16.579 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.106 * * * [progress]: [2/2] Setting up program. 0.110 * [progress]: [Phase 2 of 3] Improving. 0.110 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 0.112 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.114 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.115 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.118 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.121 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.125 * * [simplify]: iteration 5 : 596 enodes (cost 7 ) 0.132 * * [simplify]: iteration 6 : 1198 enodes (cost 7 ) 0.144 * * [simplify]: iteration 7 : 1931 enodes (cost 7 ) 0.170 * * [simplify]: iteration 8 : 5001 enodes (cost 7 ) 0.171 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 0.171 * * [progress]: iteration 1 / 4 0.171 * * * [progress]: picking best candidate 0.174 * * * * [pick]: Picked # 0.174 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.184 * * * * [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 (neg im))) in (im) around 0 0.200 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg 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 (neg im)) in im 0.200 * [taylor]: Taking taylor expansion of (neg im) in im 0.200 * [taylor]: Taking taylor expansion of im in im 0.200 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg 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 (neg im)) in im 0.200 * [taylor]: Taking taylor expansion of (neg im) in im 0.200 * [taylor]: Taking taylor expansion of im in im 0.202 * [approximate]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.202 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.202 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.202 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.202 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.202 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.202 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.203 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.203 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.203 * [taylor]: Taking taylor expansion of -1 in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.203 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.203 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.203 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.203 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.203 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.203 * [taylor]: Taking taylor expansion of -1 in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.203 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.203 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.203 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.203 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in (re im) around 0 0.203 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in im 0.203 * [taylor]: Taking taylor expansion of 0.5 in im 0.203 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (cos re)) in im 0.203 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.203 * [taylor]: Taking taylor expansion of (exp im) in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.203 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.203 * [taylor]: Taking taylor expansion of (neg im) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.204 * [taylor]: Taking taylor expansion of (cos re) in im 0.204 * [taylor]: Taking taylor expansion of re in im 0.204 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in re 0.204 * [taylor]: Taking taylor expansion of 0.5 in re 0.204 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (cos re)) in re 0.204 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.204 * [taylor]: Taking taylor expansion of (exp im) in re 0.204 * [taylor]: Taking taylor expansion of im in re 0.204 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.204 * [taylor]: Taking taylor expansion of (neg im) in re 0.204 * [taylor]: Taking taylor expansion of im in re 0.204 * [taylor]: Taking taylor expansion of (cos re) in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.204 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in re 0.204 * [taylor]: Taking taylor expansion of 0.5 in re 0.204 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (cos re)) in re 0.204 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.204 * [taylor]: Taking taylor expansion of (exp im) in re 0.204 * [taylor]: Taking taylor expansion of im in re 0.204 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.204 * [taylor]: Taking taylor expansion of (neg im) in re 0.204 * [taylor]: Taking taylor expansion of im in re 0.204 * [taylor]: Taking taylor expansion of (cos re) in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.204 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (neg im)))) in im 0.204 * [taylor]: Taking taylor expansion of 0.5 in im 0.204 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.204 * [taylor]: Taking taylor expansion of (exp im) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.204 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.204 * [taylor]: Taking taylor expansion of (neg im) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.205 * [taylor]: Taking taylor expansion of 0 in im 0.206 * [taylor]: Taking taylor expansion of (neg (+ (* 0.25 (exp im)) (* 0.25 (exp (neg im))))) in im 0.206 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (neg im)))) in im 0.206 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.206 * [taylor]: Taking taylor expansion of 0.25 in im 0.206 * [taylor]: Taking taylor expansion of (exp im) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.206 * [taylor]: Taking taylor expansion of (* 0.25 (exp (neg im))) in im 0.206 * [taylor]: Taking taylor expansion of 0.25 in im 0.206 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.206 * [taylor]: Taking taylor expansion of (neg im) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.206 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.206 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.206 * [taylor]: Taking taylor expansion of 0.5 in im 0.206 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.206 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.206 * [taylor]: Taking taylor expansion of re in im 0.207 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.207 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.207 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.207 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.207 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.207 * [taylor]: Taking taylor expansion of 0.5 in re 0.207 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.207 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.207 * [taylor]: Taking taylor expansion of re in re 0.207 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.207 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.207 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.207 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.207 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.207 * [taylor]: Taking taylor expansion of 0.5 in re 0.207 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.207 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.207 * [taylor]: Taking taylor expansion of re in re 0.207 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.207 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.207 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.208 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.208 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.208 * [taylor]: Taking taylor expansion of im in re 0.208 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.208 * [taylor]: Taking taylor expansion of 0.5 in im 0.208 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.208 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.208 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.208 * [taylor]: Taking taylor expansion of re in im 0.208 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.208 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.208 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.208 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.208 * [taylor]: Taking taylor expansion of im in im 0.208 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.208 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.208 * [taylor]: Taking taylor expansion of im in im 0.209 * [taylor]: Taking taylor expansion of 0 in im 0.213 * [taylor]: Taking taylor expansion of 0 in im 0.215 * [taylor]: Taking taylor expansion of 0 in im 0.215 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.215 * [taylor]: Taking taylor expansion of 0.5 in im 0.215 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.215 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.215 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.215 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.215 * [taylor]: Taking taylor expansion of -1 in im 0.215 * [taylor]: Taking taylor expansion of im in im 0.215 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.215 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.215 * [taylor]: Taking taylor expansion of im in im 0.215 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.215 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.215 * [taylor]: Taking taylor expansion of -1 in im 0.215 * [taylor]: Taking taylor expansion of re in im 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.215 * [taylor]: Taking taylor expansion of 0.5 in re 0.215 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.215 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.215 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.215 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.215 * [taylor]: Taking taylor expansion of -1 in re 0.215 * [taylor]: Taking taylor expansion of im in re 0.215 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.215 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.215 * [taylor]: Taking taylor expansion of im in re 0.216 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.216 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.216 * [taylor]: Taking taylor expansion of -1 in re 0.216 * [taylor]: Taking taylor expansion of re in re 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.216 * [taylor]: Taking taylor expansion of 0.5 in re 0.216 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.216 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.216 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.216 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.216 * [taylor]: Taking taylor expansion of -1 in re 0.216 * [taylor]: Taking taylor expansion of im in re 0.216 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.216 * [taylor]: Taking taylor expansion of im in re 0.216 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.216 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.216 * [taylor]: Taking taylor expansion of -1 in re 0.216 * [taylor]: Taking taylor expansion of re in re 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.216 * [taylor]: Taking taylor expansion of 0.5 in im 0.216 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 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 in im 0.216 * [taylor]: Taking taylor expansion of 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 im in im 0.217 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.217 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.217 * [taylor]: Taking taylor expansion of -1 in im 0.217 * [taylor]: Taking taylor expansion of re in im 0.217 * [taylor]: Taking taylor expansion of 0 in im 0.218 * [taylor]: Taking taylor expansion of 0 in im 0.220 * [taylor]: Taking taylor expansion of 0 in im 0.220 * * * [progress]: simplifying candidates 0.221 * [simplify]: Simplifying using # : (* (exp (exp (neg im))) (exp (exp im))) (log (+ (exp (neg im)) (exp im))) (exp (+ (exp (neg im)) (exp im))) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im)))) (cbrt (+ (exp (neg im)) (exp im))) (* (* (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))) (+ (pow (exp (neg im)) 3) (pow (exp im) 3)) (+ (* (exp (neg im)) (exp (neg im))) (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))) (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))) (- (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im)) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (neg im)) (exp im)))) (+ (log (* 0.5 (cos re))) (log (+ (exp (neg im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (* (* 0.5 (cos re)) (exp (neg im))) (* (* 0.5 (cos re)) (exp im)) (* (exp (neg im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (neg im)) (exp im)))) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (neg im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im)))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (neg im))) (+ (exp (* -1 im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.225 * * [simplify]: iteration 0 : 248 enodes (cost 347 ) 0.230 * * [simplify]: iteration 1 : 1228 enodes (cost 286 ) 0.256 * * [simplify]: iteration 2 : 5001 enodes (cost 284 ) 0.258 * [simplify]: Simplified to: (exp (+ (exp (neg im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (neg im)) (exp im))) (* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im)))) (cbrt (+ (exp (neg im)) (exp im))) (pow (+ (exp (* -1 im)) (exp im)) 3) (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))) (+ (pow (exp (neg im)) 3) (pow (exp im) 3)) (+ (+ (pow (exp im) -2) -1) (exp (+ im im))) (+ (neg (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (neg im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) (log (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3) (pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3) (sqrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (neg 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 (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (neg im)) (exp im)))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (cos re) (+ (exp (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (neg im)) 3) (pow (exp im) 3))) (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (neg (exp (+ im im))))) (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 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 (neg im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 0.258 * * * [progress]: adding candidates to table 0.297 * * [progress]: iteration 2 / 4 0.297 * * * [progress]: picking best candidate 0.303 * * * * [pick]: Picked # 0.303 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.319 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.325 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.334 * * * [progress]: generating series expansions 0.334 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.334 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.334 * [taylor]: Taking taylor expansion of 0.5 in im 0.334 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.334 * [taylor]: Taking taylor expansion of (cos re) in im 0.334 * [taylor]: Taking taylor expansion of re in im 0.334 * [taylor]: Taking taylor expansion of (exp im) in im 0.334 * [taylor]: Taking taylor expansion of im in im 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.334 * [taylor]: Taking taylor expansion of 0.5 in re 0.334 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.334 * [taylor]: Taking taylor expansion of (cos re) in re 0.334 * [taylor]: Taking taylor expansion of re in re 0.334 * [taylor]: Taking taylor expansion of (exp im) in re 0.334 * [taylor]: Taking taylor expansion of im in re 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.334 * [taylor]: Taking taylor expansion of 0.5 in re 0.334 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.334 * [taylor]: Taking taylor expansion of (cos re) in re 0.334 * [taylor]: Taking taylor expansion of re in re 0.334 * [taylor]: Taking taylor expansion of (exp im) in re 0.334 * [taylor]: Taking taylor expansion of im in re 0.335 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.335 * [taylor]: Taking taylor expansion of 0.5 in im 0.335 * [taylor]: Taking taylor expansion of (exp im) in im 0.335 * [taylor]: Taking taylor expansion of im in im 0.335 * [taylor]: Taking taylor expansion of 0 in im 0.335 * [taylor]: Taking taylor expansion of (neg (* 0.25 (/ 1 (exp im)))) in im 0.335 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.335 * [taylor]: Taking taylor expansion of 0.25 in im 0.336 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.336 * [taylor]: Taking taylor expansion of (exp im) in im 0.336 * [taylor]: Taking taylor expansion of im in im 0.336 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.336 * [taylor]: Taking taylor expansion of 0.5 in im 0.336 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.336 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.336 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.336 * [taylor]: Taking taylor expansion of re in im 0.336 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.336 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.336 * [taylor]: Taking taylor expansion of im in im 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.336 * [taylor]: Taking taylor expansion of 0.5 in re 0.336 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.336 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.336 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.336 * [taylor]: Taking taylor expansion of re in re 0.336 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.336 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.336 * [taylor]: Taking taylor expansion of im in re 0.337 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.337 * [taylor]: Taking taylor expansion of 0.5 in re 0.337 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.337 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.337 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.337 * [taylor]: Taking taylor expansion of im in re 0.337 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.337 * [taylor]: Taking taylor expansion of 0.5 in im 0.337 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.337 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.337 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.337 * [taylor]: Taking taylor expansion of re in im 0.337 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.337 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.338 * [taylor]: Taking taylor expansion of 0 in im 0.339 * [taylor]: Taking taylor expansion of 0 in im 0.340 * [taylor]: Taking taylor expansion of 0 in im 0.340 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.340 * [taylor]: Taking taylor expansion of 0.5 in im 0.340 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.340 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.340 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.340 * [taylor]: Taking taylor expansion of -1 in im 0.340 * [taylor]: Taking taylor expansion of re in im 0.340 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.340 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.340 * [taylor]: Taking taylor expansion of -1 in im 0.340 * [taylor]: Taking taylor expansion of im in im 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.340 * [taylor]: Taking taylor expansion of 0.5 in re 0.340 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.340 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.340 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.340 * [taylor]: Taking taylor expansion of -1 in re 0.340 * [taylor]: Taking taylor expansion of re in re 0.341 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.341 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.341 * [taylor]: Taking taylor expansion of -1 in re 0.341 * [taylor]: Taking taylor expansion of im in re 0.341 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.341 * [taylor]: Taking taylor expansion of 0.5 in re 0.341 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.341 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.341 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.341 * [taylor]: Taking taylor expansion of -1 in re 0.341 * [taylor]: Taking taylor expansion of re in re 0.341 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.341 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.341 * [taylor]: Taking taylor expansion of -1 in re 0.341 * [taylor]: Taking taylor expansion of im in re 0.341 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.341 * [taylor]: Taking taylor expansion of 0.5 in im 0.341 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.341 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.341 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.341 * [taylor]: Taking taylor expansion of -1 in im 0.341 * [taylor]: Taking taylor expansion of re in im 0.341 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.341 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.341 * [taylor]: Taking taylor expansion of -1 in im 0.341 * [taylor]: Taking taylor expansion of im in im 0.342 * [taylor]: Taking taylor expansion of 0 in im 0.343 * [taylor]: Taking taylor expansion of 0 in im 0.344 * [taylor]: Taking taylor expansion of 0 in im 0.344 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.344 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (re im) around 0 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.344 * [taylor]: Taking taylor expansion of 0.5 in im 0.344 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.344 * [taylor]: Taking taylor expansion of (exp im) in im 0.344 * [taylor]: Taking taylor expansion of im in im 0.344 * [taylor]: Taking taylor expansion of (cos re) in im 0.344 * [taylor]: Taking taylor expansion of re in im 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.344 * [taylor]: Taking taylor expansion of 0.5 in re 0.344 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.344 * [taylor]: Taking taylor expansion of (exp im) in re 0.344 * [taylor]: Taking taylor expansion of im in re 0.345 * [taylor]: Taking taylor expansion of (cos re) in re 0.345 * [taylor]: Taking taylor expansion of re in re 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.345 * [taylor]: Taking taylor expansion of 0.5 in re 0.345 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.345 * [taylor]: Taking taylor expansion of (exp im) in re 0.345 * [taylor]: Taking taylor expansion of im in re 0.345 * [taylor]: Taking taylor expansion of (cos re) in re 0.345 * [taylor]: Taking taylor expansion of re in re 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.345 * [taylor]: Taking taylor expansion of 0.5 in im 0.345 * [taylor]: Taking taylor expansion of (exp im) in im 0.345 * [taylor]: Taking taylor expansion of im in im 0.345 * [taylor]: Taking taylor expansion of 0 in im 0.345 * [taylor]: Taking taylor expansion of (neg (* 0.25 (exp im))) in im 0.345 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.345 * [taylor]: Taking taylor expansion of 0.25 in im 0.345 * [taylor]: Taking taylor expansion of (exp im) in im 0.346 * [taylor]: Taking taylor expansion of im in im 0.346 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.346 * [taylor]: Taking taylor expansion of 0.5 in im 0.346 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.346 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.346 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.346 * [taylor]: Taking taylor expansion of re in im 0.346 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.346 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.346 * [taylor]: Taking taylor expansion of im in im 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.346 * [taylor]: Taking taylor expansion of 0.5 in re 0.346 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.346 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.346 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.346 * [taylor]: Taking taylor expansion of re in re 0.346 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.346 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.346 * [taylor]: Taking taylor expansion of im in re 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.346 * [taylor]: Taking taylor expansion of 0.5 in re 0.346 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.346 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.346 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.346 * [taylor]: Taking taylor expansion of re in re 0.346 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.346 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.346 * [taylor]: Taking taylor expansion of im in re 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.347 * [taylor]: Taking taylor expansion of 0.5 in im 0.347 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.347 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.347 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.347 * [taylor]: Taking taylor expansion of re in im 0.347 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.347 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.347 * [taylor]: Taking taylor expansion of im in im 0.347 * [taylor]: Taking taylor expansion of 0 in im 0.348 * [taylor]: Taking taylor expansion of 0 in im 0.349 * [taylor]: Taking taylor expansion of 0 in im 0.349 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (re im) around 0 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.349 * [taylor]: Taking taylor expansion of 0.5 in im 0.349 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.349 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.349 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.349 * [taylor]: Taking taylor expansion of -1 in im 0.349 * [taylor]: Taking taylor expansion of im in im 0.349 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.349 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.349 * [taylor]: Taking taylor expansion of -1 in im 0.349 * [taylor]: Taking taylor expansion of re in im 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.350 * [taylor]: Taking taylor expansion of 0.5 in re 0.350 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.350 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.350 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.350 * [taylor]: Taking taylor expansion of -1 in re 0.350 * [taylor]: Taking taylor expansion of im in re 0.350 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.350 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.350 * [taylor]: Taking taylor expansion of -1 in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.350 * [taylor]: Taking taylor expansion of 0.5 in re 0.350 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.350 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.350 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.350 * [taylor]: Taking taylor expansion of -1 in re 0.350 * [taylor]: Taking taylor expansion of im in re 0.350 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.350 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.350 * [taylor]: Taking taylor expansion of -1 in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.350 * [taylor]: Taking taylor expansion of 0.5 in im 0.350 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.350 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.350 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.350 * [taylor]: Taking taylor expansion of -1 in im 0.350 * [taylor]: Taking taylor expansion of im in im 0.350 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.350 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.350 * [taylor]: Taking taylor expansion of -1 in im 0.350 * [taylor]: Taking taylor expansion of re in im 0.351 * [taylor]: Taking taylor expansion of 0 in im 0.352 * [taylor]: Taking taylor expansion of 0 in im 0.353 * [taylor]: Taking taylor expansion of 0 in im 0.353 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.353 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 0.353 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.353 * [taylor]: Taking taylor expansion of 0.5 in im 0.353 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.353 * [taylor]: Taking taylor expansion of (exp im) in im 0.353 * [taylor]: Taking taylor expansion of im in im 0.353 * [taylor]: Taking taylor expansion of (cos re) in im 0.353 * [taylor]: Taking taylor expansion of re in im 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.353 * [taylor]: Taking taylor expansion of 0.5 in im 0.353 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.353 * [taylor]: Taking taylor expansion of (cos re) in im 0.353 * [taylor]: Taking taylor expansion of re in im 0.353 * [taylor]: Taking taylor expansion of (exp im) in im 0.353 * [taylor]: Taking taylor expansion of im in im 0.353 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.353 * [taylor]: Taking taylor expansion of 0.5 in re 0.353 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.353 * [taylor]: Taking taylor expansion of (exp im) in re 0.353 * [taylor]: Taking taylor expansion of im in re 0.353 * [taylor]: Taking taylor expansion of (cos re) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.354 * [taylor]: Taking taylor expansion of 0.5 in re 0.354 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.354 * [taylor]: Taking taylor expansion of (cos re) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.354 * [taylor]: Taking taylor expansion of (exp im) in re 0.354 * [taylor]: Taking taylor expansion of im in re 0.354 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.354 * [taylor]: Taking taylor expansion of 0.5 in re 0.354 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.354 * [taylor]: Taking taylor expansion of (exp im) in re 0.354 * [taylor]: Taking taylor expansion of im in re 0.354 * [taylor]: Taking taylor expansion of (cos re) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.354 * [taylor]: Taking taylor expansion of 0.5 in re 0.354 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.354 * [taylor]: Taking taylor expansion of (cos re) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.354 * [taylor]: Taking taylor expansion of (exp im) in re 0.354 * [taylor]: Taking taylor expansion of im in re 0.354 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 0.354 * [taylor]: Taking taylor expansion of 0.5 in im 0.354 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.354 * [taylor]: Taking taylor expansion of (exp im) in im 0.354 * [taylor]: Taking taylor expansion of im in im 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.354 * [taylor]: Taking taylor expansion of 0.5 in im 0.354 * [taylor]: Taking taylor expansion of (exp im) in im 0.354 * [taylor]: Taking taylor expansion of im in im 0.355 * [taylor]: Taking taylor expansion of 0 in im 0.356 * [taylor]: Taking taylor expansion of (neg (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 0.356 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 0.356 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.356 * [taylor]: Taking taylor expansion of 0.25 in im 0.356 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.356 * [taylor]: Taking taylor expansion of (exp im) in im 0.356 * [taylor]: Taking taylor expansion of im in im 0.356 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.356 * [taylor]: Taking taylor expansion of 0.25 in im 0.356 * [taylor]: Taking taylor expansion of (exp im) in im 0.356 * [taylor]: Taking taylor expansion of im in im 0.357 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in (re im) around 0 0.357 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.357 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.357 * [taylor]: Taking taylor expansion of 0.5 in im 0.357 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.357 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.357 * [taylor]: Taking taylor expansion of re in im 0.357 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.357 * [taylor]: Taking taylor expansion of im in im 0.357 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.357 * [taylor]: Taking taylor expansion of 0.5 in im 0.357 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.357 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.357 * [taylor]: Taking taylor expansion of re in im 0.357 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.357 * [taylor]: Taking taylor expansion of im in im 0.358 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.358 * [taylor]: Taking taylor expansion of 0.5 in re 0.358 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.358 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.358 * [taylor]: Taking taylor expansion of re in re 0.358 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.358 * [taylor]: Taking taylor expansion of im in re 0.358 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.358 * [taylor]: Taking taylor expansion of 0.5 in re 0.358 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.358 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.358 * [taylor]: Taking taylor expansion of re in re 0.358 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.358 * [taylor]: Taking taylor expansion of im in re 0.358 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.358 * [taylor]: Taking taylor expansion of 0.5 in re 0.358 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.358 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.358 * [taylor]: Taking taylor expansion of re in re 0.358 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.358 * [taylor]: Taking taylor expansion of im in re 0.358 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.358 * [taylor]: Taking taylor expansion of 0.5 in re 0.358 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.358 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.358 * [taylor]: Taking taylor expansion of re in re 0.359 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.359 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.359 * [taylor]: Taking taylor expansion of im in re 0.359 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.359 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.359 * [taylor]: Taking taylor expansion of 0.5 in im 0.359 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.359 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.359 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.359 * [taylor]: Taking taylor expansion of re in im 0.359 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.359 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.359 * [taylor]: Taking taylor expansion of im in im 0.359 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.359 * [taylor]: Taking taylor expansion of 0.5 in im 0.359 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.359 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.359 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.359 * [taylor]: Taking taylor expansion of re in im 0.359 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.359 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.359 * [taylor]: Taking taylor expansion of im in im 0.361 * [taylor]: Taking taylor expansion of 0 in im 0.362 * [taylor]: Taking taylor expansion of 0 in im 0.364 * [taylor]: Taking taylor expansion of 0 in im 0.365 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in (re im) around 0 0.365 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.365 * [taylor]: Taking taylor expansion of 0.5 in im 0.365 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.365 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.365 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.365 * [taylor]: Taking taylor expansion of -1 in im 0.365 * [taylor]: Taking taylor expansion of re in im 0.365 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.365 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.365 * [taylor]: Taking taylor expansion of -1 in im 0.365 * [taylor]: Taking taylor expansion of im in im 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.365 * [taylor]: Taking taylor expansion of 0.5 in im 0.365 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.365 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.365 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.365 * [taylor]: Taking taylor expansion of -1 in im 0.365 * [taylor]: Taking taylor expansion of im in im 0.365 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.365 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.365 * [taylor]: Taking taylor expansion of -1 in im 0.365 * [taylor]: Taking taylor expansion of re in im 0.365 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.365 * [taylor]: Taking taylor expansion of 0.5 in re 0.365 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.366 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.366 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.366 * [taylor]: Taking taylor expansion of -1 in re 0.366 * [taylor]: Taking taylor expansion of re in re 0.366 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.366 * [taylor]: Taking taylor expansion of -1 in re 0.366 * [taylor]: Taking taylor expansion of im in re 0.366 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.366 * [taylor]: Taking taylor expansion of 0.5 in re 0.366 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.366 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.366 * [taylor]: Taking taylor expansion of -1 in re 0.366 * [taylor]: Taking taylor expansion of im in re 0.366 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.366 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.366 * [taylor]: Taking taylor expansion of -1 in re 0.366 * [taylor]: Taking taylor expansion of re in re 0.366 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.366 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.366 * [taylor]: Taking taylor expansion of 0.5 in re 0.366 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.366 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.366 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.366 * [taylor]: Taking taylor expansion of -1 in re 0.366 * [taylor]: Taking taylor expansion of re in re 0.366 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.366 * [taylor]: Taking taylor expansion of -1 in re 0.366 * [taylor]: Taking taylor expansion of im in re 0.366 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.366 * [taylor]: Taking taylor expansion of 0.5 in re 0.366 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.366 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.366 * [taylor]: Taking taylor expansion of -1 in re 0.366 * [taylor]: Taking taylor expansion of im in re 0.367 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.367 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.367 * [taylor]: Taking taylor expansion of -1 in re 0.367 * [taylor]: Taking taylor expansion of re in re 0.367 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.367 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.367 * [taylor]: Taking taylor expansion of 0.5 in im 0.367 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.367 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.367 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.367 * [taylor]: Taking taylor expansion of -1 in im 0.367 * [taylor]: Taking taylor expansion of re in im 0.367 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.367 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.367 * [taylor]: Taking taylor expansion of -1 in im 0.367 * [taylor]: Taking taylor expansion of im in im 0.367 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.367 * [taylor]: Taking taylor expansion of 0.5 in im 0.367 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.367 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.367 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.368 * [taylor]: Taking taylor expansion of -1 in im 0.368 * [taylor]: Taking taylor expansion of im in im 0.368 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.368 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.368 * [taylor]: Taking taylor expansion of -1 in im 0.368 * [taylor]: Taking taylor expansion of re in im 0.369 * [taylor]: Taking taylor expansion of 0 in im 0.370 * [taylor]: Taking taylor expansion of 0 in im 0.372 * [taylor]: Taking taylor expansion of 0 in im 0.373 * * * [progress]: simplifying candidates 0.373 * [simplify]: Simplifying using # : (- (+ (log 0.5) (log (cos re))) im) (- (log (* 0.5 (cos re))) im) (log (/ (* 0.5 (cos re)) (exp im))) (exp (/ (* 0.5 (cos re)) (exp im))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (neg (* 0.5 (cos re))) (neg (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) 1) (/ (exp im) (cos re)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (+ (+ (log 0.5) (log (cos re))) im) (+ (log (* 0.5 (cos re))) im) (log (* (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (* (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* (* 0.5 (cos re)) 1) (* (cos re) (exp im)) (* (exp (/ (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im)))) (log (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (exp (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (* (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (+ (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (- (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (- (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (- (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ 1 (exp im)) (exp im)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) 0.378 * * [simplify]: iteration 0 : 284 enodes (cost 450 ) 0.384 * * [simplify]: iteration 1 : 1619 enodes (cost 391 ) 0.419 * * [simplify]: iteration 2 : 5002 enodes (cost 384 ) 0.422 * [simplify]: Simplified to: (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (exp (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (neg (* 0.5 (cos re))) (neg (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (/ (exp im) (cos re)) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (exp (* (* 0.5 (cos re)) (exp im))) (pow (* (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3) (* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (exp im))) (pow (* (* 0.5 (cos re)) (exp im)) 3) (sqrt (* (* 0.5 (cos re)) (exp im))) (sqrt (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (* (cos re) (exp im)) (exp (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (log (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (exp (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (pow (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) 3) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (* 0.5 (+ (* (/ (cos re) (exp im)) (* 0.5 (/ (cos re) (exp im)))) (* (* (cos re) (exp im)) (* 0.5 (- (* (cos re) (exp im)) (/ (cos re) (exp im))))))) (* (* 0.5 0.5) (- (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (* (exp (+ im im)) (* (cos re) (cos re))))) (* (cos re) (- (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 1 (exp im)) (exp im)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 im) 0.5) (* 0.25 (pow re 2))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (cos re) (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))) (* (cos re) (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))) 0.422 * * * [progress]: adding candidates to table 0.481 * * [progress]: iteration 3 / 4 0.481 * * * [progress]: picking best candidate 0.484 * * * * [pick]: Picked # 0.484 * * * [progress]: localizing error 0.496 * * * [progress]: generating rewritten candidates 0.496 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.512 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.530 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 0.535 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.545 * * * [progress]: generating series expansions 0.545 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.545 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in (im) around 0 0.545 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg 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 (neg im)) in im 0.545 * [taylor]: Taking taylor expansion of (neg im) in im 0.545 * [taylor]: Taking taylor expansion of im in im 0.545 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg 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 (neg im)) in im 0.545 * [taylor]: Taking taylor expansion of (neg im) in im 0.545 * [taylor]: Taking taylor expansion of im in im 0.547 * [approximate]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.547 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.547 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.547 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.547 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.547 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.547 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.547 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.547 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.547 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.548 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.548 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.548 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.548 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.548 * [taylor]: Taking taylor expansion of -1 in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.548 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.548 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.548 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.548 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.548 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.548 * [taylor]: Taking taylor expansion of -1 in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.548 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.548 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.549 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.549 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in (re im) around 0 0.549 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in im 0.549 * [taylor]: Taking taylor expansion of 0.5 in im 0.549 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (cos re)) in im 0.549 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.549 * [taylor]: Taking taylor expansion of (exp im) in im 0.549 * [taylor]: Taking taylor expansion of im in im 0.549 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.549 * [taylor]: Taking taylor expansion of (neg im) in im 0.549 * [taylor]: Taking taylor expansion of im in im 0.549 * [taylor]: Taking taylor expansion of (cos re) in im 0.549 * [taylor]: Taking taylor expansion of re in im 0.549 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in re 0.549 * [taylor]: Taking taylor expansion of 0.5 in re 0.549 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (cos re)) in re 0.549 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.549 * [taylor]: Taking taylor expansion of (exp im) in re 0.549 * [taylor]: Taking taylor expansion of im in re 0.549 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.549 * [taylor]: Taking taylor expansion of (neg im) in re 0.549 * [taylor]: Taking taylor expansion of im in re 0.549 * [taylor]: Taking taylor expansion of (cos re) in re 0.549 * [taylor]: Taking taylor expansion of re in re 0.549 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp im) (exp (neg im))) (cos re))) in re 0.549 * [taylor]: Taking taylor expansion of 0.5 in re 0.549 * [taylor]: Taking taylor expansion of (* (+ (exp im) (exp (neg im))) (cos re)) in re 0.549 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in re 0.549 * [taylor]: Taking taylor expansion of (exp im) in re 0.549 * [taylor]: Taking taylor expansion of im in re 0.550 * [taylor]: Taking taylor expansion of (exp (neg im)) in re 0.550 * [taylor]: Taking taylor expansion of (neg im) in re 0.550 * [taylor]: Taking taylor expansion of im in re 0.550 * [taylor]: Taking taylor expansion of (cos re) in re 0.550 * [taylor]: Taking taylor expansion of re in re 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (neg im)))) in im 0.550 * [taylor]: Taking taylor expansion of 0.5 in im 0.550 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.550 * [taylor]: Taking taylor expansion of (exp im) in im 0.550 * [taylor]: Taking taylor expansion of im in im 0.550 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.550 * [taylor]: Taking taylor expansion of (neg im) in im 0.550 * [taylor]: Taking taylor expansion of im in im 0.550 * [taylor]: Taking taylor expansion of 0 in im 0.551 * [taylor]: Taking taylor expansion of (neg (+ (* 0.25 (exp im)) (* 0.25 (exp (neg im))))) in im 0.551 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (neg im)))) in im 0.551 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.551 * [taylor]: Taking taylor expansion of 0.25 in im 0.551 * [taylor]: Taking taylor expansion of (exp im) in im 0.551 * [taylor]: Taking taylor expansion of im in im 0.551 * [taylor]: Taking taylor expansion of (* 0.25 (exp (neg im))) in im 0.551 * [taylor]: Taking taylor expansion of 0.25 in im 0.551 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.551 * [taylor]: Taking taylor expansion of (neg im) in im 0.551 * [taylor]: Taking taylor expansion of im in im 0.552 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.552 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.552 * [taylor]: Taking taylor expansion of 0.5 in im 0.552 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.552 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.552 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.552 * [taylor]: Taking taylor expansion of re in im 0.552 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.552 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.552 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.552 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.552 * [taylor]: Taking taylor expansion of im in im 0.552 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.552 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.552 * [taylor]: Taking taylor expansion of im in im 0.552 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.552 * [taylor]: Taking taylor expansion of 0.5 in re 0.552 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.552 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.552 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.552 * [taylor]: Taking taylor expansion of re in re 0.552 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.552 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.552 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.553 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.553 * [taylor]: Taking taylor expansion of im in re 0.553 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.553 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.553 * [taylor]: Taking taylor expansion of im in re 0.553 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in re 0.553 * [taylor]: Taking taylor expansion of 0.5 in re 0.553 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in re 0.553 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.553 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.553 * [taylor]: Taking taylor expansion of re in re 0.553 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in re 0.553 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in re 0.553 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in re 0.553 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.553 * [taylor]: Taking taylor expansion of im in re 0.553 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.553 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.553 * [taylor]: Taking taylor expansion of im in re 0.553 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im))))) in im 0.553 * [taylor]: Taking taylor expansion of 0.5 in im 0.553 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (neg (/ 1 im))) (exp (/ 1 im)))) in im 0.553 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.553 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.553 * [taylor]: Taking taylor expansion of re in im 0.554 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.554 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.554 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.554 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.554 * [taylor]: Taking taylor expansion of im in im 0.554 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.554 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.554 * [taylor]: Taking taylor expansion of im in im 0.555 * [taylor]: Taking taylor expansion of 0 in im 0.556 * [taylor]: Taking taylor expansion of 0 in im 0.557 * [taylor]: Taking taylor expansion of 0 in im 0.557 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.558 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.558 * [taylor]: Taking taylor expansion of 0.5 in im 0.558 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.558 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.558 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.558 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.558 * [taylor]: Taking taylor expansion of -1 in im 0.558 * [taylor]: Taking taylor expansion of im in im 0.558 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.558 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.558 * [taylor]: Taking taylor expansion of im in im 0.558 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.558 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.558 * [taylor]: Taking taylor expansion of -1 in im 0.558 * [taylor]: Taking taylor expansion of re in im 0.558 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.558 * [taylor]: Taking taylor expansion of 0.5 in re 0.558 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.558 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.558 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.558 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.558 * [taylor]: Taking taylor expansion of -1 in re 0.558 * [taylor]: Taking taylor expansion of im in re 0.558 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.558 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.558 * [taylor]: Taking taylor expansion of im in re 0.558 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.558 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.558 * [taylor]: Taking taylor expansion of -1 in re 0.558 * [taylor]: Taking taylor expansion of re in re 0.558 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.558 * [taylor]: Taking taylor expansion of 0.5 in re 0.558 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.558 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.558 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.558 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.558 * [taylor]: Taking taylor expansion of -1 in re 0.558 * [taylor]: Taking taylor expansion of im in re 0.558 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.559 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.559 * [taylor]: Taking taylor expansion of im in re 0.559 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.559 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.559 * [taylor]: Taking taylor expansion of -1 in re 0.559 * [taylor]: Taking taylor expansion of re in re 0.559 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.559 * [taylor]: Taking taylor expansion of 0.5 in im 0.559 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.559 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.559 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.559 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.559 * [taylor]: Taking taylor expansion of -1 in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.559 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.559 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.559 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.559 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.559 * [taylor]: Taking taylor expansion of -1 in im 0.559 * [taylor]: Taking taylor expansion of re in im 0.560 * [taylor]: Taking taylor expansion of 0 in im 0.561 * [taylor]: Taking taylor expansion of 0 in im 0.562 * [taylor]: Taking taylor expansion of 0 in im 0.563 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 0.563 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in (im) around 0 0.563 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.563 * [taylor]: Taking taylor expansion of (exp im) in im 0.563 * [taylor]: Taking taylor expansion of im in im 0.563 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.563 * [taylor]: Taking taylor expansion of (neg im) in im 0.563 * [taylor]: Taking taylor expansion of im in im 0.563 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.563 * [taylor]: Taking taylor expansion of (exp im) in im 0.563 * [taylor]: Taking taylor expansion of im in im 0.563 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.563 * [taylor]: Taking taylor expansion of (neg im) in im 0.563 * [taylor]: Taking taylor expansion of im in im 0.565 * [approximate]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.565 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.565 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.565 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.565 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.565 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.565 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.565 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.565 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.565 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.565 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.565 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.565 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.565 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 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 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 0.566 * [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 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 0.566 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.566 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in (im) around 0 0.566 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.566 * [taylor]: Taking taylor expansion of (exp im) in im 0.566 * [taylor]: Taking taylor expansion of im in im 0.566 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.566 * [taylor]: Taking taylor expansion of (neg im) in im 0.566 * [taylor]: Taking taylor expansion of im in im 0.566 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (neg im))) in im 0.566 * [taylor]: Taking taylor expansion of (exp im) in im 0.566 * [taylor]: Taking taylor expansion of im in im 0.566 * [taylor]: Taking taylor expansion of (exp (neg im)) in im 0.567 * [taylor]: Taking taylor expansion of (neg im) in im 0.567 * [taylor]: Taking taylor expansion of im in im 0.568 * [approximate]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.568 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.568 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.568 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.568 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.568 * [taylor]: Taking taylor expansion of im in im 0.568 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.568 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.568 * [taylor]: Taking taylor expansion of im in im 0.568 * [taylor]: Taking taylor expansion of (+ (exp (neg (/ 1 im))) (exp (/ 1 im))) in im 0.568 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 im))) in im 0.569 * [taylor]: Taking taylor expansion of (neg (/ 1 im)) in im 0.569 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.569 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.569 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.569 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.569 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.569 * [taylor]: Taking taylor expansion of -1 in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.569 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.569 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.569 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.569 * [taylor]: Taking taylor expansion of -1 in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.569 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.570 * * * [progress]: simplifying candidates 0.571 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im))) (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im)))) (* (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im))) (+ 1 1) (+ (log (sqrt (+ (exp (neg im)) (exp im)))) (log (sqrt (+ (exp (neg im)) (exp im))))) (log (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))))) (exp (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))))) (* (* (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im)))) (sqrt (+ (exp (neg im)) (exp im)))) (* (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im)))) (sqrt (+ (exp (neg im)) (exp im))))) (* (cbrt (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))))) (cbrt (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im)))))) (cbrt (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))))) (* (* (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im)))) (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))))) (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))))) (* (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im))) (sqrt (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))))) (sqrt (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))))) (* (sqrt (+ (pow (exp (neg im)) 3) (pow (exp im) 3))) (sqrt (+ (pow (exp (neg im)) 3) (pow (exp im) 3)))) (* (sqrt (+ (* (exp (neg im)) (exp (neg im))) (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im))))) (sqrt (+ (* (exp (neg im)) (exp (neg im))) (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))))) (* (sqrt (+ (pow (exp (neg im)) 3) (pow (exp im) 3))) (sqrt (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im))))) (* (sqrt (+ (* (exp (neg im)) (exp (neg im))) (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im))))) (sqrt (- (exp (neg im)) (exp im)))) (* (sqrt (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im)))) (sqrt (+ (pow (exp (neg im)) 3) (pow (exp im) 3)))) (* (sqrt (- (exp (neg im)) (exp im))) (sqrt (+ (* (exp (neg im)) (exp (neg im))) (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))))) (* (sqrt (- (* (exp (neg im)) (exp (neg im))) (* (exp im) (exp im)))) (sqrt (- (* 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im))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im)))) (* (sqrt (sqrt (+ (exp (neg im)) (exp im)))) (sqrt (sqrt (+ (exp (neg im)) (exp im))))) (* (sqrt (sqrt (+ (exp (neg im)) (exp im)))) (sqrt (sqrt (+ (exp (neg im)) (exp im))))) (* (sqrt (sqrt (+ (exp (neg im)) (exp im)))) (sqrt (sqrt (+ (exp (neg im)) (exp im))))) (* (sqrt (sqrt (+ (exp (neg im)) (exp im)))) (sqrt (sqrt (+ (exp (neg im)) (exp im))))) (* 1 1) (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im)))) (* (sqrt (sqrt (+ (exp (neg im)) (exp im)))) (sqrt (sqrt (+ (exp (neg im)) (exp im))))) (* (sqrt (sqrt (+ (exp (neg im)) (exp im)))) (sqrt (sqrt (+ (exp (neg im)) (exp 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2)) 1.0) (* 0.5 (pow re 2))) (* (+ (exp (neg im)) (exp im)) (* 0.5 (cos re))) (* (+ (exp (neg im)) (exp im)) (* 0.5 (cos re))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (neg im)) (exp im)) (+ (exp (neg im)) (exp im)) 0.628 * * * [progress]: adding candidates to table 0.775 * [progress]: [Phase 3 of 3] Extracting. 0.775 * * [regime]: Finding splitpoints for: (# # #) 0.775 * * * [regime-changes]: Trying 6 branch expressions: ((+ (exp (neg im)) (exp im)) (cos re) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) im re) 0.775 * * * * [regimes]: Trying to branch on (+ (exp (neg im)) (exp im)) from (# # #) 0.811 * * * * [regimes]: Trying to branch on (cos re) from (# # #) 0.849 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# # #) 0.889 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) from (# # #) 0.939 * * * * [regimes]: Trying to branch on im from (# # #) 0.976 * * * * [regimes]: Trying to branch on re from (# # #) 1.028 * * * [regime]: Found split indices: #