8.816 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.093 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.095 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.096 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.098 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.100 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.103 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.106 * * [simplify]: iteration 5 : 629 enodes (cost 7 ) 0.114 * * [simplify]: iteration 6 : 1415 enodes (cost 7 ) 0.124 * * [simplify]: iteration 7 : 2148 enodes (cost 7 ) 0.160 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.160 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.160 * * [progress]: iteration 1 / 4 0.160 * * * [progress]: picking best candidate 0.162 * * * * [pick]: Picked # 0.162 * * * [progress]: localizing error 0.172 * * * [progress]: generating rewritten candidates 0.172 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.180 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.207 * * * [progress]: generating series expansions 0.207 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.207 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 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 0.208 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.208 * [taylor]: Taking taylor expansion of (exp im) in im 0.208 * [taylor]: Taking taylor expansion of im in im 0.208 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.208 * [taylor]: Taking taylor expansion of (- im) in im 0.208 * [taylor]: Taking taylor expansion of im in im 0.223 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.223 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.223 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.223 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.223 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.223 * [taylor]: Taking taylor expansion of im in im 0.223 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.224 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.224 * [taylor]: Taking taylor expansion of im in im 0.224 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.224 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.224 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.224 * [taylor]: Taking taylor expansion of im in im 0.224 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.224 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.224 * [taylor]: Taking taylor expansion of im in im 0.226 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 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 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 0.227 * [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 in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.228 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.228 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.228 * [taylor]: Taking taylor expansion of im in im 0.230 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.230 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.230 * [taylor]: Taking taylor expansion of 0.5 in im 0.230 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.230 * [taylor]: Taking taylor expansion of (cos re) in im 0.230 * [taylor]: Taking taylor expansion of re in im 0.230 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.230 * [taylor]: Taking taylor expansion of (exp im) in im 0.230 * [taylor]: Taking taylor expansion of im in im 0.230 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.230 * [taylor]: Taking taylor expansion of (- im) in im 0.230 * [taylor]: Taking taylor expansion of im in im 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.231 * [taylor]: Taking taylor expansion of 0.5 in re 0.231 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.231 * [taylor]: Taking taylor expansion of (cos re) in re 0.231 * [taylor]: Taking taylor expansion of re in re 0.231 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.231 * [taylor]: Taking taylor expansion of (exp im) in re 0.231 * [taylor]: Taking taylor expansion of im in re 0.231 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.231 * [taylor]: Taking taylor expansion of (- im) in re 0.231 * [taylor]: Taking taylor expansion of im in re 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.231 * [taylor]: Taking taylor expansion of 0.5 in re 0.231 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.231 * [taylor]: Taking taylor expansion of (cos re) in re 0.231 * [taylor]: Taking taylor expansion of re in re 0.231 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.231 * [taylor]: Taking taylor expansion of (exp im) in re 0.231 * [taylor]: Taking taylor expansion of im in re 0.231 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.231 * [taylor]: Taking taylor expansion of (- im) in re 0.231 * [taylor]: Taking taylor expansion of im in re 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.231 * [taylor]: Taking taylor expansion of 0.5 in im 0.231 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.231 * [taylor]: Taking taylor expansion of (exp im) in im 0.231 * [taylor]: Taking taylor expansion of im in im 0.231 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.231 * [taylor]: Taking taylor expansion of (- im) in im 0.231 * [taylor]: Taking taylor expansion of im in im 0.238 * [taylor]: Taking taylor expansion of 0 in im 0.244 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.244 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.244 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.244 * [taylor]: Taking taylor expansion of 0.25 in im 0.244 * [taylor]: Taking taylor expansion of (exp im) in im 0.244 * [taylor]: Taking taylor expansion of im in im 0.244 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.244 * [taylor]: Taking taylor expansion of 0.25 in im 0.244 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.244 * [taylor]: Taking taylor expansion of (- im) in im 0.244 * [taylor]: Taking taylor expansion of im in im 0.250 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.250 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.250 * [taylor]: Taking taylor expansion of 0.5 in im 0.250 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.250 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.250 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.250 * [taylor]: Taking taylor expansion of re in im 0.250 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.250 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.250 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.250 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.250 * [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 (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.251 * [taylor]: Taking taylor expansion of 0.5 in re 0.251 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.251 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.251 * [taylor]: Taking taylor expansion of re in re 0.251 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.251 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.251 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.252 * [taylor]: Taking taylor expansion of im in re 0.252 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.252 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.252 * [taylor]: Taking taylor expansion of im in re 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.252 * [taylor]: Taking taylor expansion of 0.5 in re 0.252 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.252 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.252 * [taylor]: Taking taylor expansion of re in re 0.252 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.252 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.252 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.252 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.252 * [taylor]: Taking taylor expansion of im in re 0.252 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.252 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.252 * [taylor]: Taking taylor expansion of im in re 0.253 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.253 * [taylor]: Taking taylor expansion of 0.5 in im 0.253 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.253 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.253 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.253 * [taylor]: Taking taylor expansion of re in im 0.253 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.253 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.253 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.253 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.253 * [taylor]: Taking taylor expansion of im in im 0.254 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.254 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.257 * [taylor]: Taking taylor expansion of 0 in im 0.262 * [taylor]: Taking taylor expansion of 0 in im 0.270 * [taylor]: Taking taylor expansion of 0 in im 0.271 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.271 * [taylor]: Taking taylor expansion of 0.5 in im 0.271 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.271 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.271 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.271 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.271 * [taylor]: Taking taylor expansion of -1 in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.271 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.271 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.271 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.272 * [taylor]: Taking taylor expansion of -1 in im 0.272 * [taylor]: Taking taylor expansion of re in im 0.272 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.272 * [taylor]: Taking taylor expansion of 0.5 in re 0.272 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.272 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.272 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.272 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.272 * [taylor]: Taking taylor expansion of -1 in re 0.272 * [taylor]: Taking taylor expansion of im in re 0.272 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.272 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.272 * [taylor]: Taking taylor expansion of im in re 0.272 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.272 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.272 * [taylor]: Taking taylor expansion of -1 in re 0.272 * [taylor]: Taking taylor expansion of re in re 0.272 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.272 * [taylor]: Taking taylor expansion of 0.5 in re 0.272 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.272 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.272 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.272 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.272 * [taylor]: Taking taylor expansion of -1 in re 0.272 * [taylor]: Taking taylor expansion of im in re 0.272 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.273 * [taylor]: Taking taylor expansion of im in re 0.273 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.273 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.273 * [taylor]: Taking taylor expansion of -1 in re 0.273 * [taylor]: Taking taylor expansion of re in re 0.273 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.273 * [taylor]: Taking taylor expansion of 0.5 in im 0.273 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.273 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.273 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.273 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.273 * [taylor]: Taking taylor expansion of -1 in im 0.273 * [taylor]: Taking taylor expansion of im in im 0.274 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.274 * [taylor]: Taking taylor expansion of im in im 0.274 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.274 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.274 * [taylor]: Taking taylor expansion of -1 in im 0.274 * [taylor]: Taking taylor expansion of re in im 0.277 * [taylor]: Taking taylor expansion of 0 in im 0.282 * [taylor]: Taking taylor expansion of 0 in im 0.289 * [taylor]: Taking taylor expansion of 0 in im 0.289 * * * [progress]: simplifying candidates 0.290 * [simplify]: Simplifying using # : (* (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 (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)))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (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 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.294 * * [simplify]: iteration 0 : 249 enodes (cost 347 ) 0.299 * * [simplify]: iteration 1 : 1229 enodes (cost 286 ) 0.325 * * [simplify]: iteration 2 : 5001 enodes (cost 284 ) 0.326 * [simplify]: Simplified to: (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 (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)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.326 * * * [progress]: adding candidates to table 0.429 * * [progress]: iteration 2 / 4 0.429 * * * [progress]: picking best candidate 0.433 * * * * [pick]: Picked # 0.433 * * * [progress]: localizing error 0.442 * * * [progress]: generating rewritten candidates 0.442 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.451 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.455 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.465 * * * [progress]: generating series expansions 0.465 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.465 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 0.465 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.465 * [taylor]: Taking taylor expansion of 0.5 in im 0.465 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.465 * [taylor]: Taking taylor expansion of (exp im) in im 0.465 * [taylor]: Taking taylor expansion of im in im 0.465 * [taylor]: Taking taylor expansion of (cos re) in im 0.465 * [taylor]: Taking taylor expansion of re in im 0.465 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.465 * [taylor]: Taking taylor expansion of 0.5 in re 0.465 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.465 * [taylor]: Taking taylor expansion of (exp im) in re 0.465 * [taylor]: Taking taylor expansion of im in re 0.465 * [taylor]: Taking taylor expansion of (cos re) in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.465 * [taylor]: Taking taylor expansion of 0.5 in re 0.465 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.465 * [taylor]: Taking taylor expansion of (exp im) in re 0.465 * [taylor]: Taking taylor expansion of im in re 0.465 * [taylor]: Taking taylor expansion of (cos re) in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.465 * [taylor]: Taking taylor expansion of 0.5 in im 0.465 * [taylor]: Taking taylor expansion of (exp im) in im 0.466 * [taylor]: Taking taylor expansion of im in im 0.467 * [taylor]: Taking taylor expansion of 0 in im 0.474 * [taylor]: Taking taylor expansion of (- (* 0.25 (exp im))) in im 0.474 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.474 * [taylor]: Taking taylor expansion of 0.25 in im 0.474 * [taylor]: Taking taylor expansion of (exp im) in im 0.474 * [taylor]: Taking taylor expansion of im in im 0.475 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.475 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.475 * [taylor]: Taking taylor expansion of 0.5 in im 0.475 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.475 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.475 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.475 * [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 im in im 0.476 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.476 * [taylor]: Taking taylor expansion of 0.5 in re 0.476 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.476 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.476 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.476 * [taylor]: Taking taylor expansion of re in re 0.476 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.476 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.476 * [taylor]: Taking taylor expansion of im in re 0.476 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.476 * [taylor]: Taking taylor expansion of 0.5 in re 0.476 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.476 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.476 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.476 * [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 im in re 0.477 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.477 * [taylor]: Taking taylor expansion of 0.5 in im 0.477 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.477 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.477 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.477 * [taylor]: Taking taylor expansion of re in im 0.477 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.477 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.477 * [taylor]: Taking taylor expansion of im in im 0.479 * [taylor]: Taking taylor expansion of 0 in im 0.483 * [taylor]: Taking taylor expansion of 0 in im 0.489 * [taylor]: Taking taylor expansion of 0 in im 0.489 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 0.489 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.489 * [taylor]: Taking taylor expansion of 0.5 in im 0.489 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.489 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.489 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.489 * [taylor]: Taking taylor expansion of -1 in im 0.489 * [taylor]: Taking taylor expansion of im in im 0.489 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.489 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.489 * [taylor]: Taking taylor expansion of -1 in im 0.489 * [taylor]: Taking taylor expansion of re in im 0.489 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.489 * [taylor]: Taking taylor expansion of 0.5 in re 0.489 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.489 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.489 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.489 * [taylor]: Taking taylor expansion of -1 in re 0.489 * [taylor]: Taking taylor expansion of im in re 0.490 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.490 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.490 * [taylor]: Taking taylor expansion of -1 in re 0.490 * [taylor]: Taking taylor expansion of re in re 0.490 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.490 * [taylor]: Taking taylor expansion of 0.5 in re 0.490 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.490 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.490 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.490 * [taylor]: Taking taylor expansion of -1 in re 0.490 * [taylor]: Taking taylor expansion of im in re 0.490 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.490 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.490 * [taylor]: Taking taylor expansion of -1 in re 0.490 * [taylor]: Taking taylor expansion of re in re 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.491 * [taylor]: Taking taylor expansion of 0.5 in im 0.491 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.491 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.491 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.491 * [taylor]: Taking taylor expansion of -1 in im 0.491 * [taylor]: Taking taylor expansion of im in im 0.491 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.491 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.491 * [taylor]: Taking taylor expansion of -1 in im 0.491 * [taylor]: Taking taylor expansion of re in im 0.493 * [taylor]: Taking taylor expansion of 0 in im 0.497 * [taylor]: Taking taylor expansion of 0 in im 0.502 * [taylor]: Taking taylor expansion of 0 in im 0.502 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.502 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 0.502 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.502 * [taylor]: Taking taylor expansion of 0.5 in im 0.502 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.502 * [taylor]: Taking taylor expansion of (cos re) in im 0.502 * [taylor]: Taking taylor expansion of re in im 0.502 * [taylor]: Taking taylor expansion of (exp im) in im 0.502 * [taylor]: Taking taylor expansion of im in im 0.503 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.503 * [taylor]: Taking taylor expansion of 0.5 in re 0.503 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.503 * [taylor]: Taking taylor expansion of (cos re) in re 0.503 * [taylor]: Taking taylor expansion of re in re 0.503 * [taylor]: Taking taylor expansion of (exp im) in re 0.503 * [taylor]: Taking taylor expansion of im in re 0.503 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.503 * [taylor]: Taking taylor expansion of 0.5 in re 0.503 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.503 * [taylor]: Taking taylor expansion of (cos re) in re 0.503 * [taylor]: Taking taylor expansion of re in re 0.503 * [taylor]: Taking taylor expansion of (exp im) in re 0.503 * [taylor]: Taking taylor expansion of im in re 0.503 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.503 * [taylor]: Taking taylor expansion of 0.5 in im 0.503 * [taylor]: Taking taylor expansion of (exp im) in im 0.503 * [taylor]: Taking taylor expansion of im in im 0.505 * [taylor]: Taking taylor expansion of 0 in im 0.509 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 0.509 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.509 * [taylor]: Taking taylor expansion of 0.25 in im 0.509 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.509 * [taylor]: Taking taylor expansion of (exp im) in im 0.509 * [taylor]: Taking taylor expansion of im in im 0.511 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.511 * [taylor]: Taking taylor expansion of 0.5 in im 0.511 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.511 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.511 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.511 * [taylor]: Taking taylor expansion of 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 im in im 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.512 * [taylor]: Taking taylor expansion of 0.5 in re 0.512 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 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 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 im in re 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.512 * [taylor]: Taking taylor expansion of 0.5 in re 0.512 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 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 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 im in re 0.513 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.513 * [taylor]: Taking taylor expansion of 0.5 in im 0.513 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.513 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.513 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.513 * [taylor]: Taking taylor expansion of 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 im in im 0.515 * [taylor]: Taking taylor expansion of 0 in im 0.519 * [taylor]: Taking taylor expansion of 0 in im 0.524 * [taylor]: Taking taylor expansion of 0 in im 0.524 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 0.524 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.524 * [taylor]: Taking taylor expansion of 0.5 in im 0.524 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.524 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.524 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.524 * [taylor]: Taking taylor expansion of -1 in im 0.524 * [taylor]: Taking taylor expansion of re in im 0.524 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.524 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.524 * [taylor]: Taking taylor expansion of -1 in im 0.524 * [taylor]: Taking taylor expansion of im in im 0.525 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.525 * [taylor]: Taking taylor expansion of 0.5 in re 0.525 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.525 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.525 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.525 * [taylor]: Taking taylor expansion of -1 in re 0.525 * [taylor]: Taking taylor expansion of re in re 0.526 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.526 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.526 * [taylor]: Taking taylor expansion of -1 in re 0.526 * [taylor]: Taking taylor expansion of im in re 0.526 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.526 * [taylor]: Taking taylor expansion of 0.5 in re 0.526 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.526 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.526 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.526 * [taylor]: Taking taylor expansion of -1 in re 0.526 * [taylor]: Taking taylor expansion of re in re 0.526 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.526 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.526 * [taylor]: Taking taylor expansion of -1 in re 0.526 * [taylor]: Taking taylor expansion of im in re 0.527 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.527 * [taylor]: Taking taylor expansion of 0.5 in im 0.527 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.527 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.527 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.527 * [taylor]: Taking taylor expansion of -1 in im 0.527 * [taylor]: Taking taylor expansion of re in im 0.527 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.527 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.527 * [taylor]: Taking taylor expansion of -1 in im 0.527 * [taylor]: Taking taylor expansion of im in im 0.529 * [taylor]: Taking taylor expansion of 0 in im 0.533 * [taylor]: Taking taylor expansion of 0 in im 0.538 * [taylor]: Taking taylor expansion of 0 in im 0.538 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.538 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 0.538 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 0.538 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.538 * [taylor]: Taking taylor expansion of 0.5 in im 0.538 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.538 * [taylor]: Taking taylor expansion of (exp im) in im 0.539 * [taylor]: Taking taylor expansion of im in im 0.539 * [taylor]: Taking taylor expansion of (cos re) in im 0.539 * [taylor]: Taking taylor expansion of re in im 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.539 * [taylor]: Taking taylor expansion of 0.5 in im 0.539 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.539 * [taylor]: Taking taylor expansion of (cos re) in im 0.539 * [taylor]: Taking taylor expansion of re in im 0.539 * [taylor]: Taking taylor expansion of (exp im) in im 0.539 * [taylor]: Taking taylor expansion of im in im 0.539 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.539 * [taylor]: Taking taylor expansion of 0.5 in re 0.539 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.539 * [taylor]: Taking taylor expansion of (exp im) in re 0.539 * [taylor]: Taking taylor expansion of im in re 0.539 * [taylor]: Taking taylor expansion of (cos re) in re 0.539 * [taylor]: Taking taylor expansion of re in re 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.539 * [taylor]: Taking taylor expansion of 0.5 in re 0.539 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.539 * [taylor]: Taking taylor expansion of (cos re) in re 0.539 * [taylor]: Taking taylor expansion of re in re 0.539 * [taylor]: Taking taylor expansion of (exp im) in re 0.539 * [taylor]: Taking taylor expansion of im in re 0.539 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.539 * [taylor]: Taking taylor expansion of 0.5 in re 0.540 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.540 * [taylor]: Taking taylor expansion of (exp im) in re 0.540 * [taylor]: Taking taylor expansion of im in re 0.540 * [taylor]: Taking taylor expansion of (cos re) in re 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.540 * [taylor]: Taking taylor expansion of 0.5 in re 0.540 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.540 * [taylor]: Taking taylor expansion of (cos re) in re 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [taylor]: Taking taylor expansion of (exp im) in re 0.540 * [taylor]: Taking taylor expansion of im in re 0.540 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 0.540 * [taylor]: Taking taylor expansion of 0.5 in im 0.540 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.540 * [taylor]: Taking taylor expansion of (exp im) in im 0.540 * [taylor]: Taking taylor expansion of im in im 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.540 * [taylor]: Taking taylor expansion of 0.5 in im 0.540 * [taylor]: Taking taylor expansion of (exp im) in im 0.540 * [taylor]: Taking taylor expansion of im in im 0.544 * [taylor]: Taking taylor expansion of 0 in im 0.551 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 0.551 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 0.551 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.551 * [taylor]: Taking taylor expansion of 0.25 in im 0.551 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.551 * [taylor]: Taking taylor expansion of (exp im) in im 0.551 * [taylor]: Taking taylor expansion of im in im 0.552 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.552 * [taylor]: Taking taylor expansion of 0.25 in im 0.552 * [taylor]: Taking taylor expansion of (exp im) in im 0.552 * [taylor]: Taking taylor expansion of im in im 0.563 * [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 0.563 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) 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 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 im in im 0.564 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.564 * [taylor]: Taking taylor expansion of 0.5 in im 0.564 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.564 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.564 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.564 * [taylor]: Taking taylor expansion of 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 im in im 0.565 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.565 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.565 * [taylor]: Taking taylor expansion of 0.5 in re 0.565 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.565 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.565 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.565 * [taylor]: Taking taylor expansion of re in re 0.565 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.565 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.565 * [taylor]: Taking taylor expansion of im in re 0.565 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.565 * [taylor]: Taking taylor expansion of 0.5 in re 0.565 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.565 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.565 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.565 * [taylor]: Taking taylor expansion of re in re 0.565 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.566 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.566 * [taylor]: Taking taylor expansion of im in re 0.566 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.566 * [taylor]: Taking taylor expansion of 0.5 in re 0.566 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.566 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.566 * [taylor]: Taking taylor expansion of re in re 0.566 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.566 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.567 * [taylor]: Taking taylor expansion of im in re 0.567 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.567 * [taylor]: Taking taylor expansion of 0.5 in re 0.567 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.567 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.567 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.567 * [taylor]: Taking taylor expansion of re in re 0.567 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.567 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.567 * [taylor]: Taking taylor expansion of im in re 0.568 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.568 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.568 * [taylor]: Taking taylor expansion of 0.5 in im 0.568 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.568 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.569 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.569 * [taylor]: Taking taylor expansion of re in im 0.569 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.569 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.569 * [taylor]: Taking taylor expansion of 0.5 in im 0.569 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.569 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.569 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.569 * [taylor]: Taking taylor expansion of re in im 0.570 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.570 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.570 * [taylor]: Taking taylor expansion of im in im 0.576 * [taylor]: Taking taylor expansion of 0 in im 0.590 * [taylor]: Taking taylor expansion of 0 in im 0.601 * [taylor]: Taking taylor expansion of 0 in im 0.601 * [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 0.601 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 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 -1 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 -1 in im 0.601 * [taylor]: Taking taylor expansion of im in im 0.602 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.602 * [taylor]: Taking taylor expansion of 0.5 in im 0.602 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.602 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.602 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.602 * [taylor]: Taking taylor expansion of -1 in im 0.602 * [taylor]: Taking taylor expansion of 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 -1 in im 0.603 * [taylor]: Taking taylor expansion of re in im 0.603 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) 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 -1 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 -1 in re 0.603 * [taylor]: Taking taylor expansion of im in re 0.603 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.603 * [taylor]: Taking taylor expansion of 0.5 in re 0.603 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 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 -1 in re 0.603 * [taylor]: Taking taylor expansion of im in re 0.604 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.604 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.604 * [taylor]: Taking taylor expansion of -1 in re 0.604 * [taylor]: Taking taylor expansion of re in re 0.604 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.604 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.604 * [taylor]: Taking taylor expansion of 0.5 in re 0.604 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.604 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.604 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.604 * [taylor]: Taking taylor expansion of -1 in re 0.604 * [taylor]: Taking taylor expansion of re in re 0.604 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.604 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.604 * [taylor]: Taking taylor expansion of -1 in re 0.604 * [taylor]: Taking taylor expansion of im in re 0.605 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.605 * [taylor]: Taking taylor expansion of 0.5 in re 0.605 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.605 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.605 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.605 * [taylor]: Taking taylor expansion of -1 in re 0.605 * [taylor]: Taking taylor expansion of im in re 0.605 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.605 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.605 * [taylor]: Taking taylor expansion of -1 in re 0.605 * [taylor]: Taking taylor expansion of re in re 0.605 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.606 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.606 * [taylor]: Taking taylor expansion of 0.5 in im 0.606 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.606 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.606 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.606 * [taylor]: Taking taylor expansion of -1 in im 0.606 * [taylor]: Taking taylor expansion of re in im 0.606 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.606 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.606 * [taylor]: Taking taylor expansion of -1 in im 0.606 * [taylor]: Taking taylor expansion of im in im 0.607 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.607 * [taylor]: Taking taylor expansion of 0.5 in im 0.607 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.607 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.607 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.607 * [taylor]: Taking taylor expansion of -1 in im 0.607 * [taylor]: Taking taylor expansion of im in im 0.607 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.607 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.607 * [taylor]: Taking taylor expansion of -1 in im 0.607 * [taylor]: Taking taylor expansion of re in im 0.610 * [taylor]: Taking taylor expansion of 0 in im 0.618 * [taylor]: Taking taylor expansion of 0 in im 0.629 * [taylor]: Taking taylor expansion of 0 in im 0.630 * * * [progress]: simplifying candidates 0.630 * [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)) (- (+ (log 0.5) (log (cos re))) im) (- (log (* 0.5 (cos re))) im) (log (/ (* 0.5 (cos re)) (exp im))) (exp (/ (* 0.5 (cos re)) (exp im))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) 1) (/ (exp im) (cos re)) (* (exp (/ (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im)))) (log (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (exp (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (* (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (+ (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (- (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (- (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (- (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ 1 (exp im)) (exp im)) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (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))) (- (+ (* 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)))) 0.635 * * [simplify]: iteration 0 : 284 enodes (cost 450 ) 0.641 * * [simplify]: iteration 1 : 1619 enodes (cost 391 ) 0.676 * * [simplify]: iteration 2 : 5002 enodes (cost 384 ) 0.678 * [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)) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (exp (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (/ (exp im) (cos re)) (exp (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (log (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (exp (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (pow (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) 3) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (* 0.5 (+ (* (/ (cos re) (exp im)) (* 0.5 (/ (cos re) (exp im)))) (* (* (cos re) (exp im)) (* 0.5 (- (* (cos re) (exp im)) (/ (cos re) (exp im))))))) (* (* 0.5 0.5) (- (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (* (exp (+ im im)) (* (cos re) (cos re))))) (* (cos re) (- (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 1 (exp im)) (exp im)) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (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))) (- (+ (* 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)))) 0.679 * * * [progress]: adding candidates to table 0.810 * * [progress]: iteration 3 / 4 0.810 * * * [progress]: picking best candidate 0.811 * * * * [pick]: Picked # 0.811 * * * [progress]: localizing error 0.820 * * * [progress]: generating rewritten candidates 0.820 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.823 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.834 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.871 * * * [progress]: generating series expansions 0.871 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.871 * [approximate]: Taking taylor expansion of (/ 1 (exp im)) in (im) around 0 0.871 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.871 * [taylor]: Taking taylor expansion of (exp im) in im 0.871 * [taylor]: Taking taylor expansion of im in im 0.872 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.872 * [taylor]: Taking taylor expansion of (exp im) in im 0.872 * [taylor]: Taking taylor expansion of im in im 0.875 * [approximate]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in (im) around 0 0.875 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 0.875 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.875 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.875 * [taylor]: Taking taylor expansion of im in im 0.875 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 0.875 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.875 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.875 * [taylor]: Taking taylor expansion of im in im 0.878 * [approximate]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in (im) around 0 0.878 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in im 0.878 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.878 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.878 * [taylor]: Taking taylor expansion of -1 in im 0.878 * [taylor]: Taking taylor expansion of im in im 0.878 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in im 0.878 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.878 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.878 * [taylor]: Taking taylor expansion of -1 in im 0.878 * [taylor]: Taking taylor expansion of im in im 0.880 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.880 * [approximate]: Taking taylor expansion of (+ (/ 1 (exp im)) (exp im)) in (im) around 0 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp im)) (exp im)) in im 0.880 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.880 * [taylor]: Taking taylor expansion of (exp im) in im 0.880 * [taylor]: Taking taylor expansion of im in im 0.881 * [taylor]: Taking taylor expansion of (exp im) in im 0.881 * [taylor]: Taking taylor expansion of im in im 0.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp im)) (exp im)) in im 0.881 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.881 * [taylor]: Taking taylor expansion of (exp im) in im 0.881 * [taylor]: Taking taylor expansion of im in im 0.881 * [taylor]: Taking taylor expansion of (exp im) in im 0.881 * [taylor]: Taking taylor expansion of im in im 0.895 * [approximate]: Taking taylor expansion of (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) in im 0.895 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 0.895 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.895 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.895 * [taylor]: Taking taylor expansion of im in im 0.895 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.895 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.895 * [taylor]: Taking taylor expansion of im in im 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) in im 0.896 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 0.896 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.896 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.896 * [taylor]: Taking taylor expansion of im in im 0.896 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.896 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.896 * [taylor]: Taking taylor expansion of im in im 0.900 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) in (im) around 0 0.900 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) 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 -1 in im 0.900 * [taylor]: Taking taylor expansion of im in im 0.900 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) 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 -1 in im 0.900 * [taylor]: Taking taylor expansion of im in im 0.900 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) 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 -1 in im 0.900 * [taylor]: Taking taylor expansion of im in im 0.901 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in im 0.901 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.901 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.901 * [taylor]: Taking taylor expansion of -1 in im 0.901 * [taylor]: Taking taylor expansion of im in im 0.904 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.904 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 (exp im)) (exp im)) (cos re))) in (re im) around 0 0.904 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 (exp im)) (exp im)) (cos re))) in im 0.905 * [taylor]: Taking taylor expansion of 0.5 in im 0.905 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (exp im)) (exp im)) (cos re)) in im 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp im)) (exp im)) in im 0.905 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.905 * [taylor]: Taking taylor expansion of (exp im) in im 0.905 * [taylor]: Taking taylor expansion of im in im 0.905 * [taylor]: Taking taylor expansion of (exp im) in im 0.905 * [taylor]: Taking taylor expansion of im in im 0.905 * [taylor]: Taking taylor expansion of (cos re) in im 0.905 * [taylor]: Taking taylor expansion of re in im 0.905 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 (exp im)) (exp im)) (cos re))) in re 0.905 * [taylor]: Taking taylor expansion of 0.5 in re 0.905 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (exp im)) (exp im)) (cos re)) in re 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp im)) (exp im)) in re 0.905 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in re 0.905 * [taylor]: Taking taylor expansion of (exp im) in re 0.905 * [taylor]: Taking taylor expansion of im in re 0.905 * [taylor]: Taking taylor expansion of (exp im) in re 0.905 * [taylor]: Taking taylor expansion of im in re 0.905 * [taylor]: Taking taylor expansion of (cos re) in re 0.905 * [taylor]: Taking taylor expansion of re in re 0.905 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 (exp im)) (exp im)) (cos re))) in re 0.905 * [taylor]: Taking taylor expansion of 0.5 in re 0.905 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (exp im)) (exp im)) (cos re)) in re 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp im)) (exp im)) in re 0.905 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in re 0.905 * [taylor]: Taking taylor expansion of (exp im) in re 0.905 * [taylor]: Taking taylor expansion of im in re 0.905 * [taylor]: Taking taylor expansion of (exp im) in re 0.905 * [taylor]: Taking taylor expansion of im in re 0.905 * [taylor]: Taking taylor expansion of (cos re) in re 0.906 * [taylor]: Taking taylor expansion of re in re 0.906 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 (exp im)) (exp im))) in im 0.906 * [taylor]: Taking taylor expansion of 0.5 in im 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp im)) (exp im)) in im 0.906 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.906 * [taylor]: Taking taylor expansion of (exp im) in im 0.906 * [taylor]: Taking taylor expansion of im in im 0.906 * [taylor]: Taking taylor expansion of (exp im) in im 0.906 * [taylor]: Taking taylor expansion of im in im 0.909 * [taylor]: Taking taylor expansion of 0 in im 0.914 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 0.914 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 0.914 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.914 * [taylor]: Taking taylor expansion of 0.25 in im 0.915 * [taylor]: Taking taylor expansion of (/ 1 (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 (* 0.25 (exp im)) in im 0.915 * [taylor]: Taking taylor expansion of 0.25 in im 0.915 * [taylor]: Taking taylor expansion of (exp im) in im 0.915 * [taylor]: Taking taylor expansion of im in im 0.920 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.921 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))))) in im 0.921 * [taylor]: Taking taylor expansion of 0.5 in im 0.921 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) in im 0.921 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.921 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.921 * [taylor]: Taking taylor expansion of re in im 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) in im 0.921 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 0.921 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.921 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.921 * [taylor]: Taking taylor expansion of im in im 0.921 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.921 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.921 * [taylor]: Taking taylor expansion of im in im 0.921 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))))) in re 0.922 * [taylor]: Taking taylor expansion of 0.5 in re 0.922 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) in re 0.922 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.922 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.922 * [taylor]: Taking taylor expansion of re in re 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) in re 0.922 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in re 0.922 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.922 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.922 * [taylor]: Taking taylor expansion of im in re 0.922 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.922 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.922 * [taylor]: Taking taylor expansion of im in re 0.922 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))))) in re 0.922 * [taylor]: Taking taylor expansion of 0.5 in re 0.922 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) in re 0.922 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.922 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.922 * [taylor]: Taking taylor expansion of re in re 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) in re 0.923 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in re 0.923 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.923 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.923 * [taylor]: Taking taylor expansion of im in re 0.923 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.923 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.923 * [taylor]: Taking taylor expansion of im in re 0.923 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))))) in im 0.923 * [taylor]: Taking taylor expansion of 0.5 in im 0.923 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) in im 0.923 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.923 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.923 * [taylor]: Taking taylor expansion of re in im 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) in im 0.923 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 0.923 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.923 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.923 * [taylor]: Taking taylor expansion of im in im 0.924 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.924 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.924 * [taylor]: Taking taylor expansion of im in im 0.931 * [taylor]: Taking taylor expansion of 0 in im 0.936 * [taylor]: Taking taylor expansion of 0 in im 0.944 * [taylor]: Taking taylor expansion of 0 in im 0.945 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) (cos (/ -1 re)))) in (re im) around 0 0.945 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) (cos (/ -1 re)))) in im 0.945 * [taylor]: Taking taylor expansion of 0.5 in im 0.945 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) (cos (/ -1 re))) in im 0.945 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) in im 0.945 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.945 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.945 * [taylor]: Taking taylor expansion of -1 in im 0.945 * [taylor]: Taking taylor expansion of im in im 0.945 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in im 0.945 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.945 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.945 * [taylor]: Taking taylor expansion of -1 in im 0.945 * [taylor]: Taking taylor expansion of im in im 0.946 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.946 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.946 * [taylor]: Taking taylor expansion of -1 in im 0.946 * [taylor]: Taking taylor expansion of re in im 0.946 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) (cos (/ -1 re)))) in re 0.946 * [taylor]: Taking taylor expansion of 0.5 in re 0.946 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) (cos (/ -1 re))) in re 0.946 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (/ 1 (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 in re 0.946 * [taylor]: Taking taylor expansion of im in re 0.946 * [taylor]: Taking taylor expansion of (/ 1 (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 in re 0.946 * [taylor]: Taking taylor expansion of im in re 0.946 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.946 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.946 * [taylor]: Taking taylor expansion of -1 in re 0.946 * [taylor]: Taking taylor expansion of re in re 0.946 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) (cos (/ -1 re)))) in re 0.947 * [taylor]: Taking taylor expansion of 0.5 in re 0.947 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) (cos (/ -1 re))) in re 0.947 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) in re 0.947 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.947 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.947 * [taylor]: Taking taylor expansion of -1 in re 0.947 * [taylor]: Taking taylor expansion of im in re 0.947 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in re 0.947 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.947 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.947 * [taylor]: Taking taylor expansion of -1 in re 0.947 * [taylor]: Taking taylor expansion of im in re 0.947 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.947 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.947 * [taylor]: Taking taylor expansion of -1 in re 0.947 * [taylor]: Taking taylor expansion of re in re 0.948 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) (cos (/ -1 re)))) in im 0.948 * [taylor]: Taking taylor expansion of 0.5 in im 0.948 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) (cos (/ -1 re))) in im 0.948 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (/ 1 (exp (/ -1 im)))) in im 0.948 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.948 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.948 * [taylor]: Taking taylor expansion of -1 in im 0.948 * [taylor]: Taking taylor expansion of im in im 0.948 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in im 0.948 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.948 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.948 * [taylor]: Taking taylor expansion of -1 in im 0.948 * [taylor]: Taking taylor expansion of im in im 0.949 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.949 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.949 * [taylor]: Taking taylor expansion of -1 in im 0.949 * [taylor]: Taking taylor expansion of re in im 0.952 * [taylor]: Taking taylor expansion of 0 in im 0.957 * [taylor]: Taking taylor expansion of 0 in im 0.965 * [taylor]: Taking taylor expansion of 0 in im 0.965 * * * [progress]: simplifying candidates 0.966 * [simplify]: Simplifying using # : (- 1) (- (cbrt im)) (- (sqrt im)) (- im) (- im) (- 0 im) (- (log 1) im) (log (/ 1 (exp im))) (exp (/ 1 (exp im))) (/ (* (* 1 1) 1) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ 1 (exp im))) (cbrt (/ 1 (exp im)))) (cbrt (/ 1 (exp im))) (* (* (/ 1 (exp im)) (/ 1 (exp im))) (/ 1 (exp im))) (sqrt (/ 1 (exp im))) (sqrt (/ 1 (exp im))) (- 1) (- (exp im)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 1) (cbrt (exp im))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (exp im))) (/ (cbrt 1) (sqrt (exp im))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (exp im)) (/ (sqrt 1) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 1) (cbrt (exp im))) (/ (sqrt 1) (sqrt (exp im))) (/ (sqrt 1) (sqrt (exp im))) (/ (sqrt 1) 1) (/ (sqrt 1) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 1 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 1 (sqrt (exp im))) (/ 1 1) (/ 1 (exp im)) (/ 1 (exp im)) (/ (exp im) 1) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 1 (sqrt (exp im))) (/ 1 1) (/ (exp im) (cbrt 1)) (/ (exp im) (sqrt 1)) (/ (exp im) 1) (* (exp (/ 1 (exp im))) (exp (exp im))) (log (+ (/ 1 (exp im)) (exp im))) (exp (+ (/ 1 (exp im)) (exp im))) (* (cbrt (+ (/ 1 (exp im)) (exp im))) (cbrt (+ (/ 1 (exp im)) (exp im)))) (cbrt (+ (/ 1 (exp im)) (exp im))) (* (* (+ (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im))) (+ (/ 1 (exp im)) (exp im))) (sqrt (+ (/ 1 (exp im)) (exp im))) (sqrt (+ (/ 1 (exp im)) (exp im))) (+ (pow (/ 1 (exp im)) 3) (pow (exp im) 3)) (+ (* (/ 1 (exp im)) (/ 1 (exp im))) (- (* (exp im) (exp im)) (* (/ 1 (exp im)) (exp im)))) (- (* (/ 1 (exp im)) (/ 1 (exp im))) (* (exp im) (exp im))) (- (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im)) (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im))) (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (+ (/ 1 (exp im)) (exp im)))) (+ (log (* 0.5 (cos re))) (log (+ (/ 1 (exp im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im))) (+ (/ 1 (exp im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im))) (+ (/ 1 (exp im)) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im))) (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (* (* 0.5 (cos re)) (/ 1 (exp im))) (* (* 0.5 (cos re)) (exp im)) (* (/ 1 (exp im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (/ 1 (exp im)) (exp im))) (cbrt (+ (/ 1 (exp im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (/ 1 (exp im)) (exp im)))) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (/ 1 (exp im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (/ 1 (exp im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (/ 1 (exp im)) (/ 1 (exp im))) (* (exp im) (exp im)))) (- (+ (* 1/2 (pow im 2)) 1) im) (/ 1 (exp im)) (/ 1 (exp im)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (+ (/ 1 (exp im)) (exp im)) (cos re))) (* 0.5 (* (+ (/ 1 (exp im)) (exp im)) (cos re))) 0.971 * * [simplify]: iteration 0 : 311 enodes (cost 488 ) 0.978 * * [simplify]: iteration 1 : 1667 enodes (cost 405 ) 1.016 * * [simplify]: iteration 2 : 5001 enodes (cost 405 ) 1.018 * [simplify]: Simplified to: (- 1) (- (cbrt im)) (- (pow im 1/2)) (- 0 im) (- 0 im) (- 0 im) (- 0 im) (- 0 im) (exp (/ 1 (exp im))) (pow (/ 1 (exp im)) 3) (* (cbrt (/ 1 (exp im))) (cbrt (/ 1 (exp im)))) (cbrt (/ 1 (exp im))) (pow (/ 1 (exp im)) 3) (sqrt (/ 1 (exp im))) (sqrt (/ 1 (exp im))) (- 1) (- (exp im)) (/ (/ 1 (cbrt (exp im))) (cbrt (exp im))) (/ 1 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 1 (sqrt (exp im))) 1 (/ 1 (exp im)) (/ (/ 1 (cbrt (exp im))) (cbrt (exp im))) (/ 1 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 1 (sqrt (exp im))) 1 (/ 1 (exp im)) (/ (/ 1 (cbrt (exp im))) (cbrt (exp im))) (/ 1 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 1 (sqrt (exp im))) 1 (/ 1 (exp im)) (/ 1 (exp im)) (exp im) (/ (/ 1 (cbrt (exp im))) (cbrt (exp im))) (/ 1 (sqrt (exp im))) 1 (exp im) (exp im) (exp im) (exp (+ (/ 1 (exp im)) (exp im))) (log (+ (/ 1 (exp im)) (exp im))) (exp (+ (/ 1 (exp im)) (exp im))) (* (cbrt (+ (/ 1 (exp im)) (exp im))) (cbrt (+ (/ 1 (exp im)) (exp im)))) (cbrt (+ (/ 1 (exp im)) (exp im))) (pow (+ (/ 1 (exp im)) (exp im)) 3) (sqrt (+ (/ 1 (exp im)) (exp im))) (sqrt (+ (/ 1 (exp im)) (exp im))) (+ (pow (/ 1 (exp im)) 3) (pow (exp im) 3)) (- (exp (+ im im)) (- 1 (/ 1 (exp (+ im im))))) (+ (- (exp (+ im im))) (/ 1 (exp (+ im im)))) (- (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im)) (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im))) (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im))) (log (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im))) 3) (pow (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im))) 3) (* (cbrt (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im))) 3) (sqrt (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (/ 1 (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 (+ (/ 1 (exp im)) (exp im))) (cbrt (+ (/ 1 (exp im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (/ 1 (exp im)) (exp im)))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (cos re) (+ (/ 1 (exp im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (/ 1 (exp im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (/ 1 (exp im)) (/ 1 (exp im))) (* (exp im) (exp im)))) (- (+ (* 1/2 (pow im 2)) 1) im) (/ 1 (exp im)) (/ 1 (exp im)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im))) (* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im))) 1.018 * * * [progress]: adding candidates to table 1.156 * [progress]: [Phase 3 of 3] Extracting. 1.156 * * [regime]: Finding splitpoints for: (# #) 1.157 * * * [regime-changes]: Trying 4 branch expressions: ((cos re) (* 0.5 (cos re)) im re) 1.157 * * * * [regimes]: Trying to branch on (cos re) from (# #) 1.170 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 1.187 * * * * [regimes]: Trying to branch on im from (# #) 1.199 * * * * [regimes]: Trying to branch on re from (# #) 1.210 * * * [regime]: Found split indices: #