26.938 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.093 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.095 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.097 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.099 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.101 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.104 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.108 * * [simplify]: iteration 5 : 629 enodes (cost 7 ) 0.116 * * [simplify]: iteration 6 : 1415 enodes (cost 7 ) 0.127 * * [simplify]: iteration 7 : 2148 enodes (cost 7 ) 0.162 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.163 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.163 * * [progress]: iteration 1 / 4 0.163 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.175 * * * [progress]: generating rewritten candidates 0.175 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.181 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.191 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.191 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.191 * [taylor]: Taking taylor expansion of (exp im) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.191 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.191 * [taylor]: Taking taylor expansion of (- im) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.192 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.192 * [taylor]: Taking taylor expansion of (exp im) in im 0.192 * [taylor]: Taking taylor expansion of im in im 0.192 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.192 * [taylor]: Taking taylor expansion of (- im) in im 0.192 * [taylor]: Taking taylor expansion of im in im 0.207 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 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 0.208 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 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 (/ 1 im) in im 0.208 * [taylor]: Taking taylor expansion of im in im 0.209 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.209 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.209 * [taylor]: Taking taylor expansion of im in im 0.211 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.211 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.211 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.211 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.211 * [taylor]: Taking taylor expansion of -1 in im 0.211 * [taylor]: Taking taylor expansion of im in im 0.212 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.212 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.212 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.212 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.212 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.212 * [taylor]: Taking taylor expansion of -1 in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.212 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.212 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.214 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.214 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.214 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.215 * [taylor]: Taking taylor expansion of 0.5 in im 0.215 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.215 * [taylor]: Taking taylor expansion of (cos re) in im 0.215 * [taylor]: Taking taylor expansion of re in im 0.215 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.215 * [taylor]: Taking taylor expansion of (exp im) in im 0.215 * [taylor]: Taking taylor expansion of im in im 0.215 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.215 * [taylor]: Taking taylor expansion of (- im) in im 0.215 * [taylor]: Taking taylor expansion of im in im 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.215 * [taylor]: Taking taylor expansion of 0.5 in re 0.215 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.215 * [taylor]: Taking taylor expansion of (cos re) in re 0.215 * [taylor]: Taking taylor expansion of re in re 0.215 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.215 * [taylor]: Taking taylor expansion of (exp im) in re 0.215 * [taylor]: Taking taylor expansion of im in re 0.215 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.215 * [taylor]: Taking taylor expansion of (- im) in re 0.215 * [taylor]: Taking taylor expansion of im in re 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.215 * [taylor]: Taking taylor expansion of 0.5 in re 0.215 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.215 * [taylor]: Taking taylor expansion of (cos re) in re 0.216 * [taylor]: Taking taylor expansion of re in re 0.216 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.216 * [taylor]: Taking taylor expansion of (exp im) in re 0.216 * [taylor]: Taking taylor expansion of im in re 0.216 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.216 * [taylor]: Taking taylor expansion of (- im) in re 0.216 * [taylor]: Taking taylor expansion of im in re 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.216 * [taylor]: Taking taylor expansion of 0.5 in im 0.216 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.216 * [taylor]: Taking taylor expansion of (exp im) in im 0.216 * [taylor]: Taking taylor expansion of im in im 0.216 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.216 * [taylor]: Taking taylor expansion of (- im) in im 0.216 * [taylor]: Taking taylor expansion of im in im 0.219 * [taylor]: Taking taylor expansion of 0 in im 0.225 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.225 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.225 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.225 * [taylor]: Taking taylor expansion of 0.25 in im 0.225 * [taylor]: Taking taylor expansion of (exp im) in im 0.225 * [taylor]: Taking taylor expansion of im in im 0.225 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.225 * [taylor]: Taking taylor expansion of 0.25 in im 0.225 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.225 * [taylor]: Taking taylor expansion of (- im) in im 0.225 * [taylor]: Taking taylor expansion of im in im 0.234 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.235 * [taylor]: Taking taylor expansion of 0.5 in im 0.235 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.235 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.235 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.235 * [taylor]: Taking taylor expansion of re in im 0.235 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.235 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.235 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.235 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.235 * [taylor]: Taking taylor expansion of im in im 0.235 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.235 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.235 * [taylor]: Taking taylor expansion of im in im 0.236 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.236 * [taylor]: Taking taylor expansion of 0.5 in re 0.236 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.236 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.236 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.236 * [taylor]: Taking taylor expansion of re in re 0.236 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.236 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.236 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.236 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.236 * [taylor]: Taking taylor expansion of im in re 0.236 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.236 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.236 * [taylor]: Taking taylor expansion of im in re 0.236 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.236 * [taylor]: Taking taylor expansion of 0.5 in re 0.236 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.236 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.236 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.236 * [taylor]: Taking taylor expansion of re in re 0.237 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.237 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.237 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.237 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.237 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.237 * [taylor]: Taking taylor expansion of 0.5 in im 0.237 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.237 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.237 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.237 * [taylor]: Taking taylor expansion of re in im 0.237 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.238 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.238 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.238 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.238 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.241 * [taylor]: Taking taylor expansion of 0 in im 0.247 * [taylor]: Taking taylor expansion of 0 in im 0.255 * [taylor]: Taking taylor expansion of 0 in im 0.256 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.256 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.256 * [taylor]: Taking taylor expansion of 0.5 in im 0.256 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.256 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.256 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.256 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.256 * [taylor]: Taking taylor expansion of -1 in im 0.256 * [taylor]: Taking taylor expansion of im in im 0.256 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.256 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.256 * [taylor]: Taking taylor expansion of im in im 0.257 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.257 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.257 * [taylor]: Taking taylor expansion of -1 in im 0.257 * [taylor]: Taking taylor expansion of re in im 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.257 * [taylor]: Taking taylor expansion of 0.5 in re 0.257 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.257 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.257 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.257 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.257 * [taylor]: Taking taylor expansion of -1 in re 0.257 * [taylor]: Taking taylor expansion of im in re 0.257 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.257 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.257 * [taylor]: Taking taylor expansion of im in re 0.257 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.257 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.257 * [taylor]: Taking taylor expansion of -1 in re 0.257 * [taylor]: Taking taylor expansion of re in re 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.257 * [taylor]: Taking taylor expansion of 0.5 in re 0.257 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.257 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.257 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.257 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.257 * [taylor]: Taking taylor expansion of -1 in re 0.257 * [taylor]: Taking taylor expansion of im in re 0.258 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.258 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.258 * [taylor]: Taking taylor expansion of im in re 0.258 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.258 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.258 * [taylor]: Taking taylor expansion of -1 in re 0.258 * [taylor]: Taking taylor expansion of re in re 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.258 * [taylor]: Taking taylor expansion of 0.5 in im 0.258 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.258 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.258 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.258 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.258 * [taylor]: Taking taylor expansion of -1 in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.259 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.259 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.259 * [taylor]: Taking taylor expansion of im in im 0.259 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.259 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.259 * [taylor]: Taking taylor expansion of -1 in im 0.259 * [taylor]: Taking taylor expansion of re in im 0.262 * [taylor]: Taking taylor expansion of 0 in im 0.267 * [taylor]: Taking taylor expansion of 0 in im 0.274 * [taylor]: Taking taylor expansion of 0 in im 0.274 * * * [progress]: simplifying candidates 0.275 * [simplify]: Simplifying using # : (* (exp (exp (- im))) (exp (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))) (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (- im)) (exp im)))) (+ (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (exp (- im))) (* (* 0.5 (cos re)) (exp im)) (* (exp (- im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.279 * * [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 ) 0.311 * [simplify]: Simplified to: (exp (+ (exp (- im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (pow (+ (exp (* -1 im)) (exp im)) 3) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)) (+ (- (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (- im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (cos re) (+ (exp im) (exp (- im)))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.311 * * * [progress]: adding candidates to table 0.399 * * [progress]: iteration 2 / 4 0.399 * * * [progress]: picking best candidate 0.404 * * * * [pick]: Picked # 0.404 * * * [progress]: localizing error 0.413 * * * [progress]: generating rewritten candidates 0.413 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.418 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.424 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.433 * * * [progress]: generating series expansions 0.433 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.433 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 0.433 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.433 * [taylor]: Taking taylor expansion of 0.5 in im 0.434 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.434 * [taylor]: Taking taylor expansion of (cos re) in im 0.434 * [taylor]: Taking taylor expansion of re in im 0.434 * [taylor]: Taking taylor expansion of (exp im) in im 0.434 * [taylor]: Taking taylor expansion of im in im 0.434 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.434 * [taylor]: Taking taylor expansion of 0.5 in re 0.434 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.434 * [taylor]: Taking taylor expansion of (cos re) in re 0.434 * [taylor]: Taking taylor expansion of re in re 0.434 * [taylor]: Taking taylor expansion of (exp im) in re 0.434 * [taylor]: Taking taylor expansion of im in re 0.434 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.434 * [taylor]: Taking taylor expansion of 0.5 in re 0.434 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.434 * [taylor]: Taking taylor expansion of (cos re) in re 0.434 * [taylor]: Taking taylor expansion of re in re 0.434 * [taylor]: Taking taylor expansion of (exp im) in re 0.434 * [taylor]: Taking taylor expansion of im in re 0.435 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.435 * [taylor]: Taking taylor expansion of 0.5 in im 0.435 * [taylor]: Taking taylor expansion of (exp im) in im 0.435 * [taylor]: Taking taylor expansion of im in im 0.436 * [taylor]: Taking taylor expansion of 0 in im 0.441 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 0.441 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.441 * [taylor]: Taking taylor expansion of 0.25 in im 0.441 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.441 * [taylor]: Taking taylor expansion of (exp im) in im 0.441 * [taylor]: Taking taylor expansion of im in im 0.443 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.443 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.443 * [taylor]: Taking taylor expansion of 0.5 in im 0.443 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.443 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.443 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.443 * [taylor]: Taking taylor expansion of re in im 0.443 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.443 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.443 * [taylor]: Taking taylor expansion of im in im 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.444 * [taylor]: Taking taylor expansion of 0.5 in re 0.444 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.444 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.444 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.444 * [taylor]: Taking taylor expansion of re in re 0.444 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.444 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.444 * [taylor]: Taking taylor expansion of im in re 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.444 * [taylor]: Taking taylor expansion of 0.5 in re 0.444 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.444 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.444 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.444 * [taylor]: Taking taylor expansion of re in re 0.444 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.444 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.445 * [taylor]: Taking taylor expansion of im in re 0.445 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.445 * [taylor]: Taking taylor expansion of 0.5 in im 0.445 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.445 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.445 * [taylor]: Taking taylor expansion of re in im 0.445 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.447 * [taylor]: Taking taylor expansion of 0 in im 0.451 * [taylor]: Taking taylor expansion of 0 in im 0.456 * [taylor]: Taking taylor expansion of 0 in im 0.456 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 0.456 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.456 * [taylor]: Taking taylor expansion of 0.5 in im 0.456 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.456 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.456 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.456 * [taylor]: Taking taylor expansion of -1 in im 0.456 * [taylor]: Taking taylor expansion of re in im 0.456 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.457 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.457 * [taylor]: Taking taylor expansion of -1 in im 0.457 * [taylor]: Taking taylor expansion of im in im 0.457 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.457 * [taylor]: Taking taylor expansion of 0.5 in re 0.457 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.457 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.457 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.457 * [taylor]: Taking taylor expansion of -1 in re 0.457 * [taylor]: Taking taylor expansion of re in re 0.458 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.458 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.458 * [taylor]: Taking taylor expansion of -1 in re 0.458 * [taylor]: Taking taylor expansion of im in re 0.458 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.458 * [taylor]: Taking taylor expansion of 0.5 in re 0.458 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.458 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.458 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.458 * [taylor]: Taking taylor expansion of -1 in re 0.458 * [taylor]: Taking taylor expansion of re in re 0.461 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.461 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.461 * [taylor]: Taking taylor expansion of -1 in re 0.461 * [taylor]: Taking taylor expansion of im in re 0.461 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.461 * [taylor]: Taking taylor expansion of 0.5 in im 0.461 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.461 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.461 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.461 * [taylor]: Taking taylor expansion of -1 in im 0.461 * [taylor]: Taking taylor expansion of re in im 0.461 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.461 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.462 * [taylor]: Taking taylor expansion of -1 in im 0.462 * [taylor]: Taking taylor expansion of im in im 0.464 * [taylor]: Taking taylor expansion of 0 in im 0.467 * [taylor]: Taking taylor expansion of 0 in im 0.473 * [taylor]: Taking taylor expansion of 0 in im 0.473 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.473 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 0.473 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.473 * [taylor]: Taking taylor expansion of 0.5 in im 0.473 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.473 * [taylor]: Taking taylor expansion of (exp im) in im 0.473 * [taylor]: Taking taylor expansion of im in im 0.473 * [taylor]: Taking taylor expansion of (cos re) in im 0.473 * [taylor]: Taking taylor expansion of re in im 0.473 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.473 * [taylor]: Taking taylor expansion of 0.5 in re 0.473 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.473 * [taylor]: Taking taylor expansion of (exp im) in re 0.473 * [taylor]: Taking taylor expansion of im in re 0.473 * [taylor]: Taking taylor expansion of (cos re) in re 0.473 * [taylor]: Taking taylor expansion of re in re 0.473 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.473 * [taylor]: Taking taylor expansion of 0.5 in re 0.473 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.473 * [taylor]: Taking taylor expansion of (exp im) in re 0.473 * [taylor]: Taking taylor expansion of im in re 0.473 * [taylor]: Taking taylor expansion of (cos re) in re 0.473 * [taylor]: Taking taylor expansion of re in re 0.473 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.473 * [taylor]: Taking taylor expansion of 0.5 in im 0.473 * [taylor]: Taking taylor expansion of (exp im) in im 0.473 * [taylor]: Taking taylor expansion of im in im 0.475 * [taylor]: Taking taylor expansion of 0 in im 0.478 * [taylor]: Taking taylor expansion of (- (* 0.25 (exp im))) in im 0.479 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.479 * [taylor]: Taking taylor expansion of 0.25 in im 0.479 * [taylor]: Taking taylor expansion of (exp im) in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.480 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.480 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.480 * [taylor]: Taking taylor expansion of 0.5 in im 0.480 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.480 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.480 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.480 * [taylor]: Taking taylor expansion of re in im 0.480 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.480 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.480 * [taylor]: Taking taylor expansion of im in im 0.480 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.480 * [taylor]: Taking taylor expansion of 0.5 in re 0.480 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.480 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.480 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.480 * [taylor]: Taking taylor expansion of re in re 0.481 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.481 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.481 * [taylor]: Taking taylor expansion of im in re 0.481 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.481 * [taylor]: Taking taylor expansion of 0.5 in re 0.481 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.481 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.481 * [taylor]: Taking taylor expansion of re in re 0.481 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.481 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.481 * [taylor]: Taking taylor expansion of im in re 0.482 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.482 * [taylor]: Taking taylor expansion of 0.5 in im 0.482 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.482 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.482 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.482 * [taylor]: Taking taylor expansion of re in im 0.482 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.482 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.482 * [taylor]: Taking taylor expansion of im in im 0.484 * [taylor]: Taking taylor expansion of 0 in im 0.487 * [taylor]: Taking taylor expansion of 0 in im 0.493 * [taylor]: Taking taylor expansion of 0 in im 0.493 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 0.493 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.493 * [taylor]: Taking taylor expansion of 0.5 in im 0.493 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) 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 0.494 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.494 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.494 * [taylor]: Taking taylor expansion of -1 in im 0.494 * [taylor]: Taking taylor expansion of re in im 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.494 * [taylor]: Taking taylor expansion of 0.5 in re 0.494 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.494 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.494 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.494 * [taylor]: Taking taylor expansion of -1 in re 0.494 * [taylor]: Taking taylor expansion of im in re 0.494 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.494 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.494 * [taylor]: Taking taylor expansion of -1 in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.495 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.495 * [taylor]: Taking taylor expansion of 0.5 in re 0.495 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.495 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.495 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.495 * [taylor]: Taking taylor expansion of -1 in re 0.495 * [taylor]: Taking taylor expansion of im in re 0.495 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.495 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.495 * [taylor]: Taking taylor expansion of -1 in re 0.495 * [taylor]: Taking taylor expansion of re in re 0.495 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.495 * [taylor]: Taking taylor expansion of 0.5 in im 0.495 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.495 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.495 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.495 * [taylor]: Taking taylor expansion of -1 in im 0.495 * [taylor]: Taking taylor expansion of im in im 0.496 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.496 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.496 * [taylor]: Taking taylor expansion of -1 in im 0.496 * [taylor]: Taking taylor expansion of re in im 0.497 * [taylor]: Taking taylor expansion of 0 in im 0.501 * [taylor]: Taking taylor expansion of 0 in im 0.507 * [taylor]: Taking taylor expansion of 0 in im 0.507 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.507 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 0.507 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.507 * [taylor]: Taking taylor expansion of 0.5 in im 0.507 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.507 * [taylor]: Taking taylor expansion of (exp im) in im 0.507 * [taylor]: Taking taylor expansion of im in im 0.507 * [taylor]: Taking taylor expansion of (cos re) in im 0.507 * [taylor]: Taking taylor expansion of re in im 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.507 * [taylor]: Taking taylor expansion of 0.5 in im 0.507 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.507 * [taylor]: Taking taylor expansion of (cos re) in im 0.507 * [taylor]: Taking taylor expansion of re in im 0.508 * [taylor]: Taking taylor expansion of (exp im) in im 0.508 * [taylor]: Taking taylor expansion of im in im 0.508 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.508 * [taylor]: Taking taylor expansion of 0.5 in re 0.508 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.508 * [taylor]: Taking taylor expansion of (exp im) in re 0.508 * [taylor]: Taking taylor expansion of im in re 0.508 * [taylor]: Taking taylor expansion of (cos re) in re 0.508 * [taylor]: Taking taylor expansion of re in re 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.508 * [taylor]: Taking taylor expansion of 0.5 in re 0.508 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.508 * [taylor]: Taking taylor expansion of (cos re) in re 0.508 * [taylor]: Taking taylor expansion of re in re 0.508 * [taylor]: Taking taylor expansion of (exp im) in re 0.508 * [taylor]: Taking taylor expansion of im in re 0.508 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.508 * [taylor]: Taking taylor expansion of 0.5 in re 0.508 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.508 * [taylor]: Taking taylor expansion of (exp im) in re 0.508 * [taylor]: Taking taylor expansion of im in re 0.508 * [taylor]: Taking taylor expansion of (cos re) in re 0.508 * [taylor]: Taking taylor expansion of re in re 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.508 * [taylor]: Taking taylor expansion of 0.5 in re 0.508 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.508 * [taylor]: Taking taylor expansion of (cos re) in re 0.508 * [taylor]: Taking taylor expansion of re in re 0.508 * [taylor]: Taking taylor expansion of (exp im) in re 0.508 * [taylor]: Taking taylor expansion of im in re 0.509 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 0.509 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 0.509 * [taylor]: Taking taylor expansion of 0.5 in im 0.509 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.509 * [taylor]: Taking taylor expansion of (exp im) in im 0.509 * [taylor]: Taking taylor expansion of im in im 0.509 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.509 * [taylor]: Taking taylor expansion of 0.5 in im 0.509 * [taylor]: Taking taylor expansion of (exp im) in im 0.509 * [taylor]: Taking taylor expansion of im in im 0.513 * [taylor]: Taking taylor expansion of 0 in im 0.520 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 0.520 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 0.520 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.520 * [taylor]: Taking taylor expansion of 0.25 in im 0.520 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.520 * [taylor]: Taking taylor expansion of (exp im) in im 0.520 * [taylor]: Taking taylor expansion of im in im 0.521 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.521 * [taylor]: Taking taylor expansion of 0.25 in im 0.521 * [taylor]: Taking taylor expansion of (exp im) in im 0.521 * [taylor]: Taking taylor expansion of im in im 0.527 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in (re im) around 0 0.527 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.527 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.528 * [taylor]: Taking taylor expansion of 0.5 in im 0.528 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.528 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.528 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.528 * [taylor]: Taking taylor expansion of re in im 0.528 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.528 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.528 * [taylor]: Taking taylor expansion of im in im 0.528 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.528 * [taylor]: Taking taylor expansion of 0.5 in im 0.528 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.528 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.528 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.528 * [taylor]: Taking taylor expansion of re in im 0.528 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.528 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.528 * [taylor]: Taking taylor expansion of im in im 0.529 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.529 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.529 * [taylor]: Taking taylor expansion of 0.5 in re 0.529 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.529 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.529 * [taylor]: Taking taylor expansion of re in re 0.529 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.529 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.529 * [taylor]: Taking taylor expansion of im in re 0.529 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.529 * [taylor]: Taking taylor expansion of 0.5 in re 0.529 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.529 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.530 * [taylor]: Taking taylor expansion of re in re 0.530 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.530 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.530 * [taylor]: Taking taylor expansion of im in re 0.530 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.530 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.530 * [taylor]: Taking taylor expansion of 0.5 in re 0.530 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.530 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.530 * [taylor]: Taking taylor expansion of re in re 0.530 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.530 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.530 * [taylor]: Taking taylor expansion of im in re 0.530 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.531 * [taylor]: Taking taylor expansion of 0.5 in re 0.531 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.531 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.531 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.531 * [taylor]: Taking taylor expansion of re in re 0.531 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.531 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.531 * [taylor]: Taking taylor expansion of im in re 0.531 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.531 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.531 * [taylor]: Taking taylor expansion of 0.5 in im 0.532 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.532 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.532 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.532 * [taylor]: Taking taylor expansion of re in im 0.532 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.532 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.532 * [taylor]: Taking taylor expansion of im in im 0.532 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.532 * [taylor]: Taking taylor expansion of 0.5 in im 0.532 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.532 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.532 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.532 * [taylor]: Taking taylor expansion of re in im 0.532 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.532 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.532 * [taylor]: Taking taylor expansion of im in im 0.536 * [taylor]: Taking taylor expansion of 0 in im 0.545 * [taylor]: Taking taylor expansion of 0 in im 0.558 * [taylor]: Taking taylor expansion of 0 in im 0.559 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in (re im) around 0 0.559 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.559 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.559 * [taylor]: Taking taylor expansion of 0.5 in im 0.559 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.559 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.559 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.559 * [taylor]: Taking taylor expansion of -1 in im 0.559 * [taylor]: Taking taylor expansion of re in im 0.559 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.559 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.559 * [taylor]: Taking taylor expansion of -1 in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.560 * [taylor]: Taking taylor expansion of 0.5 in im 0.560 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.560 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.560 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.560 * [taylor]: Taking taylor expansion of -1 in im 0.560 * [taylor]: Taking taylor expansion of im in im 0.560 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.560 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.561 * [taylor]: Taking taylor expansion of -1 in im 0.561 * [taylor]: Taking taylor expansion of re in im 0.561 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.561 * [taylor]: Taking taylor expansion of 0.5 in re 0.561 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.561 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.561 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.561 * [taylor]: Taking taylor expansion of -1 in re 0.561 * [taylor]: Taking taylor expansion of re in re 0.561 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.561 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.561 * [taylor]: Taking taylor expansion of -1 in re 0.561 * [taylor]: Taking taylor expansion of im in re 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.561 * [taylor]: Taking taylor expansion of 0.5 in re 0.561 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.561 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.561 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.561 * [taylor]: Taking taylor expansion of -1 in re 0.561 * [taylor]: Taking taylor expansion of im in re 0.561 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.561 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.561 * [taylor]: Taking taylor expansion of -1 in re 0.562 * [taylor]: Taking taylor expansion of re in re 0.562 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.562 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.562 * [taylor]: Taking taylor expansion of 0.5 in re 0.562 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.562 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.562 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.562 * [taylor]: Taking taylor expansion of -1 in re 0.562 * [taylor]: Taking taylor expansion of re in re 0.562 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.562 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.562 * [taylor]: Taking taylor expansion of -1 in re 0.562 * [taylor]: Taking taylor expansion of im in re 0.562 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.562 * [taylor]: Taking taylor expansion of 0.5 in re 0.563 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.563 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.563 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.563 * [taylor]: Taking taylor expansion of -1 in re 0.563 * [taylor]: Taking taylor expansion of im in re 0.563 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.563 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.563 * [taylor]: Taking taylor expansion of -1 in re 0.563 * [taylor]: Taking taylor expansion of re in re 0.563 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.563 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.563 * [taylor]: Taking taylor expansion of 0.5 in im 0.564 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.564 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.564 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.564 * [taylor]: Taking taylor expansion of -1 in im 0.564 * [taylor]: Taking taylor expansion of re in im 0.564 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.564 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.564 * [taylor]: Taking taylor expansion of -1 in im 0.564 * [taylor]: Taking taylor expansion of im in im 0.564 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.564 * [taylor]: Taking taylor expansion of 0.5 in im 0.564 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.565 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.565 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.565 * [taylor]: Taking taylor expansion of -1 in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.565 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.565 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.565 * [taylor]: Taking taylor expansion of -1 in im 0.565 * [taylor]: Taking taylor expansion of re in im 0.568 * [taylor]: Taking taylor expansion of 0 in im 0.576 * [taylor]: Taking taylor expansion of 0 in im 0.588 * [taylor]: Taking taylor expansion of 0 in im 0.588 * * * [progress]: simplifying candidates 0.589 * [simplify]: Simplifying using # : (- (+ (log 0.5) (log (cos re))) im) (- (log (* 0.5 (cos re))) im) (log (/ (* 0.5 (cos re)) (exp im))) (exp (/ (* 0.5 (cos re)) (exp im))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) 1) (/ (exp im) (cos re)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (+ (+ (log 0.5) (log (cos re))) im) (+ (log (* 0.5 (cos re))) im) (log (* (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* 0.5 (cos re)) 1) (* (cos re) (exp im)) (* (exp (/ (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im)))) (log (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (exp (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (* (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (+ (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (- (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (- (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (- (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ 1 (exp im)) (exp im)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) 0.593 * * [simplify]: iteration 0 : 284 enodes (cost 450 ) 0.600 * * [simplify]: iteration 1 : 1619 enodes (cost 391 ) 0.634 * * [simplify]: iteration 2 : 5002 enodes (cost 384 ) 0.636 * [simplify]: Simplified to: (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (exp (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (/ (exp im) (cos re)) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (exp (* (* 0.5 (cos re)) (exp im))) (pow (* (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (pow (* (* 0.5 (cos re)) (exp im)) 3) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (* (cos re) (exp im)) (exp (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (log (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (exp (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (pow (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) 3) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (* 0.5 (+ (* (/ (cos re) (exp im)) (* 0.5 (/ (cos re) (exp im)))) (* (* (cos re) (exp im)) (* 0.5 (- (* (cos re) (exp im)) (/ (cos re) (exp im))))))) (* (* 0.5 0.5) (- (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (* (exp (+ im im)) (* (cos re) (cos re))))) (* (cos re) (- (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 1 (exp im)) (exp im)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (cos re) (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))) (* (cos re) (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))) 0.636 * * * [progress]: adding candidates to table 0.762 * * [progress]: iteration 3 / 4 0.762 * * * [progress]: picking best candidate 0.766 * * * * [pick]: Picked # 0.766 * * * [progress]: localizing error 0.786 * * * [progress]: generating rewritten candidates 0.786 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.792 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.821 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.826 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.836 * * * [progress]: generating series expansions 0.836 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.836 * [approximate]: Taking taylor expansion of (- (pow (exp im) -2) 1) in (im) around 0 0.836 * [taylor]: Taking taylor expansion of (- (pow (exp im) -2) 1) in im 0.836 * [taylor]: Taking taylor expansion of (pow (exp im) -2) in im 0.836 * [taylor]: Taking taylor expansion of (exp im) in im 0.836 * [taylor]: Taking taylor expansion of im in im 0.837 * [taylor]: Taking taylor expansion of 1 in im 0.837 * [taylor]: Taking taylor expansion of (- (pow (exp im) -2) 1) in im 0.837 * [taylor]: Taking taylor expansion of (pow (exp im) -2) in im 0.837 * [taylor]: Taking taylor expansion of (exp im) in im 0.837 * [taylor]: Taking taylor expansion of im in im 0.837 * [taylor]: Taking taylor expansion of 1 in im 0.846 * [approximate]: Taking taylor expansion of (- (pow (exp (/ 1 im)) -2) 1) in (im) around 0 0.846 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) -2) 1) in im 0.846 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) -2) in im 0.846 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.846 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.846 * [taylor]: Taking taylor expansion of im in im 0.846 * [taylor]: Taking taylor expansion of 1 in im 0.846 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) -2) 1) in im 0.846 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) -2) in im 0.846 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.846 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.846 * [taylor]: Taking taylor expansion of im in im 0.847 * [taylor]: Taking taylor expansion of 1 in im 0.856 * [approximate]: Taking taylor expansion of (- (pow (exp (/ -1 im)) -2) 1) in (im) around 0 0.856 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) -2) 1) in im 0.856 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) -2) in im 0.856 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.856 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.856 * [taylor]: Taking taylor expansion of -1 in im 0.856 * [taylor]: Taking taylor expansion of im in im 0.856 * [taylor]: Taking taylor expansion of 1 in im 0.856 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) -2) 1) in im 0.856 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) -2) in im 0.856 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.856 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.856 * [taylor]: Taking taylor expansion of -1 in im 0.856 * [taylor]: Taking taylor expansion of im in im 0.857 * [taylor]: Taking taylor expansion of 1 in im 0.865 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.866 * [approximate]: Taking taylor expansion of (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (exp (* 2 im)) (pow (exp im) -2)) 1)) in (im) around 0 0.866 * [taylor]: Taking taylor expansion of (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (exp (* 2 im)) (pow (exp im) -2)) 1)) in im 0.866 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in im 0.866 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.866 * [taylor]: Taking taylor expansion of (exp im) in im 0.866 * [taylor]: Taking taylor expansion of im in im 0.866 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.866 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.866 * [taylor]: Taking taylor expansion of (- im) in im 0.866 * [taylor]: Taking taylor expansion of im in im 0.866 * [taylor]: Taking taylor expansion of (- (+ (exp (* 2 im)) (pow (exp im) -2)) 1) in im 0.866 * [taylor]: Taking taylor expansion of (+ (exp (* 2 im)) (pow (exp im) -2)) in im 0.866 * [taylor]: Taking taylor expansion of (exp (* 2 im)) in im 0.866 * [taylor]: Taking taylor expansion of (* 2 im) in im 0.866 * [taylor]: Taking taylor expansion of 2 in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.867 * [taylor]: Taking taylor expansion of (pow (exp im) -2) in im 0.867 * [taylor]: Taking taylor expansion of (exp im) in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.867 * [taylor]: Taking taylor expansion of 1 in im 0.870 * [taylor]: Taking taylor expansion of (/ (+ (pow (exp im) 3) (pow (exp (- im)) 3)) (- (+ (exp (* 2 im)) (pow (exp im) -2)) 1)) in im 0.870 * [taylor]: Taking taylor expansion of (+ (pow (exp im) 3) (pow (exp (- im)) 3)) in im 0.870 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.870 * [taylor]: Taking taylor expansion of (exp im) in im 0.870 * [taylor]: Taking taylor expansion of im in im 0.870 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.870 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.870 * [taylor]: Taking taylor expansion of (- im) in im 0.870 * [taylor]: Taking taylor expansion of im in im 0.871 * [taylor]: Taking taylor expansion of (- (+ (exp (* 2 im)) (pow (exp im) -2)) 1) in im 0.871 * [taylor]: Taking taylor expansion of (+ (exp (* 2 im)) (pow (exp im) -2)) in im 0.871 * [taylor]: Taking taylor expansion of (exp (* 2 im)) in im 0.871 * [taylor]: Taking taylor expansion of (* 2 im) in im 0.871 * [taylor]: Taking taylor expansion of 2 in im 0.871 * [taylor]: Taking taylor expansion of im in im 0.871 * [taylor]: Taking taylor expansion of (pow (exp im) -2) in im 0.871 * [taylor]: Taking taylor expansion of (exp im) in im 0.871 * [taylor]: Taking taylor expansion of im in im 0.872 * [taylor]: Taking taylor expansion of 1 in im 0.924 * [approximate]: Taking taylor expansion of (/ (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (- (+ (pow (exp (/ 1 im)) -2) (exp (* 2 (/ 1 im)))) 1)) in (im) around 0 0.924 * [taylor]: Taking taylor expansion of (/ (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (- (+ (pow (exp (/ 1 im)) -2) (exp (* 2 (/ 1 im)))) 1)) in im 0.924 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in im 0.924 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.924 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.924 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.924 * [taylor]: Taking taylor expansion of im in im 0.924 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.924 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.925 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.925 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.925 * [taylor]: Taking taylor expansion of im in im 0.925 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ 1 im)) -2) (exp (* 2 (/ 1 im)))) 1) in im 0.925 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) -2) (exp (* 2 (/ 1 im)))) in im 0.925 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) -2) in im 0.925 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.925 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.925 * [taylor]: Taking taylor expansion of im in im 0.926 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 im))) in im 0.926 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in im 0.926 * [taylor]: Taking taylor expansion of 2 in im 0.926 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.926 * [taylor]: Taking taylor expansion of im in im 0.926 * [taylor]: Taking taylor expansion of 1 in im 0.928 * [taylor]: Taking taylor expansion of (/ (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) (- (+ (pow (exp (/ 1 im)) -2) (exp (* 2 (/ 1 im)))) 1)) in im 0.928 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) 3) (pow (exp (- (/ 1 im))) 3)) in im 0.928 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.928 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.928 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.928 * [taylor]: Taking taylor expansion of im in im 0.928 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.928 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.928 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.928 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.928 * [taylor]: Taking taylor expansion of im in im 0.929 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ 1 im)) -2) (exp (* 2 (/ 1 im)))) 1) in im 0.929 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 im)) -2) (exp (* 2 (/ 1 im)))) in im 0.929 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) -2) in im 0.929 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.929 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.929 * [taylor]: Taking taylor expansion of im in im 0.929 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 im))) in im 0.929 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in im 0.929 * [taylor]: Taking taylor expansion of 2 in im 0.929 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.929 * [taylor]: Taking taylor expansion of im in im 0.930 * [taylor]: Taking taylor expansion of 1 in im 0.967 * [approximate]: Taking taylor expansion of (/ (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) (- (+ (pow (exp (/ -1 im)) -2) (exp (- (* 2 (/ 1 im))))) 1)) in (im) around 0 0.967 * [taylor]: Taking taylor expansion of (/ (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) (- (+ (pow (exp (/ -1 im)) -2) (exp (- (* 2 (/ 1 im))))) 1)) in im 0.967 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in im 0.967 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.967 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.967 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.967 * [taylor]: Taking taylor expansion of -1 in im 0.967 * [taylor]: Taking taylor expansion of im in im 0.967 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.967 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.967 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.967 * [taylor]: Taking taylor expansion of im in im 0.967 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) -2) (exp (- (* 2 (/ 1 im))))) 1) in im 0.968 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) -2) (exp (- (* 2 (/ 1 im))))) in im 0.968 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) -2) in im 0.968 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.968 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.968 * [taylor]: Taking taylor expansion of -1 in im 0.968 * [taylor]: Taking taylor expansion of im in im 0.968 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 im)))) in im 0.968 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 im))) in im 0.968 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in im 0.968 * [taylor]: Taking taylor expansion of 2 in im 0.968 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.968 * [taylor]: Taking taylor expansion of im in im 0.969 * [taylor]: Taking taylor expansion of 1 in im 0.970 * [taylor]: Taking taylor expansion of (/ (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) (- (+ (pow (exp (/ -1 im)) -2) (exp (- (* 2 (/ 1 im))))) 1)) in im 0.970 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) 3) (pow (exp (/ 1 im)) 3)) in im 0.970 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.970 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.970 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.970 * [taylor]: Taking taylor expansion of -1 in im 0.970 * [taylor]: Taking taylor expansion of im in im 0.971 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.971 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.971 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.971 * [taylor]: Taking taylor expansion of im in im 0.971 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 im)) -2) (exp (- (* 2 (/ 1 im))))) 1) in im 0.971 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 im)) -2) (exp (- (* 2 (/ 1 im))))) in im 0.971 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) -2) in im 0.971 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.971 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.971 * [taylor]: Taking taylor expansion of -1 in im 0.971 * [taylor]: Taking taylor expansion of im in im 0.972 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 im)))) in im 0.972 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 im))) in im 0.972 * [taylor]: Taking taylor expansion of (* 2 (/ 1 im)) in im 0.972 * [taylor]: Taking taylor expansion of 2 in im 0.972 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.972 * [taylor]: Taking taylor expansion of im in im 0.972 * [taylor]: Taking taylor expansion of 1 in im 1.012 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.012 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 3) in (im) around 0 1.013 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.013 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.013 * [taylor]: Taking taylor expansion of (- im) in im 1.013 * [taylor]: Taking taylor expansion of im in im 1.013 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.013 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.013 * [taylor]: Taking taylor expansion of (- im) in im 1.013 * [taylor]: Taking taylor expansion of im in im 1.018 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in (im) around 0 1.019 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.019 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.019 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.019 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.019 * [taylor]: Taking taylor expansion of im in im 1.019 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.019 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.019 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.019 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.019 * [taylor]: Taking taylor expansion of im in im 1.029 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 1.029 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.029 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.029 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.029 * [taylor]: Taking taylor expansion of im in im 1.029 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.029 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.029 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.029 * [taylor]: Taking taylor expansion of im in im 1.038 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.039 * [approximate]: Taking taylor expansion of (pow (exp im) 3) in (im) around 0 1.039 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.039 * [taylor]: Taking taylor expansion of (exp im) in im 1.039 * [taylor]: Taking taylor expansion of im in im 1.039 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.039 * [taylor]: Taking taylor expansion of (exp im) in im 1.039 * [taylor]: Taking taylor expansion of im in im 1.043 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 1.043 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.043 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.043 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.043 * [taylor]: Taking taylor expansion of im in im 1.043 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.043 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.043 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.043 * [taylor]: Taking taylor expansion of im in im 1.052 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in (im) around 0 1.052 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.052 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.052 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.052 * [taylor]: Taking taylor expansion of -1 in im 1.052 * [taylor]: Taking taylor expansion of im in im 1.053 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.053 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.053 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.053 * [taylor]: Taking taylor expansion of -1 in im 1.053 * [taylor]: Taking taylor expansion of im in im 1.062 * * * [progress]: simplifying candidates 1.065 * [simplify]: Simplifying using # : (/ (exp (pow (exp im) -2)) (exp 1)) (log (- (pow (exp im) -2) 1)) (exp (- (pow (exp im) -2) 1)) (* (cbrt (- (pow (exp im) -2) 1)) (cbrt (- (pow (exp im) -2) 1))) (cbrt (- (pow (exp im) -2) 1)) (* (* (- (pow (exp im) -2) 1) (- (pow (exp im) -2) 1)) (- (pow (exp im) -2) 1)) (sqrt (- (pow (exp im) -2) 1)) (sqrt (- (pow (exp im) -2) 1)) (- (pow (pow (exp im) -2) 3) (pow 1 3)) (+ (* (pow (exp im) -2) (pow (exp im) -2)) (+ (* 1 1) (* (pow (exp im) -2) 1))) (- 1) (- (* (pow (exp im) -2) (pow (exp im) -2)) (* 1 1)) (+ (pow (exp im) -2) 1) (+ (pow (sqrt (exp im)) -2) (sqrt 1)) (- (pow (sqrt (exp im)) -2) (sqrt 1)) (+ (pow (sqrt (exp im)) -2) 1) (- (pow (sqrt (exp im)) -2) 1) (+ (sqrt (pow (exp im) -2)) (sqrt 1)) (- (sqrt (pow (exp im) -2)) (sqrt 1)) (+ (sqrt (pow (exp im) -2)) 1) (- (sqrt (pow (exp im) -2)) 1) (+ (pow (exp im) (/ -2 2)) (sqrt 1)) (- (pow (exp im) (/ -2 2)) (sqrt 1)) (+ (pow (exp im) (/ -2 2)) 1) (- (pow (exp im) (/ -2 2)) 1) (+ (pow (sqrt (exp im)) -2) 1) (- (pow (sqrt (exp im)) -2) 1) (+ (sqrt (pow (exp im) -2)) 1) (- (sqrt (pow (exp im) -2)) 1) (+ (pow (exp im) (/ -2 2)) 1) (- (pow (exp im) (/ -2 2)) 1) (- (pow (exp im) -2) 1) (- 1) (- (log (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (log (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (log (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (exp (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (/ (* (* (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* (+ (exp (+ im im)) (- (pow (exp im) -2) 1)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (* (cbrt (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (cbrt (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))))) (cbrt (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (* (* (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (sqrt (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (sqrt (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (- (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (- (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (/ (* (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (cbrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (cbrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1))))) (/ (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (cbrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (/ (* (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (sqrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (/ (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (sqrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (/ (* (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) 1) (/ (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (/ (* (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) 1) (/ (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (/ (* (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) 1) (/ (cbrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (/ (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (cbrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (cbrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1))))) (/ (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (cbrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (/ (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (sqrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (/ (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (sqrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (/ (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) 1) (/ (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (/ (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) 1) (/ (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (/ (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) 1) (/ (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (/ (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (* (cbrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (cbrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1))))) (/ (+ (exp (- im)) (exp im)) (cbrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (/ (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (sqrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (/ (+ (exp (- im)) (exp im)) (sqrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1)))) (/ (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) 1) (/ (+ (exp (- im)) (exp im)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (/ (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) 1) (/ (+ (exp (- im)) (exp im)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (/ (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) 1) (/ (+ (exp (- im)) (exp im)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (/ 1 (* (cbrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (cbrt (+ (exp (+ im im)) (- (pow (exp im) -2) 1))))) (/ (+ (pow (exp 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im)) 3) (* -3 im) (* im 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (* (- (cbrt im)) 3) (* (- (sqrt im)) 3) (* -3 im) (pow (exp (- im)) (* (cbrt 3) (cbrt 3))) (pow (exp (- im)) (sqrt 3)) (exp (- im)) (pow (exp im) -2) (exp (- im)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) 1 (exp (* -3 im)) (pow (exp im) -2) (* -3 im) (exp (pow (exp (- im)) 3)) (pow (exp im) -2) (exp (- im)) (pow (pow (exp (* -1 im)) 3) 3) (pow (exp im) -2) (exp (- im)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) 1 (exp (* -3 im)) 1 (pow (exp im) 3) 1 (pow (exp im) 3) (pow (exp im) -2) (sqrt (pow (exp (- im)) 3)) (sqrt (pow (exp (- im)) 3)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) (* im 3) (* im 3) 3 (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (exp im) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (* im 3) (exp (pow (exp im) 3)) (pow (exp im) 2) (exp im) (pow (pow (exp im) 3) 3) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) 3/2) (pow (exp im) 3/2) (- (* 2 (pow im 2)) (+ (* 4/3 (pow im 3)) (* 2 im))) (- (pow (exp im) -2) 1) (- (pow (exp im) -2) 1) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1))) (- (+ (* 9/2 (pow im 2)) 1) (* 3 im)) (exp (* -3 im)) (exp (* -3 im)) (+ (* 3 im) (+ (* 9/2 (pow im 2)) 1)) (pow (exp im) 3) (pow (exp im) 3) 1.176 * * * [progress]: adding candidates to table 1.615 * [progress]: [Phase 3 of 3] Extracting. 1.615 * * [regime]: Finding splitpoints for: (# # #) 1.615 * * * [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) 1.615 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# # #) 1.634 * * * * [regimes]: Trying to branch on (cos re) from (# # #) 1.654 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# # #) 1.672 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# # #) 1.697 * * * * [regimes]: Trying to branch on im from (# # #) 1.715 * * * * [regimes]: Trying to branch on re from (# # #) 1.731 * * * [regime]: Found split indices: #