18.181 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.093 * [simplify]: Simplifying using # : (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 0.095 * * [simplify]: iteration 0 : 26 enodes (cost 7 ) 0.097 * * [simplify]: iteration 1 : 64 enodes (cost 7 ) 0.098 * * [simplify]: iteration 2 : 126 enodes (cost 7 ) 0.101 * * [simplify]: iteration 3 : 212 enodes (cost 7 ) 0.104 * * [simplify]: iteration 4 : 323 enodes (cost 7 ) 0.108 * * [simplify]: iteration 5 : 864 enodes (cost 7 ) 0.115 * * [simplify]: iteration 6 : 1202 enodes (cost 7 ) 0.123 * * [simplify]: iteration 7 : 1800 enodes (cost 7 ) 0.145 * * [simplify]: iteration 8 : 4421 enodes (cost 7 ) 0.162 * * [simplify]: iteration 9 : 5001 enodes (cost 7 ) 0.162 * [simplify]: Simplified to: (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 0.163 * * [progress]: iteration 1 / 4 0.163 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.175 * * * [progress]: generating rewritten candidates 0.175 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.189 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.201 * * * [progress]: generating series expansions 0.201 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.201 * [approximate]: Taking taylor expansion of (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.201 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) in im 0.201 * [taylor]: Taking taylor expansion of 0.5 in im 0.201 * [taylor]: Taking taylor expansion of (* (sin re) (+ (exp im) (exp (- im)))) in im 0.201 * [taylor]: Taking taylor expansion of (sin re) in im 0.201 * [taylor]: Taking taylor expansion of re in im 0.202 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.202 * [taylor]: Taking taylor expansion of (exp im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.202 * [taylor]: Taking taylor expansion of (- im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) in re 0.202 * [taylor]: Taking taylor expansion of 0.5 in re 0.202 * [taylor]: Taking taylor expansion of (* (sin re) (+ (exp im) (exp (- im)))) in re 0.202 * [taylor]: Taking taylor expansion of (sin re) in re 0.202 * [taylor]: Taking taylor expansion of re in re 0.202 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.202 * [taylor]: Taking taylor expansion of (exp im) in re 0.202 * [taylor]: Taking taylor expansion of im in re 0.203 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.203 * [taylor]: Taking taylor expansion of (- im) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) in re 0.203 * [taylor]: Taking taylor expansion of 0.5 in re 0.203 * [taylor]: Taking taylor expansion of (* (sin re) (+ (exp im) (exp (- im)))) in re 0.203 * [taylor]: Taking taylor expansion of (sin re) in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.203 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.203 * [taylor]: Taking taylor expansion of (exp im) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.203 * [taylor]: Taking taylor expansion of (- im) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [taylor]: Taking taylor expansion of 0 in im 0.206 * [taylor]: Taking taylor expansion of (+ (* 0.5 (exp im)) (* 0.5 (exp (- im)))) in im 0.206 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.206 * [taylor]: Taking taylor expansion of 0.5 in im 0.206 * [taylor]: Taking taylor expansion of (exp im) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.206 * [taylor]: Taking taylor expansion of (* 0.5 (exp (- im))) in im 0.206 * [taylor]: Taking taylor expansion of 0.5 in im 0.206 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.206 * [taylor]: Taking taylor expansion of (- im) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.211 * [taylor]: Taking taylor expansion of 0 in im 0.224 * [taylor]: Taking taylor expansion of (- (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (- im))))) in im 0.224 * [taylor]: Taking taylor expansion of (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (- im)))) in im 0.224 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (exp im)) in im 0.224 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 0.224 * [taylor]: Taking taylor expansion of (exp im) in im 0.225 * [taylor]: Taking taylor expansion of im in im 0.225 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (exp (- im))) in im 0.225 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 0.225 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.225 * [taylor]: Taking taylor expansion of (- im) in im 0.225 * [taylor]: Taking taylor expansion of im in im 0.232 * [approximate]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.232 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.232 * [taylor]: Taking taylor expansion of 0.5 in im 0.232 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.232 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.232 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.232 * [taylor]: Taking taylor expansion of re in im 0.232 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.232 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.232 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.232 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.233 * [taylor]: Taking taylor expansion of im in im 0.233 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.233 * [taylor]: Taking taylor expansion of im in im 0.233 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.233 * [taylor]: Taking taylor expansion of 0.5 in re 0.233 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.234 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.234 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.234 * [taylor]: Taking taylor expansion of re in re 0.234 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.234 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.234 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.234 * [taylor]: Taking taylor expansion of im in re 0.234 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.234 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.234 * [taylor]: Taking taylor expansion of im in re 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.234 * [taylor]: Taking taylor expansion of 0.5 in re 0.234 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.234 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.234 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.234 * [taylor]: Taking taylor expansion of re in re 0.235 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.235 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.235 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.235 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.235 * [taylor]: Taking taylor expansion of im in re 0.235 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.235 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.235 * [taylor]: Taking taylor expansion of im in re 0.235 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.235 * [taylor]: Taking taylor expansion of 0.5 in im 0.235 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.235 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.235 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.235 * [taylor]: Taking taylor expansion of re in im 0.235 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.235 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.235 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.235 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.235 * [taylor]: Taking taylor expansion of im in im 0.236 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.236 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.236 * [taylor]: Taking taylor expansion of im in im 0.239 * [taylor]: Taking taylor expansion of 0 in im 0.245 * [taylor]: Taking taylor expansion of 0 in im 0.253 * [taylor]: Taking taylor expansion of 0 in im 0.254 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in (re im) around 0 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in im 0.254 * [taylor]: Taking taylor expansion of 0.5 in im 0.254 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 0.254 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.254 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.254 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.254 * [taylor]: Taking taylor expansion of -1 in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.254 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.254 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.255 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.255 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.255 * [taylor]: Taking taylor expansion of -1 in im 0.255 * [taylor]: Taking taylor expansion of re in im 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in re 0.255 * [taylor]: Taking taylor expansion of 0.5 in re 0.255 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 0.255 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.255 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.255 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.255 * [taylor]: Taking taylor expansion of -1 in re 0.255 * [taylor]: Taking taylor expansion of im in re 0.255 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.255 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.255 * [taylor]: Taking taylor expansion of im in re 0.255 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.255 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.255 * [taylor]: Taking taylor expansion of -1 in re 0.255 * [taylor]: Taking taylor expansion of re in re 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in re 0.255 * [taylor]: Taking taylor expansion of 0.5 in re 0.255 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 0.255 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.255 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.255 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.255 * [taylor]: Taking taylor expansion of -1 in re 0.256 * [taylor]: Taking taylor expansion of im in re 0.256 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.256 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.256 * [taylor]: Taking taylor expansion of im in re 0.256 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.256 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.256 * [taylor]: Taking taylor expansion of -1 in re 0.256 * [taylor]: Taking taylor expansion of re in re 0.256 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in im 0.256 * [taylor]: Taking taylor expansion of 0.5 in im 0.256 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 0.256 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.256 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.256 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.256 * [taylor]: Taking taylor expansion of -1 in im 0.256 * [taylor]: Taking taylor expansion of im in im 0.257 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.257 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.257 * [taylor]: Taking taylor expansion of im in im 0.257 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.257 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.257 * [taylor]: Taking taylor expansion of -1 in im 0.257 * [taylor]: Taking taylor expansion of re in im 0.260 * [taylor]: Taking taylor expansion of 0 in im 0.265 * [taylor]: Taking taylor expansion of 0 in im 0.272 * [taylor]: Taking taylor expansion of 0 in im 0.272 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.272 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.272 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.272 * [taylor]: Taking taylor expansion of (exp im) in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.272 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.272 * [taylor]: Taking taylor expansion of (- im) in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.273 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.273 * [taylor]: Taking taylor expansion of (exp im) in im 0.273 * [taylor]: Taking taylor expansion of im in im 0.273 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.273 * [taylor]: Taking taylor expansion of (- im) in im 0.273 * [taylor]: Taking taylor expansion of im in im 0.287 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.287 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.287 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.287 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.287 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.287 * [taylor]: Taking taylor expansion of im in im 0.288 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.288 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.288 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.288 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.288 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.289 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.289 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.289 * [taylor]: Taking taylor expansion of im in im 0.291 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.291 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.291 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.291 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.291 * [taylor]: Taking taylor expansion of -1 in im 0.291 * [taylor]: Taking taylor expansion of im in im 0.291 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.291 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.291 * [taylor]: Taking taylor expansion of im in im 0.292 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.292 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.292 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.292 * [taylor]: Taking taylor expansion of -1 in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.292 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.292 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.294 * * * [progress]: simplifying candidates 0.295 * [simplify]: Simplifying using # : (expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (+ (+ (log 0.5) (log (sin re))) (log (+ (exp (- 0.0 im)) (exp im)))) (+ (log (* 0.5 (sin re))) (log (+ (exp (- 0.0 im)) (exp im)))) (log (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im))) (+ (exp (- 0.0 im)) (exp im)))) (* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im))) (+ (exp (- 0.0 im)) (exp im)))) (* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)) (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))) (* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im))))) (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) 1) (* (* 0.5 (sin re)) 1) (* (sin re) (+ (exp (- 0.0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (* (* 0.5 (sin re)) (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im)))) (expm1 (+ (exp (- 0.0 im)) (exp im))) (log1p (+ (exp (- 0.0 im)) (exp im))) (* (exp (exp (- 0.0 im))) (exp (exp im))) (log (+ (exp (- 0.0 im)) (exp im))) (exp (+ (exp (- 0.0 im)) (exp im))) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (+ (exp (- 0.0 im)) (exp im))) (* (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im))) (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))) (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im))) (- (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im)) (- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3))) (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (sin re))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 0.299 * * [simplify]: iteration 0 : 277 enodes (cost 376 ) 0.305 * * [simplify]: iteration 1 : 1271 enodes (cost 319 ) 0.330 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.332 * [simplify]: Simplified to: (expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (log1p (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (log (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (log (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (log (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3) (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3) (* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3) (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)) (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)) (* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im))))) (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* 0.5 (sin re)) (* 0.5 (sin re)) (* (sin re) (+ (exp (- 0.0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (* (* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re)) 0.5) (expm1 (+ (exp (- 0.0 im)) (exp im))) (log1p (+ (exp (- 0.0 im)) (exp im))) (exp (+ (exp (- 0.0 im)) (exp im))) (log (+ (exp (- 0.0 im)) (exp im))) (exp (+ (exp (- 0.0 im)) (exp im))) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (+ (exp (- 0.0 im)) (exp im))) (pow (+ (exp (- 0.0 im)) (exp im)) 3) (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (fma (exp im) (- (exp im) (exp (- 0.0 im))) (exp (+ (- 0.0 im) (- 0.0 im)))) (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (- (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im)) (fma re 1.0 (- (* 0.5 (* re (pow im 2))) (* 0.16666666666666666 (pow re 3)))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (sin re))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (sin re))) (fma (pow im 4) 1/12 (fma im im 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 0.332 * * * [progress]: adding candidates to table 0.602 * * [progress]: iteration 2 / 4 0.602 * * * [progress]: picking best candidate 0.607 * * * * [pick]: Picked # 0.607 * * * [progress]: localizing error 0.618 * * * [progress]: generating rewritten candidates 0.619 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.624 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.625 * * * [progress]: generating series expansions 0.625 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.626 * [approximate]: Taking taylor expansion of (* 0.5 (* (fma (pow im 4) 1/12 (fma im im 2)) (sin re))) in (re im) around 0 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (* (fma (pow im 4) 1/12 (fma im im 2)) (sin re))) in im 0.626 * [taylor]: Taking taylor expansion of 0.5 in im 0.626 * [taylor]: Taking taylor expansion of (* (fma (pow im 4) 1/12 (fma im im 2)) (sin re)) in im 0.626 * [taylor]: Taking taylor expansion of (fma (pow im 4) 1/12 (fma im im 2)) in im 0.626 * [taylor]: Rewrote expression to (+ (* (pow im 4) 1/12) (fma im im 2)) 0.626 * [taylor]: Taking taylor expansion of (* (pow im 4) 1/12) in im 0.626 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.626 * [taylor]: Taking taylor expansion of im in im 0.626 * [taylor]: Taking taylor expansion of 1/12 in im 0.626 * [taylor]: Taking taylor expansion of (fma im im 2) in im 0.626 * [taylor]: Rewrote expression to (+ (* im im) 2) 0.626 * [taylor]: Taking taylor expansion of (* im im) in im 0.626 * [taylor]: Taking taylor expansion of im in im 0.626 * [taylor]: Taking taylor expansion of im in im 0.626 * [taylor]: Taking taylor expansion of 2 in im 0.626 * [taylor]: Taking taylor expansion of (sin re) in im 0.626 * [taylor]: Taking taylor expansion of re in im 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (* (fma (pow im 4) 1/12 (fma im im 2)) (sin re))) in re 0.626 * [taylor]: Taking taylor expansion of 0.5 in re 0.626 * [taylor]: Taking taylor expansion of (* (fma (pow im 4) 1/12 (fma im im 2)) (sin re)) in re 0.626 * [taylor]: Taking taylor expansion of (fma (pow im 4) 1/12 (fma im im 2)) in re 0.626 * [taylor]: Rewrote expression to (+ (* (pow im 4) 1/12) (fma im im 2)) 0.626 * [taylor]: Taking taylor expansion of (* (pow im 4) 1/12) in re 0.626 * [taylor]: Taking taylor expansion of (pow im 4) in re 0.626 * [taylor]: Taking taylor expansion of im in re 0.626 * [taylor]: Taking taylor expansion of 1/12 in re 0.626 * [taylor]: Taking taylor expansion of (fma im im 2) in re 0.627 * [taylor]: Rewrote expression to (+ (* im im) 2) 0.627 * [taylor]: Taking taylor expansion of (* im im) in re 0.627 * [taylor]: Taking taylor expansion of im in re 0.627 * [taylor]: Taking taylor expansion of im in re 0.627 * [taylor]: Taking taylor expansion of 2 in re 0.627 * [taylor]: Taking taylor expansion of (sin re) in re 0.627 * [taylor]: Taking taylor expansion of re in re 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (* (fma (pow im 4) 1/12 (fma im im 2)) (sin re))) in re 0.627 * [taylor]: Taking taylor expansion of 0.5 in re 0.627 * [taylor]: Taking taylor expansion of (* (fma (pow im 4) 1/12 (fma im im 2)) (sin re)) in re 0.627 * [taylor]: Taking taylor expansion of (fma (pow im 4) 1/12 (fma im im 2)) in re 0.627 * [taylor]: Rewrote expression to (+ (* (pow im 4) 1/12) (fma im im 2)) 0.627 * [taylor]: Taking taylor expansion of (* (pow im 4) 1/12) in re 0.627 * [taylor]: Taking taylor expansion of (pow im 4) in re 0.627 * [taylor]: Taking taylor expansion of im in re 0.627 * [taylor]: Taking taylor expansion of 1/12 in re 0.627 * [taylor]: Taking taylor expansion of (fma im im 2) in re 0.627 * [taylor]: Rewrote expression to (+ (* im im) 2) 0.627 * [taylor]: Taking taylor expansion of (* im im) in re 0.627 * [taylor]: Taking taylor expansion of im in re 0.627 * [taylor]: Taking taylor expansion of im in re 0.627 * [taylor]: Taking taylor expansion of 2 in re 0.627 * [taylor]: Taking taylor expansion of (sin re) in re 0.627 * [taylor]: Taking taylor expansion of re in re 0.628 * [taylor]: Taking taylor expansion of 0 in im 0.631 * [taylor]: Taking taylor expansion of (+ (* 0.041666666666666664 (pow im 4)) (+ (* 0.5 (pow im 2)) 1.0)) in im 0.631 * [taylor]: Taking taylor expansion of (* 0.041666666666666664 (pow im 4)) in im 0.631 * [taylor]: Taking taylor expansion of 0.041666666666666664 in im 0.631 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.631 * [taylor]: Taking taylor expansion of im in im 0.631 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow im 2)) 1.0) in im 0.631 * [taylor]: Taking taylor expansion of (* 0.5 (pow im 2)) in im 0.631 * [taylor]: Taking taylor expansion of 0.5 in im 0.631 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.631 * [taylor]: Taking taylor expansion of im in im 0.631 * [taylor]: Taking taylor expansion of 1.0 in im 0.635 * [taylor]: Taking taylor expansion of 0 in im 0.641 * [taylor]: Taking taylor expansion of (- (+ (* 0.006944444444444444 (pow im 4)) (+ (* 0.08333333333333333 (pow im 2)) 0.16666666666666666))) in im 0.641 * [taylor]: Taking taylor expansion of (+ (* 0.006944444444444444 (pow im 4)) (+ (* 0.08333333333333333 (pow im 2)) 0.16666666666666666)) in im 0.641 * [taylor]: Taking taylor expansion of (* 0.006944444444444444 (pow im 4)) in im 0.641 * [taylor]: Taking taylor expansion of 0.006944444444444444 in im 0.641 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.641 * [taylor]: Taking taylor expansion of im in im 0.641 * [taylor]: Taking taylor expansion of (+ (* 0.08333333333333333 (pow im 2)) 0.16666666666666666) in im 0.641 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (pow im 2)) in im 0.641 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 0.641 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.641 * [taylor]: Taking taylor expansion of im in im 0.641 * [taylor]: Taking taylor expansion of 0.16666666666666666 in im 0.644 * [approximate]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (fma (pow (/ 1 im) 4) 1/12 (fma (/ 1 im) (/ 1 im) 2)))) in (re im) around 0 0.644 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (fma (pow (/ 1 im) 4) 1/12 (fma (/ 1 im) (/ 1 im) 2)))) in im 0.644 * [taylor]: Taking taylor expansion of 0.5 in im 0.644 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (fma (pow (/ 1 im) 4) 1/12 (fma (/ 1 im) (/ 1 im) 2))) in im 0.644 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.644 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.644 * [taylor]: Taking taylor expansion of re in im 0.644 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 im) 4) 1/12 (fma (/ 1 im) (/ 1 im) 2)) in im 0.644 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 im) 4) 1/12) (fma (/ 1 im) (/ 1 im) 2)) 0.644 * [taylor]: Taking taylor expansion of (* (pow (/ 1 im) 4) 1/12) in im 0.644 * [taylor]: Taking taylor expansion of (pow (/ 1 im) 4) in im 0.644 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.644 * [taylor]: Taking taylor expansion of im in im 0.644 * [taylor]: Taking taylor expansion of 1/12 in im 0.645 * [taylor]: Taking taylor expansion of (fma (/ 1 im) (/ 1 im) 2) in im 0.645 * [taylor]: Rewrote expression to (+ (* (/ 1 im) (/ 1 im)) 2) 0.645 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.645 * [taylor]: Taking taylor expansion of im in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.645 * [taylor]: Taking taylor expansion of im in im 0.645 * [taylor]: Taking taylor expansion of 2 in im 0.645 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (fma (pow (/ 1 im) 4) 1/12 (fma (/ 1 im) (/ 1 im) 2)))) in re 0.645 * [taylor]: Taking taylor expansion of 0.5 in re 0.645 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (fma (pow (/ 1 im) 4) 1/12 (fma (/ 1 im) (/ 1 im) 2))) in re 0.645 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.645 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.645 * [taylor]: Taking taylor expansion of re in re 0.646 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 im) 4) 1/12 (fma (/ 1 im) (/ 1 im) 2)) in re 0.646 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 im) 4) 1/12) (fma (/ 1 im) (/ 1 im) 2)) 0.646 * [taylor]: Taking taylor expansion of (* (pow (/ 1 im) 4) 1/12) in re 0.646 * [taylor]: Taking taylor expansion of (pow (/ 1 im) 4) in re 0.646 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.646 * [taylor]: Taking taylor expansion of im in re 0.646 * [taylor]: Taking taylor expansion of 1/12 in re 0.646 * [taylor]: Taking taylor expansion of (fma (/ 1 im) (/ 1 im) 2) in re 0.646 * [taylor]: Rewrote expression to (+ (* (/ 1 im) (/ 1 im)) 2) 0.646 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.646 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.646 * [taylor]: Taking taylor expansion of im in re 0.646 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.646 * [taylor]: Taking taylor expansion of im in re 0.646 * [taylor]: Taking taylor expansion of 2 in re 0.646 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (fma (pow (/ 1 im) 4) 1/12 (fma (/ 1 im) (/ 1 im) 2)))) in re 0.646 * [taylor]: Taking taylor expansion of 0.5 in re 0.646 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (fma (pow (/ 1 im) 4) 1/12 (fma (/ 1 im) (/ 1 im) 2))) in re 0.646 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 0.646 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.646 * [taylor]: Taking taylor expansion of re in re 0.647 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 im) 4) 1/12 (fma (/ 1 im) (/ 1 im) 2)) in re 0.647 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 im) 4) 1/12) (fma (/ 1 im) (/ 1 im) 2)) 0.647 * [taylor]: Taking taylor expansion of (* (pow (/ 1 im) 4) 1/12) in re 0.647 * [taylor]: Taking taylor expansion of (pow (/ 1 im) 4) in re 0.647 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.647 * [taylor]: Taking taylor expansion of im in re 0.647 * [taylor]: Taking taylor expansion of 1/12 in re 0.647 * [taylor]: Taking taylor expansion of (fma (/ 1 im) (/ 1 im) 2) in re 0.647 * [taylor]: Rewrote expression to (+ (* (/ 1 im) (/ 1 im)) 2) 0.647 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.647 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.647 * [taylor]: Taking taylor expansion of im in re 0.647 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.647 * [taylor]: Taking taylor expansion of im in re 0.647 * [taylor]: Taking taylor expansion of 2 in re 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)))) in im 0.648 * [taylor]: Taking taylor expansion of 0.5 in im 0.648 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2))) in im 0.648 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 0.648 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.648 * [taylor]: Taking taylor expansion of re in im 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.648 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.648 * [taylor]: Taking taylor expansion of im in im 0.649 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 0.649 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 0.649 * [taylor]: Taking taylor expansion of 1/12 in im 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.649 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.649 * [taylor]: Taking taylor expansion of im in im 0.649 * [taylor]: Taking taylor expansion of 2 in im 0.653 * [taylor]: Taking taylor expansion of 0 in im 0.660 * [taylor]: Taking taylor expansion of 0 in im 0.670 * [taylor]: Taking taylor expansion of 0 in im 0.683 * [taylor]: Taking taylor expansion of 0 in im 0.696 * [approximate]: Taking taylor expansion of (* 0.5 (* (sin (/ -1 re)) (fma (pow (/ -1 im) 4) 1/12 (fma (/ -1 im) (/ -1 im) 2)))) in (re im) around 0 0.696 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ -1 re)) (fma (pow (/ -1 im) 4) 1/12 (fma (/ -1 im) (/ -1 im) 2)))) in im 0.696 * [taylor]: Taking taylor expansion of 0.5 in im 0.696 * [taylor]: Taking taylor expansion of (* (sin (/ -1 re)) (fma (pow (/ -1 im) 4) 1/12 (fma (/ -1 im) (/ -1 im) 2))) in im 0.696 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.696 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.696 * [taylor]: Taking taylor expansion of -1 in im 0.696 * [taylor]: Taking taylor expansion of re in im 0.696 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 im) 4) 1/12 (fma (/ -1 im) (/ -1 im) 2)) in im 0.696 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 im) 4) 1/12) (fma (/ -1 im) (/ -1 im) 2)) 0.696 * [taylor]: Taking taylor expansion of (* (pow (/ -1 im) 4) 1/12) in im 0.697 * [taylor]: Taking taylor expansion of (pow (/ -1 im) 4) in im 0.697 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.697 * [taylor]: Taking taylor expansion of -1 in im 0.697 * [taylor]: Taking taylor expansion of im in im 0.697 * [taylor]: Taking taylor expansion of 1/12 in im 0.697 * [taylor]: Taking taylor expansion of (fma (/ -1 im) (/ -1 im) 2) in im 0.697 * [taylor]: Rewrote expression to (+ (* (/ -1 im) (/ -1 im)) 2) 0.697 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.697 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.697 * [taylor]: Taking taylor expansion of -1 in im 0.697 * [taylor]: Taking taylor expansion of im in im 0.697 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.697 * [taylor]: Taking taylor expansion of -1 in im 0.697 * [taylor]: Taking taylor expansion of im in im 0.698 * [taylor]: Taking taylor expansion of 2 in im 0.698 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ -1 re)) (fma (pow (/ -1 im) 4) 1/12 (fma (/ -1 im) (/ -1 im) 2)))) in re 0.698 * [taylor]: Taking taylor expansion of 0.5 in re 0.698 * [taylor]: Taking taylor expansion of (* (sin (/ -1 re)) (fma (pow (/ -1 im) 4) 1/12 (fma (/ -1 im) (/ -1 im) 2))) in re 0.698 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.698 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.698 * [taylor]: Taking taylor expansion of -1 in re 0.698 * [taylor]: Taking taylor expansion of re in re 0.698 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 im) 4) 1/12 (fma (/ -1 im) (/ -1 im) 2)) in re 0.698 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 im) 4) 1/12) (fma (/ -1 im) (/ -1 im) 2)) 0.698 * [taylor]: Taking taylor expansion of (* (pow (/ -1 im) 4) 1/12) in re 0.698 * [taylor]: Taking taylor expansion of (pow (/ -1 im) 4) in re 0.698 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.698 * [taylor]: Taking taylor expansion of -1 in re 0.698 * [taylor]: Taking taylor expansion of im in re 0.698 * [taylor]: Taking taylor expansion of 1/12 in re 0.698 * [taylor]: Taking taylor expansion of (fma (/ -1 im) (/ -1 im) 2) in re 0.698 * [taylor]: Rewrote expression to (+ (* (/ -1 im) (/ -1 im)) 2) 0.698 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.699 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.699 * [taylor]: Taking taylor expansion of -1 in re 0.699 * [taylor]: Taking taylor expansion of im in re 0.699 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.699 * [taylor]: Taking taylor expansion of -1 in re 0.699 * [taylor]: Taking taylor expansion of im in re 0.699 * [taylor]: Taking taylor expansion of 2 in re 0.699 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ -1 re)) (fma (pow (/ -1 im) 4) 1/12 (fma (/ -1 im) (/ -1 im) 2)))) in re 0.699 * [taylor]: Taking taylor expansion of 0.5 in re 0.699 * [taylor]: Taking taylor expansion of (* (sin (/ -1 re)) (fma (pow (/ -1 im) 4) 1/12 (fma (/ -1 im) (/ -1 im) 2))) in re 0.699 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 0.699 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.699 * [taylor]: Taking taylor expansion of -1 in re 0.699 * [taylor]: Taking taylor expansion of re in re 0.699 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 im) 4) 1/12 (fma (/ -1 im) (/ -1 im) 2)) in re 0.699 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 im) 4) 1/12) (fma (/ -1 im) (/ -1 im) 2)) 0.699 * [taylor]: Taking taylor expansion of (* (pow (/ -1 im) 4) 1/12) in re 0.699 * [taylor]: Taking taylor expansion of (pow (/ -1 im) 4) in re 0.699 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.699 * [taylor]: Taking taylor expansion of -1 in re 0.699 * [taylor]: Taking taylor expansion of im in re 0.699 * [taylor]: Taking taylor expansion of 1/12 in re 0.699 * [taylor]: Taking taylor expansion of (fma (/ -1 im) (/ -1 im) 2) in re 0.699 * [taylor]: Rewrote expression to (+ (* (/ -1 im) (/ -1 im)) 2) 0.699 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.699 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.700 * [taylor]: Taking taylor expansion of -1 in re 0.700 * [taylor]: Taking taylor expansion of im in re 0.700 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.700 * [taylor]: Taking taylor expansion of -1 in re 0.700 * [taylor]: Taking taylor expansion of im in re 0.700 * [taylor]: Taking taylor expansion of 2 in re 0.701 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) (sin (/ -1 re)))) in im 0.701 * [taylor]: Taking taylor expansion of 0.5 in im 0.701 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) (sin (/ -1 re))) in im 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.701 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.701 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 0.701 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 0.701 * [taylor]: Taking taylor expansion of 1/12 in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.701 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.702 * [taylor]: Taking taylor expansion of 2 in im 0.702 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 0.702 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.702 * [taylor]: Taking taylor expansion of -1 in im 0.702 * [taylor]: Taking taylor expansion of re in im 0.705 * [taylor]: Taking taylor expansion of 0 in im 0.713 * [taylor]: Taking taylor expansion of 0 in im 0.723 * [taylor]: Taking taylor expansion of 0 in im 0.736 * [taylor]: Taking taylor expansion of 0 in im 0.746 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.746 * [approximate]: Taking taylor expansion of (fma (pow im 4) 1/12 (fma im im 2)) in (im) around 0 0.746 * [taylor]: Taking taylor expansion of (fma (pow im 4) 1/12 (fma im im 2)) in im 0.746 * [taylor]: Rewrote expression to (+ (* (pow im 4) 1/12) (fma im im 2)) 0.746 * [taylor]: Taking taylor expansion of (* (pow im 4) 1/12) in im 0.746 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.746 * [taylor]: Taking taylor expansion of im in im 0.746 * [taylor]: Taking taylor expansion of 1/12 in im 0.746 * [taylor]: Taking taylor expansion of (fma im im 2) in im 0.747 * [taylor]: Rewrote expression to (+ (* im im) 2) 0.747 * [taylor]: Taking taylor expansion of (* im im) in im 0.747 * [taylor]: Taking taylor expansion of im in im 0.747 * [taylor]: Taking taylor expansion of im in im 0.747 * [taylor]: Taking taylor expansion of 2 in im 0.747 * [taylor]: Taking taylor expansion of (fma (pow im 4) 1/12 (fma im im 2)) in im 0.747 * [taylor]: Rewrote expression to (+ (* (pow im 4) 1/12) (fma im im 2)) 0.747 * [taylor]: Taking taylor expansion of (* (pow im 4) 1/12) in im 0.747 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.747 * [taylor]: Taking taylor expansion of im in im 0.747 * [taylor]: Taking taylor expansion of 1/12 in im 0.747 * [taylor]: Taking taylor expansion of (fma im im 2) in im 0.747 * [taylor]: Rewrote expression to (+ (* im im) 2) 0.747 * [taylor]: Taking taylor expansion of (* im im) in im 0.747 * [taylor]: Taking taylor expansion of im in im 0.747 * [taylor]: Taking taylor expansion of im in im 0.747 * [taylor]: Taking taylor expansion of 2 in im 0.752 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 im) 4) 1/12 (fma (/ 1 im) (/ 1 im) 2)) in (im) around 0 0.752 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 im) 4) 1/12 (fma (/ 1 im) (/ 1 im) 2)) in im 0.753 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 im) 4) 1/12) (fma (/ 1 im) (/ 1 im) 2)) 0.753 * [taylor]: Taking taylor expansion of (* (pow (/ 1 im) 4) 1/12) in im 0.753 * [taylor]: Taking taylor expansion of (pow (/ 1 im) 4) in im 0.753 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.753 * [taylor]: Taking taylor expansion of im in im 0.753 * [taylor]: Taking taylor expansion of 1/12 in im 0.753 * [taylor]: Taking taylor expansion of (fma (/ 1 im) (/ 1 im) 2) in im 0.753 * [taylor]: Rewrote expression to (+ (* (/ 1 im) (/ 1 im)) 2) 0.753 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.753 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.753 * [taylor]: Taking taylor expansion of im in im 0.753 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.753 * [taylor]: Taking taylor expansion of im in im 0.754 * [taylor]: Taking taylor expansion of 2 in im 0.754 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 im) 4) 1/12 (fma (/ 1 im) (/ 1 im) 2)) in im 0.754 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 im) 4) 1/12) (fma (/ 1 im) (/ 1 im) 2)) 0.754 * [taylor]: Taking taylor expansion of (* (pow (/ 1 im) 4) 1/12) in im 0.754 * [taylor]: Taking taylor expansion of (pow (/ 1 im) 4) in im 0.754 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.754 * [taylor]: Taking taylor expansion of im in im 0.754 * [taylor]: Taking taylor expansion of 1/12 in im 0.754 * [taylor]: Taking taylor expansion of (fma (/ 1 im) (/ 1 im) 2) in im 0.754 * [taylor]: Rewrote expression to (+ (* (/ 1 im) (/ 1 im)) 2) 0.754 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.754 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.754 * [taylor]: Taking taylor expansion of im in im 0.755 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.755 * [taylor]: Taking taylor expansion of im in im 0.755 * [taylor]: Taking taylor expansion of 2 in im 0.771 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 im) 4) 1/12 (fma (/ -1 im) (/ -1 im) 2)) in (im) around 0 0.772 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 im) 4) 1/12 (fma (/ -1 im) (/ -1 im) 2)) in im 0.772 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 im) 4) 1/12) (fma (/ -1 im) (/ -1 im) 2)) 0.772 * [taylor]: Taking taylor expansion of (* (pow (/ -1 im) 4) 1/12) in im 0.772 * [taylor]: Taking taylor expansion of (pow (/ -1 im) 4) in im 0.772 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.772 * [taylor]: Taking taylor expansion of -1 in im 0.772 * [taylor]: Taking taylor expansion of im in im 0.772 * [taylor]: Taking taylor expansion of 1/12 in im 0.772 * [taylor]: Taking taylor expansion of (fma (/ -1 im) (/ -1 im) 2) in im 0.772 * [taylor]: Rewrote expression to (+ (* (/ -1 im) (/ -1 im)) 2) 0.772 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.772 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.772 * [taylor]: Taking taylor expansion of -1 in im 0.772 * [taylor]: Taking taylor expansion of im in im 0.773 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.773 * [taylor]: Taking taylor expansion of -1 in im 0.773 * [taylor]: Taking taylor expansion of im in im 0.773 * [taylor]: Taking taylor expansion of 2 in im 0.773 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 im) 4) 1/12 (fma (/ -1 im) (/ -1 im) 2)) in im 0.773 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 im) 4) 1/12) (fma (/ -1 im) (/ -1 im) 2)) 0.773 * [taylor]: Taking taylor expansion of (* (pow (/ -1 im) 4) 1/12) in im 0.773 * [taylor]: Taking taylor expansion of (pow (/ -1 im) 4) in im 0.773 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.773 * [taylor]: Taking taylor expansion of -1 in im 0.773 * [taylor]: Taking taylor expansion of im in im 0.773 * [taylor]: Taking taylor expansion of 1/12 in im 0.773 * [taylor]: Taking taylor expansion of (fma (/ -1 im) (/ -1 im) 2) in im 0.774 * [taylor]: Rewrote expression to (+ (* (/ -1 im) (/ -1 im)) 2) 0.774 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.774 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.774 * [taylor]: Taking taylor expansion of -1 in im 0.774 * [taylor]: Taking taylor expansion of im in im 0.774 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.774 * [taylor]: Taking taylor expansion of -1 in im 0.774 * [taylor]: Taking taylor expansion of im in im 0.774 * [taylor]: Taking taylor expansion of 2 in im 0.789 * * * [progress]: simplifying candidates 0.789 * [simplify]: Simplifying using # : (expm1 (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (log1p (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2))) (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2))) (+ (+ (log 0.5) (log (sin re))) (log (fma (pow im 4) 1/12 (fma im im 2)))) (+ (log (* 0.5 (sin re))) (log (fma (pow im 4) 1/12 (fma im im 2)))) (log (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (exp (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (fma (pow im 4) 1/12 (fma im im 2)) (fma (pow im 4) 1/12 (fma im im 2))) (fma (pow im 4) 1/12 (fma im im 2)))) (* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (fma (pow im 4) 1/12 (fma im im 2)) (fma (pow im 4) 1/12 (fma im im 2))) (fma (pow im 4) 1/12 (fma im im 2)))) (* (cbrt (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (cbrt (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2))))) (cbrt (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (* (* (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2))) (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (sqrt (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (sqrt (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (* (* 0.5 (sin re)) (* (pow im 4) 1/12)) (* (* 0.5 (sin re)) (fma im im 2)) (* (* (pow im 4) 1/12) (* 0.5 (sin re))) (* (fma im im 2) (* 0.5 (sin re))) (* (* 0.5 (sin re)) (* (cbrt (fma (pow im 4) 1/12 (fma im im 2))) (cbrt (fma (pow im 4) 1/12 (fma im im 2))))) (* (* 0.5 (sin re)) (sqrt (fma (pow im 4) 1/12 (fma im im 2)))) (* (* 0.5 (sin re)) 1) (* (sin re) (fma (pow im 4) 1/12 (fma im im 2))) (expm1 (fma (pow im 4) 1/12 (fma im im 2))) (log1p (fma (pow im 4) 1/12 (fma im im 2))) (* (pow im 4) 1/12) (log (fma (pow im 4) 1/12 (fma im im 2))) (exp (fma (pow im 4) 1/12 (fma im im 2))) (* (cbrt (fma (pow im 4) 1/12 (fma im im 2))) (cbrt (fma (pow im 4) 1/12 (fma im im 2)))) (cbrt (fma (pow im 4) 1/12 (fma im im 2))) (* (* (fma (pow im 4) 1/12 (fma im im 2)) (fma (pow im 4) 1/12 (fma im im 2))) (fma (pow im 4) 1/12 (fma im im 2))) (sqrt (fma (pow im 4) 1/12 (fma im im 2))) (sqrt (fma (pow im 4) 1/12 (fma im im 2))) (- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3))) (+ (* 0.5 (* (sin re) (pow im 2))) (+ (* 0.041666666666666664 (* (sin re) (pow im 4))) (* 1.0 (sin re)))) (+ (* 0.5 (* (sin re) (pow im 2))) (+ (* 0.041666666666666664 (* (sin re) (pow im 4))) (* 1.0 (sin re)))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) 0.793 * * [simplify]: iteration 0 : 193 enodes (cost 281 ) 0.798 * * [simplify]: iteration 1 : 939 enodes (cost 234 ) 0.819 * * [simplify]: iteration 2 : 5001 enodes (cost 234 ) 0.821 * [simplify]: Simplified to: (expm1 (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (log1p (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2))) (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2))) (log (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (log (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (log (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (exp (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (pow (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2))) 3) (pow (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2))) 3) (* (cbrt (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (cbrt (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2))))) (cbrt (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (pow (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2))) 3) (sqrt (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (sqrt (* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))) (* (* 0.5 (sin re)) (* (pow im 4) 1/12)) (* (* 0.5 (sin re)) (fma im im 2)) (* (* 0.5 (sin re)) (* (pow im 4) 1/12)) (* (* 0.5 (sin re)) (fma im im 2)) (* (* 0.5 (sin re)) (* (cbrt (fma (pow im 4) 1/12 (fma im im 2))) (cbrt (fma (pow im 4) 1/12 (fma im im 2))))) (* (* 0.5 (sin re)) (sqrt (fma (pow im 4) 1/12 (fma im im 2)))) (* 0.5 (sin re)) (* (sin re) (fma (pow im 4) 1/12 (fma im im 2))) (expm1 (fma (pow im 4) 1/12 (fma im im 2))) (log1p (fma (pow im 4) 1/12 (fma im im 2))) (* (pow im 4) 1/12) (log (fma (pow im 4) 1/12 (fma im im 2))) (exp (fma (pow im 4) 1/12 (fma im im 2))) (* (cbrt (fma (pow im 4) 1/12 (fma im im 2))) (cbrt (fma (pow im 4) 1/12 (fma im im 2)))) (cbrt (fma (pow im 4) 1/12 (fma im im 2))) (pow (fma (pow im 4) 1/12 (fma im im 2)) 3) (sqrt (fma (pow im 4) 1/12 (fma im im 2))) (sqrt (fma (pow im 4) 1/12 (fma im im 2))) (fma re 1.0 (- (* 0.5 (* re (pow im 2))) (* 0.16666666666666666 (pow re 3)))) (fma 0.5 (* (sin re) (pow im 2)) (fma 0.041666666666666664 (* (sin re) (pow im 4)) (* 1.0 (sin re)))) (fma 0.5 (* (sin re) (pow im 2)) (fma 0.041666666666666664 (* (sin re) (pow im 4)) (* 1.0 (sin re)))) (fma (pow im 4) 1/12 (fma im im 2)) (fma (pow im 4) 1/12 (fma im im 2)) (fma (pow im 4) 1/12 (fma im im 2)) 0.821 * * * [progress]: adding candidates to table 0.899 * * [progress]: iteration 3 / 4 0.899 * * * [progress]: picking best candidate 0.902 * * * * [pick]: Picked # 0.902 * * * [progress]: localizing error 0.914 * * * [progress]: generating rewritten candidates 0.914 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.943 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.961 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.972 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.987 * * * [progress]: generating series expansions 0.987 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.988 * [approximate]: Taking taylor expansion of (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.988 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) in im 0.988 * [taylor]: Taking taylor expansion of 0.5 in im 0.988 * [taylor]: Taking taylor expansion of (* (sin re) (+ (exp im) (exp (- im)))) in im 0.988 * [taylor]: Taking taylor expansion of (sin re) in im 0.988 * [taylor]: Taking taylor expansion of re in im 0.988 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.988 * [taylor]: Taking taylor expansion of (exp im) in im 0.988 * [taylor]: Taking taylor expansion of im in im 0.988 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.988 * [taylor]: Taking taylor expansion of (- im) in im 0.988 * [taylor]: Taking taylor expansion of im in im 0.989 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) in re 0.989 * [taylor]: Taking taylor expansion of 0.5 in re 0.989 * [taylor]: Taking taylor expansion of (* (sin re) (+ (exp im) (exp (- im)))) in re 0.989 * [taylor]: Taking taylor expansion of (sin re) in re 0.989 * [taylor]: Taking taylor expansion of re in re 0.989 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.989 * [taylor]: Taking taylor expansion of (exp im) in re 0.989 * [taylor]: Taking taylor expansion of im in re 0.989 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.989 * [taylor]: Taking taylor expansion of (- im) in re 0.989 * [taylor]: Taking taylor expansion of im in re 0.989 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) in re 0.989 * [taylor]: Taking taylor expansion of 0.5 in re 0.989 * [taylor]: Taking taylor expansion of (* (sin re) (+ (exp im) (exp (- im)))) in re 0.989 * [taylor]: Taking taylor expansion of (sin re) in re 0.989 * [taylor]: Taking taylor expansion of re in re 0.989 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.989 * [taylor]: Taking taylor expansion of (exp im) in re 0.989 * [taylor]: Taking taylor expansion of im in re 0.989 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.989 * [taylor]: Taking taylor expansion of (- im) in re 0.989 * [taylor]: Taking taylor expansion of im in re 0.990 * [taylor]: Taking taylor expansion of 0 in im 0.992 * [taylor]: Taking taylor expansion of (+ (* 0.5 (exp im)) (* 0.5 (exp (- im)))) in im 0.992 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.992 * [taylor]: Taking taylor expansion of 0.5 in im 0.992 * [taylor]: Taking taylor expansion of (exp im) in im 0.992 * [taylor]: Taking taylor expansion of im in im 0.992 * [taylor]: Taking taylor expansion of (* 0.5 (exp (- im))) in im 0.992 * [taylor]: Taking taylor expansion of 0.5 in im 0.992 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.992 * [taylor]: Taking taylor expansion of (- im) in im 0.992 * [taylor]: Taking taylor expansion of im in im 0.997 * [taylor]: Taking taylor expansion of 0 in im 1.006 * [taylor]: Taking taylor expansion of (- (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (- im))))) in im 1.006 * [taylor]: Taking taylor expansion of (+ (* 0.08333333333333333 (exp im)) (* 0.08333333333333333 (exp (- im)))) in im 1.006 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (exp im)) in im 1.006 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 1.006 * [taylor]: Taking taylor expansion of (exp im) in im 1.006 * [taylor]: Taking taylor expansion of im in im 1.006 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (exp (- im))) in im 1.006 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 1.006 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.006 * [taylor]: Taking taylor expansion of (- im) in im 1.006 * [taylor]: Taking taylor expansion of im in im 1.014 * [approximate]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 1.014 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.014 * [taylor]: Taking taylor expansion of 0.5 in im 1.014 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.014 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 1.014 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.014 * [taylor]: Taking taylor expansion of re in im 1.015 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.015 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.015 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.015 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.015 * [taylor]: Taking taylor expansion of im in im 1.015 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.015 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.015 * [taylor]: Taking taylor expansion of im in im 1.015 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.016 * [taylor]: Taking taylor expansion of 0.5 in re 1.016 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.016 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 1.016 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.016 * [taylor]: Taking taylor expansion of re in re 1.016 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.016 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.016 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.016 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.016 * [taylor]: Taking taylor expansion of im in re 1.016 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.016 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.016 * [taylor]: Taking taylor expansion of im in re 1.016 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.016 * [taylor]: Taking taylor expansion of 0.5 in re 1.016 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.016 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 1.016 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.016 * [taylor]: Taking taylor expansion of re in re 1.017 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.017 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.017 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.017 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.017 * [taylor]: Taking taylor expansion of im in re 1.017 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.017 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.017 * [taylor]: Taking taylor expansion of im in re 1.017 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.017 * [taylor]: Taking taylor expansion of 0.5 in im 1.017 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.017 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 1.017 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.017 * [taylor]: Taking taylor expansion of re in im 1.017 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.017 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.017 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.018 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.018 * [taylor]: Taking taylor expansion of im in im 1.018 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.018 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.018 * [taylor]: Taking taylor expansion of im in im 1.021 * [taylor]: Taking taylor expansion of 0 in im 1.027 * [taylor]: Taking taylor expansion of 0 in im 1.039 * [taylor]: Taking taylor expansion of 0 in im 1.039 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in (re im) around 0 1.039 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in im 1.039 * [taylor]: Taking taylor expansion of 0.5 in im 1.039 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 1.039 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.039 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.040 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.040 * [taylor]: Taking taylor expansion of -1 in im 1.040 * [taylor]: Taking taylor expansion of im in im 1.040 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.040 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.040 * [taylor]: Taking taylor expansion of im in im 1.040 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 1.040 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.040 * [taylor]: Taking taylor expansion of -1 in im 1.040 * [taylor]: Taking taylor expansion of re in im 1.040 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in re 1.040 * [taylor]: Taking taylor expansion of 0.5 in re 1.040 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 1.040 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.040 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.040 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.040 * [taylor]: Taking taylor expansion of -1 in re 1.040 * [taylor]: Taking taylor expansion of im in re 1.041 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.041 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.041 * [taylor]: Taking taylor expansion of im in re 1.041 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 1.041 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.041 * [taylor]: Taking taylor expansion of -1 in re 1.041 * [taylor]: Taking taylor expansion of re in re 1.041 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in re 1.041 * [taylor]: Taking taylor expansion of 0.5 in re 1.041 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in re 1.041 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.041 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.041 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.041 * [taylor]: Taking taylor expansion of -1 in re 1.041 * [taylor]: Taking taylor expansion of im in re 1.041 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.041 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.041 * [taylor]: Taking taylor expansion of im in re 1.041 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 1.041 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.041 * [taylor]: Taking taylor expansion of -1 in re 1.041 * [taylor]: Taking taylor expansion of re in re 1.042 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re)))) in im 1.042 * [taylor]: Taking taylor expansion of 0.5 in im 1.042 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (sin (/ -1 re))) in im 1.042 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.042 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.042 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.042 * [taylor]: Taking taylor expansion of -1 in im 1.042 * [taylor]: Taking taylor expansion of im in im 1.043 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.043 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.043 * [taylor]: Taking taylor expansion of im in im 1.043 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 1.043 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.043 * [taylor]: Taking taylor expansion of -1 in im 1.043 * [taylor]: Taking taylor expansion of re in im 1.045 * [taylor]: Taking taylor expansion of 0 in im 1.051 * [taylor]: Taking taylor expansion of 0 in im 1.058 * [taylor]: Taking taylor expansion of 0 in im 1.058 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.059 * [approximate]: Taking taylor expansion of (* 0.5 (* (sin re) (sqrt (+ (exp im) (exp (- im)))))) in (re im) around 0 1.059 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (sqrt (+ (exp im) (exp (- im)))))) in im 1.059 * [taylor]: Taking taylor expansion of 0.5 in im 1.059 * [taylor]: Taking taylor expansion of (* (sin re) (sqrt (+ (exp im) (exp (- im))))) in im 1.059 * [taylor]: Taking taylor expansion of (sin re) in im 1.059 * [taylor]: Taking taylor expansion of re in im 1.059 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 1.059 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.059 * [taylor]: Taking taylor expansion of (exp im) in im 1.059 * [taylor]: Taking taylor expansion of im in im 1.059 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.059 * [taylor]: Taking taylor expansion of (- im) in im 1.059 * [taylor]: Taking taylor expansion of im in im 1.062 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (sqrt (+ (exp im) (exp (- im)))))) in re 1.062 * [taylor]: Taking taylor expansion of 0.5 in re 1.062 * [taylor]: Taking taylor expansion of (* (sin re) (sqrt (+ (exp im) (exp (- im))))) in re 1.062 * [taylor]: Taking taylor expansion of (sin re) in re 1.062 * [taylor]: Taking taylor expansion of re in re 1.062 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in re 1.062 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.062 * [taylor]: Taking taylor expansion of (exp im) in re 1.062 * [taylor]: Taking taylor expansion of im in re 1.062 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.063 * [taylor]: Taking taylor expansion of (- im) in re 1.063 * [taylor]: Taking taylor expansion of im in re 1.064 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin re) (sqrt (+ (exp im) (exp (- im)))))) in re 1.064 * [taylor]: Taking taylor expansion of 0.5 in re 1.064 * [taylor]: Taking taylor expansion of (* (sin re) (sqrt (+ (exp im) (exp (- im))))) in re 1.064 * [taylor]: Taking taylor expansion of (sin re) in re 1.064 * [taylor]: Taking taylor expansion of re in re 1.064 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in re 1.064 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.064 * [taylor]: Taking taylor expansion of (exp im) in re 1.064 * [taylor]: Taking taylor expansion of im in re 1.065 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.065 * [taylor]: Taking taylor expansion of (- im) in re 1.065 * [taylor]: Taking taylor expansion of im in re 1.067 * [taylor]: Taking taylor expansion of 0 in im 1.068 * [taylor]: Taking taylor expansion of (* 0.5 (sqrt (+ (exp im) (exp (- im))))) in im 1.068 * [taylor]: Taking taylor expansion of 0.5 in im 1.068 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 1.068 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.068 * [taylor]: Taking taylor expansion of (exp im) in im 1.068 * [taylor]: Taking taylor expansion of im in im 1.068 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.068 * [taylor]: Taking taylor expansion of (- im) in im 1.068 * [taylor]: Taking taylor expansion of im in im 1.076 * [taylor]: Taking taylor expansion of 0 in im 1.082 * [taylor]: Taking taylor expansion of (- (* 0.08333333333333333 (sqrt (+ (exp im) (exp (- im)))))) in im 1.083 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (sqrt (+ (exp im) (exp (- im))))) in im 1.083 * [taylor]: Taking taylor expansion of 0.08333333333333333 in im 1.083 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 1.083 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.083 * [taylor]: Taking taylor expansion of (exp im) in im 1.083 * [taylor]: Taking taylor expansion of im in im 1.083 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.083 * [taylor]: Taking taylor expansion of (- im) in im 1.083 * [taylor]: Taking taylor expansion of im in im 1.098 * [approximate]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0 1.098 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.098 * [taylor]: Taking taylor expansion of 0.5 in im 1.098 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.098 * [taylor]: Taking taylor expansion of (sin (/ 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 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.098 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 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 (/ 1 im) in im 1.098 * [taylor]: Taking taylor expansion of im in im 1.099 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.099 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.099 * [taylor]: Taking taylor expansion of im in im 1.100 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 1.100 * [taylor]: Taking taylor expansion of 0.5 in re 1.100 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.100 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 1.100 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.100 * [taylor]: Taking taylor expansion of re in re 1.100 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.100 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.100 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.100 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.100 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.100 * [taylor]: Taking taylor expansion of im in re 1.100 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.100 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.100 * [taylor]: Taking taylor expansion of im in re 1.102 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 1.102 * [taylor]: Taking taylor expansion of 0.5 in re 1.102 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.102 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in re 1.102 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.102 * [taylor]: Taking taylor expansion of re in re 1.103 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.103 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.103 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.103 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.103 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.103 * [taylor]: Taking taylor expansion of im in re 1.103 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.103 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.103 * [taylor]: Taking taylor expansion of im in re 1.105 * [taylor]: Taking taylor expansion of (* 0.5 (* (sin (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.105 * [taylor]: Taking taylor expansion of 0.5 in im 1.105 * [taylor]: Taking taylor expansion of (* (sin (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.105 * [taylor]: Taking taylor expansion of (sin (/ 1 re)) in im 1.105 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.105 * [taylor]: Taking taylor expansion of re in im 1.105 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.105 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.105 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.105 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.105 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.106 * [taylor]: Taking taylor expansion of im in im 1.106 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.106 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.106 * [taylor]: Taking taylor expansion of im in im 1.108 * [taylor]: Taking taylor expansion of 0 in im 1.114 * [taylor]: Taking taylor expansion of 0 in im 1.127 * [taylor]: Taking taylor expansion of 0 in im 1.127 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re)))) in (re im) around 0 1.127 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re)))) in im 1.127 * [taylor]: Taking taylor expansion of 0.5 in im 1.127 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re))) in im 1.127 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.127 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.127 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.127 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.127 * [taylor]: Taking taylor expansion of -1 in im 1.127 * [taylor]: Taking taylor expansion of im in im 1.128 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.128 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.128 * [taylor]: Taking taylor expansion of im in im 1.128 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 1.129 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.129 * [taylor]: Taking taylor expansion of -1 in im 1.129 * [taylor]: Taking taylor expansion of re in im 1.129 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re)))) in re 1.129 * [taylor]: Taking taylor expansion of 0.5 in re 1.129 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re))) in re 1.129 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.129 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.129 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.129 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.129 * [taylor]: Taking taylor expansion of -1 in re 1.129 * [taylor]: Taking taylor expansion of im in re 1.129 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.129 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.129 * [taylor]: Taking taylor expansion of im in re 1.131 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 1.131 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.131 * [taylor]: Taking taylor expansion of -1 in re 1.131 * [taylor]: Taking taylor expansion of re in re 1.131 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re)))) in re 1.131 * [taylor]: Taking taylor expansion of 0.5 in re 1.131 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re))) in re 1.131 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.131 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.131 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.131 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.131 * [taylor]: Taking taylor expansion of -1 in re 1.131 * [taylor]: Taking taylor expansion of im in re 1.131 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.131 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.131 * [taylor]: Taking taylor expansion of im in re 1.133 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in re 1.133 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.133 * [taylor]: Taking taylor expansion of -1 in re 1.133 * [taylor]: Taking taylor expansion of re in re 1.134 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re)))) in im 1.134 * [taylor]: Taking taylor expansion of 0.5 in im 1.134 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (sin (/ -1 re))) in im 1.134 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.134 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.134 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.134 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.134 * [taylor]: Taking taylor expansion of -1 in im 1.134 * [taylor]: Taking taylor expansion of im in im 1.134 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.134 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.134 * [taylor]: Taking taylor expansion of im in im 1.135 * [taylor]: Taking taylor expansion of (sin (/ -1 re)) in im 1.135 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.135 * [taylor]: Taking taylor expansion of -1 in im 1.135 * [taylor]: Taking taylor expansion of re in im 1.136 * [taylor]: Taking taylor expansion of 0 in im 1.141 * [taylor]: Taking taylor expansion of 0 in im 1.149 * [taylor]: Taking taylor expansion of 0 in im 1.150 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.150 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 1.150 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.150 * [taylor]: Taking taylor expansion of (exp im) in im 1.150 * [taylor]: Taking taylor expansion of im in im 1.150 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.150 * [taylor]: Taking taylor expansion of (- im) in im 1.150 * [taylor]: Taking taylor expansion of im in im 1.151 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.151 * [taylor]: Taking taylor expansion of (exp im) in im 1.151 * [taylor]: Taking taylor expansion of im in im 1.151 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.151 * [taylor]: Taking taylor expansion of (- im) in im 1.151 * [taylor]: Taking taylor expansion of im in im 1.165 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 1.165 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.165 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.165 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.165 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.165 * [taylor]: Taking taylor expansion of im in im 1.166 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.166 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.166 * [taylor]: Taking taylor expansion of im in im 1.166 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.166 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.166 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.166 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.166 * [taylor]: Taking taylor expansion of im in im 1.167 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.167 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.167 * [taylor]: Taking taylor expansion of im in im 1.169 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.169 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.169 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.169 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.169 * [taylor]: Taking taylor expansion of -1 in im 1.169 * [taylor]: Taking taylor expansion of im in im 1.170 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.170 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.170 * [taylor]: Taking taylor expansion of im in im 1.170 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.170 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.170 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.170 * [taylor]: Taking taylor expansion of -1 in im 1.170 * [taylor]: Taking taylor expansion of im in im 1.170 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.170 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.170 * [taylor]: Taking taylor expansion of im in im 1.172 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.172 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 1.173 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.173 * [taylor]: Taking taylor expansion of (exp im) in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.173 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.173 * [taylor]: Taking taylor expansion of (- im) in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.173 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.173 * [taylor]: Taking taylor expansion of (exp im) in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.173 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.173 * [taylor]: Taking taylor expansion of (- im) in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.188 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 1.188 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.188 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.188 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.188 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.188 * [taylor]: Taking taylor expansion of im in im 1.188 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.188 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.188 * [taylor]: Taking taylor expansion of im in im 1.189 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.189 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.189 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.189 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.189 * [taylor]: Taking taylor expansion of im in im 1.189 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.189 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.189 * [taylor]: Taking taylor expansion of im in im 1.191 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.192 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.192 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.192 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.192 * [taylor]: Taking taylor expansion of -1 in im 1.192 * [taylor]: Taking taylor expansion of im in im 1.192 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.192 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.192 * [taylor]: Taking taylor expansion of im in im 1.192 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.192 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.192 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.192 * [taylor]: Taking taylor expansion of -1 in im 1.192 * [taylor]: Taking taylor expansion of im in im 1.193 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.193 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.193 * [taylor]: Taking taylor expansion of im in im 1.195 * * * [progress]: simplifying candidates 1.197 * [simplify]: Simplifying using # : (expm1 (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (log1p (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (+ (+ (+ (log 0.5) (log (sin re))) (log (sqrt (+ (exp (- 0.0 im)) (exp im))))) (log (sqrt (+ (exp (- 0.0 im)) (exp im))))) (+ (+ (log (* 0.5 (sin re))) (log (sqrt (+ (exp (- 0.0 im)) (exp im))))) (log (sqrt (+ (exp (- 0.0 im)) (exp im))))) (+ (log (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (log (sqrt (+ (exp (- 0.0 im)) (exp im))))) (log (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (exp (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (cbrt (* (* (* 0.5 (sin re)) (sqrt 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(exp im)) (* (exp (- 0.0 im)) (exp im))))) (sqrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))) (* (* (* 0.5 (sin re)) (sqrt (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))) (sqrt (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im))))) (* (sqrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im))))) (sqrt (- (exp (- 0.0 im)) (exp im)))) (* (* (* 0.5 (sin re)) (sqrt (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im))))) (sqrt (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))) (* (sqrt (- (exp (- 0.0 im)) (exp im))) (sqrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))) (* (* (* 0.5 (sin re)) (sqrt (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im))))) (sqrt (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im))))) (* (sqrt (- (exp (- 0.0 im)) (exp im))) (sqrt (- (exp (- 0.0 im)) (exp im)))) (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))) (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt 1)) (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt 1)) (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) 1) (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))) (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im))))) (* (* (* 0.5 (sin re)) (sqrt (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* (* 0.5 (sin re)) (sqrt (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (expm1 (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (log1p (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (+ (+ (log 0.5) (log (sin re))) (log (sqrt (+ (exp (- 0.0 im)) (exp im))))) (+ (log (* 0.5 (sin re))) (log (sqrt (+ (exp (- 0.0 im)) (exp im))))) (log (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (exp (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (cbrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (cbrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* 0.5 (sin re)) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (* (* 0.5 (sin re)) (sqrt (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))) (* (* 0.5 (sin re)) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* 0.5 (sin re)) (sqrt 1)) (* (* 0.5 (sin re)) (sqrt 1)) (* (* 0.5 (sin re)) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* 0.5 (sin re)) 1) (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (* 0.5 (sin re)) (sqrt (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))) (* (* 0.5 (sin re)) (sqrt (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im))))) (expm1 (+ (exp (- 0.0 im)) (exp im))) (log1p (+ (exp (- 0.0 im)) (exp im))) (* (exp (exp (- 0.0 im))) (exp (exp im))) (log (+ (exp (- 0.0 im)) (exp im))) (exp (+ (exp (- 0.0 im)) (exp im))) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (+ (exp (- 0.0 im)) (exp im))) (* (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im))) (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))) (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im))) (- (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im)) (expm1 (+ (exp (- 0.0 im)) (exp im))) (log1p (+ (exp (- 0.0 im)) (exp im))) (* (exp (exp (- 0.0 im))) (exp (exp im))) (log (+ (exp (- 0.0 im)) (exp im))) (exp (+ (exp (- 0.0 im)) (exp im))) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (+ (exp (- 0.0 im)) (exp im))) (* (* (+ (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im))) (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))) (- (* (exp (- 0.0 im)) (exp (- 0.0 im))) (* (exp im) (exp im))) (- (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im)) (- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3))) (* 0.5 (* (sin re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (sin re))) (- (+ (* 0.5 (* re (sqrt 2))) (* 0.25 (/ (* re (pow im 2)) (sqrt 2)))) (* 0.08333333333333333 (* (pow re 3) (sqrt 2)))) (* 0.5 (* (sin re) (sqrt (+ (exp im) (exp (- im)))))) (* 0.5 (* (sqrt (+ (exp (* -1 im)) (exp im))) (sin re))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 1.204 * * [simplify]: iteration 0 : 423 enodes (cost 1155 ) 1.213 * * [simplify]: iteration 1 : 1909 enodes (cost 962 ) 1.247 * * [simplify]: iteration 2 : 5001 enodes (cost 951 ) 1.252 * [simplify]: Simplified to: (expm1 (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (log1p (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) (+ (log (* 0.5 (sin re))) (log (+ (exp (- 0.0 im)) (exp im)))) (+ (log (* 0.5 (sin re))) (log (+ (exp (- 0.0 im)) (exp im)))) (+ (log (* 0.5 (sin re))) (log (+ (exp (- 0.0 im)) (exp im)))) (+ (log (* 0.5 (sin re))) (log (+ (exp (- 0.0 im)) (exp im)))) (pow (exp (* 0.5 (sin re))) (+ (exp (- 0.0 im)) (exp im))) (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3) (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3) (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3) (* (cbrt (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (cbrt (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3) (sqrt (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (* (* (* 0.5 (sin 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im)) (exp im))) (pow (+ (exp (- 0.0 im)) (exp im)) 3) (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (fma (exp im) (- (exp im) (exp (- 0.0 im))) (exp (+ (- 0.0 im) (- 0.0 im)))) (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (- (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im)) (expm1 (+ (exp (- 0.0 im)) (exp im))) (log1p (+ (exp (- 0.0 im)) (exp im))) (exp (+ (exp (- 0.0 im)) (exp im))) (log (+ (exp (- 0.0 im)) (exp im))) (exp (+ (exp (- 0.0 im)) (exp im))) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (+ (exp (- 0.0 im)) (exp im))) (pow (+ (exp (- 0.0 im)) (exp im)) 3) (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)) (fma (exp im) (- (exp im) (exp (- 0.0 im))) (exp (+ (- 0.0 im) (- 0.0 im)))) (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (- (exp (- 0.0 im)) (exp im)) (+ (exp (- 0.0 im)) (exp im)) (fma re 1.0 (- (* 0.5 (* re (pow im 2))) (* 0.16666666666666666 (pow re 3)))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (sin re))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (sin re))) (fma (* 0.5 re) (sqrt 2) (- (* 0.25 (/ (* re (pow im 2)) (sqrt 2))) (* 0.08333333333333333 (* (pow re 3) (sqrt 2))))) (* 0.5 (* (sqrt (+ (exp (* -1 im)) (exp im))) (sin re))) (* 0.5 (* (sqrt (+ (exp (* -1 im)) (exp im))) (sin re))) (fma (pow im 4) 1/12 (fma im im 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (fma (pow im 4) 1/12 (fma im im 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 1.255 * * * [progress]: adding candidates to table 1.602 * [progress]: [Phase 3 of 3] Extracting. 1.602 * * [regime]: Finding splitpoints for: (# # #) 1.602 * * * [regime-changes]: Trying 6 branch expressions: ((+ (exp (- 0.0 im)) (exp im)) (sin re) (* 0.5 (sin re)) (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) im re) 1.603 * * * * [regimes]: Trying to branch on (+ (exp (- 0.0 im)) (exp im)) from (# # #) 1.620 * * * * [regimes]: Trying to branch on (sin re) from (# # #) 1.641 * * * * [regimes]: Trying to branch on (* 0.5 (sin re)) from (# # #) 1.660 * * * * [regimes]: Trying to branch on (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) from (# # #) 1.689 * * * * [regimes]: Trying to branch on im from (# # #) 1.704 * * * * [regimes]: Trying to branch on re from (# # #) 1.721 * * * [regime]: Found split indices: #