7.093 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.118 * * * [progress]: [2/2] Setting up program. 0.121 * [progress]: [Phase 2 of 3] Improving. 0.121 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.124 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.125 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.127 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.129 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.132 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.136 * * [simplify]: iteration 5 : 629 enodes (cost 7 ) 0.144 * * [simplify]: iteration 6 : 1415 enodes (cost 7 ) 0.156 * * [simplify]: iteration 7 : 2148 enodes (cost 7 ) 0.195 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.195 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.195 * * [progress]: iteration 1 / 4 0.196 * * * [progress]: picking best candidate 0.198 * * * * [pick]: Picked # 0.198 * * * [progress]: localizing error 0.208 * * * [progress]: generating rewritten candidates 0.208 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.216 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.244 * * * [progress]: generating series expansions 0.244 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.244 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.244 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) 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 (exp (- im)) in im 0.244 * [taylor]: Taking taylor expansion of (- im) in im 0.244 * [taylor]: Taking taylor expansion of im in im 0.245 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.245 * [taylor]: Taking taylor expansion of (exp im) in im 0.245 * [taylor]: Taking taylor expansion of im in im 0.245 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.245 * [taylor]: Taking taylor expansion of (- im) in im 0.245 * [taylor]: Taking taylor expansion of im in im 0.260 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.260 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.260 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.260 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.260 * [taylor]: Taking taylor expansion of im in im 0.261 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.261 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.264 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.264 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.264 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.264 * [taylor]: Taking taylor expansion of im in im 0.265 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.265 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.267 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.267 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.267 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.267 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.267 * [taylor]: Taking taylor expansion of -1 in im 0.267 * [taylor]: Taking taylor expansion of im in im 0.268 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.268 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.268 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.268 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.268 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.268 * [taylor]: Taking taylor expansion of -1 in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.269 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.269 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.269 * [taylor]: Taking taylor expansion of im in im 0.271 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.271 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.271 * [taylor]: Taking taylor expansion of 0.5 in im 0.271 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.271 * [taylor]: Taking taylor expansion of (cos re) in im 0.271 * [taylor]: Taking taylor expansion of re in im 0.271 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.271 * [taylor]: Taking taylor expansion of (exp im) in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.271 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.271 * [taylor]: Taking taylor expansion of (- im) in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.272 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.272 * [taylor]: Taking taylor expansion of 0.5 in re 0.272 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.272 * [taylor]: Taking taylor expansion of (cos re) in re 0.272 * [taylor]: Taking taylor expansion of re in re 0.272 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.272 * [taylor]: Taking taylor expansion of (exp im) in re 0.272 * [taylor]: Taking taylor expansion of im in re 0.272 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.272 * [taylor]: Taking taylor expansion of (- im) in re 0.272 * [taylor]: Taking taylor expansion of im in re 0.272 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.272 * [taylor]: Taking taylor expansion of 0.5 in re 0.272 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.272 * [taylor]: Taking taylor expansion of (cos re) in re 0.272 * [taylor]: Taking taylor expansion of re in re 0.272 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.272 * [taylor]: Taking taylor expansion of (exp im) in re 0.272 * [taylor]: Taking taylor expansion of im in re 0.272 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.272 * [taylor]: Taking taylor expansion of (- im) in re 0.272 * [taylor]: Taking taylor expansion of im in re 0.272 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.272 * [taylor]: Taking taylor expansion of 0.5 in im 0.272 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.272 * [taylor]: Taking taylor expansion of (exp im) in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.272 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.272 * [taylor]: Taking taylor expansion of (- im) in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.276 * [taylor]: Taking taylor expansion of 0 in im 0.282 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.282 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.282 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.282 * [taylor]: Taking taylor expansion of 0.25 in im 0.282 * [taylor]: Taking taylor expansion of (exp im) in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.282 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.282 * [taylor]: Taking taylor expansion of 0.25 in im 0.282 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.282 * [taylor]: Taking taylor expansion of (- im) in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.288 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.288 * [taylor]: Taking taylor expansion of 0.5 in im 0.288 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.288 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.288 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.288 * [taylor]: Taking taylor expansion of re 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 im) in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.289 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.289 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.289 * [taylor]: Taking taylor expansion of im in im 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.289 * [taylor]: Taking taylor expansion of 0.5 in re 0.289 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.289 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.289 * [taylor]: Taking taylor expansion of re in re 0.289 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.289 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.289 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.289 * [taylor]: Taking taylor expansion of im in re 0.290 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.290 * [taylor]: Taking taylor expansion of im in re 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.290 * [taylor]: Taking taylor expansion of 0.5 in re 0.290 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.290 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.290 * [taylor]: Taking taylor expansion of re in re 0.290 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.290 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.290 * [taylor]: Taking taylor expansion of im in re 0.290 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.290 * [taylor]: Taking taylor expansion of im in re 0.291 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.291 * [taylor]: Taking taylor expansion of 0.5 in im 0.291 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.291 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.291 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.291 * [taylor]: Taking taylor expansion of re in im 0.291 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.291 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.291 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.291 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.291 * [taylor]: Taking taylor expansion of im in im 0.291 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.292 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.295 * [taylor]: Taking taylor expansion of 0 in im 0.301 * [taylor]: Taking taylor expansion of 0 in im 0.309 * [taylor]: Taking taylor expansion of 0 in im 0.309 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.309 * [taylor]: Taking taylor expansion of 0.5 in im 0.309 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.309 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.309 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.309 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.309 * [taylor]: Taking taylor expansion of -1 in im 0.309 * [taylor]: Taking taylor expansion of im in im 0.310 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.310 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.310 * [taylor]: Taking taylor expansion of im in im 0.310 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.310 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.310 * [taylor]: Taking taylor expansion of -1 in im 0.310 * [taylor]: Taking taylor expansion of re in im 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.310 * [taylor]: Taking taylor expansion of 0.5 in re 0.310 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.310 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.310 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.310 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.310 * [taylor]: Taking taylor expansion of -1 in re 0.310 * [taylor]: Taking taylor expansion of im in re 0.310 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.310 * [taylor]: Taking taylor expansion of im in re 0.310 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.310 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.311 * [taylor]: Taking taylor expansion of -1 in re 0.311 * [taylor]: Taking taylor expansion of re in re 0.311 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.311 * [taylor]: Taking taylor expansion of 0.5 in re 0.311 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.311 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.311 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.311 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.311 * [taylor]: Taking taylor expansion of -1 in re 0.311 * [taylor]: Taking taylor expansion of im in re 0.311 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.311 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.311 * [taylor]: Taking taylor expansion of im in re 0.311 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.311 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.311 * [taylor]: Taking taylor expansion of -1 in re 0.311 * [taylor]: Taking taylor expansion of re in re 0.312 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.312 * [taylor]: Taking taylor expansion of 0.5 in im 0.312 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.312 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.312 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.312 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.312 * [taylor]: Taking taylor expansion of -1 in im 0.312 * [taylor]: Taking taylor expansion of im in im 0.312 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.312 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.312 * [taylor]: Taking taylor expansion of im in im 0.313 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.313 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.313 * [taylor]: Taking taylor expansion of -1 in im 0.313 * [taylor]: Taking taylor expansion of re in im 0.315 * [taylor]: Taking taylor expansion of 0 in im 0.321 * [taylor]: Taking taylor expansion of 0 in im 0.328 * [taylor]: Taking taylor expansion of 0 in im 0.328 * * * [progress]: simplifying candidates 0.329 * [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))) 0.333 * * [simplify]: iteration 0 : 249 enodes (cost 347 ) 0.339 * * [simplify]: iteration 1 : 1229 enodes (cost 286 ) 0.365 * * [simplify]: iteration 2 : 5001 enodes (cost 284 ) 0.367 * [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))) 0.367 * * * [progress]: adding candidates to table 0.458 * * [progress]: iteration 2 / 4 0.458 * * * [progress]: picking best candidate 0.468 * * * * [pick]: Picked # 0.468 * * * [progress]: localizing error 0.490 * * * [progress]: generating rewritten candidates 0.490 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.497 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.502 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.504 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.515 * * * [progress]: generating series expansions 0.515 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.515 * [approximate]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in (im) around 0 0.515 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 0.515 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.515 * [taylor]: Taking taylor expansion of (exp im) in im 0.515 * [taylor]: Taking taylor expansion of im in im 0.515 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.515 * [taylor]: Taking taylor expansion of (exp im) in im 0.515 * [taylor]: Taking taylor expansion of im in im 0.515 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.515 * [taylor]: Taking taylor expansion of (- im) in im 0.515 * [taylor]: Taking taylor expansion of im in im 0.516 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 0.516 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.516 * [taylor]: Taking taylor expansion of (exp im) in im 0.516 * [taylor]: Taking taylor expansion of im in im 0.516 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.516 * [taylor]: Taking taylor expansion of (exp im) in im 0.516 * [taylor]: Taking taylor expansion of im in im 0.516 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.516 * [taylor]: Taking taylor expansion of (- im) in im 0.516 * [taylor]: Taking taylor expansion of im in im 0.533 * [approximate]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 0.533 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.533 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.533 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.533 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.533 * [taylor]: Taking taylor expansion of im in im 0.533 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.533 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.533 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.533 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.533 * [taylor]: Taking taylor expansion of im in im 0.534 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.534 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.534 * [taylor]: Taking taylor expansion of im in im 0.534 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.534 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.534 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.534 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.534 * [taylor]: Taking taylor expansion of im in im 0.534 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.534 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.534 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.535 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.535 * [taylor]: Taking taylor expansion of im in im 0.535 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.535 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.535 * [taylor]: Taking taylor expansion of im in im 0.547 * [approximate]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 0.547 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.548 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.548 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.548 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.548 * [taylor]: Taking taylor expansion of -1 in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.548 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 0.548 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.548 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.548 * [taylor]: Taking taylor expansion of -1 in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.548 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.548 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.549 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.549 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.549 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.549 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.549 * [taylor]: Taking taylor expansion of -1 in im 0.549 * [taylor]: Taking taylor expansion of im in im 0.549 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 0.549 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.549 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.549 * [taylor]: Taking taylor expansion of -1 in im 0.549 * [taylor]: Taking taylor expansion of im in im 0.549 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.550 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.550 * [taylor]: Taking taylor expansion of im in im 0.561 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.562 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 3) in (im) around 0 0.562 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.562 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.562 * [taylor]: Taking taylor expansion of (- im) in im 0.562 * [taylor]: Taking taylor expansion of im in im 0.562 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.562 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.562 * [taylor]: Taking taylor expansion of (- im) in im 0.562 * [taylor]: Taking taylor expansion of im in im 0.568 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in (im) around 0 0.568 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.568 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.568 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.568 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.568 * [taylor]: Taking taylor expansion of im in im 0.568 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.568 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.568 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.568 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.568 * [taylor]: Taking taylor expansion of im in im 0.582 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.582 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.582 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.582 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.582 * [taylor]: Taking taylor expansion of im in im 0.582 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.582 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.582 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.582 * [taylor]: Taking taylor expansion of im in im 0.591 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.592 * [approximate]: Taking taylor expansion of (pow (exp im) 3) in (im) around 0 0.592 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.592 * [taylor]: Taking taylor expansion of (exp im) in im 0.592 * [taylor]: Taking taylor expansion of im in im 0.592 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.592 * [taylor]: Taking taylor expansion of (exp im) in im 0.592 * [taylor]: Taking taylor expansion of im in im 0.595 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.595 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.595 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.595 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.595 * [taylor]: Taking taylor expansion of im in im 0.596 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.596 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.596 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.596 * [taylor]: Taking taylor expansion of im in im 0.605 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in (im) around 0 0.605 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.605 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.605 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.605 * [taylor]: Taking taylor expansion of -1 in im 0.605 * [taylor]: Taking taylor expansion of im in im 0.605 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.605 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.605 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.605 * [taylor]: Taking taylor expansion of -1 in im 0.605 * [taylor]: Taking taylor expansion of im in im 0.615 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.615 * [approximate]: Taking taylor expansion of (pow (exp im) 2) in (im) around 0 0.615 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.615 * [taylor]: Taking taylor expansion of (exp im) in im 0.615 * [taylor]: Taking taylor expansion of im in im 0.615 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.615 * [taylor]: Taking taylor expansion of (exp im) in im 0.615 * [taylor]: Taking taylor expansion of im in im 0.618 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in (im) around 0 0.618 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.618 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.618 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.618 * [taylor]: Taking taylor expansion of im in im 0.618 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.618 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.618 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.618 * [taylor]: Taking taylor expansion of im in im 0.623 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in (im) around 0 0.623 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.623 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.623 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.623 * [taylor]: Taking taylor expansion of -1 in im 0.623 * [taylor]: Taking taylor expansion of im in im 0.624 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.624 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.624 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.624 * [taylor]: Taking taylor expansion of -1 in im 0.624 * [taylor]: Taking taylor expansion of im in im 0.628 * * * [progress]: simplifying candidates 0.630 * [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)) (+ (* (* (exp im) (exp im)) (* (exp im) (exp im))) (+ (* (* (exp (- im)) (exp im)) (* (exp (- im)) (exp im))) (* (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (- (* (exp (- im)) (exp im))) (- (* (* (exp im) (exp im)) (* (exp im) (exp im))) (* (* (exp (- im)) (exp im)) (* (exp (- im)) (exp im)))) (+ (* (exp im) (exp im)) (* (exp (- im)) (exp im))) (- (exp im) (exp (- im))) (- (* (exp (- im)) (exp im))) (* (- im) 3) (* (log (exp (- im))) 3) (* 1 3) (* (cbrt (- im)) 3) (* (sqrt (- im)) 3) (* (- im) 3) (* im 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (* (- (cbrt im)) 3) (* (- (sqrt im)) 3) (* (- im) 3) (pow (exp (- im)) (* (cbrt 3) (cbrt 3))) (pow (exp (- im)) (sqrt 3)) (pow (exp (- im)) 1) (pow (* (cbrt (exp (- im))) (cbrt (exp (- im)))) 3) (pow (cbrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow 1 3) (pow (exp (- im)) 3) (* (exp (- im)) (exp (- im))) (log (pow (exp (- im)) 3)) (exp (pow (exp (- im)) 3)) (* (cbrt (pow (exp (- im)) 3)) (cbrt (pow (exp (- im)) 3))) (cbrt (pow (exp (- im)) 3)) (* (* (pow (exp (- im)) 3) (pow (exp (- im)) 3)) (pow (exp (- im)) 3)) (pow (* (cbrt (exp (- im))) (cbrt (exp (- im)))) 3) (pow (cbrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow 1 3) (pow (exp (- im)) 3) (pow 1 3) (pow (exp im) 3) (pow (exp 0) 3) (pow (exp im) 3) (* (exp (- im)) (exp (- im))) (sqrt (pow (exp (- im)) 3)) (sqrt (pow (exp (- im)) 3)) (pow (exp (- im)) (/ 3 2)) (pow (exp (- im)) (/ 3 2)) (* im 3) (* (log (exp im)) 3) (* 1 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (pow (exp im) 1) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (log (pow (exp im) 3)) (exp (pow (exp im) 3)) (* (cbrt (pow (exp im) 3)) (cbrt (pow (exp im) 3))) (cbrt (pow (exp im) 3)) (* (* (pow (exp im) 3) (pow (exp im) 3)) (pow (exp im) 3)) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) (/ 3 2)) (pow (exp im) (/ 3 2)) (+ 1 1) (+ (cbrt im) (cbrt im)) (+ (sqrt im) (sqrt im)) (+ im im) (* (exp im) (exp im)) (* (exp (* (cbrt im) (cbrt im))) (exp (* (cbrt im) (cbrt im)))) (* (exp (sqrt im)) (exp (sqrt im))) (* (exp 1) (exp 1)) (+ 1 1) (+ im im) (log (* (exp im) (exp im))) (exp (* (exp im) (exp im))) (* (* (* (exp im) (exp im)) (exp im)) (* (* (exp im) (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))) (* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (cbrt (exp im)) (cbrt (exp im))) (* (sqrt (exp im)) (sqrt (exp im))) (* (sqrt (exp im)) (sqrt (exp im))) (* 1 1) (* (exp im) (exp im)) (* (sqrt (exp im)) (sqrt (exp im))) (* (sqrt (exp im)) (sqrt (exp im))) (* 2 1) (* 2 (cbrt im)) (* 2 (sqrt im)) (* 2 im) (* (exp im) (* (cbrt (exp im)) (cbrt (exp im)))) (* (exp im) (sqrt (exp im))) (* (exp im) 1) (* (cbrt (exp im)) (exp im)) (* (sqrt (exp im)) (exp im)) (* (exp im) (exp im)) (+ (* 4/3 (pow im 3)) (+ (* 2 (pow im 2)) (* 2 im))) (- (pow (exp im) 2) (* (exp im) (exp (- im)))) (- (pow (exp im) 2) (* (exp (* -1 im)) (exp im))) (- (+ (* 9/2 (pow im 2)) 1) (* 3 im)) (pow (exp (- im)) 3) (pow (exp (* -1 im)) 3) (+ (* 3 im) (+ (* 9/2 (pow im 2)) 1)) (pow (exp im) 3) (pow (exp im) 3) (+ (* 2 im) (+ (* 2 (pow im 2)) 1)) (pow (exp im) 2) (pow (exp im) 2) 0.636 * * [simplify]: iteration 0 : 364 enodes (cost 469 ) 0.645 * * [simplify]: iteration 1 : 2073 enodes (cost 398 ) 0.747 * * [simplify]: iteration 2 : 5003 enodes (cost 361 ) 0.749 * [simplify]: Simplified to: (exp (- (pow (exp im) 2) 1)) (+ im (log (- (exp im) (exp (- im))))) (exp (- (pow (exp im) 2) 1)) (* (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)))) (pow (* (exp im) (- (exp im) (exp (- im)))) 3) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (+ (pow (exp im) 6) (- (pow (* (exp (- im)) (exp im)) 3))) (+ (* (pow (exp im) 2) 1) (* (pow (exp im) 2) (+ (pow (exp im) 2) (pow (exp (- im)) 2)))) (- 1) (+ (* (- (exp (+ im (- im)))) 1) (pow (exp im) 4)) (+ 1 (pow (exp im) 2)) (- (exp im) (exp (- im))) (- 1) (* -3 im) (* -3 im) 3 (* (cbrt (- im)) 3) (* (sqrt (- im)) 3) (* -3 im) (* im 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (* (- (cbrt im)) 3) (* (- (sqrt im)) 3) (* -3 im) (pow (exp (- im)) (* (cbrt 3) (cbrt 3))) (pow (exp (- im)) (sqrt 3)) (exp (- im)) (pow (exp im) -2) (exp (- im)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) 1 (exp (* -3 im)) (pow (exp im) -2) (* -3 im) (exp (exp (* -3 im))) (pow (exp im) -2) (exp (- im)) (pow (pow (exp (* -1 im)) 3) 3) (pow (exp im) -2) (exp (- im)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) 1 (exp (* -3 im)) 1 (pow (exp im) 3) 1 (pow (exp im) 3) (pow (exp im) -2) (sqrt (pow (exp (- im)) 3)) (sqrt (pow (exp (- im)) 3)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) (* im 3) (* im 3) 3 (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (exp im) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (* im 3) (exp (pow (exp im) 3)) (pow (exp im) 2) (exp im) (pow (pow (exp im) 3) 3) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) 3/2) (pow (exp im) 3/2) 2 (* 2 (cbrt im)) (* 2 (sqrt im)) (+ im im) (pow (exp im) 2) (pow (exp (cbrt im)) (* 2 (cbrt im))) (exp (* 2 (sqrt im))) (exp 2) 2 (+ im im) (+ im im) (exp (pow (exp im) 2)) (pow (exp im) 6) (pow (cbrt (exp im)) 4) (cbrt (* (exp im) (exp im))) (pow (exp im) 6) (fabs (exp im)) (fabs (exp im)) (pow (cbrt (exp im)) 4) (cbrt (* (exp im) (exp im))) (exp im) (exp im) 1 (pow (exp im) 2) (exp im) (exp im) 2 (* 2 (cbrt im)) (* 2 (sqrt im)) (+ im im) (pow (cbrt (exp im)) 5) (pow (exp im) 3/2) (exp im) (pow (cbrt (exp im)) 4) (pow (exp im) 3/2) (pow (exp im) 2) (+ (* 2 (+ (pow im 2) im)) (* 4/3 (pow im 3))) (- (pow (exp im) 2) 1) (- (pow (exp im) 2) 1) (- (+ (* 9/2 (pow im 2)) 1) (* 3 im)) (exp (* -3 im)) (exp (* -3 im)) (+ (* 3 im) (+ (* 9/2 (pow im 2)) 1)) (pow (exp im) 3) (pow (exp im) 3) (+ 1 (* 2 (+ (pow im 2) im))) (pow (exp im) 2) (pow (exp im) 2) 0.750 * * * [progress]: adding candidates to table 1.107 * * [progress]: iteration 3 / 4 1.107 * * * [progress]: picking best candidate 1.113 * * * * [pick]: Picked # 1.114 * * * [progress]: localizing error 1.126 * * * [progress]: generating rewritten candidates 1.127 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.141 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.189 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 1.197 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.226 * * * [progress]: generating series expansions 1.226 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.226 * [approximate]: Taking taylor expansion of (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in (re im) around 0 1.226 * [taylor]: Taking taylor expansion of (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in im 1.226 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 1.226 * [taylor]: Taking taylor expansion of 0.5 in im 1.227 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 1.227 * [taylor]: Taking taylor expansion of (cos re) in im 1.227 * [taylor]: Taking taylor expansion of re in im 1.227 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.227 * [taylor]: Taking taylor expansion of (exp im) in im 1.227 * [taylor]: Taking taylor expansion of im in im 1.227 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.227 * [taylor]: Taking taylor expansion of (- im) in im 1.227 * [taylor]: Taking taylor expansion of im in im 1.228 * [taylor]: Taking taylor expansion of (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re 1.228 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.228 * [taylor]: Taking taylor expansion of 0.5 in re 1.228 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.228 * [taylor]: Taking taylor expansion of (cos re) in re 1.228 * [taylor]: Taking taylor expansion of re in re 1.228 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.228 * [taylor]: Taking taylor expansion of (exp im) in re 1.228 * [taylor]: Taking taylor expansion of im in re 1.228 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.228 * [taylor]: Taking taylor expansion of (- im) in re 1.228 * [taylor]: Taking taylor expansion of im in re 1.229 * [taylor]: Taking taylor expansion of (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re 1.229 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.229 * [taylor]: Taking taylor expansion of 0.5 in re 1.229 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.229 * [taylor]: Taking taylor expansion of (cos re) in re 1.229 * [taylor]: Taking taylor expansion of re in re 1.229 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.229 * [taylor]: Taking taylor expansion of (exp im) in re 1.229 * [taylor]: Taking taylor expansion of im in re 1.229 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.229 * [taylor]: Taking taylor expansion of (- im) in re 1.229 * [taylor]: Taking taylor expansion of im in re 1.229 * [taylor]: Taking taylor expansion of (log (* 0.5 (+ (exp im) (exp (- im))))) in im 1.229 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 1.229 * [taylor]: Taking taylor expansion of 0.5 in im 1.229 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.229 * [taylor]: Taking taylor expansion of (exp im) in im 1.229 * [taylor]: Taking taylor expansion of im in im 1.229 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.229 * [taylor]: Taking taylor expansion of (- im) in im 1.229 * [taylor]: Taking taylor expansion of im in im 1.236 * [taylor]: Taking taylor expansion of 0 in im 1.244 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1.0 (/ (exp (- im)) (+ (exp im) (exp (- im))))) (* 1.0 (/ (exp im) (+ (exp im) (exp (- im))))))) in im 1.244 * [taylor]: Taking taylor expansion of -1/2 in im 1.244 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (exp (- im)) (+ (exp im) (exp (- im))))) (* 1.0 (/ (exp im) (+ (exp im) (exp (- im)))))) in im 1.244 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (- im)) (+ (exp im) (exp (- im))))) in im 1.244 * [taylor]: Taking taylor expansion of 1.0 in im 1.244 * [taylor]: Taking taylor expansion of (/ (exp (- im)) (+ (exp im) (exp (- im)))) in im 1.244 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.244 * [taylor]: Taking taylor expansion of (- im) in im 1.244 * [taylor]: Taking taylor expansion of im in im 1.244 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.244 * [taylor]: Taking taylor expansion of (exp im) in im 1.244 * [taylor]: Taking taylor expansion of im in im 1.244 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.244 * [taylor]: Taking taylor expansion of (- im) in im 1.244 * [taylor]: Taking taylor expansion of im in im 1.245 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp im) (+ (exp im) (exp (- im))))) in im 1.245 * [taylor]: Taking taylor expansion of 1.0 in im 1.245 * [taylor]: Taking taylor expansion of (/ (exp im) (+ (exp im) (exp (- im)))) in im 1.245 * [taylor]: Taking taylor expansion of (exp im) in im 1.245 * [taylor]: Taking taylor expansion of im in im 1.245 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.245 * [taylor]: Taking taylor expansion of (exp im) in im 1.245 * [taylor]: Taking taylor expansion of im in im 1.246 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.246 * [taylor]: Taking taylor expansion of (- im) in im 1.246 * [taylor]: Taking taylor expansion of im in im 1.258 * [approximate]: Taking taylor expansion of (log (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0 1.258 * [taylor]: Taking taylor expansion of (log (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.258 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.258 * [taylor]: Taking taylor expansion of 0.5 in im 1.258 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.258 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.258 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.258 * [taylor]: Taking taylor expansion of re in im 1.258 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.258 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.258 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.258 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.258 * [taylor]: Taking taylor expansion of im in im 1.259 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.259 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.259 * [taylor]: Taking taylor expansion of im in im 1.260 * [taylor]: Taking taylor expansion of (log (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 1.260 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.260 * [taylor]: Taking taylor expansion of 0.5 in re 1.260 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.260 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.260 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.260 * [taylor]: Taking taylor expansion of re in re 1.261 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.261 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.261 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.261 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.261 * [taylor]: Taking taylor expansion of im in re 1.261 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.261 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.261 * [taylor]: Taking taylor expansion of im in re 1.261 * [taylor]: Taking taylor expansion of (log (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 1.261 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.261 * [taylor]: Taking taylor expansion of 0.5 in re 1.261 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.261 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.261 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.261 * [taylor]: Taking taylor expansion of re in re 1.262 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.262 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.262 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.262 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.262 * [taylor]: Taking taylor expansion of im in re 1.262 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.262 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.262 * [taylor]: Taking taylor expansion of im in re 1.262 * [taylor]: Taking taylor expansion of (log (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.262 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.263 * [taylor]: Taking taylor expansion of 0.5 in im 1.263 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.263 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.263 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.263 * [taylor]: Taking taylor expansion of re in im 1.263 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.263 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.263 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.263 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.263 * [taylor]: Taking taylor expansion of im in im 1.263 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.263 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.263 * [taylor]: Taking taylor expansion of im in im 1.267 * [taylor]: Taking taylor expansion of 0 in im 1.275 * [taylor]: Taking taylor expansion of 0 in im 1.287 * [taylor]: Taking taylor expansion of 0 in im 1.287 * [approximate]: Taking taylor expansion of (log (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in (re im) around 0 1.287 * [taylor]: Taking taylor expansion of (log (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im 1.287 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.287 * [taylor]: Taking taylor expansion of 0.5 in im 1.287 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.287 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.287 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.287 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.287 * [taylor]: Taking taylor expansion of -1 in im 1.287 * [taylor]: Taking taylor expansion of im in im 1.288 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.288 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.288 * [taylor]: Taking taylor expansion of im in im 1.288 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.288 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.288 * [taylor]: Taking taylor expansion of -1 in im 1.288 * [taylor]: Taking taylor expansion of re in im 1.289 * [taylor]: Taking taylor expansion of (log (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re 1.289 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.289 * [taylor]: Taking taylor expansion of 0.5 in re 1.289 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.289 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.289 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.289 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.289 * [taylor]: Taking taylor expansion of -1 in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.289 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.289 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.289 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.289 * [taylor]: Taking taylor expansion of -1 in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.290 * [taylor]: Taking taylor expansion of (log (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re 1.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.290 * [taylor]: Taking taylor expansion of 0.5 in re 1.290 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.290 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.290 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.290 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.290 * [taylor]: Taking taylor expansion of -1 in re 1.290 * [taylor]: Taking taylor expansion of im in re 1.290 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.290 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.290 * [taylor]: Taking taylor expansion of im in re 1.290 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.291 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.291 * [taylor]: Taking taylor expansion of -1 in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of (log (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im 1.292 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.292 * [taylor]: Taking taylor expansion of 0.5 in im 1.292 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.292 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.292 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.292 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.292 * [taylor]: Taking taylor expansion of -1 in im 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.292 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.292 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.292 * [taylor]: Taking taylor expansion of -1 in im 1.292 * [taylor]: Taking taylor expansion of re in im 1.296 * [taylor]: Taking taylor expansion of 0 in im 1.303 * [taylor]: Taking taylor expansion of 0 in im 1.314 * [taylor]: Taking taylor expansion of 0 in im 1.314 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.314 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 1.314 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 1.314 * [taylor]: Taking taylor expansion of 0.5 in im 1.314 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 1.314 * [taylor]: Taking taylor expansion of (cos re) in im 1.315 * [taylor]: Taking taylor expansion of re in im 1.315 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.315 * [taylor]: Taking taylor expansion of (exp im) in im 1.315 * [taylor]: Taking taylor expansion of im in im 1.315 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.315 * [taylor]: Taking taylor expansion of (- im) in im 1.315 * [taylor]: Taking taylor expansion of im in im 1.315 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.315 * [taylor]: Taking taylor expansion of 0.5 in re 1.315 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.315 * [taylor]: Taking taylor expansion of (cos re) in re 1.315 * [taylor]: Taking taylor expansion of re in re 1.315 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.315 * [taylor]: Taking taylor expansion of (exp im) in re 1.315 * [taylor]: Taking taylor expansion of im in re 1.315 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.315 * [taylor]: Taking taylor expansion of (- im) in re 1.315 * [taylor]: Taking taylor expansion of im in re 1.315 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.315 * [taylor]: Taking taylor expansion of 0.5 in re 1.315 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.315 * [taylor]: Taking taylor expansion of (cos re) in re 1.315 * [taylor]: Taking taylor expansion of re in re 1.316 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.316 * [taylor]: Taking taylor expansion of (exp im) in re 1.316 * [taylor]: Taking taylor expansion of im in re 1.316 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.316 * [taylor]: Taking taylor expansion of (- im) in re 1.316 * [taylor]: Taking taylor expansion of im in re 1.316 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 1.316 * [taylor]: Taking taylor expansion of 0.5 in im 1.316 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.316 * [taylor]: Taking taylor expansion of (exp im) in im 1.316 * [taylor]: Taking taylor expansion of im in im 1.316 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.316 * [taylor]: Taking taylor expansion of (- im) in im 1.316 * [taylor]: Taking taylor expansion of im in im 1.322 * [taylor]: Taking taylor expansion of 0 in im 1.328 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 1.328 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 1.328 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.328 * [taylor]: Taking taylor expansion of 0.25 in im 1.328 * [taylor]: Taking taylor expansion of (exp im) in im 1.328 * [taylor]: Taking taylor expansion of im in im 1.328 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 1.328 * [taylor]: Taking taylor expansion of 0.25 in im 1.328 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.328 * [taylor]: Taking taylor expansion of (- im) in im 1.328 * [taylor]: Taking taylor expansion of im in im 1.334 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 1.334 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.334 * [taylor]: Taking taylor expansion of 0.5 in im 1.334 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.334 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.334 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.334 * [taylor]: Taking taylor expansion of re in im 1.334 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.334 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.334 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.334 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.334 * [taylor]: Taking taylor expansion of im in im 1.335 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.335 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.335 * [taylor]: Taking taylor expansion of im in im 1.335 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.335 * [taylor]: Taking taylor expansion of 0.5 in re 1.335 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.335 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.335 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.335 * [taylor]: Taking taylor expansion of re in re 1.335 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.335 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.335 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.335 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.335 * [taylor]: Taking taylor expansion of im in re 1.335 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.335 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.335 * [taylor]: Taking taylor expansion of im in re 1.336 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.336 * [taylor]: Taking taylor expansion of 0.5 in re 1.336 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.336 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.336 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.336 * [taylor]: Taking taylor expansion of re in re 1.336 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.336 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.336 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.336 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.336 * [taylor]: Taking taylor expansion of im in re 1.336 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.336 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.336 * [taylor]: Taking taylor expansion of im in re 1.337 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.337 * [taylor]: Taking taylor expansion of 0.5 in im 1.337 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.337 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.337 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.337 * [taylor]: Taking taylor expansion of re in im 1.337 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.337 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.337 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.337 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.337 * [taylor]: Taking taylor expansion of im in im 1.337 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.337 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.337 * [taylor]: Taking taylor expansion of im in im 1.341 * [taylor]: Taking taylor expansion of 0 in im 1.346 * [taylor]: Taking taylor expansion of 0 in im 1.354 * [taylor]: Taking taylor expansion of 0 in im 1.355 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 1.355 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.355 * [taylor]: Taking taylor expansion of 0.5 in im 1.355 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.355 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.355 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.355 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.355 * [taylor]: Taking taylor expansion of -1 in im 1.355 * [taylor]: Taking taylor expansion of im in im 1.356 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.356 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.356 * [taylor]: Taking taylor expansion of im in im 1.356 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.356 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.356 * [taylor]: Taking taylor expansion of -1 in im 1.356 * [taylor]: Taking taylor expansion of re in im 1.356 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.356 * [taylor]: Taking taylor expansion of 0.5 in re 1.356 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.356 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.356 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.356 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.356 * [taylor]: Taking taylor expansion of -1 in re 1.356 * [taylor]: Taking taylor expansion of im in re 1.356 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.356 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.356 * [taylor]: Taking taylor expansion of im in re 1.356 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.356 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.356 * [taylor]: Taking taylor expansion of -1 in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.357 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.357 * [taylor]: Taking taylor expansion of 0.5 in re 1.357 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.357 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.357 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.357 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.357 * [taylor]: Taking taylor expansion of -1 in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.357 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.357 * [taylor]: Taking taylor expansion of -1 in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.358 * [taylor]: Taking taylor expansion of 0.5 in im 1.358 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.358 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.358 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.358 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.358 * [taylor]: Taking taylor expansion of -1 in im 1.358 * [taylor]: Taking taylor expansion of im in im 1.358 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.358 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.358 * [taylor]: Taking taylor expansion of im in im 1.359 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.359 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.359 * [taylor]: Taking taylor expansion of -1 in im 1.359 * [taylor]: Taking taylor expansion of re in im 1.361 * [taylor]: Taking taylor expansion of 0 in im 1.367 * [taylor]: Taking taylor expansion of 0 in im 1.374 * [taylor]: Taking taylor expansion of 0 in im 1.374 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 1.374 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 1.374 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.374 * [taylor]: Taking taylor expansion of (exp im) in im 1.374 * [taylor]: Taking taylor expansion of im in im 1.374 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.374 * [taylor]: Taking taylor expansion of (- im) in im 1.374 * [taylor]: Taking taylor expansion of im in im 1.375 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.375 * [taylor]: Taking taylor expansion of (exp im) in im 1.375 * [taylor]: Taking taylor expansion of im in im 1.375 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.375 * [taylor]: Taking taylor expansion of (- im) in im 1.375 * [taylor]: Taking taylor expansion of im in im 1.389 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 1.389 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.389 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.389 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.389 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.389 * [taylor]: Taking taylor expansion of im in im 1.390 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.390 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.390 * [taylor]: Taking taylor expansion of im in im 1.390 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.390 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.390 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.390 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.390 * [taylor]: Taking taylor expansion of im in im 1.391 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.391 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.391 * [taylor]: Taking taylor expansion of im in im 1.393 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.393 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.393 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.393 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.393 * [taylor]: Taking taylor expansion of -1 in im 1.393 * [taylor]: Taking taylor expansion of im in im 1.393 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.393 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.393 * [taylor]: Taking taylor expansion of im in im 1.393 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.393 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.393 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.393 * [taylor]: Taking taylor expansion of -1 in im 1.393 * [taylor]: Taking taylor expansion of im in im 1.394 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.394 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.394 * [taylor]: Taking taylor expansion of im in im 1.396 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.396 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 1.396 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 1.396 * [taylor]: Taking taylor expansion of 0.5 in im 1.396 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 1.396 * [taylor]: Taking taylor expansion of (cos re) in im 1.396 * [taylor]: Taking taylor expansion of re in im 1.396 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.396 * [taylor]: Taking taylor expansion of (exp im) in im 1.396 * [taylor]: Taking taylor expansion of im in im 1.396 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.396 * [taylor]: Taking taylor expansion of (- im) in im 1.396 * [taylor]: Taking taylor expansion of im in im 1.397 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.397 * [taylor]: Taking taylor expansion of 0.5 in re 1.397 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.397 * [taylor]: Taking taylor expansion of (cos re) in re 1.397 * [taylor]: Taking taylor expansion of re in re 1.397 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.397 * [taylor]: Taking taylor expansion of (exp im) in re 1.397 * [taylor]: Taking taylor expansion of im in re 1.397 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.397 * [taylor]: Taking taylor expansion of (- im) in re 1.397 * [taylor]: Taking taylor expansion of im in re 1.397 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.397 * [taylor]: Taking taylor expansion of 0.5 in re 1.397 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.397 * [taylor]: Taking taylor expansion of (cos re) in re 1.397 * [taylor]: Taking taylor expansion of re in re 1.397 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.397 * [taylor]: Taking taylor expansion of (exp im) in re 1.397 * [taylor]: Taking taylor expansion of im in re 1.397 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.397 * [taylor]: Taking taylor expansion of (- im) in re 1.397 * [taylor]: Taking taylor expansion of im in re 1.397 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 1.397 * [taylor]: Taking taylor expansion of 0.5 in im 1.397 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.397 * [taylor]: Taking taylor expansion of (exp im) in im 1.397 * [taylor]: Taking taylor expansion of im in im 1.397 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.397 * [taylor]: Taking taylor expansion of (- im) in im 1.398 * [taylor]: Taking taylor expansion of im in im 1.401 * [taylor]: Taking taylor expansion of 0 in im 1.409 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 1.409 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 1.409 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.409 * [taylor]: Taking taylor expansion of 0.25 in im 1.409 * [taylor]: Taking taylor expansion of (exp im) in im 1.409 * [taylor]: Taking taylor expansion of im in im 1.409 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 1.409 * [taylor]: Taking taylor expansion of 0.25 in im 1.409 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.409 * [taylor]: Taking taylor expansion of (- im) in im 1.409 * [taylor]: Taking taylor expansion of im in im 1.416 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 1.416 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.416 * [taylor]: Taking taylor expansion of 0.5 in im 1.416 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.416 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.416 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.416 * [taylor]: Taking taylor expansion of re in im 1.416 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.416 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.416 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.416 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.416 * [taylor]: Taking taylor expansion of im in im 1.416 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.416 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.417 * [taylor]: Taking taylor expansion of im in im 1.417 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.417 * [taylor]: Taking taylor expansion of 0.5 in re 1.417 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.417 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.417 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.417 * [taylor]: Taking taylor expansion of re in re 1.417 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.417 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.417 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.417 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.417 * [taylor]: Taking taylor expansion of im in re 1.417 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.417 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.417 * [taylor]: Taking taylor expansion of im in re 1.418 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.418 * [taylor]: Taking taylor expansion of 0.5 in re 1.418 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.418 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.418 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.418 * [taylor]: Taking taylor expansion of re in re 1.418 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.418 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.418 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.418 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.418 * [taylor]: Taking taylor expansion of im in re 1.418 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.418 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.418 * [taylor]: Taking taylor expansion of im in re 1.419 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.419 * [taylor]: Taking taylor expansion of 0.5 in im 1.419 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.419 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.419 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.419 * [taylor]: Taking taylor expansion of re in im 1.419 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.419 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.419 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.419 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.419 * [taylor]: Taking taylor expansion of im in im 1.419 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.419 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.419 * [taylor]: Taking taylor expansion of im in im 1.423 * [taylor]: Taking taylor expansion of 0 in im 1.428 * [taylor]: Taking taylor expansion of 0 in im 1.436 * [taylor]: Taking taylor expansion of 0 in im 1.437 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 1.437 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.437 * [taylor]: Taking taylor expansion of 0.5 in im 1.437 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.437 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.437 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.437 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.437 * [taylor]: Taking taylor expansion of -1 in im 1.437 * [taylor]: Taking taylor expansion of im in im 1.437 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.437 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.437 * [taylor]: Taking taylor expansion of im in im 1.438 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.438 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.438 * [taylor]: Taking taylor expansion of -1 in im 1.438 * [taylor]: Taking taylor expansion of re in im 1.438 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.438 * [taylor]: Taking taylor expansion of 0.5 in re 1.438 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.438 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.438 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.438 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.438 * [taylor]: Taking taylor expansion of -1 in re 1.438 * [taylor]: Taking taylor expansion of im in re 1.438 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.438 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.438 * [taylor]: Taking taylor expansion of im in re 1.438 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.438 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.438 * [taylor]: Taking taylor expansion of -1 in re 1.438 * [taylor]: Taking taylor expansion of re in re 1.438 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.438 * [taylor]: Taking taylor expansion of 0.5 in re 1.438 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.438 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.438 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.438 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.438 * [taylor]: Taking taylor expansion of -1 in re 1.438 * [taylor]: Taking taylor expansion of im in re 1.439 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.439 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.439 * [taylor]: Taking taylor expansion of im in re 1.439 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.439 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.439 * [taylor]: Taking taylor expansion of -1 in re 1.439 * [taylor]: Taking taylor expansion of re in re 1.439 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.439 * [taylor]: Taking taylor expansion of 0.5 in im 1.439 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.439 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.439 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.439 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.439 * [taylor]: Taking taylor expansion of -1 in im 1.439 * [taylor]: Taking taylor expansion of im in im 1.440 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.440 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.440 * [taylor]: Taking taylor expansion of im in im 1.440 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.440 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.440 * [taylor]: Taking taylor expansion of -1 in im 1.440 * [taylor]: Taking taylor expansion of re in im 1.443 * [taylor]: Taking taylor expansion of 0 in im 1.448 * [taylor]: Taking taylor expansion of 0 in im 1.455 * [taylor]: Taking taylor expansion of 0 in im 1.455 * * * [progress]: simplifying candidates 1.456 * [simplify]: Simplifying using # : (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im))) (log (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (log (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (log (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (log (- (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)))) (log (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (exp (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (* (cbrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (cbrt (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))))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (sqrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (sqrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (exp 1) (exp 1) (exp 1) (exp (* (cbrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))) (exp (sqrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (exp 1) (exp (log (* 0.5 (cos re)))) (exp (log (+ (exp (- im)) (exp im)))) (exp (log (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))))) (exp (log (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (exp (log (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))))) (exp (log (- (exp (- im)) (exp im)))) (log (exp (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (exp (exp (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (* (cbrt (exp (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (cbrt (exp (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))) (cbrt (exp (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (* (* (exp (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (exp (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (exp (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (sqrt (exp (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (sqrt (exp (log (* (* 0.5 (cos re)) (+ (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 (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)))) (- (+ (log 1.0) (* 0.5 (pow im 2))) (* 0.5 (pow re 2))) (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) (log (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re)))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) (- (+ (* 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))) 1.462 * * [simplify]: iteration 0 : 300 enodes (cost 704 ) 1.468 * * [simplify]: iteration 1 : 1413 enodes (cost 604 ) 1.496 * * [simplify]: iteration 2 : 5001 enodes (cost 599 ) 1.499 * [simplify]: Simplified to: (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im))) (log (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (log (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (log (* (+ (exp (+ (- im) (- im))) (- (exp (+ im im)))) (* 0.5 (cos re)))) (log (- (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)))) (log (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (cbrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (cbrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (pow (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) 3) (sqrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (sqrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) E E E (exp (* (cbrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))) (exp (sqrt (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) E (* 0.5 (cos re)) (+ (exp (- im)) (exp im)) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)) (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (+ (exp (- im)) (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (pow (+ (exp (- im)) (exp im)) 3) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)) (+ (- (exp (+ im im))) (pow (exp -1) (* 2 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 (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)) (+ (* 0.5 (- (pow im 2) (pow re 2))) (log 1.0)) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (+ 1.0 (* 0.5 (- (pow im 2) (pow re 2)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (+ 1.0 (* 0.5 (- (pow im 2) (pow re 2)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 1.499 * * * [progress]: adding candidates to table 1.692 * * [progress]: iteration 4 / 4 1.692 * * * [progress]: picking best candidate 1.696 * * * * [pick]: Picked # 1.696 * * * [progress]: localizing error 1.714 * * * [progress]: generating rewritten candidates 1.714 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.725 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.728 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 1.731 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.752 * * * [progress]: generating series expansions 1.752 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.752 * [approximate]: Taking taylor expansion of (- (exp (- im)) (exp im)) in (im) around 0 1.752 * [taylor]: Taking taylor expansion of (- (exp (- im)) (exp im)) in im 1.752 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.752 * [taylor]: Taking taylor expansion of (- im) in im 1.752 * [taylor]: Taking taylor expansion of im in im 1.753 * [taylor]: Taking taylor expansion of (exp im) in im 1.753 * [taylor]: Taking taylor expansion of im in im 1.753 * [taylor]: Taking taylor expansion of (- (exp (- im)) (exp im)) in im 1.753 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.753 * [taylor]: Taking taylor expansion of (- im) in im 1.753 * [taylor]: Taking taylor expansion of im in im 1.754 * [taylor]: Taking taylor expansion of (exp im) in im 1.754 * [taylor]: Taking taylor expansion of im in im 1.781 * [approximate]: Taking taylor expansion of (- (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 1.781 * [taylor]: Taking taylor expansion of (- (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.781 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.781 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.781 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.782 * [taylor]: Taking taylor expansion of im in im 1.782 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.782 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.782 * [taylor]: Taking taylor expansion of im in im 1.782 * [taylor]: Taking taylor expansion of (- (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.782 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.782 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.782 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.782 * [taylor]: Taking taylor expansion of im in im 1.783 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.783 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.783 * [taylor]: Taking taylor expansion of im in im 1.786 * [approximate]: Taking taylor expansion of (- (exp (/ 1 im)) (exp (/ -1 im))) in (im) around 0 1.787 * [taylor]: Taking taylor expansion of (- (exp (/ 1 im)) (exp (/ -1 im))) in im 1.787 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.787 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.787 * [taylor]: Taking taylor expansion of im in im 1.787 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.787 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.787 * [taylor]: Taking taylor expansion of -1 in im 1.787 * [taylor]: Taking taylor expansion of im in im 1.787 * [taylor]: Taking taylor expansion of (- (exp (/ 1 im)) (exp (/ -1 im))) in im 1.787 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.787 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.787 * [taylor]: Taking taylor expansion of im in im 1.788 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.788 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.788 * [taylor]: Taking taylor expansion of -1 in im 1.788 * [taylor]: Taking taylor expansion of im in im 1.791 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.792 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im)))) in (im) around 0 1.792 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im)))) in im 1.792 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp im) 2))) in im 1.792 * [taylor]: Taking taylor expansion of 0.5 in im 1.792 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp im) 2)) in im 1.792 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.792 * [taylor]: Taking taylor expansion of (exp im) in im 1.792 * [taylor]: Taking taylor expansion of im in im 1.792 * [taylor]: Taking taylor expansion of (* 0.5 (exp (* 2 im))) in im 1.792 * [taylor]: Taking taylor expansion of 0.5 in im 1.792 * [taylor]: Taking taylor expansion of (exp (* 2 im)) in im 1.792 * [taylor]: Taking taylor expansion of (* 2 im) in im 1.792 * [taylor]: Taking taylor expansion of 2 in im 1.792 * [taylor]: Taking taylor expansion of im in im 1.793 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im)))) in im 1.793 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp im) 2))) in im 1.793 * [taylor]: Taking taylor expansion of 0.5 in im 1.793 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp im) 2)) in im 1.793 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.793 * [taylor]: Taking taylor expansion of (exp im) in im 1.793 * [taylor]: Taking taylor expansion of im in im 1.794 * [taylor]: Taking taylor expansion of (* 0.5 (exp (* 2 im))) in im 1.794 * [taylor]: Taking taylor expansion of 0.5 in im 1.794 * [taylor]: Taking taylor expansion of (exp (* 2 im)) in im 1.794 * [taylor]: Taking taylor expansion of (* 2 im) in im 1.794 * [taylor]: Taking taylor expansion of 2 in im 1.794 * [taylor]: Taking taylor expansion of im in im 1.842 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (* 2 (/ 1 im))))) in (im) around 0 1.842 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (* 2 (/ 1 im))))) in im 1.842 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) in im 1.842 * [taylor]: Taking taylor expansion of 0.5 in im 1.842 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp (/ 1 im)) 2)) in im 1.842 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.842 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.842 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.842 * [taylor]: Taking taylor expansion of im in im 1.843 * [taylor]: Taking taylor expansion of (* 0.5 (exp (* 2 (/ 1 im)))) in im 1.843 * [taylor]: Taking taylor expansion of 0.5 in im 1.843 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 im))) in im 1.843 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in im 1.843 * [taylor]: Taking taylor expansion of 2 in im 1.843 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.843 * [taylor]: Taking taylor expansion of im in im 1.844 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (* 2 (/ 1 im))))) in im 1.844 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) in im 1.844 * [taylor]: Taking taylor expansion of 0.5 in im 1.844 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp (/ 1 im)) 2)) in im 1.844 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.844 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.844 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.844 * [taylor]: Taking taylor expansion of im in im 1.844 * [taylor]: Taking taylor expansion of (* 0.5 (exp (* 2 (/ 1 im)))) in im 1.844 * [taylor]: Taking taylor expansion of 0.5 in im 1.844 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 im))) in im 1.844 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in im 1.844 * [taylor]: Taking taylor expansion of 2 in im 1.844 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.844 * [taylor]: Taking taylor expansion of im in im 1.871 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im)))))) in (im) around 0 1.871 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im)))))) in im 1.871 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) in im 1.871 * [taylor]: Taking taylor expansion of 0.5 in im 1.871 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp (/ -1 im)) 2)) in im 1.871 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 1.871 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.871 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.871 * [taylor]: Taking taylor expansion of -1 in im 1.871 * [taylor]: Taking taylor expansion of im in im 1.871 * [taylor]: Taking taylor expansion of (* 0.5 (exp (- (* 2 (/ 1 im))))) in im 1.871 * [taylor]: Taking taylor expansion of 0.5 in im 1.872 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 im)))) in im 1.872 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 im))) in im 1.872 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in im 1.872 * [taylor]: Taking taylor expansion of 2 in im 1.872 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.872 * [taylor]: Taking taylor expansion of im in im 1.872 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im)))))) in im 1.872 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) in im 1.872 * [taylor]: Taking taylor expansion of 0.5 in im 1.872 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp (/ -1 im)) 2)) in im 1.872 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 1.872 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.873 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.873 * [taylor]: Taking taylor expansion of -1 in im 1.873 * [taylor]: Taking taylor expansion of im in im 1.873 * [taylor]: Taking taylor expansion of (* 0.5 (exp (- (* 2 (/ 1 im))))) in im 1.873 * [taylor]: Taking taylor expansion of 0.5 in im 1.873 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 im)))) in im 1.873 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 im))) in im 1.873 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in im 1.873 * [taylor]: Taking taylor expansion of 2 in im 1.873 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.873 * [taylor]: Taking taylor expansion of im in im 1.895 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 1.895 * [approximate]: Taking taylor expansion of (pow (exp im) -2) in (im) around 0 1.895 * [taylor]: Taking taylor expansion of (pow (exp im) -2) in im 1.895 * [taylor]: Taking taylor expansion of (exp im) in im 1.895 * [taylor]: Taking taylor expansion of im in im 1.896 * [taylor]: Taking taylor expansion of (pow (exp im) -2) in im 1.896 * [taylor]: Taking taylor expansion of (exp im) in im 1.896 * [taylor]: Taking taylor expansion of im in im 1.900 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) -2) in (im) around 0 1.900 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) -2) in im 1.900 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.900 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.900 * [taylor]: Taking taylor expansion of im in im 1.900 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) -2) in im 1.900 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.900 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.900 * [taylor]: Taking taylor expansion of im in im 1.906 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) -2) in (im) around 0 1.906 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) -2) in im 1.906 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.906 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.906 * [taylor]: Taking taylor expansion of -1 in im 1.906 * [taylor]: Taking taylor expansion of im in im 1.907 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) -2) in im 1.907 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.907 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.907 * [taylor]: Taking taylor expansion of -1 in im 1.907 * [taylor]: Taking taylor expansion of im in im 1.913 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.913 * [approximate]: Taking taylor expansion of (/ (* (cos re) (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im))))) (- (exp (- im)) (exp im))) in (im re) around 0 1.913 * [taylor]: Taking taylor expansion of (/ (* (cos re) (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im))))) (- (exp (- im)) (exp im))) in re 1.913 * [taylor]: Taking taylor expansion of (* (cos re) (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im))))) in re 1.913 * [taylor]: Taking taylor expansion of (cos re) in re 1.913 * [taylor]: Taking taylor expansion of re in re 1.913 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im)))) in re 1.913 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp im) 2))) in re 1.913 * [taylor]: Taking taylor expansion of 0.5 in re 1.913 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp im) 2)) in re 1.913 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in re 1.913 * [taylor]: Taking taylor expansion of (exp im) in re 1.913 * [taylor]: Taking taylor expansion of im in re 1.913 * [taylor]: Taking taylor expansion of (* 0.5 (exp (* 2 im))) in re 1.913 * [taylor]: Taking taylor expansion of 0.5 in re 1.913 * [taylor]: Taking taylor expansion of (exp (* 2 im)) in re 1.913 * [taylor]: Taking taylor expansion of (* 2 im) in re 1.913 * [taylor]: Taking taylor expansion of 2 in re 1.913 * [taylor]: Taking taylor expansion of im in re 1.913 * [taylor]: Taking taylor expansion of (- (exp (- im)) (exp im)) in re 1.913 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.913 * [taylor]: Taking taylor expansion of (- im) in re 1.914 * [taylor]: Taking taylor expansion of im in re 1.914 * [taylor]: Taking taylor expansion of (exp im) in re 1.914 * [taylor]: Taking taylor expansion of im in re 1.914 * [taylor]: Taking taylor expansion of (/ (* (cos re) (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im))))) (- (exp (- im)) (exp im))) in im 1.914 * [taylor]: Taking taylor expansion of (* (cos re) (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im))))) in im 1.914 * [taylor]: Taking taylor expansion of (cos re) in im 1.914 * [taylor]: Taking taylor expansion of re in im 1.914 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im)))) in im 1.914 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp im) 2))) in im 1.914 * [taylor]: Taking taylor expansion of 0.5 in im 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp im) 2)) in im 1.915 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.915 * [taylor]: Taking taylor expansion of (exp im) in im 1.915 * [taylor]: Taking taylor expansion of im in im 1.915 * [taylor]: Taking taylor expansion of (* 0.5 (exp (* 2 im))) in im 1.915 * [taylor]: Taking taylor expansion of 0.5 in im 1.915 * [taylor]: Taking taylor expansion of (exp (* 2 im)) in im 1.915 * [taylor]: Taking taylor expansion of (* 2 im) in im 1.915 * [taylor]: Taking taylor expansion of 2 in im 1.915 * [taylor]: Taking taylor expansion of im in im 1.916 * [taylor]: Taking taylor expansion of (- (exp (- im)) (exp im)) in im 1.916 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.916 * [taylor]: Taking taylor expansion of (- im) in im 1.916 * [taylor]: Taking taylor expansion of im in im 1.916 * [taylor]: Taking taylor expansion of (exp im) in im 1.916 * [taylor]: Taking taylor expansion of im in im 1.927 * [taylor]: Taking taylor expansion of (/ (* (cos re) (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im))))) (- (exp (- im)) (exp im))) in im 1.927 * [taylor]: Taking taylor expansion of (* (cos re) (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im))))) in im 1.927 * [taylor]: Taking taylor expansion of (cos re) in im 1.927 * [taylor]: Taking taylor expansion of re in im 1.927 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im)))) in im 1.927 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp im) 2))) in im 1.927 * [taylor]: Taking taylor expansion of 0.5 in im 1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp im) 2)) in im 1.927 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 1.927 * [taylor]: Taking taylor expansion of (exp im) in im 1.927 * [taylor]: Taking taylor expansion of im in im 1.927 * [taylor]: Taking taylor expansion of (* 0.5 (exp (* 2 im))) in im 1.927 * [taylor]: Taking taylor expansion of 0.5 in im 1.928 * [taylor]: Taking taylor expansion of (exp (* 2 im)) in im 1.928 * [taylor]: Taking taylor expansion of (* 2 im) in im 1.928 * [taylor]: Taking taylor expansion of 2 in im 1.928 * [taylor]: Taking taylor expansion of im in im 1.928 * [taylor]: Taking taylor expansion of (- (exp (- im)) (exp im)) in im 1.928 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.928 * [taylor]: Taking taylor expansion of (- im) in im 1.928 * [taylor]: Taking taylor expansion of im in im 1.929 * [taylor]: Taking taylor expansion of (exp im) in im 1.929 * [taylor]: Taking taylor expansion of im in im 1.944 * [taylor]: Taking taylor expansion of (* 1.0 (cos re)) in re 1.944 * [taylor]: Taking taylor expansion of 1.0 in re 1.944 * [taylor]: Taking taylor expansion of (cos re) in re 1.944 * [taylor]: Taking taylor expansion of re in re 1.956 * [taylor]: Taking taylor expansion of 0 in re 1.972 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 1.972 * [taylor]: Taking taylor expansion of 0.5 in re 1.972 * [taylor]: Taking taylor expansion of (cos re) in re 1.972 * [taylor]: Taking taylor expansion of re in re 1.975 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 re)) (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (* 2 (/ 1 im)))))) (- (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im re) around 0 1.976 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 re)) (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (* 2 (/ 1 im)))))) (- (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.976 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (* 2 (/ 1 im)))))) in re 1.976 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.976 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.976 * [taylor]: Taking taylor expansion of re in re 1.976 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (* 2 (/ 1 im))))) in re 1.976 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) in re 1.976 * [taylor]: Taking taylor expansion of 0.5 in re 1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp (/ 1 im)) 2)) in re 1.976 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 1.976 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.976 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.976 * [taylor]: Taking taylor expansion of im in re 1.976 * [taylor]: Taking taylor expansion of (* 0.5 (exp (* 2 (/ 1 im)))) in re 1.976 * [taylor]: Taking taylor expansion of 0.5 in re 1.976 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 im))) in re 1.976 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in re 1.976 * [taylor]: Taking taylor expansion of 2 in re 1.976 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.976 * [taylor]: Taking taylor expansion of im in re 1.976 * [taylor]: Taking taylor expansion of (- (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.976 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.976 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.977 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.977 * [taylor]: Taking taylor expansion of im in re 1.977 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.977 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.977 * [taylor]: Taking taylor expansion of im in re 1.978 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 re)) (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (* 2 (/ 1 im)))))) (- (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.978 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (* 2 (/ 1 im)))))) in im 1.978 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.978 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.978 * [taylor]: Taking taylor expansion of re in im 1.978 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (* 2 (/ 1 im))))) in im 1.978 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) in im 1.978 * [taylor]: Taking taylor expansion of 0.5 in im 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp (/ 1 im)) 2)) in im 1.978 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.978 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.978 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.978 * [taylor]: Taking taylor expansion of im in im 1.978 * [taylor]: Taking taylor expansion of (* 0.5 (exp (* 2 (/ 1 im)))) in im 1.978 * [taylor]: Taking taylor expansion of 0.5 in im 1.978 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 im))) in im 1.978 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in im 1.978 * [taylor]: Taking taylor expansion of 2 in im 1.978 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.979 * [taylor]: Taking taylor expansion of im in im 1.979 * [taylor]: Taking taylor expansion of (- (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.979 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.979 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.979 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.979 * [taylor]: Taking taylor expansion of im in im 1.980 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.980 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.980 * [taylor]: Taking taylor expansion of im in im 1.981 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 re)) (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (* 2 (/ 1 im)))))) (- (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.981 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (* 2 (/ 1 im)))))) in im 1.982 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.982 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.982 * [taylor]: Taking taylor expansion of re in im 1.982 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (* 2 (/ 1 im))))) in im 1.982 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) in im 1.982 * [taylor]: Taking taylor expansion of 0.5 in im 1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp (/ 1 im)) 2)) in im 1.982 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.982 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.982 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.982 * [taylor]: Taking taylor expansion of im in im 1.982 * [taylor]: Taking taylor expansion of (* 0.5 (exp (* 2 (/ 1 im)))) in im 1.982 * [taylor]: Taking taylor expansion of 0.5 in im 1.982 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 im))) in im 1.982 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in im 1.982 * [taylor]: Taking taylor expansion of 2 in im 1.982 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.982 * [taylor]: Taking taylor expansion of im in im 1.983 * [taylor]: Taking taylor expansion of (- (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.983 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.983 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.983 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.983 * [taylor]: Taking taylor expansion of im in im 1.983 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.983 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.984 * [taylor]: Taking taylor expansion of im in im 1.985 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 re)) (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (/ 2 im))))) (- (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.985 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (/ 2 im))))) in re 1.985 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.985 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.985 * [taylor]: Taking taylor expansion of re in re 1.985 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) (* 0.5 (exp (/ 2 im)))) in re 1.985 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp (/ 1 im)) 2))) in re 1.986 * [taylor]: Taking taylor expansion of 0.5 in re 1.986 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp (/ 1 im)) 2)) in re 1.986 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in re 1.986 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.986 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.986 * [taylor]: Taking taylor expansion of im in re 1.986 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 2 im))) in re 1.986 * [taylor]: Taking taylor expansion of 0.5 in re 1.986 * [taylor]: Taking taylor expansion of (exp (/ 2 im)) in re 1.986 * [taylor]: Taking taylor expansion of (/ 2 im) in re 1.986 * [taylor]: Taking taylor expansion of 2 in re 1.986 * [taylor]: Taking taylor expansion of im in re 1.986 * [taylor]: Taking taylor expansion of (- (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.986 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.986 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.986 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.986 * [taylor]: Taking taylor expansion of im in re 1.986 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.986 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.986 * [taylor]: Taking taylor expansion of im in re 1.992 * [taylor]: Taking taylor expansion of 0 in re 2.003 * [taylor]: Taking taylor expansion of 0 in re 2.017 * [taylor]: Taking taylor expansion of 0 in re 2.018 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im))))))) (- (exp (/ 1 im)) (exp (/ -1 im)))) in (im re) around 0 2.018 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im))))))) (- (exp (/ 1 im)) (exp (/ -1 im)))) in re 2.018 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im))))))) in re 2.018 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.018 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.018 * [taylor]: Taking taylor expansion of -1 in re 2.018 * [taylor]: Taking taylor expansion of re in re 2.019 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im)))))) in re 2.019 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) in re 2.019 * [taylor]: Taking taylor expansion of 0.5 in re 2.019 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp (/ -1 im)) 2)) in re 2.019 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in re 2.019 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.019 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.019 * [taylor]: Taking taylor expansion of -1 in re 2.019 * [taylor]: Taking taylor expansion of im in re 2.019 * [taylor]: Taking taylor expansion of (* 0.5 (exp (- (* 2 (/ 1 im))))) in re 2.019 * [taylor]: Taking taylor expansion of 0.5 in re 2.019 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 im)))) in re 2.019 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 im))) in re 2.023 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in re 2.024 * [taylor]: Taking taylor expansion of 2 in re 2.024 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.024 * [taylor]: Taking taylor expansion of im in re 2.024 * [taylor]: Taking taylor expansion of (- (exp (/ 1 im)) (exp (/ -1 im))) in re 2.024 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.024 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.024 * [taylor]: Taking taylor expansion of im in re 2.024 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.024 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.024 * [taylor]: Taking taylor expansion of -1 in re 2.024 * [taylor]: Taking taylor expansion of im in re 2.025 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im))))))) (- (exp (/ 1 im)) (exp (/ -1 im)))) in im 2.025 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im))))))) in im 2.025 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.025 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.025 * [taylor]: Taking taylor expansion of -1 in im 2.025 * [taylor]: Taking taylor expansion of re in im 2.025 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im)))))) in im 2.025 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) in im 2.025 * [taylor]: Taking taylor expansion of 0.5 in im 2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp (/ -1 im)) 2)) in im 2.025 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 2.025 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.025 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.025 * [taylor]: Taking taylor expansion of -1 in im 2.025 * [taylor]: Taking taylor expansion of im in im 2.026 * [taylor]: Taking taylor expansion of (* 0.5 (exp (- (* 2 (/ 1 im))))) in im 2.026 * [taylor]: Taking taylor expansion of 0.5 in im 2.026 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 im)))) in im 2.026 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 im))) in im 2.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in im 2.026 * [taylor]: Taking taylor expansion of 2 in im 2.026 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.026 * [taylor]: Taking taylor expansion of im in im 2.027 * [taylor]: Taking taylor expansion of (- (exp (/ 1 im)) (exp (/ -1 im))) in im 2.027 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.027 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.027 * [taylor]: Taking taylor expansion of im in im 2.027 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.027 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.027 * [taylor]: Taking taylor expansion of -1 in im 2.027 * [taylor]: Taking taylor expansion of im in im 2.029 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im))))))) (- (exp (/ 1 im)) (exp (/ -1 im)))) in im 2.029 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im))))))) in im 2.029 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.029 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.029 * [taylor]: Taking taylor expansion of -1 in im 2.029 * [taylor]: Taking taylor expansion of re in im 2.029 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im)))))) in im 2.029 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) in im 2.029 * [taylor]: Taking taylor expansion of 0.5 in im 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp (/ -1 im)) 2)) in im 2.029 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 2.029 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.029 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.029 * [taylor]: Taking taylor expansion of -1 in im 2.029 * [taylor]: Taking taylor expansion of im in im 2.030 * [taylor]: Taking taylor expansion of (* 0.5 (exp (- (* 2 (/ 1 im))))) in im 2.030 * [taylor]: Taking taylor expansion of 0.5 in im 2.030 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 im)))) in im 2.030 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 im))) in im 2.030 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in im 2.030 * [taylor]: Taking taylor expansion of 2 in im 2.030 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.030 * [taylor]: Taking taylor expansion of im in im 2.031 * [taylor]: Taking taylor expansion of (- (exp (/ 1 im)) (exp (/ -1 im))) in im 2.031 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.031 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.031 * [taylor]: Taking taylor expansion of im in im 2.031 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.031 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.031 * [taylor]: Taking taylor expansion of -1 in im 2.031 * [taylor]: Taking taylor expansion of im in im 2.033 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 re)) (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im))))))) (- (exp (/ 1 im)) (exp (/ -1 im)))) in re 2.033 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im))))))) in re 2.033 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.033 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.033 * [taylor]: Taking taylor expansion of -1 in re 2.033 * [taylor]: Taking taylor expansion of re in re 2.033 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) (* 0.5 (exp (- (* 2 (/ 1 im)))))) in re 2.033 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow (exp (/ -1 im)) 2))) in re 2.033 * [taylor]: Taking taylor expansion of 0.5 in re 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow (exp (/ -1 im)) 2)) in re 2.033 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in re 2.033 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.033 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.033 * [taylor]: Taking taylor expansion of -1 in re 2.033 * [taylor]: Taking taylor expansion of im in re 2.034 * [taylor]: Taking taylor expansion of (* 0.5 (exp (- (* 2 (/ 1 im))))) in re 2.034 * [taylor]: Taking taylor expansion of 0.5 in re 2.034 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 im)))) in re 2.034 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 im))) in re 2.034 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in re 2.034 * [taylor]: Taking taylor expansion of 2 in re 2.034 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.034 * [taylor]: Taking taylor expansion of im in re 2.034 * [taylor]: Taking taylor expansion of (- (exp (/ 1 im)) (exp (/ -1 im))) in re 2.034 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.034 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.034 * [taylor]: Taking taylor expansion of im in re 2.034 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.034 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.034 * [taylor]: Taking taylor expansion of -1 in re 2.034 * [taylor]: Taking taylor expansion of im in re 2.040 * [taylor]: Taking taylor expansion of 0 in re 2.051 * [taylor]: Taking taylor expansion of 0 in re 2.066 * [taylor]: Taking taylor expansion of 0 in re 2.067 * * * [progress]: simplifying candidates 2.068 * [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)) (+ (sqrt (exp (- im))) (sqrt (exp im))) (- (sqrt (exp (- im))) (sqrt (exp im))) (- (exp (- im)) (exp im)) (- (exp im)) (* (exp (* 0.5 (pow (exp im) -2))) (exp (* 0.5 (- (exp (+ im im)))))) (log (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (exp (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (* (cbrt (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (cbrt (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))))) (cbrt (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (* (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (sqrt (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (sqrt (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (+ (pow (* 0.5 (pow (exp im) -2)) 3) (pow (* 0.5 (- (exp (+ im im)))) 3)) (+ (* (* 0.5 (pow (exp im) -2)) (* 0.5 (pow (exp im) -2))) (- (* (* 0.5 (- (exp (+ im im)))) (* 0.5 (- (exp (+ im im))))) (* (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))))) (- (* (* 0.5 (pow (exp im) -2)) (* 0.5 (pow (exp im) -2))) (* (* 0.5 (- (exp (+ im im)))) (* 0.5 (- (exp (+ im im)))))) (- (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (+ (pow (exp im) -2) (- (exp (+ im im)))) (* im -2) (* (log (exp im)) -2) (* 1 -2) (* (cbrt im) -2) (* (sqrt im) -2) (* im -2) (pow (exp im) (* (cbrt -2) (cbrt -2))) (pow (exp im) (sqrt -2)) (pow (exp im) 1) (pow (* (cbrt (exp im)) (cbrt (exp im))) -2) (pow (cbrt (exp im)) -2) (pow (sqrt (exp im)) -2) (pow (sqrt (exp im)) -2) (pow 1 -2) (pow (exp im) -2) (log (pow (exp im) -2)) (exp (pow (exp im) -2)) (* (cbrt (pow (exp im) -2)) (cbrt (pow (exp im) -2))) (cbrt (pow (exp im) -2)) (* (* (pow (exp im) -2) (pow (exp im) -2)) (pow (exp im) -2)) (sqrt (pow (exp im) -2)) (sqrt (pow (exp im) -2)) (pow (exp im) (/ -2 2)) (pow (exp im) (/ -2 2)) (- (+ (log (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (log (cos re))) (log (- (exp (- im)) (exp im)))) (- (log (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re))) (log (- (exp (- im)) (exp im)))) (log (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))) (exp (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))) (/ (* (* (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (* (* (cos re) (cos re)) (cos re))) (* (* (- (exp (- im)) (exp im)) (- (exp (- im)) (exp im))) (- (exp (- im)) (exp im)))) (/ (* (* (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re))) (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re))) (* (* (- (exp (- im)) (exp im)) (- (exp (- im)) (exp im))) (- (exp (- im)) (exp im)))) (* (cbrt (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))) (cbrt (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im))))) (cbrt (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))) (* (* (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im))) (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))) (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))) (sqrt (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))) (sqrt (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))) (- (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re))) (- (- (exp (- im)) (exp im))) (/ (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (* (cbrt (- (exp (- im)) (exp im))) (cbrt (- (exp (- im)) (exp im))))) (/ (cos re) (cbrt (- (exp (- im)) (exp im)))) (/ (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (sqrt (- (exp (- im)) (exp im)))) (/ (cos re) (sqrt (- (exp (- im)) (exp im)))) (/ (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) 1) (/ (cos re) (- (exp (- im)) (exp im))) (/ (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (+ (sqrt (exp (- im))) (sqrt (exp im)))) (/ (cos re) (- (sqrt (exp (- im))) (sqrt (exp im)))) (/ (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) 1) (/ (cos re) (- (exp (- im)) (exp im))) (/ 1 (- (exp (- im)) (exp im))) (/ (- (exp (- im)) (exp im)) (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re))) (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (* (cbrt (- (exp (- im)) (exp im))) (cbrt (- (exp (- im)) (exp im))))) (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (sqrt (- (exp (- im)) (exp im)))) (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) 1) (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (+ (sqrt (exp (- im))) (sqrt (exp im)))) (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) 1) (/ (- (exp (- im)) (exp im)) (cos re)) (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (pow (exp (- im)) 3) (pow (exp im) 3))) (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (* (- (exp (- im)) (exp im)) (+ (* (* 0.5 (pow (exp im) -2)) (* 0.5 (pow (exp im) -2))) (- (* (* 0.5 (- (exp (+ im im)))) (* 0.5 (- (exp (+ im im))))) (* (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))))) (* (- (exp (- im)) (exp im)) (- (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (- (exp (- im)) (exp im)) (- (exp (* -1 im)) (exp im)) (- (+ (* 1.3333333333333333 (pow im 3)) (+ (* 0.26666666666666666 (pow im 5)) (* 2.0 im)))) (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im)))) (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im)))) (- (+ (* 2 (pow im 2)) 1) (* 2 im)) (/ 1 (pow (exp im) 2)) (/ 1 (pow (exp im) 2)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (/ (* (cos re) (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im))))) (- (exp (- im)) (exp im))) (/ (* (cos re) (- (* 0.5 (/ 1 (pow (exp im) 2))) (* 0.5 (exp (* 2 im))))) (- (exp (* -1 im)) (exp im))) 2.074 * * [simplify]: iteration 0 : 458 enodes (cost 973 ) 2.083 * * [simplify]: iteration 1 : 2062 enodes (cost 801 ) 2.121 * * [simplify]: iteration 2 : 5002 enodes (cost 787 ) 2.124 * [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)) (+ (+ (pow (exp -1) (* 2 im)) (pow (exp im) 2)) 1) (- (exp im)) (- (pow (exp im) -2) (pow (exp im) 2)) (+ (exp (- im)) (exp im)) (+ (sqrt (exp (- im))) (sqrt (exp im))) (- (sqrt (exp (- im))) (sqrt (exp im))) (- (exp (* -1 im)) (exp im)) (- (exp im)) (pow (exp 0.5) (- (pow (exp im) -2) (pow (exp im) 2))) (+ (log 0.5) (log (- (pow (exp im) -2) (pow (exp im) 2)))) (pow (exp 0.5) (- (pow (exp im) -2) (pow (exp im) 2))) (* (cbrt (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (cbrt (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))))) (cbrt (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (pow (* (- (pow (exp im) -2) (pow (exp im) 2)) 0.5) 3) (sqrt (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (sqrt (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))) (+ (pow (* 0.5 (pow (exp im) -2)) 3) (pow (* 0.5 (- (exp (+ im im)))) 3)) (+ (* (* 0.5 0.5) (+ (pow (exp im) -4) (* (pow (exp im) 2) (pow (exp im) 2)))) (* (* 0.5 (exp (* 2 im))) (* 0.5 (pow (exp im) -2)))) (* (* 0.5 0.5) (- (pow (exp im) -4) (* (pow (exp im) 2) (pow (exp im) 2)))) (* 0.5 (- (pow (exp im) -2) (- (exp (+ im im))))) (- (pow (exp im) -2) (pow (exp im) 2)) (* im -2) (* im -2) -2 (* (cbrt im) -2) (* (sqrt im) -2) (* im -2) (pow (exp im) (* (cbrt -2) (cbrt -2))) (pow (exp im) (sqrt -2)) (exp im) (pow (* (cbrt (exp im)) (cbrt (exp im))) -2) (pow (cbrt (exp im)) -2) (exp (* -1 im)) (exp (* -1 im)) 1 (pow (exp im) -2) (* im -2) (exp (pow (exp im) -2)) (* (cbrt (pow (exp im) -2)) (cbrt (pow (exp im) -2))) (cbrt (pow (exp im) -2)) (pow (pow (exp im) -2) 3) (sqrt (pow (exp im) -2)) (sqrt (pow (exp im) -2)) (exp (* -1 im)) (exp (* -1 im)) (- (log 0.5) (log (/ (/ (- (exp (- im)) (exp im)) (cos re)) (- (pow (exp im) -2) (pow (exp im) 2))))) (- (log 0.5) (log (/ (/ (- (exp (- im)) (exp im)) (cos re)) (- (pow (exp im) -2) (pow (exp im) 2))))) (- (log 0.5) (log (/ (/ (- (exp (- im)) (exp im)) (cos re)) (- (pow (exp im) -2) (pow (exp im) 2))))) (pow (exp (/ (cos re) (- (exp (* -1 im)) (exp im)))) (* (- (pow (exp im) -2) (pow (exp im) 2)) 0.5)) (pow (/ 0.5 (/ (/ (- (exp (- im)) (exp im)) (cos re)) (- (pow (exp im) -2) (pow (exp im) 2)))) 3) (pow (/ 0.5 (/ (/ (- (exp (- im)) (exp im)) (cos re)) (- (pow (exp im) -2) (pow (exp im) 2)))) 3) (* (cbrt (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))) (cbrt (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im))))) (cbrt (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))) (pow (/ 0.5 (/ (/ (- (exp (- im)) (exp im)) (cos re)) (- (pow (exp im) -2) (pow (exp im) 2)))) 3) (sqrt (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))) (sqrt (/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))) (* 0.5 (* (- (pow (exp im) -2) (pow (exp im) 2)) (- (cos re)))) (- (- (exp (- im)) (exp im))) (* (/ 0.5 (cbrt (- (exp (- im)) (exp im)))) (/ (- (pow (exp im) -2) (pow (exp im) 2)) (cbrt (- (exp (- im)) (exp im))))) (/ (cos re) (cbrt (- (exp (- im)) (exp im)))) (/ 0.5 (/ (sqrt (- (exp (- im)) (exp im))) (- (pow (exp im) -2) (pow (exp im) 2)))) (/ (cos re) (sqrt (- (exp (- im)) (exp im)))) (* (- (pow (exp im) -2) (pow (exp im) 2)) 0.5) (/ (cos re) (- (exp (* -1 im)) (exp im))) (/ 0.5 (/ (+ (sqrt (exp (- im))) (sqrt (exp im))) (- (pow (exp im) -2) (pow (exp im) 2)))) (/ (cos re) (- (sqrt (exp (- im))) (sqrt (exp im)))) (* (- (pow (exp im) -2) (pow (exp im) 2)) 0.5) (/ (cos re) (- (exp (* -1 im)) (exp im))) (/ 1 (- (exp (- im)) (exp im))) (/ (- (exp (* -1 im)) (exp im)) (* (* (cos re) 0.5) (- (pow (exp im) -2) (pow (exp im) 2)))) (/ (/ (* (* (cos re) 0.5) (- (pow (exp im) -2) (pow (exp im) 2))) (cbrt (- (exp (- im)) (exp im)))) (cbrt (- (exp (- im)) (exp im)))) (/ 0.5 (/ (/ (sqrt (- (exp (- im)) (exp im))) (cos re)) (- (pow (exp im) -2) (pow (exp im) 2)))) (* (* (cos re) 0.5) (- (pow (exp im) -2) (pow (exp im) 2))) (/ 0.5 (/ (/ (+ (sqrt (exp (- im))) (sqrt (exp im))) (cos re)) (- (pow (exp im) -2) (pow (exp im) 2)))) (* (* (cos re) 0.5) (- (pow (exp im) -2) (pow (exp im) 2))) (/ (- (exp (- im)) (exp im)) (cos re)) (/ 0.5 (/ (/ (- (pow (exp (- im)) 3) (pow (exp im) 3)) (cos re)) (- (pow (exp im) -2) (pow (exp im) 2)))) (* (/ (cos re) (- (pow (exp im) -2) (pow (exp im) 2))) (/ (* (- (pow (exp im) -2) (pow (exp im) 2)) 0.5) 1)) (* (+ (* (* 0.5 0.5) (+ (pow (exp im) -4) (* (pow (exp im) 2) (pow (exp im) 2)))) (* (* 0.5 (exp (* 2 im))) (* 0.5 (pow (exp im) -2)))) (- (exp (* -1 im)) (exp im))) (* (* 0.5 (- (pow (exp im) -2) (- (exp (+ im im))))) (- (exp (- im)) (exp im))) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (- (exp (* -1 im)) (exp im)) (- (exp (* -1 im)) (exp im)) (- (+ (* 1.3333333333333333 (pow im 3)) (+ (* 0.26666666666666666 (pow im 5)) (* 2.0 im)))) (* (- (pow (exp im) -2) (pow (exp im) 2)) 0.5) (* (- (pow (exp im) -2) (pow (exp im) 2)) 0.5) (- (+ (* 2 (pow im 2)) 1) (* 2 im)) (pow (exp im) -2) (pow (exp im) -2) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (/ 0.5 (/ (/ (- (exp (- im)) (exp im)) (cos re)) (- (pow (exp im) -2) (pow (exp im) 2)))) (/ 0.5 (/ (/ (- (exp (- im)) (exp im)) (cos re)) (- (pow (exp im) -2) (pow (exp im) 2)))) 2.125 * * * [progress]: adding candidates to table 2.422 * [progress]: [Phase 3 of 3] Extracting. 2.422 * * [regime]: Finding splitpoints for: (# # #) 2.423 * * * [regime-changes]: Trying 6 branch expressions: ((+ (exp (- im)) (exp im)) (cos re) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) im re) 2.423 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# # #) 2.444 * * * * [regimes]: Trying to branch on (cos re) from (# # #) 2.467 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# # #) 2.488 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# # #) 2.518 * * * * [regimes]: Trying to branch on im from (# # #) 2.536 * * * * [regimes]: Trying to branch on re from (# # #) 2.557 * * * [regime]: Found split indices: #