5.992 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.088 * * * [progress]: [2/2] Setting up program. 0.091 * [progress]: [Phase 2 of 3] Improving. 0.091 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.093 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.095 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.096 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.099 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.102 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.105 * * [simplify]: iteration 5 : 629 enodes (cost 7 ) 0.113 * * [simplify]: iteration 6 : 1415 enodes (cost 7 ) 0.124 * * [simplify]: iteration 7 : 2148 enodes (cost 7 ) 0.163 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.164 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.164 * * [progress]: iteration 1 / 4 0.164 * * * [progress]: picking best candidate 0.167 * * * * [pick]: Picked # 0.167 * * * [progress]: localizing error 0.176 * * * [progress]: generating rewritten candidates 0.176 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.185 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.212 * * * [progress]: generating series expansions 0.212 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.213 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.213 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.213 * [taylor]: Taking taylor expansion of (exp im) in im 0.213 * [taylor]: Taking taylor expansion of im in im 0.213 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.213 * [taylor]: Taking taylor expansion of (- im) in im 0.213 * [taylor]: Taking taylor expansion of im in im 0.213 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.214 * [taylor]: Taking taylor expansion of (exp im) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.214 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.214 * [taylor]: Taking taylor expansion of (- im) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.232 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.232 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.232 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.232 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.232 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.232 * [taylor]: Taking taylor expansion of im in im 0.233 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.233 * [taylor]: Taking taylor expansion of im in im 0.233 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.233 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.233 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.233 * [taylor]: Taking taylor expansion of im in im 0.234 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.234 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.234 * [taylor]: Taking taylor expansion of im in im 0.236 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.236 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.236 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.236 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.236 * [taylor]: Taking taylor expansion of -1 in im 0.236 * [taylor]: Taking taylor expansion of im in im 0.236 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.237 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.237 * [taylor]: Taking taylor expansion of im in im 0.237 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.237 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.237 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.237 * [taylor]: Taking taylor expansion of -1 in im 0.237 * [taylor]: Taking taylor expansion of im in im 0.237 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.237 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.237 * [taylor]: Taking taylor expansion of im in im 0.239 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.239 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.239 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.239 * [taylor]: Taking taylor expansion of 0.5 in im 0.239 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.239 * [taylor]: Taking taylor expansion of (cos re) in im 0.239 * [taylor]: Taking taylor expansion of re in im 0.239 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.240 * [taylor]: Taking taylor expansion of (exp im) in im 0.240 * [taylor]: Taking taylor expansion of im in im 0.240 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.240 * [taylor]: Taking taylor expansion of (- im) in im 0.240 * [taylor]: Taking taylor expansion of im in im 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.240 * [taylor]: Taking taylor expansion of 0.5 in re 0.240 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.240 * [taylor]: Taking taylor expansion of (cos re) in re 0.240 * [taylor]: Taking taylor expansion of re in re 0.240 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.240 * [taylor]: Taking taylor expansion of (exp im) in re 0.240 * [taylor]: Taking taylor expansion of im in re 0.240 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.240 * [taylor]: Taking taylor expansion of (- im) in re 0.240 * [taylor]: Taking taylor expansion of im in re 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.240 * [taylor]: Taking taylor expansion of 0.5 in re 0.240 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.240 * [taylor]: Taking taylor expansion of (cos re) in re 0.240 * [taylor]: Taking taylor expansion of re in re 0.240 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.240 * [taylor]: Taking taylor expansion of (exp im) in re 0.240 * [taylor]: Taking taylor expansion of im in re 0.240 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.240 * [taylor]: Taking taylor expansion of (- im) in re 0.240 * [taylor]: Taking taylor expansion of im in re 0.241 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.241 * [taylor]: Taking taylor expansion of 0.5 in im 0.241 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.241 * [taylor]: Taking taylor expansion of (exp im) in im 0.241 * [taylor]: Taking taylor expansion of im in im 0.241 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.241 * [taylor]: Taking taylor expansion of (- im) in im 0.241 * [taylor]: Taking taylor expansion of im in im 0.244 * [taylor]: Taking taylor expansion of 0 in im 0.250 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.250 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.250 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.250 * [taylor]: Taking taylor expansion of 0.25 in im 0.250 * [taylor]: Taking taylor expansion of (exp im) in im 0.250 * [taylor]: Taking taylor expansion of im in im 0.250 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.250 * [taylor]: Taking taylor expansion of 0.25 in im 0.250 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.250 * [taylor]: Taking taylor expansion of (- im) in im 0.250 * [taylor]: Taking taylor expansion of im in im 0.255 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.256 * [taylor]: Taking taylor expansion of 0.5 in im 0.256 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.256 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.256 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.256 * [taylor]: Taking taylor expansion of 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 im) 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 (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.257 * [taylor]: Taking taylor expansion of 0.5 in re 0.257 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 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 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 im) 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 (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.257 * [taylor]: Taking taylor expansion of 0.5 in re 0.257 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 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 re in re 0.258 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 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 (/ 1 im) in re 0.258 * [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 (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.258 * [taylor]: Taking taylor expansion of 0.5 in im 0.258 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.258 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.258 * [taylor]: Taking taylor expansion of 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 im) 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 0.262 * [taylor]: Taking taylor expansion of 0 in im 0.268 * [taylor]: Taking taylor expansion of 0 in im 0.276 * [taylor]: Taking taylor expansion of 0 in im 0.276 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.276 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.276 * [taylor]: Taking taylor expansion of 0.5 in im 0.276 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.276 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.276 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.276 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.276 * [taylor]: Taking taylor expansion of -1 in im 0.276 * [taylor]: Taking taylor expansion of im in im 0.277 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.277 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.277 * [taylor]: Taking taylor expansion of im in im 0.277 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.277 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.277 * [taylor]: Taking taylor expansion of -1 in im 0.277 * [taylor]: Taking taylor expansion of re in im 0.277 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.277 * [taylor]: Taking taylor expansion of 0.5 in re 0.277 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.277 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.277 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.277 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.277 * [taylor]: Taking taylor expansion of -1 in re 0.277 * [taylor]: Taking taylor expansion of im in re 0.277 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.277 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.277 * [taylor]: Taking taylor expansion of im in re 0.277 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.277 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.277 * [taylor]: Taking taylor expansion of -1 in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.278 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.278 * [taylor]: Taking taylor expansion of 0.5 in re 0.278 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.278 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.278 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.278 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.278 * [taylor]: Taking taylor expansion of -1 in re 0.278 * [taylor]: Taking taylor expansion of im in re 0.278 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.278 * [taylor]: Taking taylor expansion of im in re 0.278 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.278 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.278 * [taylor]: Taking taylor expansion of -1 in re 0.278 * [taylor]: Taking taylor expansion of re in re 0.279 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.279 * [taylor]: Taking taylor expansion of 0.5 in im 0.279 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.279 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.279 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.279 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.279 * [taylor]: Taking taylor expansion of -1 in im 0.279 * [taylor]: Taking taylor expansion of im in im 0.279 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.279 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.279 * [taylor]: Taking taylor expansion of im in im 0.279 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.279 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.279 * [taylor]: Taking taylor expansion of -1 in im 0.279 * [taylor]: Taking taylor expansion of re in im 0.282 * [taylor]: Taking taylor expansion of 0 in im 0.288 * [taylor]: Taking taylor expansion of 0 in im 0.295 * [taylor]: Taking taylor expansion of 0 in im 0.296 * * * [progress]: simplifying candidates 0.296 * [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))) 0.300 * * [simplify]: iteration 0 : 249 enodes (cost 347 ) 0.306 * * [simplify]: iteration 1 : 1229 enodes (cost 286 ) 0.332 * * [simplify]: iteration 2 : 5001 enodes (cost 284 ) 0.334 * [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))) 0.334 * * * [progress]: adding candidates to table 0.429 * * [progress]: iteration 2 / 4 0.429 * * * [progress]: picking best candidate 0.433 * * * * [pick]: Picked # 0.434 * * * [progress]: localizing error 0.442 * * * [progress]: generating rewritten candidates 0.442 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.447 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.460 * * * [progress]: generating series expansions 0.460 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.460 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 0.460 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.460 * [taylor]: Taking taylor expansion of 0.5 in im 0.460 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.460 * [taylor]: Taking taylor expansion of (cos re) in im 0.460 * [taylor]: Taking taylor expansion of re in im 0.460 * [taylor]: Taking taylor expansion of (exp im) in im 0.460 * [taylor]: Taking taylor expansion of im in im 0.461 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.461 * [taylor]: Taking taylor expansion of 0.5 in re 0.461 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.461 * [taylor]: Taking taylor expansion of (cos re) in re 0.461 * [taylor]: Taking taylor expansion of re in re 0.461 * [taylor]: Taking taylor expansion of (exp im) in re 0.461 * [taylor]: Taking taylor expansion of im in re 0.461 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.461 * [taylor]: Taking taylor expansion of 0.5 in re 0.461 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.461 * [taylor]: Taking taylor expansion of (cos re) in re 0.461 * [taylor]: Taking taylor expansion of re in re 0.461 * [taylor]: Taking taylor expansion of (exp im) in re 0.461 * [taylor]: Taking taylor expansion of im in re 0.461 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.461 * [taylor]: Taking taylor expansion of 0.5 in im 0.461 * [taylor]: Taking taylor expansion of (exp im) in im 0.461 * [taylor]: Taking taylor expansion of im in im 0.463 * [taylor]: Taking taylor expansion of 0 in im 0.467 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 0.467 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.467 * [taylor]: Taking taylor expansion of 0.25 in im 0.467 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.467 * [taylor]: Taking taylor expansion of (exp im) in im 0.467 * [taylor]: Taking taylor expansion of im in im 0.469 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.469 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.469 * [taylor]: Taking taylor expansion of 0.5 in im 0.469 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.469 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.469 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.469 * [taylor]: Taking taylor expansion of re in im 0.469 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.469 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.469 * [taylor]: Taking taylor expansion of im in im 0.470 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.470 * [taylor]: Taking taylor expansion of 0.5 in re 0.470 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.470 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.470 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.470 * [taylor]: Taking taylor expansion of re in re 0.470 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.470 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.470 * [taylor]: Taking taylor expansion of im in re 0.471 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.471 * [taylor]: Taking taylor expansion of 0.5 in re 0.471 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.471 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.471 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.471 * [taylor]: Taking taylor expansion of re in re 0.471 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.471 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.471 * [taylor]: Taking taylor expansion of im in re 0.471 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.471 * [taylor]: Taking taylor expansion of 0.5 in im 0.471 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.471 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.471 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.471 * [taylor]: Taking taylor expansion of re in im 0.471 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.471 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.471 * [taylor]: Taking taylor expansion of im in im 0.473 * [taylor]: Taking taylor expansion of 0 in im 0.477 * [taylor]: Taking taylor expansion of 0 in im 0.482 * [taylor]: Taking taylor expansion of 0 in im 0.482 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 0.482 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.483 * [taylor]: Taking taylor expansion of 0.5 in im 0.483 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.483 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.483 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.483 * [taylor]: Taking taylor expansion of -1 in im 0.483 * [taylor]: Taking taylor expansion of re in im 0.483 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.483 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.483 * [taylor]: Taking taylor expansion of -1 in im 0.483 * [taylor]: Taking taylor expansion of im in im 0.483 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.484 * [taylor]: Taking taylor expansion of 0.5 in re 0.484 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.484 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.484 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.484 * [taylor]: Taking taylor expansion of -1 in re 0.484 * [taylor]: Taking taylor expansion of re in re 0.484 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.484 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.484 * [taylor]: Taking taylor expansion of -1 in re 0.484 * [taylor]: Taking taylor expansion of im in re 0.484 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.484 * [taylor]: Taking taylor expansion of 0.5 in re 0.484 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.484 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.484 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.484 * [taylor]: Taking taylor expansion of -1 in re 0.484 * [taylor]: Taking taylor expansion of re in re 0.485 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.485 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.485 * [taylor]: Taking taylor expansion of -1 in re 0.485 * [taylor]: Taking taylor expansion of im in re 0.485 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.485 * [taylor]: Taking taylor expansion of 0.5 in im 0.485 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.485 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.485 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.485 * [taylor]: Taking taylor expansion of -1 in im 0.485 * [taylor]: Taking taylor expansion of re in im 0.485 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.485 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.485 * [taylor]: Taking taylor expansion of -1 in im 0.485 * [taylor]: Taking taylor expansion of im in im 0.487 * [taylor]: Taking taylor expansion of 0 in im 0.492 * [taylor]: Taking taylor expansion of 0 in im 0.497 * [taylor]: Taking taylor expansion of 0 in im 0.497 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.497 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 0.497 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.497 * [taylor]: Taking taylor expansion of 0.5 in im 0.497 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.497 * [taylor]: Taking taylor expansion of (exp im) in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.497 * [taylor]: Taking taylor expansion of (cos re) in im 0.497 * [taylor]: Taking taylor expansion of re in im 0.497 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.497 * [taylor]: Taking taylor expansion of 0.5 in re 0.497 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.497 * [taylor]: Taking taylor expansion of (exp im) in re 0.497 * [taylor]: Taking taylor expansion of im in re 0.497 * [taylor]: Taking taylor expansion of (cos re) in re 0.497 * [taylor]: Taking taylor expansion of re in re 0.498 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.498 * [taylor]: Taking taylor expansion of 0.5 in re 0.498 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.498 * [taylor]: Taking taylor expansion of (exp im) in re 0.498 * [taylor]: Taking taylor expansion of im in re 0.498 * [taylor]: Taking taylor expansion of (cos re) in re 0.498 * [taylor]: Taking taylor expansion of re in re 0.498 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.498 * [taylor]: Taking taylor expansion of 0.5 in im 0.498 * [taylor]: Taking taylor expansion of (exp im) in im 0.498 * [taylor]: Taking taylor expansion of im in im 0.499 * [taylor]: Taking taylor expansion of 0 in im 0.503 * [taylor]: Taking taylor expansion of (- (* 0.25 (exp im))) in im 0.503 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.503 * [taylor]: Taking taylor expansion of 0.25 in im 0.503 * [taylor]: Taking taylor expansion of (exp im) in im 0.503 * [taylor]: Taking taylor expansion of im in im 0.505 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.505 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.505 * [taylor]: Taking taylor expansion of 0.5 in im 0.505 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.505 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.505 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.505 * [taylor]: Taking taylor expansion of re 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 im in im 0.505 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.505 * [taylor]: Taking taylor expansion of 0.5 in re 0.505 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.505 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.505 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.505 * [taylor]: Taking taylor expansion of re in re 0.505 * [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 im in re 0.506 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.506 * [taylor]: Taking taylor expansion of 0.5 in re 0.506 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.506 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.506 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.506 * [taylor]: Taking taylor expansion of re 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 im in re 0.506 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.506 * [taylor]: Taking taylor expansion of 0.5 in im 0.506 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.506 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.506 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.506 * [taylor]: Taking taylor expansion of re in im 0.506 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.506 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.506 * [taylor]: Taking taylor expansion of im in im 0.508 * [taylor]: Taking taylor expansion of 0 in im 0.512 * [taylor]: Taking taylor expansion of 0 in im 0.518 * [taylor]: Taking taylor expansion of 0 in im 0.518 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 0.518 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.518 * [taylor]: Taking taylor expansion of 0.5 in im 0.518 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.518 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.518 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.518 * [taylor]: Taking taylor expansion of -1 in im 0.518 * [taylor]: Taking taylor expansion of im in im 0.518 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.518 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.519 * [taylor]: Taking taylor expansion of -1 in im 0.519 * [taylor]: Taking taylor expansion of re in im 0.519 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.519 * [taylor]: Taking taylor expansion of 0.5 in re 0.519 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.519 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.519 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.519 * [taylor]: Taking taylor expansion of -1 in re 0.519 * [taylor]: Taking taylor expansion of im in re 0.519 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.519 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.519 * [taylor]: Taking taylor expansion of -1 in re 0.519 * [taylor]: Taking taylor expansion of re in re 0.519 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.519 * [taylor]: Taking taylor expansion of 0.5 in re 0.519 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.519 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.519 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.519 * [taylor]: Taking taylor expansion of -1 in re 0.519 * [taylor]: Taking taylor expansion of im in re 0.519 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.519 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.519 * [taylor]: Taking taylor expansion of -1 in re 0.519 * [taylor]: Taking taylor expansion of re in re 0.520 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.520 * [taylor]: Taking taylor expansion of 0.5 in im 0.520 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.520 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.520 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.520 * [taylor]: Taking taylor expansion of -1 in im 0.520 * [taylor]: Taking taylor expansion of im in im 0.520 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.520 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.520 * [taylor]: Taking taylor expansion of -1 in im 0.520 * [taylor]: Taking taylor expansion of re in im 0.522 * [taylor]: Taking taylor expansion of 0 in im 0.526 * [taylor]: Taking taylor expansion of 0 in im 0.531 * [taylor]: Taking taylor expansion of 0 in im 0.532 * * * [progress]: simplifying candidates 0.532 * [simplify]: Simplifying using # : (- (+ (log 0.5) (log (cos re))) im) (- (log (* 0.5 (cos re))) im) (log (/ (* 0.5 (cos re)) (exp im))) (exp (/ (* 0.5 (cos re)) (exp im))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) 1) (/ (exp im) (cos re)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (+ (+ (log 0.5) (log (cos re))) im) (+ (log (* 0.5 (cos re))) im) (log (* (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* 0.5 (cos re)) 1) (* (cos re) (exp im)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 0.536 * * [simplify]: iteration 0 : 203 enodes (cost 268 ) 0.541 * * [simplify]: iteration 1 : 1180 enodes (cost 217 ) 0.569 * * [simplify]: iteration 2 : 5001 enodes (cost 217 ) 0.570 * [simplify]: Simplified to: (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (exp (/ (* 0.5 (cos re)) (exp im))) (pow (* 0.5 (/ (cos re) (exp im))) 3) (pow (* 0.5 (/ (cos re) (exp im))) 3) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (pow (* 0.5 (/ (cos re) (exp im))) 3) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (/ (exp im) (cos re)) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (exp (* (* 0.5 (cos re)) (exp im))) (pow (* 0.5 (* (exp im) (cos re))) 3) (pow (* 0.5 (* (exp im) (cos re))) 3) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (pow (* 0.5 (* (exp im) (cos re))) 3) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (* (cos re) (exp im)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 0.571 * * * [progress]: adding candidates to table 0.666 * * [progress]: iteration 3 / 4 0.666 * * * [progress]: picking best candidate 0.669 * * * * [pick]: Picked # 0.669 * * * [progress]: localizing error 0.687 * * * [progress]: generating rewritten candidates 0.687 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.691 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.695 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.699 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.722 * * * [progress]: generating series expansions 0.722 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.723 * [approximate]: Taking taylor expansion of (log (+ (exp (* -1 im)) (exp im))) in (im) around 0 0.723 * [taylor]: Taking taylor expansion of (log (+ (exp (* -1 im)) (exp im))) in im 0.723 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.723 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.723 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.723 * [taylor]: Taking taylor expansion of -1 in im 0.723 * [taylor]: Taking taylor expansion of im in im 0.724 * [taylor]: Taking taylor expansion of (exp im) in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.724 * [taylor]: Taking taylor expansion of (log (+ (exp (* -1 im)) (exp im))) in im 0.724 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.725 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.725 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.725 * [taylor]: Taking taylor expansion of -1 in im 0.725 * [taylor]: Taking taylor expansion of im in im 0.725 * [taylor]: Taking taylor expansion of (exp im) in im 0.725 * [taylor]: Taking taylor expansion of im in im 0.749 * [approximate]: Taking taylor expansion of (log (+ (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 0.749 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.749 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.749 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.749 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.749 * [taylor]: Taking taylor expansion of -1 in im 0.749 * [taylor]: Taking taylor expansion of im in im 0.749 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.749 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.749 * [taylor]: Taking taylor expansion of im in im 0.750 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.750 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.750 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.750 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.750 * [taylor]: Taking taylor expansion of -1 in im 0.750 * [taylor]: Taking taylor expansion of im in im 0.750 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.750 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.750 * [taylor]: Taking taylor expansion of im in im 0.778 * [approximate]: Taking taylor expansion of (log (+ (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 0.778 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.778 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.778 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.778 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.778 * [taylor]: Taking taylor expansion of -1 in im 0.778 * [taylor]: Taking taylor expansion of im in im 0.778 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.778 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.778 * [taylor]: Taking taylor expansion of im in im 0.779 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.779 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.779 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.779 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.779 * [taylor]: Taking taylor expansion of -1 in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.779 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.779 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.800 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.800 * [approximate]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in (im) around 0 0.800 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.800 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.800 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.801 * [taylor]: Taking taylor expansion of -1 in im 0.801 * [taylor]: Taking taylor expansion of im in im 0.801 * [taylor]: Taking taylor expansion of (exp im) in im 0.801 * [taylor]: Taking taylor expansion of im in im 0.801 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.801 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.801 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.801 * [taylor]: Taking taylor expansion of -1 in im 0.801 * [taylor]: Taking taylor expansion of im in im 0.802 * [taylor]: Taking taylor expansion of (exp im) in im 0.802 * [taylor]: Taking taylor expansion of im in im 0.814 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.814 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.814 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.815 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.815 * [taylor]: Taking taylor expansion of -1 in im 0.815 * [taylor]: Taking taylor expansion of im in im 0.815 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.815 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.815 * [taylor]: Taking taylor expansion of im in im 0.815 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.815 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.815 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.815 * [taylor]: Taking taylor expansion of -1 in im 0.815 * [taylor]: Taking taylor expansion of im in im 0.816 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.816 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.816 * [taylor]: Taking taylor expansion of im in im 0.818 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.818 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.818 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.818 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.818 * [taylor]: Taking taylor expansion of -1 in im 0.818 * [taylor]: Taking taylor expansion of im in im 0.818 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.818 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.818 * [taylor]: Taking taylor expansion of im in im 0.819 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.819 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.819 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.819 * [taylor]: Taking taylor expansion of -1 in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.819 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.819 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.821 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.822 * [approximate]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in (im) around 0 0.822 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.822 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.822 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.822 * [taylor]: Taking taylor expansion of -1 in im 0.822 * [taylor]: Taking taylor expansion of im in im 0.822 * [taylor]: Taking taylor expansion of (exp im) in im 0.822 * [taylor]: Taking taylor expansion of im in im 0.822 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.822 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.822 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.822 * [taylor]: Taking taylor expansion of -1 in im 0.822 * [taylor]: Taking taylor expansion of im in im 0.823 * [taylor]: Taking taylor expansion of (exp im) in im 0.823 * [taylor]: Taking taylor expansion of im in im 0.836 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.836 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.836 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.836 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.836 * [taylor]: Taking taylor expansion of -1 in im 0.836 * [taylor]: Taking taylor expansion of im in im 0.836 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.836 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.836 * [taylor]: Taking taylor expansion of im in im 0.837 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.837 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.837 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.837 * [taylor]: Taking taylor expansion of -1 in im 0.837 * [taylor]: Taking taylor expansion of im in im 0.837 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.837 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.837 * [taylor]: Taking taylor expansion of im in im 0.839 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.839 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.839 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.839 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.839 * [taylor]: Taking taylor expansion of -1 in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.840 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.840 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.840 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.840 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.840 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.840 * [taylor]: Taking taylor expansion of -1 in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.841 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.841 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.841 * [taylor]: Taking taylor expansion of im in im 0.843 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.843 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) in (re im) around 0 0.843 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) in im 0.843 * [taylor]: Taking taylor expansion of 0.5 in im 0.843 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (cos re)) in im 0.843 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.843 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.843 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.843 * [taylor]: Taking taylor expansion of -1 in im 0.843 * [taylor]: Taking taylor expansion of im in im 0.844 * [taylor]: Taking taylor expansion of (exp im) in im 0.844 * [taylor]: Taking taylor expansion of im in im 0.844 * [taylor]: Taking taylor expansion of (cos re) in im 0.844 * [taylor]: Taking taylor expansion of re in im 0.844 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) in re 0.844 * [taylor]: Taking taylor expansion of 0.5 in re 0.844 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (cos re)) in re 0.844 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in re 0.844 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in re 0.844 * [taylor]: Taking taylor expansion of (* -1 im) in re 0.844 * [taylor]: Taking taylor expansion of -1 in re 0.844 * [taylor]: Taking taylor expansion of im in re 0.844 * [taylor]: Taking taylor expansion of (exp im) in re 0.844 * [taylor]: Taking taylor expansion of im in re 0.844 * [taylor]: Taking taylor expansion of (cos re) in re 0.844 * [taylor]: Taking taylor expansion of re in re 0.844 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) in re 0.844 * [taylor]: Taking taylor expansion of 0.5 in re 0.844 * [taylor]: Taking taylor expansion of (* (+ (exp (* -1 im)) (exp im)) (cos re)) in re 0.844 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in re 0.844 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in re 0.844 * [taylor]: Taking taylor expansion of (* -1 im) in re 0.844 * [taylor]: Taking taylor expansion of -1 in re 0.844 * [taylor]: Taking taylor expansion of im in re 0.844 * [taylor]: Taking taylor expansion of (exp im) in re 0.844 * [taylor]: Taking taylor expansion of im in re 0.844 * [taylor]: Taking taylor expansion of (cos re) in re 0.844 * [taylor]: Taking taylor expansion of re in re 0.845 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp (* -1 im)) (exp im))) in im 0.845 * [taylor]: Taking taylor expansion of 0.5 in im 0.845 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.845 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.845 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.845 * [taylor]: Taking taylor expansion of -1 in im 0.845 * [taylor]: Taking taylor expansion of im in im 0.845 * [taylor]: Taking taylor expansion of (exp im) in im 0.845 * [taylor]: Taking taylor expansion of im in im 0.854 * [taylor]: Taking taylor expansion of 0 in im 0.859 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp (* -1 im))) (* 0.25 (exp im)))) in im 0.859 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp (* -1 im))) (* 0.25 (exp im))) in im 0.859 * [taylor]: Taking taylor expansion of (* 0.25 (exp (* -1 im))) in im 0.859 * [taylor]: Taking taylor expansion of 0.25 in im 0.859 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.859 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.860 * [taylor]: Taking taylor expansion of -1 in im 0.860 * [taylor]: Taking taylor expansion of im in im 0.860 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.860 * [taylor]: Taking taylor expansion of 0.25 in im 0.860 * [taylor]: Taking taylor expansion of (exp im) in im 0.860 * [taylor]: Taking taylor expansion of im in im 0.866 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in (re im) around 0 0.866 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in im 0.866 * [taylor]: Taking taylor expansion of 0.5 in im 0.866 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re))) in im 0.866 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.866 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.866 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.866 * [taylor]: Taking taylor expansion of -1 in im 0.866 * [taylor]: Taking taylor expansion of im in im 0.866 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.866 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.866 * [taylor]: Taking taylor expansion of im in im 0.867 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.867 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.867 * [taylor]: Taking taylor expansion of re in im 0.867 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in re 0.867 * [taylor]: Taking taylor expansion of 0.5 in re 0.867 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re))) in re 0.867 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.867 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.867 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.867 * [taylor]: Taking taylor expansion of -1 in re 0.867 * [taylor]: Taking taylor expansion of im in re 0.867 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.867 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.867 * [taylor]: Taking taylor expansion of im in re 0.867 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.867 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.867 * [taylor]: Taking taylor expansion of re in re 0.867 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in re 0.867 * [taylor]: Taking taylor expansion of 0.5 in re 0.867 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re))) in re 0.867 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.867 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.867 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.867 * [taylor]: Taking taylor expansion of -1 in re 0.868 * [taylor]: Taking taylor expansion of im in re 0.868 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.868 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.868 * [taylor]: Taking taylor expansion of im in re 0.868 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.868 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.868 * [taylor]: Taking taylor expansion of re in re 0.868 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re)))) in im 0.868 * [taylor]: Taking taylor expansion of 0.5 in im 0.868 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ 1 re))) in im 0.868 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.868 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.868 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.868 * [taylor]: Taking taylor expansion of -1 in im 0.868 * [taylor]: Taking taylor expansion of im in im 0.869 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.869 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.869 * [taylor]: Taking taylor expansion of im in im 0.869 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.869 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.869 * [taylor]: Taking taylor expansion of re in im 0.872 * [taylor]: Taking taylor expansion of 0 in im 0.877 * [taylor]: Taking taylor expansion of 0 in im 0.884 * [taylor]: Taking taylor expansion of 0 in im 0.885 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.885 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.885 * [taylor]: Taking taylor expansion of 0.5 in im 0.885 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.885 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.885 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.885 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.885 * [taylor]: Taking taylor expansion of -1 in im 0.885 * [taylor]: Taking taylor expansion of im in im 0.885 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.885 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.885 * [taylor]: Taking taylor expansion of im in im 0.885 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.885 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.885 * [taylor]: Taking taylor expansion of -1 in im 0.885 * [taylor]: Taking taylor expansion of re in im 0.886 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.886 * [taylor]: Taking taylor expansion of 0.5 in re 0.886 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.886 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.886 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.886 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.886 * [taylor]: Taking taylor expansion of -1 in re 0.886 * [taylor]: Taking taylor expansion of im in re 0.886 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.886 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.886 * [taylor]: Taking taylor expansion of im in re 0.886 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.886 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.886 * [taylor]: Taking taylor expansion of -1 in re 0.886 * [taylor]: Taking taylor expansion of re in re 0.886 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.886 * [taylor]: Taking taylor expansion of 0.5 in re 0.886 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.886 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.886 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.886 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.886 * [taylor]: Taking taylor expansion of -1 in re 0.886 * [taylor]: Taking taylor expansion of im in re 0.886 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.886 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.886 * [taylor]: Taking taylor expansion of im in re 0.886 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.886 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.887 * [taylor]: Taking taylor expansion of -1 in re 0.887 * [taylor]: Taking taylor expansion of re in re 0.887 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.887 * [taylor]: Taking taylor expansion of 0.5 in im 0.887 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.887 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.887 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.887 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.887 * [taylor]: Taking taylor expansion of -1 in im 0.887 * [taylor]: Taking taylor expansion of im in im 0.888 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.888 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.888 * [taylor]: Taking taylor expansion of im in im 0.888 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.888 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.888 * [taylor]: Taking taylor expansion of -1 in im 0.888 * [taylor]: Taking taylor expansion of re in im 0.891 * [taylor]: Taking taylor expansion of 0 in im 0.896 * [taylor]: Taking taylor expansion of 0 in im 0.903 * [taylor]: Taking taylor expansion of 0 in im 0.903 * * * [progress]: simplifying candidates 0.904 * [simplify]: Simplifying using # : (log (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im))))) (log (cbrt (+ (exp (* -1 im)) (exp im)))) (log (sqrt (+ (exp (* -1 im)) (exp im)))) (log (sqrt (+ (exp (* -1 im)) (exp im)))) (log 1) (log (+ (exp (* -1 im)) (exp im))) (log 1) (log (+ (exp (* -1 im)) (exp im))) (log (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3))) (log (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im))))) (log (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im)))) (log (- (exp (* -1 im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (log (log (+ (exp (* -1 im)) (exp im)))) (exp (log (+ (exp (* -1 im)) (exp im)))) (* (cbrt (log (+ (exp (* -1 im)) (exp im)))) (cbrt (log (+ (exp (* -1 im)) (exp im))))) (cbrt (log (+ (exp (* -1 im)) (exp im)))) (* (* (log (+ (exp (* -1 im)) (exp im))) (log (+ (exp (* -1 im)) (exp im)))) (log (+ (exp (* -1 im)) (exp im)))) (sqrt (log (+ (exp (* -1 im)) (exp im)))) (sqrt (log (+ (exp (* -1 im)) (exp im)))) (exp 1) (exp (* (cbrt (log (+ (exp (* -1 im)) (exp im)))) (cbrt (log (+ (exp (* -1 im)) (exp im)))))) (exp (sqrt (log (+ (exp (* -1 im)) (exp im))))) (exp 1) (exp (log (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))))) (exp (log (cbrt (+ (exp (* -1 im)) (exp im))))) (exp (log (sqrt (+ (exp (* -1 im)) (exp im))))) (exp (log (sqrt (+ (exp (* -1 im)) (exp im))))) (exp (log 1)) (exp (log (+ (exp (* -1 im)) (exp im)))) (exp (log 1)) (exp (log (+ (exp (* -1 im)) (exp im)))) (exp (log (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)))) (exp (log (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))))) (exp (log (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))))) (exp (log (- (exp (* -1 im)) (exp im)))) (log (exp (log (+ (exp (* -1 im)) (exp im))))) (exp (exp (log (+ (exp (* -1 im)) (exp im))))) (* (cbrt (exp (log (+ (exp (* -1 im)) (exp im))))) (cbrt (exp (log (+ (exp (* -1 im)) (exp im)))))) (cbrt (exp (log (+ (exp (* -1 im)) (exp im))))) (* (* (exp (log (+ (exp (* -1 im)) (exp im)))) (exp (log (+ (exp (* -1 im)) (exp im))))) (exp (log (+ (exp (* -1 im)) (exp im))))) (sqrt (exp (log (+ (exp (* -1 im)) (exp im))))) (sqrt (exp (log (+ (exp (* -1 im)) (exp im))))) (* (exp (exp (* -1 im))) (exp 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2))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.909 * * [simplify]: iteration 0 : 279 enodes (cost 682 ) 0.914 * * [simplify]: iteration 1 : 1185 enodes (cost 587 ) 0.940 * * [simplify]: iteration 2 : 5001 enodes (cost 560 ) 0.943 * [simplify]: Simplified to: (* 2 (log (cbrt (+ (exp (* -1 im)) (exp im))))) (log (cbrt (+ (exp (* -1 im)) (exp im)))) (log (sqrt (+ (exp (* -1 im)) (exp im)))) (log (sqrt (+ (exp (* -1 im)) (exp im)))) 0 (log (+ (exp (* -1 im)) (exp im))) 0 (log (+ (exp (* -1 im)) (exp im))) (log (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3))) (log (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im))))) (log (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im)))) (log (- (exp (* -1 im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (log (log (+ (exp (* -1 im)) (exp im)))) (+ (exp (* -1 im)) (exp im)) (* (cbrt (log (+ (exp (* -1 im)) (exp im)))) (cbrt (log (+ (exp (* -1 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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)) (- (+ (* 0.5 (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))) 0.943 * * * [progress]: adding candidates to table 1.154 * [progress]: [Phase 3 of 3] Extracting. 1.154 * * [regime]: Finding splitpoints for: (# #) 1.154 * * * [regime-changes]: Trying 4 branch expressions: ((cos re) (* 0.5 (cos re)) im re) 1.155 * * * * [regimes]: Trying to branch on (cos re) from (# #) 1.169 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 1.187 * * * * [regimes]: Trying to branch on im from (# #) 1.199 * * * * [regimes]: Trying to branch on re from (# #) 1.214 * * * [regime]: Found split indices: #