16.976 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.093 * [simplify]: Simplifying: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.093 * [simplify]: Sending expressions to egg_math: (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2))) 0.095 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.096 * * [simplify]: iteration 1 : 58 enodes (cost 7 ) 0.098 * * [simplify]: iteration 2 : 95 enodes (cost 7 ) 0.100 * * [simplify]: iteration 3 : 209 enodes (cost 7 ) 0.103 * * [simplify]: iteration 4 : 459 enodes (cost 7 ) 0.107 * * [simplify]: iteration 5 : 629 enodes (cost 7 ) 0.115 * * [simplify]: iteration 6 : 1415 enodes (cost 7 ) 0.126 * * [simplify]: iteration 7 : 2148 enodes (cost 7 ) 0.164 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.165 * * [progress]: iteration 1 / 4 0.165 * * * [progress]: picking best candidate 0.167 * * * * [pick]: Picked # 0.167 * * * [progress]: localizing error 0.177 * * * [progress]: generating rewritten candidates 0.177 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.236 * * * [progress]: generating series expansions 0.236 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.236 * [backup-simplify]: Simplify (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) into (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 0.236 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.236 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.236 * [taylor]: Taking taylor expansion of 0.5 in im 0.236 * [backup-simplify]: Simplify 0.5 into 0.5 0.236 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.236 * [taylor]: Taking taylor expansion of (cos re) in im 0.236 * [taylor]: Taking taylor expansion of re in im 0.236 * [backup-simplify]: Simplify re into re 0.236 * [backup-simplify]: Simplify (cos re) into (cos re) 0.236 * [backup-simplify]: Simplify (sin re) into (sin re) 0.236 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.236 * [taylor]: Taking taylor expansion of (exp im) in im 0.236 * [taylor]: Taking taylor expansion of im in im 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (exp 0) into 1 0.236 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.236 * [taylor]: Taking taylor expansion of (- im) in im 0.236 * [taylor]: Taking taylor expansion of im in im 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify (- 1) into -1 0.237 * [backup-simplify]: Simplify (exp 0) into 1 0.237 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.237 * [taylor]: Taking taylor expansion of 0.5 in re 0.237 * [backup-simplify]: Simplify 0.5 into 0.5 0.237 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.237 * [taylor]: Taking taylor expansion of (cos re) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.237 * [taylor]: Taking taylor expansion of (exp im) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [backup-simplify]: Simplify im into im 0.237 * [backup-simplify]: Simplify (exp im) into (exp im) 0.237 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.237 * [taylor]: Taking taylor expansion of (- im) in re 0.238 * [taylor]: Taking taylor expansion of im in re 0.238 * [backup-simplify]: Simplify im into im 0.238 * [backup-simplify]: Simplify (- im) into (- im) 0.238 * [backup-simplify]: Simplify (- im) into (- im) 0.238 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 0.238 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.238 * [taylor]: Taking taylor expansion of 0.5 in re 0.238 * [backup-simplify]: Simplify 0.5 into 0.5 0.238 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.238 * [taylor]: Taking taylor expansion of (cos re) in re 0.238 * [taylor]: Taking taylor expansion of re in re 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.238 * [taylor]: Taking taylor expansion of (exp im) in re 0.238 * [taylor]: Taking taylor expansion of im in re 0.238 * [backup-simplify]: Simplify im into im 0.238 * [backup-simplify]: Simplify (exp im) into (exp im) 0.238 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.238 * [taylor]: Taking taylor expansion of (- im) in re 0.238 * [taylor]: Taking taylor expansion of im in re 0.238 * [backup-simplify]: Simplify im into im 0.238 * [backup-simplify]: Simplify (- im) into (- im) 0.238 * [backup-simplify]: Simplify (- im) into (- im) 0.238 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 0.238 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im))) 0.238 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im))) 0.238 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) 0.238 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.238 * [taylor]: Taking taylor expansion of 0.5 in im 0.238 * [backup-simplify]: Simplify 0.5 into 0.5 0.238 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.238 * [taylor]: Taking taylor expansion of (exp im) in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (exp 0) into 1 0.238 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.238 * [taylor]: Taking taylor expansion of (- im) in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (- 1) into -1 0.239 * [backup-simplify]: Simplify (exp 0) into 1 0.239 * [backup-simplify]: Simplify (+ 1 1) into 2 0.239 * [backup-simplify]: Simplify (* 0.5 2) into 1.0 0.240 * [backup-simplify]: Simplify 1.0 into 1.0 0.240 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 0.240 * [backup-simplify]: Simplify (- im) into (- im) 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 0.242 * [taylor]: Taking taylor expansion of 0 in im 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.243 * [backup-simplify]: Simplify (- 1) into -1 0.243 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.244 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.244 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.245 * [backup-simplify]: Simplify (- im) into (- im) 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp im) (exp (- im)))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im))))) 0.248 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im)))))) (+ (* 0 0) (* 0 (+ (exp im) (exp (- im)))))) into (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) 0.248 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.248 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.248 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.248 * [taylor]: Taking taylor expansion of 0.25 in im 0.248 * [backup-simplify]: Simplify 0.25 into 0.25 0.248 * [taylor]: Taking taylor expansion of (exp im) in im 0.248 * [taylor]: Taking taylor expansion of im in im 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (exp 0) into 1 0.248 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.248 * [taylor]: Taking taylor expansion of 0.25 in im 0.248 * [backup-simplify]: Simplify 0.25 into 0.25 0.248 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.248 * [taylor]: Taking taylor expansion of (- im) in im 0.248 * [taylor]: Taking taylor expansion of im in im 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (- 1) into -1 0.249 * [backup-simplify]: Simplify (exp 0) into 1 0.249 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.249 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.249 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5 0.250 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.250 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.251 * [backup-simplify]: Simplify (- 1) into -1 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.252 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.253 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5 0.253 * [backup-simplify]: Simplify 0.5 into 0.5 0.254 * [backup-simplify]: Simplify (+ (* 0.5 (pow (* im 1) 2)) (+ (* (- 0.5) (pow (* 1 re) 2)) 1.0)) into (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) 0.254 * [backup-simplify]: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.254 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.254 * [taylor]: Taking taylor expansion of 0.5 in im 0.254 * [backup-simplify]: Simplify 0.5 into 0.5 0.254 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.254 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.254 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.254 * [taylor]: Taking taylor expansion of re in im 0.254 * [backup-simplify]: Simplify re into re 0.254 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.254 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.254 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.255 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.255 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.255 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.255 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.255 * [taylor]: Taking taylor expansion of im in im 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (- 1) into -1 0.255 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.255 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.255 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.255 * [taylor]: Taking taylor expansion of im in im 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.256 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.256 * [taylor]: Taking taylor expansion of 0.5 in re 0.256 * [backup-simplify]: Simplify 0.5 into 0.5 0.256 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.256 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.256 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.256 * [taylor]: Taking taylor expansion of re in re 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.256 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.256 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.256 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.256 * [taylor]: Taking taylor expansion of im in re 0.256 * [backup-simplify]: Simplify im into im 0.256 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.256 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.256 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.256 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.256 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.256 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.256 * [taylor]: Taking taylor expansion of im in re 0.256 * [backup-simplify]: Simplify im into im 0.256 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.256 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.256 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.257 * [taylor]: Taking taylor expansion of 0.5 in re 0.257 * [backup-simplify]: Simplify 0.5 into 0.5 0.257 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.257 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.257 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.257 * [taylor]: Taking taylor expansion of re in re 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.257 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.257 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.257 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.257 * [taylor]: Taking taylor expansion of im in re 0.257 * [backup-simplify]: Simplify im into im 0.257 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.257 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.257 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.257 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.257 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.257 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.257 * [taylor]: Taking taylor expansion of im in re 0.257 * [backup-simplify]: Simplify im into im 0.257 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.257 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.257 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.258 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) 0.258 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.258 * [taylor]: Taking taylor expansion of 0.5 in im 0.258 * [backup-simplify]: Simplify 0.5 into 0.5 0.258 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.258 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.258 * [taylor]: Taking taylor expansion of re in im 0.258 * [backup-simplify]: Simplify re into re 0.258 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.258 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.258 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.258 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.258 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (- 1) into -1 0.259 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.259 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.259 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.259 * [taylor]: Taking taylor expansion of im in im 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.259 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 0.259 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 0.259 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.260 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) 0.260 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.260 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.260 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.261 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.262 * [taylor]: Taking taylor expansion of 0 in im 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0) into 0 0.263 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.264 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.267 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.268 * [taylor]: Taking taylor expansion of 0 in im 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.269 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.275 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 0.277 * [taylor]: Taking taylor expansion of 0 in im 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 (/ 1 re))) (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im)))))) into (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 0.277 * [backup-simplify]: Simplify (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 0.277 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.277 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.277 * [taylor]: Taking taylor expansion of 0.5 in im 0.277 * [backup-simplify]: Simplify 0.5 into 0.5 0.277 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.277 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.277 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.277 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.277 * [taylor]: Taking taylor expansion of -1 in im 0.277 * [backup-simplify]: Simplify -1 into -1 0.277 * [taylor]: Taking taylor expansion of im in im 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (/ -1 1) into -1 0.278 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.278 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.278 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.278 * [taylor]: Taking taylor expansion of im in im 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.278 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.278 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.278 * [taylor]: Taking taylor expansion of -1 in im 0.278 * [backup-simplify]: Simplify -1 into -1 0.278 * [taylor]: Taking taylor expansion of re in im 0.278 * [backup-simplify]: Simplify re into re 0.278 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.278 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.278 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.278 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.278 * [taylor]: Taking taylor expansion of 0.5 in re 0.278 * [backup-simplify]: Simplify 0.5 into 0.5 0.278 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.278 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.278 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.278 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.278 * [taylor]: Taking taylor expansion of -1 in re 0.278 * [backup-simplify]: Simplify -1 into -1 0.278 * [taylor]: Taking taylor expansion of im in re 0.278 * [backup-simplify]: Simplify im into im 0.278 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.278 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.278 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.278 * [taylor]: Taking taylor expansion of im in re 0.278 * [backup-simplify]: Simplify im into im 0.278 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.279 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.279 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.279 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.279 * [taylor]: Taking taylor expansion of -1 in re 0.279 * [backup-simplify]: Simplify -1 into -1 0.279 * [taylor]: Taking taylor expansion of re in re 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ -1 1) into -1 0.279 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.279 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.279 * [taylor]: Taking taylor expansion of 0.5 in re 0.279 * [backup-simplify]: Simplify 0.5 into 0.5 0.279 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.279 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.279 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.279 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.279 * [taylor]: Taking taylor expansion of -1 in re 0.279 * [backup-simplify]: Simplify -1 into -1 0.279 * [taylor]: Taking taylor expansion of im in re 0.279 * [backup-simplify]: Simplify im into im 0.279 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.279 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.279 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.279 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.279 * [taylor]: Taking taylor expansion of im in re 0.279 * [backup-simplify]: Simplify im into im 0.279 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.279 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.279 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.279 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.279 * [taylor]: Taking taylor expansion of -1 in re 0.279 * [backup-simplify]: Simplify -1 into -1 0.279 * [taylor]: Taking taylor expansion of re in re 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ -1 1) into -1 0.280 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.280 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.280 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) 0.280 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.280 * [taylor]: Taking taylor expansion of 0.5 in im 0.280 * [backup-simplify]: Simplify 0.5 into 0.5 0.280 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.280 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.280 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.280 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.280 * [taylor]: Taking taylor expansion of -1 in im 0.280 * [backup-simplify]: Simplify -1 into -1 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ -1 1) into -1 0.281 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.281 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.281 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.281 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.281 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.281 * [taylor]: Taking taylor expansion of -1 in im 0.281 * [backup-simplify]: Simplify -1 into -1 0.281 * [taylor]: Taking taylor expansion of re in im 0.281 * [backup-simplify]: Simplify re into re 0.281 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.281 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.281 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.281 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.281 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 0.281 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 0.282 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) 0.282 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 0.282 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 0.282 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.283 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.283 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0 0.284 * [taylor]: Taking taylor expansion of 0 in im 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ 0) into 0 0.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.286 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.288 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.289 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0 0.290 * [taylor]: Taking taylor expansion of 0 in im 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.292 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.294 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.295 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0 0.297 * [taylor]: Taking taylor expansion of 0 in im 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) (cos (/ -1 (/ 1 (- re)))))) into (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.297 * * * [progress]: simplifying candidates 0.298 * [simplify]: Simplifying: (* (* 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)))) (- (+ (* 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))) 0.298 * [simplify]: Sending expressions to egg_math: (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2))) (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2))) (+ (+ (log h0) (log (cos h1))) (log (+ (exp (- h2)) (exp h2)))) (+ (log (* h0 (cos h1))) (log (+ (exp (- h2)) (exp h2)))) (log (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2)))) (exp (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2)))) (* (* (* (* h0 h0) h0) (* (* (cos h1) (cos h1)) (cos h1))) (* (* (+ (exp (- h2)) (exp h2)) (+ (exp (- h2)) (exp h2))) (+ (exp (- h2)) (exp h2)))) (* (* (* (* h0 (cos h1)) (* h0 (cos h1))) (* h0 (cos h1))) (* (* (+ (exp (- h2)) (exp h2)) (+ (exp (- h2)) (exp h2))) (+ (exp (- h2)) (exp h2)))) (* (cbrt (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2)))) (cbrt (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2))))) (cbrt (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2)))) (* (* (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2))) (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2)))) (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2)))) (sqrt (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2)))) (sqrt (* (* h0 (cos h1)) (+ (exp (- h2)) (exp h2)))) (* (* h0 (cos h1)) (exp (- h2))) (* (* h0 (cos h1)) (exp h2)) (* (exp (- h2)) (* h0 (cos h1))) (* (exp h2) (* h0 (cos h1))) (* (* h0 (cos h1)) (* (cbrt (+ (exp (- h2)) (exp h2))) (cbrt (+ (exp (- h2)) (exp h2))))) (* (* h0 (cos h1)) (sqrt (+ (exp (- h2)) (exp h2)))) (* (* h0 (cos h1)) 1) (* (* h0 (cos h1)) 1) (* (cos h1) (+ (exp (- h2)) (exp h2))) (* (* h0 (cos h1)) (+ (pow (exp (- h2)) 3) (pow (exp h2) 3))) (* (* h0 (cos h1)) (- (* (exp (- h2)) (exp (- h2))) (* (exp h2) (exp h2)))) (- (+ (* h0 (pow h2 2)) h3) (* h0 (pow h1 2))) (* h0 (* (cos h1) (+ (exp h2) (exp (- h2))))) (* h0 (* (+ (exp (* -1 h2)) (exp h2)) (cos h1))) 0.301 * * [simplify]: iteration 0 : 215 enodes (cost 246 ) 0.306 * * [simplify]: iteration 1 : 1120 enodes (cost 199 ) 0.331 * * [simplify]: iteration 2 : 5002 enodes (cost 198 ) 0.332 * * * [progress]: adding candidates to table 0.378 * * [progress]: iteration 2 / 4 0.378 * * * [progress]: picking best candidate 0.380 * * * * [pick]: Picked # 0.380 * * * [progress]: localizing error 0.395 * * * [progress]: generating rewritten candidates 0.395 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.546 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.605 * * * [progress]: generating series expansions 0.605 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.606 * [backup-simplify]: Simplify (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))) into (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 0.606 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.606 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.606 * [taylor]: Taking taylor expansion of 0.5 in im 0.606 * [backup-simplify]: Simplify 0.5 into 0.5 0.606 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.606 * [taylor]: Taking taylor expansion of (cos re) in im 0.606 * [taylor]: Taking taylor expansion of re in im 0.606 * [backup-simplify]: Simplify re into re 0.606 * [backup-simplify]: Simplify (cos re) into (cos re) 0.606 * [backup-simplify]: Simplify (sin re) into (sin re) 0.606 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.606 * [taylor]: Taking taylor expansion of (exp im) in im 0.606 * [taylor]: Taking taylor expansion of im in im 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (exp 0) into 1 0.606 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.606 * [taylor]: Taking taylor expansion of (- im) in im 0.606 * [taylor]: Taking taylor expansion of im in im 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (- 0) into 0 0.607 * [backup-simplify]: Simplify (- 1) into -1 0.607 * [backup-simplify]: Simplify (exp 0) into 1 0.607 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.607 * [taylor]: Taking taylor expansion of 0.5 in re 0.607 * [backup-simplify]: Simplify 0.5 into 0.5 0.607 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.607 * [taylor]: Taking taylor expansion of (cos re) in re 0.607 * [taylor]: Taking taylor expansion of re in re 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.607 * [taylor]: Taking taylor expansion of (exp im) in re 0.607 * [taylor]: Taking taylor expansion of im in re 0.607 * [backup-simplify]: Simplify im into im 0.607 * [backup-simplify]: Simplify (exp im) into (exp im) 0.607 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.607 * [taylor]: Taking taylor expansion of (- im) in re 0.607 * [taylor]: Taking taylor expansion of im in re 0.607 * [backup-simplify]: Simplify im into im 0.607 * [backup-simplify]: Simplify (- im) into (- im) 0.607 * [backup-simplify]: Simplify (- im) into (- im) 0.607 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 0.607 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.607 * [taylor]: Taking taylor expansion of 0.5 in re 0.607 * [backup-simplify]: Simplify 0.5 into 0.5 0.607 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.607 * [taylor]: Taking taylor expansion of (cos re) in re 0.607 * [taylor]: Taking taylor expansion of re in re 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.607 * [taylor]: Taking taylor expansion of (exp im) in re 0.607 * [taylor]: Taking taylor expansion of im in re 0.607 * [backup-simplify]: Simplify im into im 0.607 * [backup-simplify]: Simplify (exp im) into (exp im) 0.607 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.608 * [taylor]: Taking taylor expansion of (- im) in re 0.608 * [taylor]: Taking taylor expansion of im in re 0.608 * [backup-simplify]: Simplify im into im 0.608 * [backup-simplify]: Simplify (- im) into (- im) 0.608 * [backup-simplify]: Simplify (- im) into (- im) 0.608 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 0.608 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im))) 0.608 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im))) 0.608 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im)))) 0.608 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.608 * [taylor]: Taking taylor expansion of 0.5 in im 0.608 * [backup-simplify]: Simplify 0.5 into 0.5 0.608 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.608 * [taylor]: Taking taylor expansion of (exp im) in im 0.608 * [taylor]: Taking taylor expansion of im in im 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (exp 0) into 1 0.608 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.608 * [taylor]: Taking taylor expansion of (- im) in im 0.608 * [taylor]: Taking taylor expansion of im in im 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (- 0) into 0 0.609 * [backup-simplify]: Simplify (- 1) into -1 0.609 * [backup-simplify]: Simplify (exp 0) into 1 0.609 * [backup-simplify]: Simplify (+ 1 1) into 2 0.609 * [backup-simplify]: Simplify (* 0.5 2) into 1.0 0.609 * [backup-simplify]: Simplify 1.0 into 1.0 0.610 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 0.610 * [backup-simplify]: Simplify (- im) into (- im) 0.610 * [backup-simplify]: Simplify (- 0) into 0 0.611 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (+ 0) into 0 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0 0.612 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0 0.612 * [taylor]: Taking taylor expansion of 0 in im 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.613 * [backup-simplify]: Simplify (- 1) into -1 0.613 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.613 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.614 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.615 * [backup-simplify]: Simplify (- im) into (- im) 0.615 * [backup-simplify]: Simplify (- 0) into 0 0.615 * [backup-simplify]: Simplify (- 0) into 0 0.616 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp im) (exp (- im)))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im))))) 0.618 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im)))))) (+ (* 0 0) (* 0 (+ (exp im) (exp (- im)))))) into (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) 0.618 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.618 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.618 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.618 * [taylor]: Taking taylor expansion of 0.25 in im 0.618 * [backup-simplify]: Simplify 0.25 into 0.25 0.618 * [taylor]: Taking taylor expansion of (exp im) in im 0.618 * [taylor]: Taking taylor expansion of im in im 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (exp 0) into 1 0.618 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.618 * [taylor]: Taking taylor expansion of 0.25 in im 0.618 * [backup-simplify]: Simplify 0.25 into 0.25 0.618 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.618 * [taylor]: Taking taylor expansion of (- im) in im 0.618 * [taylor]: Taking taylor expansion of im in im 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (- 0) into 0 0.618 * [backup-simplify]: Simplify (- 1) into -1 0.618 * [backup-simplify]: Simplify (exp 0) into 1 0.619 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.619 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.619 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5 0.619 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.620 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.621 * [backup-simplify]: Simplify (- 1) into -1 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.622 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.622 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.623 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5 0.623 * [backup-simplify]: Simplify 0.5 into 0.5 0.624 * [backup-simplify]: Simplify (+ (* 0.5 (pow (* im 1) 2)) (+ (* (- 0.5) (pow (* 1 re) 2)) 1.0)) into (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) 0.624 * [backup-simplify]: Simplify (* (* (* 0.5 (cos (/ 1 re))) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.624 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.624 * [taylor]: Taking taylor expansion of 0.5 in im 0.624 * [backup-simplify]: Simplify 0.5 into 0.5 0.624 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.624 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.624 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.624 * [taylor]: Taking taylor expansion of re in im 0.624 * [backup-simplify]: Simplify re into re 0.624 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.624 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.624 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.624 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.624 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.624 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.624 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.624 * [taylor]: Taking taylor expansion of im in im 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [backup-simplify]: Simplify (- 1) into -1 0.625 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.625 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.625 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.625 * [taylor]: Taking taylor expansion of im in im 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.625 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.625 * [taylor]: Taking taylor expansion of 0.5 in re 0.625 * [backup-simplify]: Simplify 0.5 into 0.5 0.625 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.625 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.625 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.625 * [taylor]: Taking taylor expansion of re in re 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (/ 1 1) into 1 0.626 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.626 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.626 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.626 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.626 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.626 * [taylor]: Taking taylor expansion of im in re 0.626 * [backup-simplify]: Simplify im into im 0.626 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.626 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.626 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.626 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.626 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.626 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.626 * [taylor]: Taking taylor expansion of im in re 0.626 * [backup-simplify]: Simplify im into im 0.626 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.626 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.626 * [taylor]: Taking taylor expansion of 0.5 in re 0.626 * [backup-simplify]: Simplify 0.5 into 0.5 0.626 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.626 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.626 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.626 * [taylor]: Taking taylor expansion of re in re 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (/ 1 1) into 1 0.627 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.627 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.627 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.627 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.627 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.627 * [taylor]: Taking taylor expansion of im in re 0.627 * [backup-simplify]: Simplify im into im 0.627 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.627 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.627 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.627 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.627 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.627 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.627 * [taylor]: Taking taylor expansion of im in re 0.627 * [backup-simplify]: Simplify im into im 0.627 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.627 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.627 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.627 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) 0.627 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.627 * [taylor]: Taking taylor expansion of 0.5 in im 0.627 * [backup-simplify]: Simplify 0.5 into 0.5 0.628 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.628 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.628 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.628 * [taylor]: Taking taylor expansion of re in im 0.628 * [backup-simplify]: Simplify re into re 0.628 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.628 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.628 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.628 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.628 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.628 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.628 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.628 * [taylor]: Taking taylor expansion of im in im 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (/ 1 1) into 1 0.628 * [backup-simplify]: Simplify (- 1) into -1 0.628 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.628 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.628 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.628 * [taylor]: Taking taylor expansion of im in im 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (/ 1 1) into 1 0.629 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.629 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 0.629 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 0.629 * [backup-simplify]: Simplify (- 0) into 0 0.629 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 0.629 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.629 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) 0.630 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.630 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.630 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.630 * [backup-simplify]: Simplify (- 0) into 0 0.631 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.631 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.632 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.632 * [taylor]: Taking taylor expansion of 0 in im 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.633 * [backup-simplify]: Simplify (+ 0) into 0 0.633 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 0.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.634 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 0.634 * [backup-simplify]: Simplify (- 0) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0 0.635 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.635 * [backup-simplify]: Simplify (- 0) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.635 * [backup-simplify]: Simplify (- 0) into 0 0.636 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.637 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.638 * [taylor]: Taking taylor expansion of 0 in im 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.639 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.640 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.640 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.640 * [backup-simplify]: Simplify (- 0) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.645 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.645 * [backup-simplify]: Simplify (- 0) into 0 0.645 * [backup-simplify]: Simplify (- 0) into 0 0.646 * [backup-simplify]: Simplify (- 0) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.646 * [backup-simplify]: Simplify (- 0) into 0 0.647 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.648 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.648 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.650 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 0.650 * [taylor]: Taking taylor expansion of 0 in im 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 (/ 1 re))) (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im)))))) into (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) 0.650 * [backup-simplify]: Simplify (* (* (* 0.5 (cos (/ 1 (- re)))) (sqrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) (sqrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 0.650 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.650 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.650 * [taylor]: Taking taylor expansion of 0.5 in im 0.651 * [backup-simplify]: Simplify 0.5 into 0.5 0.651 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.651 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.651 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.651 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.651 * [taylor]: Taking taylor expansion of -1 in im 0.651 * [backup-simplify]: Simplify -1 into -1 0.651 * [taylor]: Taking taylor expansion of im in im 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (/ -1 1) into -1 0.651 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.651 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.651 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.651 * [taylor]: Taking taylor expansion of im in im 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.651 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.651 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.651 * [taylor]: Taking taylor expansion of -1 in im 0.651 * [backup-simplify]: Simplify -1 into -1 0.651 * [taylor]: Taking taylor expansion of re in im 0.651 * [backup-simplify]: Simplify re into re 0.652 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.652 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.652 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.652 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.652 * [taylor]: Taking taylor expansion of 0.5 in re 0.652 * [backup-simplify]: Simplify 0.5 into 0.5 0.652 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.652 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.652 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.652 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.652 * [taylor]: Taking taylor expansion of -1 in re 0.652 * [backup-simplify]: Simplify -1 into -1 0.652 * [taylor]: Taking taylor expansion of im in re 0.652 * [backup-simplify]: Simplify im into im 0.652 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.652 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.652 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.652 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.652 * [taylor]: Taking taylor expansion of im in re 0.652 * [backup-simplify]: Simplify im into im 0.652 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.652 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.652 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.652 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.652 * [taylor]: Taking taylor expansion of -1 in re 0.652 * [backup-simplify]: Simplify -1 into -1 0.652 * [taylor]: Taking taylor expansion of re in re 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (/ -1 1) into -1 0.652 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.652 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.652 * [taylor]: Taking taylor expansion of 0.5 in re 0.652 * [backup-simplify]: Simplify 0.5 into 0.5 0.652 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.653 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.653 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.653 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.653 * [taylor]: Taking taylor expansion of -1 in re 0.653 * [backup-simplify]: Simplify -1 into -1 0.653 * [taylor]: Taking taylor expansion of im in re 0.653 * [backup-simplify]: Simplify im into im 0.653 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.653 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.653 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.653 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.653 * [taylor]: Taking taylor expansion of im in re 0.653 * [backup-simplify]: Simplify im into im 0.653 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.653 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.653 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.653 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.653 * [taylor]: Taking taylor expansion of -1 in re 0.653 * [backup-simplify]: Simplify -1 into -1 0.653 * [taylor]: Taking taylor expansion of re in re 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (/ -1 1) into -1 0.653 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.653 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.654 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) 0.654 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 0.654 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.654 * [taylor]: Taking taylor expansion of 0.5 in im 0.654 * [backup-simplify]: Simplify 0.5 into 0.5 0.654 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.654 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.654 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.654 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.654 * [taylor]: Taking taylor expansion of -1 in im 0.654 * [backup-simplify]: Simplify -1 into -1 0.654 * [taylor]: Taking taylor expansion of im in im 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ -1 1) into -1 0.654 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.654 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.654 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.654 * [taylor]: Taking taylor expansion of im in im 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.655 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.655 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.655 * [taylor]: Taking taylor expansion of -1 in im 0.655 * [backup-simplify]: Simplify -1 into -1 0.655 * [taylor]: Taking taylor expansion of re in im 0.655 * [backup-simplify]: Simplify re into re 0.655 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.655 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.655 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.655 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.655 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 0.655 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 0.655 * [backup-simplify]: Simplify (- 0) into 0 0.655 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 0.655 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) 0.655 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 0.656 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 0.656 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.656 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.657 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0 0.658 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0 0.658 * [taylor]: Taking taylor expansion of 0 in im 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify (+ 0) into 0 0.658 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 0.658 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.659 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 0.659 * [backup-simplify]: Simplify (- 0) into 0 0.659 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0 0.660 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.661 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.662 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 0.663 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0 0.663 * [taylor]: Taking taylor expansion of 0 in im 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.664 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.665 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.665 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.665 * [backup-simplify]: Simplify (- 0) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.666 * [backup-simplify]: Simplify (+ 0 0) into 0 0.666 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.668 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.669 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 0.670 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0 0.670 * [taylor]: Taking taylor expansion of 0 in im 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) (cos (/ -1 (/ 1 (- re)))))) into (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.671 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.671 * [backup-simplify]: Simplify (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) into (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) 0.671 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in (re im) around 0 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in im 0.671 * [taylor]: Taking taylor expansion of 0.5 in im 0.671 * [backup-simplify]: Simplify 0.5 into 0.5 0.671 * [taylor]: Taking taylor expansion of (* (cos re) (sqrt (+ (exp im) (exp (- im))))) in im 0.671 * [taylor]: Taking taylor expansion of (cos re) in im 0.671 * [taylor]: Taking taylor expansion of re in im 0.671 * [backup-simplify]: Simplify re into re 0.671 * [backup-simplify]: Simplify (cos re) into (cos re) 0.671 * [backup-simplify]: Simplify (sin re) into (sin re) 0.671 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 0.671 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.671 * [taylor]: Taking taylor expansion of (exp im) in im 0.671 * [taylor]: Taking taylor expansion of im in im 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [backup-simplify]: Simplify (exp 0) into 1 0.671 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.671 * [taylor]: Taking taylor expansion of (- im) in im 0.671 * [taylor]: Taking taylor expansion of im in im 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [backup-simplify]: Simplify (- 0) into 0 0.672 * [backup-simplify]: Simplify (- 1) into -1 0.672 * [backup-simplify]: Simplify (exp 0) into 1 0.672 * [backup-simplify]: Simplify (+ 1 1) into 2 0.672 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.673 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.673 * [backup-simplify]: Simplify (- 1) into -1 0.673 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.674 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.674 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in re 0.674 * [taylor]: Taking taylor expansion of 0.5 in re 0.674 * [backup-simplify]: Simplify 0.5 into 0.5 0.674 * [taylor]: Taking taylor expansion of (* (cos re) (sqrt (+ (exp im) (exp (- im))))) in re 0.674 * [taylor]: Taking taylor expansion of (cos re) in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in re 0.674 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.674 * [taylor]: Taking taylor expansion of (exp im) in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.674 * [backup-simplify]: Simplify im into im 0.674 * [backup-simplify]: Simplify (exp im) into (exp im) 0.674 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.674 * [taylor]: Taking taylor expansion of (- im) in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.674 * [backup-simplify]: Simplify im into im 0.674 * [backup-simplify]: Simplify (- im) into (- im) 0.674 * [backup-simplify]: Simplify (- im) into (- im) 0.674 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 0.674 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im))) 0.675 * [backup-simplify]: Simplify (sqrt (+ (exp im) (exp (- im)))) into (sqrt (+ (exp im) (exp (- im)))) 0.675 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 0.675 * [backup-simplify]: Simplify (- im) into (- im) 0.675 * [backup-simplify]: Simplify (- 0) into 0 0.676 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp im) (exp (- im)))))) into 0 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in re 0.676 * [taylor]: Taking taylor expansion of 0.5 in re 0.676 * [backup-simplify]: Simplify 0.5 into 0.5 0.676 * [taylor]: Taking taylor expansion of (* (cos re) (sqrt (+ (exp im) (exp (- im))))) in re 0.676 * [taylor]: Taking taylor expansion of (cos re) in re 0.676 * [taylor]: Taking taylor expansion of re in re 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in re 0.676 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.676 * [taylor]: Taking taylor expansion of (exp im) in re 0.676 * [taylor]: Taking taylor expansion of im in re 0.676 * [backup-simplify]: Simplify im into im 0.676 * [backup-simplify]: Simplify (exp im) into (exp im) 0.676 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.676 * [taylor]: Taking taylor expansion of (- im) in re 0.676 * [taylor]: Taking taylor expansion of im in re 0.676 * [backup-simplify]: Simplify im into im 0.676 * [backup-simplify]: Simplify (- im) into (- im) 0.676 * [backup-simplify]: Simplify (- im) into (- im) 0.676 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 0.677 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im))) 0.677 * [backup-simplify]: Simplify (sqrt (+ (exp im) (exp (- im)))) into (sqrt (+ (exp im) (exp (- im)))) 0.677 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 0.677 * [backup-simplify]: Simplify (- im) into (- im) 0.677 * [backup-simplify]: Simplify (- 0) into 0 0.678 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.678 * [backup-simplify]: Simplify (+ 0 0) into 0 0.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp im) (exp (- im)))))) into 0 0.678 * [backup-simplify]: Simplify (* 1 (sqrt (+ (exp im) (exp (- im))))) into (sqrt (+ (exp im) (exp (- im)))) 0.678 * [backup-simplify]: Simplify (* 0.5 (sqrt (+ (exp im) (exp (- im))))) into (* 0.5 (sqrt (+ (exp im) (exp (- im))))) 0.678 * [taylor]: Taking taylor expansion of (* 0.5 (sqrt (+ (exp im) (exp (- im))))) in im 0.678 * [taylor]: Taking taylor expansion of 0.5 in im 0.678 * [backup-simplify]: Simplify 0.5 into 0.5 0.678 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 0.678 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.678 * [taylor]: Taking taylor expansion of (exp im) in im 0.678 * [taylor]: Taking taylor expansion of im in im 0.678 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (exp 0) into 1 0.679 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.679 * [taylor]: Taking taylor expansion of (- im) in im 0.679 * [taylor]: Taking taylor expansion of im in im 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (- 0) into 0 0.679 * [backup-simplify]: Simplify (- 1) into -1 0.679 * [backup-simplify]: Simplify (exp 0) into 1 0.679 * [backup-simplify]: Simplify (+ 1 1) into 2 0.679 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.680 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.680 * [backup-simplify]: Simplify (- 1) into -1 0.681 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.681 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.682 * [backup-simplify]: Simplify (* 0.5 (sqrt 2)) into (* 0.5 (sqrt 2)) 0.683 * [backup-simplify]: Simplify (* 0.5 (sqrt 2)) into (* 0.5 (sqrt 2)) 0.683 * [backup-simplify]: Simplify (+ 0) into 0 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt (+ (exp im) (exp (- im)))))) into 0 0.683 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (sqrt (+ (exp im) (exp (- im)))))) into 0 0.683 * [taylor]: Taking taylor expansion of 0 in im 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (sqrt 2))) into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.685 * [backup-simplify]: Simplify (- im) into (- im) 0.685 * [backup-simplify]: Simplify (- 0) into 0 0.685 * [backup-simplify]: Simplify (- 0) into 0 0.686 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.686 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp im) (exp (- im)))))) into 0 0.687 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (sqrt (+ (exp im) (exp (- im))))))) into (- (* 1/2 (sqrt (+ (exp im) (exp (- im)))))) 0.688 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1/2 (sqrt (+ (exp im) (exp (- im))))))) (+ (* 0 0) (* 0 (sqrt (+ (exp im) (exp (- im))))))) into (- (* 0.25 (sqrt (+ (exp im) (exp (- im)))))) 0.688 * [taylor]: Taking taylor expansion of (- (* 0.25 (sqrt (+ (exp im) (exp (- im)))))) in im 0.688 * [taylor]: Taking taylor expansion of (* 0.25 (sqrt (+ (exp im) (exp (- im))))) in im 0.688 * [taylor]: Taking taylor expansion of 0.25 in im 0.688 * [backup-simplify]: Simplify 0.25 into 0.25 0.688 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im 0.688 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.688 * [taylor]: Taking taylor expansion of (exp im) in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (exp 0) into 1 0.688 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.688 * [taylor]: Taking taylor expansion of (- im) in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.689 * [backup-simplify]: Simplify (- 0) into 0 0.689 * [backup-simplify]: Simplify (- 1) into -1 0.689 * [backup-simplify]: Simplify (exp 0) into 1 0.689 * [backup-simplify]: Simplify (+ 1 1) into 2 0.689 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.690 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.690 * [backup-simplify]: Simplify (- 1) into -1 0.691 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.691 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.692 * [backup-simplify]: Simplify (* 0.25 (sqrt 2)) into (* 0.25 (sqrt 2)) 0.693 * [backup-simplify]: Simplify (- (* 0.25 (sqrt 2))) into (- (* 0.25 (sqrt 2))) 0.693 * [backup-simplify]: Simplify (- (* 0.25 (sqrt 2))) into (- (* 0.25 (sqrt 2))) 0.693 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.695 * [backup-simplify]: Simplify (- 1) into -1 0.695 * [backup-simplify]: Simplify (- 0) into 0 0.696 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.696 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.697 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 0.699 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1/2 (sqrt 2))) (+ (* 0 0) (* 0 (sqrt 2)))) into (* 0.25 (/ 1 (sqrt 2))) 0.700 * [backup-simplify]: Simplify (* 0.25 (/ 1 (sqrt 2))) into (/ 0.25 (sqrt 2)) 0.703 * [backup-simplify]: Simplify (+ (* (/ 0.25 (sqrt 2)) (pow (* im 1) 2)) (+ (* (- (* 0.25 (sqrt 2))) (pow (* 1 re) 2)) (* 0.5 (sqrt 2)))) into (- (+ (* 0.5 (sqrt 2)) (* 0.25 (/ (pow im 2) (sqrt 2)))) (* 0.25 (* (pow re 2) (sqrt 2)))) 0.703 * [backup-simplify]: Simplify (* (* 0.5 (cos (/ 1 re))) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) 0.703 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0 0.703 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 0.703 * [taylor]: Taking taylor expansion of 0.5 in im 0.703 * [backup-simplify]: Simplify 0.5 into 0.5 0.703 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.703 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.703 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.703 * [taylor]: Taking taylor expansion of re in im 0.703 * [backup-simplify]: Simplify re into re 0.703 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.703 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.703 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.703 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.703 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.703 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.703 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.703 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.703 * [taylor]: Taking taylor expansion of im in im 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [backup-simplify]: Simplify (- 1) into -1 0.704 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.704 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.704 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.704 * [taylor]: Taking taylor expansion of im in im 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.705 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.705 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.705 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 0.705 * [taylor]: Taking taylor expansion of 0.5 in re 0.705 * [backup-simplify]: Simplify 0.5 into 0.5 0.705 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.705 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ 1 1) into 1 0.705 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.705 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.705 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.706 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.706 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.706 * [taylor]: Taking taylor expansion of im in re 0.706 * [backup-simplify]: Simplify im into im 0.706 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.706 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.706 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.706 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.706 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.706 * [taylor]: Taking taylor expansion of im in re 0.706 * [backup-simplify]: Simplify im into im 0.706 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.706 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.706 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.706 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) 0.706 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.706 * [backup-simplify]: Simplify (- 0) into 0 0.707 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.708 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.708 * [backup-simplify]: Simplify (+ 0 0) into 0 0.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.708 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re 0.708 * [taylor]: Taking taylor expansion of 0.5 in re 0.708 * [backup-simplify]: Simplify 0.5 into 0.5 0.708 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.708 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ 1 1) into 1 0.708 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.708 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.708 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.708 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.708 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.708 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.709 * [taylor]: Taking taylor expansion of im in re 0.709 * [backup-simplify]: Simplify im into im 0.709 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.709 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.709 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.709 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.709 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.709 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.709 * [taylor]: Taking taylor expansion of im in re 0.709 * [backup-simplify]: Simplify im into im 0.709 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.709 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.709 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.709 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) 0.709 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.710 * [backup-simplify]: Simplify (- 0) into 0 0.710 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.711 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.711 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.711 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) 0.711 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im 0.711 * [taylor]: Taking taylor expansion of 0.5 in im 0.711 * [backup-simplify]: Simplify 0.5 into 0.5 0.711 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.711 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.711 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.711 * [taylor]: Taking taylor expansion of re in im 0.711 * [backup-simplify]: Simplify re into re 0.711 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.712 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 0.712 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 0.712 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.712 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.712 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.712 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.712 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.712 * [taylor]: Taking taylor expansion of im in im 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.712 * [backup-simplify]: Simplify (- 1) into -1 0.712 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 0.712 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.712 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.712 * [taylor]: Taking taylor expansion of im in im 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (/ 1 1) into 1 0.713 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.713 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0.713 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) 0.713 * [backup-simplify]: Simplify (+ 0 0) into 0 0.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.713 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 0.713 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.714 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 0.714 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) 0.714 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) 0.714 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) 0.714 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.715 * [taylor]: Taking taylor expansion of 0 in im 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (+ 0) into 0 0.715 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 0.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.716 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 0.716 * [backup-simplify]: Simplify (- 0) into 0 0.717 * [backup-simplify]: Simplify (+ 0 0) into 0 0.717 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.717 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.718 * [backup-simplify]: Simplify (- 0) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.718 * [backup-simplify]: Simplify (- 0) into 0 0.719 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.719 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.721 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 0.721 * [taylor]: Taking taylor expansion of 0 in im 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.723 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.724 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.724 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.724 * [backup-simplify]: Simplify (- 0) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0 0.725 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 0.726 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.727 * [backup-simplify]: Simplify (- 0) into 0 0.727 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.728 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0 0.730 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0 0.731 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0 0.731 * [taylor]: Taking taylor expansion of 0 in im 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (* 0.5 (* (cos (/ 1 (/ 1 re))) (sqrt (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im))))))) into (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) 0.731 * [backup-simplify]: Simplify (* (* 0.5 (cos (/ 1 (- re)))) (sqrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) into (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) 0.731 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in (re im) around 0 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in im 0.731 * [taylor]: Taking taylor expansion of 0.5 in im 0.731 * [backup-simplify]: Simplify 0.5 into 0.5 0.731 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in im 0.731 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.731 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.731 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.731 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.731 * [taylor]: Taking taylor expansion of -1 in im 0.731 * [backup-simplify]: Simplify -1 into -1 0.731 * [taylor]: Taking taylor expansion of im in im 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ -1 1) into -1 0.732 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.732 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.732 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.732 * [taylor]: Taking taylor expansion of im in im 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.732 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.732 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 0.733 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.733 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.733 * [taylor]: Taking taylor expansion of -1 in im 0.733 * [backup-simplify]: Simplify -1 into -1 0.733 * [taylor]: Taking taylor expansion of re in im 0.733 * [backup-simplify]: Simplify re into re 0.733 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.733 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.733 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.733 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in re 0.733 * [taylor]: Taking taylor expansion of 0.5 in re 0.733 * [backup-simplify]: Simplify 0.5 into 0.5 0.733 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in re 0.733 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 0.733 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.733 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.733 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.733 * [taylor]: Taking taylor expansion of -1 in re 0.733 * [backup-simplify]: Simplify -1 into -1 0.733 * [taylor]: Taking taylor expansion of im in re 0.733 * [backup-simplify]: Simplify im into im 0.733 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.733 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.733 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.733 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.733 * [taylor]: Taking taylor expansion of im in re 0.733 * [backup-simplify]: Simplify im into im 0.733 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.733 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.733 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.733 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0.734 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.734 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.735 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 0.735 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.735 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.735 * [taylor]: Taking taylor expansion of -1 in re 0.735 * [backup-simplify]: Simplify -1 into -1 0.735 * [taylor]: Taking taylor expansion of re in re 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (/ -1 1) into -1 0.735 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.735 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in re 0.735 * [taylor]: Taking taylor expansion of 0.5 in re 0.735 * [backup-simplify]: Simplify 0.5 into 0.5 0.735 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in re 0.735 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re 0.735 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.735 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.736 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.736 * [taylor]: Taking taylor expansion of -1 in re 0.736 * [backup-simplify]: Simplify -1 into -1 0.736 * [taylor]: Taking taylor expansion of im in re 0.736 * [backup-simplify]: Simplify im into im 0.736 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.736 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.736 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.736 * [backup-simplify]: Simplify im into im 0.736 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.736 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.736 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.736 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0.736 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.737 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.737 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 0.737 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.737 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.737 * [taylor]: Taking taylor expansion of -1 in re 0.738 * [backup-simplify]: Simplify -1 into -1 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (/ -1 1) into -1 0.738 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.738 * [backup-simplify]: Simplify (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) into (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) 0.738 * [backup-simplify]: Simplify (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) into (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) 0.738 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in im 0.738 * [taylor]: Taking taylor expansion of 0.5 in im 0.738 * [backup-simplify]: Simplify 0.5 into 0.5 0.738 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in im 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.738 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.738 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.738 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.738 * [taylor]: Taking taylor expansion of -1 in im 0.738 * [backup-simplify]: Simplify -1 into -1 0.738 * [taylor]: Taking taylor expansion of im in im 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (/ -1 1) into -1 0.739 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 0.739 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.739 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.739 * [taylor]: Taking taylor expansion of im in im 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (/ 1 1) into 1 0.742 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 0.742 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 0.742 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 0.743 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.743 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.743 * [taylor]: Taking taylor expansion of -1 in im 0.743 * [backup-simplify]: Simplify -1 into -1 0.743 * [taylor]: Taking taylor expansion of re in im 0.743 * [backup-simplify]: Simplify re into re 0.743 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.743 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 0.743 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 0.743 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 0.743 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 0.743 * [backup-simplify]: Simplify (- 0) into 0 0.743 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 0.743 * [backup-simplify]: Simplify (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) into (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) 0.743 * [backup-simplify]: Simplify (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) into (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) 0.744 * [backup-simplify]: Simplify (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) into (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) 0.744 * [backup-simplify]: Simplify (+ (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (* 0 (cos (/ -1 re)))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))))) into 0 0.744 * [taylor]: Taking taylor expansion of 0 in im 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (+ 0) into 0 0.745 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.746 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 0.746 * [backup-simplify]: Simplify (- 0) into 0 0.746 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [backup-simplify]: Simplify (+ (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (* 0 (cos (/ -1 re)))) into 0 0.747 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))))) into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.748 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.748 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 0.749 * [backup-simplify]: Simplify (+ (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 0.750 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))))) into 0 0.750 * [taylor]: Taking taylor expansion of 0 in im 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.751 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 0.751 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.752 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.752 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 0.752 * [backup-simplify]: Simplify (- 0) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 0.754 * [backup-simplify]: Simplify (+ (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 0.754 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))))) into 0 0.754 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.755 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.757 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.757 * [backup-simplify]: Simplify (+ 0 0) into 0 0.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0 0.758 * [backup-simplify]: Simplify (+ (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 0.759 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))))))) into 0 0.759 * [taylor]: Taking taylor expansion of 0 in im 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify (* 0.5 (* (sqrt (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im)))))) (cos (/ -1 (/ 1 (- re)))))) into (* 0.5 (* (sqrt (+ (exp (* -1 im)) (exp im))) (cos re))) 0.759 * * * [progress]: simplifying candidates 0.760 * [simplify]: Simplifying: (* (* (* 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) (log (cos re))) (log (sqrt (+ (exp (- im)) (exp im))))) (+ (log (* 0.5 (cos re))) (log (sqrt (+ (exp (- im)) (exp im))))) (log (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (exp (* (* 0.5 (cos re)) (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))))) (* (* (* (* 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))))) (* (cbrt (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))))) (cbrt (* (* 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))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (sqrt (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))) (sqrt (* 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(cos re))) 0.761 * [simplify]: Sending expressions to egg_math: (* (* (* h0 (cos h1)) (sqrt (+ (exp (- h2)) (exp h2)))) (sqrt (+ (exp (- h2)) (exp h2)))) (* (* (* h0 (cos h1)) (sqrt (+ (exp (- h2)) (exp h2)))) (sqrt (+ (exp (- h2)) (exp h2)))) (* (* (* h0 (cos h1)) (sqrt (+ (exp (- h2)) (exp h2)))) (sqrt (+ (exp (- h2)) (exp h2)))) (+ (+ (+ (log h0) (log (cos h1))) (log (sqrt (+ (exp (- h2)) (exp h2))))) (log (sqrt (+ (exp (- h2)) (exp h2))))) (+ (+ (log (* h0 (cos h1))) (log (sqrt (+ (exp (- h2)) (exp h2))))) (log (sqrt (+ (exp (- h2)) (exp h2))))) (+ (log (* (* h0 (cos h1)) (sqrt (+ (exp (- h2)) (exp h2))))) (log (sqrt (+ (exp (- h2)) (exp h2))))) (log (* (* (* h0 (cos h1)) (sqrt (+ (exp (- h2)) (exp h2)))) (sqrt (+ (exp (- h2)) (exp h2))))) (exp (* (* (* h0 (cos h1)) (sqrt (+ (exp (- h2)) (exp h2)))) (sqrt (+ (exp (- h2)) (exp h2))))) (* (* (* (* (* h0 h0) h0) (* (* (cos h1) (cos h1)) (cos h1))) (* (* (sqrt (+ (exp (- h2)) (exp h2))) (sqrt (+ (exp (- h2)) (exp h2)))) (sqrt (+ (exp 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(* (cbrt (+ (exp (- h2)) (exp h2))) (cbrt (+ (exp (- h2)) (exp h2)))))) (* (* h0 (cos h1)) (sqrt (sqrt (+ (exp (- h2)) (exp h2))))) (* (* h0 (cos h1)) (sqrt 1)) (* (* h0 (cos h1)) (sqrt 1)) (* (* h0 (cos h1)) (sqrt (sqrt (+ (exp (- h2)) (exp h2))))) (* (* h0 (cos h1)) 1) (* (cos h1) (sqrt (+ (exp (- h2)) (exp h2)))) (* (* h0 (cos h1)) (sqrt (+ (pow (exp (- h2)) 3) (pow (exp h2) 3)))) (* (* h0 (cos h1)) (sqrt (- (* (exp (- h2)) (exp (- h2))) (* (exp h2) (exp h2))))) (- (+ (* h0 (pow h2 2)) h3) (* h0 (pow h1 2))) (* h0 (* (cos h1) (+ (exp h2) (exp (- h2))))) (* h0 (* (+ (exp (* -1 h2)) (exp h2)) (cos h1))) (- (+ (* h0 (sqrt 2)) (* h4 (/ (pow h2 2) (sqrt 2)))) (* h4 (* (pow h1 2) (sqrt 2)))) (* h0 (* (cos h1) (sqrt (+ (exp h2) (exp (- h2)))))) (* h0 (* (sqrt (+ (exp (* -1 h2)) (exp h2))) (cos h1))) 0.766 * * [simplify]: iteration 0 : 353 enodes (cost 881 ) 0.773 * * [simplify]: iteration 1 : 1823 enodes (cost 711 ) 0.811 * * [simplify]: iteration 2 : 5001 enodes (cost 698 ) 0.814 * * * [progress]: adding candidates to table 0.932 * [progress]: [Phase 3 of 3] Extracting. 0.932 * * [regime]: Finding splitpoints for: (# #) 0.932 * * * [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) 0.932 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# #) 0.946 * * * * [regimes]: Trying to branch on (cos re) from (# #) 0.963 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 0.977 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# #) 0.997 * * * * [regimes]: Trying to branch on im from (# #) 1.011 * * * * [regimes]: Trying to branch on re from (# #) 1.023 * * * [regime]: Found split indices: #