18.810 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.088 * * * [progress]: [2/2] Setting up program. 0.090 * [progress]: [Phase 2 of 3] Improving. 0.090 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.093 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.094 * * [simplify]: iteration 1 : 60 enodes (cost 7 ) 0.096 * * [simplify]: iteration 2 : 112 enodes (cost 7 ) 0.098 * * [simplify]: iteration 3 : 236 enodes (cost 7 ) 0.101 * * [simplify]: iteration 4 : 520 enodes (cost 6 ) 0.105 * * [simplify]: iteration 5 : 702 enodes (cost 6 ) 0.113 * * [simplify]: iteration 6 : 1514 enodes (cost 6 ) 0.125 * * [simplify]: iteration 7 : 2284 enodes (cost 6 ) 0.163 * * [simplify]: iteration 8 : 5001 enodes (cost 6 ) 0.163 * [simplify]: Simplified to: (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 0.166 * * [progress]: iteration 1 / 4 0.167 * * * [progress]: picking best candidate 0.168 * * * * [pick]: Picked # 0.169 * * * [progress]: localizing error 0.178 * * * [progress]: generating rewritten candidates 0.178 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.187 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.214 * * * [progress]: generating series expansions 0.214 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.214 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.214 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.214 * [taylor]: Taking taylor expansion of (exp im) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.214 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.214 * [taylor]: Taking taylor expansion of (- im) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.215 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.215 * [taylor]: Taking taylor expansion of (exp im) in im 0.215 * [taylor]: Taking taylor expansion of im in im 0.215 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.215 * [taylor]: Taking taylor expansion of (- im) in im 0.215 * [taylor]: Taking taylor expansion of im in im 0.234 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.234 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.234 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.234 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.234 * [taylor]: Taking taylor expansion of im in im 0.234 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.234 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.234 * [taylor]: Taking taylor expansion of im in im 0.235 * [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 0.235 * [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 im in im 0.237 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.237 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.237 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.237 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.238 * [taylor]: Taking taylor expansion of -1 in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.238 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.238 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.238 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.238 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.238 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.238 * [taylor]: Taking taylor expansion of -1 in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.239 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.239 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.239 * [taylor]: Taking taylor expansion of im in im 0.241 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.241 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.241 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.241 * [taylor]: Taking taylor expansion of 0.5 in im 0.241 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.241 * [taylor]: Taking taylor expansion of (cos re) in im 0.241 * [taylor]: Taking taylor expansion of re in im 0.241 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.241 * [taylor]: Taking taylor expansion of (exp im) in im 0.241 * [taylor]: Taking taylor expansion of im in im 0.241 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.241 * [taylor]: Taking taylor expansion of (- im) in im 0.241 * [taylor]: Taking taylor expansion of im in im 0.241 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.242 * [taylor]: Taking taylor expansion of 0.5 in re 0.242 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.242 * [taylor]: Taking taylor expansion of (cos re) in re 0.242 * [taylor]: Taking taylor expansion of re in re 0.242 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.242 * [taylor]: Taking taylor expansion of (exp im) in re 0.242 * [taylor]: Taking taylor expansion of im in re 0.242 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.242 * [taylor]: Taking taylor expansion of (- im) in re 0.242 * [taylor]: Taking taylor expansion of im in re 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.242 * [taylor]: Taking taylor expansion of 0.5 in re 0.242 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.242 * [taylor]: Taking taylor expansion of (cos re) in re 0.242 * [taylor]: Taking taylor expansion of re in re 0.242 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.242 * [taylor]: Taking taylor expansion of (exp im) in re 0.242 * [taylor]: Taking taylor expansion of im in re 0.242 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.242 * [taylor]: Taking taylor expansion of (- im) in re 0.242 * [taylor]: Taking taylor expansion of im in re 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.242 * [taylor]: Taking taylor expansion of 0.5 in im 0.242 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.242 * [taylor]: Taking taylor expansion of (exp im) in im 0.242 * [taylor]: Taking taylor expansion of im in im 0.242 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.242 * [taylor]: Taking taylor expansion of (- im) in im 0.242 * [taylor]: Taking taylor expansion of im in im 0.246 * [taylor]: Taking taylor expansion of 0 in im 0.251 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.252 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.252 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.252 * [taylor]: Taking taylor expansion of 0.25 in im 0.252 * [taylor]: Taking taylor expansion of (exp im) in im 0.252 * [taylor]: Taking taylor expansion of im in im 0.252 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.252 * [taylor]: Taking taylor expansion of 0.25 in im 0.252 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.252 * [taylor]: Taking taylor expansion of (- im) in im 0.252 * [taylor]: Taking taylor expansion of im in im 0.258 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.258 * [taylor]: Taking taylor expansion of 0.5 in im 0.258 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.258 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.258 * [taylor]: Taking taylor expansion of re in im 0.258 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.258 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.259 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.259 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.259 * [taylor]: Taking taylor expansion of im in im 0.259 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.259 * [taylor]: Taking taylor expansion of 0.5 in re 0.259 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.259 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.259 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.259 * [taylor]: Taking taylor expansion of re in re 0.259 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.259 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.259 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.259 * [taylor]: Taking taylor expansion of im in re 0.260 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.260 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.260 * [taylor]: Taking taylor expansion of im in re 0.260 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.260 * [taylor]: Taking taylor expansion of 0.5 in re 0.260 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.260 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.260 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.260 * [taylor]: Taking taylor expansion of re in re 0.260 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.260 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.260 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.260 * [taylor]: Taking taylor expansion of im in re 0.260 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.260 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.260 * [taylor]: Taking taylor expansion of im in re 0.261 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.261 * [taylor]: Taking taylor expansion of 0.5 in im 0.261 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.261 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.261 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.261 * [taylor]: Taking taylor expansion of re in im 0.261 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.261 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.261 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.261 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.261 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.261 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.265 * [taylor]: Taking taylor expansion of 0 in im 0.271 * [taylor]: Taking taylor expansion of 0 in im 0.279 * [taylor]: Taking taylor expansion of 0 in im 0.280 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.280 * [taylor]: Taking taylor expansion of 0.5 in im 0.280 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.280 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.280 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.280 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.280 * [taylor]: Taking taylor expansion of -1 in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.280 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.281 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.281 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.281 * [taylor]: Taking taylor expansion of -1 in im 0.281 * [taylor]: Taking taylor expansion of re in im 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.281 * [taylor]: Taking taylor expansion of 0.5 in re 0.281 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.281 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.281 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.281 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.281 * [taylor]: Taking taylor expansion of -1 in re 0.281 * [taylor]: Taking taylor expansion of im in re 0.281 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.281 * [taylor]: Taking taylor expansion of im in re 0.281 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.281 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.281 * [taylor]: Taking taylor expansion of -1 in re 0.281 * [taylor]: Taking taylor expansion of re in re 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.281 * [taylor]: Taking taylor expansion of 0.5 in re 0.281 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.282 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.282 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.282 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.282 * [taylor]: Taking taylor expansion of -1 in re 0.282 * [taylor]: Taking taylor expansion of im in re 0.282 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.282 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.282 * [taylor]: Taking taylor expansion of im in re 0.282 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.282 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.282 * [taylor]: Taking taylor expansion of -1 in re 0.282 * [taylor]: Taking taylor expansion of re in re 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.282 * [taylor]: Taking taylor expansion of 0.5 in im 0.282 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.282 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.282 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.282 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.283 * [taylor]: Taking taylor expansion of -1 in im 0.283 * [taylor]: Taking taylor expansion of im in im 0.283 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.283 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.283 * [taylor]: Taking taylor expansion of im in im 0.283 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.283 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.283 * [taylor]: Taking taylor expansion of -1 in im 0.283 * [taylor]: Taking taylor expansion of re in im 0.286 * [taylor]: Taking taylor expansion of 0 in im 0.291 * [taylor]: Taking taylor expansion of 0 in im 0.299 * [taylor]: Taking taylor expansion of 0 in im 0.299 * * * [progress]: simplifying candidates 0.300 * [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))) 0.304 * * [simplify]: iteration 0 : 258 enodes (cost 374 ) 0.310 * * [simplify]: iteration 1 : 1276 enodes (cost 311 ) 0.336 * * [simplify]: iteration 2 : 5002 enodes (cost 307 ) 0.338 * [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))) 0.338 * * * [progress]: adding candidates to table 0.459 * * [progress]: iteration 2 / 4 0.459 * * * [progress]: picking best candidate 0.464 * * * * [pick]: Picked # 0.464 * * * [progress]: localizing error 0.473 * * * [progress]: generating rewritten candidates 0.473 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.477 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.487 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.497 * * * [progress]: generating series expansions 0.497 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.497 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 0.497 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.497 * [taylor]: Taking taylor expansion of 0.5 in im 0.497 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.497 * [taylor]: Taking taylor expansion of (cos re) in im 0.497 * [taylor]: Taking taylor expansion of re in im 0.497 * [taylor]: Taking taylor expansion of (exp im) in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.498 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.498 * [taylor]: Taking taylor expansion of 0.5 in re 0.498 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.498 * [taylor]: Taking taylor expansion of (cos re) in re 0.498 * [taylor]: Taking taylor expansion of re in re 0.498 * [taylor]: Taking taylor expansion of (exp im) in re 0.498 * [taylor]: Taking taylor expansion of im in re 0.498 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.498 * [taylor]: Taking taylor expansion of 0.5 in re 0.498 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.498 * [taylor]: Taking taylor expansion of (cos re) in re 0.498 * [taylor]: Taking taylor expansion of re in re 0.498 * [taylor]: Taking taylor expansion of (exp im) in re 0.498 * [taylor]: Taking taylor expansion of im in re 0.498 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.498 * [taylor]: Taking taylor expansion of 0.5 in im 0.498 * [taylor]: Taking taylor expansion of (exp im) in im 0.498 * [taylor]: Taking taylor expansion of im in im 0.500 * [taylor]: Taking taylor expansion of 0 in im 0.505 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 0.505 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.505 * [taylor]: Taking taylor expansion of 0.25 in im 0.505 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.505 * [taylor]: Taking taylor expansion of (exp im) in im 0.505 * [taylor]: Taking taylor expansion of im in im 0.506 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.507 * [taylor]: Taking taylor expansion of 0.5 in im 0.507 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.507 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.507 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.507 * [taylor]: Taking taylor expansion of re in im 0.507 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.507 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.507 * [taylor]: Taking taylor expansion of im in im 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.507 * [taylor]: Taking taylor expansion of 0.5 in re 0.507 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.507 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.507 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.508 * [taylor]: Taking taylor expansion of re in re 0.508 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.508 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.508 * [taylor]: Taking taylor expansion of im in re 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.508 * [taylor]: Taking taylor expansion of 0.5 in re 0.508 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.508 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.508 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.508 * [taylor]: Taking taylor expansion of re in re 0.508 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.508 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.508 * [taylor]: Taking taylor expansion of im in re 0.509 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.509 * [taylor]: Taking taylor expansion of 0.5 in im 0.509 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.509 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.509 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.509 * [taylor]: Taking taylor expansion of re in im 0.509 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.509 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.509 * [taylor]: Taking taylor expansion of im in im 0.511 * [taylor]: Taking taylor expansion of 0 in im 0.515 * [taylor]: Taking taylor expansion of 0 in im 0.520 * [taylor]: Taking taylor expansion of 0 in im 0.520 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 0.520 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.520 * [taylor]: Taking taylor expansion of 0.5 in im 0.520 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.520 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.520 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.520 * [taylor]: Taking taylor expansion of -1 in im 0.520 * [taylor]: Taking taylor expansion of re in im 0.520 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.520 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.520 * [taylor]: Taking taylor expansion of -1 in im 0.520 * [taylor]: Taking taylor expansion of im in im 0.521 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.521 * [taylor]: Taking taylor expansion of 0.5 in re 0.521 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.521 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.521 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.521 * [taylor]: Taking taylor expansion of -1 in re 0.521 * [taylor]: Taking taylor expansion of re in re 0.522 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.522 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.522 * [taylor]: Taking taylor expansion of -1 in re 0.522 * [taylor]: Taking taylor expansion of im in re 0.522 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.522 * [taylor]: Taking taylor expansion of 0.5 in re 0.522 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.522 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.522 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.522 * [taylor]: Taking taylor expansion of -1 in re 0.522 * [taylor]: Taking taylor expansion of re in re 0.522 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.522 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.522 * [taylor]: Taking taylor expansion of -1 in re 0.522 * [taylor]: Taking taylor expansion of im in re 0.523 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.523 * [taylor]: Taking taylor expansion of 0.5 in im 0.523 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.523 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.523 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.523 * [taylor]: Taking taylor expansion of -1 in im 0.523 * [taylor]: Taking taylor expansion of re in im 0.523 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.523 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.523 * [taylor]: Taking taylor expansion of -1 in im 0.523 * [taylor]: Taking taylor expansion of im in im 0.528 * [taylor]: Taking taylor expansion of 0 in im 0.532 * [taylor]: Taking taylor expansion of 0 in im 0.538 * [taylor]: Taking taylor expansion of 0 in im 0.538 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.538 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 0.538 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.539 * [taylor]: Taking taylor expansion of 0.5 in im 0.539 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.539 * [taylor]: Taking taylor expansion of (exp im) in im 0.539 * [taylor]: Taking taylor expansion of im in im 0.539 * [taylor]: Taking taylor expansion of (cos re) in im 0.539 * [taylor]: Taking taylor expansion of re in im 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.539 * [taylor]: Taking taylor expansion of 0.5 in im 0.539 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.539 * [taylor]: Taking taylor expansion of (cos re) in im 0.539 * [taylor]: Taking taylor expansion of re in im 0.539 * [taylor]: Taking taylor expansion of (exp im) in im 0.539 * [taylor]: Taking taylor expansion of im in im 0.539 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.539 * [taylor]: Taking taylor expansion of 0.5 in re 0.539 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.539 * [taylor]: Taking taylor expansion of (exp im) in re 0.539 * [taylor]: Taking taylor expansion of im in re 0.539 * [taylor]: Taking taylor expansion of (cos re) in re 0.539 * [taylor]: Taking taylor expansion of re in re 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.539 * [taylor]: Taking taylor expansion of 0.5 in re 0.539 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.539 * [taylor]: Taking taylor expansion of (cos re) in re 0.539 * [taylor]: Taking taylor expansion of re in re 0.539 * [taylor]: Taking taylor expansion of (exp im) in re 0.539 * [taylor]: Taking taylor expansion of im in re 0.540 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.540 * [taylor]: Taking taylor expansion of 0.5 in re 0.540 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.540 * [taylor]: Taking taylor expansion of (exp im) in re 0.540 * [taylor]: Taking taylor expansion of im in re 0.540 * [taylor]: Taking taylor expansion of (cos re) in re 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.540 * [taylor]: Taking taylor expansion of 0.5 in re 0.540 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.540 * [taylor]: Taking taylor expansion of (cos re) in re 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [taylor]: Taking taylor expansion of (exp im) in re 0.540 * [taylor]: Taking taylor expansion of im in re 0.540 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 0.540 * [taylor]: Taking taylor expansion of 0.5 in im 0.540 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.540 * [taylor]: Taking taylor expansion of (exp im) in im 0.540 * [taylor]: Taking taylor expansion of im in im 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.540 * [taylor]: Taking taylor expansion of 0.5 in im 0.540 * [taylor]: Taking taylor expansion of (exp im) in im 0.540 * [taylor]: Taking taylor expansion of im in im 0.544 * [taylor]: Taking taylor expansion of 0 in im 0.552 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 0.552 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 0.552 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.552 * [taylor]: Taking taylor expansion of 0.25 in im 0.552 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.552 * [taylor]: Taking taylor expansion of (exp im) in im 0.552 * [taylor]: Taking taylor expansion of im in im 0.553 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.553 * [taylor]: Taking taylor expansion of 0.25 in im 0.553 * [taylor]: Taking taylor expansion of (exp im) in im 0.553 * [taylor]: Taking taylor expansion of im in im 0.560 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in (re im) around 0 0.560 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.560 * [taylor]: Taking taylor expansion of 0.5 in im 0.560 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.560 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.560 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.560 * [taylor]: Taking taylor expansion of re in im 0.560 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.560 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.560 * [taylor]: Taking taylor expansion of im in im 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.560 * [taylor]: Taking taylor expansion of 0.5 in im 0.560 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.560 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.560 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.560 * [taylor]: Taking taylor expansion of re in im 0.561 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.561 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.561 * [taylor]: Taking taylor expansion of im in im 0.561 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.561 * [taylor]: Taking taylor expansion of 0.5 in re 0.561 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.561 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.561 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.561 * [taylor]: Taking taylor expansion of re in re 0.562 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.562 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.562 * [taylor]: Taking taylor expansion of im in re 0.562 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.562 * [taylor]: Taking taylor expansion of 0.5 in re 0.562 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.562 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.562 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.562 * [taylor]: Taking taylor expansion of re in re 0.562 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.562 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.562 * [taylor]: Taking taylor expansion of im in re 0.562 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.562 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.562 * [taylor]: Taking taylor expansion of 0.5 in re 0.562 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.562 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.562 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.562 * [taylor]: Taking taylor expansion of re in re 0.563 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.563 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.563 * [taylor]: Taking taylor expansion of im in re 0.563 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.563 * [taylor]: Taking taylor expansion of 0.5 in re 0.563 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.563 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.563 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.563 * [taylor]: Taking taylor expansion of re in re 0.563 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.563 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.563 * [taylor]: Taking taylor expansion of im in re 0.564 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.564 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.564 * [taylor]: Taking taylor expansion of 0.5 in im 0.564 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.564 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.564 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.564 * [taylor]: Taking taylor expansion of re in im 0.564 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.564 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.564 * [taylor]: Taking taylor expansion of im in im 0.564 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.564 * [taylor]: Taking taylor expansion of 0.5 in im 0.564 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.564 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.564 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.564 * [taylor]: Taking taylor expansion of re in im 0.564 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.565 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.568 * [taylor]: Taking taylor expansion of 0 in im 0.577 * [taylor]: Taking taylor expansion of 0 in im 0.588 * [taylor]: Taking taylor expansion of 0 in im 0.589 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in (re im) around 0 0.589 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.589 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.589 * [taylor]: Taking taylor expansion of 0.5 in im 0.589 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.589 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.589 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.589 * [taylor]: Taking taylor expansion of -1 in im 0.589 * [taylor]: Taking taylor expansion of re in im 0.589 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.589 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.589 * [taylor]: Taking taylor expansion of -1 in im 0.589 * [taylor]: Taking taylor expansion of im in im 0.590 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.590 * [taylor]: Taking taylor expansion of 0.5 in im 0.590 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.590 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.590 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.590 * [taylor]: Taking taylor expansion of -1 in im 0.590 * [taylor]: Taking taylor expansion of im in im 0.590 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.590 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.590 * [taylor]: Taking taylor expansion of -1 in im 0.590 * [taylor]: Taking taylor expansion of re in im 0.590 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.590 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (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)) (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 -1 in re 0.590 * [taylor]: Taking taylor expansion of re 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 0.591 * [taylor]: Taking taylor expansion of -1 in re 0.591 * [taylor]: Taking taylor expansion of im in re 0.591 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.591 * [taylor]: Taking taylor expansion of 0.5 in re 0.591 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) 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 0.591 * [taylor]: Taking taylor expansion of -1 in re 0.591 * [taylor]: Taking taylor expansion of im in re 0.591 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.591 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.591 * [taylor]: Taking taylor expansion of -1 in re 0.591 * [taylor]: Taking taylor expansion of re in re 0.591 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.591 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.591 * [taylor]: Taking taylor expansion of 0.5 in re 0.591 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.591 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.591 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.591 * [taylor]: Taking taylor expansion of -1 in re 0.591 * [taylor]: Taking taylor expansion of re in re 0.592 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.592 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.592 * [taylor]: Taking taylor expansion of -1 in re 0.592 * [taylor]: Taking taylor expansion of im in re 0.592 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.592 * [taylor]: Taking taylor expansion of 0.5 in re 0.592 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.592 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.592 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.592 * [taylor]: Taking taylor expansion of -1 in re 0.592 * [taylor]: Taking taylor expansion of im in re 0.592 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.592 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.592 * [taylor]: Taking taylor expansion of -1 in re 0.592 * [taylor]: Taking taylor expansion of re in re 0.593 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.593 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (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))) 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 -1 in im 0.593 * [taylor]: Taking taylor expansion of re 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 in im 0.593 * [taylor]: Taking taylor expansion of im in im 0.594 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.594 * [taylor]: Taking taylor expansion of 0.5 in im 0.594 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) 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 -1 in im 0.594 * [taylor]: Taking taylor expansion of im in im 0.594 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.594 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.594 * [taylor]: Taking taylor expansion of -1 in im 0.594 * [taylor]: Taking taylor expansion of re in im 0.598 * [taylor]: Taking taylor expansion of 0 in im 0.606 * [taylor]: Taking taylor expansion of 0 in im 0.622 * [taylor]: Taking taylor expansion of 0 in im 0.623 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.623 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.623 * [taylor]: Taking taylor expansion of 0.5 in im 0.623 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.623 * [taylor]: Taking taylor expansion of (exp im) in im 0.623 * [taylor]: Taking taylor expansion of im in im 0.623 * [taylor]: Taking taylor expansion of (cos re) in im 0.623 * [taylor]: Taking taylor expansion of re in im 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.623 * [taylor]: Taking taylor expansion of 0.5 in re 0.623 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.623 * [taylor]: Taking taylor expansion of (exp im) in re 0.623 * [taylor]: Taking taylor expansion of im in re 0.623 * [taylor]: Taking taylor expansion of (cos re) in re 0.623 * [taylor]: Taking taylor expansion of re in re 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.623 * [taylor]: Taking taylor expansion of 0.5 in re 0.623 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.623 * [taylor]: Taking taylor expansion of (exp im) in re 0.623 * [taylor]: Taking taylor expansion of im in re 0.623 * [taylor]: Taking taylor expansion of (cos re) in re 0.623 * [taylor]: Taking taylor expansion of re in re 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.623 * [taylor]: Taking taylor expansion of 0.5 in im 0.623 * [taylor]: Taking taylor expansion of (exp im) in im 0.623 * [taylor]: Taking taylor expansion of im in im 0.625 * [taylor]: Taking taylor expansion of 0 in im 0.629 * [taylor]: Taking taylor expansion of (- (* 0.25 (exp im))) in im 0.629 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.629 * [taylor]: Taking taylor expansion of 0.25 in im 0.629 * [taylor]: Taking taylor expansion of (exp im) in im 0.629 * [taylor]: Taking taylor expansion of im in im 0.630 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.630 * [taylor]: Taking taylor expansion of 0.5 in im 0.630 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.630 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.630 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.630 * [taylor]: Taking taylor expansion of re in im 0.630 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.630 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.630 * [taylor]: Taking taylor expansion of im in im 0.631 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.631 * [taylor]: Taking taylor expansion of 0.5 in re 0.631 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.631 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.631 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.631 * [taylor]: Taking taylor expansion of re in re 0.631 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.631 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.631 * [taylor]: Taking taylor expansion of im in re 0.631 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.631 * [taylor]: Taking taylor expansion of 0.5 in re 0.631 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.631 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.631 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.631 * [taylor]: Taking taylor expansion of re in re 0.631 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.631 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.631 * [taylor]: Taking taylor expansion of im in re 0.632 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.632 * [taylor]: Taking taylor expansion of 0.5 in im 0.632 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.632 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.632 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.632 * [taylor]: Taking taylor expansion of re in im 0.632 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.632 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.632 * [taylor]: Taking taylor expansion of im in im 0.634 * [taylor]: Taking taylor expansion of 0 in im 0.638 * [taylor]: Taking taylor expansion of 0 in im 0.643 * [taylor]: Taking taylor expansion of 0 in im 0.644 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 0.644 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.644 * [taylor]: Taking taylor expansion of 0.5 in im 0.644 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.644 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.644 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.644 * [taylor]: Taking taylor expansion of -1 in im 0.644 * [taylor]: Taking taylor expansion of im in im 0.644 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.644 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.644 * [taylor]: Taking taylor expansion of -1 in im 0.644 * [taylor]: Taking taylor expansion of re in im 0.644 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.644 * [taylor]: Taking taylor expansion of 0.5 in re 0.644 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.644 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.644 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.644 * [taylor]: Taking taylor expansion of -1 in re 0.644 * [taylor]: Taking taylor expansion of im in re 0.644 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.645 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.645 * [taylor]: Taking taylor expansion of -1 in re 0.645 * [taylor]: Taking taylor expansion of re in re 0.645 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.645 * [taylor]: Taking taylor expansion of 0.5 in re 0.645 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.645 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.645 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.645 * [taylor]: Taking taylor expansion of -1 in re 0.645 * [taylor]: Taking taylor expansion of im in re 0.645 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.645 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.645 * [taylor]: Taking taylor expansion of -1 in re 0.645 * [taylor]: Taking taylor expansion of re in re 0.646 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.646 * [taylor]: Taking taylor expansion of 0.5 in im 0.646 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.646 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.646 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.646 * [taylor]: Taking taylor expansion of -1 in im 0.646 * [taylor]: Taking taylor expansion of im in im 0.646 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.646 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.646 * [taylor]: Taking taylor expansion of -1 in im 0.646 * [taylor]: Taking taylor expansion of re in im 0.648 * [taylor]: Taking taylor expansion of 0 in im 0.652 * [taylor]: Taking taylor expansion of 0 in im 0.657 * [taylor]: Taking taylor expansion of 0 in im 0.657 * * * [progress]: simplifying candidates 0.658 * [simplify]: Simplifying using # : (expm1 (/ (* 0.5 (cos re)) (exp im))) (log1p (/ (* 0.5 (cos re)) (exp im))) (- (+ (log 0.5) (log (cos re))) im) (- (log (* 0.5 (cos re))) im) (log (/ (* 0.5 (cos re)) (exp im))) (exp (/ (* 0.5 (cos re)) (exp im))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) 1) (/ (exp im) (cos re)) (expm1 (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (log1p (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (exp (/ (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im)))) (log (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (exp (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (* (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (+ (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (- (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (- (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (- (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ 1 (exp im)) (exp im)) (expm1 (* (* 0.5 (cos re)) (exp im))) (log1p (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (+ (+ (log 0.5) (log (cos re))) im) (+ (log (* 0.5 (cos re))) im) (log (* (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* 0.5 (cos re)) 1) (* (cos re) (exp im)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 0.663 * * [simplify]: iteration 0 : 297 enodes (cost 490 ) 0.669 * * [simplify]: iteration 1 : 1687 enodes (cost 421 ) 0.704 * * [simplify]: iteration 2 : 5001 enodes (cost 416 ) 0.707 * [simplify]: Simplified to: (expm1 (/ (* 0.5 (cos re)) (exp im))) (log1p (/ (* 0.5 (cos re)) (exp im))) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (exp (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (/ (exp im) (cos re)) (expm1 (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (log1p (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (pow (exp 0.5) (fma (exp im) (cos re) (/ (cos re) (exp im)))) (log (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) (pow (exp 0.5) (fma (exp im) (cos re) (/ (cos re) (exp im)))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (pow (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) 3) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (fma 0.5 (* (* (cos re) (exp im)) (* 0.5 (- (* (cos re) (exp im)) (/ (cos re) (exp im))))) (/ (* (* 0.5 (cos re)) (* 0.5 (cos re))) (exp (+ im im)))) (* 0.5 (* (fma (exp im) (cos re) (/ (cos re) (exp im))) (* 0.5 (- (/ (cos re) (exp im)) (* (cos re) (exp im)))))) (* (cos re) (- (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 1 (exp im)) (exp im)) (expm1 (* (* 0.5 (cos re)) (exp im))) (log1p (* (* 0.5 (cos re)) (exp im))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (exp (* (* 0.5 (cos re)) (exp im))) (pow (* (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (pow (* (* 0.5 (cos re)) (exp im)) 3) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (* (cos re) (exp im)) (- 0.5 (fma 0.25 (pow re 2) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (fma (pow im 2) 0.5 (- 1.0 (* 0.5 (pow re 2)))) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) (fma im 0.5 (- 0.5 (* 0.25 (pow re 2)))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) 0.707 * * * [progress]: adding candidates to table 0.876 * * [progress]: iteration 3 / 4 0.876 * * * [progress]: picking best candidate 0.880 * * * * [pick]: Picked # 0.880 * * * [progress]: localizing error 0.899 * * * [progress]: generating rewritten candidates 0.899 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.906 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.908 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 0.916 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.923 * * * [progress]: generating series expansions 0.923 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.923 * [approximate]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in (im) around 0 0.923 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 0.923 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.923 * [taylor]: Taking taylor expansion of (exp im) in im 0.923 * [taylor]: Taking taylor expansion of im in im 0.923 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.923 * [taylor]: Taking taylor expansion of (exp im) in im 0.923 * [taylor]: Taking taylor expansion of im in im 0.923 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.923 * [taylor]: Taking taylor expansion of (- im) in im 0.923 * [taylor]: Taking taylor expansion of im in im 0.924 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 0.924 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.924 * [taylor]: Taking taylor expansion of (exp im) in im 0.924 * [taylor]: Taking taylor expansion of im in im 0.924 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.924 * [taylor]: Taking taylor expansion of (exp im) in im 0.924 * [taylor]: Taking taylor expansion of im in im 0.924 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.924 * [taylor]: Taking taylor expansion of (- im) in im 0.924 * [taylor]: Taking taylor expansion of im in im 0.945 * [approximate]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 0.945 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.945 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.945 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.945 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.945 * [taylor]: Taking taylor expansion of im in im 0.946 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.946 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.946 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.946 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.946 * [taylor]: Taking taylor expansion of im in im 0.946 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.946 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.946 * [taylor]: Taking taylor expansion of im in im 0.947 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.947 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.947 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.947 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.947 * [taylor]: Taking taylor expansion of im in im 0.947 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.947 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.947 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.947 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.947 * [taylor]: Taking taylor expansion of im in im 0.947 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.947 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.948 * [taylor]: Taking taylor expansion of im in im 0.960 * [approximate]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 0.960 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.960 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.960 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.960 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.960 * [taylor]: Taking taylor expansion of -1 in im 0.960 * [taylor]: Taking taylor expansion of im in im 0.960 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 0.960 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.960 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.961 * [taylor]: Taking taylor expansion of -1 in im 0.961 * [taylor]: Taking taylor expansion of im in im 0.961 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.961 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.961 * [taylor]: Taking taylor expansion of im in im 0.961 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.961 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.961 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.961 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.961 * [taylor]: Taking taylor expansion of -1 in im 0.961 * [taylor]: Taking taylor expansion of im in im 0.962 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 0.962 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.962 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.962 * [taylor]: Taking taylor expansion of -1 in im 0.962 * [taylor]: Taking taylor expansion of im in im 0.962 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.962 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.962 * [taylor]: Taking taylor expansion of im in im 0.974 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 0.974 * [approximate]: Taking taylor expansion of (pow (exp im) 3) in (im) around 0 0.974 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.974 * [taylor]: Taking taylor expansion of (exp im) in im 0.974 * [taylor]: Taking taylor expansion of im in im 0.974 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.974 * [taylor]: Taking taylor expansion of (exp im) in im 0.974 * [taylor]: Taking taylor expansion of im in im 0.978 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.978 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.978 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.978 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.978 * [taylor]: Taking taylor expansion of im in im 0.979 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.979 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.979 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.979 * [taylor]: Taking taylor expansion of im in im 0.988 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in (im) around 0 0.988 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.988 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.988 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.988 * [taylor]: Taking taylor expansion of -1 in im 0.988 * [taylor]: Taking taylor expansion of im in im 0.988 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.988 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.988 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.988 * [taylor]: Taking taylor expansion of -1 in im 0.988 * [taylor]: Taking taylor expansion of im in im 0.998 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 0.998 * [approximate]: Taking taylor expansion of (pow (exp im) 2) in (im) around 0 0.998 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.998 * [taylor]: Taking taylor expansion of (exp im) in im 0.998 * [taylor]: Taking taylor expansion of im in im 0.998 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.998 * [taylor]: Taking taylor expansion of (exp im) in im 0.998 * [taylor]: Taking taylor expansion of im in im 1.001 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in (im) around 0 1.001 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.001 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.001 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.001 * [taylor]: Taking taylor expansion of im in im 1.002 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.002 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.002 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.002 * [taylor]: Taking taylor expansion of im in im 1.007 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in (im) around 0 1.007 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 1.007 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.007 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.007 * [taylor]: Taking taylor expansion of -1 in im 1.007 * [taylor]: Taking taylor expansion of im in im 1.007 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 1.007 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.007 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.007 * [taylor]: Taking taylor expansion of -1 in im 1.007 * [taylor]: Taking taylor expansion of im in im 1.012 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.012 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 3) in (im) around 0 1.012 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.012 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.012 * [taylor]: Taking taylor expansion of (- im) in im 1.012 * [taylor]: Taking taylor expansion of im in im 1.012 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.012 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.012 * [taylor]: Taking taylor expansion of (- im) in im 1.012 * [taylor]: Taking taylor expansion of im in im 1.018 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in (im) around 0 1.018 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) 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 (/ 1 im) in im 1.018 * [taylor]: Taking taylor expansion of im in im 1.018 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.019 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.019 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.019 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.019 * [taylor]: Taking taylor expansion of im in im 1.028 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 1.028 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.028 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.028 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.028 * [taylor]: Taking taylor expansion of im in im 1.033 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.033 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.033 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.033 * [taylor]: Taking taylor expansion of im in im 1.042 * * * [progress]: simplifying candidates 1.044 * [simplify]: Simplifying using # : (fma (exp im) (exp im) (- (* (exp im) (exp (- im))))) (fma (- (exp im)) (exp (- im)) (* (exp im) (exp (- im)))) (expm1 (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (log1p (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp (- im)) (exp im))) (/ (exp (* (exp im) (exp im))) (exp (* (exp (- im)) (exp im)))) (log (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (exp (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (* (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (cbrt (- (* (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)) (* (exp (- im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (pow (* (exp im) (exp im)) 3) (pow (* (exp (- im)) (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))) (- (* (* (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))) (- (* (exp (- im)) (exp im))) (expm1 (pow (exp im) 3)) (log1p (pow (exp im) 3)) (* im 3) (* (log (exp im)) 3) (* 1 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (pow (exp im) 1) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (log (pow (exp im) 3)) (exp (pow (exp im) 3)) (* (cbrt (pow (exp im) 3)) (cbrt (pow (exp im) 3))) (cbrt (pow (exp im) 3)) (* (* (pow (exp im) 3) (pow (exp im) 3)) (pow (exp im) 3)) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) (/ 3 2)) (pow (exp im) (/ 3 2)) (expm1 (* (exp im) (exp im))) (log1p (* (exp im) (exp im))) (+ 1 1) (+ (cbrt im) (cbrt im)) (+ (sqrt im) (sqrt im)) (+ im im) (* (exp im) (exp im)) (* (exp (* (cbrt im) (cbrt im))) (exp (* (cbrt im) (cbrt im)))) (* (exp (sqrt im)) (exp (sqrt im))) (* (exp 1) (exp 1)) (+ 1 1) (+ im im) (log (* (exp im) (exp im))) (exp (* (exp im) (exp im))) (* (* (* (exp im) (exp im)) (exp im)) (* (* (exp im) (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))) (* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (cbrt (exp im)) (cbrt (exp im))) (* (sqrt (exp im)) (sqrt (exp im))) (* (sqrt (exp im)) (sqrt (exp im))) (* 1 1) (* (exp im) (exp im)) (* (sqrt (exp im)) (sqrt (exp im))) (* (sqrt (exp im)) (sqrt (exp im))) (* 2 1) (* 2 (cbrt im)) (* 2 (sqrt im)) (* 2 im) (* (exp im) (* (cbrt (exp im)) (cbrt (exp im)))) (* (exp im) (sqrt (exp im))) (* (exp im) 1) (* (cbrt (exp im)) (exp im)) (* (sqrt (exp im)) (exp im)) (* (exp im) (exp im)) (expm1 (pow (exp (- im)) 3)) (log1p (pow (exp (- im)) 3)) (* (- im) 3) (* (log (exp (- im))) 3) (* 1 3) (* (cbrt (- im)) 3) (* (sqrt (- im)) 3) (* (- im) 3) (* im 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (* (- (cbrt im)) 3) (* (- (sqrt im)) 3) (* (- im) 3) (pow (exp (- im)) (* (cbrt 3) (cbrt 3))) (pow (exp (- im)) (sqrt 3)) (pow (exp (- im)) 1) (pow (* (cbrt (exp (- im))) (cbrt (exp (- im)))) 3) (pow (cbrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow 1 3) (pow (exp (- im)) 3) (* (exp (- im)) (exp (- im))) (log (pow (exp (- im)) 3)) (exp (pow (exp (- im)) 3)) (* (cbrt (pow (exp (- im)) 3)) (cbrt (pow (exp (- im)) 3))) (cbrt (pow (exp (- im)) 3)) (* (* (pow (exp (- im)) 3) (pow (exp (- im)) 3)) (pow (exp (- im)) 3)) (pow (* (cbrt (exp (- im))) (cbrt (exp (- im)))) 3) (pow (cbrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow 1 3) (pow (exp (- im)) 3) (pow 1 3) (pow (exp im) 3) (pow (exp 0) 3) (pow (exp im) 3) (* (exp (- im)) (exp (- im))) (sqrt (pow (exp (- im)) 3)) (sqrt (pow (exp (- im)) 3)) (pow (exp (- im)) (/ 3 2)) (pow (exp (- im)) (/ 3 2)) (+ (* 4/3 (pow im 3)) (+ (* 2 (pow im 2)) (* 2 im))) (- (pow (exp im) 2) (* (exp im) (exp (- im)))) (- (pow (exp im) 2) (* (exp (* -1 im)) (exp im))) (+ (* 3 im) (+ (* 9/2 (pow im 2)) 1)) (pow (exp im) 3) (pow (exp im) 3) (+ (* 2 im) (+ (* 2 (pow im 2)) 1)) (pow (exp im) 2) (pow (exp im) 2) (- (+ (* 9/2 (pow im 2)) 1) (* 3 im)) (pow (exp (- im)) 3) (pow (exp (* -1 im)) 3) 1.049 * * [simplify]: iteration 0 : 389 enodes (cost 526 ) 1.059 * * [simplify]: iteration 1 : 2239 enodes (cost 444 ) 1.165 * * [simplify]: iteration 2 : 5001 enodes (cost 380 ) 1.167 * [simplify]: Simplified to: (expm1 (+ im im)) (fma (- 1) 1 1) (expm1 (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (log1p (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- 1) (exp (expm1 (+ im im))) (log (expm1 (+ im im))) (exp (expm1 (+ im im))) (* (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (pow (* (exp im) (- (exp im) (exp (- im)))) 3) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (fma (pow (exp im) 6) 1 (- 1)) (fma (pow (exp im) 4) 1 (+ 1 (pow (exp im) 2))) (- 1) (expm1 (+ (+ im im) (+ im im))) (+ 1 (pow (exp im) 2)) (- (exp im) (exp (- im))) (- 1) (expm1 (pow (exp im) 3)) (log1p (pow (exp im) 3)) (* im 3) (* im 3) 3 (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (exp im) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (* im 3) (exp (pow (exp im) 3)) (pow (exp im) 2) (exp im) (pow (pow (exp im) 3) 3) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) 3/2) (pow (exp im) 3/2) (expm1 (* (exp im) (exp im))) (log1p (* (exp im) (exp im))) 2 (* 2 (cbrt im)) (* 2 (sqrt im)) (+ im im) (pow (exp im) 2) (pow (exp (cbrt im)) (* 2 (cbrt im))) (exp (* 2 (sqrt im))) (exp 2) 2 (+ im im) (+ im im) (exp (pow (exp im) 2)) (pow (exp im) 6) (pow (cbrt (exp im)) 4) (cbrt (* (exp im) (exp im))) (pow (exp im) 6) (fabs (exp im)) (fabs (exp im)) (pow (cbrt (exp im)) 4) (cbrt (* (exp im) (exp im))) (exp im) (exp im) 1 (pow (exp im) 2) (exp im) (exp im) 2 (* 2 (cbrt im)) (* 2 (sqrt im)) (+ im im) (pow (cbrt (exp im)) 5) (pow (exp im) 3/2) (exp im) (pow (cbrt (exp im)) 4) (pow (exp im) 3/2) (pow (exp im) 2) (expm1 (pow (exp (- im)) 3)) (log1p (pow (exp (- im)) 3)) (* -3 im) (* -3 im) 3 (* (cbrt (- im)) 3) (* (sqrt (- im)) 3) (* -3 im) (* im 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (* (- (cbrt im)) 3) (* (- (sqrt im)) 3) (* -3 im) (pow (exp (- im)) (* (cbrt 3) (cbrt 3))) (pow (exp (- im)) (sqrt 3)) (exp (- im)) (pow (exp im) -2) (exp (- im)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) 1 (pow (exp (* -1 im)) 3) (pow (exp im) -2) (* -3 im) (exp (pow (exp (- im)) 3)) (pow (exp im) -2) (exp (- im)) (pow (pow (exp (* -1 im)) 3) 3) (pow (exp im) -2) (exp (- im)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) 1 (pow (exp (* -1 im)) 3) 1 (pow (exp im) 3) 1 (pow (exp im) 3) (pow (exp im) -2) (sqrt (pow (exp (- im)) 3)) (sqrt (pow (exp (- im)) 3)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) (fma (fma im im im) 2 (* 4/3 (pow im 3))) (expm1 (+ im im)) (expm1 (+ im im)) (fma 3 im (fma 9/2 (pow im 2) 1)) (pow (exp im) 3) (pow (exp im) 3) (fma (fma im im im) 2 1) (pow (exp im) 2) (pow (exp im) 2) (fma -3 im (fma 9/2 (pow im 2) 1)) (pow (exp (* -1 im)) 3) (pow (exp (* -1 im)) 3) 1.168 * * * [progress]: adding candidates to table 1.582 * [progress]: [Phase 3 of 3] Extracting. 1.582 * * [regime]: Finding splitpoints for: (# #) 1.583 * * * [regime-changes]: Trying 4 branch expressions: ((cos re) (* 0.5 (cos re)) im re) 1.583 * * * * [regimes]: Trying to branch on (cos re) from (# #) 1.598 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 1.612 * * * * [regimes]: Trying to branch on im from (# #) 1.628 * * * * [regimes]: Trying to branch on re from (# #) 1.641 * * * [regime]: Found split indices: #