25.084 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.087 * * * [progress]: [2/2] Setting up program. 0.090 * [progress]: [Phase 2 of 3] Improving. 0.090 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.092 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.093 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.095 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.097 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.100 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.104 * * [simplify]: iteration 5 : 629 enodes (cost 7 ) 0.111 * * [simplify]: iteration 6 : 1415 enodes (cost 7 ) 0.122 * * [simplify]: iteration 7 : 2148 enodes (cost 7 ) 0.158 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.159 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.159 * * [progress]: iteration 1 / 4 0.159 * * * [progress]: picking best candidate 0.161 * * * * [pick]: Picked # 0.161 * * * [progress]: localizing error 0.171 * * * [progress]: generating rewritten candidates 0.171 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.181 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.186 * * * [progress]: generating series expansions 0.186 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.187 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.187 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.187 * [taylor]: Taking taylor expansion of 0.5 in im 0.187 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.187 * [taylor]: Taking taylor expansion of (cos re) in im 0.187 * [taylor]: Taking taylor expansion of re in im 0.187 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.187 * [taylor]: Taking taylor expansion of (exp im) in im 0.187 * [taylor]: Taking taylor expansion of im in im 0.187 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.187 * [taylor]: Taking taylor expansion of (- im) in im 0.187 * [taylor]: Taking taylor expansion of im in im 0.187 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.188 * [taylor]: Taking taylor expansion of 0.5 in re 0.188 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.188 * [taylor]: Taking taylor expansion of (cos re) in re 0.188 * [taylor]: Taking taylor expansion of re in re 0.188 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.188 * [taylor]: Taking taylor expansion of (exp im) in re 0.188 * [taylor]: Taking taylor expansion of im in re 0.188 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.188 * [taylor]: Taking taylor expansion of (- im) in re 0.188 * [taylor]: Taking taylor expansion of im in re 0.188 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.188 * [taylor]: Taking taylor expansion of 0.5 in re 0.188 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.188 * [taylor]: Taking taylor expansion of (cos re) in re 0.188 * [taylor]: Taking taylor expansion of re in re 0.188 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.188 * [taylor]: Taking taylor expansion of (exp im) in re 0.188 * [taylor]: Taking taylor expansion of im in re 0.188 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.188 * [taylor]: Taking taylor expansion of (- im) in re 0.188 * [taylor]: Taking taylor expansion of im in re 0.188 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.188 * [taylor]: Taking taylor expansion of 0.5 in im 0.188 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.188 * [taylor]: Taking taylor expansion of (exp im) in im 0.188 * [taylor]: Taking taylor expansion of im in im 0.188 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.188 * [taylor]: Taking taylor expansion of (- im) in im 0.188 * [taylor]: Taking taylor expansion of im in im 0.192 * [taylor]: Taking taylor expansion of 0 in im 0.198 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.198 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.198 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.198 * [taylor]: Taking taylor expansion of 0.25 in im 0.198 * [taylor]: Taking taylor expansion of (exp im) in im 0.198 * [taylor]: Taking taylor expansion of im in im 0.198 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.198 * [taylor]: Taking taylor expansion of 0.25 in im 0.198 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.198 * [taylor]: Taking taylor expansion of (- im) in im 0.198 * [taylor]: Taking taylor expansion of im in im 0.204 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.204 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.204 * [taylor]: Taking taylor expansion of 0.5 in im 0.204 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.204 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.204 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.204 * [taylor]: Taking taylor expansion of re in im 0.204 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.204 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.204 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.204 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.205 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.205 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.205 * [taylor]: Taking taylor expansion of im in im 0.205 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.205 * [taylor]: Taking taylor expansion of 0.5 in re 0.205 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.205 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.205 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.206 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.206 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.206 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.206 * [taylor]: Taking taylor expansion of im in re 0.206 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.206 * [taylor]: Taking taylor expansion of im in re 0.206 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.206 * [taylor]: Taking taylor expansion of 0.5 in re 0.206 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.206 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.206 * [taylor]: Taking taylor expansion of re in re 0.206 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.206 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.206 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.206 * [taylor]: Taking taylor expansion of im in re 0.207 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.207 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.207 * [taylor]: Taking taylor expansion of 0.5 in im 0.207 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.207 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.207 * [taylor]: Taking taylor expansion of re in im 0.207 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.207 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.207 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.208 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.208 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.208 * [taylor]: Taking taylor expansion of im in im 0.211 * [taylor]: Taking taylor expansion of 0 in im 0.217 * [taylor]: Taking taylor expansion of 0 in im 0.225 * [taylor]: Taking taylor expansion of 0 in im 0.226 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.226 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.226 * [taylor]: Taking taylor expansion of 0.5 in im 0.226 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.226 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.226 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.226 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.226 * [taylor]: Taking taylor expansion of -1 in im 0.226 * [taylor]: Taking taylor expansion of im in im 0.226 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.226 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.226 * [taylor]: Taking taylor expansion of im in im 0.227 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.227 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.227 * [taylor]: Taking taylor expansion of -1 in im 0.227 * [taylor]: Taking taylor expansion of re in im 0.227 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.227 * [taylor]: Taking taylor expansion of 0.5 in re 0.227 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.227 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.227 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.227 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.227 * [taylor]: Taking taylor expansion of -1 in re 0.227 * [taylor]: Taking taylor expansion of im in re 0.227 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.227 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.227 * [taylor]: Taking taylor expansion of im in re 0.227 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.227 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.227 * [taylor]: Taking taylor expansion of -1 in re 0.227 * [taylor]: Taking taylor expansion of re in re 0.227 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.228 * [taylor]: Taking taylor expansion of 0.5 in re 0.228 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.228 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.228 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.228 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.228 * [taylor]: Taking taylor expansion of -1 in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.228 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.228 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.228 * [taylor]: Taking taylor expansion of -1 in re 0.228 * [taylor]: Taking taylor expansion of re in re 0.229 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.229 * [taylor]: Taking taylor expansion of 0.5 in im 0.229 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.229 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.229 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.229 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.229 * [taylor]: Taking taylor expansion of -1 in im 0.229 * [taylor]: Taking taylor expansion of im in im 0.229 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.229 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.229 * [taylor]: Taking taylor expansion of im in im 0.230 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.230 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.230 * [taylor]: Taking taylor expansion of -1 in im 0.230 * [taylor]: Taking taylor expansion of re in im 0.232 * [taylor]: Taking taylor expansion of 0 in im 0.238 * [taylor]: Taking taylor expansion of 0 in im 0.251 * [taylor]: Taking taylor expansion of 0 in im 0.251 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.251 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.251 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.251 * [taylor]: Taking taylor expansion of (exp im) in im 0.251 * [taylor]: Taking taylor expansion of im in im 0.251 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.251 * [taylor]: Taking taylor expansion of (- im) in im 0.251 * [taylor]: Taking taylor expansion of im in im 0.252 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.252 * [taylor]: Taking taylor expansion of (exp im) in im 0.252 * [taylor]: Taking taylor expansion of im in im 0.252 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.252 * [taylor]: Taking taylor expansion of (- im) in im 0.252 * [taylor]: Taking taylor expansion of im in im 0.268 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 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 im) in im 0.268 * [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 0.269 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 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 (/ 1 im) in im 0.269 * [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 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.271 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.271 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.271 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.271 * [taylor]: Taking taylor expansion of -1 in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.272 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.272 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.272 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.272 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.272 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.272 * [taylor]: Taking taylor expansion of -1 in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.273 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.273 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.273 * [taylor]: Taking taylor expansion of im in im 0.275 * * * [progress]: simplifying candidates 0.275 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (- im)) (exp im)))) (+ (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (exp (- im))) (* (* 0.5 (cos re)) (exp im)) (* (exp (- im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (* (exp (exp (- im))) (exp (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))) (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 0.279 * * [simplify]: iteration 0 : 249 enodes (cost 347 ) 0.284 * * [simplify]: iteration 1 : 1229 enodes (cost 286 ) 0.309 * * [simplify]: iteration 2 : 5001 enodes (cost 284 ) 0.310 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (cos re) (+ (exp im) (exp (- im)))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (exp (+ (exp (- im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (pow (+ (exp (* -1 im)) (exp im)) 3) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)) (+ (- (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (- im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 0.310 * * * [progress]: adding candidates to table 0.404 * * [progress]: iteration 2 / 4 0.404 * * * [progress]: picking best candidate 0.411 * * * * [pick]: Picked # 0.411 * * * [progress]: localizing error 0.425 * * * [progress]: generating rewritten candidates 0.425 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.430 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.441 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.445 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.453 * * * [progress]: generating series expansions 0.453 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.453 * [approximate]: Taking taylor expansion of (pow (+ (exp (* -1 im)) (exp im)) 3) in (im) around 0 0.453 * [taylor]: Taking taylor expansion of (pow (+ (exp (* -1 im)) (exp im)) 3) in im 0.453 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.453 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.453 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.453 * [taylor]: Taking taylor expansion of -1 in im 0.453 * [taylor]: Taking taylor expansion of im in im 0.454 * [taylor]: Taking taylor expansion of (exp im) in im 0.454 * [taylor]: Taking taylor expansion of im in im 0.455 * [taylor]: Taking taylor expansion of (pow (+ (exp (* -1 im)) (exp im)) 3) in im 0.455 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.455 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.455 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.455 * [taylor]: Taking taylor expansion of -1 in im 0.455 * [taylor]: Taking taylor expansion of im in im 0.455 * [taylor]: Taking taylor expansion of (exp im) in im 0.455 * [taylor]: Taking taylor expansion of im in im 0.478 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in (im) around 0 0.478 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 0.478 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.478 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.478 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.478 * [taylor]: Taking taylor expansion of -1 in im 0.478 * [taylor]: Taking taylor expansion of im in im 0.479 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.479 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.479 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 0.479 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.479 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.479 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.479 * [taylor]: Taking taylor expansion of -1 in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.479 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.479 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.492 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in (im) around 0 0.492 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 0.492 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.492 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.492 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.492 * [taylor]: Taking taylor expansion of -1 in im 0.492 * [taylor]: Taking taylor expansion of im in im 0.492 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.492 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.492 * [taylor]: Taking taylor expansion of im in im 0.493 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 0.493 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.493 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.493 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.493 * [taylor]: Taking taylor expansion of -1 in im 0.493 * [taylor]: Taking taylor expansion of im in im 0.493 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.493 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.493 * [taylor]: Taking taylor expansion of im in im 0.505 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.505 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) in (re im) around 0 0.505 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) in im 0.505 * [taylor]: Taking taylor expansion of 0.5 in im 0.505 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (cos re)) in im 0.505 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.505 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.505 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.505 * [taylor]: Taking taylor expansion of -1 in im 0.505 * [taylor]: Taking taylor expansion of im in im 0.506 * [taylor]: Taking taylor expansion of (exp im) in im 0.506 * [taylor]: Taking taylor expansion of im in im 0.506 * [taylor]: Taking taylor expansion of (cos re) in im 0.506 * [taylor]: Taking taylor expansion of re in im 0.506 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) in re 0.506 * [taylor]: Taking taylor expansion of 0.5 in re 0.506 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (cos re)) in re 0.506 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in re 0.506 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in re 0.506 * [taylor]: Taking taylor expansion of (* -1 im) in re 0.506 * [taylor]: Taking taylor expansion of -1 in re 0.506 * [taylor]: Taking taylor expansion of im in re 0.506 * [taylor]: Taking taylor expansion of (exp im) in re 0.506 * [taylor]: Taking taylor expansion of im in re 0.506 * [taylor]: Taking taylor expansion of (cos re) in re 0.506 * [taylor]: Taking taylor expansion of re in re 0.506 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) in re 0.506 * [taylor]: Taking taylor expansion of 0.5 in re 0.506 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (cos re)) in re 0.506 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in re 0.506 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in re 0.506 * [taylor]: Taking taylor expansion of (* -1 im) in re 0.506 * [taylor]: Taking taylor expansion of -1 in re 0.506 * [taylor]: Taking taylor expansion of im in re 0.507 * [taylor]: Taking taylor expansion of (exp im) in re 0.507 * [taylor]: Taking taylor expansion of im in re 0.507 * [taylor]: Taking taylor expansion of (cos re) in re 0.507 * [taylor]: Taking taylor expansion of re in re 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp (* -1 im)) (exp im))) in im 0.507 * [taylor]: Taking taylor expansion of 0.5 in im 0.507 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.507 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.507 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.507 * [taylor]: Taking taylor expansion of -1 in im 0.507 * [taylor]: Taking taylor expansion of im in im 0.508 * [taylor]: Taking taylor expansion of (exp im) in im 0.508 * [taylor]: Taking taylor expansion of im in im 0.511 * [taylor]: Taking taylor expansion of 0 in im 0.516 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp (* -1 im))) (* 0.25 (exp im)))) in im 0.516 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp (* -1 im))) (* 0.25 (exp im))) in im 0.516 * [taylor]: Taking taylor expansion of (* 0.25 (exp (* -1 im))) in im 0.516 * [taylor]: Taking taylor expansion of 0.25 in im 0.516 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.516 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.516 * [taylor]: Taking taylor expansion of -1 in im 0.516 * [taylor]: Taking taylor expansion of im in im 0.517 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.517 * [taylor]: Taking taylor expansion of 0.25 in im 0.517 * [taylor]: Taking taylor expansion of (exp im) in im 0.517 * [taylor]: Taking taylor expansion of im in im 0.523 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in (re im) around 0 0.523 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in im 0.523 * [taylor]: Taking taylor expansion of 0.5 in im 0.523 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re))) in im 0.523 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.523 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.523 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.523 * [taylor]: Taking taylor expansion of -1 in im 0.523 * [taylor]: Taking taylor expansion of im in im 0.523 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.523 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.523 * [taylor]: Taking taylor expansion of im in im 0.524 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.524 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.524 * [taylor]: Taking taylor expansion of re in im 0.524 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in re 0.524 * [taylor]: Taking taylor expansion of 0.5 in re 0.524 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re))) in re 0.524 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.524 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.524 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.524 * [taylor]: Taking taylor expansion of -1 in re 0.524 * [taylor]: Taking taylor expansion of im in re 0.524 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.524 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.524 * [taylor]: Taking taylor expansion of im in re 0.524 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.524 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.524 * [taylor]: Taking taylor expansion of re in re 0.524 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in re 0.524 * [taylor]: Taking taylor expansion of 0.5 in re 0.524 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re))) in re 0.524 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.524 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.524 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.525 * [taylor]: Taking taylor expansion of -1 in re 0.525 * [taylor]: Taking taylor expansion of im in re 0.525 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.525 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.525 * [taylor]: Taking taylor expansion of im in re 0.525 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.525 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.525 * [taylor]: Taking taylor expansion of re in re 0.525 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in im 0.525 * [taylor]: Taking taylor expansion of 0.5 in im 0.525 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re))) in im 0.525 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.525 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.525 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.525 * [taylor]: Taking taylor expansion of -1 in im 0.525 * [taylor]: Taking taylor expansion of im in im 0.526 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.526 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.526 * [taylor]: Taking taylor expansion of im in im 0.526 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.526 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.526 * [taylor]: Taking taylor expansion of re in im 0.529 * [taylor]: Taking taylor expansion of 0 in im 0.534 * [taylor]: Taking taylor expansion of 0 in im 0.542 * [taylor]: Taking taylor expansion of 0 in im 0.542 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.542 * [taylor]: Taking taylor expansion of 0.5 in im 0.542 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.542 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.542 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.542 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.542 * [taylor]: Taking taylor expansion of -1 in im 0.542 * [taylor]: Taking taylor expansion of im in im 0.543 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.543 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.543 * [taylor]: Taking taylor expansion of im in im 0.543 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.543 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.543 * [taylor]: Taking taylor expansion of -1 in im 0.543 * [taylor]: Taking taylor expansion of re in im 0.543 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.543 * [taylor]: Taking taylor expansion of 0.5 in re 0.543 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.543 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.543 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.543 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.543 * [taylor]: Taking taylor expansion of -1 in re 0.543 * [taylor]: Taking taylor expansion of im in re 0.543 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.543 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.543 * [taylor]: Taking taylor expansion of im in re 0.543 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.543 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.543 * [taylor]: Taking taylor expansion of -1 in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.544 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.544 * [taylor]: Taking taylor expansion of 0.5 in re 0.544 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.544 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.544 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.544 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.544 * [taylor]: Taking taylor expansion of -1 in re 0.544 * [taylor]: Taking taylor expansion of im in re 0.544 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.544 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.544 * [taylor]: Taking taylor expansion of im in re 0.544 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.544 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.544 * [taylor]: Taking taylor expansion of -1 in re 0.544 * [taylor]: Taking taylor expansion of re in re 0.545 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.545 * [taylor]: Taking taylor expansion of 0.5 in im 0.545 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.545 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.545 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.545 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.545 * [taylor]: Taking taylor expansion of -1 in im 0.545 * [taylor]: Taking taylor expansion of im in im 0.545 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.545 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.545 * [taylor]: Taking taylor expansion of im in im 0.546 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.546 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.546 * [taylor]: Taking taylor expansion of -1 in im 0.546 * [taylor]: Taking taylor expansion of re in im 0.548 * [taylor]: Taking taylor expansion of 0 in im 0.554 * [taylor]: Taking taylor expansion of 0 in im 0.565 * [taylor]: Taking taylor expansion of 0 in im 0.566 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.566 * [approximate]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in (im) around 0 0.566 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.566 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.566 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.566 * [taylor]: Taking taylor expansion of -1 in im 0.566 * [taylor]: Taking taylor expansion of im in im 0.567 * [taylor]: Taking taylor expansion of (exp im) in im 0.567 * [taylor]: Taking taylor expansion of im in im 0.567 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.567 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.567 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.567 * [taylor]: Taking taylor expansion of -1 in im 0.567 * [taylor]: Taking taylor expansion of im in im 0.567 * [taylor]: Taking taylor expansion of (exp im) in im 0.567 * [taylor]: Taking taylor expansion of im in im 0.580 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.580 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.580 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.581 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.581 * [taylor]: Taking taylor expansion of -1 in im 0.581 * [taylor]: Taking taylor expansion of im in im 0.581 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.581 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.581 * [taylor]: Taking taylor expansion of im in im 0.581 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.581 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.581 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.581 * [taylor]: Taking taylor expansion of -1 in im 0.581 * [taylor]: Taking taylor expansion of im 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 0.584 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.584 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.584 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.584 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.584 * [taylor]: Taking taylor expansion of -1 in im 0.584 * [taylor]: Taking taylor expansion of im in im 0.584 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.584 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.584 * [taylor]: Taking taylor expansion of im in im 0.585 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.585 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.585 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.585 * [taylor]: Taking taylor expansion of -1 in im 0.585 * [taylor]: Taking taylor expansion of im in im 0.585 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.585 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.585 * [taylor]: Taking taylor expansion of im in im 0.587 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.587 * [approximate]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in (im) around 0 0.587 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.587 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.587 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.587 * [taylor]: Taking taylor expansion of -1 in im 0.587 * [taylor]: Taking taylor expansion of im in im 0.588 * [taylor]: Taking taylor expansion of (exp im) in im 0.588 * [taylor]: Taking taylor expansion of im in im 0.588 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.588 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.588 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.588 * [taylor]: Taking taylor expansion of -1 in im 0.588 * [taylor]: Taking taylor expansion of im in im 0.589 * [taylor]: Taking taylor expansion of (exp im) in im 0.589 * [taylor]: Taking taylor expansion of im in im 0.602 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.602 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.602 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.602 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.602 * [taylor]: Taking taylor expansion of -1 in im 0.602 * [taylor]: Taking taylor expansion of im in im 0.603 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.603 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.603 * [taylor]: Taking taylor expansion of im in im 0.603 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.603 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.603 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.603 * [taylor]: Taking taylor expansion of -1 in im 0.603 * [taylor]: Taking taylor expansion of im in im 0.603 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.603 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.603 * [taylor]: Taking taylor expansion of im in im 0.605 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.606 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.606 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.606 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.606 * [taylor]: Taking taylor expansion of -1 in im 0.606 * [taylor]: Taking taylor expansion of im in im 0.606 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.606 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.606 * [taylor]: Taking taylor expansion of im in im 0.606 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.606 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.606 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.606 * [taylor]: Taking taylor expansion of -1 in im 0.606 * [taylor]: Taking taylor expansion of im in im 0.607 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.607 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.607 * [taylor]: Taking taylor expansion of im in im 0.609 * * * [progress]: simplifying candidates 0.610 * [simplify]: Simplifying using # : (* (log (+ (exp (* -1 im)) (exp im))) 3) (* (log (+ (exp (* -1 im)) (exp im))) 3) (* 1 3) (pow (+ (exp (* -1 im)) (exp im)) (* (cbrt 3) (cbrt 3))) (pow (+ (exp (* -1 im)) (exp im)) (sqrt 3)) (pow (+ (exp (* -1 im)) (exp im)) 1) (pow (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) 3) (pow (cbrt (+ (exp (* -1 im)) (exp im))) 3) (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3) (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3) (pow 1 3) (pow (+ (exp (* -1 im)) (exp im)) 3) (pow 1 3) (pow (+ (exp (* -1 im)) (exp im)) 3) (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (log (pow (+ (exp (* -1 im)) (exp im)) 3)) (exp (pow (+ (exp (* -1 im)) (exp im)) 3)) (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (* (* (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (+ (exp (* -1 im)) (exp im)) 3)) (pow (+ (exp (* -1 im)) (exp im)) 3)) (pow (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) 3) (pow (cbrt (+ (exp (* -1 im)) (exp im))) 3) (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3) (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3) (pow 1 3) (pow (+ (exp (* -1 im)) (exp im)) 3) (pow 1 3) (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) 3) (pow (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))) 3) (pow (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) 3) (pow (- (exp (* -1 im)) (exp im)) 3) (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (pow (+ (exp (* -1 im)) (exp im)) (/ 3 2)) (pow (+ (exp (* -1 im)) (exp im)) (/ 3 2)) (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (+ (+ (log 0.5) (log (cos re))) (log (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (+ (log (* 0.5 (cos re))) (log (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (log (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (exp (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (pow (+ (exp (* -1 im)) (exp im)) 3)) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (pow (+ (exp (* -1 im)) (exp im)) 3)) (* (cbrt (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (cbrt (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))))) (cbrt (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (* (* (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (sqrt (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (sqrt (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (* (* 0.5 (cos re)) (cbrt (pow (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) 3))) (* (* 0.5 (cos re)) (cbrt (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3))) (* (* 0.5 (cos re)) (cbrt (pow 1 3))) (* (* 0.5 (cos re)) (cbrt (pow 1 3))) (* (* 0.5 (cos re)) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))))) (* (* 0.5 (cos re)) (cbrt (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))))) (* (* 0.5 (cos re)) (cbrt (pow (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) 3))) (* (* 0.5 (cos re)) (cbrt (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3))) (* (* 0.5 (cos re)) (cbrt (pow 1 3))) (* (* 0.5 (cos re)) (cbrt (pow 1 3))) (* (* 0.5 (cos re)) (cbrt (+ (exp (* -1 im)) (exp im)))) (* (* 0.5 (cos re)) (cbrt (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (* (* 0.5 (cos re)) (cbrt 1)) (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) (/ 3 2)))) (* (* 0.5 (cos re)) (* (cbrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (cbrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))))) (* (* 0.5 (cos re)) (sqrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (* (* 0.5 (cos re)) 1) (* (cos re) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (* (* 0.5 (cos re)) (cbrt (pow (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) 3))) (* (* 0.5 (cos re)) (cbrt (pow (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) 3))) (* (exp (exp (* -1 im))) (exp (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (* -1 im)) (exp im))) (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (* (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))) (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) (- (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (log (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (exp (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (cbrt (pow (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) 3)) (cbrt (pow (cbrt (+ (exp (* -1 im)) (exp im))) 3)) (cbrt (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3)) (cbrt (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (cbrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (cbrt (pow (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) 3)) (cbrt (pow (cbrt (+ (exp (* -1 im)) (exp im))) 3)) (cbrt (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3)) (cbrt (pow (sqrt (+ (exp (* -1 im)) (exp im))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)))) (cbrt (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (cbrt (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (cbrt 1) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) (/ 3 2))) (cbrt (pow (+ (exp (* -1 im)) (exp im)) (/ 3 2))) (cbrt (pow (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) 3)) (cbrt (pow (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))) 3)) (cbrt (pow (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) 3)) (cbrt (pow (- (exp (* -1 im)) (exp im)) 3)) (* (cbrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (cbrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (cbrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (* (* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (sqrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (sqrt (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (+ (* 7 (pow im 4)) (+ (* 12 (pow im 2)) 8)) (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (+ (exp (* -1 im)) (exp im)) 3) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 0.616 * * [simplify]: iteration 0 : 363 enodes (cost 875 ) 0.623 * * [simplify]: iteration 1 : 1785 enodes (cost 812 ) 0.661 * * [simplify]: iteration 2 : 5001 enodes (cost 798 ) 0.665 * [simplify]: Simplified to: (log (pow (+ (exp (* -1 im)) (exp im)) 3)) (log (pow (+ (exp (* -1 im)) (exp im)) 3)) 3 (pow (+ (exp (* -1 im)) (exp im)) (* (cbrt 3) (cbrt 3))) (pow (+ (exp (* -1 im)) (exp im)) (sqrt 3)) (+ (exp (* -1 im)) (exp im)) (pow (+ (exp (* -1 im)) (exp im)) 2) (+ (exp (* -1 im)) (exp im)) (pow (+ (exp (* -1 im)) (exp im)) 3/2) (pow (+ (exp (* -1 im)) (exp im)) 3/2) 1 (pow (+ (exp (* -1 im)) (exp im)) 3) 1 (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (+ (exp (* -1 im)) (exp im)) 2) (log (pow (+ (exp (* -1 im)) (exp im)) 3)) (exp (pow (+ (exp (* -1 im)) (exp im)) 3)) (pow (+ (exp (* -1 im)) (exp im)) 2) (+ (exp (* -1 im)) (exp im)) (pow (pow (+ (exp (* -1 im)) (exp im)) 3) 3) (pow (+ (exp (* -1 im)) (exp im)) 2) (+ (exp (* -1 im)) (exp im)) (pow (+ (exp (* -1 im)) (exp im)) 3/2) (pow (+ (exp (* -1 im)) (exp im)) 3/2) 1 (pow (+ (exp (* -1 im)) (exp im)) 3) 1 (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) 3) (pow (- (+ (exp (+ (* -1 im) (* -1 im))) (exp (+ im im))) (exp (+ (* -1 im) im))) 3) (pow (+ (exp (+ (* -1 im) (* -1 im))) (- (exp (+ im im)))) 3) (pow (- (exp (* -1 im)) (exp im)) 3) (pow (+ (exp (* -1 im)) (exp im)) 2) (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (pow (+ (exp (* -1 im)) (exp im)) 3/2) (pow (+ (exp (* -1 im)) (exp im)) 3/2) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (log (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re)))) (log (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re)))) (log (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re)))) (pow (exp 0.5) (* (+ (exp (* -1 im)) (exp im)) (cos re))) (pow (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 3) (pow (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 3) (* (cbrt (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (cbrt (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))))) (cbrt (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (pow (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 3) (sqrt (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (sqrt (* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (* (* 0.5 (cos re)) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))))) (* 0.5 (* (cos re) (sqrt (+ (exp (* -1 im)) (exp im))))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))))) (* (* 0.5 (cos re)) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))))) (* (* 0.5 (cos re)) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))))) (* 0.5 (* (cos re) (sqrt (+ (exp (* -1 im)) (exp im))))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (cbrt (+ (exp (* -1 im)) (exp im)))) (* (* 0.5 (cos re)) (cbrt (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3)))) (* 0.5 (cos re)) (* 0.5 (* (cos re) (sqrt (+ (exp (* -1 im)) (exp im))))) (* (* 0.5 (cos re)) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))))) (* 0.5 (* (cos re) (sqrt (+ (exp (* -1 im)) (exp im))))) (* 0.5 (cos re)) (* (+ (exp (* -1 im)) (exp im)) (cos re)) (* 0.5 (* (cos re) (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)))) (* (+ (exp (+ (* -1 im) (* -1 im))) (- (exp (+ im im)))) (* 0.5 (cos re))) (exp (+ (exp (* -1 im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (* -1 im)) (exp im))) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (pow (+ (exp (* -1 im)) (exp im)) 3) (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) (- (exp (+ im im)) (- (exp (+ (* -1 im) im)) (pow (exp -1) (* 2 im)))) (+ (- (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (* -1 im)) (exp im))) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) 1 (+ (exp (* -1 im)) (exp im)) 1 (+ (exp (* -1 im)) (exp im)) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) 1 (+ (exp (* -1 im)) (exp im)) 1 (+ (exp (* -1 im)) (exp im)) (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)))) (cbrt (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3))) (cbrt (sqrt (pow (+ (exp (* -1 im)) (exp im)) 3))) 1 (+ (exp (* -1 im)) (exp im)) (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) (- (exp (+ im im)) (- (exp (+ (* -1 im) im)) (pow (exp -1) (* 2 im)))) (+ (- (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (* -1 im)) (exp im)) (cbrt (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (pow (+ (exp (* -1 im)) (exp im)) 3) (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (+ (* 7 (pow im 4)) (+ (* 12 (pow im 2)) 8)) (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (+ (exp (* -1 im)) (exp im)) 3) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 0.665 * * * [progress]: adding candidates to table 0.909 * * [progress]: iteration 3 / 4 0.909 * * * [progress]: picking best candidate 0.915 * * * * [pick]: Picked # 0.915 * * * [progress]: localizing error 0.931 * * * [progress]: generating rewritten candidates 0.931 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.944 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.957 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.967 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1) 0.980 * * * [progress]: generating series expansions 0.980 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.981 * [approximate]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in (im) around 0 0.981 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.981 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.981 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.981 * [taylor]: Taking taylor expansion of -1 in im 0.981 * [taylor]: Taking taylor expansion of im in im 0.982 * [taylor]: Taking taylor expansion of (exp im) in im 0.982 * [taylor]: Taking taylor expansion of im in im 0.982 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.982 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.982 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.982 * [taylor]: Taking taylor expansion of -1 in im 0.982 * [taylor]: Taking taylor expansion of im in im 0.983 * [taylor]: Taking taylor expansion of (exp im) in im 0.983 * [taylor]: Taking taylor expansion of im in im 0.996 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.996 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.996 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.996 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.996 * [taylor]: Taking taylor expansion of -1 in im 0.996 * [taylor]: Taking taylor expansion of im in im 0.996 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.996 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.996 * [taylor]: Taking taylor expansion of im in im 0.996 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.996 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.996 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.996 * [taylor]: Taking taylor expansion of -1 in im 0.996 * [taylor]: Taking taylor expansion of im in im 0.997 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.997 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.997 * [taylor]: Taking taylor expansion of im in im 0.999 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.999 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.999 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.999 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.999 * [taylor]: Taking taylor expansion of -1 in im 0.999 * [taylor]: Taking taylor expansion of im in im 0.999 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.999 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.999 * [taylor]: Taking taylor expansion of im in im 1.000 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.000 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.000 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.000 * [taylor]: Taking taylor expansion of -1 in im 1.000 * [taylor]: Taking taylor expansion of im in im 1.000 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.000 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.000 * [taylor]: Taking taylor expansion of im in im 1.002 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.002 * [approximate]: Taking taylor expansion of (pow (+ (exp (* -1 im)) (exp im)) 3) in (im) around 0 1.002 * [taylor]: Taking taylor expansion of (pow (+ (exp (* -1 im)) (exp im)) 3) in im 1.002 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.003 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.003 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.003 * [taylor]: Taking taylor expansion of -1 in im 1.003 * [taylor]: Taking taylor expansion of im in im 1.003 * [taylor]: Taking taylor expansion of (exp im) in im 1.003 * [taylor]: Taking taylor expansion of im in im 1.004 * [taylor]: Taking taylor expansion of (pow (+ (exp (* -1 im)) (exp im)) 3) in im 1.004 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.004 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.004 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.004 * [taylor]: Taking taylor expansion of -1 in im 1.004 * [taylor]: Taking taylor expansion of im in im 1.004 * [taylor]: Taking taylor expansion of (exp im) in im 1.004 * [taylor]: Taking taylor expansion of im in im 1.023 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in (im) around 0 1.023 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 1.023 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.023 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.023 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.023 * [taylor]: Taking taylor expansion of -1 in im 1.023 * [taylor]: Taking taylor expansion of im in im 1.023 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.023 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.023 * [taylor]: Taking taylor expansion of im in im 1.024 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 1.024 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.024 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.024 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.024 * [taylor]: Taking taylor expansion of -1 in im 1.024 * [taylor]: Taking taylor expansion of im in im 1.024 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.024 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.024 * [taylor]: Taking taylor expansion of im in im 1.036 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in (im) around 0 1.036 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 1.036 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.036 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.036 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.036 * [taylor]: Taking taylor expansion of -1 in im 1.036 * [taylor]: Taking taylor expansion of im in im 1.037 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.037 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.037 * [taylor]: Taking taylor expansion of im in im 1.037 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 3) in im 1.037 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.037 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.037 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.037 * [taylor]: Taking taylor expansion of -1 in im 1.037 * [taylor]: Taking taylor expansion of im in im 1.037 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.037 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.037 * [taylor]: Taking taylor expansion of im in im 1.049 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.049 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) in (re im) around 0 1.049 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) in im 1.050 * [taylor]: Taking taylor expansion of 0.5 in im 1.050 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (cos re)) in im 1.050 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.050 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.050 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.050 * [taylor]: Taking taylor expansion of -1 in im 1.050 * [taylor]: Taking taylor expansion of im in im 1.050 * [taylor]: Taking taylor expansion of (exp im) in im 1.050 * [taylor]: Taking taylor expansion of im in im 1.050 * [taylor]: Taking taylor expansion of (cos re) in im 1.050 * [taylor]: Taking taylor expansion of re in im 1.050 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) in re 1.050 * [taylor]: Taking taylor expansion of 0.5 in re 1.050 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (cos re)) in re 1.050 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in re 1.050 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in re 1.051 * [taylor]: Taking taylor expansion of (* -1 im) in re 1.051 * [taylor]: Taking taylor expansion of -1 in re 1.051 * [taylor]: Taking taylor expansion of im in re 1.051 * [taylor]: Taking taylor expansion of (exp im) in re 1.051 * [taylor]: Taking taylor expansion of im in re 1.051 * [taylor]: Taking taylor expansion of (cos re) in re 1.051 * [taylor]: Taking taylor expansion of re in re 1.051 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) in re 1.051 * [taylor]: Taking taylor expansion of 0.5 in re 1.051 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (cos re)) in re 1.051 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in re 1.051 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in re 1.051 * [taylor]: Taking taylor expansion of (* -1 im) in re 1.051 * [taylor]: Taking taylor expansion of -1 in re 1.051 * [taylor]: Taking taylor expansion of im in re 1.051 * [taylor]: Taking taylor expansion of (exp im) in re 1.051 * [taylor]: Taking taylor expansion of im in re 1.051 * [taylor]: Taking taylor expansion of (cos re) in re 1.051 * [taylor]: Taking taylor expansion of re in re 1.051 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp (* -1 im)) (exp im))) in im 1.051 * [taylor]: Taking taylor expansion of 0.5 in im 1.051 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.051 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.051 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.051 * [taylor]: Taking taylor expansion of -1 in im 1.051 * [taylor]: Taking taylor expansion of im in im 1.052 * [taylor]: Taking taylor expansion of (exp im) in im 1.052 * [taylor]: Taking taylor expansion of im in im 1.055 * [taylor]: Taking taylor expansion of 0 in im 1.066 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp (* -1 im))) (* 0.25 (exp im)))) in im 1.066 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp (* -1 im))) (* 0.25 (exp im))) in im 1.066 * [taylor]: Taking taylor expansion of (* 0.25 (exp (* -1 im))) in im 1.066 * [taylor]: Taking taylor expansion of 0.25 in im 1.066 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.066 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.066 * [taylor]: Taking taylor expansion of -1 in im 1.066 * [taylor]: Taking taylor expansion of im in im 1.067 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.067 * [taylor]: Taking taylor expansion of 0.25 in im 1.067 * [taylor]: Taking taylor expansion of (exp im) in im 1.067 * [taylor]: Taking taylor expansion of im in im 1.072 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in (re im) around 0 1.072 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in im 1.073 * [taylor]: Taking taylor expansion of 0.5 in im 1.073 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re))) in im 1.073 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.073 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.073 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.073 * [taylor]: Taking taylor expansion of -1 in im 1.073 * [taylor]: Taking taylor expansion of im in im 1.073 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.073 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.073 * [taylor]: Taking taylor expansion of im in im 1.073 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.073 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.073 * [taylor]: Taking taylor expansion of re in im 1.073 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in re 1.073 * [taylor]: Taking taylor expansion of 0.5 in re 1.073 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re))) in re 1.073 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.073 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.073 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.074 * [taylor]: Taking taylor expansion of -1 in re 1.074 * [taylor]: Taking taylor expansion of im in re 1.074 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.074 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.074 * [taylor]: Taking taylor expansion of im in re 1.074 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.074 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.074 * [taylor]: Taking taylor expansion of re in re 1.074 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in re 1.074 * [taylor]: Taking taylor expansion of 0.5 in re 1.074 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re))) in re 1.074 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.074 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.074 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.074 * [taylor]: Taking taylor expansion of -1 in re 1.074 * [taylor]: Taking taylor expansion of im in re 1.074 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.074 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.074 * [taylor]: Taking taylor expansion of im in re 1.074 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.074 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.074 * [taylor]: Taking taylor expansion of re in re 1.075 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in im 1.075 * [taylor]: Taking taylor expansion of 0.5 in im 1.075 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re))) in im 1.075 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.075 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.075 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.075 * [taylor]: Taking taylor expansion of -1 in im 1.075 * [taylor]: Taking taylor expansion of im in im 1.075 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.075 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.075 * [taylor]: Taking taylor expansion of im in im 1.076 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.076 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.076 * [taylor]: Taking taylor expansion of re in im 1.078 * [taylor]: Taking taylor expansion of 0 in im 1.084 * [taylor]: Taking taylor expansion of 0 in im 1.091 * [taylor]: Taking taylor expansion of 0 in im 1.092 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 1.092 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.092 * [taylor]: Taking taylor expansion of 0.5 in im 1.092 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.092 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.092 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.092 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.092 * [taylor]: Taking taylor expansion of -1 in im 1.092 * [taylor]: Taking taylor expansion of im in im 1.092 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.092 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.092 * [taylor]: Taking taylor expansion of im in im 1.092 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.092 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.092 * [taylor]: Taking taylor expansion of -1 in im 1.092 * [taylor]: Taking taylor expansion of re in im 1.093 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.093 * [taylor]: Taking taylor expansion of 0.5 in re 1.093 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.093 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.093 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.093 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.093 * [taylor]: Taking taylor expansion of -1 in re 1.093 * [taylor]: Taking taylor expansion of im in re 1.093 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.093 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.093 * [taylor]: Taking taylor expansion of im in re 1.093 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.093 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.093 * [taylor]: Taking taylor expansion of -1 in re 1.093 * [taylor]: Taking taylor expansion of re in re 1.093 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.093 * [taylor]: Taking taylor expansion of 0.5 in re 1.093 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.093 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.093 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.093 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.093 * [taylor]: Taking taylor expansion of -1 in re 1.093 * [taylor]: Taking taylor expansion of im in re 1.093 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.093 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.093 * [taylor]: Taking taylor expansion of im in re 1.093 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.094 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.094 * [taylor]: Taking taylor expansion of -1 in re 1.094 * [taylor]: Taking taylor expansion of re in re 1.094 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.094 * [taylor]: Taking taylor expansion of 0.5 in im 1.094 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.094 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.094 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.094 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.094 * [taylor]: Taking taylor expansion of -1 in im 1.094 * [taylor]: Taking taylor expansion of im in im 1.095 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.095 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.095 * [taylor]: Taking taylor expansion of im in im 1.095 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.095 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.095 * [taylor]: Taking taylor expansion of -1 in im 1.095 * [taylor]: Taking taylor expansion of re in im 1.098 * [taylor]: Taking taylor expansion of 0 in im 1.103 * [taylor]: Taking taylor expansion of 0 in im 1.110 * [taylor]: Taking taylor expansion of 0 in im 1.110 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1) 1.111 * [approximate]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in (im) around 0 1.111 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.111 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.111 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.111 * [taylor]: Taking taylor expansion of -1 in im 1.111 * [taylor]: Taking taylor expansion of im in im 1.111 * [taylor]: Taking taylor expansion of (exp im) in im 1.111 * [taylor]: Taking taylor expansion of im in im 1.111 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 1.111 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 1.111 * [taylor]: Taking taylor expansion of (* -1 im) in im 1.112 * [taylor]: Taking taylor expansion of -1 in im 1.112 * [taylor]: Taking taylor expansion of im in im 1.112 * [taylor]: Taking taylor expansion of (exp im) in im 1.112 * [taylor]: Taking taylor expansion of im in im 1.125 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.125 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.125 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.125 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.125 * [taylor]: Taking taylor expansion of -1 in im 1.125 * [taylor]: Taking taylor expansion of im in im 1.126 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.126 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.126 * [taylor]: Taking taylor expansion of im in im 1.126 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.126 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.126 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.126 * [taylor]: Taking taylor expansion of -1 in im 1.126 * [taylor]: Taking taylor expansion of im in im 1.126 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.126 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.126 * [taylor]: Taking taylor expansion of im in im 1.129 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.129 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.129 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.129 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.129 * [taylor]: Taking taylor expansion of -1 in im 1.129 * [taylor]: Taking taylor expansion of im in im 1.129 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.129 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.129 * [taylor]: Taking taylor expansion of im in im 1.129 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.129 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.129 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.129 * [taylor]: Taking taylor expansion of -1 in im 1.129 * [taylor]: Taking taylor expansion of im in im 1.130 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.130 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.130 * [taylor]: Taking taylor expansion of im in im 1.132 * * * [progress]: simplifying candidates 1.134 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (+ 1 1) (+ (log (sqrt (+ (exp (* -1 im)) (exp im)))) (log (sqrt (+ (exp (* -1 im)) (exp im))))) (log (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))))) (exp (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))))) (* (* (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) (sqrt (+ (exp (* -1 im)) (exp im)))) (* (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) (sqrt (+ (exp (* -1 im)) (exp im))))) (* (cbrt (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))))) (cbrt (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))))) (cbrt (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))))) (* (* (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))))) (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))))) (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (sqrt (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))))) (sqrt (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))))) (* (sqrt (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3))) (sqrt (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)))) (* (sqrt (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im))))) (sqrt (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))))) (* (sqrt (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3))) (sqrt (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))))) (* (sqrt (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im))))) (sqrt (- (exp (* -1 im)) (exp im)))) (* (sqrt (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im)))) (sqrt (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)))) (* (sqrt (- (exp (* -1 im)) (exp im))) (sqrt (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))))) (* (sqrt (- 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(pow (+ (exp (* -1 im)) (exp im)) 3/2)) (fabs (pow (+ (exp (* -1 im)) (exp im)) 3/2)) (pow (+ (exp (* -1 im)) (exp im)) 3/2) (pow (+ (exp (* -1 im)) (exp im)) 3/2) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (log (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re)))) (log (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re)))) (log (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re)))) (pow (exp 0.5) (* (+ (exp (* -1 im)) (exp im)) (cos re))) (pow (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 3) (pow (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 3) (* (cbrt (* (* 0.5 (cos re)) (cbrt (pow (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) 3)))) (cbrt (* (* 0.5 (cos re)) (cbrt (pow (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) 3))))) (cbrt (* (* 0.5 (cos re)) (cbrt (pow (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) 3)))) (pow (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 3) (sqrt (* (* 0.5 (cos re)) (cbrt (pow (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) 3)))) (sqrt (* (* 0.5 (cos re)) (cbrt (pow (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) 3)))) (* 0.5 (* (cos re) (sqrt (+ (exp (* -1 im)) (exp im))))) (* (* 0.5 (cos re)) (cbrt (* (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))))))) (* (* 0.5 (cos re)) (cbrt (* (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))))))) (* 0.5 (* (cos re) (sqrt (+ (exp (* -1 im)) (exp im))))) (* (* 0.5 (cos re)) (cbrt (+ (exp (* -1 im)) (exp im)))) (* (* 0.5 (cos re)) (cbrt (sqrt (pow (* (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im)))) 3)))) (* 0.5 (cos re)) (* 0.5 (* (cos re) (sqrt (+ (exp (* -1 im)) (exp im))))) (* (* (* 0.5 (cos re)) (cbrt (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im)))) (* 0.5 (* (cos re) (sqrt (+ (exp (* -1 im)) (exp im))))) (* 0.5 (cos re)) (* (+ (exp (* -1 im)) (exp im)) (cos re)) (* 0.5 (* (cos re) (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)))) (* 0.5 (* (cos re) (* (sqrt (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im)))) (sqrt (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)))))) (* 0.5 (* (cos re) (* (sqrt (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im)))) (sqrt (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)))))) (* (+ (exp (+ (* -1 im) (* -1 im))) (- (exp (+ im im)))) (* 0.5 (cos re))) (* 0.5 (* (cos re) (* (sqrt (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3))) (sqrt (+ (exp (* -1 im)) (exp im)))))) (* 0.5 (* (cos re) (* (sqrt (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im)))) (sqrt (+ (exp (* -1 im)) (exp im)))))) (* 0.5 (* (cos re) (* (sqrt (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3))) (sqrt (+ (exp (* -1 im)) (exp im)))))) (* 0.5 (* (cos re) (* (sqrt (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im)))) (sqrt (+ (exp (* -1 im)) (exp im)))))) (exp (+ (exp (* -1 im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (* -1 im)) (exp im))) (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (pow (+ (exp (* -1 im)) (exp im)) 3) (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) (- (exp (+ im im)) (- (exp (+ (* -1 im) im)) (pow (exp -1) (* 2 im)))) (+ (- (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (+ (* 7 (pow im 4)) (+ (* 12 (pow im 2)) 8)) (pow (+ (exp (* -1 im)) (exp im)) 3) (pow (+ (exp (* -1 im)) (exp im)) 3) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 1.219 * * * [progress]: adding candidates to table 1.615 * * [progress]: iteration 4 / 4 1.615 * * * [progress]: picking best candidate 1.617 * * * * [pick]: Picked # 1.617 * * * [progress]: localizing error 1.631 * * * [progress]: generating rewritten candidates 1.631 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.637 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.642 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.647 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.664 * * * [progress]: generating series expansions 1.664 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.664 * [approximate]: Taking taylor expansion of (pow (+ (exp im) (exp (- im))) 1/3) in (im) around 0 1.664 * [taylor]: Taking taylor expansion of (pow (+ (exp im) (exp (- im))) 1/3) in im 1.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp im) (exp (- im)))))) in im 1.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp im) (exp (- im))))) in im 1.664 * [taylor]: Taking taylor expansion of 1/3 in im 1.664 * [taylor]: Taking taylor expansion of (log (+ (exp im) (exp (- im)))) in im 1.664 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.664 * [taylor]: Taking taylor expansion of (exp im) in im 1.664 * [taylor]: Taking taylor expansion of im in im 1.664 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.664 * [taylor]: Taking taylor expansion of (- im) in im 1.664 * [taylor]: Taking taylor expansion of im in im 1.667 * [taylor]: Taking taylor expansion of (pow (+ (exp im) (exp (- im))) 1/3) in im 1.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp im) (exp (- im)))))) in im 1.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp im) (exp (- im))))) in im 1.667 * [taylor]: Taking taylor expansion of 1/3 in im 1.667 * [taylor]: Taking taylor expansion of (log (+ (exp im) (exp (- im)))) in im 1.667 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.667 * [taylor]: Taking taylor expansion of (exp im) in im 1.667 * [taylor]: Taking taylor expansion of im in im 1.667 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.667 * [taylor]: Taking taylor expansion of (- im) in im 1.667 * [taylor]: Taking taylor expansion of im in im 1.716 * [approximate]: Taking taylor expansion of (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 1/3) in (im) around 0 1.716 * [taylor]: Taking taylor expansion of (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 1/3) in im 1.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.716 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.716 * [taylor]: Taking taylor expansion of 1/3 in im 1.716 * [taylor]: Taking taylor expansion of (log (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.716 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.716 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.716 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.716 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.716 * [taylor]: Taking taylor expansion of im in im 1.717 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.717 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.717 * [taylor]: Taking taylor expansion of im in im 1.717 * [taylor]: Taking taylor expansion of (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 1/3) in im 1.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.717 * [taylor]: Taking taylor expansion of 1/3 in im 1.717 * [taylor]: Taking taylor expansion of (log (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.717 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.717 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.717 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.717 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.717 * [taylor]: Taking taylor expansion of im in im 1.718 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.718 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.718 * [taylor]: Taking taylor expansion of im in im 1.755 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 1/3) in (im) around 0 1.755 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 1/3) in im 1.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ -1 im)) (exp (/ 1 im)))))) in im 1.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ -1 im)) (exp (/ 1 im))))) in im 1.755 * [taylor]: Taking taylor expansion of 1/3 in im 1.755 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.755 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.755 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.755 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.755 * [taylor]: Taking taylor expansion of -1 in im 1.755 * [taylor]: Taking taylor expansion of im in im 1.756 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.756 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.756 * [taylor]: Taking taylor expansion of im in im 1.756 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 1/3) in im 1.756 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ -1 im)) (exp (/ 1 im)))))) in im 1.756 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ -1 im)) (exp (/ 1 im))))) in im 1.756 * [taylor]: Taking taylor expansion of 1/3 in im 1.756 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.756 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.756 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.757 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.757 * [taylor]: Taking taylor expansion of -1 in im 1.757 * [taylor]: Taking taylor expansion of im in im 1.757 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.757 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.757 * [taylor]: Taking taylor expansion of im in im 1.799 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.799 * [approximate]: Taking taylor expansion of (pow (+ (exp im) (exp (- im))) 1/3) in (im) around 0 1.799 * [taylor]: Taking taylor expansion of (pow (+ (exp im) (exp (- im))) 1/3) in im 1.799 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp im) (exp (- im)))))) in im 1.799 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp im) (exp (- im))))) in im 1.799 * [taylor]: Taking taylor expansion of 1/3 in im 1.799 * [taylor]: Taking taylor expansion of (log (+ (exp im) (exp (- im)))) in im 1.799 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.799 * [taylor]: Taking taylor expansion of (exp im) in im 1.800 * [taylor]: Taking taylor expansion of im in im 1.800 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.800 * [taylor]: Taking taylor expansion of (- im) in im 1.800 * [taylor]: Taking taylor expansion of im in im 1.802 * [taylor]: Taking taylor expansion of (pow (+ (exp im) (exp (- im))) 1/3) in im 1.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp im) (exp (- im)))))) in im 1.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp im) (exp (- im))))) in im 1.802 * [taylor]: Taking taylor expansion of 1/3 in im 1.802 * [taylor]: Taking taylor expansion of (log (+ (exp im) (exp (- im)))) in im 1.802 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.802 * [taylor]: Taking taylor expansion of (exp im) in im 1.802 * [taylor]: Taking taylor expansion of im in im 1.802 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.802 * [taylor]: Taking taylor expansion of (- im) in im 1.802 * [taylor]: Taking taylor expansion of im in im 1.853 * [approximate]: Taking taylor expansion of (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 1/3) in (im) around 0 1.853 * [taylor]: Taking taylor expansion of (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 1/3) in im 1.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.853 * [taylor]: Taking taylor expansion of 1/3 in im 1.853 * [taylor]: Taking taylor expansion of (log (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.853 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.853 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.853 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.853 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.853 * [taylor]: Taking taylor expansion of im in im 1.854 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.854 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.854 * [taylor]: Taking taylor expansion of im in im 1.855 * [taylor]: Taking taylor expansion of (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 1/3) in im 1.855 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.855 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.855 * [taylor]: Taking taylor expansion of 1/3 in im 1.855 * [taylor]: Taking taylor expansion of (log (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.855 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.855 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.855 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.855 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.855 * [taylor]: Taking taylor expansion of im in im 1.855 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.855 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.855 * [taylor]: Taking taylor expansion of im in im 1.895 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 1/3) in (im) around 0 1.895 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 1/3) in im 1.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ -1 im)) (exp (/ 1 im)))))) in im 1.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ -1 im)) (exp (/ 1 im))))) in im 1.895 * [taylor]: Taking taylor expansion of 1/3 in im 1.895 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.895 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.895 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.895 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.895 * [taylor]: Taking taylor expansion of -1 in im 1.895 * [taylor]: Taking taylor expansion of im in im 1.896 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.896 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.896 * [taylor]: Taking taylor expansion of im in im 1.896 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 1/3) in im 1.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ -1 im)) (exp (/ 1 im)))))) in im 1.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ -1 im)) (exp (/ 1 im))))) in im 1.896 * [taylor]: Taking taylor expansion of 1/3 in im 1.896 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.896 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.897 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.897 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.897 * [taylor]: Taking taylor expansion of -1 in im 1.897 * [taylor]: Taking taylor expansion of im in im 1.897 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.897 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.897 * [taylor]: Taking taylor expansion of im in im 1.941 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.941 * [approximate]: Taking taylor expansion of (pow (+ (exp im) (exp (- im))) 1/3) in (im) around 0 1.941 * [taylor]: Taking taylor expansion of (pow (+ (exp im) (exp (- im))) 1/3) in im 1.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp im) (exp (- im)))))) in im 1.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp im) (exp (- im))))) in im 1.941 * [taylor]: Taking taylor expansion of 1/3 in im 1.941 * [taylor]: Taking taylor expansion of (log (+ (exp im) (exp (- im)))) in im 1.941 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.941 * [taylor]: Taking taylor expansion of (exp im) in im 1.941 * [taylor]: Taking taylor expansion of im in im 1.941 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.941 * [taylor]: Taking taylor expansion of (- im) in im 1.941 * [taylor]: Taking taylor expansion of im in im 1.944 * [taylor]: Taking taylor expansion of (pow (+ (exp im) (exp (- im))) 1/3) in im 1.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp im) (exp (- im)))))) in im 1.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp im) (exp (- im))))) in im 1.944 * [taylor]: Taking taylor expansion of 1/3 in im 1.944 * [taylor]: Taking taylor expansion of (log (+ (exp im) (exp (- im)))) in im 1.944 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.944 * [taylor]: Taking taylor expansion of (exp im) in im 1.944 * [taylor]: Taking taylor expansion of im in im 1.944 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.944 * [taylor]: Taking taylor expansion of (- im) in im 1.944 * [taylor]: Taking taylor expansion of im in im 1.990 * [approximate]: Taking taylor expansion of (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 1/3) in (im) around 0 1.991 * [taylor]: Taking taylor expansion of (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 1/3) in im 1.991 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.991 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.991 * [taylor]: Taking taylor expansion of 1/3 in im 1.991 * [taylor]: Taking taylor expansion of (log (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.991 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.991 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.991 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.991 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.991 * [taylor]: Taking taylor expansion of im in im 1.991 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.991 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.991 * [taylor]: Taking taylor expansion of im in im 1.992 * [taylor]: Taking taylor expansion of (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 1/3) in im 1.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.992 * [taylor]: Taking taylor expansion of 1/3 in im 1.992 * [taylor]: Taking taylor expansion of (log (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.992 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.992 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.992 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.992 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.992 * [taylor]: Taking taylor expansion of im in im 1.993 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.993 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.993 * [taylor]: Taking taylor expansion of im in im 2.038 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 1/3) in (im) around 0 2.038 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 1/3) in im 2.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ -1 im)) (exp (/ 1 im)))))) in im 2.038 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ -1 im)) (exp (/ 1 im))))) in im 2.038 * [taylor]: Taking taylor expansion of 1/3 in im 2.038 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 2.038 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 2.038 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.038 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.038 * [taylor]: Taking taylor expansion of -1 in im 2.038 * [taylor]: Taking taylor expansion of im in im 2.039 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.039 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.039 * [taylor]: Taking taylor expansion of im in im 2.039 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 1/3) in im 2.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ -1 im)) (exp (/ 1 im)))))) in im 2.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ -1 im)) (exp (/ 1 im))))) in im 2.039 * [taylor]: Taking taylor expansion of 1/3 in im 2.039 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 2.039 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 2.039 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.039 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.039 * [taylor]: Taking taylor expansion of -1 in im 2.039 * [taylor]: Taking taylor expansion of im in im 2.040 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.040 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.040 * [taylor]: Taking taylor expansion of im in im 2.077 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.077 * [approximate]: Taking taylor expansion of (pow (pow (+ (exp im) (exp (- im))) 2) 1/3) in (im) around 0 2.077 * [taylor]: Taking taylor expansion of (pow (pow (+ (exp im) (exp (- im))) 2) 1/3) in im 2.077 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (exp im) (exp (- im))) 2)))) in im 2.077 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (exp im) (exp (- im))) 2))) in im 2.077 * [taylor]: Taking taylor expansion of 1/3 in im 2.077 * [taylor]: Taking taylor expansion of (log (pow (+ (exp im) (exp (- im))) 2)) in im 2.077 * [taylor]: Taking taylor expansion of (pow (+ (exp im) (exp (- im))) 2) in im 2.077 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 2.077 * [taylor]: Taking taylor expansion of (exp im) in im 2.077 * [taylor]: Taking taylor expansion of im in im 2.077 * [taylor]: Taking taylor expansion of (exp (- im)) in im 2.077 * [taylor]: Taking taylor expansion of (- im) in im 2.077 * [taylor]: Taking taylor expansion of im in im 2.080 * [taylor]: Taking taylor expansion of (pow (pow (+ (exp im) (exp (- im))) 2) 1/3) in im 2.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (exp im) (exp (- im))) 2)))) in im 2.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (exp im) (exp (- im))) 2))) in im 2.080 * [taylor]: Taking taylor expansion of 1/3 in im 2.080 * [taylor]: Taking taylor expansion of (log (pow (+ (exp im) (exp (- im))) 2)) in im 2.080 * [taylor]: Taking taylor expansion of (pow (+ (exp im) (exp (- im))) 2) in im 2.080 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 2.080 * [taylor]: Taking taylor expansion of (exp im) in im 2.080 * [taylor]: Taking taylor expansion of im in im 2.080 * [taylor]: Taking taylor expansion of (exp (- im)) in im 2.080 * [taylor]: Taking taylor expansion of (- im) in im 2.080 * [taylor]: Taking taylor expansion of im in im 2.203 * [approximate]: Taking taylor expansion of (pow (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 2) 1/3) in (im) around 0 2.203 * [taylor]: Taking taylor expansion of (pow (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 2) 1/3) in im 2.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 2)))) in im 2.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 2))) in im 2.203 * [taylor]: Taking taylor expansion of 1/3 in im 2.203 * [taylor]: Taking taylor expansion of (log (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 2)) in im 2.203 * [taylor]: Taking taylor expansion of (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 2) in im 2.203 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 2.203 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 2.203 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 2.203 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.203 * [taylor]: Taking taylor expansion of im in im 2.204 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.204 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.204 * [taylor]: Taking taylor expansion of im in im 2.205 * [taylor]: Taking taylor expansion of (pow (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 2) 1/3) in im 2.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 2)))) in im 2.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 2))) in im 2.205 * [taylor]: Taking taylor expansion of 1/3 in im 2.205 * [taylor]: Taking taylor expansion of (log (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 2)) in im 2.205 * [taylor]: Taking taylor expansion of (pow (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 2) in im 2.205 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 2.205 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 2.205 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 2.205 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.205 * [taylor]: Taking taylor expansion of im in im 2.206 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.206 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.206 * [taylor]: Taking taylor expansion of im in im 2.250 * [approximate]: Taking taylor expansion of (pow (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) 1/3) in (im) around 0 2.250 * [taylor]: Taking taylor expansion of (pow (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) 1/3) in im 2.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)))) in im 2.250 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2))) in im 2.250 * [taylor]: Taking taylor expansion of 1/3 in im 2.250 * [taylor]: Taking taylor expansion of (log (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)) in im 2.250 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) in im 2.250 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 2.250 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.250 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.250 * [taylor]: Taking taylor expansion of -1 in im 2.250 * [taylor]: Taking taylor expansion of im in im 2.251 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.251 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.251 * [taylor]: Taking taylor expansion of im in im 2.252 * [taylor]: Taking taylor expansion of (pow (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) 1/3) in im 2.252 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)))) in im 2.252 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2))) in im 2.252 * [taylor]: Taking taylor expansion of 1/3 in im 2.252 * [taylor]: Taking taylor expansion of (log (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2)) in im 2.252 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ -1 im)) (exp (/ 1 im))) 2) in im 2.252 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 2.252 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.252 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.252 * [taylor]: Taking taylor expansion of -1 in im 2.252 * [taylor]: Taking taylor expansion of im in im 2.252 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.252 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.252 * [taylor]: Taking taylor expansion of im in im 2.476 * * * [progress]: simplifying candidates 2.477 * [simplify]: Simplifying using # : (log (cbrt (+ (exp (- im)) (exp im)))) (exp (cbrt (+ (exp (- im)) (exp im)))) (cbrt (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (cbrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt 1) (cbrt (+ (exp (- im)) (exp im))) (cbrt 1) (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (cbrt (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (cbrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (cbrt (- (exp (- im)) (exp im))) (* (cbrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (cbrt (+ (exp (- im)) (exp im))))) (cbrt (cbrt (+ (exp (- im)) (exp im)))) (* (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im)))) (sqrt (cbrt (+ (exp (- im)) (exp im)))) (sqrt (cbrt (+ (exp (- im)) (exp im)))) (log (cbrt (+ (exp (- im)) (exp im)))) (exp (cbrt (+ (exp (- im)) (exp im)))) (cbrt (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (cbrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- 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(- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (* (cbrt (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (cbrt (- (exp (- im)) (exp im)))) (* (cbrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (cbrt (- (exp (- im)) (exp im))) (cbrt (+ (* (exp (- im)) (exp (- im))) (- (* (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))) (cbrt (- (exp (- im)) (exp im)))) (* (cbrt (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (cbrt (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))))) (* (cbrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (cbrt (+ (exp (- im)) (exp im))))) (* (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im))))) (* (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (* (* (cbrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (cbrt (+ (exp (- im)) (exp im))))) (* (cbrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (cbrt (+ (exp (- im)) (exp im)))))) (* (cbrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (cbrt (+ (exp (- im)) (exp im))))) (* (sqrt (cbrt (+ (exp (- im)) (exp im)))) (sqrt (cbrt (+ (exp (- im)) (exp im))))) (* (sqrt (cbrt (+ (exp (- im)) (exp im)))) (sqrt (cbrt (+ (exp (- im)) (exp im))))) (* 1 1) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (* (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im))))) (* (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im))))) (* (cbrt (sqrt (+ (exp (- im)) (exp im)))) (sqrt (cbrt (+ (exp (- im)) (exp im))))) (* (cbrt (sqrt (+ (exp (- im)) (exp im)))) (sqrt (cbrt (+ (exp (- im)) (exp im))))) (* (sqrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im))))) (* (sqrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im))))) (* (sqrt (cbrt (+ (exp (- im)) (exp im)))) (sqrt (cbrt (+ (exp (- im)) (exp im))))) (* (sqrt (cbrt (+ (exp (- im)) (exp im)))) (sqrt (cbrt (+ (exp (- im)) (exp im))))) (* 2 1/3) (* 2 1) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (sqrt (+ (exp (- im)) (exp im))))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt 1)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt 1)) (* (cbrt (+ (exp (- im)) (exp im))) (* (cbrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (cbrt (+ (exp (- im)) (exp im)))))) (* (cbrt (+ (exp (- im)) (exp im))) (sqrt (cbrt (+ (exp (- im)) (exp im))))) (* (cbrt (+ (exp (- im)) (exp im))) 1) (* (cbrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im)))) (* (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im)))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (* (cbrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im)))) (* (sqrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im)))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (* (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (cbrt (+ (exp (- im)) (exp im)))) (* (cbrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (cbrt (+ (exp (- im)) (exp im)))) (- (+ (* 1/6 (* (pow im 2) (pow 2 1/3))) (pow 2 1/3)) (* 1/72 (* (pow im 4) (pow 2 1/3)))) (pow (+ (exp im) (exp (- im))) 1/3) (pow (+ (exp (* -1 im)) (exp im)) 1/3) (- (+ (* 1/6 (* (pow im 2) (pow 2 1/3))) (pow 2 1/3)) (* 1/72 (* (pow im 4) (pow 2 1/3)))) (pow (+ (exp im) (exp (- im))) 1/3) (pow (+ (exp (* -1 im)) (exp im)) 1/3) (- (+ (* 1/6 (* (pow im 2) (pow 2 1/3))) (pow 2 1/3)) (* 1/72 (* (pow im 4) (pow 2 1/3)))) (pow (+ (exp im) (exp (- im))) 1/3) (pow (+ (exp (* -1 im)) (exp im)) 1/3) (+ (* 1/405 (* (pow 4 1/3) (pow im 6))) (+ (* 1/3 (* (pow 4 1/3) (pow im 2))) (pow 4 1/3))) (pow (pow (+ (exp im) (exp (- im))) 2) 1/3) (pow (pow (+ (exp (* -1 im)) (exp im)) 2) 1/3) 2.483 * * [simplify]: iteration 0 : 234 enodes (cost 1278 ) 2.487 * * [simplify]: iteration 1 : 854 enodes (cost 1145 ) 2.508 * * [simplify]: iteration 2 : 5001 enodes (cost 1071 ) 2.512 * [simplify]: Simplified to: (log (cbrt (+ (exp (- im)) (exp im)))) (exp (cbrt (+ (exp (- im)) (exp im)))) (cbrt (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (cbrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im)))) 1 (cbrt (+ (exp (- im)) (exp im))) 1 (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (cbrt (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (cbrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (cbrt (- (exp (- im)) (exp im))) (* (cbrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (cbrt (+ (exp (- im)) (exp im))))) (cbrt (cbrt (+ (exp (- im)) (exp im)))) (+ (exp (* -1 im)) (exp im)) (sqrt (cbrt (+ (exp (- im)) (exp im)))) (sqrt (cbrt (+ (exp (- im)) (exp im)))) (log (cbrt (+ (exp (- im)) (exp im)))) (exp (cbrt (+ (exp (- im)) (exp im)))) (cbrt (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (cbrt (cbrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) 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(exp (- im)) (exp im)))) 4) (pow (sqrt (cbrt (+ (exp (- im)) (exp im)))) 3) (pow (+ (exp (* -1 im)) (exp im)) 2/3) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (* (pow 2 1/3) (- (+ (* 1/6 (pow im 2)) 1) (* 1/72 (pow im 4)))) (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))) (* (pow 2 1/3) (- (+ (* 1/6 (pow im 2)) 1) (* 1/72 (pow im 4)))) (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))) (* (pow 2 1/3) (- (+ (* 1/6 (pow im 2)) 1) (* 1/72 (pow im 4)))) (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))) (+ (* 1/3 (* (pow 4 1/3) (pow im 2))) (* (+ (* 1/405 (pow im 6)) 1) (pow 4 1/3))) (pow (pow (+ (exp (* -1 im)) (exp im)) 2) 1/3) (pow (pow (+ (exp (* -1 im)) (exp im)) 2) 1/3) 2.512 * * * [progress]: adding candidates to table 2.779 * [progress]: [Phase 3 of 3] Extracting. 2.779 * * [regime]: Finding splitpoints for: (# # #) 2.780 * * * [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) 2.780 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# # #) 2.800 * * * * [regimes]: Trying to branch on (cos re) from (# # #) 2.819 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# # #) 2.840 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# # #) 2.865 * * * * [regimes]: Trying to branch on im from (# # #) 2.883 * * * * [regimes]: Trying to branch on re from (# # #) 2.899 * * * [regime]: Found split indices: #