13.571 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.087 * [progress]: [Phase 2 of 3] Improving. 0.087 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.089 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.091 * * [simplify]: iteration 1 : 60 enodes (cost 7 ) 0.093 * * [simplify]: iteration 2 : 112 enodes (cost 7 ) 0.095 * * [simplify]: iteration 3 : 236 enodes (cost 7 ) 0.098 * * [simplify]: iteration 4 : 520 enodes (cost 6 ) 0.102 * * [simplify]: iteration 5 : 702 enodes (cost 6 ) 0.111 * * [simplify]: iteration 6 : 1514 enodes (cost 6 ) 0.123 * * [simplify]: iteration 7 : 2284 enodes (cost 6 ) 0.163 * * [simplify]: iteration 8 : 5001 enodes (cost 6 ) 0.164 * [simplify]: Simplified to: (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 0.166 * * [progress]: iteration 1 / 4 0.166 * * * [progress]: picking best candidate 0.169 * * * * [pick]: Picked # 0.169 * * * [progress]: localizing error 0.183 * * * [progress]: generating rewritten candidates 0.183 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.189 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.199 * * * [progress]: generating series expansions 0.199 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.200 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.200 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.200 * [taylor]: Taking taylor expansion of (exp im) in im 0.200 * [taylor]: Taking taylor expansion of im in im 0.200 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.200 * [taylor]: Taking taylor expansion of (- im) in im 0.200 * [taylor]: Taking taylor expansion of im in im 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 0.216 * [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 0.218 * [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 (/ 1 im) in im 0.218 * [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 0.221 * [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 0.221 * [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 0.222 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.222 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.222 * [taylor]: Taking taylor expansion of im in im 0.224 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.224 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.224 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.224 * [taylor]: Taking taylor expansion of 0.5 in im 0.224 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.224 * [taylor]: Taking taylor expansion of (cos re) in im 0.224 * [taylor]: Taking taylor expansion of re in im 0.224 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- 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 (exp (- im)) in im 0.224 * [taylor]: Taking taylor expansion of (- im) in im 0.224 * [taylor]: Taking taylor expansion of im in im 0.225 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.225 * [taylor]: Taking taylor expansion of 0.5 in re 0.225 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.225 * [taylor]: Taking taylor expansion of (cos re) in re 0.225 * [taylor]: Taking taylor expansion of re in re 0.225 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.225 * [taylor]: Taking taylor expansion of (exp im) in re 0.225 * [taylor]: Taking taylor expansion of im in re 0.225 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.225 * [taylor]: Taking taylor expansion of (- im) in re 0.225 * [taylor]: Taking taylor expansion of im in re 0.225 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.225 * [taylor]: Taking taylor expansion of 0.5 in re 0.225 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.225 * [taylor]: Taking taylor expansion of (cos re) in re 0.225 * [taylor]: Taking taylor expansion of re in re 0.225 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.225 * [taylor]: Taking taylor expansion of (exp im) in re 0.225 * [taylor]: Taking taylor expansion of im in re 0.225 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.225 * [taylor]: Taking taylor expansion of (- im) in re 0.225 * [taylor]: Taking taylor expansion of im in re 0.226 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.226 * [taylor]: Taking taylor expansion of 0.5 in im 0.226 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.226 * [taylor]: Taking taylor expansion of (exp im) in im 0.226 * [taylor]: Taking taylor expansion of im in im 0.226 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.226 * [taylor]: Taking taylor expansion of (- im) in im 0.226 * [taylor]: Taking taylor expansion of im in im 0.229 * [taylor]: Taking taylor expansion of 0 in im 0.235 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.235 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.235 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.235 * [taylor]: Taking taylor expansion of 0.25 in im 0.235 * [taylor]: Taking taylor expansion of (exp im) in im 0.235 * [taylor]: Taking taylor expansion of im in im 0.235 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.235 * [taylor]: Taking taylor expansion of 0.25 in im 0.235 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.235 * [taylor]: Taking taylor expansion of (- im) in im 0.235 * [taylor]: Taking taylor expansion of im in im 0.242 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.242 * [taylor]: Taking taylor expansion of 0.5 in im 0.242 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.242 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.242 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.242 * [taylor]: Taking taylor expansion of re in im 0.242 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.242 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.242 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.242 * [taylor]: Taking taylor expansion of im in im 0.242 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.242 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.242 * [taylor]: Taking taylor expansion of im in im 0.243 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.243 * [taylor]: Taking taylor expansion of 0.5 in re 0.243 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.243 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.243 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.243 * [taylor]: Taking taylor expansion of re in re 0.243 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.243 * [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 (/ 1 im) in re 0.243 * [taylor]: Taking taylor expansion of im in re 0.243 * [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 0.244 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.244 * [taylor]: Taking taylor expansion of 0.5 in re 0.244 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.244 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.244 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.244 * [taylor]: Taking taylor expansion of re in re 0.244 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.244 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.244 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.244 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.244 * [taylor]: Taking taylor expansion of im in re 0.244 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.244 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.244 * [taylor]: Taking taylor expansion of im in re 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.245 * [taylor]: Taking taylor expansion of 0.5 in im 0.245 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.245 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.245 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.245 * [taylor]: Taking taylor expansion of re in im 0.245 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.245 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.245 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.245 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.245 * [taylor]: Taking taylor expansion of im in im 0.246 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.246 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.246 * [taylor]: Taking taylor expansion of im in im 0.249 * [taylor]: Taking taylor expansion of 0 in im 0.256 * [taylor]: Taking taylor expansion of 0 in im 0.269 * [taylor]: Taking taylor expansion of 0 in im 0.270 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 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 0.271 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.271 * [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 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.271 * [taylor]: Taking taylor expansion of 0.5 in re 0.271 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.271 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.271 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.271 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.271 * [taylor]: Taking taylor expansion of -1 in re 0.271 * [taylor]: Taking taylor expansion of im in re 0.271 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.271 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.271 * [taylor]: Taking taylor expansion of im in re 0.271 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.271 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.271 * [taylor]: Taking taylor expansion of -1 in re 0.271 * [taylor]: Taking taylor expansion of re in re 0.272 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.272 * [taylor]: Taking taylor expansion of 0.5 in re 0.272 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.272 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.272 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.272 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.272 * [taylor]: Taking taylor expansion of -1 in re 0.272 * [taylor]: Taking taylor expansion of im in re 0.272 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.272 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.272 * [taylor]: Taking taylor expansion of im in re 0.272 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.272 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.272 * [taylor]: Taking taylor expansion of -1 in re 0.272 * [taylor]: Taking taylor expansion of re in re 0.273 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.273 * [taylor]: Taking taylor expansion of 0.5 in im 0.273 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.273 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.273 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.273 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.273 * [taylor]: Taking taylor expansion of -1 in im 0.273 * [taylor]: Taking taylor expansion of im in im 0.273 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.273 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.273 * [taylor]: Taking taylor expansion of im in im 0.274 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.274 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.274 * [taylor]: Taking taylor expansion of -1 in im 0.274 * [taylor]: Taking taylor expansion of re in im 0.277 * [taylor]: Taking taylor expansion of 0 in im 0.282 * [taylor]: Taking taylor expansion of 0 in im 0.289 * [taylor]: Taking taylor expansion of 0 in im 0.290 * * * [progress]: simplifying candidates 0.290 * [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))) 0.295 * * [simplify]: iteration 0 : 258 enodes (cost 374 ) 0.301 * * [simplify]: iteration 1 : 1276 enodes (cost 311 ) 0.328 * * [simplify]: iteration 2 : 5002 enodes (cost 307 ) 0.330 * [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))) 0.330 * * * [progress]: adding candidates to table 0.426 * * [progress]: iteration 2 / 4 0.426 * * * [progress]: picking best candidate 0.429 * * * * [pick]: Picked # 0.429 * * * [progress]: localizing error 0.442 * * * [progress]: generating rewritten candidates 0.442 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.445 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.450 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 0.459 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.470 * * * [progress]: generating series expansions 0.470 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.470 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.470 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.470 * [taylor]: Taking taylor expansion of 0.5 in im 0.470 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.470 * [taylor]: Taking taylor expansion of (cos re) in im 0.470 * [taylor]: Taking taylor expansion of re in im 0.471 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.471 * [taylor]: Taking taylor expansion of (exp im) in im 0.471 * [taylor]: Taking taylor expansion of im in im 0.471 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.471 * [taylor]: Taking taylor expansion of (- im) in im 0.471 * [taylor]: Taking taylor expansion of im in im 0.471 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.471 * [taylor]: Taking taylor expansion of 0.5 in re 0.471 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.472 * [taylor]: Taking taylor expansion of (cos re) in re 0.472 * [taylor]: Taking taylor expansion of re in re 0.472 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.472 * [taylor]: Taking taylor expansion of (exp im) in re 0.472 * [taylor]: Taking taylor expansion of im in re 0.472 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.472 * [taylor]: Taking taylor expansion of (- im) in re 0.472 * [taylor]: Taking taylor expansion of im in re 0.472 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.472 * [taylor]: Taking taylor expansion of 0.5 in re 0.472 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.472 * [taylor]: Taking taylor expansion of (cos re) in re 0.472 * [taylor]: Taking taylor expansion of re in re 0.472 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.472 * [taylor]: Taking taylor expansion of (exp im) in re 0.472 * [taylor]: Taking taylor expansion of im in re 0.472 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.472 * [taylor]: Taking taylor expansion of (- im) in re 0.472 * [taylor]: Taking taylor expansion of im in re 0.472 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.472 * [taylor]: Taking taylor expansion of 0.5 in im 0.472 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.472 * [taylor]: Taking taylor expansion of (exp im) in im 0.472 * [taylor]: Taking taylor expansion of im in im 0.472 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.472 * [taylor]: Taking taylor expansion of (- im) in im 0.472 * [taylor]: Taking taylor expansion of im in im 0.476 * [taylor]: Taking taylor expansion of 0 in im 0.482 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.482 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.482 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.482 * [taylor]: Taking taylor expansion of 0.25 in im 0.482 * [taylor]: Taking taylor expansion of (exp im) in im 0.482 * [taylor]: Taking taylor expansion of im in im 0.482 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.482 * [taylor]: Taking taylor expansion of 0.25 in im 0.482 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.482 * [taylor]: Taking taylor expansion of (- im) in im 0.482 * [taylor]: Taking taylor expansion of im in im 0.488 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.488 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.488 * [taylor]: Taking taylor expansion of 0.5 in im 0.488 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.488 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.488 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.488 * [taylor]: Taking taylor expansion of re in im 0.488 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (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 (/ 1 im) in im 0.488 * [taylor]: Taking taylor expansion of im in im 0.489 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.489 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.489 * [taylor]: Taking taylor expansion of im in im 0.489 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.489 * [taylor]: Taking taylor expansion of 0.5 in re 0.489 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.489 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.489 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.489 * [taylor]: Taking taylor expansion of re in re 0.490 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.490 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.490 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.490 * [taylor]: Taking taylor expansion of im in re 0.490 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.490 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.490 * [taylor]: Taking taylor expansion of im in re 0.490 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.490 * [taylor]: Taking taylor expansion of 0.5 in re 0.490 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.490 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.490 * [taylor]: Taking taylor expansion of re in re 0.490 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.491 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.491 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.491 * [taylor]: Taking taylor expansion of im in re 0.491 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.491 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.491 * [taylor]: Taking taylor expansion of im in re 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.491 * [taylor]: Taking taylor expansion of 0.5 in im 0.491 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.491 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.491 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.491 * [taylor]: Taking taylor expansion of re in im 0.491 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.491 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.491 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.491 * [taylor]: Taking taylor expansion of im in im 0.492 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.492 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.492 * [taylor]: Taking taylor expansion of im in im 0.495 * [taylor]: Taking taylor expansion of 0 in im 0.502 * [taylor]: Taking taylor expansion of 0 in im 0.510 * [taylor]: Taking taylor expansion of 0 in im 0.511 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.511 * [taylor]: Taking taylor expansion of 0.5 in im 0.511 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.511 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.511 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.511 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.511 * [taylor]: Taking taylor expansion of -1 in im 0.511 * [taylor]: Taking taylor expansion of im in im 0.511 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.511 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.511 * [taylor]: Taking taylor expansion of im in im 0.512 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.512 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.512 * [taylor]: Taking taylor expansion of -1 in im 0.512 * [taylor]: Taking taylor expansion of re in im 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.512 * [taylor]: Taking taylor expansion of 0.5 in re 0.512 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.512 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.512 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.512 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.512 * [taylor]: Taking taylor expansion of -1 in re 0.512 * [taylor]: Taking taylor expansion of im in re 0.512 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.512 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.512 * [taylor]: Taking taylor expansion of im in re 0.512 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.512 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.512 * [taylor]: Taking taylor expansion of -1 in re 0.512 * [taylor]: Taking taylor expansion of re in re 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.512 * [taylor]: Taking taylor expansion of 0.5 in re 0.512 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.513 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.513 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.513 * [taylor]: Taking taylor expansion of -1 in re 0.513 * [taylor]: Taking taylor expansion of im in re 0.513 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.513 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.513 * [taylor]: Taking taylor expansion of im in re 0.513 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.513 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.513 * [taylor]: Taking taylor expansion of -1 in re 0.513 * [taylor]: Taking taylor expansion of re in re 0.513 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.514 * [taylor]: Taking taylor expansion of 0.5 in im 0.514 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.514 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.514 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.514 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.514 * [taylor]: Taking taylor expansion of -1 in im 0.514 * [taylor]: Taking taylor expansion of im in im 0.514 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.514 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.514 * [taylor]: Taking taylor expansion of im in im 0.514 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.514 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.514 * [taylor]: Taking taylor expansion of -1 in im 0.514 * [taylor]: Taking taylor expansion of re in im 0.517 * [taylor]: Taking taylor expansion of 0 in im 0.523 * [taylor]: Taking taylor expansion of 0 in im 0.530 * [taylor]: Taking taylor expansion of 0 in im 0.530 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.531 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in (re im) around 0 0.531 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in im 0.531 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.531 * [taylor]: Taking taylor expansion of 0.5 in im 0.531 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.531 * [taylor]: Taking taylor expansion of (cos re) in im 0.531 * [taylor]: Taking taylor expansion of re in im 0.531 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.531 * [taylor]: Taking taylor expansion of (exp im) in im 0.531 * [taylor]: Taking taylor expansion of im in im 0.531 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.531 * [taylor]: Taking taylor expansion of (- im) in im 0.531 * [taylor]: Taking taylor expansion of im in im 0.532 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re 0.532 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.532 * [taylor]: Taking taylor expansion of 0.5 in re 0.532 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.532 * [taylor]: Taking taylor expansion of (cos re) in re 0.532 * [taylor]: Taking taylor expansion of re in re 0.532 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.532 * [taylor]: Taking taylor expansion of (exp im) in re 0.532 * [taylor]: Taking taylor expansion of im in re 0.532 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.532 * [taylor]: Taking taylor expansion of (- im) in re 0.532 * [taylor]: Taking taylor expansion of im in re 0.532 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re 0.533 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.533 * [taylor]: Taking taylor expansion of 0.5 in re 0.533 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.533 * [taylor]: Taking taylor expansion of (cos re) in re 0.533 * [taylor]: Taking taylor expansion of re in re 0.533 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.533 * [taylor]: Taking taylor expansion of (exp im) in re 0.533 * [taylor]: Taking taylor expansion of im in re 0.533 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.533 * [taylor]: Taking taylor expansion of (- im) in re 0.533 * [taylor]: Taking taylor expansion of im in re 0.533 * [taylor]: Taking taylor expansion of (exp (* 0.5 (+ (exp im) (exp (- im))))) in im 0.533 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.533 * [taylor]: Taking taylor expansion of 0.5 in im 0.533 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.533 * [taylor]: Taking taylor expansion of (exp im) in im 0.533 * [taylor]: Taking taylor expansion of im in im 0.533 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.533 * [taylor]: Taking taylor expansion of (- im) in im 0.533 * [taylor]: Taking taylor expansion of im in im 0.538 * [taylor]: Taking taylor expansion of 0 in im 0.545 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))))) in im 0.545 * [taylor]: Taking taylor expansion of -1 in im 0.545 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.545 * [taylor]: Taking taylor expansion of (exp (* 0.5 (+ (exp im) (exp (- im))))) in im 0.545 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.545 * [taylor]: Taking taylor expansion of 0.5 in im 0.545 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.545 * [taylor]: Taking taylor expansion of (exp im) in im 0.545 * [taylor]: Taking taylor expansion of im in im 0.545 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.545 * [taylor]: Taking taylor expansion of (- im) in im 0.545 * [taylor]: Taking taylor expansion of im in im 0.547 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.552 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.552 * [taylor]: Taking taylor expansion of 0.25 in im 0.552 * [taylor]: Taking taylor expansion of (exp im) in im 0.552 * [taylor]: Taking taylor expansion of im in im 0.552 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.552 * [taylor]: Taking taylor expansion of 0.25 in im 0.552 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.552 * [taylor]: Taking taylor expansion of (- im) in im 0.552 * [taylor]: Taking taylor expansion of im in im 0.565 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0 0.566 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.566 * [taylor]: Taking taylor expansion of 0.5 in im 0.566 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.566 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.566 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.566 * [taylor]: Taking taylor expansion of re in im 0.566 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.566 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.566 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.566 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.566 * [taylor]: Taking taylor expansion of im in im 0.566 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.566 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.566 * [taylor]: Taking taylor expansion of im in im 0.568 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 0.568 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.568 * [taylor]: Taking taylor expansion of 0.5 in re 0.568 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.568 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.568 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.568 * [taylor]: Taking taylor expansion of re in re 0.568 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.568 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.568 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.568 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.568 * [taylor]: Taking taylor expansion of im in re 0.568 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.568 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.568 * [taylor]: Taking taylor expansion of im in re 0.569 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 0.569 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.569 * [taylor]: Taking taylor expansion of 0.5 in re 0.569 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.569 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.569 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.569 * [taylor]: Taking taylor expansion of re in re 0.569 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.569 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.569 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.569 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.569 * [taylor]: Taking taylor expansion of im in re 0.569 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.569 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.569 * [taylor]: Taking taylor expansion of im in re 0.570 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 0.570 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.570 * [taylor]: Taking taylor expansion of 0.5 in im 0.570 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.570 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.570 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.570 * [taylor]: Taking taylor expansion of re in im 0.570 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.570 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.570 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.570 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.570 * [taylor]: Taking taylor expansion of im in im 0.571 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.571 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.571 * [taylor]: Taking taylor expansion of im in im 0.575 * [taylor]: Taking taylor expansion of 0 in im 0.583 * [taylor]: Taking taylor expansion of 0 in im 0.593 * [taylor]: Taking taylor expansion of 0 in im 0.593 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in (re im) around 0 0.593 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im 0.593 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.593 * [taylor]: Taking taylor expansion of 0.5 in im 0.593 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 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 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 0.594 * [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 0.595 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re 0.595 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.595 * [taylor]: Taking taylor expansion of 0.5 in re 0.595 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.595 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.595 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.595 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.595 * [taylor]: Taking taylor expansion of -1 in re 0.595 * [taylor]: Taking taylor expansion of im in re 0.595 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.595 * [taylor]: Taking taylor expansion of im in re 0.595 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.595 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.595 * [taylor]: Taking taylor expansion of -1 in re 0.595 * [taylor]: Taking taylor expansion of re in re 0.596 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re 0.596 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.596 * [taylor]: Taking taylor expansion of 0.5 in re 0.596 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.596 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.596 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.596 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.596 * [taylor]: Taking taylor expansion of -1 in re 0.596 * [taylor]: Taking taylor expansion of im in re 0.596 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.596 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.596 * [taylor]: Taking taylor expansion of im in re 0.596 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.597 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.597 * [taylor]: Taking taylor expansion of -1 in re 0.597 * [taylor]: Taking taylor expansion of re in re 0.597 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im 0.597 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.598 * [taylor]: Taking taylor expansion of 0.5 in im 0.598 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.598 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.598 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.598 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.598 * [taylor]: Taking taylor expansion of -1 in im 0.598 * [taylor]: Taking taylor expansion of im in im 0.598 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.598 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.598 * [taylor]: Taking taylor expansion of im in im 0.598 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.598 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.598 * [taylor]: Taking taylor expansion of -1 in im 0.598 * [taylor]: Taking taylor expansion of re in im 0.602 * [taylor]: Taking taylor expansion of 0 in im 0.609 * [taylor]: Taking taylor expansion of 0 in im 0.618 * [taylor]: Taking taylor expansion of 0 in im 0.619 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 0.619 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.619 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.619 * [taylor]: Taking taylor expansion of (exp im) in im 0.619 * [taylor]: Taking taylor expansion of im in im 0.619 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.619 * [taylor]: Taking taylor expansion of (- im) in im 0.619 * [taylor]: Taking taylor expansion of im in im 0.619 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.619 * [taylor]: Taking taylor expansion of (exp im) in im 0.619 * [taylor]: Taking taylor expansion of im in im 0.619 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.619 * [taylor]: Taking taylor expansion of (- im) in im 0.619 * [taylor]: Taking taylor expansion of im in im 0.635 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.635 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.635 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.635 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.635 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.635 * [taylor]: Taking taylor expansion of im in im 0.636 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.636 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.636 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.636 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.636 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.636 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.637 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.637 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.637 * [taylor]: Taking taylor expansion of im in im 0.645 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.645 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.645 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.645 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.645 * [taylor]: Taking taylor expansion of -1 in im 0.645 * [taylor]: Taking taylor expansion of im in im 0.645 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.645 * [taylor]: Taking taylor expansion of im in im 0.645 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) 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 (exp (/ 1 im)) in im 0.646 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.646 * [taylor]: Taking taylor expansion of im in im 0.648 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.648 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.648 * [taylor]: Taking taylor expansion of 0.5 in im 0.648 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.648 * [taylor]: Taking taylor expansion of (cos re) in im 0.648 * [taylor]: Taking taylor expansion of re in im 0.648 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.648 * [taylor]: Taking taylor expansion of (exp im) in im 0.648 * [taylor]: Taking taylor expansion of im in im 0.648 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.648 * [taylor]: Taking taylor expansion of (- im) in im 0.649 * [taylor]: Taking taylor expansion of im in im 0.649 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.649 * [taylor]: Taking taylor expansion of 0.5 in re 0.649 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.649 * [taylor]: Taking taylor expansion of (cos re) in re 0.649 * [taylor]: Taking taylor expansion of re in re 0.649 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.649 * [taylor]: Taking taylor expansion of (exp im) in re 0.649 * [taylor]: Taking taylor expansion of im in re 0.649 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.649 * [taylor]: Taking taylor expansion of (- im) in re 0.649 * [taylor]: Taking taylor expansion of im in re 0.649 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.649 * [taylor]: Taking taylor expansion of 0.5 in re 0.649 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.649 * [taylor]: Taking taylor expansion of (cos re) in re 0.649 * [taylor]: Taking taylor expansion of re in re 0.649 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.649 * [taylor]: Taking taylor expansion of (exp im) in re 0.649 * [taylor]: Taking taylor expansion of im in re 0.649 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.649 * [taylor]: Taking taylor expansion of (- im) in re 0.650 * [taylor]: Taking taylor expansion of im in re 0.650 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.650 * [taylor]: Taking taylor expansion of 0.5 in im 0.650 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.650 * [taylor]: Taking taylor expansion of (exp im) in im 0.650 * [taylor]: Taking taylor expansion of im in im 0.650 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.650 * [taylor]: Taking taylor expansion of (- im) in im 0.650 * [taylor]: Taking taylor expansion of im in im 0.653 * [taylor]: Taking taylor expansion of 0 in im 0.660 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.660 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.660 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.660 * [taylor]: Taking taylor expansion of 0.25 in im 0.660 * [taylor]: Taking taylor expansion of (exp im) in im 0.660 * [taylor]: Taking taylor expansion of im in im 0.660 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.660 * [taylor]: Taking taylor expansion of 0.25 in im 0.660 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.660 * [taylor]: Taking taylor expansion of (- im) in im 0.660 * [taylor]: Taking taylor expansion of im in im 0.666 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.666 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.666 * [taylor]: Taking taylor expansion of 0.5 in im 0.666 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.666 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.666 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.666 * [taylor]: Taking taylor expansion of re in im 0.667 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.667 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.667 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.667 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.667 * [taylor]: Taking taylor expansion of im in im 0.667 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.667 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.667 * [taylor]: Taking taylor expansion of im in im 0.668 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.668 * [taylor]: Taking taylor expansion of 0.5 in re 0.668 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.668 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.668 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.668 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.668 * [taylor]: Taking taylor expansion of im in re 0.668 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.668 * [taylor]: Taking taylor expansion of im in re 0.668 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.668 * [taylor]: Taking taylor expansion of 0.5 in re 0.668 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.668 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.669 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.669 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.669 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.669 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.669 * [taylor]: Taking taylor expansion of im in re 0.669 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.669 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.669 * [taylor]: Taking taylor expansion of im in re 0.669 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.669 * [taylor]: Taking taylor expansion of 0.5 in im 0.669 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.669 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.669 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.669 * [taylor]: Taking taylor expansion of re in im 0.670 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.670 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.670 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.670 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.670 * [taylor]: Taking taylor expansion of im in im 0.670 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.670 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.670 * [taylor]: Taking taylor expansion of im in im 0.674 * [taylor]: Taking taylor expansion of 0 in im 0.680 * [taylor]: Taking taylor expansion of 0 in im 0.688 * [taylor]: Taking taylor expansion of 0 in im 0.689 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.689 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.689 * [taylor]: Taking taylor expansion of 0.5 in im 0.689 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.689 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.689 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.689 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.689 * [taylor]: Taking taylor expansion of -1 in im 0.689 * [taylor]: Taking taylor expansion of im in im 0.689 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.689 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.689 * [taylor]: Taking taylor expansion of im in im 0.689 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.689 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.690 * [taylor]: Taking taylor expansion of -1 in im 0.690 * [taylor]: Taking taylor expansion of re in im 0.690 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.690 * [taylor]: Taking taylor expansion of 0.5 in re 0.690 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.690 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.690 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.690 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.690 * [taylor]: Taking taylor expansion of -1 in re 0.690 * [taylor]: Taking taylor expansion of im in re 0.690 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.690 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.690 * [taylor]: Taking taylor expansion of im in re 0.690 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.690 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.690 * [taylor]: Taking taylor expansion of -1 in re 0.690 * [taylor]: Taking taylor expansion of re in re 0.690 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.690 * [taylor]: Taking taylor expansion of 0.5 in re 0.690 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.690 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.690 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.690 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.690 * [taylor]: Taking taylor expansion of -1 in re 0.690 * [taylor]: Taking taylor expansion of im in re 0.691 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.691 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.691 * [taylor]: Taking taylor expansion of im in re 0.691 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.691 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.691 * [taylor]: Taking taylor expansion of -1 in re 0.691 * [taylor]: Taking taylor expansion of re in re 0.691 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.691 * [taylor]: Taking taylor expansion of 0.5 in im 0.691 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.691 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.691 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.691 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.692 * [taylor]: Taking taylor expansion of -1 in im 0.692 * [taylor]: Taking taylor expansion of im in im 0.692 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.692 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.692 * [taylor]: Taking taylor expansion of im in im 0.692 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.692 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.692 * [taylor]: Taking taylor expansion of -1 in im 0.692 * [taylor]: Taking taylor expansion of re in im 0.695 * [taylor]: Taking taylor expansion of 0 in im 0.701 * [taylor]: Taking taylor expansion of 0 in im 0.708 * [taylor]: Taking taylor expansion of 0 in im 0.709 * * * [progress]: simplifying candidates 0.710 * [simplify]: Simplifying using # : (expm1 (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log1p (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (exp (* (* 0.5 (cos re)) (exp (- im))))) (log (exp (* (* 0.5 (cos re)) (exp im)))) (log (exp (* (exp (- im)) (* 0.5 (cos re))))) (log (exp (* (exp im) (* 0.5 (cos re))))) (log (* (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))) (log (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log 1) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (log (exp (* 0.5 (cos re)))) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (log (exp (* 0.5 (cos re)))) (log (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (exp (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (* (cbrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (cbrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))) (cbrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (* (* (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (sqrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (sqrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (expm1 (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (log1p (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (exp (* 0.5 (cos re))) (exp (* (* 0.5 (cos re)) (exp (- im)))) (exp (* (* 0.5 (cos re)) (exp im))) (exp (* (exp (- im)) (* 0.5 (cos re)))) (exp (* (exp im) (* 0.5 (cos re)))) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (exp (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (* (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (* (* (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (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)) 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(cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (exp (- im))) (* (* 0.5 (cos re)) (exp im)) (* (exp (- im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (- (+ (exp 1.0) (* 0.5 (* (exp 1.0) (pow im 2)))) (* 0.5 (* (exp 1.0) (pow re 2)))) (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) (exp (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re)))) (+ (* 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))) 0.716 * * [simplify]: iteration 0 : 323 enodes (cost 734 ) 0.722 * * [simplify]: iteration 1 : 1463 enodes (cost 624 ) 0.754 * * [simplify]: iteration 2 : 5002 enodes (cost 617 ) 0.758 * [simplify]: Simplified to: (expm1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log1p (* (* 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)) (* 2 (log (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp 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[progress]: adding candidates to table 0.957 * [progress]: [Phase 3 of 3] Extracting. 0.957 * * [regime]: Finding splitpoints for: (# #) 0.958 * * * [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) 0.958 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# #) 0.974 * * * * [regimes]: Trying to branch on (cos re) from (# #) 0.992 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 1.007 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# #) 1.031 * * * * [regimes]: Trying to branch on im from (# #) 1.044 * * * * [regimes]: Trying to branch on re from (# #) 1.056 * * * [regime]: Found split indices: #