7.464 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.078 * * * [progress]: [2/2] Setting up program. 0.080 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.083 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.084 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.086 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.088 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.091 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.095 * * [simplify]: iteration 5 : 629 enodes (cost 7 ) 0.103 * * [simplify]: iteration 6 : 1415 enodes (cost 7 ) 0.114 * * [simplify]: iteration 7 : 2148 enodes (cost 7 ) 0.155 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.156 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.156 * * [progress]: iteration 1 / 4 0.156 * * * [progress]: picking best candidate 0.158 * * * * [pick]: Picked # 0.159 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.169 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.195 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.205 * * * [progress]: generating series expansions 0.205 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.205 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.205 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.205 * [taylor]: Taking taylor expansion of 0.5 in im 0.205 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.205 * [taylor]: Taking taylor expansion of (cos re) in im 0.205 * [taylor]: Taking taylor expansion of re in im 0.205 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.205 * [taylor]: Taking taylor expansion of (exp im) in im 0.205 * [taylor]: Taking taylor expansion of im in im 0.206 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.206 * [taylor]: Taking taylor expansion of (- im) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.206 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.206 * [taylor]: Taking taylor expansion of 0.5 in re 0.206 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.206 * [taylor]: Taking taylor expansion of (cos re) in re 0.206 * [taylor]: Taking taylor expansion of re in re 0.207 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.207 * [taylor]: Taking taylor expansion of (exp im) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.207 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.207 * [taylor]: Taking taylor expansion of (- im) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.207 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.207 * [taylor]: Taking taylor expansion of 0.5 in re 0.207 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.207 * [taylor]: Taking taylor expansion of (cos re) in re 0.207 * [taylor]: Taking taylor expansion of re in re 0.207 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.207 * [taylor]: Taking taylor expansion of (exp im) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.207 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.207 * [taylor]: Taking taylor expansion of (- im) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.207 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.207 * [taylor]: Taking taylor expansion of 0.5 in im 0.207 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.207 * [taylor]: Taking taylor expansion of (exp im) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.207 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.207 * [taylor]: Taking taylor expansion of (- im) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.214 * [taylor]: Taking taylor expansion of 0 in im 0.220 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.220 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.220 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.220 * [taylor]: Taking taylor expansion of 0.25 in im 0.220 * [taylor]: Taking taylor expansion of (exp im) in im 0.220 * [taylor]: Taking taylor expansion of im in im 0.220 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.220 * [taylor]: Taking taylor expansion of 0.25 in im 0.220 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.220 * [taylor]: Taking taylor expansion of (- im) in im 0.220 * [taylor]: Taking taylor expansion of im in im 0.226 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.226 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.226 * [taylor]: Taking taylor expansion of 0.5 in im 0.226 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.226 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.226 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.226 * [taylor]: Taking taylor expansion of re in im 0.227 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.227 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.227 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.227 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.227 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.227 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.228 * [taylor]: Taking taylor expansion of 0.5 in re 0.228 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.228 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.228 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.228 * [taylor]: Taking taylor expansion of re in re 0.228 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.228 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.228 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.228 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.228 * [taylor]: Taking taylor expansion of 0.5 in re 0.228 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.228 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.228 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.228 * [taylor]: Taking taylor expansion of re in re 0.229 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.229 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.229 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.229 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.229 * [taylor]: Taking taylor expansion of im in re 0.229 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.229 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.229 * [taylor]: Taking taylor expansion of im in re 0.229 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.229 * [taylor]: Taking taylor expansion of 0.5 in im 0.229 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.229 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.229 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.229 * [taylor]: Taking taylor expansion of re in im 0.229 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.229 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.229 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.229 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.230 * [taylor]: Taking taylor expansion of 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 im in im 0.233 * [taylor]: Taking taylor expansion of 0 in im 0.239 * [taylor]: Taking taylor expansion of 0 in im 0.247 * [taylor]: Taking taylor expansion of 0 in im 0.248 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.248 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.248 * [taylor]: Taking taylor expansion of 0.5 in im 0.248 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.248 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.248 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.248 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.248 * [taylor]: Taking taylor expansion of -1 in im 0.248 * [taylor]: Taking taylor expansion of im in im 0.248 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.248 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.248 * [taylor]: Taking taylor expansion of im in im 0.249 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.249 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.249 * [taylor]: Taking taylor expansion of -1 in im 0.249 * [taylor]: Taking taylor expansion of re in im 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.249 * [taylor]: Taking taylor expansion of 0.5 in re 0.249 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.249 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.249 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.249 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.249 * [taylor]: Taking taylor expansion of -1 in re 0.249 * [taylor]: Taking taylor expansion of im in re 0.249 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.249 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.249 * [taylor]: Taking taylor expansion of im in re 0.249 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.249 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.249 * [taylor]: Taking taylor expansion of -1 in re 0.249 * [taylor]: Taking taylor expansion of re in re 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.249 * [taylor]: Taking taylor expansion of 0.5 in re 0.249 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.249 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.249 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.250 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.250 * [taylor]: Taking taylor expansion of -1 in re 0.250 * [taylor]: Taking taylor expansion of im in re 0.250 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.250 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.250 * [taylor]: Taking taylor expansion of im in re 0.250 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.250 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.250 * [taylor]: Taking taylor expansion of -1 in re 0.250 * [taylor]: Taking taylor expansion of re in re 0.250 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.250 * [taylor]: Taking taylor expansion of 0.5 in im 0.250 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.250 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.251 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.251 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.251 * [taylor]: Taking taylor expansion of -1 in im 0.251 * [taylor]: Taking taylor expansion of im in im 0.251 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.251 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.251 * [taylor]: Taking taylor expansion of im in im 0.251 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.251 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.251 * [taylor]: Taking taylor expansion of -1 in im 0.251 * [taylor]: Taking taylor expansion of re in im 0.254 * [taylor]: Taking taylor expansion of 0 in im 0.260 * [taylor]: Taking taylor expansion of 0 in im 0.267 * [taylor]: Taking taylor expansion of 0 in im 0.267 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.267 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.267 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.268 * [taylor]: Taking taylor expansion of (exp im) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.268 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.268 * [taylor]: Taking taylor expansion of (- im) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.268 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.268 * [taylor]: Taking taylor expansion of (exp im) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.268 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.268 * [taylor]: Taking taylor expansion of (- im) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.283 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.283 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.283 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.283 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.283 * [taylor]: Taking taylor expansion of im in im 0.284 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.284 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.284 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.284 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.284 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.285 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.285 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.285 * [taylor]: Taking taylor expansion of im in im 0.287 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.287 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.287 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.287 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.287 * [taylor]: Taking taylor expansion of -1 in im 0.287 * [taylor]: Taking taylor expansion of im in im 0.287 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.287 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.287 * [taylor]: Taking taylor expansion of im in im 0.288 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.288 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.288 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.288 * [taylor]: Taking taylor expansion of -1 in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.288 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.288 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.290 * * * [progress]: simplifying candidates 0.291 * [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)) 0.295 * * [simplify]: iteration 0 : 249 enodes (cost 347 ) 0.300 * * [simplify]: iteration 1 : 1229 enodes (cost 286 ) 0.327 * * [simplify]: iteration 2 : 5001 enodes (cost 284 ) 0.329 * [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)) 0.329 * * * [progress]: adding candidates to table 0.422 * * [progress]: iteration 2 / 4 0.422 * * * [progress]: picking best candidate 0.427 * * * * [pick]: Picked # 0.427 * * * [progress]: localizing error 0.436 * * * [progress]: generating rewritten candidates 0.436 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.441 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.453 * * * [progress]: generating series expansions 0.453 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.453 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 0.453 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.453 * [taylor]: Taking taylor expansion of 0.5 in im 0.453 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.453 * [taylor]: Taking taylor expansion of (cos re) in im 0.453 * [taylor]: Taking taylor expansion of re in im 0.453 * [taylor]: Taking taylor expansion of (exp im) in im 0.453 * [taylor]: Taking taylor expansion of im in im 0.454 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.454 * [taylor]: Taking taylor expansion of 0.5 in re 0.454 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.454 * [taylor]: Taking taylor expansion of (cos re) in re 0.454 * [taylor]: Taking taylor expansion of re in re 0.454 * [taylor]: Taking taylor expansion of (exp im) in re 0.454 * [taylor]: Taking taylor expansion of im in re 0.454 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.454 * [taylor]: Taking taylor expansion of 0.5 in re 0.454 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.454 * [taylor]: Taking taylor expansion of (cos re) in re 0.454 * [taylor]: Taking taylor expansion of re in re 0.454 * [taylor]: Taking taylor expansion of (exp im) in re 0.454 * [taylor]: Taking taylor expansion of im in re 0.454 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.454 * [taylor]: Taking taylor expansion of 0.5 in im 0.454 * [taylor]: Taking taylor expansion of (exp im) in im 0.454 * [taylor]: Taking taylor expansion of im in im 0.456 * [taylor]: Taking taylor expansion of 0 in im 0.460 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 0.460 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.460 * [taylor]: Taking taylor expansion of 0.25 in im 0.460 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.460 * [taylor]: Taking taylor expansion of (exp im) in im 0.460 * [taylor]: Taking taylor expansion of im in im 0.462 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.462 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.462 * [taylor]: Taking taylor expansion of 0.5 in im 0.462 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.462 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.462 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.462 * [taylor]: Taking taylor expansion of re in im 0.462 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.462 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.462 * [taylor]: Taking taylor expansion of im in im 0.463 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.463 * [taylor]: Taking taylor expansion of 0.5 in re 0.463 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.463 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.463 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.463 * [taylor]: Taking taylor expansion of re in re 0.463 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.463 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.463 * [taylor]: Taking taylor expansion of im in re 0.464 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.464 * [taylor]: Taking taylor expansion of 0.5 in re 0.464 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.464 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.464 * [taylor]: Taking taylor expansion of re in re 0.464 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.464 * [taylor]: Taking taylor expansion of im in re 0.464 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.464 * [taylor]: Taking taylor expansion of 0.5 in im 0.464 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.464 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.464 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.464 * [taylor]: Taking taylor expansion of re in im 0.464 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.464 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.464 * [taylor]: Taking taylor expansion of im in im 0.466 * [taylor]: Taking taylor expansion of 0 in im 0.470 * [taylor]: Taking taylor expansion of 0 in im 0.476 * [taylor]: Taking taylor expansion of 0 in im 0.476 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 0.476 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.476 * [taylor]: Taking taylor expansion of 0.5 in im 0.476 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.476 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.476 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.476 * [taylor]: Taking taylor expansion of -1 in im 0.476 * [taylor]: Taking taylor expansion of re in im 0.476 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.476 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.476 * [taylor]: Taking taylor expansion of -1 in im 0.476 * [taylor]: Taking taylor expansion of im in im 0.477 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.477 * [taylor]: Taking taylor expansion of 0.5 in re 0.477 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.477 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.477 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.477 * [taylor]: Taking taylor expansion of -1 in re 0.477 * [taylor]: Taking taylor expansion of re in re 0.477 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.477 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.477 * [taylor]: Taking taylor expansion of -1 in re 0.477 * [taylor]: Taking taylor expansion of im in re 0.478 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.478 * [taylor]: Taking taylor expansion of 0.5 in re 0.478 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.478 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.478 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.478 * [taylor]: Taking taylor expansion of -1 in re 0.478 * [taylor]: Taking taylor expansion of re in re 0.478 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.478 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.478 * [taylor]: Taking taylor expansion of -1 in re 0.478 * [taylor]: Taking taylor expansion of im in re 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.479 * [taylor]: Taking taylor expansion of 0.5 in im 0.479 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.479 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.479 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.479 * [taylor]: Taking taylor expansion of -1 in im 0.479 * [taylor]: Taking taylor expansion of re in im 0.479 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.479 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.479 * [taylor]: Taking taylor expansion of -1 in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.481 * [taylor]: Taking taylor expansion of 0 in im 0.485 * [taylor]: Taking taylor expansion of 0 in im 0.490 * [taylor]: Taking taylor expansion of 0 in im 0.490 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.490 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 0.490 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.490 * [taylor]: Taking taylor expansion of 0.5 in im 0.491 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.491 * [taylor]: Taking taylor expansion of (exp im) in im 0.491 * [taylor]: Taking taylor expansion of im in im 0.491 * [taylor]: Taking taylor expansion of (cos re) in im 0.491 * [taylor]: Taking taylor expansion of re in im 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.491 * [taylor]: Taking taylor expansion of 0.5 in re 0.491 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.491 * [taylor]: Taking taylor expansion of (exp im) in re 0.491 * [taylor]: Taking taylor expansion of im in re 0.491 * [taylor]: Taking taylor expansion of (cos re) in re 0.491 * [taylor]: Taking taylor expansion of re in re 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.491 * [taylor]: Taking taylor expansion of 0.5 in re 0.491 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.491 * [taylor]: Taking taylor expansion of (exp im) in re 0.491 * [taylor]: Taking taylor expansion of im in re 0.491 * [taylor]: Taking taylor expansion of (cos re) in re 0.491 * [taylor]: Taking taylor expansion of re in re 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.491 * [taylor]: Taking taylor expansion of 0.5 in im 0.491 * [taylor]: Taking taylor expansion of (exp im) in im 0.491 * [taylor]: Taking taylor expansion of im in im 0.493 * [taylor]: Taking taylor expansion of 0 in im 0.496 * [taylor]: Taking taylor expansion of (- (* 0.25 (exp im))) in im 0.496 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.496 * [taylor]: Taking taylor expansion of 0.25 in im 0.496 * [taylor]: Taking taylor expansion of (exp im) in im 0.496 * [taylor]: Taking taylor expansion of im in im 0.498 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.498 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.498 * [taylor]: Taking taylor expansion of 0.5 in im 0.498 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.498 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.498 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.498 * [taylor]: Taking taylor expansion of re in im 0.498 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.498 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.498 * [taylor]: Taking taylor expansion of im in im 0.498 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.498 * [taylor]: Taking taylor expansion of 0.5 in re 0.498 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 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 re in re 0.499 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.499 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.499 * [taylor]: Taking taylor expansion of im in re 0.499 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.499 * [taylor]: Taking taylor expansion of 0.5 in re 0.499 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.499 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.499 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.499 * [taylor]: Taking taylor expansion of re in re 0.499 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.499 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.499 * [taylor]: Taking taylor expansion of im in re 0.499 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.499 * [taylor]: Taking taylor expansion of 0.5 in im 0.499 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 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 re in im 0.500 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.500 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.500 * [taylor]: Taking taylor expansion of im in im 0.501 * [taylor]: Taking taylor expansion of 0 in im 0.505 * [taylor]: Taking taylor expansion of 0 in im 0.511 * [taylor]: Taking taylor expansion of 0 in im 0.511 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.511 * [taylor]: Taking taylor expansion of 0.5 in im 0.511 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.511 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.511 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.511 * [taylor]: Taking taylor expansion of -1 in im 0.511 * [taylor]: Taking taylor expansion of im in im 0.512 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.512 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.512 * [taylor]: Taking taylor expansion of -1 in im 0.512 * [taylor]: Taking taylor expansion of re in im 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.512 * [taylor]: Taking taylor expansion of 0.5 in re 0.512 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.512 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.512 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.512 * [taylor]: Taking taylor expansion of -1 in re 0.512 * [taylor]: Taking taylor expansion of im in re 0.512 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.512 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.512 * [taylor]: Taking taylor expansion of -1 in re 0.512 * [taylor]: Taking taylor expansion of re in re 0.513 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.513 * [taylor]: Taking taylor expansion of 0.5 in re 0.513 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.513 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.513 * [taylor]: Taking taylor expansion of -1 in re 0.513 * [taylor]: Taking taylor expansion of im in re 0.513 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.513 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.513 * [taylor]: Taking taylor expansion of -1 in re 0.513 * [taylor]: Taking taylor expansion of re in re 0.513 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.513 * [taylor]: Taking taylor expansion of 0.5 in im 0.513 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.513 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.513 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.513 * [taylor]: Taking taylor expansion of -1 in im 0.513 * [taylor]: Taking taylor expansion of im in im 0.514 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.514 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.514 * [taylor]: Taking taylor expansion of -1 in im 0.514 * [taylor]: Taking taylor expansion of re in im 0.515 * [taylor]: Taking taylor expansion of 0 in im 0.519 * [taylor]: Taking taylor expansion of 0 in im 0.525 * [taylor]: Taking taylor expansion of 0 in im 0.526 * * * [progress]: simplifying candidates 0.526 * [simplify]: Simplifying using # : (- (+ (log 0.5) (log (cos re))) im) (- (log (* 0.5 (cos re))) im) (log (/ (* 0.5 (cos re)) (exp im))) (exp (/ (* 0.5 (cos re)) (exp im))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) 1) (/ (exp im) (cos re)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (+ (+ (log 0.5) (log (cos re))) im) (+ (log (* 0.5 (cos re))) im) (log (* (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* 0.5 (cos re)) 1) (* (cos re) (exp im)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 0.530 * * [simplify]: iteration 0 : 203 enodes (cost 268 ) 0.535 * * [simplify]: iteration 1 : 1180 enodes (cost 217 ) 0.562 * * [simplify]: iteration 2 : 5001 enodes (cost 217 ) 0.564 * [simplify]: Simplified to: (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (exp (/ (* 0.5 (cos re)) (exp im))) (pow (* 0.5 (/ (cos re) (exp im))) 3) (pow (* 0.5 (/ (cos re) (exp im))) 3) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (pow (* 0.5 (/ (cos re) (exp im))) 3) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (/ (exp im) (cos re)) (* 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 (* (exp im) (cos re))) 3) (pow (* 0.5 (* (exp im) (cos re))) 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 (* (exp im) (cos re))) 3) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (* (cos re) (exp im)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 0.564 * * * [progress]: adding candidates to table 0.662 * * [progress]: iteration 3 / 4 0.662 * * * [progress]: picking best candidate 0.665 * * * * [pick]: Picked # 0.665 * * * [progress]: localizing error 0.687 * * * [progress]: generating rewritten candidates 0.687 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.695 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.807 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.809 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.818 * * * [progress]: generating series expansions 0.818 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.818 * [approximate]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in (im) around 0 0.818 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 0.818 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.818 * [taylor]: Taking taylor expansion of (exp im) in im 0.818 * [taylor]: Taking taylor expansion of im in im 0.818 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.818 * [taylor]: Taking taylor expansion of (exp im) in im 0.818 * [taylor]: Taking taylor expansion of im in im 0.818 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.818 * [taylor]: Taking taylor expansion of (- im) in im 0.818 * [taylor]: Taking taylor expansion of im in im 0.819 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 0.819 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.819 * [taylor]: Taking taylor expansion of (exp im) in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.819 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.819 * [taylor]: Taking taylor expansion of (exp im) in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.819 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.819 * [taylor]: Taking taylor expansion of (- im) in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.838 * [approximate]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 0.838 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.838 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.838 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.838 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.838 * [taylor]: Taking taylor expansion of im in im 0.839 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.839 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.839 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.839 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.839 * [taylor]: Taking taylor expansion of im in im 0.839 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.839 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.839 * [taylor]: Taking taylor expansion of im in im 0.840 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.840 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.840 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.840 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.840 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.840 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.840 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.840 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.841 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.841 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.841 * [taylor]: Taking taylor expansion of im in im 0.853 * [approximate]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 0.853 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.853 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.853 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.853 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.853 * [taylor]: Taking taylor expansion of -1 in im 0.853 * [taylor]: Taking taylor expansion of im in im 0.853 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 0.853 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.853 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.853 * [taylor]: Taking taylor expansion of -1 in im 0.853 * [taylor]: Taking taylor expansion of im in im 0.854 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.854 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.854 * [taylor]: Taking taylor expansion of im in im 0.854 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.854 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.854 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.854 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.854 * [taylor]: Taking taylor expansion of -1 in im 0.854 * [taylor]: Taking taylor expansion of im in im 0.854 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 0.855 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.855 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.855 * [taylor]: Taking taylor expansion of -1 in im 0.855 * [taylor]: Taking taylor expansion of im in im 0.855 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.855 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.855 * [taylor]: Taking taylor expansion of im in im 0.867 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.867 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in (re im) around 0 0.867 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in im 0.867 * [taylor]: Taking taylor expansion of 0.5 in im 0.867 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in im 0.867 * [taylor]: Taking taylor expansion of (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) in im 0.867 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in im 0.867 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.867 * [taylor]: Taking taylor expansion of (exp im) in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.867 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.867 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.867 * [taylor]: Taking taylor expansion of (- im) in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.868 * [taylor]: Taking taylor expansion of (cos re) in im 0.868 * [taylor]: Taking taylor expansion of re in im 0.868 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in im 0.868 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in im 0.868 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 0.868 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.868 * [taylor]: Taking taylor expansion of (- im) in im 0.868 * [taylor]: Taking taylor expansion of im in im 0.869 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.869 * [taylor]: Taking taylor expansion of (exp im) in im 0.869 * [taylor]: Taking taylor expansion of im in im 0.869 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.869 * [taylor]: Taking taylor expansion of (exp im) in im 0.869 * [taylor]: Taking taylor expansion of im in im 0.869 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.869 * [taylor]: Taking taylor expansion of (- im) in im 0.869 * [taylor]: Taking taylor expansion of im in im 0.872 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in re 0.872 * [taylor]: Taking taylor expansion of 0.5 in re 0.872 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in re 0.872 * [taylor]: Taking taylor expansion of (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) in re 0.872 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in re 0.872 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in re 0.872 * [taylor]: Taking taylor expansion of (exp im) in re 0.872 * [taylor]: Taking taylor expansion of im in re 0.873 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in re 0.873 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.873 * [taylor]: Taking taylor expansion of (- im) in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.873 * [taylor]: Taking taylor expansion of (cos re) in re 0.873 * [taylor]: Taking taylor expansion of re in re 0.873 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in re 0.873 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in re 0.873 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in re 0.873 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.873 * [taylor]: Taking taylor expansion of (- im) in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.873 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in re 0.873 * [taylor]: Taking taylor expansion of (exp im) in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.873 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in re 0.873 * [taylor]: Taking taylor expansion of (exp im) in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.873 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.873 * [taylor]: Taking taylor expansion of (- im) in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.875 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in re 0.875 * [taylor]: Taking taylor expansion of 0.5 in re 0.875 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in re 0.875 * [taylor]: Taking taylor expansion of (* (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (cos re)) in re 0.875 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in re 0.875 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in re 0.875 * [taylor]: Taking taylor expansion of (exp im) in re 0.875 * [taylor]: Taking taylor expansion of im in re 0.875 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in re 0.875 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.875 * [taylor]: Taking taylor expansion of (- im) in re 0.875 * [taylor]: Taking taylor expansion of im in re 0.875 * [taylor]: Taking taylor expansion of (cos re) in re 0.875 * [taylor]: Taking taylor expansion of re in re 0.875 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in re 0.875 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in re 0.875 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in re 0.875 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.875 * [taylor]: Taking taylor expansion of (- im) in re 0.875 * [taylor]: Taking taylor expansion of im in re 0.875 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in re 0.875 * [taylor]: Taking taylor expansion of (exp im) in re 0.875 * [taylor]: Taking taylor expansion of im in re 0.875 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in re 0.875 * [taylor]: Taking taylor expansion of (exp im) in re 0.875 * [taylor]: Taking taylor expansion of im in re 0.875 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.875 * [taylor]: Taking taylor expansion of (- im) in re 0.875 * [taylor]: Taking taylor expansion of im in re 0.877 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in im 0.877 * [taylor]: Taking taylor expansion of 0.5 in im 0.877 * [taylor]: Taking taylor expansion of (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in im 0.877 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in im 0.877 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.877 * [taylor]: Taking taylor expansion of (exp im) in im 0.877 * [taylor]: Taking taylor expansion of im in im 0.877 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.877 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.877 * [taylor]: Taking taylor expansion of (- im) in im 0.877 * [taylor]: Taking taylor expansion of im in im 0.878 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in im 0.878 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in im 0.878 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 0.878 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.878 * [taylor]: Taking taylor expansion of (- im) in im 0.878 * [taylor]: Taking taylor expansion of im in im 0.878 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.878 * [taylor]: Taking taylor expansion of (exp im) in im 0.878 * [taylor]: Taking taylor expansion of im in im 0.878 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.878 * [taylor]: Taking taylor expansion of (exp im) in im 0.879 * [taylor]: Taking taylor expansion of im in im 0.879 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.879 * [taylor]: Taking taylor expansion of (- im) in im 0.879 * [taylor]: Taking taylor expansion of im in im 0.889 * [taylor]: Taking taylor expansion of 0 in im 0.913 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) (* 0.25 (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))))) in im 0.913 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) (* 0.25 (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))))) in im 0.913 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in im 0.913 * [taylor]: Taking taylor expansion of 0.25 in im 0.914 * [taylor]: Taking taylor expansion of (/ (pow (exp (- im)) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in im 0.914 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.914 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.914 * [taylor]: Taking taylor expansion of (- im) in im 0.914 * [taylor]: Taking taylor expansion of im in im 0.914 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in im 0.914 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in im 0.914 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 0.914 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.914 * [taylor]: Taking taylor expansion of (- im) in im 0.914 * [taylor]: Taking taylor expansion of im in im 0.915 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.915 * [taylor]: Taking taylor expansion of (exp im) in im 0.915 * [taylor]: Taking taylor expansion of im in im 0.915 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.915 * [taylor]: Taking taylor expansion of (exp im) in im 0.915 * [taylor]: Taking taylor expansion of im in im 0.915 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.915 * [taylor]: Taking taylor expansion of (- im) in im 0.915 * [taylor]: Taking taylor expansion of im in im 0.917 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))))) in im 0.917 * [taylor]: Taking taylor expansion of 0.25 in im 0.917 * [taylor]: Taking taylor expansion of (/ (pow (exp im) 3) (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im))))) in im 0.917 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.917 * [taylor]: Taking taylor expansion of (exp im) in im 0.917 * [taylor]: Taking taylor expansion of im in im 0.917 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) (* (exp im) (exp (- im)))) in im 0.917 * [taylor]: Taking taylor expansion of (+ (pow (exp (- im)) 2) (pow (exp im) 2)) in im 0.917 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 0.917 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.917 * [taylor]: Taking taylor expansion of (- im) in im 0.917 * [taylor]: Taking taylor expansion of im in im 0.918 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.918 * [taylor]: Taking taylor expansion of (exp im) in im 0.918 * [taylor]: Taking taylor expansion of im in im 0.918 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.918 * [taylor]: Taking taylor expansion of (exp im) in im 0.918 * [taylor]: Taking taylor expansion of im in im 0.918 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.918 * [taylor]: Taking taylor expansion of (- im) in im 0.918 * [taylor]: Taking taylor expansion of im in im 0.936 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0 0.936 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 0.936 * [taylor]: Taking taylor expansion of 0.5 in im 0.936 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.936 * [taylor]: Taking taylor expansion of (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) in im 0.936 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in im 0.936 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.936 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.936 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.936 * [taylor]: Taking taylor expansion of im in im 0.936 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.936 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.937 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.937 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.937 * [taylor]: Taking taylor expansion of im in im 0.937 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.937 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.937 * [taylor]: Taking taylor expansion of re in im 0.937 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.937 * [taylor]: Taking taylor expansion of (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) in im 0.937 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in im 0.937 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.937 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.937 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.937 * [taylor]: Taking taylor expansion of im in im 0.938 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.938 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.938 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.938 * [taylor]: Taking taylor expansion of im in im 0.938 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.938 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.938 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.938 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.938 * [taylor]: Taking taylor expansion of im in im 0.939 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.939 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.939 * [taylor]: Taking taylor expansion of im in im 0.941 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 0.942 * [taylor]: Taking taylor expansion of 0.5 in re 0.942 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.942 * [taylor]: Taking taylor expansion of (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) in re 0.942 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in re 0.942 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in re 0.942 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.942 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.942 * [taylor]: Taking taylor expansion of im in re 0.942 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in re 0.942 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.942 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.942 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.942 * [taylor]: Taking taylor expansion of im in re 0.942 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.942 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.942 * [taylor]: Taking taylor expansion of re in re 0.942 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.942 * [taylor]: Taking taylor expansion of (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) in re 0.942 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in re 0.942 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.942 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.942 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.942 * [taylor]: Taking taylor expansion of im in re 0.942 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 0.943 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.943 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.943 * [taylor]: Taking taylor expansion of im in re 0.943 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.943 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.943 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.943 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.943 * [taylor]: Taking taylor expansion of im in re 0.943 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.943 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.943 * [taylor]: Taking taylor expansion of im in re 0.945 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 0.945 * [taylor]: Taking taylor expansion of 0.5 in re 0.945 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.945 * [taylor]: Taking taylor expansion of (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) in re 0.945 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in re 0.945 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in re 0.945 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.945 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.945 * [taylor]: Taking taylor expansion of im in re 0.945 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in re 0.945 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.945 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.945 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.945 * [taylor]: Taking taylor expansion of im in re 0.945 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.945 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.945 * [taylor]: Taking taylor expansion of re in re 0.946 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.946 * [taylor]: Taking taylor expansion of (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) in re 0.946 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in re 0.946 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.946 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.946 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.946 * [taylor]: Taking taylor expansion of im in re 0.946 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 0.946 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.946 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.946 * [taylor]: Taking taylor expansion of im in re 0.946 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.946 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.946 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.946 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.946 * [taylor]: Taking taylor expansion of im in re 0.946 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.946 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.946 * [taylor]: Taking taylor expansion of im in re 0.949 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 0.949 * [taylor]: Taking taylor expansion of 0.5 in im 0.949 * [taylor]: Taking taylor expansion of (/ (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.949 * [taylor]: Taking taylor expansion of (* (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (cos (/ 1 re))) in im 0.949 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in im 0.949 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.949 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.949 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.949 * [taylor]: Taking taylor expansion of im in im 0.949 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.949 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.949 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.949 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.949 * [taylor]: Taking taylor expansion of im in im 0.950 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.950 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.950 * [taylor]: Taking taylor expansion of re in im 0.950 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.950 * [taylor]: Taking taylor expansion of (+ (pow (exp (- (/ 1 im))) 2) (pow (exp (/ 1 im)) 2)) in im 0.950 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in im 0.950 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.950 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.950 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.950 * [taylor]: Taking taylor expansion of im in im 0.951 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.951 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.951 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.951 * [taylor]: Taking taylor expansion of im in im 0.951 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.951 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.951 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.951 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.951 * [taylor]: Taking taylor expansion of im in im 0.952 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.952 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.952 * [taylor]: Taking taylor expansion of im in im 0.964 * [taylor]: Taking taylor expansion of 0 in im 0.982 * [taylor]: Taking taylor expansion of 0 in im 1.012 * [taylor]: Taking taylor expansion of 0 in im 1.014 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in (re im) around 0 1.014 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in im 1.014 * [taylor]: Taking taylor expansion of 0.5 in im 1.014 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) in im 1.014 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) in im 1.014 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.014 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.014 * [taylor]: Taking taylor expansion of -1 in im 1.014 * [taylor]: Taking taylor expansion of re in im 1.014 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in im 1.014 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.014 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.014 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.014 * [taylor]: Taking taylor expansion of -1 in im 1.014 * [taylor]: Taking taylor expansion of im in im 1.015 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.015 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.015 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.015 * [taylor]: Taking taylor expansion of im in im 1.015 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.015 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) in im 1.015 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 1.015 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.015 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.015 * [taylor]: Taking taylor expansion of -1 in im 1.015 * [taylor]: Taking taylor expansion of im in im 1.015 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.015 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.015 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.015 * [taylor]: Taking taylor expansion of im in im 1.016 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 1.016 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.016 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.016 * [taylor]: Taking taylor expansion of -1 in im 1.016 * [taylor]: Taking taylor expansion of im in im 1.016 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.016 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.016 * [taylor]: Taking taylor expansion of im in im 1.019 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in re 1.019 * [taylor]: Taking taylor expansion of 0.5 in re 1.019 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) in re 1.019 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) in re 1.019 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.019 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.019 * [taylor]: Taking taylor expansion of -1 in re 1.019 * [taylor]: Taking taylor expansion of re in re 1.019 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in re 1.019 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in re 1.019 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.019 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.019 * [taylor]: Taking taylor expansion of -1 in re 1.019 * [taylor]: Taking taylor expansion of im in re 1.019 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in re 1.019 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.019 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.019 * [taylor]: Taking taylor expansion of im in re 1.020 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.020 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) in re 1.020 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in re 1.020 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.020 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.020 * [taylor]: Taking taylor expansion of -1 in re 1.020 * [taylor]: Taking taylor expansion of im in re 1.020 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 1.020 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.020 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.020 * [taylor]: Taking taylor expansion of im in re 1.020 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in re 1.020 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.020 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.020 * [taylor]: Taking taylor expansion of -1 in re 1.020 * [taylor]: Taking taylor expansion of im in re 1.020 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.020 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.020 * [taylor]: Taking taylor expansion of im in re 1.022 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in re 1.022 * [taylor]: Taking taylor expansion of 0.5 in re 1.022 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) in re 1.022 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) in re 1.022 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.022 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.022 * [taylor]: Taking taylor expansion of -1 in re 1.022 * [taylor]: Taking taylor expansion of re in re 1.022 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in re 1.022 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in re 1.022 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.022 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.022 * [taylor]: Taking taylor expansion of -1 in re 1.023 * [taylor]: Taking taylor expansion of im in re 1.023 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in re 1.023 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.023 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.023 * [taylor]: Taking taylor expansion of im in re 1.023 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.023 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) in re 1.023 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in re 1.023 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.023 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.023 * [taylor]: Taking taylor expansion of -1 in re 1.023 * [taylor]: Taking taylor expansion of im in re 1.023 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 1.023 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.023 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.023 * [taylor]: Taking taylor expansion of im in re 1.023 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in re 1.023 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.023 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.023 * [taylor]: Taking taylor expansion of -1 in re 1.023 * [taylor]: Taking taylor expansion of im in re 1.023 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.023 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.023 * [taylor]: Taking taylor expansion of im in re 1.026 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))))) in im 1.026 * [taylor]: Taking taylor expansion of 0.5 in im 1.026 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im))))) in im 1.026 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3))) in im 1.026 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.026 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.026 * [taylor]: Taking taylor expansion of -1 in im 1.026 * [taylor]: Taking taylor expansion of re in im 1.026 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in im 1.026 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.026 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.026 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.026 * [taylor]: Taking taylor expansion of -1 in im 1.026 * [taylor]: Taking taylor expansion of im in im 1.026 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.026 * [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 1.027 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.027 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 2) (pow (exp (/ 1 im)) 2)) in im 1.027 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) 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 -1 in im 1.027 * [taylor]: Taking taylor expansion of im in im 1.027 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) 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 1.028 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 1.028 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.028 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.028 * [taylor]: Taking taylor expansion of -1 in im 1.028 * [taylor]: Taking taylor expansion of im in im 1.028 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.028 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.028 * [taylor]: Taking taylor expansion of im in im 1.039 * [taylor]: Taking taylor expansion of 0 in im 1.056 * [taylor]: Taking taylor expansion of 0 in im 1.078 * [taylor]: Taking taylor expansion of 0 in im 1.079 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.079 * [approximate]: Taking taylor expansion of (pow (exp im) 3) in (im) around 0 1.079 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.079 * [taylor]: Taking taylor expansion of (exp im) in im 1.079 * [taylor]: Taking taylor expansion of im in im 1.079 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.079 * [taylor]: Taking taylor expansion of (exp im) in im 1.079 * [taylor]: Taking taylor expansion of im in im 1.083 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 1.083 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.083 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.083 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.083 * [taylor]: Taking taylor expansion of im in im 1.083 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.083 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.083 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.084 * [taylor]: Taking taylor expansion of im in im 1.095 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in (im) around 0 1.095 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.095 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.095 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.095 * [taylor]: Taking taylor expansion of -1 in im 1.095 * [taylor]: Taking taylor expansion of im in im 1.095 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.095 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.095 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.096 * [taylor]: Taking taylor expansion of -1 in im 1.096 * [taylor]: Taking taylor expansion of im in im 1.104 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.104 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 3) in (im) around 0 1.104 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.105 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.105 * [taylor]: Taking taylor expansion of (- im) in im 1.105 * [taylor]: Taking taylor expansion of im in im 1.105 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.105 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.105 * [taylor]: Taking taylor expansion of (- im) in im 1.105 * [taylor]: Taking taylor expansion of im in im 1.110 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in (im) around 0 1.110 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.111 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.111 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.111 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.111 * [taylor]: Taking taylor expansion of im in im 1.111 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.111 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.111 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.111 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.111 * [taylor]: Taking taylor expansion of im in im 1.121 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 1.121 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.121 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.121 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.121 * [taylor]: Taking taylor expansion of im in im 1.121 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.121 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.121 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.121 * [taylor]: Taking taylor expansion of im in im 1.130 * * * [progress]: simplifying candidates 1.132 * [simplify]: Simplifying using # : (/ (exp (* (exp im) (exp im))) (exp (* (exp (- im)) (exp im)))) (log (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (exp (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (* (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (* (* (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (pow (* (exp im) (exp im)) 3) (pow (* (exp (- im)) (exp im)) 3)) 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(pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) (+ (* 2 (+ (pow im 2) im)) (* 4/3 (pow im 3))) (* (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)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) 1) 1)) (/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (- (+ (pow (exp (- im)) 2) (pow (exp im) 2)) 1) 1)) (+ (* 3 im) (+ (* 9/2 (pow im 2)) 1)) (pow (exp im) 3) (pow (exp im) 3) (- (+ (* 9/2 (pow im 2)) 1) (* 3 im)) (pow (exp (- im)) 3) (pow (exp (- im)) 3) 1.364 * * * [progress]: adding candidates to table 1.769 * [progress]: [Phase 3 of 3] Extracting. 1.769 * * [regime]: Finding splitpoints for: (# #) 1.770 * * * [regime-changes]: Trying 4 branch expressions: ((cos re) (* 0.5 (cos re)) im re) 1.770 * * * * [regimes]: Trying to branch on (cos re) from (# #) 1.786 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 1.803 * * * * [regimes]: Trying to branch on im from (# #) 1.818 * * * * [regimes]: Trying to branch on re from (# #) 1.831 * * * [regime]: Found split indices: #