15.939 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.086 * * * [progress]: [2/2] Setting up program. 0.088 * [progress]: [Phase 2 of 3] Improving. 0.088 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.090 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.092 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.093 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.095 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.098 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.102 * * [simplify]: iteration 5 : 629 enodes (cost 7 ) 0.109 * * [simplify]: iteration 6 : 1413 enodes (cost 7 ) 0.120 * * [simplify]: iteration 7 : 2144 enodes (cost 7 ) 0.156 * * [simplify]: iteration 8 : 5001 enodes (cost 7 ) 0.156 * [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 # 0.159 * * * [progress]: localizing error 0.168 * * * [progress]: generating rewritten candidates 0.168 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.171 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.178 * * * [progress]: generating series expansions 0.178 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.178 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.178 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.178 * [taylor]: Taking taylor expansion of (exp im) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.178 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.178 * [taylor]: Taking taylor expansion of (- im) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.179 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.179 * [taylor]: Taking taylor expansion of (exp im) in im 0.179 * [taylor]: Taking taylor expansion of im in im 0.179 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.179 * [taylor]: Taking taylor expansion of (- im) in im 0.179 * [taylor]: Taking taylor expansion of im in im 0.197 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.197 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.197 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.197 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.197 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.197 * [taylor]: Taking taylor expansion of im in im 0.198 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.198 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.198 * [taylor]: Taking taylor expansion of im in im 0.198 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.198 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.198 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.198 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.198 * [taylor]: Taking taylor expansion of im in im 0.199 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.199 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.199 * [taylor]: Taking taylor expansion of im in im 0.201 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.201 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.201 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.201 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.201 * [taylor]: Taking taylor expansion of -1 in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.201 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.202 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.202 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.202 * [taylor]: Taking taylor expansion of -1 in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.204 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.204 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.204 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.204 * [taylor]: Taking taylor expansion of 0.5 in im 0.204 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.204 * [taylor]: Taking taylor expansion of (cos re) in im 0.204 * [taylor]: Taking taylor expansion of re in im 0.204 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.204 * [taylor]: Taking taylor expansion of (exp im) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.204 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.204 * [taylor]: Taking taylor expansion of (- im) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.205 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.205 * [taylor]: Taking taylor expansion of 0.5 in re 0.205 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.205 * [taylor]: Taking taylor expansion of (cos re) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.205 * [taylor]: Taking taylor expansion of (exp im) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.205 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.205 * [taylor]: Taking taylor expansion of (- im) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.205 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.205 * [taylor]: Taking taylor expansion of 0.5 in re 0.205 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.205 * [taylor]: Taking taylor expansion of (cos re) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.205 * [taylor]: Taking taylor expansion of (exp im) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.205 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.205 * [taylor]: Taking taylor expansion of (- im) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.205 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.205 * [taylor]: Taking taylor expansion of 0.5 in im 0.205 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.205 * [taylor]: Taking taylor expansion of (exp im) in im 0.205 * [taylor]: Taking taylor expansion of im in im 0.205 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.206 * [taylor]: Taking taylor expansion of (- im) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.209 * [taylor]: Taking taylor expansion of 0 in im 0.214 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.214 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.214 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.214 * [taylor]: Taking taylor expansion of 0.25 in im 0.214 * [taylor]: Taking taylor expansion of (exp im) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.214 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.214 * [taylor]: Taking taylor expansion of 0.25 in im 0.214 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.214 * [taylor]: Taking taylor expansion of (- im) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.220 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.220 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.220 * [taylor]: Taking taylor expansion of 0.5 in im 0.220 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.220 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.220 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.220 * [taylor]: Taking taylor expansion of re in im 0.220 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.220 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.220 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.220 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.220 * [taylor]: Taking taylor expansion of im in im 0.221 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.221 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.221 * [taylor]: Taking taylor expansion of im in im 0.221 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.221 * [taylor]: Taking taylor expansion of 0.5 in re 0.221 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.221 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.221 * [taylor]: Taking taylor expansion of re in re 0.221 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.221 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.221 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.221 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.221 * [taylor]: Taking taylor expansion of im in re 0.222 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.222 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.222 * [taylor]: Taking taylor expansion of im in re 0.222 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.222 * [taylor]: Taking taylor expansion of 0.5 in re 0.222 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.222 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.222 * [taylor]: Taking taylor expansion of re in re 0.222 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.222 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.222 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.222 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.222 * [taylor]: Taking taylor expansion of im in re 0.222 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.222 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.222 * [taylor]: Taking taylor expansion of im in re 0.223 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.223 * [taylor]: Taking taylor expansion of 0.5 in im 0.223 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.223 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.223 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.223 * [taylor]: Taking taylor expansion of re in im 0.223 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.223 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.223 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.223 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.223 * [taylor]: Taking taylor expansion of im in im 0.223 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.223 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.223 * [taylor]: Taking taylor expansion of im in im 0.227 * [taylor]: Taking taylor expansion of 0 in im 0.232 * [taylor]: Taking taylor expansion of 0 in im 0.240 * [taylor]: Taking taylor expansion of 0 in im 0.241 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.241 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.241 * [taylor]: Taking taylor expansion of 0.5 in im 0.241 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.241 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.241 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.241 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.241 * [taylor]: Taking taylor expansion of -1 in im 0.241 * [taylor]: Taking taylor expansion of im in im 0.241 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.241 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.241 * [taylor]: Taking taylor expansion of im in im 0.242 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.242 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.242 * [taylor]: Taking taylor expansion of -1 in im 0.242 * [taylor]: Taking taylor expansion of re in im 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.242 * [taylor]: Taking taylor expansion of 0.5 in re 0.242 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.242 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.242 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.242 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.242 * [taylor]: Taking taylor expansion of -1 in re 0.242 * [taylor]: Taking taylor expansion of im in re 0.242 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.242 * [taylor]: Taking taylor expansion of im in re 0.242 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.242 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.242 * [taylor]: Taking taylor expansion of -1 in re 0.242 * [taylor]: Taking taylor expansion of re in re 0.243 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.243 * [taylor]: Taking taylor expansion of 0.5 in re 0.243 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.243 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.243 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.243 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.243 * [taylor]: Taking taylor expansion of -1 in re 0.243 * [taylor]: Taking taylor expansion of im in re 0.243 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.243 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.243 * [taylor]: Taking taylor expansion of im in re 0.243 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.243 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.243 * [taylor]: Taking taylor expansion of -1 in re 0.243 * [taylor]: Taking taylor expansion of re in re 0.243 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.244 * [taylor]: Taking taylor expansion of 0.5 in im 0.244 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.244 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.244 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.244 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.244 * [taylor]: Taking taylor expansion of -1 in im 0.244 * [taylor]: Taking taylor expansion of im in im 0.244 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.244 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.244 * [taylor]: Taking taylor expansion of im in im 0.244 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.244 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.244 * [taylor]: Taking taylor expansion of -1 in im 0.244 * [taylor]: Taking taylor expansion of re in im 0.247 * [taylor]: Taking taylor expansion of 0 in im 0.252 * [taylor]: Taking taylor expansion of 0 in im 0.259 * [taylor]: Taking taylor expansion of 0 in im 0.259 * * * [progress]: simplifying candidates 0.260 * [simplify]: Simplifying using # : (+ (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)) (* (* 0.5 (cos re)) (exp (- im))) (* (* 0.5 (cos re)) (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))) (* (exp im) (* 0.5 (cos re))) (* (exp (- im)) (* 0.5 (cos re))) (* (cos re) (+ (exp (- im)) (exp im))) (* 0.5 (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.262 * * [simplify]: iteration 0 : 146 enodes (cost 129 ) 0.265 * * [simplify]: iteration 1 : 441 enodes (cost 124 ) 0.272 * * [simplify]: iteration 2 : 1436 enodes (cost 117 ) 0.311 * * [simplify]: iteration 3 : 5003 enodes (cost 117 ) 0.312 * [simplify]: Simplified to: (+ (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)) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (* (cos re) (+ (exp im) (exp (- im)))) (* 0.5 (+ (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)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (+ (* 0.5 (- (pow im 2) (pow re 2))) 1.0) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.312 * * * [progress]: adding candidates to table 0.356 * * [progress]: iteration 2 / 4 0.356 * * * [progress]: picking best candidate 0.359 * * * * [pick]: Picked # 0.359 * * * [progress]: localizing error 0.381 * * * [progress]: generating rewritten candidates 0.381 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.386 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.389 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.391 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.394 * * * [progress]: generating series expansions 0.394 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.394 * [approximate]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in (im) around 0 0.394 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 0.394 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.394 * [taylor]: Taking taylor expansion of (exp im) in im 0.394 * [taylor]: Taking taylor expansion of im in im 0.394 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.394 * [taylor]: Taking taylor expansion of (exp im) in im 0.394 * [taylor]: Taking taylor expansion of im in im 0.394 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.394 * [taylor]: Taking taylor expansion of (- im) in im 0.394 * [taylor]: Taking taylor expansion of im in im 0.395 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 0.395 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.395 * [taylor]: Taking taylor expansion of (exp im) in im 0.395 * [taylor]: Taking taylor expansion of im in im 0.395 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.395 * [taylor]: Taking taylor expansion of (exp im) in im 0.395 * [taylor]: Taking taylor expansion of im in im 0.395 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.395 * [taylor]: Taking taylor expansion of (- im) in im 0.395 * [taylor]: Taking taylor expansion of im in im 0.411 * [approximate]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 0.411 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.411 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.411 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.411 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.411 * [taylor]: Taking taylor expansion of im in im 0.411 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.411 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.411 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.411 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.411 * [taylor]: Taking taylor expansion of im in im 0.412 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.412 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.412 * [taylor]: Taking taylor expansion of im in im 0.412 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.412 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.412 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.412 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.412 * [taylor]: Taking taylor expansion of im in im 0.413 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.413 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.413 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.413 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.413 * [taylor]: Taking taylor expansion of im in im 0.413 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.413 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.413 * [taylor]: Taking taylor expansion of im in im 0.425 * [approximate]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 0.425 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.425 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.425 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.425 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.425 * [taylor]: Taking taylor expansion of -1 in im 0.425 * [taylor]: Taking taylor expansion of im in im 0.425 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 0.425 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.425 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.425 * [taylor]: Taking taylor expansion of -1 in im 0.425 * [taylor]: Taking taylor expansion of im in im 0.426 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.426 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.426 * [taylor]: Taking taylor expansion of im in im 0.426 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.426 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.426 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.426 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.426 * [taylor]: Taking taylor expansion of -1 in im 0.426 * [taylor]: Taking taylor expansion of im in im 0.426 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 0.426 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.427 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.427 * [taylor]: Taking taylor expansion of -1 in im 0.427 * [taylor]: Taking taylor expansion of im in im 0.427 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.427 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.427 * [taylor]: Taking taylor expansion of im in im 0.438 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.438 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 3) in (im) around 0 0.438 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.438 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.438 * [taylor]: Taking taylor expansion of (- im) in im 0.439 * [taylor]: Taking taylor expansion of im in im 0.439 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.439 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.439 * [taylor]: Taking taylor expansion of (- im) in im 0.439 * [taylor]: Taking taylor expansion of im in im 0.444 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in (im) around 0 0.444 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.444 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.444 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.444 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.444 * [taylor]: Taking taylor expansion of im in im 0.445 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.445 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.445 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.454 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.454 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.454 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.454 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.454 * [taylor]: Taking taylor expansion of im in im 0.455 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.455 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.455 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.455 * [taylor]: Taking taylor expansion of im in im 0.467 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.467 * [approximate]: Taking taylor expansion of (pow (exp im) 3) in (im) around 0 0.467 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.467 * [taylor]: Taking taylor expansion of (exp im) in im 0.467 * [taylor]: Taking taylor expansion of im in im 0.467 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.467 * [taylor]: Taking taylor expansion of (exp im) in im 0.467 * [taylor]: Taking taylor expansion of im in im 0.471 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.471 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.471 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.471 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.471 * [taylor]: Taking taylor expansion of im in im 0.471 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.471 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.471 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.471 * [taylor]: Taking taylor expansion of im in im 0.480 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in (im) around 0 0.480 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.480 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.480 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.480 * [taylor]: Taking taylor expansion of -1 in im 0.480 * [taylor]: Taking taylor expansion of im in im 0.480 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.480 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.480 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.480 * [taylor]: Taking taylor expansion of -1 in im 0.480 * [taylor]: Taking taylor expansion of im in im 0.489 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.489 * [approximate]: Taking taylor expansion of (pow (exp im) 2) in (im) around 0 0.489 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.489 * [taylor]: Taking taylor expansion of (exp im) in im 0.489 * [taylor]: Taking taylor expansion of im in im 0.489 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.489 * [taylor]: Taking taylor expansion of (exp im) in im 0.489 * [taylor]: Taking taylor expansion of im in im 0.492 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in (im) around 0 0.492 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.492 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.492 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.492 * [taylor]: Taking taylor expansion of im in im 0.492 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.492 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.492 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.492 * [taylor]: Taking taylor expansion of im in im 0.497 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in (im) around 0 0.497 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.497 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.497 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.497 * [taylor]: Taking taylor expansion of -1 in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.497 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.497 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.497 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.497 * [taylor]: Taking taylor expansion of -1 in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.502 * * * [progress]: simplifying candidates 0.502 * [simplify]: Simplifying using # : (- (pow (* (exp im) (exp im)) 3) (pow (* (exp (- im)) (exp im)) 3)) (+ (* (* (exp im) (exp im)) (* (exp im) (exp im))) (+ (* (* (exp (- im)) (exp im)) (* (exp (- im)) (exp im))) (* (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (- (* (exp (- im)) (exp im))) (- (* (* (exp im) (exp im)) (* (exp im) (exp im))) (* (* (exp (- im)) (exp im)) (* (exp (- im)) (exp im)))) (+ (* (exp im) (exp im)) (* (exp (- im)) (exp im))) (- (exp im) (exp (- im))) (- (exp im) (exp (- im))) (- (exp im) (exp (- im))) (- (exp im) (exp (- im))) (- (* (exp (- im)) (exp im))) (* (- im) 3) (* (log (exp (- im))) 3) (* im 3) (* (exp (- im)) (exp (- im))) (pow (exp (- im)) (/ 3 2)) (pow (exp (- im)) (/ 3 2)) (* im 3) (* (log (exp im)) 3) (* (exp im) (exp im)) (pow (exp im) (/ 3 2)) (pow (exp im) (/ 3 2)) (+ im im) (+ (* 4/3 (pow im 3)) (+ (* 2 (pow im 2)) (* 2 im))) (- (pow (exp im) 2) (* (exp im) (exp (- im)))) (- (pow (exp im) 2) (* (exp (* -1 im)) (exp im))) (- (+ (* 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 im) (+ (* 2 (pow im 2)) 1)) (pow (exp im) 2) (pow (exp im) 2) 0.506 * * [simplify]: iteration 0 : 165 enodes (cost 141 ) 0.509 * * [simplify]: iteration 1 : 585 enodes (cost 112 ) 0.523 * * [simplify]: iteration 2 : 2638 enodes (cost 91 ) 0.611 * * [simplify]: iteration 3 : 5001 enodes (cost 89 ) 0.612 * [simplify]: Simplified to: (- (pow (exp im) 6) 1) (+ (pow (exp im) 2) (+ 1 (pow (exp im) 4))) (- 1) (- (pow (exp im) 4) 1) (+ (pow (exp im) 2) 1) (- (exp im) (exp (- im))) (- (exp im) (exp (- im))) (- (exp im) (exp (- im))) (- (exp im) (exp (- im))) (- 1) (* -3 im) (* -3 im) (* 3 im) (pow (exp im) -2) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) (* 3 im) (* 3 im) (pow (exp im) 2) (pow (exp im) 3/2) (pow (exp im) 3/2) (* im 2) (+ (* 2 (+ (pow im 2) im)) (* 4/3 (pow im 3))) (- (pow (exp im) 2) 1) (- (pow (exp im) 2) 1) (+ 1 (* im (+ (* im 9/2) -3))) (pow (exp im) -3) (pow (exp im) -3) (+ (* im (+ (* im 9/2) 3)) 1) (pow (exp im) 3) (pow (exp im) 3) (+ 1 (* 2 (+ (pow im 2) im))) (pow (exp im) 2) (pow (exp im) 2) 0.612 * * * [progress]: adding candidates to table 0.694 * * [progress]: iteration 3 / 4 0.695 * * * [progress]: picking best candidate 0.697 * * * * [pick]: Picked # 0.698 * * * [progress]: localizing error 0.715 * * * [progress]: generating rewritten candidates 0.715 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.718 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.720 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.722 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.727 * * * [progress]: generating series expansions 0.727 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.727 * [approximate]: Taking taylor expansion of (- (exp im) (exp (- im))) in (im) around 0 0.727 * [taylor]: Taking taylor expansion of (- (exp im) (exp (- im))) in im 0.727 * [taylor]: Taking taylor expansion of (exp im) in im 0.727 * [taylor]: Taking taylor expansion of im in im 0.727 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.727 * [taylor]: Taking taylor expansion of (- im) in im 0.727 * [taylor]: Taking taylor expansion of im in im 0.728 * [taylor]: Taking taylor expansion of (- (exp im) (exp (- im))) in im 0.728 * [taylor]: Taking taylor expansion of (exp im) in im 0.728 * [taylor]: Taking taylor expansion of im in im 0.728 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.728 * [taylor]: Taking taylor expansion of (- im) in im 0.728 * [taylor]: Taking taylor expansion of im in im 0.751 * [approximate]: Taking taylor expansion of (- (exp (/ 1 im)) (exp (- (/ 1 im)))) in (im) around 0 0.751 * [taylor]: Taking taylor expansion of (- (exp (/ 1 im)) (exp (- (/ 1 im)))) in im 0.751 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.751 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.751 * [taylor]: Taking taylor expansion of im in im 0.752 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.752 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.752 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.752 * [taylor]: Taking taylor expansion of im in im 0.752 * [taylor]: Taking taylor expansion of (- (exp (/ 1 im)) (exp (- (/ 1 im)))) in im 0.752 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.752 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.752 * [taylor]: Taking taylor expansion of im in im 0.753 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.753 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.753 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.753 * [taylor]: Taking taylor expansion of im in im 0.756 * [approximate]: Taking taylor expansion of (- (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.756 * [taylor]: Taking taylor expansion of (- (exp (/ -1 im)) (exp (/ 1 im))) in im 0.756 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.756 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.756 * [taylor]: Taking taylor expansion of -1 in im 0.756 * [taylor]: Taking taylor expansion of im in im 0.757 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.757 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.757 * [taylor]: Taking taylor expansion of im in im 0.757 * [taylor]: Taking taylor expansion of (- (exp (/ -1 im)) (exp (/ 1 im))) in im 0.757 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.757 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.757 * [taylor]: Taking taylor expansion of -1 in im 0.757 * [taylor]: Taking taylor expansion of im in im 0.757 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.757 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.757 * [taylor]: Taking taylor expansion of im in im 0.763 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.763 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 3) in (im) around 0 0.763 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.763 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.763 * [taylor]: Taking taylor expansion of (- im) in im 0.763 * [taylor]: Taking taylor expansion of im in im 0.764 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.764 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.764 * [taylor]: Taking taylor expansion of (- im) in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.769 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in (im) around 0 0.769 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.769 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.769 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.769 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.769 * [taylor]: Taking taylor expansion of im in im 0.770 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.770 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.770 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.770 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.770 * [taylor]: Taking taylor expansion of im in im 0.779 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.779 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.779 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.779 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.779 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.779 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.779 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.788 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.788 * [approximate]: Taking taylor expansion of (pow (exp im) 3) in (im) around 0 0.788 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.788 * [taylor]: Taking taylor expansion of (exp im) in im 0.788 * [taylor]: Taking taylor expansion of im in im 0.788 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.788 * [taylor]: Taking taylor expansion of (exp im) in im 0.788 * [taylor]: Taking taylor expansion of im in im 0.792 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.792 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.792 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.792 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.792 * [taylor]: Taking taylor expansion of im in im 0.792 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.792 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.792 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.792 * [taylor]: Taking taylor expansion of im in im 0.801 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in (im) around 0 0.801 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.801 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.801 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.801 * [taylor]: Taking taylor expansion of -1 in im 0.801 * [taylor]: Taking taylor expansion of im in im 0.801 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.801 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.801 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.801 * [taylor]: Taking taylor expansion of -1 in im 0.801 * [taylor]: Taking taylor expansion of im in im 0.810 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.810 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 2) in (im) around 0 0.810 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 0.810 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.810 * [taylor]: Taking taylor expansion of (- im) in im 0.810 * [taylor]: Taking taylor expansion of im in im 0.811 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 0.811 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.811 * [taylor]: Taking taylor expansion of (- im) in im 0.811 * [taylor]: Taking taylor expansion of im in im 0.815 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in (im) around 0 0.815 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in im 0.815 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.815 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.815 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.815 * [taylor]: Taking taylor expansion of im in im 0.815 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in im 0.815 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.815 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.815 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.815 * [taylor]: Taking taylor expansion of im in im 0.820 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in (im) around 0 0.820 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.820 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.821 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.821 * [taylor]: Taking taylor expansion of im in im 0.821 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.821 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.821 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.821 * [taylor]: Taking taylor expansion of im in im 0.826 * * * [progress]: simplifying candidates 0.826 * [simplify]: Simplifying using # : (- (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))) (* (- im) 3) (* (log (exp (- im))) 3) (* im 3) (* (exp (- im)) (exp (- im))) (pow (exp (- im)) (/ 3 2)) (pow (exp (- im)) (/ 3 2)) (* im 3) (* (log (exp im)) 3) (* (exp im) (exp im)) (pow (exp im) (/ 3 2)) (pow (exp im) (/ 3 2)) (+ im im) (* (exp -1) (exp -1)) (+ (- im) (- im)) (* 1 1) (* (exp im) (exp im)) (* 1 (exp 0)) (* (exp im) (exp im)) (* (exp 0) 1) (* (exp im) (exp im)) (* (exp 0) (exp 0)) (* (exp im) (exp im)) (* 2 im) (* (exp (- im)) 1) (* (exp (- im)) (exp 0)) (* 1 (exp (- im))) (* (exp 0) (exp (- im))) (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))) (- (exp im) (exp (- im))) (- (exp im) (exp (* -1 im))) (- (+ (* 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)) (pow (exp (- im)) 2) (pow (exp (* -1 im)) 2) 0.829 * * [simplify]: iteration 0 : 155 enodes (cost 122 ) 0.832 * * [simplify]: iteration 1 : 534 enodes (cost 115 ) 0.841 * * [simplify]: iteration 2 : 1933 enodes (cost 108 ) 0.885 * * [simplify]: iteration 3 : 5002 enodes (cost 106 ) 0.886 * [simplify]: Simplified to: (- (pow (exp im) 3) (pow (exp (- im)) 3)) (+ (+ 1 (exp (+ im im))) (pow (exp im) -2)) (- (exp (* -1 im))) (- (exp (+ im im)) (pow (exp (- im)) 2)) (+ (exp im) (exp (- im))) (- (exp (* -1 im))) (* -3 im) (* -3 im) (* 3 im) (pow (exp im) -2) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) (* 3 im) (* 3 im) (exp (+ im im)) (pow (exp im) 3/2) (pow (exp im) 3/2) (+ im im) (exp -2) (* im -2) 1 (exp (+ im im)) 1 (exp (+ im im)) 1 (exp (+ im im)) 1 (exp (+ im im)) (+ im im) (exp (- im)) (exp (- im)) (exp (- im)) (exp (- im)) (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))) (- (exp im) (exp (* -1 im))) (- (exp im) (exp (* -1 im))) (+ 1 (* im (+ (* im 9/2) -3))) (pow (exp im) -3) (pow (exp im) -3) (+ (* im (+ (* im 9/2) 3)) 1) (pow (exp im) 3) (pow (exp im) 3) (+ 1 (* (+ im im) (+ im -1))) (pow (exp im) -2) (pow (exp im) -2) 0.886 * * * [progress]: adding candidates to table 0.988 * [progress]: [Phase 3 of 3] Extracting. 0.988 * * [regime]: Finding splitpoints for: (# # #) 0.989 * * * [regime-changes]: Trying 6 branch expressions: ((+ (exp (- im)) (exp im)) (cos re) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) im re) 0.989 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# # #) 1.010 * * * * [regimes]: Trying to branch on (cos re) from (# # #) 1.028 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# # #) 1.049 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# # #) 1.074 * * * * [regimes]: Trying to branch on im from (# # #) 1.093 * * * * [regimes]: Trying to branch on re from (# # #) 1.109 * * * [regime]: Found split indices: #