14.687 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.132 * * * [progress]: [2/2] Setting up program.
0.136 * [progress]: [Phase 2 of 3] Improving.
0.137 * [simplify]: Simplifying:
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
1.091 * * [progress]: iteration 1 / 4
1.091 * * * [progress]: picking best candidate
1.129 * * * * [pick]: Picked  #<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))>
1.129 * * * [progress]: localizing error
1.149 * * * [progress]: generating rewritten candidates
1.150 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
1.245 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
1.268 * * * [progress]: generating series expansions
1.268 * * * * [progress]: [ 1 / 2 ] generating series at (2)
1.268 * [backup-simplify]: Simplify (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) into (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))
1.268 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0
1.268 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im
1.268 * [taylor]: Taking taylor expansion of 0.5 in im
1.268 * [backup-simplify]: Simplify 0.5 into 0.5
1.268 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im
1.268 * [taylor]: Taking taylor expansion of (cos re) in im
1.268 * [taylor]: Taking taylor expansion of re in im
1.268 * [backup-simplify]: Simplify re into re
1.268 * [backup-simplify]: Simplify (cos re) into (cos re)
1.268 * [backup-simplify]: Simplify (sin re) into (sin re)
1.268 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
1.268 * [taylor]: Taking taylor expansion of (exp im) in im
1.268 * [taylor]: Taking taylor expansion of im in im
1.268 * [backup-simplify]: Simplify 0 into 0
1.268 * [backup-simplify]: Simplify 1 into 1
1.268 * [backup-simplify]: Simplify (exp 0) into 1
1.268 * [taylor]: Taking taylor expansion of (exp (- im)) in im
1.268 * [taylor]: Taking taylor expansion of (- im) in im
1.268 * [taylor]: Taking taylor expansion of im in im
1.268 * [backup-simplify]: Simplify 0 into 0
1.268 * [backup-simplify]: Simplify 1 into 1
1.269 * [backup-simplify]: Simplify (- 0) into 0
1.269 * [backup-simplify]: Simplify (- 1) into -1
1.269 * [backup-simplify]: Simplify (exp 0) into 1
1.269 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
1.269 * [taylor]: Taking taylor expansion of 0.5 in re
1.269 * [backup-simplify]: Simplify 0.5 into 0.5
1.269 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
1.269 * [taylor]: Taking taylor expansion of (cos re) in re
1.269 * [taylor]: Taking taylor expansion of re in re
1.269 * [backup-simplify]: Simplify 0 into 0
1.269 * [backup-simplify]: Simplify 1 into 1
1.269 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
1.269 * [taylor]: Taking taylor expansion of (exp im) in re
1.269 * [taylor]: Taking taylor expansion of im in re
1.269 * [backup-simplify]: Simplify im into im
1.269 * [backup-simplify]: Simplify (exp im) into (exp im)
1.269 * [taylor]: Taking taylor expansion of (exp (- im)) in re
1.269 * [taylor]: Taking taylor expansion of (- im) in re
1.269 * [taylor]: Taking taylor expansion of im in re
1.269 * [backup-simplify]: Simplify im into im
1.269 * [backup-simplify]: Simplify (- im) into (- im)
1.270 * [backup-simplify]: Simplify (- im) into (- im)
1.270 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
1.270 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
1.270 * [taylor]: Taking taylor expansion of 0.5 in re
1.270 * [backup-simplify]: Simplify 0.5 into 0.5
1.270 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
1.270 * [taylor]: Taking taylor expansion of (cos re) in re
1.270 * [taylor]: Taking taylor expansion of re in re
1.270 * [backup-simplify]: Simplify 0 into 0
1.270 * [backup-simplify]: Simplify 1 into 1
1.270 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
1.270 * [taylor]: Taking taylor expansion of (exp im) in re
1.270 * [taylor]: Taking taylor expansion of im in re
1.270 * [backup-simplify]: Simplify im into im
1.270 * [backup-simplify]: Simplify (exp im) into (exp im)
1.270 * [taylor]: Taking taylor expansion of (exp (- im)) in re
1.270 * [taylor]: Taking taylor expansion of (- im) in re
1.270 * [taylor]: Taking taylor expansion of im in re
1.270 * [backup-simplify]: Simplify im into im
1.270 * [backup-simplify]: Simplify (- im) into (- im)
1.270 * [backup-simplify]: Simplify (- im) into (- im)
1.270 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
1.270 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
1.270 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
1.270 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
1.270 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im
1.270 * [taylor]: Taking taylor expansion of 0.5 in im
1.270 * [backup-simplify]: Simplify 0.5 into 0.5
1.270 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
1.270 * [taylor]: Taking taylor expansion of (exp im) in im
1.270 * [taylor]: Taking taylor expansion of im in im
1.270 * [backup-simplify]: Simplify 0 into 0
1.270 * [backup-simplify]: Simplify 1 into 1
1.270 * [backup-simplify]: Simplify (exp 0) into 1
1.270 * [taylor]: Taking taylor expansion of (exp (- im)) in im
1.270 * [taylor]: Taking taylor expansion of (- im) in im
1.270 * [taylor]: Taking taylor expansion of im in im
1.271 * [backup-simplify]: Simplify 0 into 0
1.271 * [backup-simplify]: Simplify 1 into 1
1.271 * [backup-simplify]: Simplify (- 0) into 0
1.271 * [backup-simplify]: Simplify (- 1) into -1
1.271 * [backup-simplify]: Simplify (exp 0) into 1
1.271 * [backup-simplify]: Simplify (+ 1 1) into 2
1.272 * [backup-simplify]: Simplify (* 0.5 2) into 1.0
1.272 * [backup-simplify]: Simplify 1.0 into 1.0
1.272 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
1.272 * [backup-simplify]: Simplify (- im) into (- im)
1.272 * [backup-simplify]: Simplify (- 0) into 0
1.273 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
1.273 * [backup-simplify]: Simplify (+ 0 0) into 0
1.274 * [backup-simplify]: Simplify (+ 0) into 0
1.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0
1.274 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0
1.274 * [taylor]: Taking taylor expansion of 0 in im
1.274 * [backup-simplify]: Simplify 0 into 0
1.274 * [backup-simplify]: Simplify 0 into 0
1.275 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
1.275 * [backup-simplify]: Simplify (- 1) into -1
1.276 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
1.276 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0
1.277 * [backup-simplify]: Simplify 0 into 0
1.278 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.278 * [backup-simplify]: Simplify (- im) into (- im)
1.278 * [backup-simplify]: Simplify (- 0) into 0
1.278 * [backup-simplify]: Simplify (- 0) into 0
1.279 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.279 * [backup-simplify]: Simplify (+ 0 0) into 0
1.280 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp im) (exp (- im)))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im)))))
1.281 * [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)))))
1.281 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im
1.281 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im
1.281 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im
1.281 * [taylor]: Taking taylor expansion of 0.25 in im
1.281 * [backup-simplify]: Simplify 0.25 into 0.25
1.281 * [taylor]: Taking taylor expansion of (exp im) in im
1.281 * [taylor]: Taking taylor expansion of im in im
1.281 * [backup-simplify]: Simplify 0 into 0
1.281 * [backup-simplify]: Simplify 1 into 1
1.281 * [backup-simplify]: Simplify (exp 0) into 1
1.281 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im
1.281 * [taylor]: Taking taylor expansion of 0.25 in im
1.281 * [backup-simplify]: Simplify 0.25 into 0.25
1.281 * [taylor]: Taking taylor expansion of (exp (- im)) in im
1.281 * [taylor]: Taking taylor expansion of (- im) in im
1.281 * [taylor]: Taking taylor expansion of im in im
1.281 * [backup-simplify]: Simplify 0 into 0
1.281 * [backup-simplify]: Simplify 1 into 1
1.282 * [backup-simplify]: Simplify (- 0) into 0
1.282 * [backup-simplify]: Simplify (- 1) into -1
1.282 * [backup-simplify]: Simplify (exp 0) into 1
1.282 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
1.282 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
1.283 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5
1.283 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
1.283 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
1.283 * [backup-simplify]: Simplify 0 into 0
1.284 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
1.284 * [backup-simplify]: Simplify (- 1) into -1
1.284 * [backup-simplify]: Simplify (- 0) into 0
1.285 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
1.286 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
1.287 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5
1.287 * [backup-simplify]: Simplify 0.5 into 0.5
1.287 * [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)))
1.288 * [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)))))
1.288 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0
1.288 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
1.288 * [taylor]: Taking taylor expansion of 0.5 in im
1.288 * [backup-simplify]: Simplify 0.5 into 0.5
1.288 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
1.288 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
1.288 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.288 * [taylor]: Taking taylor expansion of re in im
1.288 * [backup-simplify]: Simplify re into re
1.288 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.288 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
1.288 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
1.288 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
1.288 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
1.288 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
1.288 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.288 * [taylor]: Taking taylor expansion of im in im
1.288 * [backup-simplify]: Simplify 0 into 0
1.288 * [backup-simplify]: Simplify 1 into 1
1.288 * [backup-simplify]: Simplify (/ 1 1) into 1
1.289 * [backup-simplify]: Simplify (- 1) into -1
1.289 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
1.289 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
1.289 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.289 * [taylor]: Taking taylor expansion of im in im
1.289 * [backup-simplify]: Simplify 0 into 0
1.289 * [backup-simplify]: Simplify 1 into 1
1.289 * [backup-simplify]: Simplify (/ 1 1) into 1
1.289 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.289 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
1.289 * [taylor]: Taking taylor expansion of 0.5 in re
1.289 * [backup-simplify]: Simplify 0.5 into 0.5
1.289 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
1.289 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
1.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.289 * [taylor]: Taking taylor expansion of re in re
1.289 * [backup-simplify]: Simplify 0 into 0
1.289 * [backup-simplify]: Simplify 1 into 1
1.289 * [backup-simplify]: Simplify (/ 1 1) into 1
1.290 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
1.290 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
1.290 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
1.290 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
1.290 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.290 * [taylor]: Taking taylor expansion of im in re
1.290 * [backup-simplify]: Simplify im into im
1.290 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.290 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.290 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.290 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
1.290 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
1.290 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.290 * [taylor]: Taking taylor expansion of im in re
1.290 * [backup-simplify]: Simplify im into im
1.290 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.290 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
1.290 * [taylor]: Taking taylor expansion of 0.5 in re
1.290 * [backup-simplify]: Simplify 0.5 into 0.5
1.290 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
1.290 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
1.290 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.290 * [taylor]: Taking taylor expansion of re in re
1.290 * [backup-simplify]: Simplify 0 into 0
1.290 * [backup-simplify]: Simplify 1 into 1
1.290 * [backup-simplify]: Simplify (/ 1 1) into 1
1.290 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
1.291 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
1.291 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
1.291 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
1.291 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.291 * [taylor]: Taking taylor expansion of im in re
1.291 * [backup-simplify]: Simplify im into im
1.291 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.291 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.291 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.291 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
1.291 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
1.291 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.291 * [taylor]: Taking taylor expansion of im in re
1.291 * [backup-simplify]: Simplify im into im
1.291 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.291 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.291 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
1.291 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
1.291 * [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)))))
1.291 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
1.292 * [taylor]: Taking taylor expansion of 0.5 in im
1.292 * [backup-simplify]: Simplify 0.5 into 0.5
1.292 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
1.292 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
1.292 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.292 * [taylor]: Taking taylor expansion of re in im
1.292 * [backup-simplify]: Simplify re into re
1.292 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.292 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
1.292 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
1.292 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
1.292 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
1.292 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
1.292 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.292 * [taylor]: Taking taylor expansion of im in im
1.292 * [backup-simplify]: Simplify 0 into 0
1.292 * [backup-simplify]: Simplify 1 into 1
1.292 * [backup-simplify]: Simplify (/ 1 1) into 1
1.292 * [backup-simplify]: Simplify (- 1) into -1
1.292 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
1.292 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
1.292 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.293 * [taylor]: Taking taylor expansion of im in im
1.293 * [backup-simplify]: Simplify 0 into 0
1.293 * [backup-simplify]: Simplify 1 into 1
1.293 * [backup-simplify]: Simplify (/ 1 1) into 1
1.293 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.293 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
1.293 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
1.293 * [backup-simplify]: Simplify (- 0) into 0
1.294 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
1.294 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
1.294 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
1.294 * [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)))))
1.294 * [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)))))
1.294 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
1.295 * [backup-simplify]: Simplify (- 0) into 0
1.295 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
1.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
1.296 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
1.296 * [backup-simplify]: Simplify (+ 0 0) into 0
1.296 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
1.297 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
1.297 * [taylor]: Taking taylor expansion of 0 in im
1.297 * [backup-simplify]: Simplify 0 into 0
1.297 * [backup-simplify]: Simplify 0 into 0
1.297 * [backup-simplify]: Simplify (+ 0 0) into 0
1.297 * [backup-simplify]: Simplify (+ 0) into 0
1.297 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0
1.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
1.298 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.299 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0
1.299 * [backup-simplify]: Simplify (- 0) into 0
1.299 * [backup-simplify]: Simplify (+ 0 0) into 0
1.299 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
1.300 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
1.300 * [backup-simplify]: Simplify 0 into 0
1.300 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.300 * [backup-simplify]: Simplify (- 0) into 0
1.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.301 * [backup-simplify]: Simplify (- 0) into 0
1.301 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.302 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.302 * [backup-simplify]: Simplify (+ 0 0) into 0
1.303 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
1.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
1.304 * [taylor]: Taking taylor expansion of 0 in im
1.304 * [backup-simplify]: Simplify 0 into 0
1.304 * [backup-simplify]: Simplify 0 into 0
1.304 * [backup-simplify]: Simplify 0 into 0
1.304 * [backup-simplify]: Simplify (+ 0 0) into 0
1.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.305 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
1.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
1.305 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.306 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
1.306 * [backup-simplify]: Simplify (- 0) into 0
1.306 * [backup-simplify]: Simplify (+ 0 0) into 0
1.307 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
1.307 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
1.307 * [backup-simplify]: Simplify 0 into 0
1.307 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.308 * [backup-simplify]: Simplify (- 0) into 0
1.308 * [backup-simplify]: Simplify (- 0) into 0
1.308 * [backup-simplify]: Simplify (- 0) into 0
1.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.308 * [backup-simplify]: Simplify (- 0) into 0
1.309 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.311 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.311 * [backup-simplify]: Simplify (+ 0 0) into 0
1.311 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
1.312 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0
1.312 * [taylor]: Taking taylor expansion of 0 in im
1.312 * [backup-simplify]: Simplify 0 into 0
1.312 * [backup-simplify]: Simplify 0 into 0
1.312 * [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)))))
1.313 * [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))))
1.313 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0
1.313 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
1.313 * [taylor]: Taking taylor expansion of 0.5 in im
1.313 * [backup-simplify]: Simplify 0.5 into 0.5
1.313 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
1.313 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
1.313 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
1.313 * [taylor]: Taking taylor expansion of (/ -1 im) in im
1.313 * [taylor]: Taking taylor expansion of -1 in im
1.313 * [backup-simplify]: Simplify -1 into -1
1.313 * [taylor]: Taking taylor expansion of im in im
1.313 * [backup-simplify]: Simplify 0 into 0
1.313 * [backup-simplify]: Simplify 1 into 1
1.313 * [backup-simplify]: Simplify (/ -1 1) into -1
1.313 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
1.313 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
1.313 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.313 * [taylor]: Taking taylor expansion of im in im
1.313 * [backup-simplify]: Simplify 0 into 0
1.313 * [backup-simplify]: Simplify 1 into 1
1.314 * [backup-simplify]: Simplify (/ 1 1) into 1
1.314 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.314 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
1.314 * [taylor]: Taking taylor expansion of (/ -1 re) in im
1.314 * [taylor]: Taking taylor expansion of -1 in im
1.314 * [backup-simplify]: Simplify -1 into -1
1.314 * [taylor]: Taking taylor expansion of re in im
1.314 * [backup-simplify]: Simplify re into re
1.314 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
1.314 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
1.314 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
1.314 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
1.314 * [taylor]: Taking taylor expansion of 0.5 in re
1.314 * [backup-simplify]: Simplify 0.5 into 0.5
1.314 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
1.314 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
1.314 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
1.314 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.314 * [taylor]: Taking taylor expansion of -1 in re
1.314 * [backup-simplify]: Simplify -1 into -1
1.314 * [taylor]: Taking taylor expansion of im in re
1.314 * [backup-simplify]: Simplify im into im
1.314 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.314 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
1.314 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
1.314 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.314 * [taylor]: Taking taylor expansion of im in re
1.314 * [backup-simplify]: Simplify im into im
1.314 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.314 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.314 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
1.314 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.314 * [taylor]: Taking taylor expansion of -1 in re
1.314 * [backup-simplify]: Simplify -1 into -1
1.314 * [taylor]: Taking taylor expansion of re in re
1.315 * [backup-simplify]: Simplify 0 into 0
1.315 * [backup-simplify]: Simplify 1 into 1
1.315 * [backup-simplify]: Simplify (/ -1 1) into -1
1.315 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
1.315 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
1.315 * [taylor]: Taking taylor expansion of 0.5 in re
1.315 * [backup-simplify]: Simplify 0.5 into 0.5
1.315 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
1.315 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
1.315 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
1.315 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.315 * [taylor]: Taking taylor expansion of -1 in re
1.315 * [backup-simplify]: Simplify -1 into -1
1.315 * [taylor]: Taking taylor expansion of im in re
1.315 * [backup-simplify]: Simplify im into im
1.315 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.315 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
1.315 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
1.315 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.315 * [taylor]: Taking taylor expansion of im in re
1.315 * [backup-simplify]: Simplify im into im
1.315 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.315 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.315 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
1.315 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.315 * [taylor]: Taking taylor expansion of -1 in re
1.315 * [backup-simplify]: Simplify -1 into -1
1.315 * [taylor]: Taking taylor expansion of re in re
1.315 * [backup-simplify]: Simplify 0 into 0
1.315 * [backup-simplify]: Simplify 1 into 1
1.316 * [backup-simplify]: Simplify (/ -1 1) into -1
1.316 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
1.316 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
1.316 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
1.316 * [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))))
1.316 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
1.316 * [taylor]: Taking taylor expansion of 0.5 in im
1.316 * [backup-simplify]: Simplify 0.5 into 0.5
1.316 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
1.316 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
1.316 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
1.316 * [taylor]: Taking taylor expansion of (/ -1 im) in im
1.316 * [taylor]: Taking taylor expansion of -1 in im
1.316 * [backup-simplify]: Simplify -1 into -1
1.316 * [taylor]: Taking taylor expansion of im in im
1.316 * [backup-simplify]: Simplify 0 into 0
1.316 * [backup-simplify]: Simplify 1 into 1
1.317 * [backup-simplify]: Simplify (/ -1 1) into -1
1.317 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
1.317 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
1.317 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.317 * [taylor]: Taking taylor expansion of im in im
1.317 * [backup-simplify]: Simplify 0 into 0
1.317 * [backup-simplify]: Simplify 1 into 1
1.317 * [backup-simplify]: Simplify (/ 1 1) into 1
1.317 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.317 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
1.317 * [taylor]: Taking taylor expansion of (/ -1 re) in im
1.317 * [taylor]: Taking taylor expansion of -1 in im
1.317 * [backup-simplify]: Simplify -1 into -1
1.317 * [taylor]: Taking taylor expansion of re in im
1.317 * [backup-simplify]: Simplify re into re
1.317 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
1.317 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
1.317 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
1.317 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
1.318 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
1.318 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
1.321 * [backup-simplify]: Simplify (- 0) into 0
1.321 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
1.321 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
1.321 * [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))))
1.322 * [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))))
1.322 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
1.322 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
1.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
1.323 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
1.323 * [backup-simplify]: Simplify (+ 0 0) into 0
1.323 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
1.324 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
1.324 * [taylor]: Taking taylor expansion of 0 in im
1.324 * [backup-simplify]: Simplify 0 into 0
1.324 * [backup-simplify]: Simplify 0 into 0
1.324 * [backup-simplify]: Simplify (+ 0) into 0
1.324 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0
1.325 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
1.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.325 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0
1.326 * [backup-simplify]: Simplify (- 0) into 0
1.326 * [backup-simplify]: Simplify (+ 0 0) into 0
1.326 * [backup-simplify]: Simplify (+ 0 0) into 0
1.327 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
1.327 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
1.327 * [backup-simplify]: Simplify 0 into 0
1.327 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.328 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.329 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.329 * [backup-simplify]: Simplify (+ 0 0) into 0
1.330 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
1.330 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
1.330 * [taylor]: Taking taylor expansion of 0 in im
1.330 * [backup-simplify]: Simplify 0 into 0
1.330 * [backup-simplify]: Simplify 0 into 0
1.330 * [backup-simplify]: Simplify 0 into 0
1.331 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.331 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
1.331 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
1.332 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.332 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
1.332 * [backup-simplify]: Simplify (- 0) into 0
1.333 * [backup-simplify]: Simplify (+ 0 0) into 0
1.333 * [backup-simplify]: Simplify (+ 0 0) into 0
1.333 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
1.334 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
1.334 * [backup-simplify]: Simplify 0 into 0
1.334 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.335 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.336 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.336 * [backup-simplify]: Simplify (+ 0 0) into 0
1.337 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0
1.338 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0
1.338 * [taylor]: Taking taylor expansion of 0 in im
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [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)))
1.338 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
1.338 * [backup-simplify]: Simplify (+ (exp (- im)) (exp im)) into (+ (exp im) (exp (- im)))
1.338 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0
1.338 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
1.338 * [taylor]: Taking taylor expansion of (exp im) in im
1.338 * [taylor]: Taking taylor expansion of im in im
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify 1 into 1
1.338 * [backup-simplify]: Simplify (exp 0) into 1
1.338 * [taylor]: Taking taylor expansion of (exp (- im)) in im
1.338 * [taylor]: Taking taylor expansion of (- im) in im
1.338 * [taylor]: Taking taylor expansion of im in im
1.339 * [backup-simplify]: Simplify 0 into 0
1.339 * [backup-simplify]: Simplify 1 into 1
1.339 * [backup-simplify]: Simplify (- 0) into 0
1.339 * [backup-simplify]: Simplify (- 1) into -1
1.339 * [backup-simplify]: Simplify (exp 0) into 1
1.339 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
1.339 * [taylor]: Taking taylor expansion of (exp im) in im
1.339 * [taylor]: Taking taylor expansion of im in im
1.339 * [backup-simplify]: Simplify 0 into 0
1.339 * [backup-simplify]: Simplify 1 into 1
1.339 * [backup-simplify]: Simplify (exp 0) into 1
1.339 * [taylor]: Taking taylor expansion of (exp (- im)) in im
1.339 * [taylor]: Taking taylor expansion of (- im) in im
1.339 * [taylor]: Taking taylor expansion of im in im
1.339 * [backup-simplify]: Simplify 0 into 0
1.339 * [backup-simplify]: Simplify 1 into 1
1.339 * [backup-simplify]: Simplify (- 0) into 0
1.340 * [backup-simplify]: Simplify (- 1) into -1
1.340 * [backup-simplify]: Simplify (exp 0) into 1
1.340 * [backup-simplify]: Simplify (+ 1 1) into 2
1.340 * [backup-simplify]: Simplify 2 into 2
1.341 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
1.341 * [backup-simplify]: Simplify (- 1) into -1
1.341 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
1.342 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.342 * [backup-simplify]: Simplify 0 into 0
1.343 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
1.343 * [backup-simplify]: Simplify (- 1) into -1
1.343 * [backup-simplify]: Simplify (- 0) into 0
1.344 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
1.344 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
1.344 * [backup-simplify]: Simplify 1 into 1
1.346 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
1.346 * [backup-simplify]: Simplify (- 1) into -1
1.346 * [backup-simplify]: Simplify (- 1) into -1
1.346 * [backup-simplify]: Simplify (- 0) into 0
1.346 * [backup-simplify]: Simplify (- 0) into 0
1.348 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
1.348 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0
1.348 * [backup-simplify]: Simplify 0 into 0
1.351 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
1.351 * [backup-simplify]: Simplify (- 1) into -1
1.351 * [backup-simplify]: Simplify (- 1) into -1
1.351 * [backup-simplify]: Simplify (- 0) into 0
1.352 * [backup-simplify]: Simplify (- 1) into -1
1.352 * [backup-simplify]: Simplify (- 0) into 0
1.352 * [backup-simplify]: Simplify (- 0) into 0
1.352 * [backup-simplify]: Simplify (- 0) into 0
1.354 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
1.355 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12
1.355 * [backup-simplify]: Simplify 1/12 into 1/12
1.355 * [backup-simplify]: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (pow im 2)) 2)) into (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
1.356 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
1.356 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0
1.356 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
1.356 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
1.356 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
1.356 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.356 * [taylor]: Taking taylor expansion of im in im
1.356 * [backup-simplify]: Simplify 0 into 0
1.356 * [backup-simplify]: Simplify 1 into 1
1.356 * [backup-simplify]: Simplify (/ 1 1) into 1
1.356 * [backup-simplify]: Simplify (- 1) into -1
1.356 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
1.356 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
1.356 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.357 * [taylor]: Taking taylor expansion of im in im
1.357 * [backup-simplify]: Simplify 0 into 0
1.357 * [backup-simplify]: Simplify 1 into 1
1.357 * [backup-simplify]: Simplify (/ 1 1) into 1
1.357 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.357 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
1.357 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
1.357 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
1.357 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.357 * [taylor]: Taking taylor expansion of im in im
1.357 * [backup-simplify]: Simplify 0 into 0
1.357 * [backup-simplify]: Simplify 1 into 1
1.357 * [backup-simplify]: Simplify (/ 1 1) into 1
1.358 * [backup-simplify]: Simplify (- 1) into -1
1.358 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
1.358 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
1.358 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.358 * [taylor]: Taking taylor expansion of im in im
1.358 * [backup-simplify]: Simplify 0 into 0
1.358 * [backup-simplify]: Simplify 1 into 1
1.358 * [backup-simplify]: Simplify (/ 1 1) into 1
1.358 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.359 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
1.359 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
1.359 * [backup-simplify]: Simplify (+ 0 0) into 0
1.359 * [backup-simplify]: Simplify 0 into 0
1.359 * [backup-simplify]: Simplify (+ 0 0) into 0
1.359 * [backup-simplify]: Simplify 0 into 0
1.360 * [backup-simplify]: Simplify (+ 0 0) into 0
1.360 * [backup-simplify]: Simplify 0 into 0
1.360 * [backup-simplify]: Simplify (+ 0 0) into 0
1.360 * [backup-simplify]: Simplify 0 into 0
1.361 * [backup-simplify]: Simplify (+ 0 0) into 0
1.361 * [backup-simplify]: Simplify 0 into 0
1.361 * [backup-simplify]: Simplify (+ 0 0) into 0
1.361 * [backup-simplify]: Simplify 0 into 0
1.361 * [backup-simplify]: Simplify (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im)))) into (+ (exp im) (exp (- im)))
1.361 * [backup-simplify]: Simplify (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
1.361 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0
1.361 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
1.361 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
1.361 * [taylor]: Taking taylor expansion of (/ -1 im) in im
1.361 * [taylor]: Taking taylor expansion of -1 in im
1.361 * [backup-simplify]: Simplify -1 into -1
1.361 * [taylor]: Taking taylor expansion of im in im
1.362 * [backup-simplify]: Simplify 0 into 0
1.362 * [backup-simplify]: Simplify 1 into 1
1.362 * [backup-simplify]: Simplify (/ -1 1) into -1
1.362 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
1.362 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
1.362 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.362 * [taylor]: Taking taylor expansion of im in im
1.362 * [backup-simplify]: Simplify 0 into 0
1.362 * [backup-simplify]: Simplify 1 into 1
1.362 * [backup-simplify]: Simplify (/ 1 1) into 1
1.362 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.362 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
1.362 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
1.362 * [taylor]: Taking taylor expansion of (/ -1 im) in im
1.362 * [taylor]: Taking taylor expansion of -1 in im
1.362 * [backup-simplify]: Simplify -1 into -1
1.362 * [taylor]: Taking taylor expansion of im in im
1.362 * [backup-simplify]: Simplify 0 into 0
1.362 * [backup-simplify]: Simplify 1 into 1
1.363 * [backup-simplify]: Simplify (/ -1 1) into -1
1.363 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
1.363 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
1.363 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.363 * [taylor]: Taking taylor expansion of im in im
1.363 * [backup-simplify]: Simplify 0 into 0
1.363 * [backup-simplify]: Simplify 1 into 1
1.363 * [backup-simplify]: Simplify (/ 1 1) into 1
1.363 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.363 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
1.363 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
1.364 * [backup-simplify]: Simplify (+ 0 0) into 0
1.364 * [backup-simplify]: Simplify 0 into 0
1.364 * [backup-simplify]: Simplify (+ 0 0) into 0
1.364 * [backup-simplify]: Simplify 0 into 0
1.364 * [backup-simplify]: Simplify (+ 0 0) into 0
1.364 * [backup-simplify]: Simplify 0 into 0
1.364 * [backup-simplify]: Simplify (+ 0 0) into 0
1.364 * [backup-simplify]: Simplify 0 into 0
1.365 * [backup-simplify]: Simplify (+ 0 0) into 0
1.365 * [backup-simplify]: Simplify 0 into 0
1.365 * [backup-simplify]: Simplify (+ 0 0) into 0
1.365 * [backup-simplify]: Simplify 0 into 0
1.365 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) into (+ (exp (* -1 im)) (exp im))
1.365 * * * [progress]: simplifying candidates
1.366 * [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))))
  (* (exp (exp (- im))) (exp (exp im)))
  (log (+ (exp (- im)) (exp im)))
  (exp (+ (exp (- im)) (exp im)))
  (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))
  (cbrt (+ (exp (- im)) (exp im)))
  (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))
  (sqrt (+ (exp (- im)) (exp im)))
  (sqrt (+ (exp (- im)) (exp im)))
  (+ (pow (exp (- im)) 3) (pow (exp im) 3))
  (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))
  (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))
  (- (exp (- im)) (exp im))
  (+ (exp (- im)) (exp im))
  (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
  (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))
  (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re)))
  (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
  (+ (exp im) (exp (- im)))
  (+ (exp (* -1 im)) (exp im))
1.964 * * * [progress]: adding candidates to table
2.122 * * [progress]: iteration 2 / 4
2.122 * * * [progress]: picking best candidate
2.126 * * * * [pick]: Picked  #<alt (λ (re im) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))))>
2.126 * * * [progress]: localizing error
2.146 * * * [progress]: generating rewritten candidates
2.146 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
2.394 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
2.485 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
2.515 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2)
2.546 * * * [progress]: generating series expansions
2.546 * * * * [progress]: [ 1 / 4 ] generating series at (2)
2.546 * [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)))))
2.547 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0
2.547 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im
2.547 * [taylor]: Taking taylor expansion of 0.5 in im
2.547 * [backup-simplify]: Simplify 0.5 into 0.5
2.547 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im
2.547 * [taylor]: Taking taylor expansion of (cos re) in im
2.547 * [taylor]: Taking taylor expansion of re in im
2.547 * [backup-simplify]: Simplify re into re
2.547 * [backup-simplify]: Simplify (cos re) into (cos re)
2.547 * [backup-simplify]: Simplify (sin re) into (sin re)
2.547 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.547 * [taylor]: Taking taylor expansion of (exp im) in im
2.547 * [taylor]: Taking taylor expansion of im in im
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify 1 into 1
2.547 * [backup-simplify]: Simplify (exp 0) into 1
2.547 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.547 * [taylor]: Taking taylor expansion of (- im) in im
2.547 * [taylor]: Taking taylor expansion of im in im
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify 1 into 1
2.547 * [backup-simplify]: Simplify (- 0) into 0
2.548 * [backup-simplify]: Simplify (- 1) into -1
2.548 * [backup-simplify]: Simplify (exp 0) into 1
2.548 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
2.548 * [taylor]: Taking taylor expansion of 0.5 in re
2.548 * [backup-simplify]: Simplify 0.5 into 0.5
2.548 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
2.548 * [taylor]: Taking taylor expansion of (cos re) in re
2.548 * [taylor]: Taking taylor expansion of re in re
2.548 * [backup-simplify]: Simplify 0 into 0
2.548 * [backup-simplify]: Simplify 1 into 1
2.548 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
2.548 * [taylor]: Taking taylor expansion of (exp im) in re
2.548 * [taylor]: Taking taylor expansion of im in re
2.548 * [backup-simplify]: Simplify im into im
2.548 * [backup-simplify]: Simplify (exp im) into (exp im)
2.548 * [taylor]: Taking taylor expansion of (exp (- im)) in re
2.548 * [taylor]: Taking taylor expansion of (- im) in re
2.548 * [taylor]: Taking taylor expansion of im in re
2.548 * [backup-simplify]: Simplify im into im
2.548 * [backup-simplify]: Simplify (- im) into (- im)
2.548 * [backup-simplify]: Simplify (- im) into (- im)
2.548 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
2.548 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
2.548 * [taylor]: Taking taylor expansion of 0.5 in re
2.548 * [backup-simplify]: Simplify 0.5 into 0.5
2.548 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
2.548 * [taylor]: Taking taylor expansion of (cos re) in re
2.548 * [taylor]: Taking taylor expansion of re in re
2.548 * [backup-simplify]: Simplify 0 into 0
2.548 * [backup-simplify]: Simplify 1 into 1
2.548 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
2.548 * [taylor]: Taking taylor expansion of (exp im) in re
2.548 * [taylor]: Taking taylor expansion of im in re
2.548 * [backup-simplify]: Simplify im into im
2.548 * [backup-simplify]: Simplify (exp im) into (exp im)
2.548 * [taylor]: Taking taylor expansion of (exp (- im)) in re
2.548 * [taylor]: Taking taylor expansion of (- im) in re
2.548 * [taylor]: Taking taylor expansion of im in re
2.548 * [backup-simplify]: Simplify im into im
2.548 * [backup-simplify]: Simplify (- im) into (- im)
2.548 * [backup-simplify]: Simplify (- im) into (- im)
2.548 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
2.549 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
2.549 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
2.549 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
2.549 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im
2.549 * [taylor]: Taking taylor expansion of 0.5 in im
2.549 * [backup-simplify]: Simplify 0.5 into 0.5
2.549 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.549 * [taylor]: Taking taylor expansion of (exp im) in im
2.549 * [taylor]: Taking taylor expansion of im in im
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 1 into 1
2.549 * [backup-simplify]: Simplify (exp 0) into 1
2.549 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.549 * [taylor]: Taking taylor expansion of (- im) in im
2.549 * [taylor]: Taking taylor expansion of im in im
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 1 into 1
2.549 * [backup-simplify]: Simplify (- 0) into 0
2.549 * [backup-simplify]: Simplify (- 1) into -1
2.549 * [backup-simplify]: Simplify (exp 0) into 1
2.550 * [backup-simplify]: Simplify (+ 1 1) into 2
2.550 * [backup-simplify]: Simplify (* 0.5 2) into 1.0
2.550 * [backup-simplify]: Simplify 1.0 into 1.0
2.551 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
2.551 * [backup-simplify]: Simplify (- im) into (- im)
2.551 * [backup-simplify]: Simplify (- 0) into 0
2.551 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.552 * [backup-simplify]: Simplify (+ 0 0) into 0
2.552 * [backup-simplify]: Simplify (+ 0) into 0
2.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0
2.552 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0
2.552 * [taylor]: Taking taylor expansion of 0 in im
2.552 * [backup-simplify]: Simplify 0 into 0
2.553 * [backup-simplify]: Simplify 0 into 0
2.553 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.553 * [backup-simplify]: Simplify (- 1) into -1
2.554 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
2.554 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.555 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.556 * [backup-simplify]: Simplify (- im) into (- im)
2.556 * [backup-simplify]: Simplify (- 0) into 0
2.556 * [backup-simplify]: Simplify (- 0) into 0
2.557 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.557 * [backup-simplify]: Simplify (+ 0 0) into 0
2.558 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp im) (exp (- im)))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im)))))
2.563 * [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)))))
2.563 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im
2.563 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im
2.563 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im
2.563 * [taylor]: Taking taylor expansion of 0.25 in im
2.563 * [backup-simplify]: Simplify 0.25 into 0.25
2.563 * [taylor]: Taking taylor expansion of (exp im) in im
2.563 * [taylor]: Taking taylor expansion of im in im
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify 1 into 1
2.563 * [backup-simplify]: Simplify (exp 0) into 1
2.563 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im
2.563 * [taylor]: Taking taylor expansion of 0.25 in im
2.563 * [backup-simplify]: Simplify 0.25 into 0.25
2.563 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.563 * [taylor]: Taking taylor expansion of (- im) in im
2.563 * [taylor]: Taking taylor expansion of im in im
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify 1 into 1
2.564 * [backup-simplify]: Simplify (- 0) into 0
2.564 * [backup-simplify]: Simplify (- 1) into -1
2.564 * [backup-simplify]: Simplify (exp 0) into 1
2.564 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
2.565 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
2.565 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5
2.565 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.566 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.566 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.568 * [backup-simplify]: Simplify (- 1) into -1
2.568 * [backup-simplify]: Simplify (- 0) into 0
2.569 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.569 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
2.570 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5
2.570 * [backup-simplify]: Simplify 0.5 into 0.5
2.571 * [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)))
2.571 * [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)))))
2.571 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0
2.571 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
2.571 * [taylor]: Taking taylor expansion of 0.5 in im
2.571 * [backup-simplify]: Simplify 0.5 into 0.5
2.571 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.571 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
2.571 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.571 * [taylor]: Taking taylor expansion of re in im
2.571 * [backup-simplify]: Simplify re into re
2.571 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.571 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.571 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
2.571 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.571 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.571 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.571 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.571 * [taylor]: Taking taylor expansion of im in im
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify 1 into 1
2.572 * [backup-simplify]: Simplify (/ 1 1) into 1
2.572 * [backup-simplify]: Simplify (- 1) into -1
2.572 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.572 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.572 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.572 * [taylor]: Taking taylor expansion of im in im
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 1 into 1
2.572 * [backup-simplify]: Simplify (/ 1 1) into 1
2.572 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.572 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
2.572 * [taylor]: Taking taylor expansion of 0.5 in re
2.572 * [backup-simplify]: Simplify 0.5 into 0.5
2.572 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
2.573 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
2.573 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.573 * [taylor]: Taking taylor expansion of re in re
2.573 * [backup-simplify]: Simplify 0 into 0
2.573 * [backup-simplify]: Simplify 1 into 1
2.573 * [backup-simplify]: Simplify (/ 1 1) into 1
2.573 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.573 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
2.573 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
2.573 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
2.573 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.573 * [taylor]: Taking taylor expansion of im in re
2.573 * [backup-simplify]: Simplify im into im
2.573 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.573 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.573 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.573 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.573 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.573 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.573 * [taylor]: Taking taylor expansion of im in re
2.573 * [backup-simplify]: Simplify im into im
2.573 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.573 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.573 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
2.573 * [taylor]: Taking taylor expansion of 0.5 in re
2.573 * [backup-simplify]: Simplify 0.5 into 0.5
2.573 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
2.573 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
2.573 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.573 * [taylor]: Taking taylor expansion of re in re
2.573 * [backup-simplify]: Simplify 0 into 0
2.573 * [backup-simplify]: Simplify 1 into 1
2.574 * [backup-simplify]: Simplify (/ 1 1) into 1
2.574 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.574 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
2.574 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
2.574 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
2.574 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.574 * [taylor]: Taking taylor expansion of im in re
2.574 * [backup-simplify]: Simplify im into im
2.574 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.574 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.574 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.574 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.574 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.574 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.574 * [taylor]: Taking taylor expansion of im in re
2.574 * [backup-simplify]: Simplify im into im
2.574 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.574 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.574 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.575 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.575 * [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)))))
2.575 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
2.575 * [taylor]: Taking taylor expansion of 0.5 in im
2.575 * [backup-simplify]: Simplify 0.5 into 0.5
2.575 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.575 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
2.575 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.575 * [taylor]: Taking taylor expansion of re in im
2.575 * [backup-simplify]: Simplify re into re
2.575 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.575 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.575 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
2.575 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.575 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.575 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.575 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.575 * [taylor]: Taking taylor expansion of im in im
2.575 * [backup-simplify]: Simplify 0 into 0
2.575 * [backup-simplify]: Simplify 1 into 1
2.575 * [backup-simplify]: Simplify (/ 1 1) into 1
2.576 * [backup-simplify]: Simplify (- 1) into -1
2.576 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.576 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.576 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.576 * [taylor]: Taking taylor expansion of im in im
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify 1 into 1
2.576 * [backup-simplify]: Simplify (/ 1 1) into 1
2.576 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.576 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
2.576 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
2.576 * [backup-simplify]: Simplify (- 0) into 0
2.576 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
2.577 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.577 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.577 * [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)))))
2.577 * [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)))))
2.577 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.577 * [backup-simplify]: Simplify (- 0) into 0
2.578 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
2.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.579 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.579 * [backup-simplify]: Simplify (+ 0 0) into 0
2.579 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
2.580 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.580 * [taylor]: Taking taylor expansion of 0 in im
2.580 * [backup-simplify]: Simplify 0 into 0
2.580 * [backup-simplify]: Simplify 0 into 0
2.580 * [backup-simplify]: Simplify (+ 0 0) into 0
2.580 * [backup-simplify]: Simplify (+ 0) into 0
2.581 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0
2.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
2.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.581 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0
2.582 * [backup-simplify]: Simplify (- 0) into 0
2.582 * [backup-simplify]: Simplify (+ 0 0) into 0
2.582 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
2.583 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.583 * [backup-simplify]: Simplify 0 into 0
2.583 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.583 * [backup-simplify]: Simplify (- 0) into 0
2.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.583 * [backup-simplify]: Simplify (- 0) into 0
2.584 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.585 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.585 * [backup-simplify]: Simplify (+ 0 0) into 0
2.586 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.586 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.586 * [taylor]: Taking taylor expansion of 0 in im
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify 0 into 0
2.587 * [backup-simplify]: Simplify (+ 0 0) into 0
2.587 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.587 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
2.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.588 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.588 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
2.589 * [backup-simplify]: Simplify (- 0) into 0
2.589 * [backup-simplify]: Simplify (+ 0 0) into 0
2.589 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.590 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.590 * [backup-simplify]: Simplify 0 into 0
2.590 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.590 * [backup-simplify]: Simplify (- 0) into 0
2.590 * [backup-simplify]: Simplify (- 0) into 0
2.591 * [backup-simplify]: Simplify (- 0) into 0
2.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.591 * [backup-simplify]: Simplify (- 0) into 0
2.592 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.593 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.594 * [backup-simplify]: Simplify (+ 0 0) into 0
2.594 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.595 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0
2.595 * [taylor]: Taking taylor expansion of 0 in im
2.595 * [backup-simplify]: Simplify 0 into 0
2.595 * [backup-simplify]: Simplify 0 into 0
2.595 * [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)))))
2.596 * [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))))
2.596 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0
2.596 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
2.596 * [taylor]: Taking taylor expansion of 0.5 in im
2.596 * [backup-simplify]: Simplify 0.5 into 0.5
2.596 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
2.596 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
2.596 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
2.596 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.596 * [taylor]: Taking taylor expansion of -1 in im
2.596 * [backup-simplify]: Simplify -1 into -1
2.596 * [taylor]: Taking taylor expansion of im in im
2.596 * [backup-simplify]: Simplify 0 into 0
2.596 * [backup-simplify]: Simplify 1 into 1
2.596 * [backup-simplify]: Simplify (/ -1 1) into -1
2.596 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.596 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.596 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.596 * [taylor]: Taking taylor expansion of im in im
2.596 * [backup-simplify]: Simplify 0 into 0
2.596 * [backup-simplify]: Simplify 1 into 1
2.597 * [backup-simplify]: Simplify (/ 1 1) into 1
2.597 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.597 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
2.597 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.597 * [taylor]: Taking taylor expansion of -1 in im
2.597 * [backup-simplify]: Simplify -1 into -1
2.597 * [taylor]: Taking taylor expansion of re in im
2.597 * [backup-simplify]: Simplify re into re
2.597 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.597 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.597 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
2.597 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
2.597 * [taylor]: Taking taylor expansion of 0.5 in re
2.597 * [backup-simplify]: Simplify 0.5 into 0.5
2.597 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
2.597 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
2.597 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
2.597 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.597 * [taylor]: Taking taylor expansion of -1 in re
2.597 * [backup-simplify]: Simplify -1 into -1
2.597 * [taylor]: Taking taylor expansion of im in re
2.597 * [backup-simplify]: Simplify im into im
2.597 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.597 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.597 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.597 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.597 * [taylor]: Taking taylor expansion of im in re
2.597 * [backup-simplify]: Simplify im into im
2.597 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.597 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.597 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
2.597 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.597 * [taylor]: Taking taylor expansion of -1 in re
2.598 * [backup-simplify]: Simplify -1 into -1
2.598 * [taylor]: Taking taylor expansion of re in re
2.598 * [backup-simplify]: Simplify 0 into 0
2.598 * [backup-simplify]: Simplify 1 into 1
2.598 * [backup-simplify]: Simplify (/ -1 1) into -1
2.598 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.598 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
2.598 * [taylor]: Taking taylor expansion of 0.5 in re
2.598 * [backup-simplify]: Simplify 0.5 into 0.5
2.598 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
2.598 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
2.598 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
2.598 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.598 * [taylor]: Taking taylor expansion of -1 in re
2.598 * [backup-simplify]: Simplify -1 into -1
2.598 * [taylor]: Taking taylor expansion of im in re
2.598 * [backup-simplify]: Simplify im into im
2.598 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.598 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.598 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.598 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.598 * [taylor]: Taking taylor expansion of im in re
2.598 * [backup-simplify]: Simplify im into im
2.598 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.598 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.598 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
2.598 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.598 * [taylor]: Taking taylor expansion of -1 in re
2.598 * [backup-simplify]: Simplify -1 into -1
2.598 * [taylor]: Taking taylor expansion of re in re
2.598 * [backup-simplify]: Simplify 0 into 0
2.598 * [backup-simplify]: Simplify 1 into 1
2.599 * [backup-simplify]: Simplify (/ -1 1) into -1
2.599 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.599 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.599 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
2.599 * [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))))
2.599 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
2.599 * [taylor]: Taking taylor expansion of 0.5 in im
2.599 * [backup-simplify]: Simplify 0.5 into 0.5
2.599 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
2.599 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
2.599 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
2.599 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.599 * [taylor]: Taking taylor expansion of -1 in im
2.599 * [backup-simplify]: Simplify -1 into -1
2.599 * [taylor]: Taking taylor expansion of im in im
2.599 * [backup-simplify]: Simplify 0 into 0
2.599 * [backup-simplify]: Simplify 1 into 1
2.600 * [backup-simplify]: Simplify (/ -1 1) into -1
2.600 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.600 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.600 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.600 * [taylor]: Taking taylor expansion of im in im
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify 1 into 1
2.600 * [backup-simplify]: Simplify (/ 1 1) into 1
2.600 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.600 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
2.600 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.600 * [taylor]: Taking taylor expansion of -1 in im
2.600 * [backup-simplify]: Simplify -1 into -1
2.600 * [taylor]: Taking taylor expansion of re in im
2.600 * [backup-simplify]: Simplify re into re
2.600 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.600 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.600 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
2.600 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.601 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
2.601 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
2.601 * [backup-simplify]: Simplify (- 0) into 0
2.601 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
2.601 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
2.601 * [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))))
2.601 * [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))))
2.602 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.602 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.603 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.603 * [backup-simplify]: Simplify (+ 0 0) into 0
2.603 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
2.603 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
2.603 * [taylor]: Taking taylor expansion of 0 in im
2.603 * [backup-simplify]: Simplify 0 into 0
2.604 * [backup-simplify]: Simplify 0 into 0
2.604 * [backup-simplify]: Simplify (+ 0) into 0
2.604 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0
2.604 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
2.605 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.605 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0
2.605 * [backup-simplify]: Simplify (- 0) into 0
2.605 * [backup-simplify]: Simplify (+ 0 0) into 0
2.606 * [backup-simplify]: Simplify (+ 0 0) into 0
2.606 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
2.606 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.607 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.608 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.608 * [backup-simplify]: Simplify (+ 0 0) into 0
2.609 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
2.609 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
2.609 * [taylor]: Taking taylor expansion of 0 in im
2.609 * [backup-simplify]: Simplify 0 into 0
2.609 * [backup-simplify]: Simplify 0 into 0
2.609 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.610 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
2.610 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.611 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.611 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
2.611 * [backup-simplify]: Simplify (- 0) into 0
2.612 * [backup-simplify]: Simplify (+ 0 0) into 0
2.612 * [backup-simplify]: Simplify (+ 0 0) into 0
2.612 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
2.613 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.614 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.615 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.616 * [backup-simplify]: Simplify (+ 0 0) into 0
2.616 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0
2.617 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0
2.617 * [taylor]: Taking taylor expansion of 0 in im
2.617 * [backup-simplify]: Simplify 0 into 0
2.617 * [backup-simplify]: Simplify 0 into 0
2.617 * [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)))
2.618 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
2.618 * [backup-simplify]: Simplify (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) into (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im))))))
2.618 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in (re im) around 0
2.618 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in im
2.618 * [taylor]: Taking taylor expansion of 0.5 in im
2.618 * [backup-simplify]: Simplify 0.5 into 0.5
2.618 * [taylor]: Taking taylor expansion of (* (cos re) (sqrt (+ (exp im) (exp (- im))))) in im
2.618 * [taylor]: Taking taylor expansion of (cos re) in im
2.618 * [taylor]: Taking taylor expansion of re in im
2.618 * [backup-simplify]: Simplify re into re
2.618 * [backup-simplify]: Simplify (cos re) into (cos re)
2.618 * [backup-simplify]: Simplify (sin re) into (sin re)
2.618 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im
2.618 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.618 * [taylor]: Taking taylor expansion of (exp im) in im
2.618 * [taylor]: Taking taylor expansion of im in im
2.618 * [backup-simplify]: Simplify 0 into 0
2.618 * [backup-simplify]: Simplify 1 into 1
2.618 * [backup-simplify]: Simplify (exp 0) into 1
2.618 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.618 * [taylor]: Taking taylor expansion of (- im) in im
2.618 * [taylor]: Taking taylor expansion of im in im
2.618 * [backup-simplify]: Simplify 0 into 0
2.618 * [backup-simplify]: Simplify 1 into 1
2.618 * [backup-simplify]: Simplify (- 0) into 0
2.619 * [backup-simplify]: Simplify (- 1) into -1
2.619 * [backup-simplify]: Simplify (exp 0) into 1
2.619 * [backup-simplify]: Simplify (+ 1 1) into 2
2.619 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
2.620 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.620 * [backup-simplify]: Simplify (- 1) into -1
2.621 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
2.621 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
2.621 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in re
2.621 * [taylor]: Taking taylor expansion of 0.5 in re
2.622 * [backup-simplify]: Simplify 0.5 into 0.5
2.622 * [taylor]: Taking taylor expansion of (* (cos re) (sqrt (+ (exp im) (exp (- im))))) in re
2.622 * [taylor]: Taking taylor expansion of (cos re) in re
2.622 * [taylor]: Taking taylor expansion of re in re
2.622 * [backup-simplify]: Simplify 0 into 0
2.622 * [backup-simplify]: Simplify 1 into 1
2.622 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in re
2.622 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
2.622 * [taylor]: Taking taylor expansion of (exp im) in re
2.622 * [taylor]: Taking taylor expansion of im in re
2.622 * [backup-simplify]: Simplify im into im
2.622 * [backup-simplify]: Simplify (exp im) into (exp im)
2.622 * [taylor]: Taking taylor expansion of (exp (- im)) in re
2.622 * [taylor]: Taking taylor expansion of (- im) in re
2.622 * [taylor]: Taking taylor expansion of im in re
2.622 * [backup-simplify]: Simplify im into im
2.622 * [backup-simplify]: Simplify (- im) into (- im)
2.622 * [backup-simplify]: Simplify (- im) into (- im)
2.622 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
2.622 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
2.622 * [backup-simplify]: Simplify (sqrt (+ (exp im) (exp (- im)))) into (sqrt (+ (exp im) (exp (- im))))
2.623 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
2.623 * [backup-simplify]: Simplify (- im) into (- im)
2.623 * [backup-simplify]: Simplify (- 0) into 0
2.623 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.624 * [backup-simplify]: Simplify (+ 0 0) into 0
2.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp im) (exp (- im)))))) into 0
2.624 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im)))))) in re
2.624 * [taylor]: Taking taylor expansion of 0.5 in re
2.624 * [backup-simplify]: Simplify 0.5 into 0.5
2.624 * [taylor]: Taking taylor expansion of (* (cos re) (sqrt (+ (exp im) (exp (- im))))) in re
2.624 * [taylor]: Taking taylor expansion of (cos re) in re
2.624 * [taylor]: Taking taylor expansion of re in re
2.624 * [backup-simplify]: Simplify 0 into 0
2.624 * [backup-simplify]: Simplify 1 into 1
2.624 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in re
2.624 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
2.624 * [taylor]: Taking taylor expansion of (exp im) in re
2.624 * [taylor]: Taking taylor expansion of im in re
2.624 * [backup-simplify]: Simplify im into im
2.624 * [backup-simplify]: Simplify (exp im) into (exp im)
2.624 * [taylor]: Taking taylor expansion of (exp (- im)) in re
2.625 * [taylor]: Taking taylor expansion of (- im) in re
2.625 * [taylor]: Taking taylor expansion of im in re
2.625 * [backup-simplify]: Simplify im into im
2.625 * [backup-simplify]: Simplify (- im) into (- im)
2.625 * [backup-simplify]: Simplify (- im) into (- im)
2.625 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
2.625 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
2.625 * [backup-simplify]: Simplify (sqrt (+ (exp im) (exp (- im)))) into (sqrt (+ (exp im) (exp (- im))))
2.626 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
2.626 * [backup-simplify]: Simplify (- im) into (- im)
2.626 * [backup-simplify]: Simplify (- 0) into 0
2.627 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.627 * [backup-simplify]: Simplify (+ 0 0) into 0
2.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp im) (exp (- im)))))) into 0
2.628 * [backup-simplify]: Simplify (* 1 (sqrt (+ (exp im) (exp (- im))))) into (sqrt (+ (exp im) (exp (- im))))
2.628 * [backup-simplify]: Simplify (* 0.5 (sqrt (+ (exp im) (exp (- im))))) into (* 0.5 (sqrt (+ (exp im) (exp (- im)))))
2.628 * [taylor]: Taking taylor expansion of (* 0.5 (sqrt (+ (exp im) (exp (- im))))) in im
2.628 * [taylor]: Taking taylor expansion of 0.5 in im
2.628 * [backup-simplify]: Simplify 0.5 into 0.5
2.628 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im
2.628 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.628 * [taylor]: Taking taylor expansion of (exp im) in im
2.628 * [taylor]: Taking taylor expansion of im in im
2.628 * [backup-simplify]: Simplify 0 into 0
2.628 * [backup-simplify]: Simplify 1 into 1
2.628 * [backup-simplify]: Simplify (exp 0) into 1
2.628 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.628 * [taylor]: Taking taylor expansion of (- im) in im
2.628 * [taylor]: Taking taylor expansion of im in im
2.628 * [backup-simplify]: Simplify 0 into 0
2.628 * [backup-simplify]: Simplify 1 into 1
2.629 * [backup-simplify]: Simplify (- 0) into 0
2.629 * [backup-simplify]: Simplify (- 1) into -1
2.629 * [backup-simplify]: Simplify (exp 0) into 1
2.629 * [backup-simplify]: Simplify (+ 1 1) into 2
2.629 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
2.630 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.630 * [backup-simplify]: Simplify (- 1) into -1
2.631 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
2.631 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
2.632 * [backup-simplify]: Simplify (* 0.5 (sqrt 2)) into (* 0.5 (sqrt 2))
2.633 * [backup-simplify]: Simplify (* 0.5 (sqrt 2)) into (* 0.5 (sqrt 2))
2.633 * [backup-simplify]: Simplify (+ 0) into 0
2.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt (+ (exp im) (exp (- im)))))) into 0
2.634 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (sqrt (+ (exp im) (exp (- im)))))) into 0
2.634 * [taylor]: Taking taylor expansion of 0 in im
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (sqrt 2))) into 0
2.634 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.635 * [backup-simplify]: Simplify (- im) into (- im)
2.635 * [backup-simplify]: Simplify (- 0) into 0
2.636 * [backup-simplify]: Simplify (- 0) into 0
2.636 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.637 * [backup-simplify]: Simplify (+ 0 0) into 0
2.637 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp im) (exp (- im)))))) into 0
2.638 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (sqrt (+ (exp im) (exp (- im))))))) into (- (* 1/2 (sqrt (+ (exp im) (exp (- im))))))
2.639 * [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))))))
2.639 * [taylor]: Taking taylor expansion of (- (* 0.25 (sqrt (+ (exp im) (exp (- im)))))) in im
2.639 * [taylor]: Taking taylor expansion of (* 0.25 (sqrt (+ (exp im) (exp (- im))))) in im
2.639 * [taylor]: Taking taylor expansion of 0.25 in im
2.639 * [backup-simplify]: Simplify 0.25 into 0.25
2.639 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im
2.639 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.639 * [taylor]: Taking taylor expansion of (exp im) in im
2.639 * [taylor]: Taking taylor expansion of im in im
2.639 * [backup-simplify]: Simplify 0 into 0
2.639 * [backup-simplify]: Simplify 1 into 1
2.639 * [backup-simplify]: Simplify (exp 0) into 1
2.639 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.639 * [taylor]: Taking taylor expansion of (- im) in im
2.639 * [taylor]: Taking taylor expansion of im in im
2.639 * [backup-simplify]: Simplify 0 into 0
2.639 * [backup-simplify]: Simplify 1 into 1
2.639 * [backup-simplify]: Simplify (- 0) into 0
2.639 * [backup-simplify]: Simplify (- 1) into -1
2.640 * [backup-simplify]: Simplify (exp 0) into 1
2.640 * [backup-simplify]: Simplify (+ 1 1) into 2
2.640 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
2.641 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.641 * [backup-simplify]: Simplify (- 1) into -1
2.641 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
2.642 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
2.643 * [backup-simplify]: Simplify (* 0.25 (sqrt 2)) into (* 0.25 (sqrt 2))
2.644 * [backup-simplify]: Simplify (- (* 0.25 (sqrt 2))) into (- (* 0.25 (sqrt 2)))
2.645 * [backup-simplify]: Simplify (- (* 0.25 (sqrt 2))) into (- (* 0.25 (sqrt 2)))
2.645 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.646 * [backup-simplify]: Simplify (- 1) into -1
2.646 * [backup-simplify]: Simplify (- 0) into 0
2.647 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.648 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
2.650 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
2.652 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1/2 (sqrt 2))) (+ (* 0 0) (* 0 (sqrt 2)))) into (* 0.25 (/ 1 (sqrt 2)))
2.653 * [backup-simplify]: Simplify (* 0.25 (/ 1 (sqrt 2))) into (/ 0.25 (sqrt 2))
2.656 * [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))))
2.656 * [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))))))
2.656 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0
2.656 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im
2.656 * [taylor]: Taking taylor expansion of 0.5 in im
2.656 * [backup-simplify]: Simplify 0.5 into 0.5
2.656 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
2.656 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
2.656 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.656 * [taylor]: Taking taylor expansion of re in im
2.656 * [backup-simplify]: Simplify re into re
2.656 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.656 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.656 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
2.656 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.656 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.656 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.656 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.656 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.656 * [taylor]: Taking taylor expansion of im in im
2.656 * [backup-simplify]: Simplify 0 into 0
2.656 * [backup-simplify]: Simplify 1 into 1
2.657 * [backup-simplify]: Simplify (/ 1 1) into 1
2.657 * [backup-simplify]: Simplify (- 1) into -1
2.657 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.657 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.657 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.657 * [taylor]: Taking taylor expansion of im in im
2.657 * [backup-simplify]: Simplify 0 into 0
2.657 * [backup-simplify]: Simplify 1 into 1
2.657 * [backup-simplify]: Simplify (/ 1 1) into 1
2.657 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.658 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.658 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.658 * [backup-simplify]: Simplify (+ 0 0) into 0
2.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.658 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re
2.659 * [taylor]: Taking taylor expansion of 0.5 in re
2.659 * [backup-simplify]: Simplify 0.5 into 0.5
2.659 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
2.659 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
2.659 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.659 * [taylor]: Taking taylor expansion of re in re
2.659 * [backup-simplify]: Simplify 0 into 0
2.659 * [backup-simplify]: Simplify 1 into 1
2.659 * [backup-simplify]: Simplify (/ 1 1) into 1
2.659 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.659 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
2.659 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
2.659 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
2.659 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
2.659 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.659 * [taylor]: Taking taylor expansion of im in re
2.659 * [backup-simplify]: Simplify im into im
2.660 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.660 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.660 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.660 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.660 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.660 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.660 * [taylor]: Taking taylor expansion of im in re
2.660 * [backup-simplify]: Simplify im into im
2.660 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.660 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.660 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.660 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.661 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.665 * [backup-simplify]: Simplify (- 0) into 0
2.666 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
2.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.667 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.668 * [backup-simplify]: Simplify (+ 0 0) into 0
2.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.668 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re
2.668 * [taylor]: Taking taylor expansion of 0.5 in re
2.668 * [backup-simplify]: Simplify 0.5 into 0.5
2.668 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
2.668 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
2.668 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.668 * [taylor]: Taking taylor expansion of re in re
2.668 * [backup-simplify]: Simplify 0 into 0
2.668 * [backup-simplify]: Simplify 1 into 1
2.668 * [backup-simplify]: Simplify (/ 1 1) into 1
2.668 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.668 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
2.668 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
2.668 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
2.668 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
2.668 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.668 * [taylor]: Taking taylor expansion of im in re
2.668 * [backup-simplify]: Simplify im into im
2.668 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.668 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.668 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.669 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.669 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.669 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.669 * [taylor]: Taking taylor expansion of im in re
2.669 * [backup-simplify]: Simplify im into im
2.669 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.669 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.669 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.669 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.669 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.669 * [backup-simplify]: Simplify (- 0) into 0
2.670 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
2.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.670 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.671 * [backup-simplify]: Simplify (+ 0 0) into 0
2.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.671 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))
2.671 * [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))))))
2.671 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im
2.671 * [taylor]: Taking taylor expansion of 0.5 in im
2.671 * [backup-simplify]: Simplify 0.5 into 0.5
2.671 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
2.671 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
2.671 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.671 * [taylor]: Taking taylor expansion of re in im
2.671 * [backup-simplify]: Simplify re into re
2.671 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.671 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.672 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
2.672 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.672 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.672 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.672 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.672 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.672 * [taylor]: Taking taylor expansion of im in im
2.672 * [backup-simplify]: Simplify 0 into 0
2.672 * [backup-simplify]: Simplify 1 into 1
2.672 * [backup-simplify]: Simplify (/ 1 1) into 1
2.672 * [backup-simplify]: Simplify (- 1) into -1
2.672 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.672 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.672 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.672 * [taylor]: Taking taylor expansion of im in im
2.672 * [backup-simplify]: Simplify 0 into 0
2.672 * [backup-simplify]: Simplify 1 into 1
2.673 * [backup-simplify]: Simplify (/ 1 1) into 1
2.673 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.673 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.673 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.673 * [backup-simplify]: Simplify (+ 0 0) into 0
2.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.674 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
2.674 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
2.674 * [backup-simplify]: Simplify (- 0) into 0
2.674 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
2.674 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))
2.675 * [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))))))
2.675 * [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))))))
2.675 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.676 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.676 * [taylor]: Taking taylor expansion of 0 in im
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify 0 into 0
2.677 * [backup-simplify]: Simplify (+ 0) into 0
2.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0
2.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
2.678 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0
2.679 * [backup-simplify]: Simplify (- 0) into 0
2.679 * [backup-simplify]: Simplify (+ 0 0) into 0
2.680 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.680 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.680 * [backup-simplify]: Simplify 0 into 0
2.680 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.681 * [backup-simplify]: Simplify (- 0) into 0
2.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.681 * [backup-simplify]: Simplify (- 0) into 0
2.683 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.684 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.685 * [backup-simplify]: Simplify (+ 0 0) into 0
2.685 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.686 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.687 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0
2.687 * [taylor]: Taking taylor expansion of 0 in im
2.687 * [backup-simplify]: Simplify 0 into 0
2.687 * [backup-simplify]: Simplify 0 into 0
2.687 * [backup-simplify]: Simplify 0 into 0
2.687 * [backup-simplify]: Simplify (+ 0 0) into 0
2.688 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.689 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.690 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
2.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.691 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.691 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
2.691 * [backup-simplify]: Simplify (- 0) into 0
2.692 * [backup-simplify]: Simplify (+ 0 0) into 0
2.692 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.694 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.694 * [backup-simplify]: Simplify (- 0) into 0
2.695 * [backup-simplify]: Simplify (- 0) into 0
2.695 * [backup-simplify]: Simplify (- 0) into 0
2.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.696 * [backup-simplify]: Simplify (- 0) into 0
2.697 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.699 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.700 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.701 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0
2.703 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
2.703 * [taylor]: Taking taylor expansion of 0 in im
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [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))))))
2.704 * [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))))
2.704 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in (re im) around 0
2.704 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in im
2.704 * [taylor]: Taking taylor expansion of 0.5 in im
2.704 * [backup-simplify]: Simplify 0.5 into 0.5
2.704 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in im
2.704 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im
2.704 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
2.704 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
2.704 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.704 * [taylor]: Taking taylor expansion of -1 in im
2.704 * [backup-simplify]: Simplify -1 into -1
2.704 * [taylor]: Taking taylor expansion of im in im
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 1 into 1
2.705 * [backup-simplify]: Simplify (/ -1 1) into -1
2.705 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.705 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.705 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.705 * [taylor]: Taking taylor expansion of im in im
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify 1 into 1
2.705 * [backup-simplify]: Simplify (/ 1 1) into 1
2.705 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.706 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.706 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im))))
2.706 * [backup-simplify]: Simplify (+ 0 0) into 0
2.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.706 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
2.706 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.707 * [taylor]: Taking taylor expansion of -1 in im
2.707 * [backup-simplify]: Simplify -1 into -1
2.707 * [taylor]: Taking taylor expansion of re in im
2.707 * [backup-simplify]: Simplify re into re
2.707 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.707 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.707 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
2.707 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in re
2.707 * [taylor]: Taking taylor expansion of 0.5 in re
2.707 * [backup-simplify]: Simplify 0.5 into 0.5
2.707 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in re
2.707 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re
2.707 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
2.707 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
2.707 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.707 * [taylor]: Taking taylor expansion of -1 in re
2.707 * [backup-simplify]: Simplify -1 into -1
2.707 * [taylor]: Taking taylor expansion of im in re
2.707 * [backup-simplify]: Simplify im into im
2.707 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.707 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.707 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.707 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.707 * [taylor]: Taking taylor expansion of im in re
2.708 * [backup-simplify]: Simplify im into im
2.708 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.708 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.708 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.708 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im))))
2.708 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.709 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.710 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.710 * [backup-simplify]: Simplify (+ 0 0) into 0
2.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.711 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
2.711 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.711 * [taylor]: Taking taylor expansion of -1 in re
2.711 * [backup-simplify]: Simplify -1 into -1
2.711 * [taylor]: Taking taylor expansion of re in re
2.711 * [backup-simplify]: Simplify 0 into 0
2.711 * [backup-simplify]: Simplify 1 into 1
2.711 * [backup-simplify]: Simplify (/ -1 1) into -1
2.711 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.711 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in re
2.711 * [taylor]: Taking taylor expansion of 0.5 in re
2.711 * [backup-simplify]: Simplify 0.5 into 0.5
2.711 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in re
2.711 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in re
2.711 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
2.711 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
2.711 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.711 * [taylor]: Taking taylor expansion of -1 in re
2.711 * [backup-simplify]: Simplify -1 into -1
2.712 * [taylor]: Taking taylor expansion of im in re
2.712 * [backup-simplify]: Simplify im into im
2.712 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.712 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.712 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.712 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.712 * [taylor]: Taking taylor expansion of im in re
2.712 * [backup-simplify]: Simplify im into im
2.712 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.712 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.712 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.712 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im))))
2.712 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.713 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.714 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.714 * [backup-simplify]: Simplify (+ 0 0) into 0
2.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.715 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
2.715 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.715 * [taylor]: Taking taylor expansion of -1 in re
2.715 * [backup-simplify]: Simplify -1 into -1
2.715 * [taylor]: Taking taylor expansion of re in re
2.715 * [backup-simplify]: Simplify 0 into 0
2.715 * [backup-simplify]: Simplify 1 into 1
2.715 * [backup-simplify]: Simplify (/ -1 1) into -1
2.715 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.716 * [backup-simplify]: Simplify (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) into (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))
2.716 * [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))))
2.716 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))) in im
2.716 * [taylor]: Taking taylor expansion of 0.5 in im
2.716 * [backup-simplify]: Simplify 0.5 into 0.5
2.716 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) in im
2.716 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im
2.716 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
2.716 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
2.716 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.716 * [taylor]: Taking taylor expansion of -1 in im
2.716 * [backup-simplify]: Simplify -1 into -1
2.716 * [taylor]: Taking taylor expansion of im in im
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 1 into 1
2.717 * [backup-simplify]: Simplify (/ -1 1) into -1
2.717 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.717 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.717 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.717 * [taylor]: Taking taylor expansion of im in im
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 1 into 1
2.717 * [backup-simplify]: Simplify (/ 1 1) into 1
2.717 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.718 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.718 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im))))
2.718 * [backup-simplify]: Simplify (+ 0 0) into 0
2.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.718 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
2.718 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.718 * [taylor]: Taking taylor expansion of -1 in im
2.718 * [backup-simplify]: Simplify -1 into -1
2.718 * [taylor]: Taking taylor expansion of re in im
2.719 * [backup-simplify]: Simplify re into re
2.719 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.719 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.719 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
2.719 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
2.719 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
2.719 * [backup-simplify]: Simplify (- 0) into 0
2.719 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
2.720 * [backup-simplify]: Simplify (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))) into (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))
2.720 * [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))))
2.720 * [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))))
2.720 * [backup-simplify]: Simplify (+ (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (* 0 (cos (/ -1 re)))) into 0
2.721 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))))) into 0
2.721 * [taylor]: Taking taylor expansion of 0 in im
2.721 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify 0 into 0
2.722 * [backup-simplify]: Simplify (+ 0) into 0
2.722 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0
2.722 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
2.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.723 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0
2.724 * [backup-simplify]: Simplify (- 0) into 0
2.724 * [backup-simplify]: Simplify (+ 0 0) into 0
2.724 * [backup-simplify]: Simplify (+ (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (* 0 (cos (/ -1 re)))) into 0
2.725 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))))) into 0
2.725 * [backup-simplify]: Simplify 0 into 0
2.725 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.727 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.728 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.728 * [backup-simplify]: Simplify (+ 0 0) into 0
2.729 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.730 * [backup-simplify]: Simplify (+ (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
2.731 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))))) into 0
2.731 * [taylor]: Taking taylor expansion of 0 in im
2.731 * [backup-simplify]: Simplify 0 into 0
2.731 * [backup-simplify]: Simplify 0 into 0
2.731 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.732 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
2.732 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.733 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.734 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
2.734 * [backup-simplify]: Simplify (- 0) into 0
2.734 * [backup-simplify]: Simplify (+ 0 0) into 0
2.734 * [backup-simplify]: Simplify (+ 0 0) into 0
2.735 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.735 * [backup-simplify]: Simplify (+ (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
2.736 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re)))))) into 0
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.737 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.738 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.739 * [backup-simplify]: Simplify (+ 0 0) into 0
2.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.740 * [backup-simplify]: Simplify (+ (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0
2.741 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) (cos (/ -1 re))))))) into 0
2.741 * [taylor]: Taking taylor expansion of 0 in im
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [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)))
2.741 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
2.741 * [backup-simplify]: Simplify (sqrt (+ (exp (- im)) (exp im))) into (sqrt (+ (exp im) (exp (- im))))
2.741 * [approximate]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in (im) around 0
2.741 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im
2.741 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.741 * [taylor]: Taking taylor expansion of (exp im) in im
2.741 * [taylor]: Taking taylor expansion of im in im
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.741 * [backup-simplify]: Simplify (exp 0) into 1
2.741 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.741 * [taylor]: Taking taylor expansion of (- im) in im
2.741 * [taylor]: Taking taylor expansion of im in im
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.742 * [backup-simplify]: Simplify (- 0) into 0
2.742 * [backup-simplify]: Simplify (- 1) into -1
2.742 * [backup-simplify]: Simplify (exp 0) into 1
2.742 * [backup-simplify]: Simplify (+ 1 1) into 2
2.742 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
2.743 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.744 * [backup-simplify]: Simplify (- 1) into -1
2.744 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
2.745 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
2.745 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im
2.745 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.745 * [taylor]: Taking taylor expansion of (exp im) in im
2.745 * [taylor]: Taking taylor expansion of im in im
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 1 into 1
2.745 * [backup-simplify]: Simplify (exp 0) into 1
2.745 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.745 * [taylor]: Taking taylor expansion of (- im) in im
2.745 * [taylor]: Taking taylor expansion of im in im
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 1 into 1
2.745 * [backup-simplify]: Simplify (- 0) into 0
2.746 * [backup-simplify]: Simplify (- 1) into -1
2.746 * [backup-simplify]: Simplify (exp 0) into 1
2.746 * [backup-simplify]: Simplify (+ 1 1) into 2
2.746 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
2.747 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.747 * [backup-simplify]: Simplify (- 1) into -1
2.748 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
2.748 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
2.749 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
2.749 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.750 * [backup-simplify]: Simplify (- 1) into -1
2.750 * [backup-simplify]: Simplify (- 0) into 0
2.751 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.751 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
2.753 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
2.754 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
2.755 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
2.756 * [backup-simplify]: Simplify (- 1) into -1
2.756 * [backup-simplify]: Simplify (- 1) into -1
2.756 * [backup-simplify]: Simplify (- 0) into 0
2.756 * [backup-simplify]: Simplify (- 0) into 0
2.758 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
2.758 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0
2.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0
2.759 * [backup-simplify]: Simplify 0 into 0
2.761 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
2.762 * [backup-simplify]: Simplify (- 1) into -1
2.762 * [backup-simplify]: Simplify (- 1) into -1
2.762 * [backup-simplify]: Simplify (- 0) into 0
2.762 * [backup-simplify]: Simplify (- 1) into -1
2.763 * [backup-simplify]: Simplify (- 0) into 0
2.763 * [backup-simplify]: Simplify (- 0) into 0
2.763 * [backup-simplify]: Simplify (- 0) into 0
2.767 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
2.767 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12
2.773 * [backup-simplify]: Simplify (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
2.779 * [backup-simplify]: Simplify (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
2.787 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow im 4)) (+ (* (/ 1/2 (sqrt 2)) (pow im 2)) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/24 (/ (pow im 4) (sqrt 2))) (* 1/2 (/ (pow im 2) (sqrt 2))))) (* 1/8 (/ (pow im 4) (pow (sqrt 2) 3))))
2.788 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.788 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im) around 0
2.788 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.788 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.788 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.788 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.788 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.788 * [taylor]: Taking taylor expansion of im in im
2.788 * [backup-simplify]: Simplify 0 into 0
2.788 * [backup-simplify]: Simplify 1 into 1
2.788 * [backup-simplify]: Simplify (/ 1 1) into 1
2.789 * [backup-simplify]: Simplify (- 1) into -1
2.789 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.789 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.789 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.789 * [taylor]: Taking taylor expansion of im in im
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify 1 into 1
2.789 * [backup-simplify]: Simplify (/ 1 1) into 1
2.789 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.790 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.790 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.790 * [backup-simplify]: Simplify (+ 0 0) into 0
2.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.790 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.790 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.790 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.791 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.791 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.791 * [taylor]: Taking taylor expansion of im in im
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify 1 into 1
2.791 * [backup-simplify]: Simplify (/ 1 1) into 1
2.791 * [backup-simplify]: Simplify (- 1) into -1
2.791 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.791 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.792 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.792 * [taylor]: Taking taylor expansion of im in im
2.792 * [backup-simplify]: Simplify 0 into 0
2.792 * [backup-simplify]: Simplify 1 into 1
2.796 * [backup-simplify]: Simplify (/ 1 1) into 1
2.797 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.797 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.797 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.798 * [backup-simplify]: Simplify (+ 0 0) into 0
2.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.798 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify (+ 0 0) into 0
2.799 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify (+ 0 0) into 0
2.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify (+ 0 0) into 0
2.801 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.801 * [backup-simplify]: Simplify 0 into 0
2.801 * [backup-simplify]: Simplify (+ 0 0) into 0
2.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.801 * [backup-simplify]: Simplify 0 into 0
2.802 * [backup-simplify]: Simplify (+ 0 0) into 0
2.802 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.802 * [backup-simplify]: Simplify 0 into 0
2.802 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im))))) into (sqrt (+ (exp im) (exp (- im))))
2.803 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im))))
2.803 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0
2.803 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im
2.803 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
2.803 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
2.803 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.803 * [taylor]: Taking taylor expansion of -1 in im
2.803 * [backup-simplify]: Simplify -1 into -1
2.803 * [taylor]: Taking taylor expansion of im in im
2.803 * [backup-simplify]: Simplify 0 into 0
2.803 * [backup-simplify]: Simplify 1 into 1
2.803 * [backup-simplify]: Simplify (/ -1 1) into -1
2.803 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.803 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.803 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.803 * [taylor]: Taking taylor expansion of im in im
2.803 * [backup-simplify]: Simplify 0 into 0
2.803 * [backup-simplify]: Simplify 1 into 1
2.803 * [backup-simplify]: Simplify (/ 1 1) into 1
2.804 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.804 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.804 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im))))
2.804 * [backup-simplify]: Simplify (+ 0 0) into 0
2.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.804 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im
2.804 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
2.804 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
2.804 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.804 * [taylor]: Taking taylor expansion of -1 in im
2.804 * [backup-simplify]: Simplify -1 into -1
2.804 * [taylor]: Taking taylor expansion of im in im
2.804 * [backup-simplify]: Simplify 0 into 0
2.804 * [backup-simplify]: Simplify 1 into 1
2.805 * [backup-simplify]: Simplify (/ -1 1) into -1
2.805 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.805 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.805 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.805 * [taylor]: Taking taylor expansion of im in im
2.805 * [backup-simplify]: Simplify 0 into 0
2.805 * [backup-simplify]: Simplify 1 into 1
2.805 * [backup-simplify]: Simplify (/ 1 1) into 1
2.805 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.805 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.805 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im))))
2.805 * [backup-simplify]: Simplify (+ 0 0) into 0
2.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.806 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im))))
2.806 * [backup-simplify]: Simplify 0 into 0
2.806 * [backup-simplify]: Simplify (+ 0 0) into 0
2.807 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.807 * [backup-simplify]: Simplify 0 into 0
2.807 * [backup-simplify]: Simplify (+ 0 0) into 0
2.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.807 * [backup-simplify]: Simplify 0 into 0
2.808 * [backup-simplify]: Simplify (+ 0 0) into 0
2.808 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.808 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify (+ 0 0) into 0
2.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify (+ 0 0) into 0
2.810 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.810 * [backup-simplify]: Simplify 0 into 0
2.810 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im)))))) into (sqrt (+ (exp (* -1 im)) (exp im)))
2.810 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2)
2.810 * [backup-simplify]: Simplify (sqrt (+ (exp (- im)) (exp im))) into (sqrt (+ (exp im) (exp (- im))))
2.811 * [approximate]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in (im) around 0
2.811 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im
2.811 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.811 * [taylor]: Taking taylor expansion of (exp im) in im
2.811 * [taylor]: Taking taylor expansion of im in im
2.811 * [backup-simplify]: Simplify 0 into 0
2.811 * [backup-simplify]: Simplify 1 into 1
2.811 * [backup-simplify]: Simplify (exp 0) into 1
2.811 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.811 * [taylor]: Taking taylor expansion of (- im) in im
2.811 * [taylor]: Taking taylor expansion of im in im
2.811 * [backup-simplify]: Simplify 0 into 0
2.811 * [backup-simplify]: Simplify 1 into 1
2.811 * [backup-simplify]: Simplify (- 0) into 0
2.811 * [backup-simplify]: Simplify (- 1) into -1
2.811 * [backup-simplify]: Simplify (exp 0) into 1
2.811 * [backup-simplify]: Simplify (+ 1 1) into 2
2.812 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
2.812 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.812 * [backup-simplify]: Simplify (- 1) into -1
2.813 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
2.813 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
2.814 * [taylor]: Taking taylor expansion of (sqrt (+ (exp im) (exp (- im)))) in im
2.814 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.814 * [taylor]: Taking taylor expansion of (exp im) in im
2.814 * [taylor]: Taking taylor expansion of im in im
2.814 * [backup-simplify]: Simplify 0 into 0
2.814 * [backup-simplify]: Simplify 1 into 1
2.814 * [backup-simplify]: Simplify (exp 0) into 1
2.814 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.814 * [taylor]: Taking taylor expansion of (- im) in im
2.814 * [taylor]: Taking taylor expansion of im in im
2.814 * [backup-simplify]: Simplify 0 into 0
2.814 * [backup-simplify]: Simplify 1 into 1
2.814 * [backup-simplify]: Simplify (- 0) into 0
2.814 * [backup-simplify]: Simplify (- 1) into -1
2.814 * [backup-simplify]: Simplify (exp 0) into 1
2.815 * [backup-simplify]: Simplify (+ 1 1) into 2
2.815 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
2.816 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.816 * [backup-simplify]: Simplify (- 1) into -1
2.816 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
2.817 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
2.817 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
2.817 * [backup-simplify]: Simplify 0 into 0
2.818 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.818 * [backup-simplify]: Simplify (- 1) into -1
2.819 * [backup-simplify]: Simplify (- 0) into 0
2.820 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.820 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
2.821 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
2.822 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
2.823 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
2.823 * [backup-simplify]: Simplify (- 1) into -1
2.824 * [backup-simplify]: Simplify (- 1) into -1
2.824 * [backup-simplify]: Simplify (- 0) into 0
2.824 * [backup-simplify]: Simplify (- 0) into 0
2.825 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
2.826 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0
2.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0
2.827 * [backup-simplify]: Simplify 0 into 0
2.829 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
2.829 * [backup-simplify]: Simplify (- 1) into -1
2.829 * [backup-simplify]: Simplify (- 1) into -1
2.829 * [backup-simplify]: Simplify (- 0) into 0
2.830 * [backup-simplify]: Simplify (- 1) into -1
2.830 * [backup-simplify]: Simplify (- 0) into 0
2.830 * [backup-simplify]: Simplify (- 0) into 0
2.830 * [backup-simplify]: Simplify (- 0) into 0
2.833 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
2.833 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12
2.838 * [backup-simplify]: Simplify (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
2.845 * [backup-simplify]: Simplify (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
2.850 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow im 4)) (+ (* (/ 1/2 (sqrt 2)) (pow im 2)) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/24 (/ (pow im 4) (sqrt 2))) (* 1/2 (/ (pow im 2) (sqrt 2))))) (* 1/8 (/ (pow im 4) (pow (sqrt 2) 3))))
2.851 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.851 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im) around 0
2.851 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.851 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.851 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.851 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.851 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.851 * [taylor]: Taking taylor expansion of im in im
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify 1 into 1
2.851 * [backup-simplify]: Simplify (/ 1 1) into 1
2.851 * [backup-simplify]: Simplify (- 1) into -1
2.851 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.851 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.851 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.851 * [taylor]: Taking taylor expansion of im in im
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify 1 into 1
2.852 * [backup-simplify]: Simplify (/ 1 1) into 1
2.852 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.852 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.852 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.852 * [backup-simplify]: Simplify (+ 0 0) into 0
2.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.852 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.852 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.852 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.852 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.853 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.853 * [taylor]: Taking taylor expansion of im in im
2.853 * [backup-simplify]: Simplify 0 into 0
2.853 * [backup-simplify]: Simplify 1 into 1
2.853 * [backup-simplify]: Simplify (/ 1 1) into 1
2.853 * [backup-simplify]: Simplify (- 1) into -1
2.853 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.853 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.853 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.853 * [taylor]: Taking taylor expansion of im in im
2.853 * [backup-simplify]: Simplify 0 into 0
2.853 * [backup-simplify]: Simplify 1 into 1
2.853 * [backup-simplify]: Simplify (/ 1 1) into 1
2.853 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.854 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.854 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.854 * [backup-simplify]: Simplify (+ 0 0) into 0
2.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.854 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.855 * [backup-simplify]: Simplify 0 into 0
2.855 * [backup-simplify]: Simplify (+ 0 0) into 0
2.855 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.855 * [backup-simplify]: Simplify 0 into 0
2.856 * [backup-simplify]: Simplify (+ 0 0) into 0
2.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.856 * [backup-simplify]: Simplify 0 into 0
2.856 * [backup-simplify]: Simplify (+ 0 0) into 0
2.857 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify (+ 0 0) into 0
2.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.858 * [backup-simplify]: Simplify 0 into 0
2.858 * [backup-simplify]: Simplify (+ 0 0) into 0
2.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im))))) into (sqrt (+ (exp im) (exp (- im))))
2.859 * [backup-simplify]: Simplify (sqrt (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im))))
2.859 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0
2.859 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im
2.859 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
2.859 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
2.859 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.859 * [taylor]: Taking taylor expansion of -1 in im
2.859 * [backup-simplify]: Simplify -1 into -1
2.859 * [taylor]: Taking taylor expansion of im in im
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify 1 into 1
2.860 * [backup-simplify]: Simplify (/ -1 1) into -1
2.860 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.860 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.860 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.860 * [taylor]: Taking taylor expansion of im in im
2.860 * [backup-simplify]: Simplify 0 into 0
2.860 * [backup-simplify]: Simplify 1 into 1
2.860 * [backup-simplify]: Simplify (/ 1 1) into 1
2.860 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.860 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.860 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im))))
2.860 * [backup-simplify]: Simplify (+ 0 0) into 0
2.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.861 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) in im
2.861 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
2.861 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
2.861 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.861 * [taylor]: Taking taylor expansion of -1 in im
2.861 * [backup-simplify]: Simplify -1 into -1
2.861 * [taylor]: Taking taylor expansion of im in im
2.861 * [backup-simplify]: Simplify 0 into 0
2.861 * [backup-simplify]: Simplify 1 into 1
2.861 * [backup-simplify]: Simplify (/ -1 1) into -1
2.861 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.861 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.861 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.861 * [taylor]: Taking taylor expansion of im in im
2.861 * [backup-simplify]: Simplify 0 into 0
2.861 * [backup-simplify]: Simplify 1 into 1
2.861 * [backup-simplify]: Simplify (/ 1 1) into 1
2.862 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.862 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.862 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im))))
2.862 * [backup-simplify]: Simplify (+ 0 0) into 0
2.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.862 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))) into (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im))))
2.862 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify (+ 0 0) into 0
2.863 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify (+ 0 0) into 0
2.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.864 * [backup-simplify]: Simplify 0 into 0
2.864 * [backup-simplify]: Simplify (+ 0 0) into 0
2.865 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.865 * [backup-simplify]: Simplify 0 into 0
2.865 * [backup-simplify]: Simplify (+ 0 0) into 0
2.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.866 * [backup-simplify]: Simplify 0 into 0
2.866 * [backup-simplify]: Simplify (+ 0 0) into 0
2.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 im)) (exp (/ 1 im)))))) into 0
2.867 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im)))))) into (sqrt (+ (exp (* -1 im)) (exp im)))
2.868 * * * [progress]: simplifying candidates
2.870 * [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 (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))))
  (* (* 0.5 (cos re)) (* (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im))))))
  (* (* 0.5 (cos re)) (sqrt (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))))
  (* (* 0.5 (cos re)) (sqrt (sqrt (+ (exp (- im)) (exp im)))))
  (* (* 0.5 (cos re)) (sqrt 1))
  (* (* 0.5 (cos re)) (sqrt 1))
  (* (* 0.5 (cos re)) (sqrt (sqrt (+ (exp (- im)) (exp im)))))
  (* (* 0.5 (cos re)) 1)
  (* (cos re) (sqrt (+ (exp (- im)) (exp im))))
  (* (* 0.5 (cos re)) (sqrt (+ (pow (exp (- im)) 3) (pow (exp im) 3))))
  (* (* 0.5 (cos re)) (sqrt (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))))
  (log (sqrt (+ (exp (- im)) (exp im))))
  (exp (sqrt (+ (exp (- im)) (exp im))))
  (* (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im)))))
  (cbrt (sqrt (+ (exp (- im)) (exp im))))
  (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))
  (sqrt (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))))
  (sqrt (cbrt (+ (exp (- im)) (exp im))))
  (sqrt (sqrt (+ (exp (- im)) (exp im))))
  (sqrt (sqrt (+ (exp (- im)) (exp im))))
  (sqrt 1)
  (sqrt (+ (exp (- im)) (exp im)))
  (sqrt 1)
  (sqrt (+ (exp (- im)) (exp im)))
  (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))))
  (sqrt (- (exp (- im)) (exp im)))
  (/ 1 2)
  (sqrt (sqrt (+ (exp (- im)) (exp im))))
  (sqrt (sqrt (+ (exp (- im)) (exp im))))
  (log (sqrt (+ (exp (- im)) (exp im))))
  (exp (sqrt (+ (exp (- im)) (exp im))))
  (* (cbrt (sqrt (+ (exp (- im)) (exp im)))) (cbrt (sqrt (+ (exp (- im)) (exp im)))))
  (cbrt (sqrt (+ (exp (- im)) (exp im))))
  (* (* (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))
  (sqrt (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))))
  (sqrt (cbrt (+ (exp (- im)) (exp im))))
  (sqrt (sqrt (+ (exp (- im)) (exp im))))
  (sqrt (sqrt (+ (exp (- im)) (exp im))))
  (sqrt 1)
  (sqrt (+ (exp (- im)) (exp im)))
  (sqrt 1)
  (sqrt (+ (exp (- im)) (exp im)))
  (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))))
  (sqrt (- (exp (- im)) (exp im)))
  (/ 1 2)
  (sqrt (sqrt (+ (exp (- im)) (exp im))))
  (sqrt (sqrt (+ (exp (- im)) (exp im))))
  (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
  (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))
  (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re)))
  (- (+ (* 0.5 (sqrt 2)) (* 0.25 (/ (pow im 2) (sqrt 2)))) (* 0.25 (* (pow re 2) (sqrt 2))))
  (* 0.5 (* (cos re) (sqrt (+ (exp im) (exp (- im))))))
  (* 0.5 (* (sqrt (+ (exp (* -1 im)) (exp im))) (cos re)))
  (- (+ (sqrt 2) (+ (* 1/24 (/ (pow im 4) (sqrt 2))) (* 1/2 (/ (pow im 2) (sqrt 2))))) (* 1/8 (/ (pow im 4) (pow (sqrt 2) 3))))
  (sqrt (+ (exp im) (exp (- im))))
  (sqrt (+ (exp (* -1 im)) (exp im)))
  (- (+ (sqrt 2) (+ (* 1/24 (/ (pow im 4) (sqrt 2))) (* 1/2 (/ (pow im 2) (sqrt 2))))) (* 1/8 (/ (pow im 4) (pow (sqrt 2) 3))))
  (sqrt (+ (exp im) (exp (- im))))
  (sqrt (+ (exp (* -1 im)) (exp im)))
3.618 * * * [progress]: adding candidates to table
3.964 * [progress]: [Phase 3 of 3] Extracting.
3.964 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))))>)
3.965 * * * [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)
3.965 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (#<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))))>)
3.981 * * * * [regimes]: Trying to branch on (cos re) from (#<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))))>)
3.996 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (#<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))))>)
4.014 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (#<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))))>)
4.036 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))))>)
4.049 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im)))))>)
4.064 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
4.065 * [simplify]: Simplifying:
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
10.859 * [regime-testing]: Baseline error score: 0.009699332729181293
10.862 * [regime-testing]: Oracle error score: 0.008199145205740863
10.868 * [regime-testing]: End program error score: 0.009699332729181293