9.813 * [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))) 0.091 * [simplify]: Sending expressions to egg_math: (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2))) 0.093 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.094 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.096 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.098 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.101 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.105 * * [simplify]: iteration 5 : 629 enodes (cost 7 ) 0.112 * * [simplify]: iteration 6 : 1415 enodes (cost 7 ) 0.124 * * [simplify]: iteration 7 : 2148 enodes (cost 7 ) 0.161 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.162 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.162 * * [progress]: iteration 1 / 4 0.162 * * * [progress]: picking best candidate 0.164 * * * * [pick]: Picked # 0.164 * * * [progress]: localizing error 0.178 * * * [progress]: generating rewritten candidates 0.178 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.197 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.260 * * * [progress]: generating series expansions 0.261 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.261 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.261 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.261 * [taylor]: Taking taylor expansion of (exp im) in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.261 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.261 * [taylor]: Taking taylor expansion of (- im) in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.262 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.262 * [taylor]: Taking taylor expansion of (exp im) in im 0.262 * [taylor]: Taking taylor expansion of im in im 0.262 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.262 * [taylor]: Taking taylor expansion of (- im) in im 0.262 * [taylor]: Taking taylor expansion of im in im 0.276 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 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 im) in im 0.276 * [taylor]: Taking taylor expansion of 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 im in im 0.277 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 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 (/ 1 im) in im 0.277 * [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 0.279 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 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 0.280 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.280 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.280 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.280 * [taylor]: Taking taylor expansion of -1 in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.280 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.282 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.282 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.282 * [taylor]: Taking taylor expansion of 0.5 in im 0.282 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.282 * [taylor]: Taking taylor expansion of (cos re) in im 0.282 * [taylor]: Taking taylor expansion of re in im 0.282 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.282 * [taylor]: Taking taylor expansion of (exp im) in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.282 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.282 * [taylor]: Taking taylor expansion of (- im) in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.283 * [taylor]: Taking taylor expansion of 0.5 in re 0.283 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.283 * [taylor]: Taking taylor expansion of (cos re) in re 0.283 * [taylor]: Taking taylor expansion of re in re 0.283 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.283 * [taylor]: Taking taylor expansion of (exp im) in re 0.283 * [taylor]: Taking taylor expansion of im in re 0.283 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.283 * [taylor]: Taking taylor expansion of (- im) in re 0.283 * [taylor]: Taking taylor expansion of im in re 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.283 * [taylor]: Taking taylor expansion of 0.5 in re 0.283 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.283 * [taylor]: Taking taylor expansion of (cos re) in re 0.283 * [taylor]: Taking taylor expansion of re in re 0.283 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.283 * [taylor]: Taking taylor expansion of (exp im) in re 0.283 * [taylor]: Taking taylor expansion of im in re 0.283 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.283 * [taylor]: Taking taylor expansion of (- im) in re 0.283 * [taylor]: Taking taylor expansion of im in re 0.284 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.284 * [taylor]: Taking taylor expansion of 0.5 in im 0.284 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.284 * [taylor]: Taking taylor expansion of (exp im) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.284 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.284 * [taylor]: Taking taylor expansion of (- im) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.287 * [taylor]: Taking taylor expansion of 0 in im 0.292 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.292 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.292 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.292 * [taylor]: Taking taylor expansion of 0.25 in im 0.292 * [taylor]: Taking taylor expansion of (exp im) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.292 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.292 * [taylor]: Taking taylor expansion of 0.25 in im 0.292 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.292 * [taylor]: Taking taylor expansion of (- im) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.298 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.298 * [taylor]: Taking taylor expansion of 0.5 in im 0.298 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.298 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.298 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.298 * [taylor]: Taking taylor expansion of re in im 0.298 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.298 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.298 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.298 * [taylor]: Taking taylor expansion of im in im 0.298 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.299 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.299 * [taylor]: Taking taylor expansion of im in im 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.299 * [taylor]: Taking taylor expansion of 0.5 in re 0.299 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.299 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.299 * [taylor]: Taking taylor expansion of re in re 0.299 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.299 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.299 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.299 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.299 * [taylor]: Taking taylor expansion of im in re 0.299 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.299 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.299 * [taylor]: Taking taylor expansion of im in re 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.299 * [taylor]: Taking taylor expansion of 0.5 in re 0.299 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.299 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.300 * [taylor]: Taking taylor expansion of re in re 0.300 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.300 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.300 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.300 * [taylor]: Taking taylor expansion of im in re 0.300 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.300 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.300 * [taylor]: Taking taylor expansion of im in re 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.300 * [taylor]: Taking taylor expansion of 0.5 in im 0.300 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.301 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.301 * [taylor]: Taking taylor expansion of re in im 0.301 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.301 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.301 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.301 * [taylor]: Taking taylor expansion of im in im 0.301 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.301 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.301 * [taylor]: Taking taylor expansion of im in im 0.304 * [taylor]: Taking taylor expansion of 0 in im 0.310 * [taylor]: Taking taylor expansion of 0 in im 0.321 * [taylor]: Taking taylor expansion of 0 in im 0.322 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.322 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.322 * [taylor]: Taking taylor expansion of 0.5 in im 0.322 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.322 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.322 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.322 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.322 * [taylor]: Taking taylor expansion of -1 in im 0.322 * [taylor]: Taking taylor expansion of im in im 0.322 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.322 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.322 * [taylor]: Taking taylor expansion of im in im 0.322 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.322 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.322 * [taylor]: Taking taylor expansion of -1 in im 0.322 * [taylor]: Taking taylor expansion of re in im 0.323 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.323 * [taylor]: Taking taylor expansion of 0.5 in re 0.323 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.323 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.323 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.323 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.323 * [taylor]: Taking taylor expansion of -1 in re 0.323 * [taylor]: Taking taylor expansion of im in re 0.323 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.323 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.323 * [taylor]: Taking taylor expansion of im in re 0.323 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.323 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.323 * [taylor]: Taking taylor expansion of -1 in re 0.323 * [taylor]: Taking taylor expansion of re in re 0.323 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.323 * [taylor]: Taking taylor expansion of 0.5 in re 0.323 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.323 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.323 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.323 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.323 * [taylor]: Taking taylor expansion of -1 in re 0.323 * [taylor]: Taking taylor expansion of im in re 0.323 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.323 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.323 * [taylor]: Taking taylor expansion of im in re 0.324 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.324 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.324 * [taylor]: Taking taylor expansion of -1 in re 0.324 * [taylor]: Taking taylor expansion of re in re 0.324 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.324 * [taylor]: Taking taylor expansion of 0.5 in im 0.324 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.324 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.324 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.324 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.324 * [taylor]: Taking taylor expansion of -1 in im 0.324 * [taylor]: Taking taylor expansion of im in im 0.325 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.325 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.325 * [taylor]: Taking taylor expansion of im in im 0.325 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.325 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.325 * [taylor]: Taking taylor expansion of -1 in im 0.325 * [taylor]: Taking taylor expansion of re in im 0.328 * [taylor]: Taking taylor expansion of 0 in im 0.333 * [taylor]: Taking taylor expansion of 0 in im 0.339 * [taylor]: Taking taylor expansion of 0 in im 0.340 * * * [progress]: simplifying candidates 0.340 * [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))) 0.341 * [simplify]: Sending expressions to egg_math: (* (exp (exp (- h0))) (exp (exp h0))) (log (+ (exp (- h0)) (exp h0))) (exp (+ (exp (- h0)) (exp h0))) (* (cbrt (+ (exp (- h0)) (exp h0))) (cbrt (+ (exp (- h0)) (exp h0)))) (cbrt (+ (exp (- h0)) (exp h0))) (* (* (+ (exp (- h0)) (exp h0)) (+ (exp (- h0)) (exp h0))) (+ (exp (- h0)) (exp h0))) (sqrt (+ (exp (- h0)) (exp h0))) (sqrt (+ (exp (- h0)) (exp h0))) (+ (pow (exp (- h0)) 3) (pow (exp h0) 3)) (+ (* (exp (- h0)) (exp (- h0))) (- (* (exp h0) (exp h0)) (* (exp (- h0)) (exp h0)))) (- (* (exp (- h0)) (exp (- h0))) (* (exp h0) (exp h0))) (- (exp (- h0)) (exp h0)) (+ (exp (- h0)) (exp h0)) (* (* h1 (cos h2)) (+ (exp (- h0)) (exp h0))) (* (* h1 (cos h2)) (+ (exp (- h0)) (exp h0))) (+ (+ (log h1) (log (cos h2))) (log (+ (exp (- h0)) (exp h0)))) (+ (log (* h1 (cos h2))) (log (+ (exp (- h0)) (exp h0)))) (log (* (* h1 (cos h2)) (+ (exp (- h0)) (exp h0)))) (exp (* (* h1 (cos h2)) (+ (exp (- h0)) (exp h0)))) (* (* (* (* h1 h1) h1) (* (* (cos h2) (cos h2)) (cos h2))) (* (* (+ (exp (- h0)) (exp h0)) (+ (exp (- h0)) (exp h0))) (+ (exp (- h0)) (exp h0)))) (* (* (* (* h1 (cos h2)) (* h1 (cos h2))) (* h1 (cos h2))) (* (* (+ (exp (- h0)) (exp h0)) (+ (exp (- h0)) (exp h0))) (+ (exp (- h0)) (exp h0)))) (* (cbrt (* (* h1 (cos h2)) (+ (exp (- h0)) (exp h0)))) (cbrt (* (* h1 (cos h2)) (+ (exp (- h0)) (exp h0))))) (cbrt (* (* h1 (cos h2)) (+ (exp (- h0)) (exp h0)))) (* (* (* (* h1 (cos h2)) (+ (exp (- h0)) (exp h0))) (* (* h1 (cos h2)) (+ (exp (- h0)) (exp h0)))) (* (* h1 (cos h2)) (+ (exp (- h0)) (exp h0)))) (sqrt (* (* h1 (cos h2)) (+ (exp (- h0)) (exp h0)))) (sqrt (* (* h1 (cos h2)) (+ (exp (- h0)) (exp h0)))) (* (* h1 (cos h2)) (exp (- h0))) (* (* h1 (cos h2)) (exp h0)) (* (exp (- h0)) (* h1 (cos h2))) (* (exp h0) (* h1 (cos h2))) (* (* h1 (cos h2)) (* (cbrt (+ (exp (- h0)) (exp h0))) (cbrt (+ (exp (- h0)) (exp h0))))) (* (* h1 (cos h2)) (sqrt (+ (exp (- h0)) (exp h0)))) (* (* h1 (cos h2)) 1) (* (* h1 (cos h2)) 1) (* (cos h2) (+ (exp (- h0)) (exp h0))) (* (* h1 (cos h2)) (+ (pow (exp (- h0)) 3) (pow (exp h0) 3))) (* (* h1 (cos h2)) (- (* (exp (- h0)) (exp (- h0))) (* (exp h0) (exp h0)))) (+ (* 1/12 (pow h0 4)) (+ (pow h0 2) 2)) (+ (exp h0) (exp (- h0))) (+ (exp (* -1 h0)) (exp h0)) (- (+ (* h1 (pow h0 2)) h3) (* h1 (pow h2 2))) (* h1 (* (cos h2) (+ (exp h0) (exp (- h0))))) (* h1 (* (+ (exp (* -1 h0)) (exp h0)) (cos h2))) 0.344 * * [simplify]: iteration 0 : 249 enodes (cost 347 ) 0.350 * * [simplify]: iteration 1 : 1229 enodes (cost 286 ) 0.375 * * [simplify]: iteration 2 : 5001 enodes (cost 284 ) 0.377 * [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))) 0.377 * * * [progress]: adding candidates to table 0.469 * * [progress]: iteration 2 / 4 0.469 * * * [progress]: picking best candidate 0.471 * * * * [pick]: Picked # 0.471 * * * [progress]: localizing error 0.480 * * * [progress]: generating rewritten candidates 0.480 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.494 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.521 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.549 * * * [progress]: generating series expansions 0.549 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.549 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 0.549 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.549 * [taylor]: Taking taylor expansion of 0.5 in im 0.549 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.549 * [taylor]: Taking taylor expansion of (cos re) in im 0.549 * [taylor]: Taking taylor expansion of re in im 0.549 * [taylor]: Taking taylor expansion of (exp im) in im 0.549 * [taylor]: Taking taylor expansion of im in im 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.550 * [taylor]: Taking taylor expansion of 0.5 in re 0.550 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.550 * [taylor]: Taking taylor expansion of (cos re) in re 0.550 * [taylor]: Taking taylor expansion of re in re 0.550 * [taylor]: Taking taylor expansion of (exp im) in re 0.550 * [taylor]: Taking taylor expansion of im in re 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.550 * [taylor]: Taking taylor expansion of 0.5 in re 0.550 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.550 * [taylor]: Taking taylor expansion of (cos re) in re 0.550 * [taylor]: Taking taylor expansion of re in re 0.550 * [taylor]: Taking taylor expansion of (exp im) in re 0.550 * [taylor]: Taking taylor expansion of im in re 0.551 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.551 * [taylor]: Taking taylor expansion of 0.5 in im 0.551 * [taylor]: Taking taylor expansion of (exp im) in im 0.551 * [taylor]: Taking taylor expansion of im in im 0.552 * [taylor]: Taking taylor expansion of 0 in im 0.556 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 0.556 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.556 * [taylor]: Taking taylor expansion of 0.25 in im 0.556 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.557 * [taylor]: Taking taylor expansion of (exp im) in im 0.557 * [taylor]: Taking taylor expansion of im in im 0.558 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.558 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.558 * [taylor]: Taking taylor expansion of 0.5 in im 0.558 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.558 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.558 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.558 * [taylor]: Taking taylor expansion of re in im 0.558 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.558 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.558 * [taylor]: Taking taylor expansion of im in im 0.559 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.559 * [taylor]: Taking taylor expansion of 0.5 in re 0.559 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.559 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.559 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.559 * [taylor]: Taking taylor expansion of re in re 0.559 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.559 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.559 * [taylor]: Taking taylor expansion of im in re 0.559 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.559 * [taylor]: Taking taylor expansion of 0.5 in re 0.560 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.560 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.560 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.560 * [taylor]: Taking taylor expansion of re in re 0.560 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.560 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.560 * [taylor]: Taking taylor expansion of im in re 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.560 * [taylor]: Taking taylor expansion of 0.5 in im 0.560 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 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 0.560 * [taylor]: Taking taylor expansion of 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 im in im 0.562 * [taylor]: Taking taylor expansion of 0 in im 0.566 * [taylor]: Taking taylor expansion of 0 in im 0.571 * [taylor]: Taking taylor expansion of 0 in im 0.571 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.571 * [taylor]: Taking taylor expansion of 0.5 in im 0.571 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.571 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.571 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.571 * [taylor]: Taking taylor expansion of -1 in im 0.571 * [taylor]: Taking taylor expansion of re in im 0.571 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.571 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.571 * [taylor]: Taking taylor expansion of -1 in im 0.571 * [taylor]: Taking taylor expansion of im in im 0.572 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.572 * [taylor]: Taking taylor expansion of 0.5 in re 0.572 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.572 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.572 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.572 * [taylor]: Taking taylor expansion of -1 in re 0.572 * [taylor]: Taking taylor expansion of re in re 0.572 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.572 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.572 * [taylor]: Taking taylor expansion of -1 in re 0.573 * [taylor]: Taking taylor expansion of im in re 0.573 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.573 * [taylor]: Taking taylor expansion of 0.5 in re 0.573 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.573 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.573 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.573 * [taylor]: Taking taylor expansion of -1 in re 0.573 * [taylor]: Taking taylor expansion of re in re 0.573 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.573 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.573 * [taylor]: Taking taylor expansion of -1 in re 0.573 * [taylor]: Taking taylor expansion of im in re 0.573 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.573 * [taylor]: Taking taylor expansion of 0.5 in im 0.573 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.573 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.573 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.573 * [taylor]: Taking taylor expansion of -1 in im 0.573 * [taylor]: Taking taylor expansion of re in im 0.574 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.574 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.574 * [taylor]: Taking taylor expansion of -1 in im 0.574 * [taylor]: Taking taylor expansion of im in im 0.575 * [taylor]: Taking taylor expansion of 0 in im 0.579 * [taylor]: Taking taylor expansion of 0 in im 0.584 * [taylor]: Taking taylor expansion of 0 in im 0.584 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.584 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 0.584 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 0.585 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.585 * [taylor]: Taking taylor expansion of 0.5 in im 0.585 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.585 * [taylor]: Taking taylor expansion of (exp im) in im 0.585 * [taylor]: Taking taylor expansion of im in im 0.585 * [taylor]: Taking taylor expansion of (cos re) in im 0.585 * [taylor]: Taking taylor expansion of re in im 0.585 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.585 * [taylor]: Taking taylor expansion of 0.5 in im 0.585 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.585 * [taylor]: Taking taylor expansion of (cos re) in im 0.585 * [taylor]: Taking taylor expansion of re in im 0.585 * [taylor]: Taking taylor expansion of (exp im) in im 0.585 * [taylor]: Taking taylor expansion of im in im 0.585 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.585 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.585 * [taylor]: Taking taylor expansion of 0.5 in re 0.585 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.585 * [taylor]: Taking taylor expansion of (exp im) in re 0.585 * [taylor]: Taking taylor expansion of im in re 0.585 * [taylor]: Taking taylor expansion of (cos re) in re 0.585 * [taylor]: Taking taylor expansion of re in re 0.585 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.585 * [taylor]: Taking taylor expansion of 0.5 in re 0.585 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.585 * [taylor]: Taking taylor expansion of (cos re) in re 0.585 * [taylor]: Taking taylor expansion of re in re 0.585 * [taylor]: Taking taylor expansion of (exp im) in re 0.585 * [taylor]: Taking taylor expansion of im in re 0.586 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.586 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.586 * [taylor]: Taking taylor expansion of 0.5 in re 0.586 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.586 * [taylor]: Taking taylor expansion of (exp im) in re 0.586 * [taylor]: Taking taylor expansion of im in re 0.586 * [taylor]: Taking taylor expansion of (cos re) in re 0.586 * [taylor]: Taking taylor expansion of re in re 0.586 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.586 * [taylor]: Taking taylor expansion of 0.5 in re 0.586 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.586 * [taylor]: Taking taylor expansion of (cos re) in re 0.586 * [taylor]: Taking taylor expansion of re in re 0.586 * [taylor]: Taking taylor expansion of (exp im) in re 0.586 * [taylor]: Taking taylor expansion of im in re 0.586 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 0.586 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 0.586 * [taylor]: Taking taylor expansion of 0.5 in im 0.586 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.586 * [taylor]: Taking taylor expansion of (exp im) in im 0.586 * [taylor]: Taking taylor expansion of im in im 0.586 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.586 * [taylor]: Taking taylor expansion of 0.5 in im 0.586 * [taylor]: Taking taylor expansion of (exp im) in im 0.586 * [taylor]: Taking taylor expansion of im in im 0.590 * [taylor]: Taking taylor expansion of 0 in im 0.597 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 0.597 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 0.597 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.597 * [taylor]: Taking taylor expansion of 0.25 in im 0.597 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.597 * [taylor]: Taking taylor expansion of (exp im) in im 0.597 * [taylor]: Taking taylor expansion of im in im 0.597 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.597 * [taylor]: Taking taylor expansion of 0.25 in im 0.597 * [taylor]: Taking taylor expansion of (exp im) in im 0.597 * [taylor]: Taking taylor expansion of im in im 0.604 * [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 0.604 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.604 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.604 * [taylor]: Taking taylor expansion of 0.5 in im 0.604 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.604 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.604 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.604 * [taylor]: Taking taylor expansion of re in im 0.604 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.604 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.604 * [taylor]: Taking taylor expansion of im in im 0.604 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.604 * [taylor]: Taking taylor expansion of 0.5 in im 0.604 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.604 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.604 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.604 * [taylor]: Taking taylor expansion of re in im 0.604 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.604 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.604 * [taylor]: Taking taylor expansion of im in im 0.605 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.605 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.605 * [taylor]: Taking taylor expansion of 0.5 in re 0.605 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.605 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.605 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.605 * [taylor]: Taking taylor expansion of re in re 0.605 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.605 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.605 * [taylor]: Taking taylor expansion of im in re 0.605 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.605 * [taylor]: Taking taylor expansion of 0.5 in re 0.605 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.606 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.606 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.606 * [taylor]: Taking taylor expansion of re in re 0.606 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.606 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.606 * [taylor]: Taking taylor expansion of im in re 0.606 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.606 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.606 * [taylor]: Taking taylor expansion of 0.5 in re 0.606 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.606 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.606 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.606 * [taylor]: Taking taylor expansion of re in re 0.606 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.606 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.606 * [taylor]: Taking taylor expansion of im in re 0.606 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.606 * [taylor]: Taking taylor expansion of 0.5 in re 0.606 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.607 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.607 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.607 * [taylor]: Taking taylor expansion of re in re 0.607 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.607 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.607 * [taylor]: Taking taylor expansion of im in re 0.607 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.607 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.607 * [taylor]: Taking taylor expansion of 0.5 in im 0.607 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.608 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.608 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.608 * [taylor]: Taking taylor expansion of re in im 0.608 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.608 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.608 * [taylor]: Taking taylor expansion of im in im 0.608 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.608 * [taylor]: Taking taylor expansion of 0.5 in im 0.608 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.608 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.608 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.608 * [taylor]: Taking taylor expansion of re in im 0.608 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.608 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.608 * [taylor]: Taking taylor expansion of im in im 0.616 * [taylor]: Taking taylor expansion of 0 in im 0.624 * [taylor]: Taking taylor expansion of 0 in im 0.634 * [taylor]: Taking taylor expansion of 0 in im 0.635 * [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 0.635 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.635 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.635 * [taylor]: Taking taylor expansion of 0.5 in im 0.635 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.635 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.635 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.635 * [taylor]: Taking taylor expansion of -1 in im 0.635 * [taylor]: Taking taylor expansion of re in im 0.635 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.635 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.635 * [taylor]: Taking taylor expansion of -1 in im 0.635 * [taylor]: Taking taylor expansion of im in im 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.636 * [taylor]: Taking taylor expansion of 0.5 in im 0.636 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.636 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.636 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.636 * [taylor]: Taking taylor expansion of -1 in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.636 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.636 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.636 * [taylor]: Taking taylor expansion of -1 in im 0.636 * [taylor]: Taking taylor expansion of re in im 0.636 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.637 * [taylor]: Taking taylor expansion of 0.5 in re 0.637 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.637 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.637 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.637 * [taylor]: Taking taylor expansion of -1 in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.637 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.637 * [taylor]: Taking taylor expansion of -1 in re 0.637 * [taylor]: Taking taylor expansion of im in re 0.637 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.637 * [taylor]: Taking taylor expansion of 0.5 in re 0.637 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.637 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.637 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.637 * [taylor]: Taking taylor expansion of -1 in re 0.637 * [taylor]: Taking taylor expansion of im in re 0.638 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.638 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.638 * [taylor]: Taking taylor expansion of -1 in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.638 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.638 * [taylor]: Taking taylor expansion of 0.5 in re 0.638 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.638 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.638 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.638 * [taylor]: Taking taylor expansion of -1 in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.638 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.639 * [taylor]: Taking taylor expansion of -1 in re 0.639 * [taylor]: Taking taylor expansion of im in re 0.639 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.639 * [taylor]: Taking taylor expansion of 0.5 in re 0.639 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.639 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.639 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.639 * [taylor]: Taking taylor expansion of -1 in re 0.639 * [taylor]: Taking taylor expansion of im in re 0.639 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.639 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.639 * [taylor]: Taking taylor expansion of -1 in re 0.639 * [taylor]: Taking taylor expansion of re in re 0.640 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.640 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.640 * [taylor]: Taking taylor expansion of 0.5 in im 0.640 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.640 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.640 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.640 * [taylor]: Taking taylor expansion of -1 in im 0.640 * [taylor]: Taking taylor expansion of re in im 0.640 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.640 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.640 * [taylor]: Taking taylor expansion of -1 in im 0.640 * [taylor]: Taking taylor expansion of im in im 0.641 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.641 * [taylor]: Taking taylor expansion of 0.5 in im 0.641 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.641 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.641 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.641 * [taylor]: Taking taylor expansion of -1 in im 0.641 * [taylor]: Taking taylor expansion of im in im 0.641 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.641 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.641 * [taylor]: Taking taylor expansion of -1 in im 0.641 * [taylor]: Taking taylor expansion of re in im 0.644 * [taylor]: Taking taylor expansion of 0 in im 0.652 * [taylor]: Taking taylor expansion of 0 in im 0.662 * [taylor]: Taking taylor expansion of 0 in im 0.662 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.662 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 0.663 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.663 * [taylor]: Taking taylor expansion of 0.5 in im 0.663 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.663 * [taylor]: Taking taylor expansion of (exp im) in im 0.663 * [taylor]: Taking taylor expansion of im in im 0.663 * [taylor]: Taking taylor expansion of (cos re) in im 0.663 * [taylor]: Taking taylor expansion of re in im 0.663 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.663 * [taylor]: Taking taylor expansion of 0.5 in re 0.663 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.663 * [taylor]: Taking taylor expansion of (exp im) in re 0.663 * [taylor]: Taking taylor expansion of im in re 0.663 * [taylor]: Taking taylor expansion of (cos re) in re 0.663 * [taylor]: Taking taylor expansion of re in re 0.663 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.663 * [taylor]: Taking taylor expansion of 0.5 in re 0.663 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.663 * [taylor]: Taking taylor expansion of (exp im) in re 0.663 * [taylor]: Taking taylor expansion of im in re 0.663 * [taylor]: Taking taylor expansion of (cos re) in re 0.663 * [taylor]: Taking taylor expansion of re in re 0.663 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.663 * [taylor]: Taking taylor expansion of 0.5 in im 0.663 * [taylor]: Taking taylor expansion of (exp im) in im 0.663 * [taylor]: Taking taylor expansion of im in im 0.665 * [taylor]: Taking taylor expansion of 0 in im 0.668 * [taylor]: Taking taylor expansion of (- (* 0.25 (exp im))) in im 0.668 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.668 * [taylor]: Taking taylor expansion of 0.25 in im 0.668 * [taylor]: Taking taylor expansion of (exp im) in im 0.668 * [taylor]: Taking taylor expansion of im in im 0.669 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.669 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.669 * [taylor]: Taking taylor expansion of 0.5 in im 0.669 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.669 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.669 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.669 * [taylor]: Taking taylor expansion of re in im 0.669 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.669 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.669 * [taylor]: Taking taylor expansion of im in im 0.670 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.670 * [taylor]: Taking taylor expansion of 0.5 in re 0.670 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.670 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.670 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.670 * [taylor]: Taking taylor expansion of re in re 0.670 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.670 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.670 * [taylor]: Taking taylor expansion of im in re 0.670 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.670 * [taylor]: Taking taylor expansion of 0.5 in re 0.670 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.670 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.670 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.670 * [taylor]: Taking taylor expansion of re in re 0.670 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.670 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.670 * [taylor]: Taking taylor expansion of im in re 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.671 * [taylor]: Taking taylor expansion of 0.5 in im 0.671 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.671 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.671 * [taylor]: Taking taylor expansion of re in im 0.671 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.671 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.671 * [taylor]: Taking taylor expansion of im in im 0.673 * [taylor]: Taking taylor expansion of 0 in im 0.676 * [taylor]: Taking taylor expansion of 0 in im 0.681 * [taylor]: Taking taylor expansion of 0 in im 0.682 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.682 * [taylor]: Taking taylor expansion of 0.5 in im 0.682 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.682 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.682 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.682 * [taylor]: Taking taylor expansion of -1 in im 0.682 * [taylor]: Taking taylor expansion of im in im 0.682 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.682 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.682 * [taylor]: Taking taylor expansion of -1 in im 0.682 * [taylor]: Taking taylor expansion of re in im 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.682 * [taylor]: Taking taylor expansion of 0.5 in re 0.682 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.682 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.682 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.682 * [taylor]: Taking taylor expansion of -1 in re 0.682 * [taylor]: Taking taylor expansion of im in re 0.682 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.682 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.682 * [taylor]: Taking taylor expansion of -1 in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.683 * [taylor]: Taking taylor expansion of 0.5 in re 0.683 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.683 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.683 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.683 * [taylor]: Taking taylor expansion of -1 in re 0.683 * [taylor]: Taking taylor expansion of im in re 0.683 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.683 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.683 * [taylor]: Taking taylor expansion of -1 in re 0.683 * [taylor]: Taking taylor expansion of re in re 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.684 * [taylor]: Taking taylor expansion of 0.5 in im 0.684 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.684 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.684 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.684 * [taylor]: Taking taylor expansion of -1 in im 0.684 * [taylor]: Taking taylor expansion of im in im 0.684 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.684 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.684 * [taylor]: Taking taylor expansion of -1 in im 0.684 * [taylor]: Taking taylor expansion of re in im 0.686 * [taylor]: Taking taylor expansion of 0 in im 0.690 * [taylor]: Taking taylor expansion of 0 in im 0.695 * [taylor]: Taking taylor expansion of 0 in im 0.695 * * * [progress]: simplifying candidates 0.696 * [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)) (* (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 (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 (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)))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 0.696 * [simplify]: Sending expressions to egg_math: (- (+ (log h0) (log (cos h1))) h2) (- (log (* h0 (cos h1))) h2) (log (/ (* h0 (cos h1)) (exp h2))) (exp (/ (* h0 (cos h1)) (exp h2))) (/ (* (* (* h0 h0) h0) (* (* (cos h1) (cos h1)) (cos h1))) (* (* (exp h2) (exp h2)) (exp h2))) (/ (* (* (* h0 (cos h1)) (* h0 (cos h1))) (* h0 (cos h1))) (* (* (exp h2) (exp h2)) (exp h2))) (* (cbrt (/ (* h0 (cos h1)) (exp h2))) (cbrt (/ (* h0 (cos h1)) (exp h2)))) (cbrt (/ (* h0 (cos h1)) (exp h2))) (* (* (/ (* h0 (cos h1)) (exp h2)) (/ (* h0 (cos h1)) (exp h2))) (/ (* h0 (cos h1)) (exp h2))) (sqrt (/ (* h0 (cos h1)) (exp h2))) (sqrt (/ (* h0 (cos h1)) (exp h2))) (- (* h0 (cos h1))) (- (exp h2)) (/ h0 (* (cbrt (exp h2)) (cbrt (exp h2)))) (/ (cos h1) (cbrt (exp h2))) (/ h0 (sqrt (exp h2))) (/ (cos h1) (sqrt (exp h2))) (/ h0 1) (/ (cos h1) (exp h2)) (/ 1 (exp h2)) (/ (exp h2) (* h0 (cos h1))) (/ (* h0 (cos h1)) (* (cbrt (exp h2)) (cbrt (exp h2)))) (/ (* h0 (cos h1)) (sqrt (exp h2))) (/ (* h0 (cos h1)) 1) (/ (exp h2) (cos h1)) (* (exp (/ (* h0 (cos h1)) (exp h2))) (exp (* (* h0 (cos h1)) (exp h2)))) (log (+ (/ (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2)))) (exp (+ (/ (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2)))) (* (cbrt (+ (/ (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2)))) (cbrt (+ (/ (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2))))) (cbrt (+ (/ (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2)))) (* (* (+ (/ (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2))) (+ (/ (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2)))) (+ (/ (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2)))) (sqrt (+ (/ (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2)))) (sqrt (+ (/ (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2)))) (+ (pow (/ (* h0 (cos h1)) (exp h2)) 3) (pow (* (* h0 (cos h1)) (exp h2)) 3)) (+ (* (/ (* h0 (cos h1)) (exp h2)) (/ (* h0 (cos h1)) (exp h2))) (- (* (* (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2))) (* (/ (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2))))) (- (* (/ (* h0 (cos h1)) (exp h2)) (/ (* h0 (cos h1)) (exp h2))) (* (* (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2)))) (- (/ (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2))) (+ (/ 1 (exp h2)) (exp h2)) (* (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2)) (+ (+ (log h0) (log (cos h1))) h2) (+ (log (* h0 (cos h1))) h2) (log (* (* h0 (cos h1)) (exp h2))) (exp (* (* h0 (cos h1)) (exp h2))) (* (* (* (* h0 h0) h0) (* (* (cos h1) (cos h1)) (cos h1))) (* (* (exp h2) (exp h2)) (exp h2))) (* (* (* (* h0 (cos h1)) (* h0 (cos h1))) (* h0 (cos h1))) (* (* (exp h2) (exp h2)) (exp h2))) (* (cbrt (* (* h0 (cos h1)) (exp h2))) (cbrt (* (* h0 (cos h1)) (exp h2)))) (cbrt (* (* h0 (cos h1)) (exp h2))) (* (* (* (* h0 (cos h1)) (exp h2)) (* (* h0 (cos h1)) (exp h2))) (* (* h0 (cos h1)) (exp h2))) (sqrt (* (* h0 (cos h1)) (exp h2))) (sqrt (* (* h0 (cos h1)) (exp h2))) (* (* h0 (cos h1)) (* (cbrt (exp h2)) (cbrt (exp h2)))) (* (* h0 (cos h1)) (sqrt (exp h2))) (* (* h0 (cos h1)) 1) (* (cos h1) (exp h2)) (- h0 (+ (* h3 (pow h1 2)) (* h0 h2))) (* h0 (/ (cos h1) (exp h2))) (* h0 (/ (cos h1) (exp h2))) (- (+ (* h0 (pow h2 2)) h4) (* h0 (pow h1 2))) (+ (* h0 (* (exp h2) (cos h1))) (* h0 (/ (cos h1) (exp h2)))) (+ (* h0 (* (exp h2) (cos h1))) (* h0 (/ (cos h1) (exp h2)))) (- (+ (* h0 h2) h0) (* h3 (pow h1 2))) (* h0 (* (exp h2) (cos h1))) (* h0 (* (exp h2) (cos h1))) 0.700 * * [simplify]: iteration 0 : 284 enodes (cost 450 ) 0.706 * * [simplify]: iteration 1 : 1619 enodes (cost 391 ) 0.740 * * [simplify]: iteration 2 : 5001 enodes (cost 384 ) 0.742 * [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)) (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 (* (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)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (cos re) (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))) (* (cos re) (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 0.743 * * * [progress]: adding candidates to table 0.880 * * [progress]: iteration 3 / 4 0.880 * * * [progress]: picking best candidate 0.885 * * * * [pick]: Picked # 0.885 * * * [progress]: localizing error 0.896 * * * [progress]: generating rewritten candidates 0.896 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.913 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.936 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.006 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.039 * * * [progress]: generating series expansions 1.039 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.039 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (exp im))) (cos re))) in (re im) around 0 1.039 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (exp im))) (cos re))) in im 1.039 * [taylor]: Taking taylor expansion of 0.5 in im 1.039 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (exp im))) (cos re)) in im 1.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp im))) in im 1.039 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 1.039 * [taylor]: Taking taylor expansion of (exp im) in im 1.039 * [taylor]: Taking taylor expansion of im in im 1.042 * [taylor]: Taking taylor expansion of (cos re) in im 1.042 * [taylor]: Taking taylor expansion of re in im 1.042 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (exp im))) (cos re))) in re 1.042 * [taylor]: Taking taylor expansion of 0.5 in re 1.042 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (exp im))) (cos re)) in re 1.042 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp im))) in re 1.042 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in re 1.042 * [taylor]: Taking taylor expansion of (exp im) in re 1.042 * [taylor]: Taking taylor expansion of im in re 1.043 * [taylor]: Taking taylor expansion of (cos re) in re 1.043 * [taylor]: Taking taylor expansion of re in re 1.043 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (exp im))) (cos re))) in re 1.043 * [taylor]: Taking taylor expansion of 0.5 in re 1.043 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (exp im))) (cos re)) in re 1.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp im))) in re 1.043 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in re 1.043 * [taylor]: Taking taylor expansion of (exp im) in re 1.043 * [taylor]: Taking taylor expansion of im in re 1.044 * [taylor]: Taking taylor expansion of (cos re) in re 1.044 * [taylor]: Taking taylor expansion of re in re 1.044 * [taylor]: Taking taylor expansion of (* 0.5 (sqrt (/ 1 (exp im)))) in im 1.044 * [taylor]: Taking taylor expansion of 0.5 in im 1.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp im))) in im 1.044 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 1.044 * [taylor]: Taking taylor expansion of (exp im) in im 1.044 * [taylor]: Taking taylor expansion of im in im 1.047 * [taylor]: Taking taylor expansion of 0 in im 1.051 * [taylor]: Taking taylor expansion of (- (* 0.25 (sqrt (/ 1 (exp im))))) in im 1.051 * [taylor]: Taking taylor expansion of (* 0.25 (sqrt (/ 1 (exp im)))) in im 1.051 * [taylor]: Taking taylor expansion of 0.25 in im 1.051 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp im))) in im 1.051 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 1.051 * [taylor]: Taking taylor expansion of (exp im) in im 1.051 * [taylor]: Taking taylor expansion of im in im 1.054 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (/ 1 (exp (/ 1 im)))))) in (re im) around 0 1.054 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (/ 1 (exp (/ 1 im)))))) in im 1.054 * [taylor]: Taking taylor expansion of 0.5 in im 1.054 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (/ 1 (exp (/ 1 im))))) in im 1.054 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.054 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.054 * [taylor]: Taking taylor expansion of re in im 1.054 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ 1 im)))) in im 1.054 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 1.054 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.054 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.054 * [taylor]: Taking taylor expansion of im in im 1.055 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (/ 1 (exp (/ 1 im)))))) in re 1.055 * [taylor]: Taking taylor expansion of 0.5 in re 1.055 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (/ 1 (exp (/ 1 im))))) in re 1.055 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.055 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.055 * [taylor]: Taking taylor expansion of re in re 1.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ 1 im)))) in re 1.055 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in re 1.055 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.055 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.055 * [taylor]: Taking taylor expansion of im in re 1.056 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (/ 1 (exp (/ 1 im)))))) in re 1.056 * [taylor]: Taking taylor expansion of 0.5 in re 1.056 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (/ 1 (exp (/ 1 im))))) in re 1.056 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.056 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.056 * [taylor]: Taking taylor expansion of re in re 1.056 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ 1 im)))) in re 1.056 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in re 1.056 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.056 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.056 * [taylor]: Taking taylor expansion of im in re 1.058 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (/ 1 (exp (/ 1 im)))))) in im 1.058 * [taylor]: Taking taylor expansion of 0.5 in im 1.058 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (/ 1 (exp (/ 1 im))))) in im 1.058 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.058 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.058 * [taylor]: Taking taylor expansion of re in im 1.058 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ 1 im)))) in im 1.058 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 1.058 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.058 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.058 * [taylor]: Taking taylor expansion of im in im 1.060 * [taylor]: Taking taylor expansion of 0 in im 1.064 * [taylor]: Taking taylor expansion of 0 in im 1.070 * [taylor]: Taking taylor expansion of 0 in im 1.071 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (exp (/ -1 im)))) (cos (/ -1 re)))) in (re im) around 0 1.071 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (exp (/ -1 im)))) (cos (/ -1 re)))) in im 1.071 * [taylor]: Taking taylor expansion of 0.5 in im 1.071 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (exp (/ -1 im)))) (cos (/ -1 re))) in im 1.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ -1 im)))) in im 1.071 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in im 1.071 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.071 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.071 * [taylor]: Taking taylor expansion of -1 in im 1.071 * [taylor]: Taking taylor expansion of im in im 1.071 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.072 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.072 * [taylor]: Taking taylor expansion of -1 in im 1.072 * [taylor]: Taking taylor expansion of re in im 1.072 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (exp (/ -1 im)))) (cos (/ -1 re)))) in re 1.072 * [taylor]: Taking taylor expansion of 0.5 in re 1.072 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (exp (/ -1 im)))) (cos (/ -1 re))) in re 1.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ -1 im)))) in re 1.072 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in re 1.072 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.072 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.072 * [taylor]: Taking taylor expansion of -1 in re 1.072 * [taylor]: Taking taylor expansion of im in re 1.073 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.073 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.073 * [taylor]: Taking taylor expansion of -1 in re 1.073 * [taylor]: Taking taylor expansion of re in re 1.073 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (exp (/ -1 im)))) (cos (/ -1 re)))) in re 1.073 * [taylor]: Taking taylor expansion of 0.5 in re 1.073 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (exp (/ -1 im)))) (cos (/ -1 re))) in re 1.073 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ -1 im)))) in re 1.073 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in re 1.073 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.073 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.073 * [taylor]: Taking taylor expansion of -1 in re 1.073 * [taylor]: Taking taylor expansion of im in re 1.074 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.074 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.074 * [taylor]: Taking taylor expansion of -1 in re 1.074 * [taylor]: Taking taylor expansion of re in re 1.075 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (exp (/ -1 im)))) (cos (/ -1 re)))) in im 1.075 * [taylor]: Taking taylor expansion of 0.5 in im 1.075 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (exp (/ -1 im)))) (cos (/ -1 re))) in im 1.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (/ -1 im)))) in im 1.075 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in im 1.075 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.075 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.075 * [taylor]: Taking taylor expansion of -1 in im 1.075 * [taylor]: Taking taylor expansion of im in im 1.075 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.075 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.075 * [taylor]: Taking taylor expansion of -1 in im 1.075 * [taylor]: Taking taylor expansion of re in im 1.077 * [taylor]: Taking taylor expansion of 0 in im 1.081 * [taylor]: Taking taylor expansion of 0 in im 1.087 * [taylor]: Taking taylor expansion of 0 in im 1.088 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.088 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 1.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 1.088 * [taylor]: Taking taylor expansion of 0.5 in im 1.088 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 1.088 * [taylor]: Taking taylor expansion of (cos re) in im 1.088 * [taylor]: Taking taylor expansion of re in im 1.088 * [taylor]: Taking taylor expansion of (exp im) in im 1.088 * [taylor]: Taking taylor expansion of im in im 1.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 1.088 * [taylor]: Taking taylor expansion of 0.5 in re 1.088 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 1.088 * [taylor]: Taking taylor expansion of (cos re) in re 1.088 * [taylor]: Taking taylor expansion of re in re 1.089 * [taylor]: Taking taylor expansion of (exp im) in re 1.089 * [taylor]: Taking taylor expansion of im in re 1.089 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 1.089 * [taylor]: Taking taylor expansion of 0.5 in re 1.089 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 1.089 * [taylor]: Taking taylor expansion of (cos re) in re 1.089 * [taylor]: Taking taylor expansion of re in re 1.089 * [taylor]: Taking taylor expansion of (exp im) in re 1.089 * [taylor]: Taking taylor expansion of im in re 1.089 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 1.089 * [taylor]: Taking taylor expansion of 0.5 in im 1.089 * [taylor]: Taking taylor expansion of (exp im) in im 1.089 * [taylor]: Taking taylor expansion of im in im 1.090 * [taylor]: Taking taylor expansion of 0 in im 1.094 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 1.094 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 1.094 * [taylor]: Taking taylor expansion of 0.25 in im 1.094 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 1.094 * [taylor]: Taking taylor expansion of (exp im) in im 1.094 * [taylor]: Taking taylor expansion of im in im 1.096 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 1.096 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.096 * [taylor]: Taking taylor expansion of 0.5 in im 1.096 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.096 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.096 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.096 * [taylor]: Taking taylor expansion of re in im 1.096 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.096 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.096 * [taylor]: Taking taylor expansion of im in im 1.097 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.097 * [taylor]: Taking taylor expansion of 0.5 in re 1.097 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.097 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.097 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.097 * [taylor]: Taking taylor expansion of re in re 1.097 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.097 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.097 * [taylor]: Taking taylor expansion of im in re 1.098 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.098 * [taylor]: Taking taylor expansion of 0.5 in re 1.098 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.098 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.098 * [taylor]: Taking taylor expansion of re in re 1.098 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.098 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.098 * [taylor]: Taking taylor expansion of im in re 1.098 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.098 * [taylor]: Taking taylor expansion of 0.5 in im 1.098 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.098 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.098 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.098 * [taylor]: Taking taylor expansion of re in im 1.098 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.098 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.098 * [taylor]: Taking taylor expansion of im in im 1.100 * [taylor]: Taking taylor expansion of 0 in im 1.104 * [taylor]: Taking taylor expansion of 0 in im 1.109 * [taylor]: Taking taylor expansion of 0 in im 1.109 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 1.109 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 1.109 * [taylor]: Taking taylor expansion of 0.5 in im 1.109 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.109 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.109 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.109 * [taylor]: Taking taylor expansion of -1 in im 1.109 * [taylor]: Taking taylor expansion of re in im 1.109 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.109 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.109 * [taylor]: Taking taylor expansion of -1 in im 1.109 * [taylor]: Taking taylor expansion of im in im 1.110 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 1.110 * [taylor]: Taking taylor expansion of 0.5 in re 1.110 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.110 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.110 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.110 * [taylor]: Taking taylor expansion of -1 in re 1.110 * [taylor]: Taking taylor expansion of re in re 1.111 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.111 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.111 * [taylor]: Taking taylor expansion of -1 in re 1.111 * [taylor]: Taking taylor expansion of im in re 1.111 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 1.111 * [taylor]: Taking taylor expansion of 0.5 in re 1.111 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.111 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.111 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.111 * [taylor]: Taking taylor expansion of -1 in re 1.111 * [taylor]: Taking taylor expansion of re in re 1.111 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.111 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.111 * [taylor]: Taking taylor expansion of -1 in re 1.111 * [taylor]: Taking taylor expansion of im in re 1.111 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 1.111 * [taylor]: Taking taylor expansion of 0.5 in im 1.111 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.112 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.112 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.112 * [taylor]: Taking taylor expansion of -1 in im 1.112 * [taylor]: Taking taylor expansion of re in im 1.112 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.112 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.112 * [taylor]: Taking taylor expansion of -1 in im 1.112 * [taylor]: Taking taylor expansion of im in im 1.114 * [taylor]: Taking taylor expansion of 0 in im 1.117 * [taylor]: Taking taylor expansion of 0 in im 1.127 * [taylor]: Taking taylor expansion of 0 in im 1.128 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.128 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 1.128 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 1.128 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 1.128 * [taylor]: Taking taylor expansion of 0.5 in im 1.128 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 1.128 * [taylor]: Taking taylor expansion of (exp im) in im 1.128 * [taylor]: Taking taylor expansion of im in im 1.128 * [taylor]: Taking taylor expansion of (cos re) in im 1.128 * [taylor]: Taking taylor expansion of re in im 1.128 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 1.128 * [taylor]: Taking taylor expansion of 0.5 in im 1.128 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 1.128 * [taylor]: Taking taylor expansion of (cos re) in im 1.128 * [taylor]: Taking taylor expansion of re in im 1.128 * [taylor]: Taking taylor expansion of (exp im) in im 1.128 * [taylor]: Taking taylor expansion of im in im 1.129 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 1.129 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 1.129 * [taylor]: Taking taylor expansion of 0.5 in re 1.129 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 1.129 * [taylor]: Taking taylor expansion of (exp im) in re 1.129 * [taylor]: Taking taylor expansion of im in re 1.129 * [taylor]: Taking taylor expansion of (cos re) in re 1.129 * [taylor]: Taking taylor expansion of re in re 1.129 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 1.129 * [taylor]: Taking taylor expansion of 0.5 in re 1.129 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 1.129 * [taylor]: Taking taylor expansion of (cos re) in re 1.129 * [taylor]: Taking taylor expansion of re in re 1.129 * [taylor]: Taking taylor expansion of (exp im) in re 1.129 * [taylor]: Taking taylor expansion of im in re 1.129 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 1.129 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 1.129 * [taylor]: Taking taylor expansion of 0.5 in re 1.129 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 1.129 * [taylor]: Taking taylor expansion of (exp im) in re 1.129 * [taylor]: Taking taylor expansion of im in re 1.129 * [taylor]: Taking taylor expansion of (cos re) in re 1.129 * [taylor]: Taking taylor expansion of re in re 1.129 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 1.129 * [taylor]: Taking taylor expansion of 0.5 in re 1.129 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 1.129 * [taylor]: Taking taylor expansion of (cos re) in re 1.129 * [taylor]: Taking taylor expansion of re in re 1.129 * [taylor]: Taking taylor expansion of (exp im) in re 1.129 * [taylor]: Taking taylor expansion of im in re 1.129 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 1.129 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 1.129 * [taylor]: Taking taylor expansion of 0.5 in im 1.130 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 1.130 * [taylor]: Taking taylor expansion of (exp im) in im 1.130 * [taylor]: Taking taylor expansion of im in im 1.130 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 1.130 * [taylor]: Taking taylor expansion of 0.5 in im 1.130 * [taylor]: Taking taylor expansion of (exp im) in im 1.130 * [taylor]: Taking taylor expansion of im in im 1.133 * [taylor]: Taking taylor expansion of 0 in im 1.140 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 1.140 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 1.140 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 1.140 * [taylor]: Taking taylor expansion of 0.25 in im 1.140 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 1.140 * [taylor]: Taking taylor expansion of (exp im) in im 1.140 * [taylor]: Taking taylor expansion of im in im 1.140 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.141 * [taylor]: Taking taylor expansion of 0.25 in im 1.141 * [taylor]: Taking taylor expansion of (exp im) in im 1.141 * [taylor]: Taking taylor expansion of im in im 1.147 * [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 1.147 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 1.147 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.147 * [taylor]: Taking taylor expansion of 0.5 in im 1.147 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 1.147 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.147 * [taylor]: Taking taylor expansion of re in im 1.148 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.148 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.148 * [taylor]: Taking taylor expansion of im in im 1.148 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.148 * [taylor]: Taking taylor expansion of 0.5 in im 1.148 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.148 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.148 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.148 * [taylor]: Taking taylor expansion of re in im 1.148 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.148 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.148 * [taylor]: Taking taylor expansion of im in im 1.149 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 1.149 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.149 * [taylor]: Taking taylor expansion of 0.5 in re 1.149 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 1.149 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.149 * [taylor]: Taking taylor expansion of re in re 1.149 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.149 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.149 * [taylor]: Taking taylor expansion of im in re 1.149 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.150 * [taylor]: Taking taylor expansion of 0.5 in re 1.150 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.150 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.150 * [taylor]: Taking taylor expansion of re in re 1.150 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.150 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.150 * [taylor]: Taking taylor expansion of im in re 1.150 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 1.150 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.150 * [taylor]: Taking taylor expansion of 0.5 in re 1.150 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 1.150 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.150 * [taylor]: Taking taylor expansion of re in re 1.150 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.150 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.150 * [taylor]: Taking taylor expansion of im in re 1.151 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.151 * [taylor]: Taking taylor expansion of 0.5 in re 1.151 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.151 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.151 * [taylor]: Taking taylor expansion of re in re 1.151 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.151 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.151 * [taylor]: Taking taylor expansion of im in re 1.152 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 1.152 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.152 * [taylor]: Taking taylor expansion of 0.5 in im 1.152 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 1.152 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.152 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.152 * [taylor]: Taking taylor expansion of re in im 1.152 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.152 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.152 * [taylor]: Taking taylor expansion of im in im 1.152 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.152 * [taylor]: Taking taylor expansion of 0.5 in im 1.152 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.152 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.152 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.152 * [taylor]: Taking taylor expansion of re in im 1.152 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.152 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.152 * [taylor]: Taking taylor expansion of im in im 1.156 * [taylor]: Taking taylor expansion of 0 in im 1.164 * [taylor]: Taking taylor expansion of 0 in im 1.174 * [taylor]: Taking taylor expansion of 0 in im 1.174 * [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 1.174 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 1.174 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 1.174 * [taylor]: Taking taylor expansion of 0.5 in im 1.174 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.174 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.174 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.174 * [taylor]: Taking taylor expansion of -1 in im 1.174 * [taylor]: Taking taylor expansion of re in im 1.175 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.175 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.175 * [taylor]: Taking taylor expansion of -1 in im 1.175 * [taylor]: Taking taylor expansion of im in im 1.175 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 1.175 * [taylor]: Taking taylor expansion of 0.5 in im 1.175 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 1.175 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.175 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.175 * [taylor]: Taking taylor expansion of -1 in im 1.175 * [taylor]: Taking taylor expansion of im in im 1.176 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.176 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.176 * [taylor]: Taking taylor expansion of -1 in im 1.176 * [taylor]: Taking taylor expansion of re in im 1.176 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 1.176 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 1.176 * [taylor]: Taking taylor expansion of 0.5 in re 1.176 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.176 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.176 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.176 * [taylor]: Taking taylor expansion of -1 in re 1.176 * [taylor]: Taking taylor expansion of re in re 1.176 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.176 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.176 * [taylor]: Taking taylor expansion of -1 in re 1.176 * [taylor]: Taking taylor expansion of im in re 1.176 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 1.177 * [taylor]: Taking taylor expansion of 0.5 in re 1.177 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 1.177 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.177 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.177 * [taylor]: Taking taylor expansion of -1 in re 1.177 * [taylor]: Taking taylor expansion of im in re 1.177 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.177 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.177 * [taylor]: Taking taylor expansion of -1 in re 1.177 * [taylor]: Taking taylor expansion of re in re 1.177 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 1.177 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 1.177 * [taylor]: Taking taylor expansion of 0.5 in re 1.177 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.177 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.177 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.177 * [taylor]: Taking taylor expansion of -1 in re 1.177 * [taylor]: Taking taylor expansion of re in re 1.177 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.177 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.177 * [taylor]: Taking taylor expansion of -1 in re 1.178 * [taylor]: Taking taylor expansion of im in re 1.178 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 1.178 * [taylor]: Taking taylor expansion of 0.5 in re 1.178 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 1.178 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.178 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.178 * [taylor]: Taking taylor expansion of -1 in re 1.178 * [taylor]: Taking taylor expansion of im in re 1.178 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.178 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.178 * [taylor]: Taking taylor expansion of -1 in re 1.178 * [taylor]: Taking taylor expansion of re in re 1.179 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 1.179 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 1.179 * [taylor]: Taking taylor expansion of 0.5 in im 1.179 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.179 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.179 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.179 * [taylor]: Taking taylor expansion of -1 in im 1.179 * [taylor]: Taking taylor expansion of re in im 1.179 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.179 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.179 * [taylor]: Taking taylor expansion of -1 in im 1.179 * [taylor]: Taking taylor expansion of im in im 1.180 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 1.180 * [taylor]: Taking taylor expansion of 0.5 in im 1.180 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 1.180 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.180 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.180 * [taylor]: Taking taylor expansion of -1 in im 1.180 * [taylor]: Taking taylor expansion of im in im 1.180 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.180 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.180 * [taylor]: Taking taylor expansion of -1 in im 1.180 * [taylor]: Taking taylor expansion of re in im 1.183 * [taylor]: Taking taylor expansion of 0 in im 1.191 * [taylor]: Taking taylor expansion of 0 in im 1.202 * [taylor]: Taking taylor expansion of 0 in im 1.202 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.202 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 1.202 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 1.202 * [taylor]: Taking taylor expansion of 0.5 in im 1.202 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 1.202 * [taylor]: Taking taylor expansion of (exp im) in im 1.202 * [taylor]: Taking taylor expansion of im in im 1.202 * [taylor]: Taking taylor expansion of (cos re) in im 1.202 * [taylor]: Taking taylor expansion of re in im 1.202 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 1.202 * [taylor]: Taking taylor expansion of 0.5 in re 1.202 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 1.202 * [taylor]: Taking taylor expansion of (exp im) in re 1.202 * [taylor]: Taking taylor expansion of im in re 1.202 * [taylor]: Taking taylor expansion of (cos re) in re 1.202 * [taylor]: Taking taylor expansion of re in re 1.202 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 1.202 * [taylor]: Taking taylor expansion of 0.5 in re 1.202 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 1.202 * [taylor]: Taking taylor expansion of (exp im) in re 1.202 * [taylor]: Taking taylor expansion of im in re 1.202 * [taylor]: Taking taylor expansion of (cos re) in re 1.202 * [taylor]: Taking taylor expansion of re in re 1.203 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 1.203 * [taylor]: Taking taylor expansion of 0.5 in im 1.203 * [taylor]: Taking taylor expansion of (exp im) in im 1.203 * [taylor]: Taking taylor expansion of im in im 1.204 * [taylor]: Taking taylor expansion of 0 in im 1.207 * [taylor]: Taking taylor expansion of (- (* 0.25 (exp im))) in im 1.207 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.207 * [taylor]: Taking taylor expansion of 0.25 in im 1.207 * [taylor]: Taking taylor expansion of (exp im) in im 1.207 * [taylor]: Taking taylor expansion of im in im 1.209 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 1.209 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.209 * [taylor]: Taking taylor expansion of 0.5 in im 1.209 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 1.209 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.209 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.209 * [taylor]: Taking taylor expansion of re in im 1.209 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.209 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.209 * [taylor]: Taking taylor expansion of im in im 1.209 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.209 * [taylor]: Taking taylor expansion of 0.5 in re 1.209 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 1.209 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.209 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.209 * [taylor]: Taking taylor expansion of re in re 1.209 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.209 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.210 * [taylor]: Taking taylor expansion of im in re 1.210 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.210 * [taylor]: Taking taylor expansion of 0.5 in re 1.210 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 1.210 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.210 * [taylor]: Taking taylor expansion of re in re 1.210 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.210 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.210 * [taylor]: Taking taylor expansion of im in re 1.210 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.210 * [taylor]: Taking taylor expansion of 0.5 in im 1.210 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 1.210 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.210 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.210 * [taylor]: Taking taylor expansion of re in im 1.210 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.210 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.210 * [taylor]: Taking taylor expansion of im in im 1.212 * [taylor]: Taking taylor expansion of 0 in im 1.221 * [taylor]: Taking taylor expansion of 0 in im 1.226 * [taylor]: Taking taylor expansion of 0 in im 1.227 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 1.227 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 1.227 * [taylor]: Taking taylor expansion of 0.5 in im 1.227 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 1.227 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.227 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.227 * [taylor]: Taking taylor expansion of -1 in im 1.227 * [taylor]: Taking taylor expansion of im in im 1.227 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.227 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.227 * [taylor]: Taking taylor expansion of -1 in im 1.227 * [taylor]: Taking taylor expansion of re in im 1.227 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 1.227 * [taylor]: Taking taylor expansion of 0.5 in re 1.227 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 1.227 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.227 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.227 * [taylor]: Taking taylor expansion of -1 in re 1.227 * [taylor]: Taking taylor expansion of im in re 1.227 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.227 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.227 * [taylor]: Taking taylor expansion of -1 in re 1.227 * [taylor]: Taking taylor expansion of re in re 1.228 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 1.228 * [taylor]: Taking taylor expansion of 0.5 in re 1.228 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 1.228 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.228 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.228 * [taylor]: Taking taylor expansion of -1 in re 1.228 * [taylor]: Taking taylor expansion of im in re 1.228 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.228 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.228 * [taylor]: Taking taylor expansion of -1 in re 1.228 * [taylor]: Taking taylor expansion of re in re 1.228 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 1.228 * [taylor]: Taking taylor expansion of 0.5 in im 1.228 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 1.228 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.228 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.229 * [taylor]: Taking taylor expansion of -1 in im 1.229 * [taylor]: Taking taylor expansion of im in im 1.229 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.229 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.229 * [taylor]: Taking taylor expansion of -1 in im 1.229 * [taylor]: Taking taylor expansion of re in im 1.230 * [taylor]: Taking taylor expansion of 0 in im 1.234 * [taylor]: Taking taylor expansion of 0 in im 1.239 * [taylor]: Taking taylor expansion of 0 in im 1.239 * * * [progress]: simplifying candidates 1.242 * [simplify]: Simplifying using # : (- (+ (log 0.5) (log (cos re))) (log (sqrt (exp im)))) (- (log (* 0.5 (cos re))) (log (sqrt (exp im)))) (log (/ (* 0.5 (cos re)) (sqrt (exp im)))) (exp (/ (* 0.5 (cos re)) (sqrt (exp im)))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (* (* (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) (sqrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (- (* 0.5 (cos re))) (- (sqrt (exp im))) (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (cos re) (cbrt (sqrt (exp im)))) (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (cos re) (sqrt (cbrt (exp im)))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (cos re) (sqrt (sqrt (exp im)))) (/ 0.5 (sqrt 1)) (/ (cos re) (sqrt (exp im))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (cos re) (sqrt (sqrt (exp im)))) (/ 0.5 1) (/ (cos re) (sqrt (exp im))) (/ 1 (sqrt (exp im))) (/ (sqrt (exp im)) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (* 0.5 (cos re)) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt 1)) (/ (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (/ (* 0.5 (cos re)) 1) (/ (sqrt (exp im)) (cos re)) (- (- (+ (log 0.5) (log (cos re))) (log (sqrt (exp im)))) (log (sqrt (exp im)))) (- (- (log (* 0.5 (cos re))) (log (sqrt (exp im)))) (log (sqrt (exp im)))) (- (log (/ (* 0.5 (cos re)) (sqrt (exp im)))) (log (sqrt (exp im)))) (log (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (exp (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (/ (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (/ (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (/ (* (* (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) (sqrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (cbrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (cbrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (cbrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (sqrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (sqrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (- (/ (* 0.5 (cos re)) (sqrt (exp im)))) (- (sqrt (exp im))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (sqrt 1)) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) 1) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt 1)) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) 1) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (sqrt 1)) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) 1) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (sqrt 1)) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) 1) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt 1)) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) 1) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt 1)) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (exp im))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt 1)) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (sqrt 1)) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt 1)) (sqrt 1)) (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) (/ (/ 0.5 (sqrt 1)) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt 1)) 1) (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt 1)) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) 1) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 1) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (exp im))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 1) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 1) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 1) (sqrt 1)) (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) (/ (/ 0.5 1) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 1) 1) (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) (/ 1 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (cbrt (sqrt (exp im)))) (/ 1 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ 1 (sqrt (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ 1 (sqrt 1)) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (/ 1 (sqrt (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ 1 1) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (/ (* 0.5 (cos re)) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ 1 (sqrt (exp im))) (cbrt (sqrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ 1 (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt 1)) (/ (/ 1 (sqrt (exp im))) (sqrt (exp im))) (/ (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (* 0.5 (cos re)) 1) (/ (/ 1 (sqrt (exp im))) (sqrt (exp im))) (/ 1 (sqrt (exp im))) (/ (sqrt (exp im)) (/ (* 0.5 (cos re)) (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt 1)) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) 1) (/ (sqrt (exp im)) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (/ (sqrt (exp im)) (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (cbrt (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (cbrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (exp im)))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (exp im)))) (/ (sqrt (exp im)) (/ (* 0.5 (cos re)) (sqrt (exp im)))) (/ (sqrt (exp im)) (/ 1 (sqrt (exp im)))) (* (sqrt (exp im)) (sqrt (exp im))) (* (exp (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (exp (* (* 0.5 (cos re)) (exp im)))) (log (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im)))) (exp (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im)))) (* (cbrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im)))) (* (* (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im))) (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im)))) (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (+ (* (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (- (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im))))) (- (* (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (- (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im))) (* (* 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)) (* 0.25 im))) (* 0.5 (* (sqrt (/ 1 (exp im))) (cos re))) (* 0.5 (* (sqrt (/ 1 (exp im))) (cos re))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 1.242 * [simplify]: Sending expressions to egg_math: (- (+ (log h0) (log (cos h1))) (log (sqrt (exp h2)))) (- (log (* h0 (cos h1))) (log (sqrt (exp h2)))) (log (/ (* h0 (cos h1)) (sqrt (exp h2)))) (exp (/ 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im)))) (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (fabs (cbrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (* (/ 0.5 (cbrt (sqrt (exp im)))) (/ 1 (pow (cbrt (sqrt (exp im))) 3))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ 0.5 (* (fabs (cbrt (exp im))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im)))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (/ 0.5 (* (fabs (cbrt (exp im))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im)))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (cbrt (exp im)))) (/ 0.5 (* (sqrt (sqrt (exp im))) (fabs (cbrt (exp im))))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (sqrt (exp im)))) (/ 0.5 (* 1 (fabs (cbrt (exp im))))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (exp im))) (/ 0.5 (* (sqrt (sqrt (exp im))) (fabs (cbrt (exp im))))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (sqrt (exp im)))) (/ 0.5 (* 1 (fabs (cbrt (exp im))))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ 0.5 (* (sqrt (sqrt (exp im))) (fabs (cbrt (exp im))))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (sqrt (exp im)))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (/ 0.5 (* 1 (fabs (cbrt (exp im))))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (exp im))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ 0.5 (* (sqrt (sqrt (exp im))) (fabs (cbrt (exp im))))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (sqrt (exp im)))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (/ 0.5 (* 1 (fabs (cbrt (exp im))))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (exp im))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 1 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (cbrt (sqrt (exp im)))) (/ 2 (* (fabs (cbrt (exp im))) 2)) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ 1 (sqrt (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) 1 (* 0.5 (/ (cos re) (exp im))) (/ 1 (sqrt (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) 1 (* 0.5 (/ (cos re) (exp im))) (/ (* 0.5 (cos re)) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ 1 (sqrt (exp im))) (cbrt (sqrt (exp im)))) (/ 0.5 (/ (fabs (cbrt (exp im))) (cos re))) (/ (/ 1 (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im)))) (* 0.5 (cos re)) (/ 1 (exp im)) (/ (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im)))) (* 0.5 (cos re)) (/ 1 (exp im)) (/ 1 (sqrt (exp im))) (/ (exp im) (* 0.5 (cos re))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (* 0.5 (cos re)) (* (fabs (cbrt (exp im))) (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (sqrt (exp im)) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (/ (sqrt (exp im)) (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (cbrt (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (cbrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (sqrt (exp im))))) (/ (exp im) (cos re)) (/ (sqrt (exp im)) (/ (cos re) (sqrt (sqrt (exp im))))) (/ (exp im) (cos re)) (/ (exp im) (* 0.5 (cos re))) (exp im) (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)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (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)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (- (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (exp (+ im im))) (- (* (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (* (* 0.5 0.5) (* (/ (cos re) (exp im)) (/ (cos re) (exp im)))))) (* 0.5 (* (+ (* (exp im) (cos re)) (/ (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 (* (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)) (- 0.5 (* 0.25 (+ (pow re 2) im))) (* 0.5 (* (sqrt (/ 1 (exp im))) (cos re))) (* 0.5 (* (sqrt (/ 1 (exp im))) (cos re))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) (* 0.5 (+ (* (exp im) (cos re)) (/ (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))) 1.319 * * * [progress]: adding candidates to table 1.654 * * [progress]: iteration 4 / 4 1.654 * * * [progress]: picking best candidate 1.657 * * * * [pick]: Picked # 1.657 * * * [progress]: localizing error 1.673 * * * [progress]: generating rewritten candidates 1.673 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.720 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.727 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.747 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.763 * * * [progress]: generating series expansions 1.763 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.763 * [approximate]: Taking taylor expansion of (exp (+ im (log (* 0.5 (cos re))))) in (im re) around 0 1.763 * [taylor]: Taking taylor expansion of (exp (+ im (log (* 0.5 (cos re))))) in re 1.763 * [taylor]: Taking taylor expansion of (+ im (log (* 0.5 (cos re)))) in re 1.763 * [taylor]: Taking taylor expansion of im in re 1.763 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos re))) in re 1.763 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 1.763 * [taylor]: Taking taylor expansion of 0.5 in re 1.763 * [taylor]: Taking taylor expansion of (cos re) in re 1.763 * [taylor]: Taking taylor expansion of re in re 1.764 * [taylor]: Taking taylor expansion of (exp (+ im (log (* 0.5 (cos re))))) in im 1.764 * [taylor]: Taking taylor expansion of (+ im (log (* 0.5 (cos re)))) in im 1.764 * [taylor]: Taking taylor expansion of im in im 1.764 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos re))) in im 1.764 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in im 1.764 * [taylor]: Taking taylor expansion of 0.5 in im 1.764 * [taylor]: Taking taylor expansion of (cos re) in im 1.764 * [taylor]: Taking taylor expansion of re in im 1.765 * [taylor]: Taking taylor expansion of (exp (+ im (log (* 0.5 (cos re))))) in im 1.765 * [taylor]: Taking taylor expansion of (+ im (log (* 0.5 (cos re)))) in im 1.765 * [taylor]: Taking taylor expansion of im in im 1.765 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos re))) in im 1.765 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in im 1.765 * [taylor]: Taking taylor expansion of 0.5 in im 1.765 * [taylor]: Taking taylor expansion of (cos re) in im 1.765 * [taylor]: Taking taylor expansion of re in im 1.766 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 1.766 * [taylor]: Taking taylor expansion of 0.5 in re 1.766 * [taylor]: Taking taylor expansion of (cos re) in re 1.766 * [taylor]: Taking taylor expansion of re in re 1.769 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 1.769 * [taylor]: Taking taylor expansion of 0.5 in re 1.769 * [taylor]: Taking taylor expansion of (cos re) in re 1.769 * [taylor]: Taking taylor expansion of re in re 1.775 * [taylor]: Taking taylor expansion of (* 0.25 (cos re)) in re 1.775 * [taylor]: Taking taylor expansion of 0.25 in re 1.775 * [taylor]: Taking taylor expansion of (cos re) in re 1.775 * [taylor]: Taking taylor expansion of re in re 1.776 * [approximate]: Taking taylor expansion of (exp (+ (/ 1 im) (log (* 0.5 (cos (/ 1 re)))))) in (im re) around 0 1.776 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 im) (log (* 0.5 (cos (/ 1 re)))))) in re 1.776 * [taylor]: Taking taylor expansion of (+ (/ 1 im) (log (* 0.5 (cos (/ 1 re))))) in re 1.776 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.776 * [taylor]: Taking taylor expansion of im in re 1.776 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ 1 re)))) in re 1.776 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re 1.776 * [taylor]: Taking taylor expansion of 0.5 in re 1.776 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.776 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.776 * [taylor]: Taking taylor expansion of re in re 1.776 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 im) (log (* 0.5 (cos (/ 1 re)))))) in im 1.776 * [taylor]: Taking taylor expansion of (+ (/ 1 im) (log (* 0.5 (cos (/ 1 re))))) in im 1.776 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.776 * [taylor]: Taking taylor expansion of im in im 1.777 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ 1 re)))) in im 1.777 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im 1.777 * [taylor]: Taking taylor expansion of 0.5 in im 1.777 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.777 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.777 * [taylor]: Taking taylor expansion of re in im 1.778 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 im) (log (* 0.5 (cos (/ 1 re)))))) in im 1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 im) (log (* 0.5 (cos (/ 1 re))))) in im 1.778 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.778 * [taylor]: Taking taylor expansion of im in im 1.778 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ 1 re)))) in im 1.778 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im 1.778 * [taylor]: Taking taylor expansion of 0.5 in im 1.778 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.778 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.778 * [taylor]: Taking taylor expansion of re in im 1.779 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 im) (log (* 0.5 (cos (/ 1 re)))))) in re 1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 im) (log (* 0.5 (cos (/ 1 re))))) in re 1.779 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.779 * [taylor]: Taking taylor expansion of im in re 1.779 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ 1 re)))) in re 1.779 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re 1.779 * [taylor]: Taking taylor expansion of 0.5 in re 1.779 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.779 * [taylor]: Taking taylor expansion of re in re 1.780 * [taylor]: Taking taylor expansion of 0 in re 1.781 * [taylor]: Taking taylor expansion of 0 in re 1.784 * [taylor]: Taking taylor expansion of 0 in re 1.784 * [approximate]: Taking taylor expansion of (exp (- (log (* 0.5 (cos (/ -1 re)))) (/ 1 im))) in (im re) around 0 1.784 * [taylor]: Taking taylor expansion of (exp (- (log (* 0.5 (cos (/ -1 re)))) (/ 1 im))) in re 1.784 * [taylor]: Taking taylor expansion of (- (log (* 0.5 (cos (/ -1 re)))) (/ 1 im)) in re 1.785 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ -1 re)))) in re 1.785 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 re))) in re 1.785 * [taylor]: Taking taylor expansion of 0.5 in re 1.785 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.785 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.785 * [taylor]: Taking taylor expansion of -1 in re 1.785 * [taylor]: Taking taylor expansion of re in re 1.785 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.785 * [taylor]: Taking taylor expansion of im in re 1.785 * [taylor]: Taking taylor expansion of (exp (- (log (* 0.5 (cos (/ -1 re)))) (/ 1 im))) in im 1.785 * [taylor]: Taking taylor expansion of (- (log (* 0.5 (cos (/ -1 re)))) (/ 1 im)) in im 1.785 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ -1 re)))) in im 1.785 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 re))) in im 1.785 * [taylor]: Taking taylor expansion of 0.5 in im 1.785 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.785 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.785 * [taylor]: Taking taylor expansion of -1 in im 1.785 * [taylor]: Taking taylor expansion of re in im 1.786 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.786 * [taylor]: Taking taylor expansion of im in im 1.787 * [taylor]: Taking taylor expansion of (exp (- (log (* 0.5 (cos (/ -1 re)))) (/ 1 im))) in im 1.787 * [taylor]: Taking taylor expansion of (- (log (* 0.5 (cos (/ -1 re)))) (/ 1 im)) in im 1.787 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ -1 re)))) in im 1.787 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 re))) in im 1.787 * [taylor]: Taking taylor expansion of 0.5 in im 1.787 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.787 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.787 * [taylor]: Taking taylor expansion of -1 in im 1.787 * [taylor]: Taking taylor expansion of re in im 1.787 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.787 * [taylor]: Taking taylor expansion of im in im 1.788 * [taylor]: Taking taylor expansion of (exp (- (log (* 0.5 (cos (/ -1 re)))) (/ 1 im))) in re 1.788 * [taylor]: Taking taylor expansion of (- (log (* 0.5 (cos (/ -1 re)))) (/ 1 im)) in re 1.788 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ -1 re)))) in re 1.788 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 re))) in re 1.788 * [taylor]: Taking taylor expansion of 0.5 in re 1.788 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.788 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.788 * [taylor]: Taking taylor expansion of -1 in re 1.788 * [taylor]: Taking taylor expansion of re in re 1.789 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.789 * [taylor]: Taking taylor expansion of im in re 1.789 * [taylor]: Taking taylor expansion of 0 in re 1.791 * [taylor]: Taking taylor expansion of 0 in re 1.794 * [taylor]: Taking taylor expansion of 0 in re 1.794 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.794 * [approximate]: Taking taylor expansion of (log (* 0.5 (cos re))) in (re) around 0 1.794 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos re))) in re 1.794 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 1.794 * [taylor]: Taking taylor expansion of 0.5 in re 1.794 * [taylor]: Taking taylor expansion of (cos re) in re 1.794 * [taylor]: Taking taylor expansion of re in re 1.795 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos re))) in re 1.795 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 1.795 * [taylor]: Taking taylor expansion of 0.5 in re 1.795 * [taylor]: Taking taylor expansion of (cos re) in re 1.795 * [taylor]: Taking taylor expansion of re in re 1.841 * [approximate]: Taking taylor expansion of (log (* 0.5 (cos (/ 1 re)))) in (re) around 0 1.841 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ 1 re)))) in re 1.841 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re 1.841 * [taylor]: Taking taylor expansion of 0.5 in re 1.841 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.841 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.841 * [taylor]: Taking taylor expansion of re in re 1.841 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ 1 re)))) in re 1.841 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re 1.841 * [taylor]: Taking taylor expansion of 0.5 in re 1.841 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.841 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.841 * [taylor]: Taking taylor expansion of re in re 1.864 * [approximate]: Taking taylor expansion of (log (* 0.5 (cos (/ -1 re)))) in (re) around 0 1.864 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ -1 re)))) in re 1.864 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 re))) in re 1.864 * [taylor]: Taking taylor expansion of 0.5 in re 1.864 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.864 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.864 * [taylor]: Taking taylor expansion of -1 in re 1.864 * [taylor]: Taking taylor expansion of re in re 1.865 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ -1 re)))) in re 1.865 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 re))) in re 1.865 * [taylor]: Taking taylor expansion of 0.5 in re 1.865 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.865 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.865 * [taylor]: Taking taylor expansion of -1 in re 1.865 * [taylor]: Taking taylor expansion of re in re 1.888 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.888 * [approximate]: Taking taylor expansion of (+ im (log (* 0.5 (cos re)))) in (im re) around 0 1.888 * [taylor]: Taking taylor expansion of (+ im (log (* 0.5 (cos re)))) in re 1.888 * [taylor]: Taking taylor expansion of im in re 1.888 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos re))) in re 1.888 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 1.888 * [taylor]: Taking taylor expansion of 0.5 in re 1.888 * [taylor]: Taking taylor expansion of (cos re) in re 1.888 * [taylor]: Taking taylor expansion of re in re 1.889 * [taylor]: Taking taylor expansion of (+ im (log (* 0.5 (cos re)))) in im 1.889 * [taylor]: Taking taylor expansion of im in im 1.889 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos re))) in im 1.889 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in im 1.889 * [taylor]: Taking taylor expansion of 0.5 in im 1.889 * [taylor]: Taking taylor expansion of (cos re) in im 1.889 * [taylor]: Taking taylor expansion of re in im 1.889 * [taylor]: Taking taylor expansion of (+ im (log (* 0.5 (cos re)))) in im 1.889 * [taylor]: Taking taylor expansion of im in im 1.889 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos re))) in im 1.889 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in im 1.889 * [taylor]: Taking taylor expansion of 0.5 in im 1.889 * [taylor]: Taking taylor expansion of (cos re) in im 1.889 * [taylor]: Taking taylor expansion of re in im 1.890 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos re))) in re 1.890 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 1.890 * [taylor]: Taking taylor expansion of 0.5 in re 1.890 * [taylor]: Taking taylor expansion of (cos re) in re 1.890 * [taylor]: Taking taylor expansion of re in re 1.899 * [taylor]: Taking taylor expansion of 1 in re 1.904 * [taylor]: Taking taylor expansion of 0 in re 1.913 * [approximate]: Taking taylor expansion of (+ (/ 1 im) (log (* 0.5 (cos (/ 1 re))))) in (im re) around 0 1.913 * [taylor]: Taking taylor expansion of (+ (/ 1 im) (log (* 0.5 (cos (/ 1 re))))) in re 1.913 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.913 * [taylor]: Taking taylor expansion of im in re 1.913 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ 1 re)))) in re 1.914 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re 1.914 * [taylor]: Taking taylor expansion of 0.5 in re 1.914 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.914 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.914 * [taylor]: Taking taylor expansion of re in re 1.914 * [taylor]: Taking taylor expansion of (+ (/ 1 im) (log (* 0.5 (cos (/ 1 re))))) in im 1.914 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.914 * [taylor]: Taking taylor expansion of im in im 1.914 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ 1 re)))) in im 1.914 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im 1.914 * [taylor]: Taking taylor expansion of 0.5 in im 1.914 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.914 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.914 * [taylor]: Taking taylor expansion of re in im 1.915 * [taylor]: Taking taylor expansion of (+ (/ 1 im) (log (* 0.5 (cos (/ 1 re))))) in im 1.915 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.915 * [taylor]: Taking taylor expansion of im in im 1.915 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ 1 re)))) in im 1.915 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in im 1.915 * [taylor]: Taking taylor expansion of 0.5 in im 1.915 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.915 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.915 * [taylor]: Taking taylor expansion of re in im 1.916 * [taylor]: Taking taylor expansion of 1 in re 1.916 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ 1 re)))) in re 1.917 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 re))) in re 1.917 * [taylor]: Taking taylor expansion of 0.5 in re 1.917 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.917 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.917 * [taylor]: Taking taylor expansion of re in re 1.920 * [taylor]: Taking taylor expansion of 0 in re 1.925 * [taylor]: Taking taylor expansion of 0 in re 1.925 * [approximate]: Taking taylor expansion of (- (log (* 0.5 (cos (/ -1 re)))) (/ 1 im)) in (im re) around 0 1.925 * [taylor]: Taking taylor expansion of (- (log (* 0.5 (cos (/ -1 re)))) (/ 1 im)) in re 1.925 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ -1 re)))) in re 1.925 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 re))) in re 1.925 * [taylor]: Taking taylor expansion of 0.5 in re 1.925 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.925 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.925 * [taylor]: Taking taylor expansion of -1 in re 1.925 * [taylor]: Taking taylor expansion of re in re 1.926 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.926 * [taylor]: Taking taylor expansion of im in re 1.926 * [taylor]: Taking taylor expansion of (- (log (* 0.5 (cos (/ -1 re)))) (/ 1 im)) in im 1.926 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ -1 re)))) in im 1.926 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 re))) in im 1.926 * [taylor]: Taking taylor expansion of 0.5 in im 1.926 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.926 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.926 * [taylor]: Taking taylor expansion of -1 in im 1.926 * [taylor]: Taking taylor expansion of re in im 1.927 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.927 * [taylor]: Taking taylor expansion of im in im 1.927 * [taylor]: Taking taylor expansion of (- (log (* 0.5 (cos (/ -1 re)))) (/ 1 im)) in im 1.927 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ -1 re)))) in im 1.927 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 re))) in im 1.927 * [taylor]: Taking taylor expansion of 0.5 in im 1.927 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.927 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.927 * [taylor]: Taking taylor expansion of -1 in im 1.927 * [taylor]: Taking taylor expansion of re in im 1.928 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.928 * [taylor]: Taking taylor expansion of im in im 1.928 * [taylor]: Taking taylor expansion of -1 in re 1.929 * [taylor]: Taking taylor expansion of (log (* 0.5 (cos (/ -1 re)))) in re 1.929 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 re))) in re 1.929 * [taylor]: Taking taylor expansion of 0.5 in re 1.929 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.929 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.929 * [taylor]: Taking taylor expansion of -1 in re 1.929 * [taylor]: Taking taylor expansion of re in re 1.933 * [taylor]: Taking taylor expansion of 0 in re 1.938 * [taylor]: Taking taylor expansion of 0 in re 1.938 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.938 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 1.938 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 1.938 * [taylor]: Taking taylor expansion of 0.5 in im 1.939 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 1.939 * [taylor]: Taking taylor expansion of (cos re) in im 1.939 * [taylor]: Taking taylor expansion of re in im 1.939 * [taylor]: Taking taylor expansion of (exp im) in im 1.939 * [taylor]: Taking taylor expansion of im in im 1.939 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 1.939 * [taylor]: Taking taylor expansion of 0.5 in re 1.939 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 1.939 * [taylor]: Taking taylor expansion of (cos re) in re 1.939 * [taylor]: Taking taylor expansion of re in re 1.939 * [taylor]: Taking taylor expansion of (exp im) in re 1.939 * [taylor]: Taking taylor expansion of im in re 1.939 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 1.939 * [taylor]: Taking taylor expansion of 0.5 in re 1.939 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 1.939 * [taylor]: Taking taylor expansion of (cos re) in re 1.939 * [taylor]: Taking taylor expansion of re in re 1.939 * [taylor]: Taking taylor expansion of (exp im) in re 1.939 * [taylor]: Taking taylor expansion of im in re 1.939 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 1.939 * [taylor]: Taking taylor expansion of 0.5 in im 1.939 * [taylor]: Taking taylor expansion of (exp im) in im 1.939 * [taylor]: Taking taylor expansion of im in im 1.941 * [taylor]: Taking taylor expansion of 0 in im 1.945 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 1.945 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 1.945 * [taylor]: Taking taylor expansion of 0.25 in im 1.945 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 1.945 * [taylor]: Taking taylor expansion of (exp im) in im 1.945 * [taylor]: Taking taylor expansion of im in im 1.947 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 1.947 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.947 * [taylor]: Taking taylor expansion of 0.5 in im 1.947 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.947 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.947 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.947 * [taylor]: Taking taylor expansion of re in im 1.947 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.947 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.947 * [taylor]: Taking taylor expansion of im in im 1.948 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.948 * [taylor]: Taking taylor expansion of 0.5 in re 1.948 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.948 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.948 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.948 * [taylor]: Taking taylor expansion of re in re 1.948 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.948 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.948 * [taylor]: Taking taylor expansion of im in re 1.948 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 1.948 * [taylor]: Taking taylor expansion of 0.5 in re 1.948 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.948 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.948 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.948 * [taylor]: Taking taylor expansion of re in re 1.948 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.948 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.948 * [taylor]: Taking taylor expansion of im in re 1.949 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 1.949 * [taylor]: Taking taylor expansion of 0.5 in im 1.949 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.949 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.949 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.949 * [taylor]: Taking taylor expansion of re in im 1.949 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.949 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.949 * [taylor]: Taking taylor expansion of im in im 1.951 * [taylor]: Taking taylor expansion of 0 in im 1.954 * [taylor]: Taking taylor expansion of 0 in im 1.959 * [taylor]: Taking taylor expansion of 0 in im 1.960 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 1.960 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 1.960 * [taylor]: Taking taylor expansion of 0.5 in im 1.960 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.960 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.960 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.960 * [taylor]: Taking taylor expansion of -1 in im 1.960 * [taylor]: Taking taylor expansion of re in im 1.960 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.960 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.960 * [taylor]: Taking taylor expansion of -1 in im 1.960 * [taylor]: Taking taylor expansion of im in im 1.961 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 1.961 * [taylor]: Taking taylor expansion of 0.5 in re 1.961 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.961 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.961 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.961 * [taylor]: Taking taylor expansion of -1 in re 1.961 * [taylor]: Taking taylor expansion of re in re 1.961 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.961 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.961 * [taylor]: Taking taylor expansion of -1 in re 1.961 * [taylor]: Taking taylor expansion of im in re 1.961 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 1.961 * [taylor]: Taking taylor expansion of 0.5 in re 1.961 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.961 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.961 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.961 * [taylor]: Taking taylor expansion of -1 in re 1.961 * [taylor]: Taking taylor expansion of re in re 1.962 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.962 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.962 * [taylor]: Taking taylor expansion of -1 in re 1.962 * [taylor]: Taking taylor expansion of im in re 1.962 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 1.962 * [taylor]: Taking taylor expansion of 0.5 in im 1.962 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.962 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.962 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.962 * [taylor]: Taking taylor expansion of -1 in im 1.962 * [taylor]: Taking taylor expansion of re in im 1.962 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.962 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.962 * [taylor]: Taking taylor expansion of -1 in im 1.962 * [taylor]: Taking taylor expansion of im in im 1.964 * [taylor]: Taking taylor expansion of 0 in im 1.968 * [taylor]: Taking taylor expansion of 0 in im 1.973 * [taylor]: Taking taylor expansion of 0 in im 1.973 * * * [progress]: simplifying candidates 1.974 * [simplify]: Simplifying using # : (exp (* (cbrt (+ im (log (* 0.5 (cos re))))) (cbrt (+ im (log (* 0.5 (cos re))))))) (exp (sqrt (+ im (log (* 0.5 (cos re)))))) (exp 1) (exp 1) (exp 1) (exp 1) (exp im) (exp (log (* 0.5 (cos re)))) (log (exp (+ im (log (* 0.5 (cos re)))))) (exp (exp (+ im (log (* 0.5 (cos re)))))) (* (cbrt (exp (+ im (log (* 0.5 (cos re)))))) (cbrt (exp (+ im (log (* 0.5 (cos re))))))) (cbrt (exp (+ im (log (* 0.5 (cos re)))))) (* (* (exp (+ im (log (* 0.5 (cos re))))) (exp (+ im (log (* 0.5 (cos re)))))) (exp (+ im (log (* 0.5 (cos re)))))) (sqrt (exp (+ im (log (* 0.5 (cos re)))))) (sqrt (exp (+ im (log (* 0.5 (cos re)))))) (log 0.5) (log (cos re)) (log (* 0.5 (cos re))) (log (* 0.5 (cos re))) (log (log (* 0.5 (cos re)))) (exp (log (* 0.5 (cos re)))) (* (cbrt (log (* 0.5 (cos re)))) (cbrt (log (* 0.5 (cos re))))) (cbrt (log (* 0.5 (cos re)))) (* (* (log (* 0.5 (cos re))) (log (* 0.5 (cos re)))) (log (* 0.5 (cos re)))) (sqrt (log (* 0.5 (cos re)))) (sqrt (log (* 0.5 (cos re)))) (* (exp im) (* 0.5 (cos re))) (log (+ im (log (* 0.5 (cos re))))) (exp (+ im (log (* 0.5 (cos re))))) (* (cbrt (+ im (log (* 0.5 (cos re))))) (cbrt (+ im (log (* 0.5 (cos re)))))) (cbrt (+ im (log (* 0.5 (cos re))))) (* (* (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re))))) (+ im (log (* 0.5 (cos re))))) (sqrt (+ im (log (* 0.5 (cos re))))) (sqrt (+ im (log (* 0.5 (cos re))))) (+ (pow im 3) (pow (log (* 0.5 (cos re))) 3)) (+ (* im im) (- (* (log (* 0.5 (cos re))) (log (* 0.5 (cos re)))) (* im (log (* 0.5 (cos re)))))) (- (* im im) (* (log (* 0.5 (cos re))) (log (* 0.5 (cos re))))) (- im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log 0.5)) (- (+ (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 im) (+ (* 0.25 (pow im 2)) 0.5)) (exp (+ im (log (* 0.5 (cos re))))) (exp (+ im (log (* 0.5 (cos re))))) (- (+ (log 0.5) (* 0.041666666666666664 (pow re 4))) (+ (* 0.03125 (/ (pow re 4) (pow 0.5 2))) (* 0.5 (pow re 2)))) (log (* 0.5 (cos re))) (log (* 0.5 (cos re))) (- (+ (log 0.5) im) (* 0.5 (pow re 2))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) 1.974 * [simplify]: Sending expressions to egg_math: (exp (* (cbrt (+ h0 (log (* h1 (cos h2))))) (cbrt (+ h0 (log (* h1 (cos h2))))))) (exp (sqrt (+ h0 (log (* h1 (cos h2)))))) (exp 1) (exp 1) (exp 1) (exp 1) (exp h0) (exp (log (* h1 (cos h2)))) (log (exp (+ h0 (log (* h1 (cos h2)))))) (exp (exp (+ h0 (log (* h1 (cos h2)))))) (* (cbrt (exp (+ h0 (log (* h1 (cos h2)))))) (cbrt (exp (+ h0 (log (* h1 (cos h2))))))) (cbrt (exp (+ h0 (log (* h1 (cos h2)))))) (* (* (exp (+ h0 (log (* h1 (cos h2))))) (exp (+ h0 (log (* h1 (cos h2)))))) (exp (+ h0 (log (* h1 (cos h2)))))) (sqrt (exp (+ h0 (log (* h1 (cos h2)))))) (sqrt (exp (+ h0 (log (* h1 (cos h2)))))) (log h1) (log (cos h2)) (log (* h1 (cos h2))) (log (* h1 (cos h2))) (log (log (* h1 (cos h2)))) (exp (log (* h1 (cos h2)))) (* (cbrt (log (* h1 (cos h2)))) (cbrt (log (* h1 (cos h2))))) (cbrt (log (* h1 (cos h2)))) (* (* (log (* h1 (cos h2))) (log (* h1 (cos h2)))) (log (* h1 (cos h2)))) (sqrt (log (* h1 (cos h2)))) (sqrt (log (* h1 (cos h2)))) (* (exp h0) (* h1 (cos h2))) (log (+ h0 (log (* h1 (cos h2))))) (exp (+ h0 (log (* h1 (cos h2))))) (* (cbrt (+ h0 (log (* h1 (cos h2))))) (cbrt (+ h0 (log (* h1 (cos h2)))))) (cbrt (+ h0 (log (* h1 (cos h2))))) (* (* (+ h0 (log (* h1 (cos h2)))) (+ h0 (log (* h1 (cos h2))))) (+ h0 (log (* h1 (cos h2))))) (sqrt (+ h0 (log (* h1 (cos h2))))) (sqrt (+ h0 (log (* h1 (cos h2))))) (+ (pow h0 3) (pow (log (* h1 (cos h2))) 3)) (+ (* h0 h0) (- (* (log (* h1 (cos h2))) (log (* h1 (cos h2)))) (* h0 (log (* h1 (cos h2)))))) (- (* h0 h0) (* (log (* h1 (cos h2))) (log (* h1 (cos h2))))) (- h0 (log (* h1 (cos h2)))) (+ h0 (log (* h1 (cos h2)))) (+ h0 (log (* h1 (cos h2)))) (+ h0 (log (* h1 (cos h2)))) (+ h0 (log h1)) (- (+ (log h1) (log (cos h2))) h0) (- (log (* h1 (cos h2))) h0) (log (/ (* h1 (cos h2)) (exp h0))) (exp (/ (* h1 (cos h2)) (exp h0))) (/ (* (* (* h1 h1) h1) (* (* (cos h2) (cos h2)) (cos h2))) (* (* (exp h0) (exp h0)) (exp h0))) (/ (* (* (* h1 (cos h2)) (* h1 (cos h2))) (* h1 (cos h2))) (* (* (exp h0) (exp h0)) (exp h0))) (* (cbrt (/ (* h1 (cos h2)) (exp h0))) (cbrt (/ (* h1 (cos h2)) (exp h0)))) (cbrt (/ (* h1 (cos h2)) (exp h0))) (* (* (/ (* h1 (cos h2)) (exp h0)) (/ (* h1 (cos h2)) (exp h0))) (/ (* h1 (cos h2)) (exp h0))) (sqrt (/ (* h1 (cos h2)) (exp h0))) (sqrt (/ (* h1 (cos h2)) (exp h0))) (- (* h1 (cos h2))) (- (exp h0)) (/ h1 (* (cbrt (exp h0)) (cbrt (exp h0)))) (/ (cos h2) (cbrt (exp h0))) (/ h1 (sqrt (exp h0))) (/ (cos h2) (sqrt (exp h0))) (/ h1 1) (/ (cos h2) (exp h0)) (/ 1 (exp h0)) (/ (exp h0) (* h1 (cos h2))) (/ (* h1 (cos h2)) (* (cbrt (exp h0)) (cbrt (exp h0)))) (/ (* h1 (cos h2)) (sqrt (exp h0))) (/ (* h1 (cos h2)) 1) (/ (exp h0) (cos h2)) (+ (* h1 h0) (+ (* h3 (pow h0 2)) h1)) (exp (+ h0 (log (* h1 (cos h2))))) (exp (+ h0 (log (* h1 (cos h2))))) (- (+ (log h1) (* h4 (pow h2 4))) (+ (* h5 (/ (pow h2 4) (pow h1 2))) (* h1 (pow h2 2)))) (log (* h1 (cos h2))) (log (* h1 (cos h2))) (- (+ (log h1) h0) (* h1 (pow h2 2))) (+ h0 (log (* h1 (cos h2)))) (+ h0 (log (* h1 (cos h2)))) (- h1 (+ (* h3 (pow h2 2)) (* h1 h0))) (* h1 (/ (cos h2) (exp h0))) (* h1 (/ (cos h2) (exp h0))) 1.978 * * [simplify]: iteration 0 : 268 enodes (cost 404 ) 1.983 * * [simplify]: iteration 1 : 1154 enodes (cost 357 ) 2.004 * * [simplify]: iteration 2 : 5002 enodes (cost 357 ) 2.006 * [simplify]: Simplified to: (exp (* (cbrt (+ im (log (* 0.5 (cos re))))) (cbrt (+ im (log (* 0.5 (cos re))))))) (exp (sqrt (+ im (log (* 0.5 (cos re)))))) E E E E (exp im) (* 0.5 (cos re)) (+ im (log (* 0.5 (cos re)))) (pow (exp (* (exp im) 0.5)) (cos re)) (* (cbrt (exp (+ im (log (* 0.5 (cos re)))))) (cbrt (exp (+ im (log (* 0.5 (cos re))))))) (cbrt (exp (+ im (log (* 0.5 (cos re)))))) (pow (* (exp im) (* 0.5 (cos re))) 3) (sqrt (exp (+ im (log (* 0.5 (cos re)))))) (sqrt (exp (+ im (log (* 0.5 (cos re)))))) (log 0.5) (log (cos re)) (log (* 0.5 (cos re))) (log (* 0.5 (cos re))) (log (log (* 0.5 (cos re)))) (* 0.5 (cos re)) (* (cbrt (log (* 0.5 (cos re)))) (cbrt (log (* 0.5 (cos re))))) (cbrt (log (* 0.5 (cos re)))) (pow (log (* 0.5 (cos re))) 3) (sqrt (log (* 0.5 (cos re)))) (sqrt (log (* 0.5 (cos re)))) (* (exp im) (* 0.5 (cos re))) (log (+ im (log (* 0.5 (cos re))))) (* (exp im) (* 0.5 (cos re))) (* (cbrt (+ im (log (* 0.5 (cos re))))) (cbrt (+ im (log (* 0.5 (cos re)))))) (cbrt (+ im (log (* 0.5 (cos re))))) (pow (+ im (log (* 0.5 (cos re)))) 3) (sqrt (+ im (log (* 0.5 (cos re))))) (sqrt (+ im (log (* 0.5 (cos re))))) (+ (pow im 3) (pow (log (* 0.5 (cos re))) 3)) (+ (* (log (* 0.5 (cos re))) (- (log (* 0.5 (cos re))) im)) (pow im 2)) (- (* im im) (* (log (* 0.5 (cos re))) (log (* 0.5 (cos re))))) (- im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log 0.5)) (- (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 im) (+ (* 0.25 (pow im 2)) 0.5)) (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (- (+ (log 0.5) (* 0.041666666666666664 (pow re 4))) (+ (* 0.03125 (/ (pow re 4) (pow 0.5 2))) (* 0.5 (pow re 2)))) (log (* 0.5 (cos re))) (log (* 0.5 (cos re))) (- (+ (log 0.5) im) (* 0.5 (pow re 2))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) 2.006 * * * [progress]: adding candidates to table 2.184 * [progress]: [Phase 3 of 3] Extracting. 2.184 * * [regime]: Finding splitpoints for: (# # #) 2.187 * * * [regime-changes]: Trying 6 branch expressions: ((+ (exp (- im)) (exp im)) (cos re) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) im re) 2.187 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# # #) 2.206 * * * * [regimes]: Trying to branch on (cos re) from (# # #) 2.224 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# # #) 2.246 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# # #) 2.272 * * * * [regimes]: Trying to branch on im from (# # #) 2.290 * * * * [regimes]: Trying to branch on re from (# # #) 2.305 * * * [regime]: Found split indices: #