18.723 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.093 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.095 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.096 * * [simplify]: iteration 1 : 60 enodes (cost 7 ) 0.098 * * [simplify]: iteration 2 : 112 enodes (cost 7 ) 0.100 * * [simplify]: iteration 3 : 236 enodes (cost 7 ) 0.103 * * [simplify]: iteration 4 : 520 enodes (cost 6 ) 0.107 * * [simplify]: iteration 5 : 702 enodes (cost 6 ) 0.115 * * [simplify]: iteration 6 : 1514 enodes (cost 6 ) 0.128 * * [simplify]: iteration 7 : 2284 enodes (cost 6 ) 0.165 * * [simplify]: iteration 8 : 5001 enodes (cost 6 ) 0.166 * [simplify]: Simplified to: (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 0.168 * * [progress]: iteration 1 / 4 0.168 * * * [progress]: picking best candidate 0.170 * * * * [pick]: Picked # 0.170 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.184 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.190 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.201 * * * [progress]: generating series expansions 0.201 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.201 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.201 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.201 * [taylor]: Taking taylor expansion of (exp im) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.201 * [taylor]: Taking taylor expansion of (- im) in im 0.201 * [taylor]: Taking taylor expansion of im 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 0.216 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.216 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.216 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.216 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.216 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.216 * [taylor]: Taking taylor expansion of im in im 0.217 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.217 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.217 * [taylor]: Taking taylor expansion of im in im 0.217 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.217 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.217 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.217 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.217 * [taylor]: Taking taylor expansion of im in im 0.218 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.218 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.218 * [taylor]: Taking taylor expansion of im in im 0.220 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.220 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.220 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.220 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.220 * [taylor]: Taking taylor expansion of -1 in im 0.220 * [taylor]: Taking taylor expansion of im in im 0.220 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.221 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.221 * [taylor]: Taking taylor expansion of im in im 0.221 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.221 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.221 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.221 * [taylor]: Taking taylor expansion of -1 in im 0.221 * [taylor]: Taking taylor expansion of im in im 0.221 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.221 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.221 * [taylor]: Taking taylor expansion of im in im 0.223 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.223 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.223 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.223 * [taylor]: Taking taylor expansion of 0.5 in im 0.223 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.223 * [taylor]: Taking taylor expansion of (cos re) in im 0.223 * [taylor]: Taking taylor expansion of re in im 0.223 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.223 * [taylor]: Taking taylor expansion of (exp im) in im 0.224 * [taylor]: Taking taylor expansion of im in im 0.224 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.224 * [taylor]: Taking taylor expansion of (- im) in im 0.224 * [taylor]: Taking taylor expansion of im in im 0.224 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.224 * [taylor]: Taking taylor expansion of 0.5 in re 0.224 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.224 * [taylor]: Taking taylor expansion of (cos re) in re 0.224 * [taylor]: Taking taylor expansion of re in re 0.224 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.224 * [taylor]: Taking taylor expansion of (exp im) in re 0.224 * [taylor]: Taking taylor expansion of im in re 0.224 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.224 * [taylor]: Taking taylor expansion of (- im) in re 0.224 * [taylor]: Taking taylor expansion of im in re 0.224 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.224 * [taylor]: Taking taylor expansion of 0.5 in re 0.224 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.224 * [taylor]: Taking taylor expansion of (cos re) in re 0.224 * [taylor]: Taking taylor expansion of re in re 0.224 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.224 * [taylor]: Taking taylor expansion of (exp im) in re 0.224 * [taylor]: Taking taylor expansion of im in re 0.224 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.224 * [taylor]: Taking taylor expansion of (- im) in re 0.224 * [taylor]: Taking taylor expansion of im in re 0.225 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.225 * [taylor]: Taking taylor expansion of 0.5 in im 0.225 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) 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 (exp (- im)) in im 0.225 * [taylor]: Taking taylor expansion of (- im) in im 0.225 * [taylor]: Taking taylor expansion of im in im 0.228 * [taylor]: Taking taylor expansion of 0 in im 0.234 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.234 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.234 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.234 * [taylor]: Taking taylor expansion of 0.25 in im 0.234 * [taylor]: Taking taylor expansion of (exp im) in im 0.234 * [taylor]: Taking taylor expansion of im in im 0.234 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.234 * [taylor]: Taking taylor expansion of 0.25 in im 0.234 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.234 * [taylor]: Taking taylor expansion of (- im) in im 0.234 * [taylor]: Taking taylor expansion of im in im 0.240 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.240 * [taylor]: Taking taylor expansion of 0.5 in im 0.240 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.240 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.240 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.240 * [taylor]: Taking taylor expansion of re in im 0.240 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.240 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.240 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.240 * [taylor]: Taking taylor expansion of im in im 0.241 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.241 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.241 * [taylor]: Taking taylor expansion of im in im 0.241 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.241 * [taylor]: Taking taylor expansion of 0.5 in re 0.241 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.241 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.241 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.241 * [taylor]: Taking taylor expansion of re in re 0.242 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.242 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.242 * [taylor]: Taking taylor expansion of im in re 0.242 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.242 * [taylor]: Taking taylor expansion of im in re 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.242 * [taylor]: Taking taylor expansion of 0.5 in re 0.242 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.242 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.242 * [taylor]: Taking taylor expansion of re in re 0.242 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.242 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.242 * [taylor]: Taking taylor expansion of im in re 0.242 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.243 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.243 * [taylor]: Taking taylor expansion of im in re 0.243 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.243 * [taylor]: Taking taylor expansion of 0.5 in im 0.243 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.243 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.243 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.243 * [taylor]: Taking taylor expansion of re in im 0.243 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.243 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.243 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.243 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.243 * [taylor]: Taking taylor expansion of im in im 0.244 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.244 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.244 * [taylor]: Taking taylor expansion of im in im 0.247 * [taylor]: Taking taylor expansion of 0 in im 0.253 * [taylor]: Taking taylor expansion of 0 in im 0.261 * [taylor]: Taking taylor expansion of 0 in im 0.262 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.262 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.262 * [taylor]: Taking taylor expansion of 0.5 in im 0.262 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.267 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.267 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.267 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.267 * [taylor]: Taking taylor expansion of -1 in im 0.267 * [taylor]: Taking taylor expansion of im in im 0.268 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.268 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.268 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.268 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.268 * [taylor]: Taking taylor expansion of -1 in im 0.268 * [taylor]: Taking taylor expansion of re in im 0.268 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.268 * [taylor]: Taking taylor expansion of 0.5 in re 0.268 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.268 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.268 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.268 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.268 * [taylor]: Taking taylor expansion of -1 in re 0.268 * [taylor]: Taking taylor expansion of im in re 0.268 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.269 * [taylor]: Taking taylor expansion of im in re 0.269 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.269 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.269 * [taylor]: Taking taylor expansion of -1 in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.269 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.269 * [taylor]: Taking taylor expansion of 0.5 in re 0.269 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.269 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.269 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.269 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.269 * [taylor]: Taking taylor expansion of -1 in re 0.269 * [taylor]: Taking taylor expansion of im in re 0.269 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.269 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.269 * [taylor]: Taking taylor expansion of im in re 0.269 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.269 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.269 * [taylor]: Taking taylor expansion of -1 in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.270 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.270 * [taylor]: Taking taylor expansion of 0.5 in im 0.270 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.270 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.270 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.270 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.270 * [taylor]: Taking taylor expansion of -1 in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.270 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.271 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.271 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.271 * [taylor]: Taking taylor expansion of -1 in im 0.271 * [taylor]: Taking taylor expansion of re in im 0.273 * [taylor]: Taking taylor expansion of 0 in im 0.279 * [taylor]: Taking taylor expansion of 0 in im 0.286 * [taylor]: Taking taylor expansion of 0 in im 0.286 * * * [progress]: simplifying candidates 0.287 * [simplify]: Simplifying using # : (expm1 (+ (exp (- im)) (exp im))) (log1p (+ (exp (- im)) (exp im))) (* (exp (exp (- im))) (exp (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))) (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (expm1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log1p (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (- im)) (exp im)))) (+ (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (exp (- im))) (* (* 0.5 (cos re)) (exp im)) (* (exp (- im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.291 * * [simplify]: iteration 0 : 258 enodes (cost 374 ) 0.297 * * [simplify]: iteration 1 : 1276 enodes (cost 311 ) 0.324 * * [simplify]: iteration 2 : 5002 enodes (cost 307 ) 0.326 * [simplify]: Simplified to: (expm1 (+ (exp (- im)) (exp im))) (log1p (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (pow (+ (exp (* -1 im)) (exp im)) 3) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)) (fma (- (exp im)) (exp im) (pow (exp -1) (* 2 im))) (- (exp (- im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (expm1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log1p (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (cos re) (+ (exp im) (exp (- im)))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* (fma (- (exp im)) (exp im) (pow (exp -1) (* 2 im))) (cos re)) 0.5) (fma (pow im 4) 1/12 (fma im im 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (fma (pow im 2) 0.5 (- 1.0 (* 0.5 (pow re 2)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.326 * * * [progress]: adding candidates to table 0.428 * * [progress]: iteration 2 / 4 0.428 * * * [progress]: picking best candidate 0.431 * * * * [pick]: Picked # 0.431 * * * [progress]: localizing error 0.447 * * * [progress]: generating rewritten candidates 0.447 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.450 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.454 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.454 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.461 * * * [progress]: generating series expansions 0.462 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.462 * [approximate]: Taking taylor expansion of (sqrt (exp (- im))) in (im) around 0 0.462 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in im 0.462 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.462 * [taylor]: Taking taylor expansion of (- im) in im 0.462 * [taylor]: Taking taylor expansion of im in im 0.464 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in im 0.464 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.464 * [taylor]: Taking taylor expansion of (- im) in im 0.464 * [taylor]: Taking taylor expansion of im in im 0.469 * [approximate]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in (im) around 0 0.469 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in im 0.469 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.469 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.469 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.469 * [taylor]: Taking taylor expansion of im in im 0.470 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in im 0.470 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.470 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.470 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.470 * [taylor]: Taking taylor expansion of im in im 0.473 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in (im) around 0 0.473 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 0.473 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.473 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.473 * [taylor]: Taking taylor expansion of im in im 0.474 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 0.474 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.474 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.474 * [taylor]: Taking taylor expansion of im in im 0.477 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.477 * [approximate]: Taking taylor expansion of (sqrt (exp (- im))) in (im) around 0 0.477 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in im 0.477 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.477 * [taylor]: Taking taylor expansion of (- im) in im 0.477 * [taylor]: Taking taylor expansion of im in im 0.479 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in im 0.479 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.479 * [taylor]: Taking taylor expansion of (- im) in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.483 * [approximate]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in (im) around 0 0.483 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in im 0.483 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.483 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.483 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.483 * [taylor]: Taking taylor expansion of im in im 0.484 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in im 0.484 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.484 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.484 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.484 * [taylor]: Taking taylor expansion of im in im 0.487 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in (im) around 0 0.487 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 0.487 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.487 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.487 * [taylor]: Taking taylor expansion of im in im 0.488 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 0.488 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.488 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.488 * [taylor]: Taking taylor expansion of im in im 0.491 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.491 * [approximate]: Taking taylor expansion of (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) in (im) around 0 0.491 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) in im 0.491 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (- im))) (sqrt (exp (- im)))) (exp im)) 0.491 * [taylor]: Taking taylor expansion of (* (sqrt (exp (- im))) (sqrt (exp (- im)))) in im 0.491 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in im 0.491 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.491 * [taylor]: Taking taylor expansion of (- im) in im 0.491 * [taylor]: Taking taylor expansion of im in im 0.493 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in im 0.493 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.493 * [taylor]: Taking taylor expansion of (- im) in im 0.493 * [taylor]: Taking taylor expansion of im in im 0.495 * [taylor]: Taking taylor expansion of (exp im) in im 0.495 * [taylor]: Taking taylor expansion of im in im 0.495 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) in im 0.495 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (- im))) (sqrt (exp (- im)))) (exp im)) 0.495 * [taylor]: Taking taylor expansion of (* (sqrt (exp (- im))) (sqrt (exp (- im)))) in im 0.495 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in im 0.495 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.495 * [taylor]: Taking taylor expansion of (- im) in im 0.495 * [taylor]: Taking taylor expansion of im in im 0.497 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in im 0.497 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.497 * [taylor]: Taking taylor expansion of (- im) in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.499 * [taylor]: Taking taylor expansion of (exp im) in im 0.499 * [taylor]: Taking taylor expansion of im in im 0.525 * [approximate]: Taking taylor expansion of (fma (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im)))) (exp (/ 1 im))) in (im) around 0 0.525 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im)))) (exp (/ 1 im))) in im 0.525 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im))))) (exp (/ 1 im))) 0.525 * [taylor]: Taking taylor expansion of (* (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im))))) in im 0.526 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in im 0.526 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.526 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.526 * [taylor]: Taking taylor expansion of im in im 0.532 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in im 0.532 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.532 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.532 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.532 * [taylor]: Taking taylor expansion of im in im 0.532 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.532 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.532 * [taylor]: Taking taylor expansion of im in im 0.533 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im)))) (exp (/ 1 im))) in im 0.533 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im))))) (exp (/ 1 im))) 0.533 * [taylor]: Taking taylor expansion of (* (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im))))) in im 0.533 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in im 0.533 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.533 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.533 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.533 * [taylor]: Taking taylor expansion of im in im 0.534 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in im 0.534 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.534 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.534 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.534 * [taylor]: Taking taylor expansion of im in im 0.534 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.534 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.535 * [taylor]: Taking taylor expansion of im in im 0.546 * [approximate]: Taking taylor expansion of (fma (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im))) (exp (/ -1 im))) in (im) around 0 0.546 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im))) (exp (/ -1 im))) in im 0.546 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im)))) (exp (/ -1 im))) 0.546 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im)))) in im 0.547 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 0.547 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.547 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 0.547 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.547 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.547 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.547 * [taylor]: Taking taylor expansion of -1 in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.548 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im))) (exp (/ -1 im))) in im 0.548 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im)))) (exp (/ -1 im))) 0.548 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im)))) in im 0.548 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 0.548 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.548 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.548 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 0.548 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.548 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.549 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.549 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.549 * [taylor]: Taking taylor expansion of -1 in im 0.549 * [taylor]: Taking taylor expansion of im in im 0.560 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.560 * [approximate]: Taking taylor expansion of (* 0.5 (* (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) (cos re))) in (re im) around 0 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (* (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) (cos re))) in im 0.560 * [taylor]: Taking taylor expansion of 0.5 in im 0.560 * [taylor]: Taking taylor expansion of (* (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) (cos re)) in im 0.560 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) in im 0.560 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (- im))) (sqrt (exp (- im)))) (exp im)) 0.560 * [taylor]: Taking taylor expansion of (* (sqrt (exp (- im))) (sqrt (exp (- im)))) in im 0.560 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in im 0.560 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.560 * [taylor]: Taking taylor expansion of (- im) in im 0.560 * [taylor]: Taking taylor expansion of im in im 0.562 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in im 0.562 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.562 * [taylor]: Taking taylor expansion of (- im) in im 0.562 * [taylor]: Taking taylor expansion of im in im 0.564 * [taylor]: Taking taylor expansion of (exp im) in im 0.564 * [taylor]: Taking taylor expansion of im in im 0.564 * [taylor]: Taking taylor expansion of (cos re) in im 0.564 * [taylor]: Taking taylor expansion of re in im 0.564 * [taylor]: Taking taylor expansion of (* 0.5 (* (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) (cos re))) in re 0.564 * [taylor]: Taking taylor expansion of 0.5 in re 0.564 * [taylor]: Taking taylor expansion of (* (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) (cos re)) in re 0.564 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) in re 0.564 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (- im))) (sqrt (exp (- im)))) (exp im)) 0.564 * [taylor]: Taking taylor expansion of (* (sqrt (exp (- im))) (sqrt (exp (- im)))) in re 0.564 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in re 0.564 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.564 * [taylor]: Taking taylor expansion of (- im) in re 0.564 * [taylor]: Taking taylor expansion of im in re 0.565 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in re 0.565 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.565 * [taylor]: Taking taylor expansion of (- im) in re 0.565 * [taylor]: Taking taylor expansion of im in re 0.566 * [taylor]: Taking taylor expansion of (exp im) in re 0.566 * [taylor]: Taking taylor expansion of im in re 0.566 * [taylor]: Taking taylor expansion of (cos re) in re 0.566 * [taylor]: Taking taylor expansion of re in re 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) (cos re))) in re 0.566 * [taylor]: Taking taylor expansion of 0.5 in re 0.566 * [taylor]: Taking taylor expansion of (* (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) (cos re)) in re 0.566 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) in re 0.566 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (- im))) (sqrt (exp (- im)))) (exp im)) 0.566 * [taylor]: Taking taylor expansion of (* (sqrt (exp (- im))) (sqrt (exp (- im)))) in re 0.566 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in re 0.566 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.566 * [taylor]: Taking taylor expansion of (- im) in re 0.566 * [taylor]: Taking taylor expansion of im in re 0.567 * [taylor]: Taking taylor expansion of (sqrt (exp (- im))) in re 0.567 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.567 * [taylor]: Taking taylor expansion of (- im) in re 0.567 * [taylor]: Taking taylor expansion of im in re 0.568 * [taylor]: Taking taylor expansion of (exp im) in re 0.568 * [taylor]: Taking taylor expansion of im in re 0.568 * [taylor]: Taking taylor expansion of (cos re) in re 0.568 * [taylor]: Taking taylor expansion of re in re 0.568 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.569 * [taylor]: Taking taylor expansion of 0.5 in im 0.569 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.569 * [taylor]: Taking taylor expansion of (exp im) in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.569 * [taylor]: Taking taylor expansion of (- im) in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.571 * [taylor]: Taking taylor expansion of 0 in im 0.579 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.579 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.579 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.579 * [taylor]: Taking taylor expansion of 0.25 in im 0.579 * [taylor]: Taking taylor expansion of (exp im) in im 0.579 * [taylor]: Taking taylor expansion of im in im 0.579 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.579 * [taylor]: Taking taylor expansion of 0.25 in im 0.579 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.579 * [taylor]: Taking taylor expansion of (- im) in im 0.579 * [taylor]: Taking taylor expansion of im in im 0.585 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (fma (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im)))) (exp (/ 1 im))))) in (re im) around 0 0.585 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (fma (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im)))) (exp (/ 1 im))))) in im 0.585 * [taylor]: Taking taylor expansion of 0.5 in im 0.585 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im)))) (exp (/ 1 im)))) in im 0.585 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.585 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.585 * [taylor]: Taking taylor expansion of re in im 0.585 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im)))) (exp (/ 1 im))) in im 0.585 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im))))) (exp (/ 1 im))) 0.585 * [taylor]: Taking taylor expansion of (* (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im))))) in im 0.585 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in im 0.585 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.585 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.585 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.585 * [taylor]: Taking taylor expansion of im in im 0.586 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in im 0.586 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.586 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.586 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.586 * [taylor]: Taking taylor expansion of im in im 0.587 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.587 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.587 * [taylor]: Taking taylor expansion of im in im 0.587 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (fma (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im)))) (exp (/ 1 im))))) in re 0.587 * [taylor]: Taking taylor expansion of 0.5 in re 0.587 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im)))) (exp (/ 1 im)))) in re 0.587 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.587 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.587 * [taylor]: Taking taylor expansion of re in re 0.587 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im)))) (exp (/ 1 im))) in re 0.588 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im))))) (exp (/ 1 im))) 0.588 * [taylor]: Taking taylor expansion of (* (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im))))) in re 0.588 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in re 0.588 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.588 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.588 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.588 * [taylor]: Taking taylor expansion of im in re 0.589 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in re 0.589 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.589 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.589 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.589 * [taylor]: Taking taylor expansion of im in re 0.590 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.590 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.590 * [taylor]: Taking taylor expansion of im in re 0.590 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (fma (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im)))) (exp (/ 1 im))))) in re 0.590 * [taylor]: Taking taylor expansion of 0.5 in re 0.590 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im)))) (exp (/ 1 im)))) in re 0.590 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.590 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.590 * [taylor]: Taking taylor expansion of re in re 0.590 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im)))) (exp (/ 1 im))) in re 0.590 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im))))) (exp (/ 1 im))) 0.590 * [taylor]: Taking taylor expansion of (* (sqrt (exp (- (/ 1 im)))) (sqrt (exp (- (/ 1 im))))) in re 0.590 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in re 0.590 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.590 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.590 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.590 * [taylor]: Taking taylor expansion of im in re 0.591 * [taylor]: Taking taylor expansion of (sqrt (exp (- (/ 1 im)))) in re 0.591 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.591 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.592 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.592 * [taylor]: Taking taylor expansion of im in re 0.593 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.593 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.593 * [taylor]: Taking taylor expansion of im in re 0.593 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.593 * [taylor]: Taking taylor expansion of 0.5 in im 0.593 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.593 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.593 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.593 * [taylor]: Taking taylor expansion of re in im 0.593 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.593 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.593 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.593 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.593 * [taylor]: Taking taylor expansion of im in im 0.594 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.594 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.594 * [taylor]: Taking taylor expansion of im in im 0.596 * [taylor]: Taking taylor expansion of 0 in im 0.605 * [taylor]: Taking taylor expansion of 0 in im 0.620 * [taylor]: Taking taylor expansion of 0 in im 0.621 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 re)) (fma (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im))) (exp (/ -1 im))))) in (re im) around 0 0.621 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 re)) (fma (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im))) (exp (/ -1 im))))) in im 0.621 * [taylor]: Taking taylor expansion of 0.5 in im 0.621 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im))) (exp (/ -1 im)))) in im 0.621 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.621 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.621 * [taylor]: Taking taylor expansion of -1 in im 0.621 * [taylor]: Taking taylor expansion of re in im 0.621 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im))) (exp (/ -1 im))) in im 0.621 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im)))) (exp (/ -1 im))) 0.621 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im)))) in im 0.621 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 0.621 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.621 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.621 * [taylor]: Taking taylor expansion of im in im 0.622 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 0.622 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.622 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.622 * [taylor]: Taking taylor expansion of im in im 0.622 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.622 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.622 * [taylor]: Taking taylor expansion of -1 in im 0.622 * [taylor]: Taking taylor expansion of im in im 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 re)) (fma (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im))) (exp (/ -1 im))))) in re 0.623 * [taylor]: Taking taylor expansion of 0.5 in re 0.623 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im))) (exp (/ -1 im)))) in re 0.623 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.623 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.623 * [taylor]: Taking taylor expansion of -1 in re 0.623 * [taylor]: Taking taylor expansion of re in re 0.623 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im))) (exp (/ -1 im))) in re 0.623 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im)))) (exp (/ -1 im))) 0.623 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im)))) in re 0.623 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in re 0.623 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.623 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.623 * [taylor]: Taking taylor expansion of im in re 0.624 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in re 0.624 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.624 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.624 * [taylor]: Taking taylor expansion of im in re 0.625 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.625 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.625 * [taylor]: Taking taylor expansion of -1 in re 0.625 * [taylor]: Taking taylor expansion of im in re 0.625 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 re)) (fma (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im))) (exp (/ -1 im))))) in re 0.625 * [taylor]: Taking taylor expansion of 0.5 in re 0.625 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im))) (exp (/ -1 im)))) in re 0.625 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.625 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.625 * [taylor]: Taking taylor expansion of -1 in re 0.625 * [taylor]: Taking taylor expansion of re in re 0.625 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im))) (exp (/ -1 im))) in re 0.625 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im)))) (exp (/ -1 im))) 0.625 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 im))) (sqrt (exp (/ 1 im)))) in re 0.625 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in re 0.625 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.625 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.625 * [taylor]: Taking taylor expansion of im in re 0.626 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in re 0.626 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.626 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.626 * [taylor]: Taking taylor expansion of im in re 0.627 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.627 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.627 * [taylor]: Taking taylor expansion of -1 in re 0.627 * [taylor]: Taking taylor expansion of im in re 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.627 * [taylor]: Taking taylor expansion of 0.5 in im 0.627 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.627 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.627 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.627 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.627 * [taylor]: Taking taylor expansion of -1 in im 0.627 * [taylor]: Taking taylor expansion of im in im 0.628 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.628 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.628 * [taylor]: Taking taylor expansion of im in im 0.628 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.628 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.628 * [taylor]: Taking taylor expansion of -1 in im 0.628 * [taylor]: Taking taylor expansion of re in im 0.630 * [taylor]: Taking taylor expansion of 0 in im 0.638 * [taylor]: Taking taylor expansion of 0 in im 0.647 * [taylor]: Taking taylor expansion of 0 in im 0.647 * * * [progress]: simplifying candidates 0.648 * [simplify]: Simplifying using # : (expm1 (sqrt (exp (- im)))) (log1p (sqrt (exp (- im)))) (log (sqrt (exp (- im)))) (exp (sqrt (exp (- im)))) (* (cbrt (sqrt (exp (- im)))) (cbrt (sqrt (exp (- im))))) (cbrt (sqrt (exp (- im)))) (* (* (sqrt (exp (- im))) (sqrt (exp (- im)))) (sqrt (exp (- im)))) (sqrt (* (cbrt (exp (- im))) (cbrt (exp (- im))))) (sqrt (cbrt (exp (- im)))) (sqrt (sqrt (exp (- im)))) (sqrt (sqrt (exp (- im)))) (sqrt 1) (sqrt (exp (- im))) (sqrt 1) (sqrt (exp im)) (sqrt (exp 0)) (sqrt (exp im)) (/ 1 2) (/ (cbrt (- im)) 2) (/ (sqrt (- im)) 2) (/ (- im) 2) (/ im 2) (/ (cbrt im) 2) (/ (sqrt im) 2) (/ im 2) (/ (- (cbrt im)) 2) (/ (- (sqrt im)) 2) (/ (- im) 2) (sqrt (sqrt (exp (- im)))) (sqrt (sqrt (exp (- im)))) (expm1 (sqrt (exp (- im)))) (log1p (sqrt (exp (- im)))) (log (sqrt (exp (- im)))) (exp (sqrt (exp (- im)))) (* (cbrt (sqrt (exp (- im)))) (cbrt (sqrt (exp (- im))))) (cbrt (sqrt (exp (- im)))) (* (* (sqrt (exp (- im))) (sqrt (exp (- im)))) (sqrt (exp (- im)))) (sqrt (* (cbrt (exp (- im))) (cbrt (exp (- im))))) (sqrt (cbrt (exp (- im)))) (sqrt (sqrt (exp (- im)))) (sqrt (sqrt (exp (- im)))) (sqrt 1) (sqrt (exp (- im))) (sqrt 1) (sqrt (exp im)) (sqrt (exp 0)) (sqrt (exp im)) (/ 1 2) (/ (cbrt (- im)) 2) (/ (sqrt (- im)) 2) (/ (- im) 2) (/ im 2) (/ (cbrt im) 2) (/ (sqrt im) 2) (/ im 2) (/ (- (cbrt im)) 2) (/ (- (sqrt im)) 2) (/ (- im) 2) (sqrt (sqrt (exp (- im)))) (sqrt (sqrt (exp (- im)))) (expm1 (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (log1p (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (* (sqrt (exp (- im))) (sqrt (exp (- im)))) (log (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (exp (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (* (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (* (* (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (sqrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (sqrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (expm1 (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (log1p (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (+ (log (* 0.5 (cos re))) (log (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (log (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (exp (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (cbrt (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))))) (cbrt (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (* (* (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (sqrt (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (sqrt (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (* (* 0.5 (cos re)) (* (sqrt (exp (- im))) (sqrt (exp (- im))))) (* (* 0.5 (cos re)) (exp im)) (* (* (sqrt (exp (- im))) (sqrt (exp (- im)))) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))))) (* (* 0.5 (cos re)) (sqrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (* (* 0.5 (cos re)) 1) (* (cos re) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (- (+ (* 1/8 (pow im 2)) 1) (* 1/2 im)) (sqrt (exp (- im))) (sqrt (exp (* -1 im))) (- (+ (* 1/8 (pow im 2)) 1) (* 1/2 im)) (sqrt (exp (- im))) (sqrt (exp (* -1 im))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.653 * * [simplify]: iteration 0 : 241 enodes (cost 658 ) 0.658 * * [simplify]: iteration 1 : 977 enodes (cost 521 ) 0.679 * * [simplify]: iteration 2 : 5002 enodes (cost 512 ) 0.682 * [simplify]: Simplified to: (expm1 (sqrt (exp (- im)))) (log1p (sqrt (exp (- im)))) (log (sqrt (exp (- im)))) (exp (sqrt (exp (* -1 im)))) (* (cbrt (sqrt (exp (- im)))) (cbrt (sqrt (exp (- im))))) (cbrt (sqrt (exp (- im)))) (pow (sqrt (exp (* -1 im))) 3) (fabs (cbrt (exp (- im)))) (sqrt (cbrt (exp (- im)))) (sqrt (sqrt (exp (- im)))) (sqrt (sqrt (exp (- im)))) 1 (sqrt (exp (* -1 im))) 1 (sqrt (exp im)) 1 (sqrt (exp im)) 1/2 (/ (cbrt (- im)) 2) (/ (sqrt (- im)) 2) (* -1/2 im) (* 1/2 im) (/ (cbrt im) 2) (/ (sqrt im) 2) (* 1/2 im) (/ (- (cbrt im)) 2) (/ (- (sqrt im)) 2) (* -1/2 im) (sqrt (sqrt (exp (- im)))) (sqrt (sqrt (exp (- im)))) (expm1 (sqrt (exp (- im)))) (log1p (sqrt (exp (- im)))) (log (sqrt (exp (- im)))) (exp (sqrt (exp (* -1 im)))) (* (cbrt (sqrt (exp (- im)))) (cbrt (sqrt (exp (- im))))) (cbrt (sqrt (exp (- im)))) (pow (sqrt (exp (* -1 im))) 3) (fabs (cbrt (exp (- im)))) (sqrt (cbrt (exp (- im)))) (sqrt (sqrt (exp (- im)))) (sqrt (sqrt (exp (- im)))) 1 (sqrt (exp (* -1 im))) 1 (sqrt (exp im)) 1 (sqrt (exp im)) 1/2 (/ (cbrt (- im)) 2) (/ (sqrt (- im)) 2) (* -1/2 im) (* 1/2 im) (/ (cbrt im) 2) (/ (sqrt im) 2) (* 1/2 im) (/ (- (cbrt im)) 2) (/ (- (sqrt im)) 2) (* -1/2 im) (sqrt (sqrt (exp (- im)))) (sqrt (sqrt (exp (- im)))) (expm1 (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (log1p (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (exp (- im)) (log (+ (exp im) (exp (- im)))) (exp (+ (exp im) (exp (- im)))) (* (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (pow (+ (exp im) (exp (- im))) 3) (sqrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (sqrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (expm1 (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (log1p (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) (pow (exp 0.5) (* (cos re) (+ (exp im) (exp (- im))))) (pow (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 3) (pow (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 3) (* (cbrt (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (cbrt (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))))) (cbrt (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (pow (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 3) (sqrt (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (sqrt (* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (* (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))) (cbrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))))) (* (* 0.5 (cos re)) (sqrt (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))) (* 0.5 (cos re)) (* (cos re) (+ (exp im) (exp (- im)))) (fma (pow im 2) 1/8 (- 1 (* 1/2 im))) (sqrt (exp (* -1 im))) (sqrt (exp (* -1 im))) (fma (pow im 2) 1/8 (- 1 (* 1/2 im))) (sqrt (exp (* -1 im))) (sqrt (exp (* -1 im))) (fma (pow im 4) 1/12 (fma im im 2)) (+ (exp im) (exp (- im))) (+ (exp im) (exp (- im))) (fma (pow im 2) 0.5 (- 1.0 (* 0.5 (pow re 2)))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 0.683 * * * [progress]: adding candidates to table 0.952 * [progress]: [Phase 3 of 3] Extracting. 0.952 * * [regime]: Finding splitpoints for: (# #) 0.953 * * * [regime-changes]: Trying 6 branch expressions: ((+ (exp (- im)) (exp im)) (cos re) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) im re) 0.953 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# #) 0.968 * * * * [regimes]: Trying to branch on (cos re) from (# #) 0.983 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 1.001 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# #) 1.022 * * * * [regimes]: Trying to branch on im from (# #) 1.037 * * * * [regimes]: Trying to branch on re from (# #) 1.049 * * * [regime]: Found split indices: #