23.548 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.089 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.092 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.093 * * [simplify]: iteration 0 : 10 enodes (cost 11 ) 0.094 * * [simplify]: iteration 1 : 23 enodes (cost 11 ) 0.098 * * [simplify]: iteration 2 : 58 enodes (cost 11 ) 0.107 * * [simplify]: iteration 3 : 98 enodes (cost 11 ) 0.152 * * [simplify]: iteration 4 : 204 enodes (cost 11 ) 0.190 * * [simplify]: iteration 5 : 272 enodes (cost 11 ) 0.238 * * [simplify]: iteration 6 : 357 enodes (cost 11 ) 0.352 * * [simplify]: iteration 7 : 600 enodes (cost 11 ) 0.508 * * [simplify]: iteration 8 : 700 enodes (cost 11 ) 0.622 * * [simplify]: iteration 9 : 736 enodes (cost 11 ) 0.796 * * [simplify]: iteration 10 : 863 enodes (cost 11 ) 0.955 * * [simplify]: iteration 11 : 880 enodes (cost 11 ) 1.104 * * [simplify]: iteration done : 880 enodes (cost 11 ) 1.104 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 1.105 * * [progress]: iteration 1 / 4 1.105 * * * [progress]: picking best candidate 1.107 * * * * [pick]: Picked # 1.108 * * * [progress]: localizing error 1.118 * * * [progress]: generating rewritten candidates 1.118 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.146 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.160 * * * [progress]: generating series expansions 1.160 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.160 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 1.161 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 1.161 * [taylor]: Taking taylor expansion of 0.5 in im 1.161 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 1.161 * [taylor]: Taking taylor expansion of (cos re) in im 1.161 * [taylor]: Taking taylor expansion of re in im 1.161 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.161 * [taylor]: Taking taylor expansion of (exp im) in im 1.161 * [taylor]: Taking taylor expansion of im in im 1.161 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.161 * [taylor]: Taking taylor expansion of (- im) in im 1.161 * [taylor]: Taking taylor expansion of im in im 1.162 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.162 * [taylor]: Taking taylor expansion of 0.5 in re 1.162 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.162 * [taylor]: Taking taylor expansion of (cos re) in re 1.162 * [taylor]: Taking taylor expansion of re in re 1.162 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.162 * [taylor]: Taking taylor expansion of (exp im) in re 1.162 * [taylor]: Taking taylor expansion of im in re 1.162 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.162 * [taylor]: Taking taylor expansion of (- im) in re 1.162 * [taylor]: Taking taylor expansion of im in re 1.162 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.162 * [taylor]: Taking taylor expansion of 0.5 in re 1.162 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.162 * [taylor]: Taking taylor expansion of (cos re) in re 1.162 * [taylor]: Taking taylor expansion of re in re 1.162 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.162 * [taylor]: Taking taylor expansion of (exp im) in re 1.162 * [taylor]: Taking taylor expansion of im in re 1.162 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.162 * [taylor]: Taking taylor expansion of (- im) in re 1.162 * [taylor]: Taking taylor expansion of im in re 1.162 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 1.163 * [taylor]: Taking taylor expansion of 0.5 in im 1.163 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.163 * [taylor]: Taking taylor expansion of (exp im) in im 1.163 * [taylor]: Taking taylor expansion of im in im 1.163 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.163 * [taylor]: Taking taylor expansion of (- im) in im 1.163 * [taylor]: Taking taylor expansion of im in im 1.166 * [taylor]: Taking taylor expansion of 0 in im 1.173 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 1.173 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 1.173 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.173 * [taylor]: Taking taylor expansion of 0.25 in im 1.173 * [taylor]: Taking taylor expansion of (exp im) in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.173 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 1.173 * [taylor]: Taking taylor expansion of 0.25 in im 1.173 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.173 * [taylor]: Taking taylor expansion of (- im) in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.179 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 1.179 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.179 * [taylor]: Taking taylor expansion of 0.5 in im 1.179 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.179 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.179 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.179 * [taylor]: Taking taylor expansion of re in im 1.179 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.179 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.179 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.179 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.179 * [taylor]: Taking taylor expansion of im in im 1.180 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.180 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.180 * [taylor]: Taking taylor expansion of im in im 1.180 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.180 * [taylor]: Taking taylor expansion of 0.5 in re 1.180 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.180 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.180 * [taylor]: Taking taylor expansion of re in re 1.181 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.181 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.181 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.181 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.181 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.181 * [taylor]: Taking taylor expansion of 0.5 in re 1.181 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.181 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.181 * [taylor]: Taking taylor expansion of re in re 1.181 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.181 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.181 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.182 * [taylor]: Taking taylor expansion of im in re 1.182 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.182 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.182 * [taylor]: Taking taylor expansion of im in re 1.182 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.182 * [taylor]: Taking taylor expansion of 0.5 in im 1.182 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.182 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.182 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.182 * [taylor]: Taking taylor expansion of re in im 1.182 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.182 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.182 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.182 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.182 * [taylor]: Taking taylor expansion of im in im 1.183 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.183 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.183 * [taylor]: Taking taylor expansion of im in im 1.186 * [taylor]: Taking taylor expansion of 0 in im 1.193 * [taylor]: Taking taylor expansion of 0 in im 1.202 * [taylor]: Taking taylor expansion of 0 in im 1.202 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 1.202 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.202 * [taylor]: Taking taylor expansion of 0.5 in im 1.202 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.202 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.202 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.202 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.202 * [taylor]: Taking taylor expansion of -1 in im 1.202 * [taylor]: Taking taylor expansion of im in im 1.202 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.203 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.203 * [taylor]: Taking taylor expansion of im in im 1.203 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.203 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.203 * [taylor]: Taking taylor expansion of -1 in im 1.203 * [taylor]: Taking taylor expansion of re in im 1.203 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.203 * [taylor]: Taking taylor expansion of 0.5 in re 1.203 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.203 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.203 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.203 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.203 * [taylor]: Taking taylor expansion of -1 in re 1.203 * [taylor]: Taking taylor expansion of im in re 1.203 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.203 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.203 * [taylor]: Taking taylor expansion of im in re 1.203 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.203 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.203 * [taylor]: Taking taylor expansion of -1 in re 1.203 * [taylor]: Taking taylor expansion of re in re 1.204 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.204 * [taylor]: Taking taylor expansion of 0.5 in re 1.204 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.204 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.204 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.204 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.204 * [taylor]: Taking taylor expansion of -1 in re 1.204 * [taylor]: Taking taylor expansion of im in re 1.204 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.204 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.204 * [taylor]: Taking taylor expansion of im in re 1.204 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.204 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.204 * [taylor]: Taking taylor expansion of -1 in re 1.204 * [taylor]: Taking taylor expansion of re in re 1.205 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.205 * [taylor]: Taking taylor expansion of 0.5 in im 1.205 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.205 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.205 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.205 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.205 * [taylor]: Taking taylor expansion of -1 in im 1.205 * [taylor]: Taking taylor expansion of im in im 1.205 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.205 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.205 * [taylor]: Taking taylor expansion of im in im 1.205 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.206 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.206 * [taylor]: Taking taylor expansion of -1 in im 1.206 * [taylor]: Taking taylor expansion of re in im 1.208 * [taylor]: Taking taylor expansion of 0 in im 1.214 * [taylor]: Taking taylor expansion of 0 in im 1.221 * [taylor]: Taking taylor expansion of 0 in im 1.221 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.221 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 1.221 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.221 * [taylor]: Taking taylor expansion of (exp im) in im 1.221 * [taylor]: Taking taylor expansion of im in im 1.221 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.221 * [taylor]: Taking taylor expansion of (- im) in im 1.221 * [taylor]: Taking taylor expansion of im in im 1.222 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.222 * [taylor]: Taking taylor expansion of (exp im) in im 1.222 * [taylor]: Taking taylor expansion of im in im 1.222 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.222 * [taylor]: Taking taylor expansion of (- im) in im 1.222 * [taylor]: Taking taylor expansion of im in im 1.237 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 1.237 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.237 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.237 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.237 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.237 * [taylor]: Taking taylor expansion of im in im 1.238 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.238 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.238 * [taylor]: Taking taylor expansion of im in im 1.243 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.243 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.243 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.243 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.243 * [taylor]: Taking taylor expansion of im in im 1.244 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.244 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.244 * [taylor]: Taking taylor expansion of im in im 1.246 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.246 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.246 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.246 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.246 * [taylor]: Taking taylor expansion of -1 in im 1.246 * [taylor]: Taking taylor expansion of im in im 1.246 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.246 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.246 * [taylor]: Taking taylor expansion of im in im 1.247 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.247 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.247 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.247 * [taylor]: Taking taylor expansion of -1 in im 1.247 * [taylor]: Taking taylor expansion of im in im 1.247 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.247 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.247 * [taylor]: Taking taylor expansion of im in im 1.249 * * * [progress]: simplifying candidates 1.250 * [simplify]: Simplifying using # : (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)))) (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)) (- (+ (* 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))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 1.252 * * [simplify]: iteration 0 : 91 enodes (cost 586 ) 1.270 * * [simplify]: iteration 1 : 256 enodes (cost 566 ) 1.366 * * [simplify]: iteration 2 : 969 enodes (cost 488 ) 2.703 * * [simplify]: iteration 3 : 4245 enodes (cost 471 ) 3.995 * * [simplify]: iteration done : 5001 enodes (cost 471 ) 3.996 * [simplify]: Simplified to: (expm1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log1p (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (+ (exp im) (exp (- im))) (* 0.5 (cos re))) (* (+ (exp im) (exp (- im))) (* 0.5 (cos re))) (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 (* (+ (exp im) (exp (- im))) (* 0.5 (cos re))) 3) (pow (* (+ (exp im) (exp (- im))) (* 0.5 (cos re))) 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 (* (+ (exp im) (exp (- im))) (* 0.5 (cos re))) 3) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))) (* (/ (cos re) (exp im)) 0.5) (* (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)) (* 0.5 (cos re)) (* (+ (exp im) (exp (- im))) (cos re)) (* (* 0.5 (cos re)) (+ (exp (* im -3)) (exp (* 3 im)))) (* (* (- (exp (* im -2)) (exp (+ im im))) 0.5) (cos re)) (expm1 (+ (exp (- im)) (exp im))) (log1p (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (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))) (pow (+ (exp (- im)) (exp im)) 3) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (exp (* im -3)) (exp (* 3 im))) (+ (exp (* im -2)) (expm1 (+ im im))) (- (exp (* im -2)) (exp (+ im im))) (- (exp (- im)) (exp im)) (+ (exp im) (exp (- im))) (+ (* 0.5 (- (pow im 2) (pow re 2))) 1.0) (* (+ (exp im) (exp (- im))) (* 0.5 (cos re))) (* (+ (exp im) (exp (- im))) (* 0.5 (cos re))) (fma (pow im 4) 1/12 (fma im im 2)) (+ (exp im) (exp (- im))) (+ (exp im) (exp (- im))) 3.996 * * * [progress]: adding candidates to table 4.118 * * [progress]: iteration 2 / 4 4.118 * * * [progress]: picking best candidate 4.122 * * * * [pick]: Picked # 4.122 * * * [progress]: localizing error 4.132 * * * [progress]: generating rewritten candidates 4.132 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 4.136 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.147 * * * [progress]: generating series expansions 4.147 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 4.147 * [approximate]: Taking taylor expansion of (/ (cos re) (exp im)) in (re im) around 0 4.147 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 4.147 * [taylor]: Taking taylor expansion of (cos re) in im 4.147 * [taylor]: Taking taylor expansion of re in im 4.147 * [taylor]: Taking taylor expansion of (exp im) in im 4.147 * [taylor]: Taking taylor expansion of im in im 4.148 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 4.148 * [taylor]: Taking taylor expansion of (cos re) in re 4.148 * [taylor]: Taking taylor expansion of re in re 4.148 * [taylor]: Taking taylor expansion of (exp im) in re 4.148 * [taylor]: Taking taylor expansion of im in re 4.148 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 4.148 * [taylor]: Taking taylor expansion of (cos re) in re 4.148 * [taylor]: Taking taylor expansion of re in re 4.148 * [taylor]: Taking taylor expansion of (exp im) in re 4.148 * [taylor]: Taking taylor expansion of im in re 4.148 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 4.148 * [taylor]: Taking taylor expansion of (exp im) in im 4.148 * [taylor]: Taking taylor expansion of im in im 4.149 * [taylor]: Taking taylor expansion of 0 in im 4.152 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (exp im)))) in im 4.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (exp im))) in im 4.152 * [taylor]: Taking taylor expansion of 1/2 in im 4.152 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 4.152 * [taylor]: Taking taylor expansion of (exp im) in im 4.152 * [taylor]: Taking taylor expansion of im in im 4.153 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in (re im) around 0 4.153 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.153 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.153 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.153 * [taylor]: Taking taylor expansion of re in im 4.153 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.153 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.153 * [taylor]: Taking taylor expansion of im in im 4.154 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.154 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.154 * [taylor]: Taking taylor expansion of re in re 4.154 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.155 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.155 * [taylor]: Taking taylor expansion of im in re 4.155 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.155 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.155 * [taylor]: Taking taylor expansion of re in re 4.155 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.155 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.155 * [taylor]: Taking taylor expansion of im in re 4.155 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.155 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.155 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.155 * [taylor]: Taking taylor expansion of re in im 4.155 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.155 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.155 * [taylor]: Taking taylor expansion of im in im 4.157 * [taylor]: Taking taylor expansion of 0 in im 4.160 * [taylor]: Taking taylor expansion of 0 in im 4.164 * [taylor]: Taking taylor expansion of 0 in im 4.164 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in (re im) around 0 4.164 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.164 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.164 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.164 * [taylor]: Taking taylor expansion of -1 in im 4.164 * [taylor]: Taking taylor expansion of re in im 4.164 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.164 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.164 * [taylor]: Taking taylor expansion of -1 in im 4.164 * [taylor]: Taking taylor expansion of im in im 4.165 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.165 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.165 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.165 * [taylor]: Taking taylor expansion of -1 in re 4.165 * [taylor]: Taking taylor expansion of re in re 4.165 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.165 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.165 * [taylor]: Taking taylor expansion of -1 in re 4.165 * [taylor]: Taking taylor expansion of im in re 4.165 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.165 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.165 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.165 * [taylor]: Taking taylor expansion of -1 in re 4.165 * [taylor]: Taking taylor expansion of re in re 4.166 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.166 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.166 * [taylor]: Taking taylor expansion of -1 in re 4.166 * [taylor]: Taking taylor expansion of im in re 4.166 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.166 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.166 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.166 * [taylor]: Taking taylor expansion of -1 in im 4.166 * [taylor]: Taking taylor expansion of re in im 4.166 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.166 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.166 * [taylor]: Taking taylor expansion of -1 in im 4.166 * [taylor]: Taking taylor expansion of im in im 4.168 * [taylor]: Taking taylor expansion of 0 in im 4.171 * [taylor]: Taking taylor expansion of 0 in im 4.175 * [taylor]: Taking taylor expansion of 0 in im 4.175 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.175 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 4.175 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 4.175 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 4.175 * [taylor]: Taking taylor expansion of 0.5 in im 4.175 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 4.175 * [taylor]: Taking taylor expansion of (exp im) in im 4.175 * [taylor]: Taking taylor expansion of im in im 4.175 * [taylor]: Taking taylor expansion of (cos re) in im 4.175 * [taylor]: Taking taylor expansion of re in im 4.175 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 4.175 * [taylor]: Taking taylor expansion of 0.5 in im 4.175 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 4.175 * [taylor]: Taking taylor expansion of (cos re) in im 4.175 * [taylor]: Taking taylor expansion of re in im 4.175 * [taylor]: Taking taylor expansion of (exp im) in im 4.175 * [taylor]: Taking taylor expansion of im in im 4.176 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 4.176 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 4.176 * [taylor]: Taking taylor expansion of 0.5 in re 4.176 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 4.176 * [taylor]: Taking taylor expansion of (exp im) in re 4.176 * [taylor]: Taking taylor expansion of im in re 4.176 * [taylor]: Taking taylor expansion of (cos re) in re 4.176 * [taylor]: Taking taylor expansion of re in re 4.176 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 4.176 * [taylor]: Taking taylor expansion of 0.5 in re 4.176 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 4.176 * [taylor]: Taking taylor expansion of (cos re) in re 4.176 * [taylor]: Taking taylor expansion of re in re 4.176 * [taylor]: Taking taylor expansion of (exp im) in re 4.176 * [taylor]: Taking taylor expansion of im in re 4.176 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 4.176 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 4.176 * [taylor]: Taking taylor expansion of 0.5 in re 4.176 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 4.176 * [taylor]: Taking taylor expansion of (exp im) in re 4.176 * [taylor]: Taking taylor expansion of im in re 4.176 * [taylor]: Taking taylor expansion of (cos re) in re 4.176 * [taylor]: Taking taylor expansion of re in re 4.176 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 4.176 * [taylor]: Taking taylor expansion of 0.5 in re 4.176 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 4.176 * [taylor]: Taking taylor expansion of (cos re) in re 4.176 * [taylor]: Taking taylor expansion of re in re 4.176 * [taylor]: Taking taylor expansion of (exp im) in re 4.176 * [taylor]: Taking taylor expansion of im in re 4.177 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 4.177 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 4.177 * [taylor]: Taking taylor expansion of 0.5 in im 4.177 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 4.177 * [taylor]: Taking taylor expansion of (exp im) in im 4.177 * [taylor]: Taking taylor expansion of im in im 4.177 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 4.177 * [taylor]: Taking taylor expansion of 0.5 in im 4.177 * [taylor]: Taking taylor expansion of (exp im) in im 4.177 * [taylor]: Taking taylor expansion of im in im 4.181 * [taylor]: Taking taylor expansion of 0 in im 4.188 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 4.189 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 4.189 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 4.189 * [taylor]: Taking taylor expansion of 0.25 in im 4.189 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 4.189 * [taylor]: Taking taylor expansion of (exp im) in im 4.189 * [taylor]: Taking taylor expansion of im in im 4.189 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 4.189 * [taylor]: Taking taylor expansion of 0.25 in im 4.189 * [taylor]: Taking taylor expansion of (exp im) in im 4.189 * [taylor]: Taking taylor expansion of im in im 4.196 * [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 4.196 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 4.196 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.196 * [taylor]: Taking taylor expansion of 0.5 in im 4.196 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 4.196 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.196 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.196 * [taylor]: Taking taylor expansion of re in im 4.196 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.196 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.196 * [taylor]: Taking taylor expansion of im in im 4.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.196 * [taylor]: Taking taylor expansion of 0.5 in im 4.196 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.196 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.196 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.196 * [taylor]: Taking taylor expansion of re in im 4.197 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.197 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.197 * [taylor]: Taking taylor expansion of im in im 4.197 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 4.197 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.197 * [taylor]: Taking taylor expansion of 0.5 in re 4.197 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 4.197 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.197 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.197 * [taylor]: Taking taylor expansion of re in re 4.198 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.198 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.198 * [taylor]: Taking taylor expansion of im in re 4.198 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.198 * [taylor]: Taking taylor expansion of 0.5 in re 4.198 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.198 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.198 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.198 * [taylor]: Taking taylor expansion of re in re 4.198 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.198 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.198 * [taylor]: Taking taylor expansion of im in re 4.198 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 4.198 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.198 * [taylor]: Taking taylor expansion of 0.5 in re 4.198 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 4.198 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.198 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.198 * [taylor]: Taking taylor expansion of re in re 4.199 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.199 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.199 * [taylor]: Taking taylor expansion of im in re 4.199 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.199 * [taylor]: Taking taylor expansion of 0.5 in re 4.199 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.199 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.199 * [taylor]: Taking taylor expansion of re in re 4.199 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.199 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.199 * [taylor]: Taking taylor expansion of im in re 4.200 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 4.200 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.200 * [taylor]: Taking taylor expansion of 0.5 in im 4.200 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 4.200 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.200 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.200 * [taylor]: Taking taylor expansion of re in im 4.200 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.200 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.200 * [taylor]: Taking taylor expansion of im in im 4.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.200 * [taylor]: Taking taylor expansion of 0.5 in im 4.200 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.200 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.201 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.201 * [taylor]: Taking taylor expansion of re in im 4.201 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.201 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.201 * [taylor]: Taking taylor expansion of im in im 4.205 * [taylor]: Taking taylor expansion of 0 in im 4.213 * [taylor]: Taking taylor expansion of 0 in im 4.224 * [taylor]: Taking taylor expansion of 0 in im 4.225 * [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 4.225 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 4.225 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 4.225 * [taylor]: Taking taylor expansion of 0.5 in im 4.225 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.225 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.225 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.225 * [taylor]: Taking taylor expansion of -1 in im 4.225 * [taylor]: Taking taylor expansion of re in im 4.225 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.225 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.225 * [taylor]: Taking taylor expansion of -1 in im 4.225 * [taylor]: Taking taylor expansion of im in im 4.226 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 4.226 * [taylor]: Taking taylor expansion of 0.5 in im 4.226 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 4.226 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.226 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.226 * [taylor]: Taking taylor expansion of -1 in im 4.226 * [taylor]: Taking taylor expansion of im in im 4.227 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.227 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.227 * [taylor]: Taking taylor expansion of -1 in im 4.227 * [taylor]: Taking taylor expansion of re in im 4.227 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 4.227 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 4.227 * [taylor]: Taking taylor expansion of 0.5 in re 4.227 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.227 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.227 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.227 * [taylor]: Taking taylor expansion of -1 in re 4.227 * [taylor]: Taking taylor expansion of re in re 4.230 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.231 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.231 * [taylor]: Taking taylor expansion of -1 in re 4.231 * [taylor]: Taking taylor expansion of im in re 4.231 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 4.231 * [taylor]: Taking taylor expansion of 0.5 in re 4.231 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 4.231 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.231 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.231 * [taylor]: Taking taylor expansion of -1 in re 4.231 * [taylor]: Taking taylor expansion of im in re 4.231 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.231 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.231 * [taylor]: Taking taylor expansion of -1 in re 4.231 * [taylor]: Taking taylor expansion of re in re 4.231 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 4.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 4.231 * [taylor]: Taking taylor expansion of 0.5 in re 4.231 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.231 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.231 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.232 * [taylor]: Taking taylor expansion of -1 in re 4.232 * [taylor]: Taking taylor expansion of re in re 4.232 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.232 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.232 * [taylor]: Taking taylor expansion of -1 in re 4.232 * [taylor]: Taking taylor expansion of im in re 4.232 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 4.232 * [taylor]: Taking taylor expansion of 0.5 in re 4.232 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 4.232 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.232 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.232 * [taylor]: Taking taylor expansion of -1 in re 4.232 * [taylor]: Taking taylor expansion of im in re 4.232 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.232 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.232 * [taylor]: Taking taylor expansion of -1 in re 4.232 * [taylor]: Taking taylor expansion of re in re 4.233 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 4.233 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 4.233 * [taylor]: Taking taylor expansion of 0.5 in im 4.233 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.233 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.233 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.233 * [taylor]: Taking taylor expansion of -1 in im 4.233 * [taylor]: Taking taylor expansion of re in im 4.233 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.233 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.233 * [taylor]: Taking taylor expansion of -1 in im 4.233 * [taylor]: Taking taylor expansion of im in im 4.234 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 4.234 * [taylor]: Taking taylor expansion of 0.5 in im 4.234 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 4.234 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.234 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.234 * [taylor]: Taking taylor expansion of -1 in im 4.234 * [taylor]: Taking taylor expansion of im in im 4.235 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.235 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.235 * [taylor]: Taking taylor expansion of -1 in im 4.235 * [taylor]: Taking taylor expansion of re in im 4.238 * [taylor]: Taking taylor expansion of 0 in im 4.246 * [taylor]: Taking taylor expansion of 0 in im 4.258 * [taylor]: Taking taylor expansion of 0 in im 4.258 * * * [progress]: simplifying candidates 4.259 * [simplify]: Simplifying using # : (expm1 (/ (cos re) (exp im))) (log1p (/ (cos re) (exp im))) (- (log (cos re)) im) (log (/ (cos re) (exp im))) (exp (/ (cos re) (exp im))) (/ (* (* (cos re) (cos re)) (cos re)) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (cos re) (exp im))) (cbrt (/ (cos re) (exp im)))) (cbrt (/ (cos re) (exp im))) (* (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (/ (cos re) (exp im))) (sqrt (/ (cos re) (exp im))) (sqrt (/ (cos re) (exp im))) (- (cos re)) (- (exp im)) (/ (* (cbrt (cos re)) (cbrt (cos re))) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt (cos re)) (cbrt (exp im))) (/ (* (cbrt (cos re)) (cbrt (cos re))) (sqrt (exp im))) (/ (cbrt (cos re)) (sqrt (exp im))) (/ (* (cbrt (cos re)) (cbrt (cos re))) 1) (/ (cbrt (cos re)) (exp im)) (/ (sqrt (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (cos re)) (cbrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) 1) (/ (sqrt (cos re)) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 1 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (cos re)) (/ (cos re) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (sqrt (exp im))) (/ (cos re) 1) (/ (exp im) (cbrt (cos re))) (/ (exp im) (sqrt (cos re))) (/ (exp im) (cos re)) (expm1 (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (log1p (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (* (exp (* (/ (cos re) (exp im)) 0.5)) (exp (* (exp im) (* 0.5 (cos re))))) (log (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (exp (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (* (cbrt (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (cbrt (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re)))))) (cbrt (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (* (* (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re)))) (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (sqrt (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (sqrt (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (+ (pow (* (/ (cos re) (exp im)) 0.5) 3) (pow (* (exp im) (* 0.5 (cos re))) 3)) (+ (* (* (/ (cos re) (exp im)) 0.5) (* (/ (cos re) (exp im)) 0.5)) (- (* (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re)))) (* (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re)))))) (- (* (* (/ (cos re) (exp im)) 0.5) (* (/ (cos re) (exp im)) 0.5)) (* (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))))) (- (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re)))) (- 1 (+ (* 1/2 (pow re 2)) im)) (/ (cos re) (exp im)) (/ (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)))) 4.261 * * [simplify]: iteration 0 : 96 enodes (cost 661 ) 4.277 * * [simplify]: iteration 1 : 237 enodes (cost 621 ) 4.333 * * [simplify]: iteration 2 : 727 enodes (cost 546 ) 4.742 * * [simplify]: iteration 3 : 2894 enodes (cost 539 ) 5.557 * * [simplify]: iteration done : 5000 enodes (cost 539 ) 5.557 * [simplify]: Simplified to: (expm1 (/ (cos re) (exp im))) (log1p (/ (cos re) (exp im))) (- (log (cos re)) im) (- (log (cos re)) im) (exp (/ (cos re) (exp im))) (pow (/ (cos re) (exp im)) 3) (* (cbrt (/ (cos re) (exp im))) (cbrt (/ (cos re) (exp im)))) (cbrt (/ (cos re) (exp im))) (pow (/ (cos re) (exp im)) 3) (sqrt (/ (cos re) (exp im))) (sqrt (/ (cos re) (exp im))) (- (cos re)) (- (exp im)) (/ (* (cbrt (cos re)) (cbrt (cos re))) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt (cos re)) (cbrt (exp im))) (/ (* (cbrt (cos re)) (cbrt (cos re))) (sqrt (exp im))) (/ (cbrt (cos re)) (sqrt (exp im))) (* (cbrt (cos re)) (cbrt (cos re))) (/ (cbrt (cos re)) (exp im)) (/ (sqrt (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (cos re)) (cbrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (sqrt (cos re)) (/ (sqrt (cos re)) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 1 (/ (cos re) (exp im)) (exp (- im)) (/ (exp im) (cos re)) (/ (cos re) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (sqrt (exp im))) (cos re) (/ (exp im) (cbrt (cos re))) (/ (exp im) (sqrt (cos re))) (/ (exp im) (cos re)) (expm1 (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) (log1p (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) (exp (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) (log (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) (exp (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) (* (cbrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) (cbrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5))) (cbrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) (pow (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5) 3) (sqrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) (sqrt (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) (+ (pow (* (/ (cos re) (exp im)) 0.5) 3) (pow (* (exp im) (* 0.5 (cos re))) 3)) (fma (* (* 0.5 0.5) (exp (+ im im))) (* (cos re) (cos re)) (* (* 0.5 (/ (cos re) (exp im))) (* 0.5 (- (/ (cos re) (exp im)) (* (exp im) (cos re)))))) (* (* 0.5 (- (/ (cos re) (exp im)) (* (exp im) (cos re)))) (* (fma (exp im) (cos re) (/ (cos re) (exp im))) 0.5)) (* 0.5 (- (/ (cos re) (exp im)) (* (exp im) (cos re)))) (- 1 (fma 1/2 (pow re 2) im)) (/ (cos re) (exp im)) (/ (cos re) (exp im)) (+ 1.0 (* 0.5 (- (pow im 2) (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) 5.557 * * * [progress]: adding candidates to table 5.689 * * [progress]: iteration 3 / 4 5.689 * * * [progress]: picking best candidate 5.692 * * * * [pick]: Picked # 5.692 * * * [progress]: localizing error 5.703 * * * [progress]: generating rewritten candidates 5.703 * * * [progress]: generating series expansions 5.703 * * * [progress]: simplifying candidates 5.704 * [simplify]: Simplifying using # : 5.704 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 5.704 * * [simplify]: iteration done : 0 enodes (cost 0 ) 5.704 * [simplify]: Simplified to: 5.705 * * * [progress]: adding candidates to table 5.705 * [progress]: [Phase 3 of 3] Extracting. 5.705 * * [regime]: Finding splitpoints for: (# # #) 5.705 * * * [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) 5.705 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# # #) 5.726 * * * * [regimes]: Trying to branch on (cos re) from (# # #) 5.744 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# # #) 5.766 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 5.782 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# # #) 5.807 * * * * [regimes]: Trying to branch on im from (# # #) 5.825 * * * * [regimes]: Trying to branch on re from (# # #) 5.841 * * * [regime]: Found split indices: #