561 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.561 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.561 * [taylor]: Taking taylor expansion of -1 in re 0.561 * [taylor]: Taking taylor expansion of re in re 0.562 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.562 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.562 * [taylor]: Taking taylor expansion of 0.5 in re 0.562 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.562 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.562 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.562 * [taylor]: Taking taylor expansion of -1 in re 0.562 * [taylor]: Taking taylor expansion of re in re 0.562 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.562 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.562 * [taylor]: Taking taylor expansion of -1 in re 0.562 * [taylor]: Taking taylor expansion of im in re 0.562 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.562 * [taylor]: Taking taylor expansion of 0.5 in re 0.562 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.562 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.562 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.562 * [taylor]: Taking taylor expansion of -1 in re 0.562 * [taylor]: Taking taylor expansion of im in re 0.562 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.562 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.562 * [taylor]: Taking taylor expansion of -1 in re 0.562 * [taylor]: Taking taylor expansion of re in re 0.563 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.563 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.563 * [taylor]: Taking taylor expansion of 0.5 in im 0.563 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.563 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.563 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.563 * [taylor]: Taking taylor expansion of -1 in im 0.563 * [taylor]: Taking taylor expansion of re in im 0.563 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.563 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.563 * [taylor]: Taking taylor expansion of -1 in im 0.563 * [taylor]: Taking taylor expansion of im in im 0.564 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.564 * [taylor]: Taking taylor expansion of 0.5 in im 0.564 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.564 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.564 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.564 * [taylor]: Taking taylor expansion of -1 in im 0.564 * [taylor]: Taking taylor expansion of im in im 0.565 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.565 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.565 * [taylor]: Taking taylor expansion of -1 in im 0.565 * [taylor]: Taking taylor expansion of re in im 0.568 * [taylor]: Taking taylor expansion of 0 in im 0.581 * [taylor]: Taking taylor expansion of 0 in im 0.592 * [taylor]: Taking taylor expansion of 0 in im 0.592 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.592 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 0.592 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.592 * [taylor]: Taking taylor expansion of 0.5 in im 0.592 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.592 * [taylor]: Taking taylor expansion of (cos re) in im 0.592 * [taylor]: Taking taylor expansion of re in im 0.592 * [taylor]: Taking taylor expansion of (exp im) in im 0.592 * [taylor]: Taking taylor expansion of im in im 0.593 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.593 * [taylor]: Taking taylor expansion of 0.5 in re 0.593 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.593 * [taylor]: Taking taylor expansion of (cos re) in re 0.593 * [taylor]: Taking taylor expansion of re in re 0.593 * [taylor]: Taking taylor expansion of (exp im) in re 0.593 * [taylor]: Taking taylor expansion of im in re 0.593 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.593 * [taylor]: Taking taylor expansion of 0.5 in re 0.593 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.593 * [taylor]: Taking taylor expansion of (cos re) in re 0.593 * [taylor]: Taking taylor expansion of re in re 0.593 * [taylor]: Taking taylor expansion of (exp im) in re 0.593 * [taylor]: Taking taylor expansion of im in re 0.593 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.593 * [taylor]: Taking taylor expansion of 0.5 in im 0.593 * [taylor]: Taking taylor expansion of (exp im) in im 0.593 * [taylor]: Taking taylor expansion of im in im 0.595 * [taylor]: Taking taylor expansion of 0 in im 0.599 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 0.599 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.599 * [taylor]: Taking taylor expansion of 0.25 in im 0.599 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.599 * [taylor]: Taking taylor expansion of (exp im) in im 0.599 * [taylor]: Taking taylor expansion of im in im 0.601 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.601 * [taylor]: Taking taylor expansion of 0.5 in im 0.601 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.601 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.601 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.601 * [taylor]: Taking taylor expansion of re in im 0.601 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.601 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.601 * [taylor]: Taking taylor expansion of im in im 0.602 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.602 * [taylor]: Taking taylor expansion of 0.5 in re 0.602 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.602 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.602 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.602 * [taylor]: Taking taylor expansion of re in re 0.602 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.602 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.602 * [taylor]: Taking taylor expansion of im in re 0.603 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.603 * [taylor]: Taking taylor expansion of 0.5 in re 0.603 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.603 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.603 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.603 * [taylor]: Taking taylor expansion of re in re 0.603 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.603 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.603 * [taylor]: Taking taylor expansion of im in re 0.603 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.603 * [taylor]: Taking taylor expansion of 0.5 in im 0.603 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.603 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.603 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.603 * [taylor]: Taking taylor expansion of re in im 0.603 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.603 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.603 * [taylor]: Taking taylor expansion of im in im 0.605 * [taylor]: Taking taylor expansion of 0 in im 0.609 * [taylor]: Taking taylor expansion of 0 in im 0.614 * [taylor]: Taking taylor expansion of 0 in im 0.615 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 0.615 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.615 * [taylor]: Taking taylor expansion of 0.5 in im 0.615 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.615 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.615 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.615 * [taylor]: Taking taylor expansion of -1 in im 0.615 * [taylor]: Taking taylor expansion of re in im 0.615 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.615 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.615 * [taylor]: Taking taylor expansion of -1 in im 0.615 * [taylor]: Taking taylor expansion of im in im 0.616 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.616 * [taylor]: Taking taylor expansion of 0.5 in re 0.616 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.616 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.616 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.616 * [taylor]: Taking taylor expansion of -1 in re 0.616 * [taylor]: Taking taylor expansion of re in re 0.616 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.616 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.616 * [taylor]: Taking taylor expansion of -1 in re 0.616 * [taylor]: Taking taylor expansion of im in re 0.616 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.616 * [taylor]: Taking taylor expansion of 0.5 in re 0.616 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.616 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.616 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.616 * [taylor]: Taking taylor expansion of -1 in re 0.616 * [taylor]: Taking taylor expansion of re in re 0.617 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.617 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.617 * [taylor]: Taking taylor expansion of -1 in re 0.617 * [taylor]: Taking taylor expansion of im in re 0.617 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.617 * [taylor]: Taking taylor expansion of 0.5 in im 0.617 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.617 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.617 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.617 * [taylor]: Taking taylor expansion of -1 in im 0.617 * [taylor]: Taking taylor expansion of re in im 0.617 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.617 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.617 * [taylor]: Taking taylor expansion of -1 in im 0.617 * [taylor]: Taking taylor expansion of im in im 0.619 * [taylor]: Taking taylor expansion of 0 in im 0.623 * [taylor]: Taking taylor expansion of 0 in im 0.628 * [taylor]: Taking taylor expansion of 0 in im 0.628 * * * [progress]: simplifying candidates 0.629 * [simplify]: Simplifying using # : (* (* 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)) (* (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)) (- (+ (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)) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) 0.633 * * [simplify]: iteration 0 : 284 enodes (cost 450 ) 0.640 * * [simplify]: iteration 1 : 1619 enodes (cost 391 ) 0.674 * * [simplify]: iteration 2 : 5002 enodes (cost 384 ) 0.676 * [simplify]: Simplified to: (* 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)) (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)) (- (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)) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (cos re) (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))) (* (cos re) (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) 0.676 * * * [progress]: adding candidates to table 0.809 * * [progress]: iteration 3 / 4 0.809 * * * [progress]: picking best candidate 0.813 * * * * [pick]: Picked # 0.813 * * * [progress]: localizing error 0.824 * * * [progress]: generating rewritten candidates 0.824 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.864 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.875 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.885 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.891 * * * [progress]: generating series expansions 0.891 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.892 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 0.892 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.892 * [taylor]: Taking taylor expansion of 0.5 in im 0.892 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.892 * [taylor]: Taking taylor expansion of (exp im) in im 0.892 * [taylor]: Taking taylor expansion of im in im 0.892 * [taylor]: Taking taylor expansion of (cos re) in im 0.892 * [taylor]: Taking taylor expansion of re in im 0.892 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.892 * [taylor]: Taking taylor expansion of 0.5 in re 0.892 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.892 * [taylor]: Taking taylor expansion of (exp im) in re 0.892 * [taylor]: Taking taylor expansion of im in re 0.892 * [taylor]: Taking taylor expansion of (cos re) in re 0.892 * [taylor]: Taking taylor expansion of re in re 0.892 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.892 * [taylor]: Taking taylor expansion of 0.5 in re 0.892 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.892 * [taylor]: Taking taylor expansion of (exp im) in re 0.892 * [taylor]: Taking taylor expansion of im in re 0.892 * [taylor]: Taking taylor expansion of (cos re) in re 0.892 * [taylor]: Taking taylor expansion of re in re 0.892 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.892 * [taylor]: Taking taylor expansion of 0.5 in im 0.892 * [taylor]: Taking taylor expansion of (exp im) in im 0.892 * [taylor]: Taking taylor expansion of im in im 0.894 * [taylor]: Taking taylor expansion of 0 in im 0.898 * [taylor]: Taking taylor expansion of (- (* 0.25 (exp im))) in im 0.898 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.898 * [taylor]: Taking taylor expansion of 0.25 in im 0.898 * [taylor]: Taking taylor expansion of (exp im) in im 0.898 * [taylor]: Taking taylor expansion of im in im 0.900 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.900 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.900 * [taylor]: Taking taylor expansion of 0.5 in im 0.900 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.900 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.900 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.900 * [taylor]: Taking taylor expansion of re in im 0.900 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.900 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.900 * [taylor]: Taking taylor expansion of im in im 0.900 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.900 * [taylor]: Taking taylor expansion of 0.5 in re 0.900 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.900 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.900 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.900 * [taylor]: Taking taylor expansion of re in re 0.901 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.901 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.901 * [taylor]: Taking taylor expansion of im in re 0.901 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.901 * [taylor]: Taking taylor expansion of 0.5 in re 0.901 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.901 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.901 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.901 * [taylor]: Taking taylor expansion of re in re 0.901 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.901 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.901 * [taylor]: Taking taylor expansion of im in re 0.901 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.902 * [taylor]: Taking taylor expansion of 0.5 in im 0.902 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.902 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.902 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.902 * [taylor]: Taking taylor expansion of re in im 0.902 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.902 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.902 * [taylor]: Taking taylor expansion of im in im 0.904 * [taylor]: Taking taylor expansion of 0 in im 0.908 * [taylor]: Taking taylor expansion of 0 in im 0.913 * [taylor]: Taking taylor expansion of 0 in im 0.913 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 0.913 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.914 * [taylor]: Taking taylor expansion of 0.5 in im 0.914 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.914 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.914 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.914 * [taylor]: Taking taylor expansion of -1 in im 0.914 * [taylor]: Taking taylor expansion of im in im 0.914 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.914 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.914 * [taylor]: Taking taylor expansion of -1 in im 0.914 * [taylor]: Taking taylor expansion of re in im 0.914 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.914 * [taylor]: Taking taylor expansion of 0.5 in re 0.914 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) 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 in re 0.914 * [taylor]: Taking taylor expansion of 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 -1 in re 0.914 * [taylor]: Taking taylor expansion of re in re 0.915 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.915 * [taylor]: Taking taylor expansion of 0.5 in re 0.915 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.915 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.915 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.915 * [taylor]: Taking taylor expansion of -1 in re 0.915 * [taylor]: Taking taylor expansion of im in re 0.915 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.915 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.915 * [taylor]: Taking taylor expansion of -1 in re 0.915 * [taylor]: Taking taylor expansion of re in re 0.916 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.916 * [taylor]: Taking taylor expansion of 0.5 in im 0.916 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.916 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.916 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.916 * [taylor]: Taking taylor expansion of -1 in im 0.916 * [taylor]: Taking taylor expansion of im in im 0.916 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.916 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.916 * [taylor]: Taking taylor expansion of -1 in im 0.916 * [taylor]: Taking taylor expansion of re in im 0.918 * [taylor]: Taking taylor expansion of 0 in im 0.922 * [taylor]: Taking taylor expansion of 0 in im 0.927 * [taylor]: Taking taylor expansion of 0 in im 0.928 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.928 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 0.928 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 0.928 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.928 * [taylor]: Taking taylor expansion of 0.5 in im 0.928 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.928 * [taylor]: Taking taylor expansion of (exp im) in im 0.928 * [taylor]: Taking taylor expansion of im in im 0.928 * [taylor]: Taking taylor expansion of (cos re) in im 0.928 * [taylor]: Taking taylor expansion of re in im 0.928 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.928 * [taylor]: Taking taylor expansion of 0.5 in im 0.928 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.928 * [taylor]: Taking taylor expansion of (cos re) in im 0.928 * [taylor]: Taking taylor expansion of re in im 0.928 * [taylor]: Taking taylor expansion of (exp im) in im 0.928 * [taylor]: Taking taylor expansion of im in im 0.929 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.929 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.929 * [taylor]: Taking taylor expansion of 0.5 in re 0.929 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.929 * [taylor]: Taking taylor expansion of (exp im) in re 0.929 * [taylor]: Taking taylor expansion of im in re 0.929 * [taylor]: Taking taylor expansion of (cos re) in re 0.929 * [taylor]: Taking taylor expansion of re in re 0.929 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.929 * [taylor]: Taking taylor expansion of 0.5 in re 0.929 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.929 * [taylor]: Taking taylor expansion of (cos re) in re 0.929 * [taylor]: Taking taylor expansion of re in re 0.929 * [taylor]: Taking taylor expansion of (exp im) in re 0.929 * [taylor]: Taking taylor expansion of im in re 0.929 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.929 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.929 * [taylor]: Taking taylor expansion of 0.5 in re 0.929 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.929 * [taylor]: Taking taylor expansion of (exp im) in re 0.929 * [taylor]: Taking taylor expansion of im in re 0.929 * [taylor]: Taking taylor expansion of (cos re) in re 0.929 * [taylor]: Taking taylor expansion of re in re 0.929 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.929 * [taylor]: Taking taylor expansion of 0.5 in re 0.929 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.929 * [taylor]: Taking taylor expansion of (cos re) in re 0.929 * [taylor]: Taking taylor expansion of re in re 0.929 * [taylor]: Taking taylor expansion of (exp im) in re 0.929 * [taylor]: Taking taylor expansion of im in re 0.930 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 0.930 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 0.930 * [taylor]: Taking taylor expansion of 0.5 in im 0.930 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.930 * [taylor]: Taking taylor expansion of (exp im) in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.930 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.930 * [taylor]: Taking taylor expansion of 0.5 in im 0.930 * [taylor]: Taking taylor expansion of (exp im) in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.934 * [taylor]: Taking taylor expansion of 0 in im 0.947 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 0.947 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 0.947 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.947 * [taylor]: Taking taylor expansion of 0.25 in im 0.947 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.947 * [taylor]: Taking taylor expansion of (exp im) in im 0.947 * [taylor]: Taking taylor expansion of im in im 0.947 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.947 * [taylor]: Taking taylor expansion of 0.25 in im 0.947 * [taylor]: Taking taylor expansion of (exp im) in im 0.947 * [taylor]: Taking taylor expansion of im in im 0.954 * [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 0.954 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.954 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.954 * [taylor]: Taking taylor expansion of 0.5 in im 0.954 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.954 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.954 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.954 * [taylor]: Taking taylor expansion of re in im 0.955 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.955 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.955 * [taylor]: Taking taylor expansion of im in im 0.955 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.955 * [taylor]: Taking taylor expansion of 0.5 in im 0.955 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.955 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.955 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.955 * [taylor]: Taking taylor expansion of re in im 0.955 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.955 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.955 * [taylor]: Taking taylor expansion of im in im 0.956 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.956 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.956 * [taylor]: Taking taylor expansion of 0.5 in re 0.956 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.956 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.956 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.956 * [taylor]: Taking taylor expansion of re in re 0.956 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.956 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.956 * [taylor]: Taking taylor expansion of im in re 0.956 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.956 * [taylor]: Taking taylor expansion of 0.5 in re 0.956 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.956 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.956 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.956 * [taylor]: Taking taylor expansion of re in re 0.957 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.957 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.957 * [taylor]: Taking taylor expansion of im in re 0.957 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.957 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.957 * [taylor]: Taking taylor expansion of 0.5 in re 0.957 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.957 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.957 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.957 * [taylor]: Taking taylor expansion of re in re 0.957 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.957 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.957 * [taylor]: Taking taylor expansion of im in re 0.957 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.957 * [taylor]: Taking taylor expansion of 0.5 in re 0.957 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.957 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.958 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.958 * [taylor]: Taking taylor expansion of re in re 0.958 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.958 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.958 * [taylor]: Taking taylor expansion of im in re 0.958 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.958 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.958 * [taylor]: Taking taylor expansion of 0.5 in im 0.958 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.959 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.959 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.959 * [taylor]: Taking taylor expansion of re in im 0.959 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.959 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.959 * [taylor]: Taking taylor expansion of im in im 0.959 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.959 * [taylor]: Taking taylor expansion of 0.5 in im 0.959 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.959 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.959 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.959 * [taylor]: Taking taylor expansion of re in im 0.959 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.959 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.959 * [taylor]: Taking taylor expansion of im in im 0.963 * [taylor]: Taking taylor expansion of 0 in im 0.971 * [taylor]: Taking taylor expansion of 0 in im 0.982 * [taylor]: Taking taylor expansion of 0 in im 0.983 * [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 0.983 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.983 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.983 * [taylor]: Taking taylor expansion of 0.5 in im 0.983 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.983 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.983 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.983 * [taylor]: Taking taylor expansion of -1 in im 0.983 * [taylor]: Taking taylor expansion of re in im 0.983 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.983 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.983 * [taylor]: Taking taylor expansion of -1 in im 0.983 * [taylor]: Taking taylor expansion of im in im 0.984 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.984 * [taylor]: Taking taylor expansion of 0.5 in im 0.984 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.984 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.984 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.984 * [taylor]: Taking taylor expansion of -1 in im 0.984 * [taylor]: Taking taylor expansion of im in im 0.985 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.985 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.985 * [taylor]: Taking taylor expansion of -1 in im 0.985 * [taylor]: Taking taylor expansion of re in im 0.985 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.985 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.985 * [taylor]: Taking taylor expansion of 0.5 in re 0.985 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.985 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.985 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.985 * [taylor]: Taking taylor expansion of -1 in re 0.985 * [taylor]: Taking taylor expansion of re in re 0.985 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.985 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.985 * [taylor]: Taking taylor expansion of -1 in re 0.985 * [taylor]: Taking taylor expansion of im in re 0.985 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.985 * [taylor]: Taking taylor expansion of 0.5 in re 0.985 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.985 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.985 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.985 * [taylor]: Taking taylor expansion of -1 in re 0.985 * [taylor]: Taking taylor expansion of im in re 0.986 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.986 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.986 * [taylor]: Taking taylor expansion of -1 in re 0.986 * [taylor]: Taking taylor expansion of re in re 0.986 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.986 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.986 * [taylor]: Taking taylor expansion of 0.5 in re 0.986 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.986 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.986 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.986 * [taylor]: Taking taylor expansion of -1 in re 0.986 * [taylor]: Taking taylor expansion of re in re 0.986 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.986 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.986 * [taylor]: Taking taylor expansion of -1 in re 0.986 * [taylor]: Taking taylor expansion of im in re 0.987 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.987 * [taylor]: Taking taylor expansion of 0.5 in re 0.987 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.987 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.987 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.987 * [taylor]: Taking taylor expansion of -1 in re 0.987 * [taylor]: Taking taylor expansion of im in re 0.987 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.987 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.987 * [taylor]: Taking taylor expansion of -1 in re 0.987 * [taylor]: Taking taylor expansion of re in re 0.988 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.988 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.988 * [taylor]: Taking taylor expansion of 0.5 in im 0.988 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.988 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.988 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.988 * [taylor]: Taking taylor expansion of -1 in im 0.988 * [taylor]: Taking taylor expansion of re in im 0.988 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.988 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.988 * [taylor]: Taking taylor expansion of -1 in im 0.988 * [taylor]: Taking taylor expansion of im in im 0.989 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.989 * [taylor]: Taking taylor expansion of 0.5 in im 0.989 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.989 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.989 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.989 * [taylor]: Taking taylor expansion of -1 in im 0.989 * [taylor]: Taking taylor expansion of im in im 0.989 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.989 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.989 * [taylor]: Taking taylor expansion of -1 in im 0.989 * [taylor]: Taking taylor expansion of re in im 0.992 * [taylor]: Taking taylor expansion of 0 in im 1.001 * [taylor]: Taking taylor expansion of 0 in im 1.012 * [taylor]: Taking taylor expansion of 0 in im 1.012 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.012 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (exp im)) (cos re))) in (re im) around 0 1.012 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp im)) (cos re))) in im 1.012 * [taylor]: Taking taylor expansion of 0.5 in im 1.012 * [taylor]: Taking taylor expansion of (* (sqrt (exp im)) (cos re)) in im 1.012 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in im 1.012 * [taylor]: Taking taylor expansion of (exp im) in im 1.012 * [taylor]: Taking taylor expansion of im in im 1.014 * [taylor]: Taking taylor expansion of (cos re) in im 1.014 * [taylor]: Taking taylor expansion of re in im 1.014 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp im)) (cos re))) in re 1.014 * [taylor]: Taking taylor expansion of 0.5 in re 1.014 * [taylor]: Taking taylor expansion of (* (sqrt (exp im)) (cos re)) in re 1.014 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in re 1.014 * [taylor]: Taking taylor expansion of (exp im) in re 1.014 * [taylor]: Taking taylor expansion of im in re 1.014 * [taylor]: Taking taylor expansion of (cos re) in re 1.014 * [taylor]: Taking taylor expansion of re in re 1.014 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp im)) (cos re))) in re 1.014 * [taylor]: Taking taylor expansion of 0.5 in re 1.015 * [taylor]: Taking taylor expansion of (* (sqrt (exp im)) (cos re)) in re 1.015 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in re 1.015 * [taylor]: Taking taylor expansion of (exp im) in re 1.015 * [taylor]: Taking taylor expansion of im in re 1.015 * [taylor]: Taking taylor expansion of (cos re) in re 1.015 * [taylor]: Taking taylor expansion of re in re 1.015 * [taylor]: Taking taylor expansion of (* 0.5 (sqrt (exp im))) in im 1.015 * [taylor]: Taking taylor expansion of 0.5 in im 1.015 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in im 1.015 * [taylor]: Taking taylor expansion of (exp im) in im 1.015 * [taylor]: Taking taylor expansion of im in im 1.018 * [taylor]: Taking taylor expansion of 0 in im 1.021 * [taylor]: Taking taylor expansion of (- (* 0.25 (sqrt (exp im)))) in im 1.021 * [taylor]: Taking taylor expansion of (* 0.25 (sqrt (exp im))) in im 1.021 * [taylor]: Taking taylor expansion of 0.25 in im 1.021 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in im 1.021 * [taylor]: Taking taylor expansion of (exp im) in im 1.021 * [taylor]: Taking taylor expansion of im in im 1.024 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in (re im) around 0 1.024 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in im 1.024 * [taylor]: Taking taylor expansion of 0.5 in im 1.024 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (exp (/ 1 im)))) in im 1.024 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.024 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.024 * [taylor]: Taking taylor expansion of re in im 1.024 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 1.024 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.024 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.024 * [taylor]: Taking taylor expansion of im in im 1.024 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in re 1.025 * [taylor]: Taking taylor expansion of 0.5 in re 1.025 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (exp (/ 1 im)))) in re 1.025 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.025 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.025 * [taylor]: Taking taylor expansion of re in re 1.025 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in re 1.025 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.025 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.025 * [taylor]: Taking taylor expansion of im in re 1.026 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in re 1.026 * [taylor]: Taking taylor expansion of 0.5 in re 1.026 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (exp (/ 1 im)))) in re 1.026 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.026 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.026 * [taylor]: Taking taylor expansion of re in re 1.026 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in re 1.026 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.026 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.026 * [taylor]: Taking taylor expansion of im in re 1.027 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in im 1.027 * [taylor]: Taking taylor expansion of 0.5 in im 1.027 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (exp (/ 1 im)))) in im 1.027 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.027 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.027 * [taylor]: Taking taylor expansion of re in im 1.027 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 1.027 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.027 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.027 * [taylor]: Taking taylor expansion of im in im 1.029 * [taylor]: Taking taylor expansion of 0 in im 1.039 * [taylor]: Taking taylor expansion of 0 in im 1.046 * [taylor]: Taking taylor expansion of 0 in im 1.046 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in (re im) around 0 1.046 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in im 1.046 * [taylor]: Taking taylor expansion of 0.5 in im 1.046 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 im))) (cos (/ -1 re))) in im 1.046 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in im 1.046 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.046 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.046 * [taylor]: Taking taylor expansion of -1 in im 1.046 * [taylor]: Taking taylor expansion of im in im 1.047 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.047 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.047 * [taylor]: Taking taylor expansion of -1 in im 1.047 * [taylor]: Taking taylor expansion of re in im 1.047 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in re 1.047 * [taylor]: Taking taylor expansion of 0.5 in re 1.047 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 im))) (cos (/ -1 re))) in re 1.047 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in re 1.047 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.047 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.047 * [taylor]: Taking taylor expansion of -1 in re 1.047 * [taylor]: Taking taylor expansion of im in re 1.048 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.048 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.048 * [taylor]: Taking taylor expansion of -1 in re 1.048 * [taylor]: Taking taylor expansion of re in re 1.048 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in re 1.048 * [taylor]: Taking taylor expansion of 0.5 in re 1.048 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 im))) (cos (/ -1 re))) in re 1.048 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in re 1.048 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.048 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.048 * [taylor]: Taking taylor expansion of -1 in re 1.048 * [taylor]: Taking taylor expansion of im in re 1.049 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.049 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.049 * [taylor]: Taking taylor expansion of -1 in re 1.049 * [taylor]: Taking taylor expansion of re in re 1.050 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in im 1.050 * [taylor]: Taking taylor expansion of 0.5 in im 1.050 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 im))) (cos (/ -1 re))) in im 1.050 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in im 1.050 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.050 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.050 * [taylor]: Taking taylor expansion of -1 in im 1.050 * [taylor]: Taking taylor expansion of im in im 1.050 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.050 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.050 * [taylor]: Taking taylor expansion of -1 in im 1.050 * [taylor]: Taking taylor expansion of re in im 1.051 * [taylor]: Taking taylor expansion of 0 in im 1.056 * [taylor]: Taking taylor expansion of 0 in im 1.062 * [taylor]: Taking taylor expansion of 0 in im 1.063 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.063 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 1.063 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 1.063 * [taylor]: Taking taylor expansion of 0.5 in im 1.063 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 1.063 * [taylor]: Taking taylor expansion of (cos re) in im 1.063 * [taylor]: Taking taylor expansion of re in im 1.063 * [taylor]: Taking taylor expansion of (exp im) in im 1.063 * [taylor]: Taking taylor expansion of im in im 1.063 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 1.063 * [taylor]: Taking taylor expansion of 0.5 in re 1.063 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 1.063 * [taylor]: Taking taylor expansion of (cos re) in re 1.063 * [taylor]: Taking taylor expansion of re in re 1.063 * [taylor]: Taking taylor expansion of (exp im) in re 1.064 * [taylor]: Taking taylor expansion of im in re 1.064 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 1.064 * [taylor]: Taking taylor expansion of 0.5 in re 1.064 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 1.064 * [taylor]: Taking taylor expansion of (cos re) in re 1.064 * [taylor]: Taking taylor expansion of re in re 1.064 * [taylor]: Taking taylor expansion of (exp im) in re 1.064 * [taylor]: Taking taylor expansion of im in re 1.064 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 1.064 * [taylor]: Taking taylor expansion of 0.5 in im 1.064 * [taylor]: Taking taylor expansion of (exp im) in im 1.064 * [taylor]: Taking taylor expansion of im in im 1.065 * [taylor]: Taking taylor expansion of 0 in im 1.070 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 1.070 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 1.070 * [taylor]: Taking taylor expansion of 0.25 in im 1.070 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 1.070 * [taylor]: Taking taylor expansion of (exp im) in im 1.070 * [taylor]: Taking taylor expansion of im in im 1.072 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 1.072 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.072 * [taylor]: Taking taylor expansion of 0.5 in im 1.072 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.072 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.072 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.072 * [taylor]: Taking taylor expansion of re in im 1.072 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.072 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.072 * [taylor]: Taking taylor expansion of im in im 1.073 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.073 * [taylor]: Taking taylor expansion of 0.5 in re 1.073 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.073 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.073 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.073 * [taylor]: Taking taylor expansion of re in re 1.073 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.073 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.073 * [taylor]: Taking taylor expansion of im in re 1.073 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.073 * [taylor]: Taking taylor expansion of 0.5 in re 1.073 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.073 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.073 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.073 * [taylor]: Taking taylor expansion of re in re 1.073 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.074 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.074 * [taylor]: Taking taylor expansion of im in re 1.074 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.074 * [taylor]: Taking taylor expansion of 0.5 in im 1.074 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.074 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.074 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.074 * [taylor]: Taking taylor expansion of re in im 1.074 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.074 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.074 * [taylor]: Taking taylor expansion of im in im 1.076 * [taylor]: Taking taylor expansion of 0 in im 1.080 * [taylor]: Taking taylor expansion of 0 in im 1.085 * [taylor]: Taking taylor expansion of 0 in im 1.085 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 1.085 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 1.085 * [taylor]: Taking taylor expansion of 0.5 in im 1.085 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.085 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.085 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.085 * [taylor]: Taking taylor expansion of -1 in im 1.085 * [taylor]: Taking taylor expansion of re in im 1.086 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.086 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.086 * [taylor]: Taking taylor expansion of -1 in im 1.086 * [taylor]: Taking taylor expansion of im in im 1.086 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 1.086 * [taylor]: Taking taylor expansion of 0.5 in re 1.086 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.086 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.086 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.086 * [taylor]: Taking taylor expansion of -1 in re 1.086 * [taylor]: Taking taylor expansion of re in re 1.087 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.087 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.087 * [taylor]: Taking taylor expansion of -1 in re 1.087 * [taylor]: Taking taylor expansion of im in re 1.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 1.087 * [taylor]: Taking taylor expansion of 0.5 in re 1.087 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.087 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.087 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.087 * [taylor]: Taking taylor expansion of -1 in re 1.087 * [taylor]: Taking taylor expansion of re in re 1.087 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.087 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.087 * [taylor]: Taking taylor expansion of -1 in re 1.087 * [taylor]: Taking taylor expansion of im in re 1.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 1.088 * [taylor]: Taking taylor expansion of 0.5 in im 1.088 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.088 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.088 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.088 * [taylor]: Taking taylor expansion of -1 in im 1.088 * [taylor]: Taking taylor expansion of re in im 1.088 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.088 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.088 * [taylor]: Taking taylor expansion of -1 in im 1.088 * [taylor]: Taking taylor expansion of im in im 1.090 * [taylor]: Taking taylor expansion of 0 in im 1.094 * [taylor]: Taking taylor expansion of 0 in im 1.099 * [taylor]: Taking taylor expansion of 0 in im 1.100 * * * [progress]: simplifying candidates 1.101 * [simplify]: Simplifying using # : (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (+ (+ (+ (log 0.5) (log (cos re))) (log (sqrt (exp im)))) (log (sqrt (exp im)))) (+ (+ (log (* 0.5 (cos re))) (log (sqrt (exp im)))) (log (sqrt (exp im)))) (+ (log (* (* 0.5 (cos re)) (sqrt (exp im)))) (log (sqrt (exp im)))) (log (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (exp (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (* (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* 0.5 (cos re)) (sqrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (cbrt (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (cbrt (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (cbrt (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (sqrt (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (sqrt (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt 1)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) 1) (* (sqrt (exp im)) (sqrt (exp im))) (* (exp (/ (* 0.5 (cos re)) (exp im))) (exp (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (log (+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (exp (+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (* (* (+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) 3)) (+ (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (- (* (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (* (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))))) (- (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (- (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* 0.5 (cos re)) (sqrt (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (sqrt (exp im)))) (+ (log (* 0.5 (cos re))) (log (sqrt (exp im)))) (log (* (* 0.5 (cos re)) (sqrt (exp im)))) (exp (* (* 0.5 (cos re)) (sqrt (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (* (* 0.5 (cos re)) (sqrt (exp im))))) (cbrt (* (* 0.5 (cos re)) (sqrt (exp im)))) (* (* (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* 0.5 (cos re)) (sqrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (* (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (* (* 0.5 (cos re)) (sqrt (exp im)))) (* (* 0.5 (cos re)) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* (* 0.5 (cos re)) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (* (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (* (* 0.5 (cos re)) (sqrt 1)) (* (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (* (* 0.5 (cos re)) 1) (* (cos re) (sqrt (exp im))) (- (+ (log 0.5) (log (cos re))) im) (- (log (* 0.5 (cos re))) im) (log (/ (* 0.5 (cos re)) (exp im))) (exp (/ (* 0.5 (cos re)) (exp im))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) 1) (/ (exp im) (cos re)) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (- (+ (* 0.25 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (sqrt (exp im)) (cos re))) (* 0.5 (* (sqrt (exp im)) (cos re))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) 1.106 * * [simplify]: iteration 0 : 381 enodes (cost 777 ) 1.115 * * [simplify]: iteration 1 : 2272 enodes (cost 629 ) 1.165 * * [simplify]: iteration 2 : 5001 enodes (cost 617 ) 1.168 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (pow (exp (* 0.5 (cos re))) (exp im)) (pow (* (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3) (* (cbrt (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (cbrt (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (cbrt (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (pow (* (* 0.5 (cos re)) (exp im)) 3) (sqrt (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (sqrt (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* (* 0.5 (cos re)) (* (sqrt (exp im)) (fabs (cbrt (exp im))))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (exp im) (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)) (sqrt (exp im))) (sqrt (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (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)) (sqrt (exp im))) (sqrt (exp im))))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) 3)) (- (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (exp (+ im im))) (- (/ (* (* 0.5 (cos re)) (* (* 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) (exp im))) (* (* 0.5 (cos re)) (exp im)))) (- (* 0.5 (/ (cos re) (exp im))) (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* 0.5 (cos re)) (sqrt (exp im))) (log (* (* 0.5 (cos re)) (sqrt (exp im)))) (log (* (* 0.5 (cos re)) (sqrt (exp im)))) (log (* (* 0.5 (cos re)) (sqrt (exp im)))) (exp (* (* 0.5 (cos re)) (sqrt (exp im)))) (pow (* (* 0.5 (cos re)) (sqrt (exp im))) 3) (pow (* (* 0.5 (cos re)) (sqrt (exp im))) 3) (* (cbrt (* (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (* (* 0.5 (cos re)) (sqrt (exp im))))) (cbrt (* (* 0.5 (cos re)) (sqrt (exp im)))) (pow (* (* 0.5 (cos re)) (sqrt (exp im))) 3) (sqrt (* (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (* (* 0.5 (cos re)) (sqrt (exp im)))) (* (* 0.5 (cos re)) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* 0.5 (* (cos re) (fabs (cbrt (exp im))))) (* (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (* 0.5 (cos re)) (* (cos re) (sqrt (exp im))) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (exp (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (/ (exp im) (cos re)) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* (* 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)) (/ (cos re) (exp im)))) (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) (- (+ (* 0.25 im) 0.5) (* 0.25 (pow re 2))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* 0.5 (cos re)) (sqrt (exp im))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) 1.168 * * * [progress]: adding candidates to table 1.390 * * [progress]: iteration 4 / 4 1.390 * * * [progress]: picking best candidate 1.393 * * * * [pick]: Picked # 1.393 * * * [progress]: localizing error 1.406 * * * [progress]: generating rewritten candidates 1.406 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.410 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.428 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.455 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.466 * * * [progress]: generating series expansions 1.466 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.466 * [approximate]: Taking taylor expansion of (* (cos re) (* 0.5 (+ (exp im) (exp (- im))))) in (re im) around 0 1.466 * [taylor]: Taking taylor expansion of (* (cos re) (* 0.5 (+ (exp im) (exp (- im))))) in im 1.466 * [taylor]: Taking taylor expansion of (cos re) in im 1.466 * [taylor]: Taking taylor expansion of re in im 1.466 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 1.466 * [taylor]: Taking taylor expansion of 0.5 in im 1.466 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.466 * [taylor]: Taking taylor expansion of (exp im) in im 1.466 * [taylor]: Taking taylor expansion of im in im 1.466 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.466 * [taylor]: Taking taylor expansion of (- im) in im 1.466 * [taylor]: Taking taylor expansion of im in im 1.467 * [taylor]: Taking taylor expansion of (* (cos re) (* 0.5 (+ (exp im) (exp (- im))))) in re 1.467 * [taylor]: Taking taylor expansion of (cos re) in re 1.467 * [taylor]: Taking taylor expansion of re in re 1.467 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in re 1.467 * [taylor]: Taking taylor expansion of 0.5 in re 1.467 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.467 * [taylor]: Taking taylor expansion of (exp im) in re 1.467 * [taylor]: Taking taylor expansion of im in re 1.467 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.467 * [taylor]: Taking taylor expansion of (- im) in re 1.467 * [taylor]: Taking taylor expansion of im in re 1.467 * [taylor]: Taking taylor expansion of (* (cos re) (* 0.5 (+ (exp im) (exp (- im))))) in re 1.467 * [taylor]: Taking taylor expansion of (cos re) in re 1.467 * [taylor]: Taking taylor expansion of re in re 1.467 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in re 1.467 * [taylor]: Taking taylor expansion of 0.5 in re 1.467 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.467 * [taylor]: Taking taylor expansion of (exp im) in re 1.467 * [taylor]: Taking taylor expansion of im in re 1.467 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.467 * [taylor]: Taking taylor expansion of (- im) in re 1.467 * [taylor]: Taking taylor expansion of im in re 1.468 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 1.468 * [taylor]: Taking taylor expansion of 0.5 in im 1.468 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.468 * [taylor]: Taking taylor expansion of (exp im) in im 1.468 * [taylor]: Taking taylor expansion of im in im 1.468 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.468 * [taylor]: Taking taylor expansion of (- im) in im 1.468 * [taylor]: Taking taylor expansion of im in im 1.471 * [taylor]: Taking taylor expansion of 0 in im 1.478 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 1.478 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 1.478 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.478 * [taylor]: Taking taylor expansion of 0.25 in im 1.478 * [taylor]: Taking taylor expansion of (exp im) in im 1.478 * [taylor]: Taking taylor expansion of im in im 1.478 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 1.478 * [taylor]: Taking taylor expansion of 0.25 in im 1.478 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.478 * [taylor]: Taking taylor expansion of (- im) in im 1.478 * [taylor]: Taking taylor expansion of im in im 1.484 * [approximate]: Taking taylor expansion of (* (cos (/ 1 re)) (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 1.484 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.484 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.484 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.484 * [taylor]: Taking taylor expansion of re in im 1.484 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.484 * [taylor]: Taking taylor expansion of 0.5 in im 1.484 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.484 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.484 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.484 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.484 * [taylor]: Taking taylor expansion of im in im 1.485 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.485 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.485 * [taylor]: Taking taylor expansion of im in im 1.485 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.485 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.485 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.485 * [taylor]: Taking taylor expansion of re in re 1.486 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.486 * [taylor]: Taking taylor expansion of 0.5 in re 1.486 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.486 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.486 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.486 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.486 * [taylor]: Taking taylor expansion of im in re 1.486 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.486 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.486 * [taylor]: Taking taylor expansion of im in re 1.486 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.486 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.486 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.486 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.486 * [taylor]: Taking taylor expansion of 0.5 in re 1.486 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.486 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.486 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.486 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.486 * [taylor]: Taking taylor expansion of im in re 1.486 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.486 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.486 * [taylor]: Taking taylor expansion of im in re 1.487 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.487 * [taylor]: Taking taylor expansion of 0.5 in im 1.487 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.487 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.487 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.487 * [taylor]: Taking taylor expansion of re in im 1.487 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.487 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.487 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.487 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.487 * [taylor]: Taking taylor expansion of im in im 1.488 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.488 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.488 * [taylor]: Taking taylor expansion of im in im 1.491 * [taylor]: Taking taylor expansion of 0 in im 1.497 * [taylor]: Taking taylor expansion of 0 in im 1.505 * [taylor]: Taking taylor expansion of 0 in im 1.505 * [approximate]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* (cos (/ -1 re)) 0.5)) in (re im) around 0 1.505 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* (cos (/ -1 re)) 0.5)) in im 1.505 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.505 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.505 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.505 * [taylor]: Taking taylor expansion of -1 in im 1.505 * [taylor]: Taking taylor expansion of im in im 1.506 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.506 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.506 * [taylor]: Taking taylor expansion of im in im 1.506 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) 0.5) in im 1.506 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.506 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.506 * [taylor]: Taking taylor expansion of -1 in im 1.506 * [taylor]: Taking taylor expansion of re in im 1.506 * [taylor]: Taking taylor expansion of 0.5 in im 1.506 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* (cos (/ -1 re)) 0.5)) in re 1.506 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.506 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.506 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.506 * [taylor]: Taking taylor expansion of -1 in re 1.506 * [taylor]: Taking taylor expansion of im in re 1.506 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.506 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.506 * [taylor]: Taking taylor expansion of im in re 1.506 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) 0.5) in re 1.506 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.506 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.507 * [taylor]: Taking taylor expansion of -1 in re 1.507 * [taylor]: Taking taylor expansion of re in re 1.507 * [taylor]: Taking taylor expansion of 0.5 in re 1.507 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (* (cos (/ -1 re)) 0.5)) in re 1.507 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.507 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.507 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.507 * [taylor]: Taking taylor expansion of -1 in re 1.507 * [taylor]: Taking taylor expansion of im in re 1.507 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.507 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.507 * [taylor]: Taking taylor expansion of im in re 1.507 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) 0.5) in re 1.507 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.507 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.507 * [taylor]: Taking taylor expansion of -1 in re 1.507 * [taylor]: Taking taylor expansion of re in re 1.508 * [taylor]: Taking taylor expansion of 0.5 in re 1.508 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.508 * [taylor]: Taking taylor expansion of 0.5 in im 1.508 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.508 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.508 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.508 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.508 * [taylor]: Taking taylor expansion of -1 in im 1.508 * [taylor]: Taking taylor expansion of im in im 1.508 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.508 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.508 * [taylor]: Taking taylor expansion of im in im 1.509 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.509 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.509 * [taylor]: Taking taylor expansion of -1 in im 1.509 * [taylor]: Taking taylor expansion of re in im 1.511 * [taylor]: Taking taylor expansion of 0 in im 1.520 * [taylor]: Taking taylor expansion of 0 in im 1.527 * [taylor]: Taking taylor expansion of 0 in im 1.528 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.528 * [approximate]: Taking taylor expansion of (pow (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 3) in (re im) around 0 1.528 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 3) in im 1.528 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 1.528 * [taylor]: Taking taylor expansion of 0.5 in im 1.528 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 1.528 * [taylor]: Taking taylor expansion of (cos re) in im 1.528 * [taylor]: Taking taylor expansion of re in im 1.528 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.528 * [taylor]: Taking taylor expansion of (exp im) in im 1.528 * [taylor]: Taking taylor expansion of im in im 1.528 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.528 * [taylor]: Taking taylor expansion of (- im) in im 1.528 * [taylor]: Taking taylor expansion of im in im 1.529 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 3) in re 1.529 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.529 * [taylor]: Taking taylor expansion of 0.5 in re 1.529 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.529 * [taylor]: Taking taylor expansion of (cos re) in re 1.529 * [taylor]: Taking taylor expansion of re in re 1.530 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.530 * [taylor]: Taking taylor expansion of (exp im) in re 1.530 * [taylor]: Taking taylor expansion of im in re 1.530 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.530 * [taylor]: Taking taylor expansion of (- im) in re 1.530 * [taylor]: Taking taylor expansion of im in re 1.530 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 3) in re 1.530 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.530 * [taylor]: Taking taylor expansion of 0.5 in re 1.530 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.530 * [taylor]: Taking taylor expansion of (cos re) in re 1.530 * [taylor]: Taking taylor expansion of re in re 1.530 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.530 * [taylor]: Taking taylor expansion of (exp im) in re 1.530 * [taylor]: Taking taylor expansion of im in re 1.530 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.530 * [taylor]: Taking taylor expansion of (- im) in re 1.530 * [taylor]: Taking taylor expansion of im in re 1.531 * [taylor]: Taking taylor expansion of (* 0.125 (pow (+ (exp im) (exp (- im))) 3)) in im 1.531 * [taylor]: Taking taylor expansion of 0.125 in im 1.531 * [taylor]: Taking taylor expansion of (pow (+ (exp im) (exp (- im))) 3) in im 1.531 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.531 * [taylor]: Taking taylor expansion of (exp im) in im 1.531 * [taylor]: Taking taylor expansion of im in im 1.531 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.531 * [taylor]: Taking taylor expansion of (- im) in im 1.531 * [taylor]: Taking taylor expansion of im in im 1.535 * [taylor]: Taking taylor expansion of 0 in im 1.543 * [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 1.544 * [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 1.544 * [taylor]: Taking taylor expansion of (* 0.5625 (* (exp im) (pow (exp (- im)) 2))) in im 1.544 * [taylor]: Taking taylor expansion of 0.5625 in im 1.544 * [taylor]: Taking taylor expansion of (* (exp im) (pow (exp (- im)) 2)) in im 1.544 * [taylor]: Taking taylor expansion of (exp im) in im 1.544 * [taylor]: Taking taylor expansion of im in im 1.544 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 1.544 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.544 * [taylor]: Taking taylor expansion of (- im) in im 1.544 * [taylor]: Taking taylor expansion of im in im 1.544 * [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 1.544 * [taylor]: Taking taylor expansion of (* 0.1875 (pow (exp (- im)) 3)) in im 1.544 * [taylor]: Taking taylor expansion of 0.1875 in im 1.544 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.544 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.544 * [taylor]: Taking taylor expansion of (- im) in im 1.544 * [taylor]: Taking taylor expansion of im in im 1.545 * [taylor]: Taking taylor expansion of (+ (* 0.1875 (pow (exp im) 3)) (* 0.5625 (* (pow (exp im) 2) (exp (- im))))) in im 1.545 * [taylor]: Taking taylor expansion of (* 0.1875 (pow (exp im) 3)) in im 1.545 * [taylor]: Taking taylor expansion of 0.1875 in im 1.545 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.545 * [taylor]: Taking taylor expansion of (exp im) in im 1.545 * [taylor]: Taking taylor expansion of im in im 1.545 * [taylor]: Taking taylor expansion of (* 0.5625 (* (pow (exp im) 2) (exp (- im)))) in im 1.545 * [taylor]: Taking taylor expansion of 0.5625 in im 1.545 * [taylor]: Taking taylor expansion of (* (pow (exp im) 2) (exp (- im))) in im 1.545 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.545 * [taylor]: Taking taylor expansion of (exp im) in im 1.545 * [taylor]: Taking taylor expansion of im in im 1.545 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.545 * [taylor]: Taking taylor expansion of (- im) in im 1.545 * [taylor]: Taking taylor expansion of im in im 1.555 * [approximate]: Taking taylor expansion of (pow (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 3) in (re im) around 0 1.555 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 3) in im 1.555 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.555 * [taylor]: Taking taylor expansion of 0.5 in im 1.555 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.555 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.555 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.555 * [taylor]: Taking taylor expansion of re in im 1.555 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.555 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.555 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.555 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.555 * [taylor]: Taking taylor expansion of im in im 1.556 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.556 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.556 * [taylor]: Taking taylor expansion of im in im 1.556 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 3) in re 1.557 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.557 * [taylor]: Taking taylor expansion of 0.5 in re 1.557 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.557 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.557 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.557 * [taylor]: Taking taylor expansion of re in re 1.557 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.557 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.557 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.557 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.557 * [taylor]: Taking taylor expansion of im in re 1.557 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.557 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.557 * [taylor]: Taking taylor expansion of im in re 1.557 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 3) in re 1.557 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.558 * [taylor]: Taking taylor expansion of 0.5 in re 1.558 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.558 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.558 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.558 * [taylor]: Taking taylor expansion of re in re 1.558 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.558 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.558 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.558 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.558 * [taylor]: Taking taylor expansion of im in re 1.558 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.558 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.558 * [taylor]: Taking taylor expansion of im in re 1.559 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (cos (/ 1 re)) 3) (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 3))) in im 1.559 * [taylor]: Taking taylor expansion of 0.125 in im 1.559 * [taylor]: Taking taylor expansion of (* (pow (cos (/ 1 re)) 3) (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 3)) in im 1.559 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 re)) 3) in im 1.559 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.559 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.559 * [taylor]: Taking taylor expansion of re in im 1.560 * [taylor]: Taking taylor expansion of (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 3) in im 1.560 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.560 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.560 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.560 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.560 * [taylor]: Taking taylor expansion of im in im 1.560 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.560 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.560 * [taylor]: Taking taylor expansion of im in im 1.564 * [taylor]: Taking taylor expansion of 0 in im 1.572 * [taylor]: Taking taylor expansion of 0 in im 1.584 * [taylor]: Taking taylor expansion of 0 in im 1.584 * [approximate]: Taking taylor expansion of (pow (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 3) in (re im) around 0 1.584 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 3) in im 1.584 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.584 * [taylor]: Taking taylor expansion of 0.5 in im 1.584 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.584 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.584 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.584 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.584 * [taylor]: Taking taylor expansion of -1 in im 1.584 * [taylor]: Taking taylor expansion of im in im 1.585 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.585 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.585 * [taylor]: Taking taylor expansion of im in im 1.585 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.585 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.585 * [taylor]: Taking taylor expansion of -1 in im 1.585 * [taylor]: Taking taylor expansion of re in im 1.586 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 3) in re 1.586 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.586 * [taylor]: Taking taylor expansion of 0.5 in re 1.586 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.586 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.586 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.586 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.586 * [taylor]: Taking taylor expansion of -1 in re 1.586 * [taylor]: Taking taylor expansion of im in re 1.586 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.586 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.586 * [taylor]: Taking taylor expansion of im in re 1.586 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.586 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.586 * [taylor]: Taking taylor expansion of -1 in re 1.586 * [taylor]: Taking taylor expansion of re in re 1.587 * [taylor]: Taking taylor expansion of (pow (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 3) in re 1.587 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.587 * [taylor]: Taking taylor expansion of 0.5 in re 1.587 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.587 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.587 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.587 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.587 * [taylor]: Taking taylor expansion of -1 in re 1.587 * [taylor]: Taking taylor expansion of im in re 1.587 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.587 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.587 * [taylor]: Taking taylor expansion of im in re 1.587 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.587 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.587 * [taylor]: Taking taylor expansion of -1 in re 1.587 * [taylor]: Taking taylor expansion of re in re 1.588 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) (pow (cos (/ -1 re)) 3))) in im 1.588 * [taylor]: Taking taylor expansion of 0.125 in im 1.588 * [taylor]: Taking taylor expansion of (* (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) (pow (cos (/ -1 re)) 3)) in im 1.588 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 1.588 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.588 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.588 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.588 * [taylor]: Taking taylor expansion of -1 in im 1.588 * [taylor]: Taking taylor expansion of im in im 1.589 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.589 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.589 * [taylor]: Taking taylor expansion of im in im 1.589 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 re)) 3) in im 1.589 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.589 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.589 * [taylor]: Taking taylor expansion of -1 in im 1.589 * [taylor]: Taking taylor expansion of re in im 1.593 * [taylor]: Taking taylor expansion of 0 in im 1.600 * [taylor]: Taking taylor expansion of 0 in im 1.617 * [taylor]: Taking taylor expansion of 0 in im 1.617 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.617 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 1.617 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 1.617 * [taylor]: Taking taylor expansion of 0.5 in im 1.617 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 1.617 * [taylor]: Taking taylor expansion of (cos re) in im 1.617 * [taylor]: Taking taylor expansion of re in im 1.617 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.617 * [taylor]: Taking taylor expansion of (exp im) in im 1.617 * [taylor]: Taking taylor expansion of im in im 1.617 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.617 * [taylor]: Taking taylor expansion of (- im) in im 1.617 * [taylor]: Taking taylor expansion of im in im 1.618 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.618 * [taylor]: Taking taylor expansion of 0.5 in re 1.618 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.618 * [taylor]: Taking taylor expansion of (cos re) in re 1.618 * [taylor]: Taking taylor expansion of re in re 1.618 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.618 * [taylor]: Taking taylor expansion of (exp im) in re 1.618 * [taylor]: Taking taylor expansion of im in re 1.618 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.618 * [taylor]: Taking taylor expansion of (- im) in re 1.618 * [taylor]: Taking taylor expansion of im in re 1.618 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.618 * [taylor]: Taking taylor expansion of 0.5 in re 1.618 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.618 * [taylor]: Taking taylor expansion of (cos re) in re 1.618 * [taylor]: Taking taylor expansion of re in re 1.618 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.618 * [taylor]: Taking taylor expansion of (exp im) in re 1.618 * [taylor]: Taking taylor expansion of im in re 1.618 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.618 * [taylor]: Taking taylor expansion of (- im) in re 1.618 * [taylor]: Taking taylor expansion of im in re 1.619 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 1.619 * [taylor]: Taking taylor expansion of 0.5 in im 1.619 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.619 * [taylor]: Taking taylor expansion of (exp im) in im 1.619 * [taylor]: Taking taylor expansion of im in im 1.619 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.619 * [taylor]: Taking taylor expansion of (- im) in im 1.619 * [taylor]: Taking taylor expansion of im in im 1.622 * [taylor]: Taking taylor expansion of 0 in im 1.628 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 1.628 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 1.628 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.628 * [taylor]: Taking taylor expansion of 0.25 in im 1.628 * [taylor]: Taking taylor expansion of (exp im) in im 1.628 * [taylor]: Taking taylor expansion of im in im 1.628 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 1.628 * [taylor]: Taking taylor expansion of 0.25 in im 1.628 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.628 * [taylor]: Taking taylor expansion of (- im) in im 1.628 * [taylor]: Taking taylor expansion of im in im 1.634 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 1.634 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.634 * [taylor]: Taking taylor expansion of 0.5 in im 1.634 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.634 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.634 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.634 * [taylor]: Taking taylor expansion of re in im 1.634 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.634 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.634 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.634 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.634 * [taylor]: Taking taylor expansion of im in im 1.635 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.635 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.635 * [taylor]: Taking taylor expansion of im in im 1.635 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.635 * [taylor]: Taking taylor expansion of 0.5 in re 1.635 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.635 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.635 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.635 * [taylor]: Taking taylor expansion of re in re 1.636 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.636 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.636 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.636 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.636 * [taylor]: Taking taylor expansion of im in re 1.636 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.636 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.636 * [taylor]: Taking taylor expansion of im in re 1.636 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.636 * [taylor]: Taking taylor expansion of 0.5 in re 1.636 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.636 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.636 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.636 * [taylor]: Taking taylor expansion of re in re 1.636 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.636 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.636 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.636 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.636 * [taylor]: Taking taylor expansion of im in re 1.637 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.637 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.637 * [taylor]: Taking taylor expansion of im in re 1.637 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.637 * [taylor]: Taking taylor expansion of 0.5 in im 1.637 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.637 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.637 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.637 * [taylor]: Taking taylor expansion of re in im 1.637 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.637 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.637 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.637 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.637 * [taylor]: Taking taylor expansion of im in im 1.638 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.638 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.638 * [taylor]: Taking taylor expansion of im in im 1.641 * [taylor]: Taking taylor expansion of 0 in im 1.647 * [taylor]: Taking taylor expansion of 0 in im 1.656 * [taylor]: Taking taylor expansion of 0 in im 1.656 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 1.656 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.656 * [taylor]: Taking taylor expansion of 0.5 in im 1.656 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.656 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.656 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.656 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.656 * [taylor]: Taking taylor expansion of -1 in im 1.656 * [taylor]: Taking taylor expansion of im in im 1.657 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.657 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.657 * [taylor]: Taking taylor expansion of im in im 1.657 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.657 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.657 * [taylor]: Taking taylor expansion of -1 in im 1.657 * [taylor]: Taking taylor expansion of re in im 1.657 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.657 * [taylor]: Taking taylor expansion of 0.5 in re 1.657 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.657 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.657 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.657 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.657 * [taylor]: Taking taylor expansion of -1 in re 1.657 * [taylor]: Taking taylor expansion of im in re 1.657 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.657 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.657 * [taylor]: Taking taylor expansion of im in re 1.657 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.657 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.657 * [taylor]: Taking taylor expansion of -1 in re 1.657 * [taylor]: Taking taylor expansion of re in re 1.658 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.658 * [taylor]: Taking taylor expansion of 0.5 in re 1.658 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.658 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.658 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.658 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.658 * [taylor]: Taking taylor expansion of -1 in re 1.658 * [taylor]: Taking taylor expansion of im in re 1.658 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.658 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.658 * [taylor]: Taking taylor expansion of im in re 1.658 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.658 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.658 * [taylor]: Taking taylor expansion of -1 in re 1.658 * [taylor]: Taking taylor expansion of re in re 1.659 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.659 * [taylor]: Taking taylor expansion of 0.5 in im 1.659 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.659 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.659 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.659 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.659 * [taylor]: Taking taylor expansion of -1 in im 1.659 * [taylor]: Taking taylor expansion of im in im 1.659 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.659 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.659 * [taylor]: Taking taylor expansion of im in im 1.660 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.660 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.660 * [taylor]: Taking taylor expansion of -1 in im 1.660 * [taylor]: Taking taylor expansion of re in im 1.662 * [taylor]: Taking taylor expansion of 0 in im 1.668 * [taylor]: Taking taylor expansion of 0 in im 1.675 * [taylor]: Taking taylor expansion of 0 in im 1.675 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.675 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 1.675 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.675 * [taylor]: Taking taylor expansion of (exp im) in im 1.675 * [taylor]: Taking taylor expansion of im in im 1.675 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.675 * [taylor]: Taking taylor expansion of (- im) in im 1.675 * [taylor]: Taking taylor expansion of im in im 1.676 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.676 * [taylor]: Taking taylor expansion of (exp im) in im 1.676 * [taylor]: Taking taylor expansion of im in im 1.676 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.676 * [taylor]: Taking taylor expansion of (- im) in im 1.676 * [taylor]: Taking taylor expansion of im in im 1.696 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 1.696 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.696 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.696 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.696 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.696 * [taylor]: Taking taylor expansion of im in im 1.697 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.697 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.697 * [taylor]: Taking taylor expansion of im in im 1.697 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.697 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.697 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.697 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.697 * [taylor]: Taking taylor expansion of im in im 1.698 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.698 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.698 * [taylor]: Taking taylor expansion of im in im 1.700 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.700 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.700 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.700 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.700 * [taylor]: Taking taylor expansion of -1 in im 1.700 * [taylor]: Taking taylor expansion of im in im 1.700 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.700 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.700 * [taylor]: Taking taylor expansion of im in im 1.701 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.701 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.701 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.701 * [taylor]: Taking taylor expansion of -1 in im 1.701 * [taylor]: Taking taylor expansion of im in im 1.701 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.701 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.701 * [taylor]: Taking taylor expansion of im in im 1.703 * * * [progress]: simplifying candidates 1.704 * [simplify]: Simplifying using # : (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))) (* (+ (+ (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)) (* (* 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))) (- (+ (* 1.5 (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))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 1.710 * * [simplify]: iteration 0 : 383 enodes (cost 817 ) 1.718 * * [simplify]: iteration 1 : 1993 enodes (cost 768 ) 1.766 * * [simplify]: iteration 2 : 5002 enodes (cost 767 ) 1.770 * [simplify]: Simplified to: (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 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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)) (- (+ (* 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))) (- (+ (* 1.5 (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))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) 1.771 * * * [progress]: adding candidates to table 2.011 * [progress]: [Phase 3 of 3] Extracting. 2.011 * * [regime]: Finding splitpoints for: (# #) 2.012 * * * [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) 2.012 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# #) 2.028 * * * * [regimes]: Trying to branch on (cos re) from (# #) 2.046 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 2.061 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# #) 2.086 * * * * [regimes]: Trying to branch on im from (# #) 2.098 * * * * [regimes]: Trying to branch on re from (# #) 2.111 * * * [regime]: Found split indices: #