6.659 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.112 * * * [progress]: [2/2] Setting up program. 0.114 * [progress]: [Phase 2 of 3] Improving. 0.114 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.117 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.118 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.120 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.122 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.125 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.129 * * [simplify]: iteration 5 : 629 enodes (cost 7 ) 0.136 * * [simplify]: iteration 6 : 1415 enodes (cost 7 ) 0.147 * * [simplify]: iteration 7 : 2148 enodes (cost 7 ) 0.184 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.184 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.184 * * [progress]: iteration 1 / 4 0.184 * * * [progress]: picking best candidate 0.186 * * * * [pick]: Picked # 0.186 * * * [progress]: localizing error 0.199 * * * [progress]: generating rewritten candidates 0.199 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.226 * * * [progress]: generating series expansions 0.226 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.227 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.227 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.227 * [taylor]: Taking taylor expansion of 0.5 in im 0.227 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.227 * [taylor]: Taking taylor expansion of (cos re) in im 0.227 * [taylor]: Taking taylor expansion of re in im 0.227 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.227 * [taylor]: Taking taylor expansion of (exp im) in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.227 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.227 * [taylor]: Taking taylor expansion of (- im) in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.228 * [taylor]: Taking taylor expansion of 0.5 in re 0.228 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.228 * [taylor]: Taking taylor expansion of (cos re) in re 0.228 * [taylor]: Taking taylor expansion of re in re 0.228 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.228 * [taylor]: Taking taylor expansion of (exp im) in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.228 * [taylor]: Taking taylor expansion of (- im) in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.228 * [taylor]: Taking taylor expansion of 0.5 in re 0.228 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.228 * [taylor]: Taking taylor expansion of (cos re) in re 0.228 * [taylor]: Taking taylor expansion of re in re 0.228 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.228 * [taylor]: Taking taylor expansion of (exp im) in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.228 * [taylor]: Taking taylor expansion of (- im) in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.228 * [taylor]: Taking taylor expansion of 0.5 in im 0.228 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.228 * [taylor]: Taking taylor expansion of (exp im) in im 0.228 * [taylor]: Taking taylor expansion of im in im 0.228 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.228 * [taylor]: Taking taylor expansion of (- im) in im 0.228 * [taylor]: Taking taylor expansion of im in im 0.232 * [taylor]: Taking taylor expansion of 0 in im 0.237 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.237 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.237 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.237 * [taylor]: Taking taylor expansion of 0.25 in im 0.237 * [taylor]: Taking taylor expansion of (exp im) in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.238 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.238 * [taylor]: Taking taylor expansion of 0.25 in im 0.238 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.238 * [taylor]: Taking taylor expansion of (- im) in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.243 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.243 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.243 * [taylor]: Taking taylor expansion of 0.5 in im 0.243 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.243 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.243 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.243 * [taylor]: Taking taylor expansion of re in im 0.243 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.243 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.243 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.243 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.243 * [taylor]: Taking taylor expansion of im in im 0.244 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.244 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.244 * [taylor]: Taking taylor expansion of im in im 0.244 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.244 * [taylor]: Taking taylor expansion of 0.5 in re 0.244 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.244 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.244 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.244 * [taylor]: Taking taylor expansion of re in re 0.245 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.245 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.245 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.245 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.245 * [taylor]: Taking taylor expansion of im in re 0.245 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.245 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.245 * [taylor]: Taking taylor expansion of im in re 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.245 * [taylor]: Taking taylor expansion of 0.5 in re 0.245 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.245 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.245 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.245 * [taylor]: Taking taylor expansion of re in re 0.245 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.245 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.245 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.245 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.245 * [taylor]: Taking taylor expansion of im in re 0.246 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.246 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.246 * [taylor]: Taking taylor expansion of 0.5 in im 0.246 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.246 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.246 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.246 * [taylor]: Taking taylor expansion of re in im 0.246 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.246 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.246 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.246 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.246 * [taylor]: Taking taylor expansion of im in im 0.247 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.247 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.247 * [taylor]: Taking taylor expansion of im in im 0.250 * [taylor]: Taking taylor expansion of 0 in im 0.256 * [taylor]: Taking taylor expansion of 0 in im 0.263 * [taylor]: Taking taylor expansion of 0 in im 0.264 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.264 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.264 * [taylor]: Taking taylor expansion of 0.5 in im 0.264 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.264 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.264 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.264 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.264 * [taylor]: Taking taylor expansion of -1 in im 0.264 * [taylor]: Taking taylor expansion of im in im 0.264 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.264 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.264 * [taylor]: Taking taylor expansion of im in im 0.264 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.264 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.265 * [taylor]: Taking taylor expansion of -1 in im 0.265 * [taylor]: Taking taylor expansion of re in im 0.265 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.265 * [taylor]: Taking taylor expansion of 0.5 in re 0.265 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.265 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.265 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.265 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.265 * [taylor]: Taking taylor expansion of -1 in re 0.265 * [taylor]: Taking taylor expansion of im in re 0.265 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.265 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.265 * [taylor]: Taking taylor expansion of im in re 0.265 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.265 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.265 * [taylor]: Taking taylor expansion of -1 in re 0.265 * [taylor]: Taking taylor expansion of re in re 0.265 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.265 * [taylor]: Taking taylor expansion of 0.5 in re 0.265 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.265 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.265 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.265 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.265 * [taylor]: Taking taylor expansion of -1 in re 0.265 * [taylor]: Taking taylor expansion of im in re 0.265 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.265 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.265 * [taylor]: Taking taylor expansion of im in re 0.266 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.266 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.266 * [taylor]: Taking taylor expansion of -1 in re 0.266 * [taylor]: Taking taylor expansion of re in re 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.266 * [taylor]: Taking taylor expansion of 0.5 in im 0.266 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.266 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.266 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.266 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.266 * [taylor]: Taking taylor expansion of -1 in im 0.266 * [taylor]: Taking taylor expansion of im in im 0.267 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.267 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.267 * [taylor]: Taking taylor expansion of im in im 0.267 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.267 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.267 * [taylor]: Taking taylor expansion of -1 in im 0.267 * [taylor]: Taking taylor expansion of re in im 0.270 * [taylor]: Taking taylor expansion of 0 in im 0.278 * [taylor]: Taking taylor expansion of 0 in im 0.285 * [taylor]: Taking taylor expansion of 0 in im 0.285 * * * [progress]: simplifying candidates 0.286 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (- im)) (exp im)))) (+ (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (exp (- im))) (* (* 0.5 (cos re)) (exp im)) (* (exp (- im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (- (+ (* 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))) 0.289 * * [simplify]: iteration 0 : 215 enodes (cost 246 ) 0.294 * * [simplify]: iteration 1 : 1120 enodes (cost 199 ) 0.318 * * [simplify]: iteration 2 : 5002 enodes (cost 198 ) 0.319 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (cos re) (+ (exp im) (exp (- im)))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (+ (* 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))) 0.320 * * * [progress]: adding candidates to table 0.368 * * [progress]: iteration 2 / 4 0.368 * * * [progress]: picking best candidate 0.372 * * * * [pick]: Picked # 0.372 * * * [progress]: localizing error 0.381 * * * [progress]: generating rewritten candidates 0.381 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.391 * * * [progress]: generating series expansions 0.391 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.391 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 0.391 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.391 * [taylor]: Taking taylor expansion of 0.5 in im 0.391 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.391 * [taylor]: Taking taylor expansion of (exp im) in im 0.391 * [taylor]: Taking taylor expansion of im in im 0.391 * [taylor]: Taking taylor expansion of (cos re) in im 0.391 * [taylor]: Taking taylor expansion of re in im 0.391 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.391 * [taylor]: Taking taylor expansion of 0.5 in re 0.391 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.391 * [taylor]: Taking taylor expansion of (exp im) in re 0.391 * [taylor]: Taking taylor expansion of im in re 0.391 * [taylor]: Taking taylor expansion of (cos re) in re 0.391 * [taylor]: Taking taylor expansion of re in re 0.391 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.391 * [taylor]: Taking taylor expansion of 0.5 in re 0.391 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.391 * [taylor]: Taking taylor expansion of (exp im) in re 0.391 * [taylor]: Taking taylor expansion of im in re 0.392 * [taylor]: Taking taylor expansion of (cos re) in re 0.392 * [taylor]: Taking taylor expansion of re in re 0.392 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.392 * [taylor]: Taking taylor expansion of 0.5 in im 0.392 * [taylor]: Taking taylor expansion of (exp im) in im 0.392 * [taylor]: Taking taylor expansion of im in im 0.394 * [taylor]: Taking taylor expansion of 0 in im 0.397 * [taylor]: Taking taylor expansion of (- (* 0.25 (exp im))) in im 0.397 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.397 * [taylor]: Taking taylor expansion of 0.25 in im 0.397 * [taylor]: Taking taylor expansion of (exp im) in im 0.397 * [taylor]: Taking taylor expansion of im in im 0.399 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.399 * [taylor]: Taking taylor expansion of 0.5 in im 0.399 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.399 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.399 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.399 * [taylor]: Taking taylor expansion of re in im 0.399 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.399 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.399 * [taylor]: Taking taylor expansion of im in im 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.399 * [taylor]: Taking taylor expansion of 0.5 in re 0.399 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.399 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.399 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.399 * [taylor]: Taking taylor expansion of re in re 0.400 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.400 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.400 * [taylor]: Taking taylor expansion of im in re 0.400 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.400 * [taylor]: Taking taylor expansion of 0.5 in re 0.400 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.400 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.400 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.400 * [taylor]: Taking taylor expansion of re in re 0.400 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.400 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.400 * [taylor]: Taking taylor expansion of im in re 0.400 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.400 * [taylor]: Taking taylor expansion of 0.5 in im 0.400 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.400 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.400 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.400 * [taylor]: Taking taylor expansion of re in im 0.401 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.401 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.401 * [taylor]: Taking taylor expansion of im in im 0.402 * [taylor]: Taking taylor expansion of 0 in im 0.406 * [taylor]: Taking taylor expansion of 0 in im 0.412 * [taylor]: Taking taylor expansion of 0 in im 0.412 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 0.412 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.412 * [taylor]: Taking taylor expansion of 0.5 in im 0.412 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.412 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.412 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.412 * [taylor]: Taking taylor expansion of -1 in im 0.412 * [taylor]: Taking taylor expansion of im in im 0.413 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.413 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.413 * [taylor]: Taking taylor expansion of -1 in im 0.413 * [taylor]: Taking taylor expansion of re in im 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.413 * [taylor]: Taking taylor expansion of 0.5 in re 0.413 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.413 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.413 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.413 * [taylor]: Taking taylor expansion of -1 in re 0.413 * [taylor]: Taking taylor expansion of im in re 0.413 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.413 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.413 * [taylor]: Taking taylor expansion of -1 in re 0.413 * [taylor]: Taking taylor expansion of re in re 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.413 * [taylor]: Taking taylor expansion of 0.5 in re 0.413 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.413 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.413 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.413 * [taylor]: Taking taylor expansion of -1 in re 0.413 * [taylor]: Taking taylor expansion of im in re 0.413 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.413 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.413 * [taylor]: Taking taylor expansion of -1 in re 0.413 * [taylor]: Taking taylor expansion of re in re 0.414 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.414 * [taylor]: Taking taylor expansion of 0.5 in im 0.414 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.414 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.414 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.414 * [taylor]: Taking taylor expansion of -1 in im 0.414 * [taylor]: Taking taylor expansion of im in im 0.414 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.414 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.414 * [taylor]: Taking taylor expansion of -1 in im 0.415 * [taylor]: Taking taylor expansion of re in im 0.416 * [taylor]: Taking taylor expansion of 0 in im 0.420 * [taylor]: Taking taylor expansion of 0 in im 0.425 * [taylor]: Taking taylor expansion of 0 in im 0.426 * * * [progress]: simplifying candidates 0.426 * [simplify]: Simplifying using # : (* (* 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 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 0.429 * * [simplify]: iteration 0 : 123 enodes (cost 122 ) 0.433 * * [simplify]: iteration 1 : 577 enodes (cost 97 ) 0.447 * * [simplify]: iteration 2 : 3107 enodes (cost 97 ) 0.507 * * [simplify]: iteration 3 : 5001 enodes (cost 97 ) 0.508 * [simplify]: Simplified to: (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (exp (* (* 0.5 (cos re)) (exp im))) (pow (* 0.5 (* (exp im) (cos re))) 3) (pow (* 0.5 (* (exp im) (cos re))) 3) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (pow (* 0.5 (* (exp im) (cos re))) 3) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (* (cos re) (exp im)) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 0.508 * * * [progress]: adding candidates to table 0.551 * * [progress]: iteration 3 / 4 0.551 * * * [progress]: picking best candidate 0.553 * * * * [pick]: Picked # 0.553 * * * [progress]: localizing error 0.566 * * * [progress]: generating rewritten candidates 0.566 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.640 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.669 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.682 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.697 * * * [progress]: generating series expansions 0.698 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.698 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.698 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.698 * [taylor]: Taking taylor expansion of 0.5 in im 0.698 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.698 * [taylor]: Taking taylor expansion of (cos re) in im 0.698 * [taylor]: Taking taylor expansion of re in im 0.698 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.698 * [taylor]: Taking taylor expansion of (exp im) in im 0.698 * [taylor]: Taking taylor expansion of im in im 0.698 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.698 * [taylor]: Taking taylor expansion of (- im) in im 0.698 * [taylor]: Taking taylor expansion of im in im 0.699 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.699 * [taylor]: Taking taylor expansion of 0.5 in re 0.699 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.699 * [taylor]: Taking taylor expansion of (cos re) in re 0.699 * [taylor]: Taking taylor expansion of re in re 0.699 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.699 * [taylor]: Taking taylor expansion of (exp im) in re 0.699 * [taylor]: Taking taylor expansion of im in re 0.699 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.699 * [taylor]: Taking taylor expansion of (- im) in re 0.699 * [taylor]: Taking taylor expansion of im in re 0.699 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.699 * [taylor]: Taking taylor expansion of 0.5 in re 0.699 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.699 * [taylor]: Taking taylor expansion of (cos re) in re 0.699 * [taylor]: Taking taylor expansion of re in re 0.699 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.699 * [taylor]: Taking taylor expansion of (exp im) in re 0.699 * [taylor]: Taking taylor expansion of im in re 0.699 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.699 * [taylor]: Taking taylor expansion of (- im) in re 0.699 * [taylor]: Taking taylor expansion of im in re 0.700 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.700 * [taylor]: Taking taylor expansion of 0.5 in im 0.700 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.700 * [taylor]: Taking taylor expansion of (exp im) in im 0.700 * [taylor]: Taking taylor expansion of im in im 0.700 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.700 * [taylor]: Taking taylor expansion of (- im) in im 0.700 * [taylor]: Taking taylor expansion of im in im 0.703 * [taylor]: Taking taylor expansion of 0 in im 0.709 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.709 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.709 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.709 * [taylor]: Taking taylor expansion of 0.25 in im 0.709 * [taylor]: Taking taylor expansion of (exp im) in im 0.709 * [taylor]: Taking taylor expansion of im in im 0.709 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.709 * [taylor]: Taking taylor expansion of 0.25 in im 0.709 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.709 * [taylor]: Taking taylor expansion of (- im) in im 0.709 * [taylor]: Taking taylor expansion of im in im 0.715 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.715 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.715 * [taylor]: Taking taylor expansion of 0.5 in im 0.715 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.715 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.715 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.715 * [taylor]: Taking taylor expansion of re in im 0.715 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.715 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.715 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.715 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.715 * [taylor]: Taking taylor expansion of im in im 0.716 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.716 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.716 * [taylor]: Taking taylor expansion of im in im 0.716 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.716 * [taylor]: Taking taylor expansion of 0.5 in re 0.716 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.716 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.716 * [taylor]: Taking taylor expansion of re in re 0.717 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.717 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.717 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.717 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.717 * [taylor]: Taking taylor expansion of im in re 0.717 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.717 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.717 * [taylor]: Taking taylor expansion of im in re 0.717 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.717 * [taylor]: Taking taylor expansion of 0.5 in re 0.717 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.717 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.717 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.717 * [taylor]: Taking taylor expansion of re in re 0.717 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.717 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.717 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.717 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.717 * [taylor]: Taking taylor expansion of im in re 0.718 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.718 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.718 * [taylor]: Taking taylor expansion of im in re 0.718 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.718 * [taylor]: Taking taylor expansion of 0.5 in im 0.718 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.718 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.718 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.718 * [taylor]: Taking taylor expansion of re in im 0.718 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.718 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.718 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.718 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.718 * [taylor]: Taking taylor expansion of im in im 0.719 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.719 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.719 * [taylor]: Taking taylor expansion of im in im 0.722 * [taylor]: Taking taylor expansion of 0 in im 0.728 * [taylor]: Taking taylor expansion of 0 in im 0.736 * [taylor]: Taking taylor expansion of 0 in im 0.736 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.736 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.737 * [taylor]: Taking taylor expansion of 0.5 in im 0.737 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.737 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.737 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.737 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.737 * [taylor]: Taking taylor expansion of -1 in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.737 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.737 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.737 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.737 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.737 * [taylor]: Taking taylor expansion of -1 in im 0.737 * [taylor]: Taking taylor expansion of re in im 0.737 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.737 * [taylor]: Taking taylor expansion of 0.5 in re 0.737 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.737 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.738 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.738 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.738 * [taylor]: Taking taylor expansion of -1 in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.738 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.738 * [taylor]: Taking taylor expansion of -1 in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.738 * [taylor]: Taking taylor expansion of 0.5 in re 0.738 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.738 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.738 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.738 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.738 * [taylor]: Taking taylor expansion of -1 in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.738 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.738 * [taylor]: Taking taylor expansion of -1 in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.742 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.742 * [taylor]: Taking taylor expansion of 0.5 in im 0.742 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.742 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.742 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.742 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.742 * [taylor]: Taking taylor expansion of -1 in im 0.742 * [taylor]: Taking taylor expansion of im in im 0.742 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.742 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.743 * [taylor]: Taking taylor expansion of im in im 0.743 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.743 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.743 * [taylor]: Taking taylor expansion of -1 in im 0.743 * [taylor]: Taking taylor expansion of re in im 0.746 * [taylor]: Taking taylor expansion of 0 in im 0.751 * [taylor]: Taking taylor expansion of 0 in im 0.758 * [taylor]: Taking taylor expansion of 0 in im 0.759 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.759 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in (re im) around 0 0.759 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in im 0.759 * [taylor]: Taking taylor expansion of 0.5 in im 0.759 * [taylor]: Taking taylor expansion of (* (cos re) (sqrt (+ (exp im) (exp (- im))))) in im 0.759 * [taylor]: Taking taylor expansion of (cos re) in im 0.759 * [taylor]: Taking taylor expansion of re in im 0.759 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 0.759 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.759 * [taylor]: Taking taylor expansion of (exp im) in im 0.759 * [taylor]: Taking taylor expansion of im in im 0.759 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.759 * [taylor]: Taking taylor expansion of (- im) in im 0.759 * [taylor]: Taking taylor expansion of im in im 0.762 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in re 0.762 * [taylor]: Taking taylor expansion of 0.5 in re 0.762 * [taylor]: Taking taylor expansion of (* (cos re) (sqrt (+ (exp im) (exp (- im))))) in re 0.762 * [taylor]: Taking taylor expansion of (cos re) in re 0.762 * [taylor]: Taking taylor expansion of re in re 0.762 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in re 0.762 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.762 * [taylor]: Taking taylor expansion of (exp im) in re 0.762 * [taylor]: Taking taylor expansion of im in re 0.762 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.762 * [taylor]: Taking taylor expansion of (- im) in re 0.762 * [taylor]: Taking taylor expansion of im in re 0.764 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in re 0.764 * [taylor]: Taking taylor expansion of 0.5 in re 0.764 * [taylor]: Taking taylor expansion of (* (cos re) (sqrt (+ (exp im) (exp (- im))))) in re 0.764 * [taylor]: Taking taylor expansion of (cos re) in re 0.764 * [taylor]: Taking taylor expansion of re in re 0.764 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in re 0.764 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.764 * [taylor]: Taking taylor expansion of (exp im) in re 0.764 * [taylor]: Taking taylor expansion of im in re 0.764 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.764 * [taylor]: Taking taylor expansion of (- im) in re 0.764 * [taylor]: Taking taylor expansion of im in re 0.766 * [taylor]: Taking taylor expansion of (* 0.5 (sqrt (+ (exp im) (exp (- im))))) in im 0.766 * [taylor]: Taking taylor expansion of 0.5 in im 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 0.766 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.766 * [taylor]: Taking taylor expansion of (exp im) in im 0.766 * [taylor]: Taking taylor expansion of im in im 0.766 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.766 * [taylor]: Taking taylor expansion of (- im) in im 0.766 * [taylor]: Taking taylor expansion of im in im 0.771 * [taylor]: Taking taylor expansion of 0 in im 0.775 * [taylor]: Taking taylor expansion of (- (* 0.25 (sqrt (+ (exp im) (exp (- im)))))) in im 0.775 * [taylor]: Taking taylor expansion of (* 0.25 (sqrt (+ (exp im) (exp (- im))))) in im 0.775 * [taylor]: Taking taylor expansion of 0.25 in im 0.775 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 0.775 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.776 * [taylor]: Taking taylor expansion of (exp im) in im 0.776 * [taylor]: Taking taylor expansion of im in im 0.776 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.776 * [taylor]: Taking taylor expansion of (- im) in im 0.776 * [taylor]: Taking taylor expansion of im in im 0.790 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0 0.790 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 0.790 * [taylor]: Taking taylor expansion of 0.5 in im 0.790 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.790 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.790 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.790 * [taylor]: Taking taylor expansion of re in im 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.790 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.790 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.790 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.790 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.790 * [taylor]: Taking taylor expansion of im in im 0.791 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.791 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.791 * [taylor]: Taking taylor expansion of im in im 0.792 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 0.792 * [taylor]: Taking taylor expansion of 0.5 in re 0.792 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.792 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.792 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.792 * [taylor]: Taking taylor expansion of re in re 0.792 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.792 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.792 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.792 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.792 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.792 * [taylor]: Taking taylor expansion of im in re 0.792 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.792 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.792 * [taylor]: Taking taylor expansion of im in re 0.794 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 0.794 * [taylor]: Taking taylor expansion of 0.5 in re 0.794 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.794 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.794 * [taylor]: Taking taylor expansion of re in re 0.795 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.795 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.795 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.795 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.795 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.795 * [taylor]: Taking taylor expansion of im in re 0.795 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.795 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.795 * [taylor]: Taking taylor expansion of im in re 0.797 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 0.797 * [taylor]: Taking taylor expansion of 0.5 in im 0.797 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.797 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.797 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.797 * [taylor]: Taking taylor expansion of re in im 0.797 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.797 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.797 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.797 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.797 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.797 * [taylor]: Taking taylor expansion of im in im 0.798 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.798 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.798 * [taylor]: Taking taylor expansion of im in im 0.800 * [taylor]: Taking taylor expansion of 0 in im 0.806 * [taylor]: Taking taylor expansion of 0 in im 0.816 * [taylor]: Taking taylor expansion of 0 in im 0.816 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in (re im) around 0 0.816 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in im 0.816 * [taylor]: Taking taylor expansion of 0.5 in im 0.816 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in im 0.816 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.816 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.816 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.816 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.816 * [taylor]: Taking taylor expansion of -1 in im 0.816 * [taylor]: Taking taylor expansion of im in im 0.816 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.816 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.817 * [taylor]: Taking taylor expansion of im in im 0.817 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.817 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.817 * [taylor]: Taking taylor expansion of -1 in im 0.817 * [taylor]: Taking taylor expansion of re in im 0.817 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in re 0.817 * [taylor]: Taking taylor expansion of 0.5 in re 0.817 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in re 0.817 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 0.818 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.818 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.818 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.818 * [taylor]: Taking taylor expansion of -1 in re 0.818 * [taylor]: Taking taylor expansion of im in re 0.818 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.818 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.818 * [taylor]: Taking taylor expansion of im in re 0.819 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.819 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.819 * [taylor]: Taking taylor expansion of -1 in re 0.819 * [taylor]: Taking taylor expansion of re in re 0.820 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in re 0.820 * [taylor]: Taking taylor expansion of 0.5 in re 0.820 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in re 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 0.820 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.820 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.820 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.820 * [taylor]: Taking taylor expansion of -1 in re 0.820 * [taylor]: Taking taylor expansion of im in re 0.820 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.820 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.820 * [taylor]: Taking taylor expansion of im in re 0.822 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.822 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.822 * [taylor]: Taking taylor expansion of -1 in re 0.822 * [taylor]: Taking taylor expansion of re in re 0.822 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in im 0.822 * [taylor]: Taking taylor expansion of 0.5 in im 0.822 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in im 0.822 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.822 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.822 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.822 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.822 * [taylor]: Taking taylor expansion of -1 in im 0.822 * [taylor]: Taking taylor expansion of im in im 0.823 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.823 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.823 * [taylor]: Taking taylor expansion of im in im 0.823 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.824 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.824 * [taylor]: Taking taylor expansion of -1 in im 0.824 * [taylor]: Taking taylor expansion of re in im 0.825 * [taylor]: Taking taylor expansion of 0 in im 0.834 * [taylor]: Taking taylor expansion of 0 in im 0.842 * [taylor]: Taking taylor expansion of 0 in im 0.842 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.842 * [approximate]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in (im) around 0 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 0.842 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.842 * [taylor]: Taking taylor expansion of (exp im) in im 0.842 * [taylor]: Taking taylor expansion of im in im 0.842 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.842 * [taylor]: Taking taylor expansion of (- im) in im 0.842 * [taylor]: Taking taylor expansion of im in im 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 0.845 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.845 * [taylor]: Taking taylor expansion of (exp im) in im 0.845 * [taylor]: Taking taylor expansion of im in im 0.845 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.845 * [taylor]: Taking taylor expansion of (- im) in im 0.845 * [taylor]: Taking taylor expansion of im in im 0.875 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 0.875 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.875 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.875 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.875 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.875 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.875 * [taylor]: Taking taylor expansion of im in im 0.875 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.875 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.875 * [taylor]: Taking taylor expansion of im in im 0.876 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.876 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.876 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.876 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.876 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.876 * [taylor]: Taking taylor expansion of im in im 0.877 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.877 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.877 * [taylor]: Taking taylor expansion of im in im 0.882 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 0.882 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.882 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.882 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.882 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.882 * [taylor]: Taking taylor expansion of -1 in im 0.882 * [taylor]: Taking taylor expansion of im in im 0.883 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.883 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.883 * [taylor]: Taking taylor expansion of im in im 0.883 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.883 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.883 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.883 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.883 * [taylor]: Taking taylor expansion of -1 in im 0.883 * [taylor]: Taking taylor expansion of im in im 0.884 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.884 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.884 * [taylor]: Taking taylor expansion of im in im 0.889 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.889 * [approximate]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in (im) around 0 0.889 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 0.889 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.889 * [taylor]: Taking taylor expansion of (exp im) in im 0.889 * [taylor]: Taking taylor expansion of im in im 0.889 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.889 * [taylor]: Taking taylor expansion of (- im) in im 0.889 * [taylor]: Taking taylor expansion of im in im 0.892 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 0.892 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.892 * [taylor]: Taking taylor expansion of (exp im) in im 0.892 * [taylor]: Taking taylor expansion of im in im 0.892 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.892 * [taylor]: Taking taylor expansion of (- im) in im 0.892 * [taylor]: Taking taylor expansion of im in im 0.925 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 0.925 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.925 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.925 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.925 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.925 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.925 * [taylor]: Taking taylor expansion of im in im 0.926 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.926 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.926 * [taylor]: Taking taylor expansion of im in im 0.927 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.927 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.927 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.927 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.927 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.927 * [taylor]: Taking taylor expansion of im in im 0.927 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.927 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.927 * [taylor]: Taking taylor expansion of im in im 0.933 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 0.933 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.933 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.933 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.933 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.933 * [taylor]: Taking taylor expansion of -1 in im 0.933 * [taylor]: Taking taylor expansion of im in im 0.933 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.933 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.933 * [taylor]: Taking taylor expansion of im in im 0.934 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.934 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.934 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.934 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.934 * [taylor]: Taking taylor expansion of -1 in im 0.934 * [taylor]: Taking taylor expansion of im in im 0.934 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.934 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.934 * [taylor]: Taking taylor expansion of im in im 0.939 * * * [progress]: simplifying candidates 0.941 * [simplify]: Simplifying using # : (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))) (+ (+ (+ (log 0.5) (log (cos re))) (log (sqrt (+ (exp (- im)) (exp im))))) (log (sqrt (+ (exp (- im)) (exp im))))) (+ (+ (log (* 0.5 (cos re))) (log (sqrt (+ (exp (- im)) (exp im))))) (log (sqrt (+ (exp (- im)) (exp im))))) (+ (log (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (log (sqrt (+ (exp (- im)) (exp im))))) (log (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (exp (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (cbrt (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (cbrt (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))))) (cbrt (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (sqrt (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (sqrt (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* 0.5 (cos re)) (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (sqrt (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (sqrt (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (* (* (* 0.5 (cos re)) (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (sqrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (* (sqrt (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (sqrt (- (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (sqrt (- (exp (- im)) (exp im))) (sqrt (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (* (* (* 0.5 (cos re)) (sqrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (sqrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (* (sqrt (- (exp (- im)) (exp im))) (sqrt (- (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im)))))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (sqrt (+ (exp (- im)) (exp im))))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt 1)) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt 1)) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (sqrt (+ (exp (- im)) (exp im))))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) 1) (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (* (* (* 0.5 (cos re)) (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (sqrt (+ (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (+ (+ (log 0.5) (log (cos re))) (log (sqrt (+ (exp (- im)) (exp im))))) (+ (log (* 0.5 (cos re))) (log (sqrt (+ (exp (- im)) (exp im))))) (log (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (exp (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (cbrt (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))))) (cbrt (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (sqrt (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (sqrt (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (* (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im)))))) (* (* 0.5 (cos re)) (sqrt (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))))) (* (* 0.5 (cos re)) (sqrt (sqrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt 1)) (* (* 0.5 (cos re)) (sqrt 1)) (* (* 0.5 (cos re)) (sqrt (sqrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) 1) (* (cos re) (sqrt (+ (exp (- im)) (exp 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(exp (- im))))) (+ (* 0.25 (- (/ (pow im 2) (sqrt 2)) (* (pow re 2) (sqrt 2)))) (* 0.5 (sqrt 2))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (+ (+ (sqrt 2) (* 1/2 (/ (pow im 2) (sqrt 2)))) (* (/ (pow im 4) (sqrt 2)) -1/48)) (sqrt (+ (exp im) (exp (- im)))) (sqrt (+ (exp im) (exp (- im)))) (+ (+ (sqrt 2) (* 1/2 (/ (pow im 2) (sqrt 2)))) (* (/ (pow im 4) (sqrt 2)) -1/48)) (sqrt (+ (exp im) (exp (- im)))) (sqrt (+ (exp im) (exp (- im)))) 1.001 * * * [progress]: adding candidates to table 1.244 * [progress]: [Phase 3 of 3] Extracting. 1.244 * * [regime]: Finding splitpoints for: (# #) 1.244 * * * [regime-changes]: Trying 5 branch expressions: ((+ (exp (- im)) (exp im)) (cos re) (* 0.5 (cos re)) im re) 1.244 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# #) 1.260 * * * * [regimes]: Trying to branch on (cos re) from (# #) 1.276 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 1.290 * * * * [regimes]: Trying to branch on im from (# #) 1.302 * * * * [regimes]: Trying to branch on re from (# #) 1.316 * * * [regime]: Found split indices: #