21.107 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.083 * * * [progress]: [2/2] Setting up program. 0.085 * [progress]: [Phase 2 of 3] Improving. 0.086 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.088 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.089 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.091 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.093 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.096 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.100 * * [simplify]: iteration 5 : 629 enodes (cost 7 ) 0.107 * * [simplify]: iteration 6 : 1415 enodes (cost 7 ) 0.118 * * [simplify]: iteration 7 : 2148 enodes (cost 7 ) 0.156 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.157 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.157 * * [progress]: iteration 1 / 4 0.157 * * * [progress]: picking best candidate 0.159 * * * * [pick]: Picked # 0.160 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.170 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.183 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.189 * * * [progress]: generating series expansions 0.189 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.189 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.189 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.189 * [taylor]: Taking taylor expansion of 0.5 in im 0.189 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.189 * [taylor]: Taking taylor expansion of (cos re) in im 0.189 * [taylor]: Taking taylor expansion of re in im 0.189 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.189 * [taylor]: Taking taylor expansion of (exp im) in im 0.189 * [taylor]: Taking taylor expansion of im in im 0.189 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.190 * [taylor]: Taking taylor expansion of (- im) in im 0.190 * [taylor]: Taking taylor expansion of im in im 0.190 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.190 * [taylor]: Taking taylor expansion of 0.5 in re 0.190 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.190 * [taylor]: Taking taylor expansion of (cos re) in re 0.190 * [taylor]: Taking taylor expansion of re in re 0.190 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.190 * [taylor]: Taking taylor expansion of (exp im) in re 0.190 * [taylor]: Taking taylor expansion of im in re 0.190 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.190 * [taylor]: Taking taylor expansion of (- im) in re 0.190 * [taylor]: Taking taylor expansion of im in re 0.191 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.191 * [taylor]: Taking taylor expansion of 0.5 in re 0.191 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.191 * [taylor]: Taking taylor expansion of (cos re) in re 0.191 * [taylor]: Taking taylor expansion of re in re 0.191 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.191 * [taylor]: Taking taylor expansion of (exp im) in re 0.191 * [taylor]: Taking taylor expansion of im in re 0.191 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.191 * [taylor]: Taking taylor expansion of (- im) in re 0.191 * [taylor]: Taking taylor expansion of im in re 0.191 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.191 * [taylor]: Taking taylor expansion of 0.5 in im 0.191 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.191 * [taylor]: Taking taylor expansion of (exp im) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.191 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.191 * [taylor]: Taking taylor expansion of (- im) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.194 * [taylor]: Taking taylor expansion of 0 in im 0.201 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.201 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.201 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.201 * [taylor]: Taking taylor expansion of 0.25 in im 0.201 * [taylor]: Taking taylor expansion of (exp im) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.201 * [taylor]: Taking taylor expansion of 0.25 in im 0.201 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.201 * [taylor]: Taking taylor expansion of (- im) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.207 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.207 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.207 * [taylor]: Taking taylor expansion of 0.5 in im 0.207 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.207 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.207 * [taylor]: Taking taylor expansion of re in im 0.207 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 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 (/ 1 im) in im 0.207 * [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 0.208 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.208 * [taylor]: Taking taylor expansion of 0.5 in re 0.208 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.208 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.208 * [taylor]: Taking taylor expansion of re in re 0.209 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.209 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.209 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.209 * [taylor]: Taking taylor expansion of im in re 0.209 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.209 * [taylor]: Taking taylor expansion of im in re 0.209 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.209 * [taylor]: Taking taylor expansion of 0.5 in re 0.209 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.209 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.209 * [taylor]: Taking taylor expansion of re in re 0.209 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.209 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.209 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.210 * [taylor]: Taking taylor expansion of im in re 0.210 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.210 * [taylor]: Taking taylor expansion of im in re 0.210 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.210 * [taylor]: Taking taylor expansion of 0.5 in im 0.210 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.210 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.210 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.210 * [taylor]: Taking taylor expansion of re in im 0.210 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.210 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.210 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.210 * [taylor]: Taking taylor expansion of im in im 0.211 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.211 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.211 * [taylor]: Taking taylor expansion of im in im 0.214 * [taylor]: Taking taylor expansion of 0 in im 0.220 * [taylor]: Taking taylor expansion of 0 in im 0.229 * [taylor]: Taking taylor expansion of 0 in im 0.229 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.229 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.229 * [taylor]: Taking taylor expansion of 0.5 in im 0.229 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.229 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.230 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.230 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.230 * [taylor]: Taking taylor expansion of -1 in im 0.230 * [taylor]: Taking taylor expansion of im in im 0.230 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.230 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.230 * [taylor]: Taking taylor expansion of im in im 0.230 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.230 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.230 * [taylor]: Taking taylor expansion of -1 in im 0.230 * [taylor]: Taking taylor expansion of re in im 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.230 * [taylor]: Taking taylor expansion of 0.5 in re 0.230 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.230 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.230 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.230 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.230 * [taylor]: Taking taylor expansion of -1 in re 0.231 * [taylor]: Taking taylor expansion of im in re 0.231 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.231 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.231 * [taylor]: Taking taylor expansion of im in re 0.231 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.231 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.231 * [taylor]: Taking taylor expansion of -1 in re 0.231 * [taylor]: Taking taylor expansion of re in re 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.231 * [taylor]: Taking taylor expansion of 0.5 in re 0.231 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.231 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.231 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.231 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.231 * [taylor]: Taking taylor expansion of -1 in re 0.231 * [taylor]: Taking taylor expansion of im in re 0.231 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.231 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.231 * [taylor]: Taking taylor expansion of im in re 0.231 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.231 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.231 * [taylor]: Taking taylor expansion of -1 in re 0.231 * [taylor]: Taking taylor expansion of re in re 0.232 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.232 * [taylor]: Taking taylor expansion of 0.5 in im 0.232 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.232 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.232 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.232 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.232 * [taylor]: Taking taylor expansion of -1 in im 0.232 * [taylor]: Taking taylor expansion of im in im 0.232 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.233 * [taylor]: Taking taylor expansion of im in im 0.233 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.233 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.233 * [taylor]: Taking taylor expansion of -1 in im 0.233 * [taylor]: Taking taylor expansion of re in im 0.236 * [taylor]: Taking taylor expansion of 0 in im 0.241 * [taylor]: Taking taylor expansion of 0 in im 0.248 * [taylor]: Taking taylor expansion of 0 in im 0.248 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.249 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.249 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.249 * [taylor]: Taking taylor expansion of (exp im) in im 0.249 * [taylor]: Taking taylor expansion of im in im 0.249 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.249 * [taylor]: Taking taylor expansion of (- im) in im 0.249 * [taylor]: Taking taylor expansion of im in im 0.249 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.249 * [taylor]: Taking taylor expansion of (exp im) in im 0.249 * [taylor]: Taking taylor expansion of im in im 0.249 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.249 * [taylor]: Taking taylor expansion of (- im) in im 0.249 * [taylor]: Taking taylor expansion of im in im 0.264 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.264 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.264 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.264 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.264 * [taylor]: Taking taylor expansion of im in im 0.265 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.265 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.265 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.265 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.265 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.265 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.271 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.273 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.273 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.273 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.273 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.273 * [taylor]: Taking taylor expansion of -1 in im 0.273 * [taylor]: Taking taylor expansion of im in im 0.273 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.273 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.273 * [taylor]: Taking taylor expansion of im in im 0.274 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.274 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.274 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.274 * [taylor]: Taking taylor expansion of -1 in im 0.274 * [taylor]: Taking taylor expansion of im in im 0.274 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.274 * [taylor]: Taking taylor expansion of im in im 0.276 * * * [progress]: simplifying candidates 0.277 * [simplify]: Simplifying using # : (* (* 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)))) (* (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)) 0.281 * * [simplify]: iteration 0 : 249 enodes (cost 347 ) 0.286 * * [simplify]: iteration 1 : 1229 enodes (cost 286 ) 0.312 * * [simplify]: iteration 2 : 5001 enodes (cost 284 ) 0.314 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (cos re) (+ (exp im) (exp (- im)))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (exp (+ (exp (- im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (pow (+ (exp (* -1 im)) (exp im)) 3) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)) (+ (- (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (- im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 0.314 * * * [progress]: adding candidates to table 0.397 * * [progress]: iteration 2 / 4 0.397 * * * [progress]: picking best candidate 0.406 * * * * [pick]: Picked # 0.406 * * * [progress]: localizing error 0.418 * * * [progress]: generating rewritten candidates 0.418 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.423 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.435 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.444 * * * [progress]: generating series expansions 0.444 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.445 * [approximate]: Taking taylor expansion of (* 1/12 (pow im 4)) in (im) around 0 0.445 * [taylor]: Taking taylor expansion of (* 1/12 (pow im 4)) in im 0.445 * [taylor]: Taking taylor expansion of 1/12 in im 0.445 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.445 * [taylor]: Taking taylor expansion of (* 1/12 (pow im 4)) in im 0.445 * [taylor]: Taking taylor expansion of 1/12 in im 0.445 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.460 * [approximate]: Taking taylor expansion of (/ 1/12 (pow im 4)) in (im) around 0 0.460 * [taylor]: Taking taylor expansion of (/ 1/12 (pow im 4)) in im 0.460 * [taylor]: Taking taylor expansion of 1/12 in im 0.460 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.460 * [taylor]: Taking taylor expansion of im in im 0.461 * [taylor]: Taking taylor expansion of (/ 1/12 (pow im 4)) in im 0.461 * [taylor]: Taking taylor expansion of 1/12 in im 0.461 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.461 * [taylor]: Taking taylor expansion of im in im 0.472 * [approximate]: Taking taylor expansion of (/ 1/12 (pow im 4)) in (im) around 0 0.472 * [taylor]: Taking taylor expansion of (/ 1/12 (pow im 4)) in im 0.472 * [taylor]: Taking taylor expansion of 1/12 in im 0.472 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.472 * [taylor]: Taking taylor expansion of im in im 0.473 * [taylor]: Taking taylor expansion of (/ 1/12 (pow im 4)) in im 0.473 * [taylor]: Taking taylor expansion of 1/12 in im 0.473 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.473 * [taylor]: Taking taylor expansion of im in im 0.485 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.485 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (cos re))) in (re im) around 0 0.485 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (cos re))) in im 0.485 * [taylor]: Taking taylor expansion of 0.5 in im 0.485 * [taylor]: Taking taylor expansion of (* (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (cos re)) in im 0.485 * [taylor]: Taking taylor expansion of (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) in im 0.485 * [taylor]: Taking taylor expansion of (* 1/12 (pow im 4)) in im 0.485 * [taylor]: Taking taylor expansion of 1/12 in im 0.485 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.485 * [taylor]: Taking taylor expansion of im in im 0.485 * [taylor]: Taking taylor expansion of (+ (pow im 2) 2) in im 0.485 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.485 * [taylor]: Taking taylor expansion of im in im 0.485 * [taylor]: Taking taylor expansion of 2 in im 0.485 * [taylor]: Taking taylor expansion of (cos re) in im 0.485 * [taylor]: Taking taylor expansion of re in im 0.485 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (cos re))) in re 0.485 * [taylor]: Taking taylor expansion of 0.5 in re 0.485 * [taylor]: Taking taylor expansion of (* (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (cos re)) in re 0.485 * [taylor]: Taking taylor expansion of (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) in re 0.485 * [taylor]: Taking taylor expansion of (* 1/12 (pow im 4)) in re 0.485 * [taylor]: Taking taylor expansion of 1/12 in re 0.485 * [taylor]: Taking taylor expansion of (pow im 4) in re 0.485 * [taylor]: Taking taylor expansion of im in re 0.485 * [taylor]: Taking taylor expansion of (+ (pow im 2) 2) in re 0.485 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.486 * [taylor]: Taking taylor expansion of im in re 0.486 * [taylor]: Taking taylor expansion of 2 in re 0.486 * [taylor]: Taking taylor expansion of (cos re) in re 0.486 * [taylor]: Taking taylor expansion of re in re 0.486 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (cos re))) in re 0.486 * [taylor]: Taking taylor expansion of 0.5 in re 0.486 * [taylor]: Taking taylor expansion of (* (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (cos re)) in re 0.486 * [taylor]: Taking taylor expansion of (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) in re 0.486 * [taylor]: Taking taylor expansion of (* 1/12 (pow im 4)) in re 0.486 * [taylor]: Taking taylor expansion of 1/12 in re 0.486 * [taylor]: Taking taylor expansion of (pow im 4) in re 0.486 * [taylor]: Taking taylor expansion of im in re 0.486 * [taylor]: Taking taylor expansion of (+ (pow im 2) 2) in re 0.486 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.486 * [taylor]: Taking taylor expansion of im in re 0.486 * [taylor]: Taking taylor expansion of 2 in re 0.486 * [taylor]: Taking taylor expansion of (cos re) in re 0.486 * [taylor]: Taking taylor expansion of re in re 0.487 * [taylor]: Taking taylor expansion of (* 0.5 (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) in im 0.487 * [taylor]: Taking taylor expansion of 0.5 in im 0.487 * [taylor]: Taking taylor expansion of (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) in im 0.487 * [taylor]: Taking taylor expansion of (* 1/12 (pow im 4)) in im 0.487 * [taylor]: Taking taylor expansion of 1/12 in im 0.487 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.487 * [taylor]: Taking taylor expansion of im in im 0.487 * [taylor]: Taking taylor expansion of (+ (pow im 2) 2) in im 0.487 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.487 * [taylor]: Taking taylor expansion of im in im 0.487 * [taylor]: Taking taylor expansion of 2 in im 0.490 * [taylor]: Taking taylor expansion of 0 in im 0.494 * [taylor]: Taking taylor expansion of (- (+ (* 0.020833333333333332 (pow im 4)) (+ (* 0.25 (pow im 2)) 0.5))) in im 0.494 * [taylor]: Taking taylor expansion of (+ (* 0.020833333333333332 (pow im 4)) (+ (* 0.25 (pow im 2)) 0.5)) in im 0.495 * [taylor]: Taking taylor expansion of (* 0.020833333333333332 (pow im 4)) in im 0.495 * [taylor]: Taking taylor expansion of 0.020833333333333332 in im 0.495 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.495 * [taylor]: Taking taylor expansion of im in im 0.495 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow im 2)) 0.5) in im 0.495 * [taylor]: Taking taylor expansion of (* 0.25 (pow im 2)) in im 0.495 * [taylor]: Taking taylor expansion of 0.25 in im 0.495 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.495 * [taylor]: Taking taylor expansion of im in im 0.495 * [taylor]: Taking taylor expansion of 0.5 in im 0.499 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)))) in (re im) around 0 0.499 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)))) in im 0.499 * [taylor]: Taking taylor expansion of 0.5 in im 0.499 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2))) in im 0.499 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.499 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.499 * [taylor]: Taking taylor expansion of re in im 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.499 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.499 * [taylor]: Taking taylor expansion of im in im 0.500 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 0.500 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 0.500 * [taylor]: Taking taylor expansion of 1/12 in im 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.500 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.500 * [taylor]: Taking taylor expansion of im in im 0.500 * [taylor]: Taking taylor expansion of 2 in im 0.500 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)))) in re 0.500 * [taylor]: Taking taylor expansion of 0.5 in re 0.500 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2))) in re 0.500 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.500 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.500 * [taylor]: Taking taylor expansion of re in re 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in re 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.501 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.501 * [taylor]: Taking taylor expansion of im in re 0.501 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in re 0.501 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in re 0.501 * [taylor]: Taking taylor expansion of 1/12 in re 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in re 0.501 * [taylor]: Taking taylor expansion of (pow im 4) in re 0.501 * [taylor]: Taking taylor expansion of im in re 0.501 * [taylor]: Taking taylor expansion of 2 in re 0.501 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)))) in re 0.501 * [taylor]: Taking taylor expansion of 0.5 in re 0.501 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2))) in re 0.501 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.501 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.501 * [taylor]: Taking taylor expansion of re in re 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in re 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.502 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.502 * [taylor]: Taking taylor expansion of im in re 0.502 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in re 0.502 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in re 0.502 * [taylor]: Taking taylor expansion of 1/12 in re 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in re 0.502 * [taylor]: Taking taylor expansion of (pow im 4) in re 0.502 * [taylor]: Taking taylor expansion of im in re 0.502 * [taylor]: Taking taylor expansion of 2 in re 0.503 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)))) in im 0.503 * [taylor]: Taking taylor expansion of 0.5 in im 0.503 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2))) in im 0.503 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.503 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.503 * [taylor]: Taking taylor expansion of re in im 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.503 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.503 * [taylor]: Taking taylor expansion of im in im 0.504 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 0.504 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 0.504 * [taylor]: Taking taylor expansion of 1/12 in im 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.504 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.504 * [taylor]: Taking taylor expansion of im in im 0.504 * [taylor]: Taking taylor expansion of 2 in im 0.508 * [taylor]: Taking taylor expansion of 0 in im 0.516 * [taylor]: Taking taylor expansion of 0 in im 0.527 * [taylor]: Taking taylor expansion of 0 in im 0.546 * [taylor]: Taking taylor expansion of 0 in im 0.556 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) (cos (/ -1 re)))) in (re im) around 0 0.556 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) (cos (/ -1 re)))) in im 0.556 * [taylor]: Taking taylor expansion of 0.5 in im 0.556 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) (cos (/ -1 re))) in im 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.556 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.556 * [taylor]: Taking taylor expansion of im in im 0.557 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 0.557 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 0.557 * [taylor]: Taking taylor expansion of 1/12 in im 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.557 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.557 * [taylor]: Taking taylor expansion of im in im 0.557 * [taylor]: Taking taylor expansion of 2 in im 0.557 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.557 * [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 (* (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) (cos (/ -1 re)))) in re 0.558 * [taylor]: Taking taylor expansion of 0.5 in re 0.558 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) (cos (/ -1 re))) in re 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in re 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.558 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.558 * [taylor]: Taking taylor expansion of im in re 0.558 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in re 0.558 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in re 0.558 * [taylor]: Taking taylor expansion of 1/12 in re 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in re 0.558 * [taylor]: Taking taylor expansion of (pow im 4) in re 0.558 * [taylor]: Taking taylor expansion of im in re 0.558 * [taylor]: Taking taylor expansion of 2 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 0.559 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) (cos (/ -1 re)))) in re 0.559 * [taylor]: Taking taylor expansion of 0.5 in re 0.559 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) (cos (/ -1 re))) in re 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in re 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.559 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.559 * [taylor]: Taking taylor expansion of im in re 0.559 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in re 0.559 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in re 0.559 * [taylor]: Taking taylor expansion of 1/12 in re 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in re 0.559 * [taylor]: Taking taylor expansion of (pow im 4) in re 0.559 * [taylor]: Taking taylor expansion of im in re 0.559 * [taylor]: Taking taylor expansion of 2 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 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) (cos (/ -1 re)))) in im 0.560 * [taylor]: Taking taylor expansion of 0.5 in im 0.560 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) (cos (/ -1 re))) in im 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.560 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.560 * [taylor]: Taking taylor expansion of im in im 0.561 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 0.561 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 0.561 * [taylor]: Taking taylor expansion of 1/12 in im 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.561 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.561 * [taylor]: Taking taylor expansion of im in im 0.562 * [taylor]: Taking taylor expansion of 2 in im 0.562 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.562 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.562 * [taylor]: Taking taylor expansion of -1 in im 0.562 * [taylor]: Taking taylor expansion of re in im 0.565 * [taylor]: Taking taylor expansion of 0 in im 0.573 * [taylor]: Taking taylor expansion of 0 in im 0.584 * [taylor]: Taking taylor expansion of 0 in im 0.599 * [taylor]: Taking taylor expansion of 0 in im 0.609 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.609 * [approximate]: Taking taylor expansion of (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) in (im) around 0 0.609 * [taylor]: Taking taylor expansion of (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) in im 0.609 * [taylor]: Taking taylor expansion of (* 1/12 (pow im 4)) in im 0.609 * [taylor]: Taking taylor expansion of 1/12 in im 0.609 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.609 * [taylor]: Taking taylor expansion of im in im 0.609 * [taylor]: Taking taylor expansion of (+ (pow im 2) 2) in im 0.609 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.609 * [taylor]: Taking taylor expansion of im in im 0.609 * [taylor]: Taking taylor expansion of 2 in im 0.609 * [taylor]: Taking taylor expansion of (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) in im 0.609 * [taylor]: Taking taylor expansion of (* 1/12 (pow im 4)) in im 0.609 * [taylor]: Taking taylor expansion of 1/12 in im 0.609 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.610 * [taylor]: Taking taylor expansion of im in im 0.610 * [taylor]: Taking taylor expansion of (+ (pow im 2) 2) in im 0.610 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.610 * [taylor]: Taking taylor expansion of im in im 0.610 * [taylor]: Taking taylor expansion of 2 in im 0.614 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in (im) around 0 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.614 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.614 * [taylor]: Taking taylor expansion of im in im 0.615 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 0.615 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 0.615 * [taylor]: Taking taylor expansion of 1/12 in im 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.615 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.615 * [taylor]: Taking taylor expansion of im in im 0.616 * [taylor]: Taking taylor expansion of 2 in im 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.616 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.616 * [taylor]: Taking taylor expansion of im in im 0.616 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 0.616 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 0.616 * [taylor]: Taking taylor expansion of 1/12 in im 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.616 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.616 * [taylor]: Taking taylor expansion of im in im 0.617 * [taylor]: Taking taylor expansion of 2 in im 0.635 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in (im) around 0 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.635 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.635 * [taylor]: Taking taylor expansion of im in im 0.635 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 0.635 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 0.635 * [taylor]: Taking taylor expansion of 1/12 in im 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.635 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.635 * [taylor]: Taking taylor expansion of im in im 0.636 * [taylor]: Taking taylor expansion of 2 in im 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.636 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.637 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 0.637 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 0.637 * [taylor]: Taking taylor expansion of 1/12 in im 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.637 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.637 * [taylor]: Taking taylor expansion of im in im 0.638 * [taylor]: Taking taylor expansion of 2 in im 0.651 * * * [progress]: simplifying candidates 0.652 * [simplify]: Simplifying using # : (+ (log 1/12) (* (log im) 4)) (+ (log 1/12) (* (log im) 4)) (+ (log 1/12) (log (pow im 4))) (log (* 1/12 (pow im 4))) (exp (* 1/12 (pow im 4))) (* (* (* 1/12 1/12) 1/12) (* (* (pow im 4) (pow im 4)) (pow im 4))) (* (cbrt (* 1/12 (pow im 4))) (cbrt (* 1/12 (pow im 4)))) (cbrt (* 1/12 (pow im 4))) (* (* (* 1/12 (pow im 4)) (* 1/12 (pow im 4))) (* 1/12 (pow im 4))) (sqrt (* 1/12 (pow im 4))) (sqrt (* 1/12 (pow im 4))) (* (sqrt 1/12) (pow (sqrt im) 4)) (* (sqrt 1/12) (pow (sqrt im) 4)) (* (sqrt 1/12) (sqrt (pow im 4))) (* (sqrt 1/12) (sqrt (pow im 4))) (* (sqrt 1/12) (pow im (/ 4 2))) (* (sqrt 1/12) (pow im (/ 4 2))) (* 1/12 (pow (* (cbrt im) (cbrt im)) 4)) (* 1/12 (pow (sqrt im) 4)) (* 1/12 (pow 1 4)) (* 1/12 (* (cbrt (pow im 4)) (cbrt (pow im 4)))) (* 1/12 (sqrt (pow im 4))) (* 1/12 1) (* 1/12 (pow im (/ 4 2))) (* (cbrt 1/12) (pow im 4)) (* (sqrt 1/12) (pow im 4)) (* 1/12 (pow im 4)) (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (+ (+ (log 0.5) (log (cos re))) (log (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (+ (log (* 0.5 (cos re))) (log (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (log (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (exp (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (* (cbrt (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (cbrt (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))))) (cbrt (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (* (* (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (sqrt (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (sqrt (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (* (* 0.5 (cos re)) (* 1/12 (pow im 4))) (* (* 0.5 (cos re)) (+ (pow im 2) 2)) (* (* 1/12 (pow im 4)) (* 0.5 (cos re))) (* (+ (pow im 2) 2) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))))) (* (* 0.5 (cos re)) (sqrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (* (* 0.5 (cos re)) (+ (pow (* 1/12 (pow im 4)) 3) (pow (+ (pow im 2) 2) 3))) (* (* 0.5 (cos re)) (- (* (* 1/12 (pow im 4)) (* 1/12 (pow im 4))) (* (+ (pow im 2) 2) (+ (pow im 2) 2)))) (* (exp (* 1/12 (pow im 4))) (* (exp (pow im 2)) (exp 2))) (* (exp (* 1/12 (pow im 4))) (exp (+ (pow im 2) 2))) (log (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (exp (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (* (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (* (* (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (sqrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (sqrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (+ (pow (* 1/12 (pow im 4)) 3) (pow (+ (pow im 2) 2) 3)) (+ (* (* 1/12 (pow im 4)) (* 1/12 (pow im 4))) (- (* (+ (pow im 2) 2) (+ (pow im 2) 2)) (* (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (- (* (* 1/12 (pow im 4)) (* 1/12 (pow im 4))) (* (+ (pow im 2) 2) (+ (pow im 2) 2))) (- (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (pow im 2)) (* 1/12 (pow im 4)) (* 1/12 (pow im 4)) (* 1/12 (pow im 4)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 1.0 (cos re)) (+ (* 0.041666666666666664 (* (cos re) (pow im 4))) (* 0.5 (* (cos re) (pow im 2))))) (+ (* 1.0 (cos re)) (+ (* 0.041666666666666664 (* (cos re) (pow im 4))) (* 0.5 (* (cos re) (pow im 2))))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) 0.658 * * [simplify]: iteration 0 : 356 enodes (cost 504 ) 0.666 * * [simplify]: iteration 1 : 1865 enodes (cost 439 ) 0.705 * * [simplify]: iteration 2 : 5002 enodes (cost 436 ) 0.708 * [simplify]: Simplified to: (log (* 1/12 (pow im 4))) (log (* 1/12 (pow im 4))) (log (* 1/12 (pow im 4))) (log (* 1/12 (pow im 4))) (exp (* 1/12 (pow im 4))) (pow (* 1/12 (pow im 4)) 3) (* (cbrt (* 1/12 (pow im 4))) (cbrt (* 1/12 (pow im 4)))) (cbrt (* 1/12 (pow im 4))) (pow (* 1/12 (pow im 4)) 3) (sqrt (* 1/12 (pow im 4))) (sqrt (* 1/12 (pow im 4))) (* (sqrt 1/12) (pow im 2)) (* (sqrt 1/12) (pow im 2)) (* (sqrt 1/12) (sqrt (pow im 4))) (* (sqrt 1/12) (sqrt (pow im 4))) (* (sqrt 1/12) (pow im 2)) (* (sqrt 1/12) (pow im 2)) (* 1/12 (pow (* (cbrt im) (cbrt im)) 4)) (* 1/12 (pow im 2)) 1/12 (* 1/12 (* (cbrt (pow im 4)) (cbrt (pow im 4)))) (* 1/12 (sqrt (pow im 4))) 1/12 (* 1/12 (pow im 2)) (* (cbrt 1/12) (pow im 4)) (* (sqrt 1/12) (pow im 4)) (* 1/12 (pow im 4)) (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (log (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (log (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (log (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (exp (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (pow (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) 3) (pow (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) 3) (* (cbrt (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (cbrt (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))))) (cbrt (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (pow (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) 3) (sqrt (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (sqrt (* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (* (* 0.5 (cos re)) (* 1/12 (pow im 4))) (* (* 0.5 (cos re)) (+ (pow im 2) 2)) (* (* 0.5 (cos re)) (* 1/12 (pow im 4))) (* (* 0.5 (cos re)) (+ (pow im 2) 2)) (* (* 0.5 (cos re)) (* (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))))) (* (* 0.5 (cos re)) (sqrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (* 0.5 (cos re)) (* (cos re) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (* (* 0.5 (cos re)) (+ (pow (* 1/12 (pow im 4)) 3) (pow (+ (pow im 2) 2) 3))) (* (* 0.5 (cos re)) (- (* (* 1/12 (pow im 4)) (* 1/12 (pow im 4))) (* (+ (pow im 2) 2) (+ (pow im 2) 2)))) (exp (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (exp (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (log (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (exp (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (* (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (pow (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) 3) (sqrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (sqrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (+ (pow (* 1/12 (pow im 4)) 3) (pow (+ (pow im 2) 2) 3)) (+ (* (+ (pow im 2) 2) (- (+ (pow im 2) 2) (* 1/12 (pow im 4)))) (* 1/144 (* (pow im 4) (pow im 4)))) (+ (- (* (+ (pow im 2) 2) (+ (pow im 2) 2))) (* (pow im 8) 1/144)) (- (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (pow im 2)) (* 1/12 (pow im 4)) (* 1/12 (pow im 4)) (* 1/12 (pow im 4)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 1.0 (cos re)) (+ (* 0.041666666666666664 (* (cos re) (pow im 4))) (* 0.5 (* (cos re) (pow im 2))))) (+ (* 1.0 (cos re)) (+ (* 0.041666666666666664 (* (cos re) (pow im 4))) (* 0.5 (* (cos re) (pow im 2))))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) 0.708 * * * [progress]: adding candidates to table 0.842 * * [progress]: iteration 3 / 4 0.842 * * * [progress]: picking best candidate 0.848 * * * * [pick]: Picked # 0.848 * * * [progress]: localizing error 0.869 * * * [progress]: generating rewritten candidates 0.869 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.875 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.880 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.883 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 0.889 * * * [progress]: generating series expansions 0.889 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.889 * [approximate]: Taking taylor expansion of (- (pow (exp im) -2) 1) in (im) around 0 0.889 * [taylor]: Taking taylor expansion of (- (pow (exp im) -2) 1) in im 0.889 * [taylor]: Taking taylor expansion of (pow (exp im) -2) in im 0.889 * [taylor]: Taking taylor expansion of (exp im) in im 0.889 * [taylor]: Taking taylor expansion of im in im 0.890 * [taylor]: Taking taylor expansion of 1 in im 0.890 * [taylor]: Taking taylor expansion of (- (pow (exp im) -2) 1) in im 0.890 * [taylor]: Taking taylor expansion of (pow (exp im) -2) in im 0.890 * [taylor]: Taking taylor expansion of (exp im) in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.890 * [taylor]: Taking taylor expansion of 1 in im 0.903 * [approximate]: Taking taylor expansion of (- (pow (exp (/ 1 im)) -2) 1) in (im) around 0 0.903 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) -2) 1) in im 0.903 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) -2) in im 0.903 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.903 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.903 * [taylor]: Taking taylor expansion of im in im 0.903 * [taylor]: Taking taylor expansion of 1 in im 0.903 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) -2) 1) in im 0.903 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) -2) in im 0.903 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.903 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.904 * [taylor]: Taking taylor expansion of im in im 0.904 * [taylor]: Taking taylor expansion of 1 in im 0.913 * [approximate]: Taking taylor expansion of (- (pow (exp (/ -1 im)) -2) 1) in (im) around 0 0.913 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) -2) 1) in im 0.913 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) -2) in im 0.913 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.913 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.913 * [taylor]: Taking taylor expansion of -1 in im 0.913 * [taylor]: Taking taylor expansion of im in im 0.914 * [taylor]: Taking taylor expansion of 1 in im 0.914 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) -2) 1) in im 0.914 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) -2) in im 0.914 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.914 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.914 * [taylor]: Taking taylor expansion of -1 in im 0.914 * [taylor]: Taking taylor expansion of im in im 0.914 * [taylor]: Taking taylor expansion of 1 in im 0.923 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.923 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 3) in (im) around 0 0.923 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.923 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.923 * [taylor]: Taking taylor expansion of (- im) in im 0.923 * [taylor]: Taking taylor expansion of im in im 0.924 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.924 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.924 * [taylor]: Taking taylor expansion of (- im) in im 0.924 * [taylor]: Taking taylor expansion of im in im 0.929 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in (im) around 0 0.929 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.929 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.929 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.929 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.929 * [taylor]: Taking taylor expansion of im in im 0.930 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.930 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.930 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.930 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.940 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.940 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.940 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.940 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.940 * [taylor]: Taking taylor expansion of im in im 0.940 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.940 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.940 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.940 * [taylor]: Taking taylor expansion of im in im 0.949 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.949 * [approximate]: Taking taylor expansion of (pow (exp im) 3) in (im) around 0 0.949 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.950 * [taylor]: Taking taylor expansion of (exp im) in im 0.950 * [taylor]: Taking taylor expansion of im in im 0.950 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.950 * [taylor]: Taking taylor expansion of (exp im) in im 0.950 * [taylor]: Taking taylor expansion of im in im 0.954 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.954 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.954 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.954 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.954 * [taylor]: Taking taylor expansion of im in im 0.954 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.954 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.954 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.954 * [taylor]: Taking taylor expansion of im in im 0.964 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in (im) around 0 0.964 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.964 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.964 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.964 * [taylor]: Taking taylor expansion of -1 in im 0.964 * [taylor]: Taking taylor expansion of im in im 0.965 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.965 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.965 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.965 * [taylor]: Taking taylor expansion of -1 in im 0.965 * [taylor]: Taking taylor expansion of im in im 0.974 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 0.974 * [approximate]: Taking taylor expansion of (pow (exp im) -2) in (im) around 0 0.974 * [taylor]: Taking taylor expansion of (pow (exp im) -2) in im 0.974 * [taylor]: Taking taylor expansion of (exp im) in im 0.974 * [taylor]: Taking taylor expansion of im in im 0.974 * [taylor]: Taking taylor expansion of (pow (exp im) -2) in im 0.974 * [taylor]: Taking taylor expansion of (exp im) in im 0.974 * [taylor]: Taking taylor expansion of im in im 0.979 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) -2) in (im) around 0 0.979 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) -2) in im 0.979 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.979 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.979 * [taylor]: Taking taylor expansion of im in im 0.979 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) -2) in im 0.979 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.979 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.979 * [taylor]: Taking taylor expansion of im in im 0.985 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) -2) in (im) around 0 0.985 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) -2) in im 0.985 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.985 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.985 * [taylor]: Taking taylor expansion of -1 in im 0.985 * [taylor]: Taking taylor expansion of im in im 0.986 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) -2) in im 0.986 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.986 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.986 * [taylor]: Taking taylor expansion of -1 in im 0.986 * [taylor]: Taking taylor expansion of im in im 0.997 * * * [progress]: simplifying candidates 0.998 * [simplify]: Simplifying using # : (/ (exp (pow (exp im) -2)) (exp 1)) (log (- (pow (exp im) -2) 1)) (exp (- (pow (exp im) -2) 1)) (* (cbrt (- (pow (exp im) -2) 1)) (cbrt (- (pow (exp im) -2) 1))) (cbrt (- (pow (exp im) -2) 1)) (* (* (- (pow (exp im) -2) 1) (- (pow (exp im) -2) 1)) (- (pow (exp im) -2) 1)) (sqrt (- (pow (exp im) -2) 1)) (sqrt (- (pow (exp im) -2) 1)) (- (pow (pow (exp im) -2) 3) (pow 1 3)) (+ (* (pow (exp im) -2) (pow (exp im) -2)) (+ (* 1 1) (* (pow (exp im) -2) 1))) (- 1) (- (* (pow (exp im) -2) (pow (exp im) -2)) (* 1 1)) (+ (pow (exp im) -2) 1) (+ (pow (sqrt (exp im)) -2) (sqrt 1)) (- (pow (sqrt (exp im)) -2) (sqrt 1)) (+ (pow (sqrt (exp im)) -2) 1) (- (pow (sqrt (exp im)) -2) 1) (+ (sqrt (pow (exp im) -2)) (sqrt 1)) (- (sqrt (pow (exp im) -2)) (sqrt 1)) (+ (sqrt (pow (exp im) -2)) 1) (- (sqrt (pow (exp im) -2)) 1) (+ (pow (exp im) (/ -2 2)) (sqrt 1)) (- (pow (exp im) (/ -2 2)) (sqrt 1)) (+ (pow (exp im) (/ -2 2)) 1) (- (pow (exp im) (/ -2 2)) 1) (+ (pow (sqrt (exp im)) -2) 1) (- (pow (sqrt (exp im)) -2) 1) (+ (sqrt (pow (exp im) -2)) 1) (- (sqrt (pow (exp im) -2)) 1) (+ (pow (exp im) (/ -2 2)) 1) (- (pow (exp im) (/ -2 2)) 1) (- (pow (exp im) -2) 1) (- 1) (* (- im) 3) (* (log (exp (- im))) 3) (* 1 3) (* (cbrt (- im)) 3) (* (sqrt (- im)) 3) (* (- im) 3) (* im 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (* (- (cbrt im)) 3) (* (- (sqrt im)) 3) (* (- im) 3) (pow (exp (- im)) (* (cbrt 3) (cbrt 3))) (pow (exp (- im)) (sqrt 3)) (pow (exp (- im)) 1) (pow (* (cbrt (exp (- im))) (cbrt (exp (- im)))) 3) (pow (cbrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow 1 3) (pow (exp (- im)) 3) (* (exp (- im)) (exp (- im))) (log (pow (exp (- im)) 3)) (exp (pow (exp (- im)) 3)) (* (cbrt (pow (exp (- im)) 3)) (cbrt (pow (exp (- im)) 3))) (cbrt (pow (exp (- im)) 3)) (* (* (pow (exp (- im)) 3) (pow (exp (- im)) 3)) (pow (exp (- im)) 3)) (pow (* (cbrt (exp (- im))) (cbrt (exp (- im)))) 3) (pow (cbrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow 1 3) (pow (exp (- im)) 3) (pow 1 3) (pow (exp im) 3) (pow (exp 0) 3) (pow (exp im) 3) (* (exp (- im)) (exp (- im))) (sqrt (pow (exp (- im)) 3)) (sqrt (pow (exp (- im)) 3)) (pow (exp (- im)) (/ 3 2)) (pow (exp (- im)) (/ 3 2)) (* im 3) (* (log (exp im)) 3) (* 1 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (pow (exp im) 1) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (log (pow (exp im) 3)) (exp (pow (exp im) 3)) (* (cbrt (pow (exp im) 3)) (cbrt (pow (exp im) 3))) (cbrt (pow (exp im) 3)) (* (* (pow (exp im) 3) (pow (exp im) 3)) (pow (exp im) 3)) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) (/ 3 2)) (pow (exp im) (/ 3 2)) (* im -2) (* (log (exp im)) -2) (* 1 -2) (* (cbrt im) -2) (* (sqrt im) -2) (* im -2) (pow (exp im) (* (cbrt -2) (cbrt -2))) (pow (exp im) (sqrt -2)) (pow (exp im) 1) (pow (* (cbrt (exp im)) (cbrt (exp im))) -2) (pow (cbrt (exp im)) -2) (pow (sqrt (exp im)) -2) (pow (sqrt (exp im)) -2) (pow 1 -2) (pow (exp im) -2) (log (pow (exp im) -2)) (exp (pow (exp im) -2)) (* (cbrt (pow (exp im) -2)) (cbrt (pow (exp im) -2))) (cbrt (pow (exp im) -2)) (* (* (pow (exp im) -2) (pow (exp im) -2)) (pow (exp im) -2)) (sqrt (pow (exp im) -2)) (sqrt (pow (exp im) -2)) (pow (exp im) (/ -2 2)) (pow (exp im) (/ -2 2)) (- (* 2 (pow im 2)) (+ (* 4/3 (pow im 3)) (* 2 im))) (- (/ 1 (pow (exp im) 2)) 1) (- (/ 1 (pow (exp im) 2)) 1) (- (+ (* 9/2 (pow im 2)) 1) (* 3 im)) (pow (exp (- im)) 3) (pow (exp (* -1 im)) 3) (+ (* 3 im) (+ (* 9/2 (pow im 2)) 1)) (pow (exp im) 3) (pow (exp im) 3) (- (+ (* 2 (pow im 2)) 1) (* 2 im)) (/ 1 (pow (exp im) 2)) (/ 1 (pow (exp im) 2)) 1.003 * * [simplify]: iteration 0 : 341 enodes (cost 415 ) 1.011 * * [simplify]: iteration 1 : 1531 enodes (cost 378 ) 1.051 * * [simplify]: iteration 2 : 5001 enodes (cost 353 ) 1.054 * [simplify]: Simplified to: (exp (- (pow (exp im) -2) 1)) (log (- (pow (exp im) -2) 1)) (exp (- (pow (exp im) -2) 1)) (* (cbrt (- (pow (exp im) -2) 1)) (cbrt (- (pow (exp im) -2) 1))) (cbrt (- (pow (exp im) -2) 1)) (pow (- (pow (exp im) -2) 1) 3) (sqrt (- (pow (exp im) -2) 1)) (sqrt (- (pow (exp im) -2) 1)) (- (pow (pow (exp im) -2) 3) 1) (+ (+ (pow (exp im) -4) 1) (pow (exp im) -2)) (- 1) (- (pow (exp im) -4) 1) (+ (pow (exp im) -2) 1) (+ (pow (exp im) -1) 1) (- (pow (exp im) -1) 1) (+ (pow (exp im) -1) 1) (- (pow (exp im) -1) 1) (+ (pow (exp im) -1) 1) (- (pow (exp im) -1) 1) (+ (pow (exp im) -1) 1) (- (pow (exp im) -1) 1) (+ (pow (exp im) -1) 1) (- (pow (exp im) -1) 1) (+ (pow (exp im) -1) 1) (- (pow (exp im) -1) 1) (+ (pow (exp im) -1) 1) (- (pow (exp im) -1) 1) (+ (pow (exp im) -1) 1) (- (pow (exp im) -1) 1) (+ (pow (exp im) -1) 1) (- (pow (exp im) -1) 1) (- (pow (exp im) -2) 1) (- 1) (* -3 im) (* -3 im) 3 (* (cbrt (- im)) 3) (* (sqrt (- im)) 3) (* -3 im) (* im 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (* (- (cbrt im)) 3) (* (- (sqrt im)) 3) (* -3 im) (pow (exp (- im)) (* (cbrt 3) (cbrt 3))) (pow (exp (- im)) (sqrt 3)) (exp (- im)) (pow (exp im) -2) (exp (- im)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) 1 (pow (exp im) -3) (pow (exp im) -2) (* -3 im) (pow E (pow (exp im) -3)) (pow (exp im) -2) (exp (- im)) (pow (pow (exp (* -1 im)) 3) 3) (pow (exp im) -2) (exp (- im)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) 1 (pow (exp im) -3) 1 (pow (exp im) 3) 1 (pow (exp im) 3) (pow (exp im) -2) (sqrt (pow (exp (- im)) 3)) (sqrt (pow (exp (- im)) 3)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) (* im 3) (* im 3) 3 (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (exp im) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (* im 3) (exp (pow (exp im) 3)) (pow (exp im) 2) (exp im) (pow (pow (exp im) 3) 3) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) 3/2) (pow (exp im) 3/2) (* im -2) (* im -2) -2 (* (cbrt im) -2) (* (sqrt im) -2) (* im -2) (pow (exp im) (* (cbrt -2) (cbrt -2))) (pow (exp im) (sqrt -2)) (exp im) (/ 1 (pow (cbrt (exp im)) 4)) (pow (cbrt (exp im)) -2) (exp (- im)) (exp (- im)) 1 (pow (exp im) -2) (* im -2) (exp (pow (exp im) -2)) (pow (cbrt (exp (- im))) 4) (cbrt (pow (exp im) -2)) (pow (pow (exp im) -2) 3) (exp (- im)) (exp (- im)) (exp (- im)) (exp (- im)) (- (* 2 (pow im 2)) (+ (* 4/3 (pow im 3)) (* 2 im))) (- (pow (exp im) -2) 1) (- (pow (exp im) -2) 1) (- (+ (* 9/2 (pow im 2)) 1) (* 3 im)) (pow (exp im) -3) (pow (exp im) -3) (+ (* 3 im) (+ (* 9/2 (pow im 2)) 1)) (pow (exp im) 3) (pow (exp im) 3) (- (+ (* 2 (pow im 2)) 1) (* 2 im)) (pow (exp im) -2) (pow (exp im) -2) 1.054 * * * [progress]: adding candidates to table 1.359 * * [progress]: iteration 4 / 4 1.359 * * * [progress]: picking best candidate 1.362 * * * * [pick]: Picked # 1.362 * * * [progress]: localizing error 1.374 * * * [progress]: generating rewritten candidates 1.375 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.396 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.407 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.412 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.420 * * * [progress]: generating series expansions 1.420 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.420 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 1.420 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 1.420 * [taylor]: Taking taylor expansion of 0.5 in im 1.420 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 1.420 * [taylor]: Taking taylor expansion of (cos re) in im 1.420 * [taylor]: Taking taylor expansion of re in im 1.420 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.421 * [taylor]: Taking taylor expansion of (exp im) in im 1.421 * [taylor]: Taking taylor expansion of im in im 1.421 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.421 * [taylor]: Taking taylor expansion of (- im) in im 1.421 * [taylor]: Taking taylor expansion of im in im 1.421 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.421 * [taylor]: Taking taylor expansion of 0.5 in re 1.421 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.421 * [taylor]: Taking taylor expansion of (cos re) in re 1.421 * [taylor]: Taking taylor expansion of re in re 1.421 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.421 * [taylor]: Taking taylor expansion of (exp im) in re 1.422 * [taylor]: Taking taylor expansion of im in re 1.422 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.422 * [taylor]: Taking taylor expansion of (- im) in re 1.422 * [taylor]: Taking taylor expansion of im in re 1.422 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.422 * [taylor]: Taking taylor expansion of 0.5 in re 1.422 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.422 * [taylor]: Taking taylor expansion of (cos re) in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.422 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.422 * [taylor]: Taking taylor expansion of (exp im) in re 1.422 * [taylor]: Taking taylor expansion of im in re 1.422 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.422 * [taylor]: Taking taylor expansion of (- im) in re 1.422 * [taylor]: Taking taylor expansion of im in re 1.422 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 1.422 * [taylor]: Taking taylor expansion of 0.5 in im 1.422 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.422 * [taylor]: Taking taylor expansion of (exp im) in im 1.422 * [taylor]: Taking taylor expansion of im in im 1.422 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.422 * [taylor]: Taking taylor expansion of (- im) in im 1.422 * [taylor]: Taking taylor expansion of im in im 1.426 * [taylor]: Taking taylor expansion of 0 in im 1.432 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 1.432 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 1.432 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.432 * [taylor]: Taking taylor expansion of 0.25 in im 1.432 * [taylor]: Taking taylor expansion of (exp im) in im 1.432 * [taylor]: Taking taylor expansion of im in im 1.432 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 1.432 * [taylor]: Taking taylor expansion of 0.25 in im 1.432 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.432 * [taylor]: Taking taylor expansion of (- im) in im 1.432 * [taylor]: Taking taylor expansion of im in im 1.438 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 1.438 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.438 * [taylor]: Taking taylor expansion of 0.5 in im 1.438 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.438 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.439 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.439 * [taylor]: Taking taylor expansion of re in im 1.439 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.439 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.439 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.439 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.439 * [taylor]: Taking taylor expansion of im in im 1.439 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.439 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.439 * [taylor]: Taking taylor expansion of im in im 1.440 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.440 * [taylor]: Taking taylor expansion of 0.5 in re 1.440 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.440 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.440 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.440 * [taylor]: Taking taylor expansion of re in re 1.440 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.440 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.440 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.440 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.440 * [taylor]: Taking taylor expansion of im in re 1.440 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.440 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.440 * [taylor]: Taking taylor expansion of im in re 1.440 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.440 * [taylor]: Taking taylor expansion of 0.5 in re 1.440 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.440 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.440 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.440 * [taylor]: Taking taylor expansion of re in re 1.441 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.441 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.441 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.441 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.441 * [taylor]: Taking taylor expansion of im in re 1.441 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.441 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.441 * [taylor]: Taking taylor expansion of im in re 1.441 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.441 * [taylor]: Taking taylor expansion of 0.5 in im 1.441 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.441 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.441 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.441 * [taylor]: Taking taylor expansion of re in im 1.441 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.441 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.441 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.441 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.442 * [taylor]: Taking taylor expansion of im in im 1.442 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.442 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.442 * [taylor]: Taking taylor expansion of im in im 1.445 * [taylor]: Taking taylor expansion of 0 in im 1.451 * [taylor]: Taking taylor expansion of 0 in im 1.460 * [taylor]: Taking taylor expansion of 0 in im 1.460 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 1.460 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.460 * [taylor]: Taking taylor expansion of 0.5 in im 1.460 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.460 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.460 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.460 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.460 * [taylor]: Taking taylor expansion of -1 in im 1.460 * [taylor]: Taking taylor expansion of im in im 1.461 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.461 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.461 * [taylor]: Taking taylor expansion of im in im 1.461 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.461 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.461 * [taylor]: Taking taylor expansion of -1 in im 1.461 * [taylor]: Taking taylor expansion of re in im 1.461 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.461 * [taylor]: Taking taylor expansion of 0.5 in re 1.461 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.461 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.461 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.461 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.461 * [taylor]: Taking taylor expansion of -1 in re 1.461 * [taylor]: Taking taylor expansion of im in re 1.461 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.461 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.461 * [taylor]: Taking taylor expansion of im in re 1.461 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.461 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.461 * [taylor]: Taking taylor expansion of -1 in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.462 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.462 * [taylor]: Taking taylor expansion of 0.5 in re 1.462 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.462 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.462 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.462 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.462 * [taylor]: Taking taylor expansion of -1 in re 1.462 * [taylor]: Taking taylor expansion of im in re 1.462 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.462 * [taylor]: Taking taylor expansion of im in re 1.462 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.462 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.462 * [taylor]: Taking taylor expansion of -1 in re 1.462 * [taylor]: Taking taylor expansion of re in re 1.463 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.463 * [taylor]: Taking taylor expansion of 0.5 in im 1.463 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.463 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.463 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.463 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.463 * [taylor]: Taking taylor expansion of -1 in im 1.463 * [taylor]: Taking taylor expansion of im in im 1.463 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.463 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.463 * [taylor]: Taking taylor expansion of im in im 1.464 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.464 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.464 * [taylor]: Taking taylor expansion of -1 in im 1.464 * [taylor]: Taking taylor expansion of re in im 1.466 * [taylor]: Taking taylor expansion of 0 in im 1.472 * [taylor]: Taking taylor expansion of 0 in im 1.484 * [taylor]: Taking taylor expansion of 0 in im 1.484 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.484 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in (re im) around 0 1.484 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in im 1.485 * [taylor]: Taking taylor expansion of 0.5 in im 1.485 * [taylor]: Taking taylor expansion of (* (cos re) (sqrt (+ (exp im) (exp (- im))))) in im 1.485 * [taylor]: Taking taylor expansion of (cos re) in im 1.485 * [taylor]: Taking taylor expansion of re in im 1.485 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 1.485 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.485 * [taylor]: Taking taylor expansion of (exp im) in im 1.485 * [taylor]: Taking taylor expansion of im in im 1.485 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.485 * [taylor]: Taking taylor expansion of (- im) in im 1.485 * [taylor]: Taking taylor expansion of im in im 1.488 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in re 1.488 * [taylor]: Taking taylor expansion of 0.5 in re 1.488 * [taylor]: Taking taylor expansion of (* (cos re) (sqrt (+ (exp im) (exp (- im))))) in re 1.488 * [taylor]: Taking taylor expansion of (cos re) in re 1.488 * [taylor]: Taking taylor expansion of re in re 1.488 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in re 1.488 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.488 * [taylor]: Taking taylor expansion of (exp im) in re 1.488 * [taylor]: Taking taylor expansion of im in re 1.488 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.488 * [taylor]: Taking taylor expansion of (- im) in re 1.488 * [taylor]: Taking taylor expansion of im in re 1.490 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in re 1.490 * [taylor]: Taking taylor expansion of 0.5 in re 1.490 * [taylor]: Taking taylor expansion of (* (cos re) (sqrt (+ (exp im) (exp (- im))))) in re 1.490 * [taylor]: Taking taylor expansion of (cos re) in re 1.490 * [taylor]: Taking taylor expansion of re in re 1.490 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in re 1.490 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.490 * [taylor]: Taking taylor expansion of (exp im) in re 1.490 * [taylor]: Taking taylor expansion of im in re 1.490 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.490 * [taylor]: Taking taylor expansion of (- im) in re 1.490 * [taylor]: Taking taylor expansion of im in re 1.492 * [taylor]: Taking taylor expansion of (* 0.5 (sqrt (+ (exp im) (exp (- im))))) in im 1.492 * [taylor]: Taking taylor expansion of 0.5 in im 1.492 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 1.492 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.492 * [taylor]: Taking taylor expansion of (exp im) in im 1.492 * [taylor]: Taking taylor expansion of im in im 1.492 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.492 * [taylor]: Taking taylor expansion of (- im) in im 1.492 * [taylor]: Taking taylor expansion of im in im 1.497 * [taylor]: Taking taylor expansion of 0 in im 1.502 * [taylor]: Taking taylor expansion of (- (* 0.25 (sqrt (+ (exp im) (exp (- im)))))) in im 1.502 * [taylor]: Taking taylor expansion of (* 0.25 (sqrt (+ (exp im) (exp (- im))))) in im 1.502 * [taylor]: Taking taylor expansion of 0.25 in im 1.502 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 1.502 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.502 * [taylor]: Taking taylor expansion of (exp im) in im 1.502 * [taylor]: Taking taylor expansion of im in im 1.502 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.502 * [taylor]: Taking taylor expansion of (- im) in im 1.502 * [taylor]: Taking taylor expansion of im in im 1.518 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0 1.518 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.518 * [taylor]: Taking taylor expansion of 0.5 in im 1.518 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.518 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.518 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.518 * [taylor]: Taking taylor expansion of re in im 1.518 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.518 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.518 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.518 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.518 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.519 * [taylor]: Taking taylor expansion of im in im 1.519 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.519 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.519 * [taylor]: Taking taylor expansion of im in im 1.520 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 1.520 * [taylor]: Taking taylor expansion of 0.5 in re 1.520 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.520 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.520 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.520 * [taylor]: Taking taylor expansion of re in re 1.520 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.520 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.520 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.520 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.520 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.520 * [taylor]: Taking taylor expansion of im in re 1.521 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.521 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.521 * [taylor]: Taking taylor expansion of im in re 1.523 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 1.523 * [taylor]: Taking taylor expansion of 0.5 in re 1.523 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.523 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.523 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.523 * [taylor]: Taking taylor expansion of re in re 1.523 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.523 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.523 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.523 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.523 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.523 * [taylor]: Taking taylor expansion of im in re 1.523 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.523 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.523 * [taylor]: Taking taylor expansion of im in re 1.526 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 1.526 * [taylor]: Taking taylor expansion of 0.5 in im 1.526 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.526 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.526 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.526 * [taylor]: Taking taylor expansion of re in im 1.526 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.526 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.526 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.526 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.526 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.526 * [taylor]: Taking taylor expansion of im in im 1.527 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.527 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.527 * [taylor]: Taking taylor expansion of im in im 1.529 * [taylor]: Taking taylor expansion of 0 in im 1.535 * [taylor]: Taking taylor expansion of 0 in im 1.544 * [taylor]: Taking taylor expansion of 0 in im 1.545 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in (re im) around 0 1.545 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in im 1.545 * [taylor]: Taking taylor expansion of 0.5 in im 1.545 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in im 1.545 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.545 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.545 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.545 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.545 * [taylor]: Taking taylor expansion of -1 in im 1.545 * [taylor]: Taking taylor expansion of im in im 1.545 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.545 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.545 * [taylor]: Taking taylor expansion of im in im 1.546 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.546 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.546 * [taylor]: Taking taylor expansion of -1 in im 1.546 * [taylor]: Taking taylor expansion of re in im 1.546 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in re 1.546 * [taylor]: Taking taylor expansion of 0.5 in re 1.546 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in re 1.546 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.546 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.546 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.546 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.546 * [taylor]: Taking taylor expansion of -1 in re 1.546 * [taylor]: Taking taylor expansion of im in re 1.546 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.546 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.546 * [taylor]: Taking taylor expansion of im in re 1.548 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.548 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.548 * [taylor]: Taking taylor expansion of -1 in re 1.548 * [taylor]: Taking taylor expansion of re in re 1.548 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in re 1.548 * [taylor]: Taking taylor expansion of 0.5 in re 1.548 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in re 1.548 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 1.549 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.549 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.549 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.549 * [taylor]: Taking taylor expansion of -1 in re 1.549 * [taylor]: Taking taylor expansion of im in re 1.549 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.549 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.549 * [taylor]: Taking taylor expansion of im in re 1.550 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.550 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.550 * [taylor]: Taking taylor expansion of -1 in re 1.550 * [taylor]: Taking taylor expansion of re in re 1.551 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in im 1.551 * [taylor]: Taking taylor expansion of 0.5 in im 1.551 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in im 1.551 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 1.551 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.551 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.551 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.551 * [taylor]: Taking taylor expansion of -1 in im 1.551 * [taylor]: Taking taylor expansion of im in im 1.551 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.551 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.551 * [taylor]: Taking taylor expansion of im in im 1.552 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.552 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.552 * [taylor]: Taking taylor expansion of -1 in im 1.552 * [taylor]: Taking taylor expansion of re in im 1.554 * [taylor]: Taking taylor expansion of 0 in im 1.559 * [taylor]: Taking taylor expansion of 0 in im 1.568 * [taylor]: Taking taylor expansion of 0 in im 1.568 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.568 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 1.568 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.568 * [taylor]: Taking taylor expansion of (exp im) in im 1.568 * [taylor]: Taking taylor expansion of im in im 1.568 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.568 * [taylor]: Taking taylor expansion of (- im) in im 1.568 * [taylor]: Taking taylor expansion of im in im 1.569 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.569 * [taylor]: Taking taylor expansion of (exp im) in im 1.569 * [taylor]: Taking taylor expansion of im in im 1.569 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.569 * [taylor]: Taking taylor expansion of (- im) in im 1.569 * [taylor]: Taking taylor expansion of im in im 1.589 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 1.589 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.589 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.589 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.589 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.589 * [taylor]: Taking taylor expansion of im in im 1.589 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.589 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.589 * [taylor]: Taking taylor expansion of im in im 1.590 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.590 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.590 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.590 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.590 * [taylor]: Taking taylor expansion of im in im 1.590 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.590 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.590 * [taylor]: Taking taylor expansion of im in im 1.592 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.592 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.592 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.593 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.593 * [taylor]: Taking taylor expansion of -1 in im 1.593 * [taylor]: Taking taylor expansion of im in im 1.593 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.593 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.593 * [taylor]: Taking taylor expansion of im in im 1.593 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.593 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.593 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.593 * [taylor]: Taking taylor expansion of -1 in im 1.593 * [taylor]: Taking taylor expansion of im in im 1.594 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.594 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.594 * [taylor]: Taking taylor expansion of im in im 1.596 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.596 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 1.596 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.596 * [taylor]: Taking taylor expansion of (exp im) in im 1.596 * [taylor]: Taking taylor expansion of im in im 1.596 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.596 * [taylor]: Taking taylor expansion of (- im) in im 1.596 * [taylor]: Taking taylor expansion of im in im 1.596 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.596 * [taylor]: Taking taylor expansion of (exp im) in im 1.596 * [taylor]: Taking taylor expansion of im in im 1.596 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.596 * [taylor]: Taking taylor expansion of (- im) in im 1.596 * [taylor]: Taking taylor expansion of im in im 1.611 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 1.611 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.611 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.611 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.611 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.611 * [taylor]: Taking taylor expansion of im in im 1.612 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.612 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.612 * [taylor]: Taking taylor expansion of im in im 1.612 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.612 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.612 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.612 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.612 * [taylor]: Taking taylor expansion of im in im 1.613 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.613 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.613 * [taylor]: Taking taylor expansion of im in im 1.615 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.615 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.615 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.615 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.615 * [taylor]: Taking taylor expansion of -1 in im 1.615 * [taylor]: Taking taylor expansion of im in im 1.616 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.616 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.616 * [taylor]: Taking taylor expansion of im in im 1.616 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.616 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.616 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.616 * [taylor]: Taking taylor expansion of -1 in im 1.616 * [taylor]: Taking taylor expansion of im in im 1.616 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.616 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.616 * [taylor]: Taking taylor expansion of im in im 1.619 * * * [progress]: simplifying candidates 1.620 * [simplify]: Simplifying using # : (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))) (+ (+ (+ (log 0.5) (log (cos re))) (log (sqrt (+ (exp (- im)) (exp im))))) (log (sqrt (+ (exp (- im)) (exp im))))) (+ (+ (log (* 0.5 (cos re))) (log (sqrt (+ (exp (- im)) (exp im))))) (log (sqrt (+ (exp (- im)) (exp im))))) (+ (log (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (log (sqrt (+ (exp (- im)) (exp im))))) (log (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (exp (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (cbrt (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (cbrt (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))))) (cbrt (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (sqrt (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (sqrt (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))) (* (* (* 0.5 (cos re)) (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (sqrt (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (sqrt (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (* (* (* 0.5 (cos re)) (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (sqrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (* (sqrt (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (sqrt (- (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (sqrt (- (exp (- im)) (exp im))) (sqrt (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))) (* (* (* 0.5 (cos re)) (sqrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (sqrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (* (sqrt (- (exp (- im)) (exp im))) (sqrt (- (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im)))))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (sqrt (+ (exp (- im)) (exp im))))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt 1)) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt 1)) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (sqrt (+ (exp (- im)) (exp im))))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) 1) (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (* (* (* 0.5 (cos re)) (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3)))) (sqrt (+ (exp (- im)) (exp im)))) (* (* (* 0.5 (cos re)) (sqrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (+ (+ (log 0.5) 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(+ (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)) (* (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))) (- (+ (* 0.5 (sqrt 2)) (* 0.25 (/ (pow im 2) (sqrt 2)))) (* 0.25 (* (pow re 2) (sqrt 2)))) (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) (* 0.5 (* (sqrt (+ (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)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 1.627 * * [simplify]: iteration 0 : 388 enodes (cost 1083 ) 1.635 * * [simplify]: iteration 1 : 1995 enodes (cost 885 ) 1.675 * * [simplify]: iteration 2 : 5002 enodes (cost 870 ) 1.679 * [simplify]: Simplified to: (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) (pow (exp (* 0.5 (cos re))) (+ 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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)))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)) (+ (- (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (- im)) (exp im)) (+ (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)))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)) (+ (- (exp (+ im im))) (pow (exp -1) (* 2 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 (* (cos re) (+ (exp im) (exp (- im))))) (+ (* 0.25 (- (/ (pow im 2) (sqrt 2)) (* (pow re 2) (sqrt 2)))) (* 0.5 (sqrt 2))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) 1.679 * * * [progress]: adding candidates to table 2.047 * [progress]: [Phase 3 of 3] Extracting. 2.047 * * [regime]: Finding splitpoints for: (# # # #) 2.048 * * * [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) 2.049 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# # # #) 2.069 * * * * [regimes]: Trying to branch on (cos re) from (# # # #) 2.094 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# # # #) 2.115 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# # # #) 2.147 * * * * [regimes]: Trying to branch on im from (# # # #) 2.165 * * * * [regimes]: Trying to branch on re from (# # # #) 2.187 * * * [regime]: Found split indices: #