17.963 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.123 * * * [progress]: [2/2] Setting up program.
0.126 * [progress]: [Phase 2 of 3] Improving.
0.126 * [simplify]: Simplifying:
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
0.126 * [simplify]: Sending expressions to egg_math:
 (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))
1.313 * * [progress]: iteration 1 / 4
1.313 * * * [progress]: picking best candidate
1.317 * * * * [pick]: Picked  #<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))>
1.317 * * * [progress]: localizing error
1.369 * * * [progress]: generating rewritten candidates
1.369 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
1.492 * * * [progress]: generating series expansions
1.492 * * * * [progress]: [ 1 / 1 ] generating series at (2)
1.492 * [backup-simplify]: Simplify (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) into (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))
1.492 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0
1.492 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im
1.492 * [taylor]: Taking taylor expansion of 0.5 in im
1.492 * [backup-simplify]: Simplify 0.5 into 0.5
1.492 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im
1.492 * [taylor]: Taking taylor expansion of (cos re) in im
1.492 * [taylor]: Taking taylor expansion of re in im
1.492 * [backup-simplify]: Simplify re into re
1.492 * [backup-simplify]: Simplify (cos re) into (cos re)
1.493 * [backup-simplify]: Simplify (sin re) into (sin re)
1.493 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
1.493 * [taylor]: Taking taylor expansion of (exp im) in im
1.493 * [taylor]: Taking taylor expansion of im in im
1.493 * [backup-simplify]: Simplify 0 into 0
1.493 * [backup-simplify]: Simplify 1 into 1
1.493 * [backup-simplify]: Simplify (exp 0) into 1
1.493 * [taylor]: Taking taylor expansion of (exp (- im)) in im
1.493 * [taylor]: Taking taylor expansion of (- im) in im
1.493 * [taylor]: Taking taylor expansion of im in im
1.493 * [backup-simplify]: Simplify 0 into 0
1.493 * [backup-simplify]: Simplify 1 into 1
1.494 * [backup-simplify]: Simplify (- 0) into 0
1.494 * [backup-simplify]: Simplify (- 1) into -1
1.494 * [backup-simplify]: Simplify (exp 0) into 1
1.494 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
1.494 * [taylor]: Taking taylor expansion of 0.5 in re
1.494 * [backup-simplify]: Simplify 0.5 into 0.5
1.495 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
1.495 * [taylor]: Taking taylor expansion of (cos re) in re
1.495 * [taylor]: Taking taylor expansion of re in re
1.495 * [backup-simplify]: Simplify 0 into 0
1.495 * [backup-simplify]: Simplify 1 into 1
1.495 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
1.495 * [taylor]: Taking taylor expansion of (exp im) in re
1.495 * [taylor]: Taking taylor expansion of im in re
1.495 * [backup-simplify]: Simplify im into im
1.495 * [backup-simplify]: Simplify (exp im) into (exp im)
1.495 * [taylor]: Taking taylor expansion of (exp (- im)) in re
1.495 * [taylor]: Taking taylor expansion of (- im) in re
1.495 * [taylor]: Taking taylor expansion of im in re
1.495 * [backup-simplify]: Simplify im into im
1.495 * [backup-simplify]: Simplify (- im) into (- im)
1.495 * [backup-simplify]: Simplify (- im) into (- im)
1.495 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
1.495 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
1.495 * [taylor]: Taking taylor expansion of 0.5 in re
1.495 * [backup-simplify]: Simplify 0.5 into 0.5
1.495 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
1.495 * [taylor]: Taking taylor expansion of (cos re) in re
1.495 * [taylor]: Taking taylor expansion of re in re
1.495 * [backup-simplify]: Simplify 0 into 0
1.495 * [backup-simplify]: Simplify 1 into 1
1.495 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
1.495 * [taylor]: Taking taylor expansion of (exp im) in re
1.495 * [taylor]: Taking taylor expansion of im in re
1.495 * [backup-simplify]: Simplify im into im
1.496 * [backup-simplify]: Simplify (exp im) into (exp im)
1.496 * [taylor]: Taking taylor expansion of (exp (- im)) in re
1.496 * [taylor]: Taking taylor expansion of (- im) in re
1.496 * [taylor]: Taking taylor expansion of im in re
1.496 * [backup-simplify]: Simplify im into im
1.496 * [backup-simplify]: Simplify (- im) into (- im)
1.496 * [backup-simplify]: Simplify (- im) into (- im)
1.496 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
1.496 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
1.496 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
1.496 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
1.497 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im
1.497 * [taylor]: Taking taylor expansion of 0.5 in im
1.497 * [backup-simplify]: Simplify 0.5 into 0.5
1.497 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
1.497 * [taylor]: Taking taylor expansion of (exp im) in im
1.497 * [taylor]: Taking taylor expansion of im in im
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 1 into 1
1.497 * [backup-simplify]: Simplify (exp 0) into 1
1.497 * [taylor]: Taking taylor expansion of (exp (- im)) in im
1.497 * [taylor]: Taking taylor expansion of (- im) in im
1.497 * [taylor]: Taking taylor expansion of im in im
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 1 into 1
1.497 * [backup-simplify]: Simplify (- 0) into 0
1.498 * [backup-simplify]: Simplify (- 1) into -1
1.498 * [backup-simplify]: Simplify (exp 0) into 1
1.498 * [backup-simplify]: Simplify (+ 1 1) into 2
1.499 * [backup-simplify]: Simplify (* 0.5 2) into 1.0
1.499 * [backup-simplify]: Simplify 1.0 into 1.0
1.500 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
1.500 * [backup-simplify]: Simplify (- im) into (- im)
1.500 * [backup-simplify]: Simplify (- 0) into 0
1.501 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
1.501 * [backup-simplify]: Simplify (+ 0 0) into 0
1.502 * [backup-simplify]: Simplify (+ 0) into 0
1.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0
1.504 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0
1.504 * [taylor]: Taking taylor expansion of 0 in im
1.504 * [backup-simplify]: Simplify 0 into 0
1.504 * [backup-simplify]: Simplify 0 into 0
1.505 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
1.505 * [backup-simplify]: Simplify (- 1) into -1
1.506 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
1.507 * [backup-simplify]: Simplify (+ 1 -1) into 0
1.507 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0
1.508 * [backup-simplify]: Simplify 0 into 0
1.509 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.509 * [backup-simplify]: Simplify (- im) into (- im)
1.509 * [backup-simplify]: Simplify (- 0) into 0
1.510 * [backup-simplify]: Simplify (- 0) into 0
1.511 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.512 * [backup-simplify]: Simplify (+ 0 0) into 0
1.513 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp im) (exp (- im)))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im)))))
1.514 * [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)))))
1.514 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im
1.514 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im
1.514 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im
1.514 * [taylor]: Taking taylor expansion of 0.25 in im
1.515 * [backup-simplify]: Simplify 0.25 into 0.25
1.515 * [taylor]: Taking taylor expansion of (exp im) in im
1.515 * [taylor]: Taking taylor expansion of im in im
1.515 * [backup-simplify]: Simplify 0 into 0
1.515 * [backup-simplify]: Simplify 1 into 1
1.515 * [backup-simplify]: Simplify (exp 0) into 1
1.515 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im
1.515 * [taylor]: Taking taylor expansion of 0.25 in im
1.515 * [backup-simplify]: Simplify 0.25 into 0.25
1.515 * [taylor]: Taking taylor expansion of (exp (- im)) in im
1.515 * [taylor]: Taking taylor expansion of (- im) in im
1.515 * [taylor]: Taking taylor expansion of im in im
1.515 * [backup-simplify]: Simplify 0 into 0
1.515 * [backup-simplify]: Simplify 1 into 1
1.515 * [backup-simplify]: Simplify (- 0) into 0
1.516 * [backup-simplify]: Simplify (- 1) into -1
1.516 * [backup-simplify]: Simplify (exp 0) into 1
1.516 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
1.517 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
1.517 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5
1.517 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
1.518 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
1.518 * [backup-simplify]: Simplify 0 into 0
1.519 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
1.520 * [backup-simplify]: Simplify (- 1) into -1
1.520 * [backup-simplify]: Simplify (- 0) into 0
1.522 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
1.522 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
1.524 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5
1.524 * [backup-simplify]: Simplify 0.5 into 0.5
1.525 * [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)))
1.525 * [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)))))
1.526 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0
1.526 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
1.526 * [taylor]: Taking taylor expansion of 0.5 in im
1.526 * [backup-simplify]: Simplify 0.5 into 0.5
1.526 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
1.526 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
1.526 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.526 * [taylor]: Taking taylor expansion of re in im
1.526 * [backup-simplify]: Simplify re into re
1.526 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.526 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
1.526 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
1.526 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
1.526 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
1.526 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
1.526 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.526 * [taylor]: Taking taylor expansion of im in im
1.526 * [backup-simplify]: Simplify 0 into 0
1.526 * [backup-simplify]: Simplify 1 into 1
1.527 * [backup-simplify]: Simplify (/ 1 1) into 1
1.527 * [backup-simplify]: Simplify (- 1) into -1
1.527 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
1.527 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
1.527 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.527 * [taylor]: Taking taylor expansion of im in im
1.527 * [backup-simplify]: Simplify 0 into 0
1.527 * [backup-simplify]: Simplify 1 into 1
1.528 * [backup-simplify]: Simplify (/ 1 1) into 1
1.528 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.528 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
1.528 * [taylor]: Taking taylor expansion of 0.5 in re
1.528 * [backup-simplify]: Simplify 0.5 into 0.5
1.528 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
1.528 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
1.528 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.528 * [taylor]: Taking taylor expansion of re in re
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify 1 into 1
1.529 * [backup-simplify]: Simplify (/ 1 1) into 1
1.529 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
1.529 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
1.529 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
1.529 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
1.529 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.529 * [taylor]: Taking taylor expansion of im in re
1.529 * [backup-simplify]: Simplify im into im
1.529 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.529 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.529 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.529 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
1.529 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
1.529 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.529 * [taylor]: Taking taylor expansion of im in re
1.529 * [backup-simplify]: Simplify im into im
1.529 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.529 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.530 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
1.530 * [taylor]: Taking taylor expansion of 0.5 in re
1.530 * [backup-simplify]: Simplify 0.5 into 0.5
1.530 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
1.530 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
1.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re
1.530 * [taylor]: Taking taylor expansion of re in re
1.530 * [backup-simplify]: Simplify 0 into 0
1.530 * [backup-simplify]: Simplify 1 into 1
1.530 * [backup-simplify]: Simplify (/ 1 1) into 1
1.530 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
1.530 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
1.530 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
1.530 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
1.530 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.530 * [taylor]: Taking taylor expansion of im in re
1.530 * [backup-simplify]: Simplify im into im
1.530 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.531 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.531 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.531 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
1.531 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
1.531 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.531 * [taylor]: Taking taylor expansion of im in re
1.531 * [backup-simplify]: Simplify im into im
1.531 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.531 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.531 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
1.532 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
1.532 * [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)))))
1.532 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
1.532 * [taylor]: Taking taylor expansion of 0.5 in im
1.532 * [backup-simplify]: Simplify 0.5 into 0.5
1.532 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
1.532 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
1.532 * [taylor]: Taking taylor expansion of (/ 1 re) in im
1.532 * [taylor]: Taking taylor expansion of re in im
1.532 * [backup-simplify]: Simplify re into re
1.532 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
1.532 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
1.532 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
1.532 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
1.532 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
1.533 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
1.533 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.533 * [taylor]: Taking taylor expansion of im in im
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [backup-simplify]: Simplify 1 into 1
1.533 * [backup-simplify]: Simplify (/ 1 1) into 1
1.533 * [backup-simplify]: Simplify (- 1) into -1
1.534 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
1.534 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
1.534 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.534 * [taylor]: Taking taylor expansion of im in im
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 1 into 1
1.534 * [backup-simplify]: Simplify (/ 1 1) into 1
1.534 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.535 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
1.535 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
1.535 * [backup-simplify]: Simplify (- 0) into 0
1.535 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
1.535 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
1.536 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
1.536 * [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)))))
1.536 * [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)))))
1.536 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
1.537 * [backup-simplify]: Simplify (- 0) into 0
1.538 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
1.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
1.539 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
1.539 * [backup-simplify]: Simplify (+ 0 0) into 0
1.540 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
1.540 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
1.540 * [taylor]: Taking taylor expansion of 0 in im
1.540 * [backup-simplify]: Simplify 0 into 0
1.541 * [backup-simplify]: Simplify 0 into 0
1.541 * [backup-simplify]: Simplify (+ 0 0) into 0
1.541 * [backup-simplify]: Simplify (+ 0) into 0
1.542 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0
1.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
1.543 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.544 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0
1.544 * [backup-simplify]: Simplify (- 0) into 0
1.544 * [backup-simplify]: Simplify (+ 0 0) into 0
1.544 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
1.545 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
1.545 * [backup-simplify]: Simplify 0 into 0
1.545 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.546 * [backup-simplify]: Simplify (- 0) into 0
1.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.546 * [backup-simplify]: Simplify (- 0) into 0
1.548 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.549 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.550 * [backup-simplify]: Simplify (+ 0 0) into 0
1.550 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
1.551 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
1.551 * [taylor]: Taking taylor expansion of 0 in im
1.551 * [backup-simplify]: Simplify 0 into 0
1.551 * [backup-simplify]: Simplify 0 into 0
1.551 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify (+ 0 0) into 0
1.553 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.553 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
1.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
1.554 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.555 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
1.555 * [backup-simplify]: Simplify (- 0) into 0
1.555 * [backup-simplify]: Simplify (+ 0 0) into 0
1.556 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
1.557 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
1.557 * [backup-simplify]: Simplify 0 into 0
1.557 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
1.558 * [backup-simplify]: Simplify (- 0) into 0
1.558 * [backup-simplify]: Simplify (- 0) into 0
1.558 * [backup-simplify]: Simplify (- 0) into 0
1.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.559 * [backup-simplify]: Simplify (- 0) into 0
1.561 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.563 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.563 * [backup-simplify]: Simplify (+ 0 0) into 0
1.564 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
1.565 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0
1.565 * [taylor]: Taking taylor expansion of 0 in im
1.566 * [backup-simplify]: Simplify 0 into 0
1.566 * [backup-simplify]: Simplify 0 into 0
1.566 * [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)))))
1.566 * [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))))
1.566 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0
1.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
1.566 * [taylor]: Taking taylor expansion of 0.5 in im
1.567 * [backup-simplify]: Simplify 0.5 into 0.5
1.567 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
1.567 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
1.567 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
1.567 * [taylor]: Taking taylor expansion of (/ -1 im) in im
1.567 * [taylor]: Taking taylor expansion of -1 in im
1.567 * [backup-simplify]: Simplify -1 into -1
1.567 * [taylor]: Taking taylor expansion of im in im
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify 1 into 1
1.567 * [backup-simplify]: Simplify (/ -1 1) into -1
1.567 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
1.567 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
1.567 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.567 * [taylor]: Taking taylor expansion of im in im
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify 1 into 1
1.568 * [backup-simplify]: Simplify (/ 1 1) into 1
1.568 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.568 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
1.568 * [taylor]: Taking taylor expansion of (/ -1 re) in im
1.568 * [taylor]: Taking taylor expansion of -1 in im
1.568 * [backup-simplify]: Simplify -1 into -1
1.568 * [taylor]: Taking taylor expansion of re in im
1.568 * [backup-simplify]: Simplify re into re
1.568 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
1.568 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
1.568 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
1.568 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
1.568 * [taylor]: Taking taylor expansion of 0.5 in re
1.568 * [backup-simplify]: Simplify 0.5 into 0.5
1.568 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
1.568 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
1.569 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
1.569 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.569 * [taylor]: Taking taylor expansion of -1 in re
1.569 * [backup-simplify]: Simplify -1 into -1
1.569 * [taylor]: Taking taylor expansion of im in re
1.569 * [backup-simplify]: Simplify im into im
1.569 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.569 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
1.569 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
1.569 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.569 * [taylor]: Taking taylor expansion of im in re
1.569 * [backup-simplify]: Simplify im into im
1.569 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.569 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.569 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
1.569 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.569 * [taylor]: Taking taylor expansion of -1 in re
1.569 * [backup-simplify]: Simplify -1 into -1
1.569 * [taylor]: Taking taylor expansion of re in re
1.569 * [backup-simplify]: Simplify 0 into 0
1.569 * [backup-simplify]: Simplify 1 into 1
1.570 * [backup-simplify]: Simplify (/ -1 1) into -1
1.570 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
1.570 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
1.570 * [taylor]: Taking taylor expansion of 0.5 in re
1.570 * [backup-simplify]: Simplify 0.5 into 0.5
1.570 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
1.570 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
1.570 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
1.570 * [taylor]: Taking taylor expansion of (/ -1 im) in re
1.570 * [taylor]: Taking taylor expansion of -1 in re
1.570 * [backup-simplify]: Simplify -1 into -1
1.570 * [taylor]: Taking taylor expansion of im in re
1.570 * [backup-simplify]: Simplify im into im
1.570 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
1.570 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
1.570 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
1.570 * [taylor]: Taking taylor expansion of (/ 1 im) in re
1.570 * [taylor]: Taking taylor expansion of im in re
1.570 * [backup-simplify]: Simplify im into im
1.570 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
1.571 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.571 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
1.571 * [taylor]: Taking taylor expansion of (/ -1 re) in re
1.571 * [taylor]: Taking taylor expansion of -1 in re
1.571 * [backup-simplify]: Simplify -1 into -1
1.571 * [taylor]: Taking taylor expansion of re in re
1.571 * [backup-simplify]: Simplify 0 into 0
1.571 * [backup-simplify]: Simplify 1 into 1
1.571 * [backup-simplify]: Simplify (/ -1 1) into -1
1.571 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
1.571 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
1.572 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
1.572 * [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))))
1.572 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
1.572 * [taylor]: Taking taylor expansion of 0.5 in im
1.572 * [backup-simplify]: Simplify 0.5 into 0.5
1.572 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
1.572 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
1.572 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
1.572 * [taylor]: Taking taylor expansion of (/ -1 im) in im
1.572 * [taylor]: Taking taylor expansion of -1 in im
1.572 * [backup-simplify]: Simplify -1 into -1
1.572 * [taylor]: Taking taylor expansion of im in im
1.572 * [backup-simplify]: Simplify 0 into 0
1.572 * [backup-simplify]: Simplify 1 into 1
1.573 * [backup-simplify]: Simplify (/ -1 1) into -1
1.573 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
1.573 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
1.573 * [taylor]: Taking taylor expansion of (/ 1 im) in im
1.573 * [taylor]: Taking taylor expansion of im in im
1.573 * [backup-simplify]: Simplify 0 into 0
1.573 * [backup-simplify]: Simplify 1 into 1
1.573 * [backup-simplify]: Simplify (/ 1 1) into 1
1.574 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
1.574 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
1.574 * [taylor]: Taking taylor expansion of (/ -1 re) in im
1.574 * [taylor]: Taking taylor expansion of -1 in im
1.574 * [backup-simplify]: Simplify -1 into -1
1.574 * [taylor]: Taking taylor expansion of re in im
1.574 * [backup-simplify]: Simplify re into re
1.574 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
1.574 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
1.574 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
1.574 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
1.574 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
1.574 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
1.574 * [backup-simplify]: Simplify (- 0) into 0
1.574 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
1.575 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
1.575 * [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))))
1.575 * [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))))
1.575 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
1.575 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
1.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
1.576 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
1.576 * [backup-simplify]: Simplify (+ 0 0) into 0
1.576 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
1.577 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
1.577 * [taylor]: Taking taylor expansion of 0 in im
1.577 * [backup-simplify]: Simplify 0 into 0
1.577 * [backup-simplify]: Simplify 0 into 0
1.577 * [backup-simplify]: Simplify (+ 0) into 0
1.577 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0
1.578 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
1.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.578 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0
1.579 * [backup-simplify]: Simplify (- 0) into 0
1.579 * [backup-simplify]: Simplify (+ 0 0) into 0
1.579 * [backup-simplify]: Simplify (+ 0 0) into 0
1.579 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
1.580 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
1.580 * [backup-simplify]: Simplify 0 into 0
1.580 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.581 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.582 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.582 * [backup-simplify]: Simplify (+ 0 0) into 0
1.582 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
1.583 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
1.583 * [taylor]: Taking taylor expansion of 0 in im
1.583 * [backup-simplify]: Simplify 0 into 0
1.583 * [backup-simplify]: Simplify 0 into 0
1.583 * [backup-simplify]: Simplify 0 into 0
1.583 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.584 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
1.584 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
1.585 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
1.585 * [backup-simplify]: Simplify (- 0) into 0
1.585 * [backup-simplify]: Simplify (+ 0 0) into 0
1.586 * [backup-simplify]: Simplify (+ 0 0) into 0
1.586 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
1.587 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
1.587 * [backup-simplify]: Simplify 0 into 0
1.587 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.588 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
1.589 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.589 * [backup-simplify]: Simplify (+ 0 0) into 0
1.590 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0
1.591 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0
1.591 * [taylor]: Taking taylor expansion of 0 in im
1.591 * [backup-simplify]: Simplify 0 into 0
1.591 * [backup-simplify]: Simplify 0 into 0
1.591 * [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)))
1.591 * * * [progress]: simplifying candidates
1.591 * [simplify]: Simplifying:
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
  (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (- im)) (exp im))))
  (+ (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im))))
  (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
  (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
  (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
  (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
  (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
  (* (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
  (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
  (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
  (* (* 0.5 (cos re)) (exp (- im)))
  (* (* 0.5 (cos re)) (exp im))
  (* (exp (- im)) (* 0.5 (cos re)))
  (* (exp im) (* 0.5 (cos re)))
  (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))))
  (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))
  (* (* 0.5 (cos re)) 1)
  (* (* 0.5 (cos re)) 1)
  (* (cos re) (+ (exp (- im)) (exp im)))
  (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3)))
  (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))
  (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
  (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))
  (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re)))
1.592 * [simplify]: Sending expressions to egg_math:
 (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))
 (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))
 (+ (+ (log h2) (log (cos h1))) (log (+ (exp (- h0)) (exp h0))))
 (+ (log (* h2 (cos h1))) (log (+ (exp (- h0)) (exp h0))))
 (log (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))
 (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))
 (* (* (* (* h2 h2) h2) (* (* (cos h1) (cos h1)) (cos h1))) (* (* (+ (exp (- h0)) (exp h0)) (+ (exp (- h0)) (exp h0))) (+ (exp (- h0)) (exp h0))))
 (* (* (* (* h2 (cos h1)) (* h2 (cos h1))) (* h2 (cos h1))) (* (* (+ (exp (- h0)) (exp h0)) (+ (exp (- h0)) (exp h0))) (+ (exp (- h0)) (exp h0))))
 (* (cbrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (cbrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (cbrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))
 (* (* (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))) (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))
 (sqrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))
 (sqrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))
 (* (* h2 (cos h1)) (exp (- h0)))
 (* (* h2 (cos h1)) (exp h0))
 (* (exp (- h0)) (* h2 (cos h1)))
 (* (exp h0) (* h2 (cos h1)))
 (* (* h2 (cos h1)) (* (cbrt (+ (exp (- h0)) (exp h0))) (cbrt (+ (exp (- h0)) (exp h0)))))
 (* (* h2 (cos h1)) (sqrt (+ (exp (- h0)) (exp h0))))
 (* (* h2 (cos h1)) 1)
 (* (* h2 (cos h1)) 1)
 (* (cos h1) (+ (exp (- h0)) (exp h0)))
 (* (* h2 (cos h1)) (+ (pow (exp (- h0)) 3) (pow (exp h0) 3)))
 (* (* h2 (cos h1)) (- (* (exp (- h0)) (exp (- h0))) (* (exp h0) (exp h0))))
 (- (+ (* h2 (pow h0 2)) 1.0) (* h2 (pow h1 2)))
 (* h2 (* (cos h1) (+ (exp h0) (exp (- h0)))))
 (* h2 (* (+ (exp (* -1 h0)) (exp h0)) (cos h1)))
2.195 * * * [progress]: adding candidates to table
2.260 * * [progress]: iteration 2 / 4
2.260 * * * [progress]: picking best candidate
2.265 * * * * [pick]: Picked  #<alt (λ (re im) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))>
2.265 * * * [progress]: localizing error
2.280 * * * [progress]: generating rewritten candidates
2.280 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
2.303 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
2.340 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
2.442 * * * [progress]: generating series expansions
2.442 * * * * [progress]: [ 1 / 3 ] generating series at (2)
2.443 * [backup-simplify]: Simplify (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) into (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))
2.443 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0
2.443 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im
2.443 * [taylor]: Taking taylor expansion of 0.5 in im
2.443 * [backup-simplify]: Simplify 0.5 into 0.5
2.443 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im
2.443 * [taylor]: Taking taylor expansion of (cos re) in im
2.443 * [taylor]: Taking taylor expansion of re in im
2.443 * [backup-simplify]: Simplify re into re
2.443 * [backup-simplify]: Simplify (cos re) into (cos re)
2.443 * [backup-simplify]: Simplify (sin re) into (sin re)
2.443 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.443 * [taylor]: Taking taylor expansion of (exp im) in im
2.443 * [taylor]: Taking taylor expansion of im in im
2.443 * [backup-simplify]: Simplify 0 into 0
2.443 * [backup-simplify]: Simplify 1 into 1
2.443 * [backup-simplify]: Simplify (exp 0) into 1
2.443 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.443 * [taylor]: Taking taylor expansion of (- im) in im
2.443 * [taylor]: Taking taylor expansion of im in im
2.443 * [backup-simplify]: Simplify 0 into 0
2.443 * [backup-simplify]: Simplify 1 into 1
2.444 * [backup-simplify]: Simplify (- 0) into 0
2.444 * [backup-simplify]: Simplify (- 1) into -1
2.444 * [backup-simplify]: Simplify (exp 0) into 1
2.444 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
2.444 * [taylor]: Taking taylor expansion of 0.5 in re
2.444 * [backup-simplify]: Simplify 0.5 into 0.5
2.444 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
2.444 * [taylor]: Taking taylor expansion of (cos re) in re
2.444 * [taylor]: Taking taylor expansion of re in re
2.444 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify 1 into 1
2.444 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
2.444 * [taylor]: Taking taylor expansion of (exp im) in re
2.444 * [taylor]: Taking taylor expansion of im in re
2.444 * [backup-simplify]: Simplify im into im
2.444 * [backup-simplify]: Simplify (exp im) into (exp im)
2.444 * [taylor]: Taking taylor expansion of (exp (- im)) in re
2.444 * [taylor]: Taking taylor expansion of (- im) in re
2.444 * [taylor]: Taking taylor expansion of im in re
2.444 * [backup-simplify]: Simplify im into im
2.444 * [backup-simplify]: Simplify (- im) into (- im)
2.444 * [backup-simplify]: Simplify (- im) into (- im)
2.444 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
2.444 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
2.444 * [taylor]: Taking taylor expansion of 0.5 in re
2.444 * [backup-simplify]: Simplify 0.5 into 0.5
2.444 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
2.444 * [taylor]: Taking taylor expansion of (cos re) in re
2.444 * [taylor]: Taking taylor expansion of re in re
2.444 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify 1 into 1
2.444 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
2.444 * [taylor]: Taking taylor expansion of (exp im) in re
2.444 * [taylor]: Taking taylor expansion of im in re
2.444 * [backup-simplify]: Simplify im into im
2.444 * [backup-simplify]: Simplify (exp im) into (exp im)
2.444 * [taylor]: Taking taylor expansion of (exp (- im)) in re
2.444 * [taylor]: Taking taylor expansion of (- im) in re
2.444 * [taylor]: Taking taylor expansion of im in re
2.445 * [backup-simplify]: Simplify im into im
2.445 * [backup-simplify]: Simplify (- im) into (- im)
2.445 * [backup-simplify]: Simplify (- im) into (- im)
2.445 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
2.445 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
2.445 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
2.445 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
2.445 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im
2.445 * [taylor]: Taking taylor expansion of 0.5 in im
2.445 * [backup-simplify]: Simplify 0.5 into 0.5
2.445 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.445 * [taylor]: Taking taylor expansion of (exp im) in im
2.445 * [taylor]: Taking taylor expansion of im in im
2.445 * [backup-simplify]: Simplify 0 into 0
2.445 * [backup-simplify]: Simplify 1 into 1
2.445 * [backup-simplify]: Simplify (exp 0) into 1
2.445 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.445 * [taylor]: Taking taylor expansion of (- im) in im
2.445 * [taylor]: Taking taylor expansion of im in im
2.445 * [backup-simplify]: Simplify 0 into 0
2.445 * [backup-simplify]: Simplify 1 into 1
2.445 * [backup-simplify]: Simplify (- 0) into 0
2.446 * [backup-simplify]: Simplify (- 1) into -1
2.446 * [backup-simplify]: Simplify (exp 0) into 1
2.446 * [backup-simplify]: Simplify (+ 1 1) into 2
2.446 * [backup-simplify]: Simplify (* 0.5 2) into 1.0
2.446 * [backup-simplify]: Simplify 1.0 into 1.0
2.447 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
2.447 * [backup-simplify]: Simplify (- im) into (- im)
2.447 * [backup-simplify]: Simplify (- 0) into 0
2.448 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.448 * [backup-simplify]: Simplify (+ 0 0) into 0
2.448 * [backup-simplify]: Simplify (+ 0) into 0
2.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0
2.449 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0
2.449 * [taylor]: Taking taylor expansion of 0 in im
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.450 * [backup-simplify]: Simplify (- 1) into -1
2.450 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
2.451 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.451 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0
2.451 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.452 * [backup-simplify]: Simplify (- im) into (- im)
2.452 * [backup-simplify]: Simplify (- 0) into 0
2.452 * [backup-simplify]: Simplify (- 0) into 0
2.453 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.453 * [backup-simplify]: Simplify (+ 0 0) into 0
2.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp im) (exp (- im)))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im)))))
2.455 * [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)))))
2.455 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im
2.455 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im
2.455 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im
2.455 * [taylor]: Taking taylor expansion of 0.25 in im
2.455 * [backup-simplify]: Simplify 0.25 into 0.25
2.455 * [taylor]: Taking taylor expansion of (exp im) in im
2.455 * [taylor]: Taking taylor expansion of im in im
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 1 into 1
2.455 * [backup-simplify]: Simplify (exp 0) into 1
2.455 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im
2.455 * [taylor]: Taking taylor expansion of 0.25 in im
2.455 * [backup-simplify]: Simplify 0.25 into 0.25
2.455 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.455 * [taylor]: Taking taylor expansion of (- im) in im
2.455 * [taylor]: Taking taylor expansion of im in im
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 1 into 1
2.456 * [backup-simplify]: Simplify (- 0) into 0
2.456 * [backup-simplify]: Simplify (- 1) into -1
2.456 * [backup-simplify]: Simplify (exp 0) into 1
2.456 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
2.456 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
2.457 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5
2.457 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.457 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.457 * [backup-simplify]: Simplify 0 into 0
2.458 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.458 * [backup-simplify]: Simplify (- 1) into -1
2.459 * [backup-simplify]: Simplify (- 0) into 0
2.460 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.460 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
2.461 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5
2.461 * [backup-simplify]: Simplify 0.5 into 0.5
2.462 * [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)))
2.462 * [backup-simplify]: Simplify (log (exp (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))
2.462 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0
2.462 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
2.462 * [taylor]: Taking taylor expansion of 0.5 in im
2.462 * [backup-simplify]: Simplify 0.5 into 0.5
2.462 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.462 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
2.462 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.462 * [taylor]: Taking taylor expansion of re in im
2.462 * [backup-simplify]: Simplify re into re
2.462 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.462 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.462 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
2.462 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.462 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.462 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.462 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.462 * [taylor]: Taking taylor expansion of im in im
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify 1 into 1
2.462 * [backup-simplify]: Simplify (/ 1 1) into 1
2.463 * [backup-simplify]: Simplify (- 1) into -1
2.463 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.463 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.463 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.463 * [taylor]: Taking taylor expansion of im in im
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify 1 into 1
2.463 * [backup-simplify]: Simplify (/ 1 1) into 1
2.463 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.463 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
2.463 * [taylor]: Taking taylor expansion of 0.5 in re
2.463 * [backup-simplify]: Simplify 0.5 into 0.5
2.463 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
2.463 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
2.463 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.463 * [taylor]: Taking taylor expansion of re in re
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify 1 into 1
2.464 * [backup-simplify]: Simplify (/ 1 1) into 1
2.464 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.464 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
2.464 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
2.464 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
2.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.464 * [taylor]: Taking taylor expansion of im in re
2.464 * [backup-simplify]: Simplify im into im
2.464 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.464 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.464 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.464 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.464 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.464 * [taylor]: Taking taylor expansion of im in re
2.464 * [backup-simplify]: Simplify im into im
2.464 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.464 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.464 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
2.464 * [taylor]: Taking taylor expansion of 0.5 in re
2.464 * [backup-simplify]: Simplify 0.5 into 0.5
2.464 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
2.464 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
2.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.464 * [taylor]: Taking taylor expansion of re in re
2.464 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify 1 into 1
2.465 * [backup-simplify]: Simplify (/ 1 1) into 1
2.465 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.465 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
2.465 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
2.465 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
2.465 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.465 * [taylor]: Taking taylor expansion of im in re
2.465 * [backup-simplify]: Simplify im into im
2.465 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.465 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.465 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.465 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.465 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.465 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.465 * [taylor]: Taking taylor expansion of im in re
2.465 * [backup-simplify]: Simplify im into im
2.465 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.465 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.465 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.465 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.465 * [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)))))
2.465 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
2.466 * [taylor]: Taking taylor expansion of 0.5 in im
2.466 * [backup-simplify]: Simplify 0.5 into 0.5
2.466 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.466 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
2.466 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.466 * [taylor]: Taking taylor expansion of re in im
2.466 * [backup-simplify]: Simplify re into re
2.466 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.466 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.466 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
2.466 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.466 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.466 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.466 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.466 * [taylor]: Taking taylor expansion of im in im
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify 1 into 1
2.466 * [backup-simplify]: Simplify (/ 1 1) into 1
2.466 * [backup-simplify]: Simplify (- 1) into -1
2.466 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.466 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.466 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.466 * [taylor]: Taking taylor expansion of im in im
2.466 * [backup-simplify]: Simplify 0 into 0
2.467 * [backup-simplify]: Simplify 1 into 1
2.467 * [backup-simplify]: Simplify (/ 1 1) into 1
2.467 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.467 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
2.467 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
2.467 * [backup-simplify]: Simplify (- 0) into 0
2.467 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
2.467 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.467 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.468 * [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)))))
2.468 * [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)))))
2.468 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.468 * [backup-simplify]: Simplify (- 0) into 0
2.469 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
2.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.469 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.470 * [backup-simplify]: Simplify (+ 0 0) into 0
2.470 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
2.470 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.470 * [taylor]: Taking taylor expansion of 0 in im
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify (+ 0 0) into 0
2.471 * [backup-simplify]: Simplify (+ 0) into 0
2.471 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0
2.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
2.472 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.472 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0
2.472 * [backup-simplify]: Simplify (- 0) into 0
2.472 * [backup-simplify]: Simplify (+ 0 0) into 0
2.473 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
2.473 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.473 * [backup-simplify]: Simplify (- 0) into 0
2.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.474 * [backup-simplify]: Simplify (- 0) into 0
2.475 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.476 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.476 * [backup-simplify]: Simplify (+ 0 0) into 0
2.476 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.477 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.477 * [taylor]: Taking taylor expansion of 0 in im
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify (+ 0 0) into 0
2.478 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.478 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
2.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.479 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.479 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
2.479 * [backup-simplify]: Simplify (- 0) into 0
2.479 * [backup-simplify]: Simplify (+ 0 0) into 0
2.480 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.481 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.481 * [backup-simplify]: Simplify (- 0) into 0
2.481 * [backup-simplify]: Simplify (- 0) into 0
2.481 * [backup-simplify]: Simplify (- 0) into 0
2.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.482 * [backup-simplify]: Simplify (- 0) into 0
2.483 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.484 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.484 * [backup-simplify]: Simplify (+ 0 0) into 0
2.485 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.485 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0
2.486 * [taylor]: Taking taylor expansion of 0 in im
2.486 * [backup-simplify]: Simplify 0 into 0
2.486 * [backup-simplify]: Simplify 0 into 0
2.486 * [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)))))
2.486 * [backup-simplify]: Simplify (log (exp (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))
2.486 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0
2.486 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
2.486 * [taylor]: Taking taylor expansion of 0.5 in im
2.486 * [backup-simplify]: Simplify 0.5 into 0.5
2.486 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
2.486 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
2.486 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
2.486 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.486 * [taylor]: Taking taylor expansion of -1 in im
2.486 * [backup-simplify]: Simplify -1 into -1
2.486 * [taylor]: Taking taylor expansion of im in im
2.486 * [backup-simplify]: Simplify 0 into 0
2.486 * [backup-simplify]: Simplify 1 into 1
2.487 * [backup-simplify]: Simplify (/ -1 1) into -1
2.487 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.487 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.487 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.487 * [taylor]: Taking taylor expansion of im in im
2.487 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify 1 into 1
2.487 * [backup-simplify]: Simplify (/ 1 1) into 1
2.487 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.487 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
2.487 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.487 * [taylor]: Taking taylor expansion of -1 in im
2.487 * [backup-simplify]: Simplify -1 into -1
2.487 * [taylor]: Taking taylor expansion of re in im
2.487 * [backup-simplify]: Simplify re into re
2.487 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.487 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.487 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
2.487 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
2.487 * [taylor]: Taking taylor expansion of 0.5 in re
2.487 * [backup-simplify]: Simplify 0.5 into 0.5
2.487 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
2.487 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
2.487 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
2.487 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.487 * [taylor]: Taking taylor expansion of -1 in re
2.487 * [backup-simplify]: Simplify -1 into -1
2.487 * [taylor]: Taking taylor expansion of im in re
2.487 * [backup-simplify]: Simplify im into im
2.487 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.488 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.488 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.488 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.488 * [taylor]: Taking taylor expansion of im in re
2.488 * [backup-simplify]: Simplify im into im
2.488 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.488 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.488 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
2.488 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.488 * [taylor]: Taking taylor expansion of -1 in re
2.488 * [backup-simplify]: Simplify -1 into -1
2.488 * [taylor]: Taking taylor expansion of re in re
2.488 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify 1 into 1
2.488 * [backup-simplify]: Simplify (/ -1 1) into -1
2.488 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.488 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
2.488 * [taylor]: Taking taylor expansion of 0.5 in re
2.488 * [backup-simplify]: Simplify 0.5 into 0.5
2.488 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
2.488 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
2.488 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
2.488 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.488 * [taylor]: Taking taylor expansion of -1 in re
2.488 * [backup-simplify]: Simplify -1 into -1
2.488 * [taylor]: Taking taylor expansion of im in re
2.488 * [backup-simplify]: Simplify im into im
2.488 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.488 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.488 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.488 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.488 * [taylor]: Taking taylor expansion of im in re
2.488 * [backup-simplify]: Simplify im into im
2.488 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.489 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.489 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
2.489 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.489 * [taylor]: Taking taylor expansion of -1 in re
2.489 * [backup-simplify]: Simplify -1 into -1
2.489 * [taylor]: Taking taylor expansion of re in re
2.489 * [backup-simplify]: Simplify 0 into 0
2.489 * [backup-simplify]: Simplify 1 into 1
2.489 * [backup-simplify]: Simplify (/ -1 1) into -1
2.489 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.489 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.489 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
2.489 * [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))))
2.489 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
2.489 * [taylor]: Taking taylor expansion of 0.5 in im
2.489 * [backup-simplify]: Simplify 0.5 into 0.5
2.489 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
2.489 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
2.489 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
2.490 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.490 * [taylor]: Taking taylor expansion of -1 in im
2.490 * [backup-simplify]: Simplify -1 into -1
2.490 * [taylor]: Taking taylor expansion of im in im
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify 1 into 1
2.490 * [backup-simplify]: Simplify (/ -1 1) into -1
2.490 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.490 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.490 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.490 * [taylor]: Taking taylor expansion of im in im
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify 1 into 1
2.490 * [backup-simplify]: Simplify (/ 1 1) into 1
2.490 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.490 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
2.490 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.490 * [taylor]: Taking taylor expansion of -1 in im
2.490 * [backup-simplify]: Simplify -1 into -1
2.490 * [taylor]: Taking taylor expansion of re in im
2.490 * [backup-simplify]: Simplify re into re
2.490 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.491 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.491 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
2.491 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.491 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
2.491 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
2.491 * [backup-simplify]: Simplify (- 0) into 0
2.491 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
2.491 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
2.491 * [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))))
2.491 * [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))))
2.492 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.492 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.493 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.493 * [backup-simplify]: Simplify (+ 0 0) into 0
2.493 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
2.494 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
2.494 * [taylor]: Taking taylor expansion of 0 in im
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify (+ 0) into 0
2.494 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0
2.494 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
2.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.495 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0
2.495 * [backup-simplify]: Simplify (- 0) into 0
2.495 * [backup-simplify]: Simplify (+ 0 0) into 0
2.496 * [backup-simplify]: Simplify (+ 0 0) into 0
2.496 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
2.496 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
2.496 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.497 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.498 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.498 * [backup-simplify]: Simplify (+ 0 0) into 0
2.499 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
2.502 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
2.502 * [taylor]: Taking taylor expansion of 0 in im
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.503 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
2.503 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.504 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.504 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
2.504 * [backup-simplify]: Simplify (- 0) into 0
2.505 * [backup-simplify]: Simplify (+ 0 0) into 0
2.505 * [backup-simplify]: Simplify (+ 0 0) into 0
2.505 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
2.506 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.507 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.508 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.508 * [backup-simplify]: Simplify (+ 0 0) into 0
2.509 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0
2.510 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0
2.510 * [taylor]: Taking taylor expansion of 0 in im
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [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)))
2.510 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
2.510 * [backup-simplify]: Simplify (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) into (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))
2.510 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in (re im) around 0
2.510 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in im
2.510 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im
2.510 * [taylor]: Taking taylor expansion of 0.5 in im
2.510 * [backup-simplify]: Simplify 0.5 into 0.5
2.510 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im
2.510 * [taylor]: Taking taylor expansion of (cos re) in im
2.510 * [taylor]: Taking taylor expansion of re in im
2.510 * [backup-simplify]: Simplify re into re
2.510 * [backup-simplify]: Simplify (cos re) into (cos re)
2.510 * [backup-simplify]: Simplify (sin re) into (sin re)
2.511 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.511 * [taylor]: Taking taylor expansion of (exp im) in im
2.511 * [taylor]: Taking taylor expansion of im in im
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify 1 into 1
2.511 * [backup-simplify]: Simplify (exp 0) into 1
2.511 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.511 * [taylor]: Taking taylor expansion of (- im) in im
2.511 * [taylor]: Taking taylor expansion of im in im
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify 1 into 1
2.511 * [backup-simplify]: Simplify (- 0) into 0
2.511 * [backup-simplify]: Simplify (- 1) into -1
2.511 * [backup-simplify]: Simplify (exp 0) into 1
2.511 * [backup-simplify]: Simplify (* (cos re) 1) into (cos re)
2.511 * [backup-simplify]: Simplify (* (sin re) 0) into 0
2.511 * [backup-simplify]: Simplify (- 0) into 0
2.512 * [backup-simplify]: Simplify (+ (cos re) 0) into (cos re)
2.512 * [backup-simplify]: Simplify (+ 1 1) into 2
2.512 * [backup-simplify]: Simplify (* (cos re) 2) into (* 2 (cos re))
2.512 * [backup-simplify]: Simplify (* 0.5 (* 2 (cos re))) into (* 1.0 (cos re))
2.512 * [backup-simplify]: Simplify (exp (* 1.0 (cos re))) into (exp (* 1.0 (cos re)))
2.512 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re
2.512 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
2.512 * [taylor]: Taking taylor expansion of 0.5 in re
2.512 * [backup-simplify]: Simplify 0.5 into 0.5
2.512 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
2.512 * [taylor]: Taking taylor expansion of (cos re) in re
2.512 * [taylor]: Taking taylor expansion of re in re
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify 1 into 1
2.512 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
2.512 * [taylor]: Taking taylor expansion of (exp im) in re
2.512 * [taylor]: Taking taylor expansion of im in re
2.512 * [backup-simplify]: Simplify im into im
2.512 * [backup-simplify]: Simplify (exp im) into (exp im)
2.512 * [taylor]: Taking taylor expansion of (exp (- im)) in re
2.512 * [taylor]: Taking taylor expansion of (- im) in re
2.512 * [taylor]: Taking taylor expansion of im in re
2.512 * [backup-simplify]: Simplify im into im
2.512 * [backup-simplify]: Simplify (- im) into (- im)
2.512 * [backup-simplify]: Simplify (- im) into (- im)
2.512 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
2.512 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
2.513 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
2.513 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
2.513 * [backup-simplify]: Simplify (exp (* 0.5 (+ (exp im) (exp (- im))))) into (exp (* 0.5 (+ (exp im) (exp (- im)))))
2.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re
2.513 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
2.513 * [taylor]: Taking taylor expansion of 0.5 in re
2.513 * [backup-simplify]: Simplify 0.5 into 0.5
2.513 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
2.513 * [taylor]: Taking taylor expansion of (cos re) in re
2.513 * [taylor]: Taking taylor expansion of re in re
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 1 into 1
2.513 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
2.513 * [taylor]: Taking taylor expansion of (exp im) in re
2.513 * [taylor]: Taking taylor expansion of im in re
2.513 * [backup-simplify]: Simplify im into im
2.513 * [backup-simplify]: Simplify (exp im) into (exp im)
2.513 * [taylor]: Taking taylor expansion of (exp (- im)) in re
2.513 * [taylor]: Taking taylor expansion of (- im) in re
2.513 * [taylor]: Taking taylor expansion of im in re
2.513 * [backup-simplify]: Simplify im into im
2.513 * [backup-simplify]: Simplify (- im) into (- im)
2.513 * [backup-simplify]: Simplify (- im) into (- im)
2.513 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
2.513 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
2.513 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
2.513 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
2.513 * [backup-simplify]: Simplify (exp (* 0.5 (+ (exp im) (exp (- im))))) into (exp (* 0.5 (+ (exp im) (exp (- im)))))
2.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (+ (exp im) (exp (- im))))) in im
2.514 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im
2.514 * [taylor]: Taking taylor expansion of 0.5 in im
2.514 * [backup-simplify]: Simplify 0.5 into 0.5
2.514 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.514 * [taylor]: Taking taylor expansion of (exp im) in im
2.514 * [taylor]: Taking taylor expansion of im in im
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 1 into 1
2.514 * [backup-simplify]: Simplify (exp 0) into 1
2.514 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.514 * [taylor]: Taking taylor expansion of (- im) in im
2.514 * [taylor]: Taking taylor expansion of im in im
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 1 into 1
2.514 * [backup-simplify]: Simplify (- 0) into 0
2.514 * [backup-simplify]: Simplify (- 1) into -1
2.514 * [backup-simplify]: Simplify (exp 0) into 1
2.514 * [backup-simplify]: Simplify (+ 1 1) into 2
2.515 * [backup-simplify]: Simplify (* 0.5 2) into 1.0
2.515 * [backup-simplify]: Simplify (exp 1.0) into (exp 1.0)
2.515 * [backup-simplify]: Simplify (exp 1.0) into (exp 1.0)
2.516 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
2.516 * [backup-simplify]: Simplify (- im) into (- im)
2.516 * [backup-simplify]: Simplify (- 0) into 0
2.516 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.517 * [backup-simplify]: Simplify (+ 0 0) into 0
2.517 * [backup-simplify]: Simplify (+ 0) into 0
2.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0
2.518 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0
2.518 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.518 * [taylor]: Taking taylor expansion of 0 in im
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.519 * [backup-simplify]: Simplify (- 1) into -1
2.520 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
2.520 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0
2.521 * [backup-simplify]: Simplify (* (exp 1.0) (+ (* (/ (pow 0 1) 1)))) into 0
2.521 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.522 * [backup-simplify]: Simplify (- im) into (- im)
2.522 * [backup-simplify]: Simplify (- 0) into 0
2.522 * [backup-simplify]: Simplify (- 0) into 0
2.523 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.524 * [backup-simplify]: Simplify (+ 0 0) into 0
2.524 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp im) (exp (- im)))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im)))))
2.525 * [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)))))
2.526 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) 1) 1)))) into (* -1 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))))
2.526 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))))) in im
2.526 * [taylor]: Taking taylor expansion of -1 in im
2.526 * [backup-simplify]: Simplify -1 into -1
2.526 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im
2.526 * [taylor]: Taking taylor expansion of (exp (* 0.5 (+ (exp im) (exp (- im))))) in im
2.526 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im
2.526 * [taylor]: Taking taylor expansion of 0.5 in im
2.526 * [backup-simplify]: Simplify 0.5 into 0.5
2.526 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.526 * [taylor]: Taking taylor expansion of (exp im) in im
2.526 * [taylor]: Taking taylor expansion of im in im
2.526 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify 1 into 1
2.526 * [backup-simplify]: Simplify (exp 0) into 1
2.526 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.526 * [taylor]: Taking taylor expansion of (- im) in im
2.526 * [taylor]: Taking taylor expansion of im in im
2.526 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify 1 into 1
2.527 * [backup-simplify]: Simplify (- 0) into 0
2.527 * [backup-simplify]: Simplify (- 1) into -1
2.527 * [backup-simplify]: Simplify (exp 0) into 1
2.527 * [backup-simplify]: Simplify (+ 1 1) into 2
2.527 * [backup-simplify]: Simplify (* 0.5 2) into 1.0
2.528 * [backup-simplify]: Simplify (exp 1.0) into (exp 1.0)
2.528 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im
2.528 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im
2.528 * [taylor]: Taking taylor expansion of 0.25 in im
2.528 * [backup-simplify]: Simplify 0.25 into 0.25
2.528 * [taylor]: Taking taylor expansion of (exp im) in im
2.528 * [taylor]: Taking taylor expansion of im in im
2.528 * [backup-simplify]: Simplify 0 into 0
2.528 * [backup-simplify]: Simplify 1 into 1
2.528 * [backup-simplify]: Simplify (exp 0) into 1
2.528 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im
2.528 * [taylor]: Taking taylor expansion of 0.25 in im
2.528 * [backup-simplify]: Simplify 0.25 into 0.25
2.528 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.528 * [taylor]: Taking taylor expansion of (- im) in im
2.528 * [taylor]: Taking taylor expansion of im in im
2.528 * [backup-simplify]: Simplify 0 into 0
2.528 * [backup-simplify]: Simplify 1 into 1
2.528 * [backup-simplify]: Simplify (- 0) into 0
2.528 * [backup-simplify]: Simplify (- 1) into -1
2.528 * [backup-simplify]: Simplify (exp 0) into 1
2.529 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
2.529 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
2.529 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5
2.530 * [backup-simplify]: Simplify (* (exp 1.0) 0.5) into (* 0.5 (exp 1.0))
2.531 * [backup-simplify]: Simplify (* -1 (* 0.5 (exp 1.0))) into (* -0.5 (exp 1.0))
2.531 * [backup-simplify]: Simplify (* -0.5 (exp 1.0)) into (* -0.5 (exp 1.0))
2.531 * [backup-simplify]: Simplify 0 into 0
2.532 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.532 * [backup-simplify]: Simplify (- 1) into -1
2.533 * [backup-simplify]: Simplify (- 0) into 0
2.534 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.534 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
2.535 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5
2.538 * [backup-simplify]: Simplify (* (exp 1.0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0.5 1) 1)))) into (* 0.5 (exp 1.0))
2.539 * [backup-simplify]: Simplify (* 0.5 (exp 1.0)) into (* 0.5 (exp 1.0))
2.541 * [backup-simplify]: Simplify (+ (* (* 0.5 (exp 1.0)) (pow (* im 1) 2)) (+ (* (* -0.5 (exp 1.0)) (pow (* 1 re) 2)) (exp 1.0))) into (- (+ (exp 1.0) (* 0.5 (* (exp 1.0) (pow im 2)))) (* 0.5 (* (exp 1.0) (pow re 2))))
2.541 * [backup-simplify]: Simplify (exp (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
2.541 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0
2.541 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im
2.541 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
2.541 * [taylor]: Taking taylor expansion of 0.5 in im
2.541 * [backup-simplify]: Simplify 0.5 into 0.5
2.541 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.541 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
2.541 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.541 * [taylor]: Taking taylor expansion of re in im
2.541 * [backup-simplify]: Simplify re into re
2.541 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.541 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.541 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
2.541 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.541 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.541 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.541 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.541 * [taylor]: Taking taylor expansion of im in im
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify 1 into 1
2.541 * [backup-simplify]: Simplify (/ 1 1) into 1
2.542 * [backup-simplify]: Simplify (- 1) into -1
2.542 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.542 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.542 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.542 * [taylor]: Taking taylor expansion of im in im
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [backup-simplify]: Simplify (/ 1 1) into 1
2.542 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.542 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
2.542 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
2.543 * [backup-simplify]: Simplify (- 0) into 0
2.543 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
2.543 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.543 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.543 * [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)))))
2.543 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
2.543 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re
2.543 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
2.543 * [taylor]: Taking taylor expansion of 0.5 in re
2.543 * [backup-simplify]: Simplify 0.5 into 0.5
2.543 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
2.543 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
2.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.543 * [taylor]: Taking taylor expansion of re in re
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify 1 into 1
2.544 * [backup-simplify]: Simplify (/ 1 1) into 1
2.544 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.544 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
2.544 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
2.544 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
2.544 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.544 * [taylor]: Taking taylor expansion of im in re
2.544 * [backup-simplify]: Simplify im into im
2.544 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.544 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.544 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.544 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.544 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.544 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.544 * [taylor]: Taking taylor expansion of im in re
2.544 * [backup-simplify]: Simplify im into im
2.544 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.544 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.544 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.544 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.544 * [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)))))
2.545 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
2.545 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re
2.545 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
2.545 * [taylor]: Taking taylor expansion of 0.5 in re
2.545 * [backup-simplify]: Simplify 0.5 into 0.5
2.545 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
2.545 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
2.545 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.545 * [taylor]: Taking taylor expansion of re in re
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 1 into 1
2.545 * [backup-simplify]: Simplify (/ 1 1) into 1
2.545 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.545 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
2.545 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
2.545 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
2.545 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.545 * [taylor]: Taking taylor expansion of im in re
2.545 * [backup-simplify]: Simplify im into im
2.545 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.545 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.545 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.545 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.545 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.545 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.545 * [taylor]: Taking taylor expansion of im in re
2.546 * [backup-simplify]: Simplify im into im
2.546 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.546 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.546 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.546 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.546 * [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)))))
2.546 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
2.546 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im
2.546 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
2.546 * [taylor]: Taking taylor expansion of 0.5 in im
2.546 * [backup-simplify]: Simplify 0.5 into 0.5
2.546 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.546 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
2.546 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.546 * [taylor]: Taking taylor expansion of re in im
2.546 * [backup-simplify]: Simplify re into re
2.546 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.546 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.547 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
2.547 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.547 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.547 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.547 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 1) into 1
2.547 * [backup-simplify]: Simplify (- 1) into -1
2.547 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.547 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.547 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 1) into 1
2.548 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.548 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
2.548 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
2.548 * [backup-simplify]: Simplify (- 0) into 0
2.548 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
2.548 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.548 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.548 * [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)))))
2.549 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
2.549 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
2.549 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.549 * [backup-simplify]: Simplify (- 0) into 0
2.550 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
2.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.550 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.550 * [backup-simplify]: Simplify (+ 0 0) into 0
2.551 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
2.551 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.552 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.552 * [taylor]: Taking taylor expansion of 0 in im
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify (+ 0 0) into 0
2.552 * [backup-simplify]: Simplify (+ 0) into 0
2.553 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0
2.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
2.553 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.553 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0
2.554 * [backup-simplify]: Simplify (- 0) into 0
2.554 * [backup-simplify]: Simplify (+ 0 0) into 0
2.554 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
2.554 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.555 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.555 * [backup-simplify]: Simplify (- 0) into 0
2.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.556 * [backup-simplify]: Simplify (- 0) into 0
2.557 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.558 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.558 * [backup-simplify]: Simplify (+ 0 0) into 0
2.558 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.559 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.560 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.560 * [taylor]: Taking taylor expansion of 0 in im
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify (+ 0 0) into 0
2.561 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.561 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
2.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.562 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.562 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
2.562 * [backup-simplify]: Simplify (- 0) into 0
2.562 * [backup-simplify]: Simplify (+ 0 0) into 0
2.563 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.563 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.564 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.564 * [backup-simplify]: Simplify 0 into 0
2.564 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.565 * [backup-simplify]: Simplify (- 0) into 0
2.565 * [backup-simplify]: Simplify (- 0) into 0
2.565 * [backup-simplify]: Simplify (- 0) into 0
2.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.566 * [backup-simplify]: Simplify (- 0) into 0
2.567 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.568 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.568 * [backup-simplify]: Simplify (+ 0 0) into 0
2.569 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.569 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0
2.570 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.570 * [taylor]: Taking taylor expansion of 0 in im
2.570 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 (/ 1 re))) (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im))))))) into (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))
2.571 * [backup-simplify]: Simplify (exp (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
2.571 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in (re im) around 0
2.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im
2.571 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 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 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
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 in im
2.571 * [backup-simplify]: Simplify -1 into -1
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
2.571 * [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 (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 (cos (/ -1 re)) in im
2.572 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.572 * [taylor]: Taking taylor expansion of -1 in im
2.572 * [backup-simplify]: Simplify -1 into -1
2.572 * [taylor]: Taking taylor expansion of re in im
2.572 * [backup-simplify]: Simplify re into re
2.572 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.572 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.572 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
2.572 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.572 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
2.572 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
2.573 * [backup-simplify]: Simplify (- 0) into 0
2.573 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
2.573 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
2.573 * [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))))
2.573 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
2.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re
2.573 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 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 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in 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 in re
2.573 * [backup-simplify]: Simplify -1 into -1
2.573 * [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 * [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 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
2.574 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.574 * [taylor]: Taking taylor expansion of -1 in re
2.574 * [backup-simplify]: Simplify -1 into -1
2.574 * [taylor]: Taking taylor expansion of re in re
2.574 * [backup-simplify]: Simplify 0 into 0
2.574 * [backup-simplify]: Simplify 1 into 1
2.574 * [backup-simplify]: Simplify (/ -1 1) into -1
2.575 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.575 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.575 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
2.575 * [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))))
2.575 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
2.576 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re
2.576 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
2.576 * [taylor]: Taking taylor expansion of 0.5 in re
2.576 * [backup-simplify]: Simplify 0.5 into 0.5
2.576 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
2.576 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
2.576 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
2.576 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.576 * [taylor]: Taking taylor expansion of -1 in re
2.576 * [backup-simplify]: Simplify -1 into -1
2.576 * [taylor]: Taking taylor expansion of im in re
2.576 * [backup-simplify]: Simplify im into im
2.576 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.576 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.576 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.576 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.576 * [taylor]: Taking taylor expansion of im in re
2.576 * [backup-simplify]: Simplify im into im
2.576 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.576 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.576 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
2.576 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.576 * [taylor]: Taking taylor expansion of -1 in re
2.576 * [backup-simplify]: Simplify -1 into -1
2.576 * [taylor]: Taking taylor expansion of re in re
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify 1 into 1
2.577 * [backup-simplify]: Simplify (/ -1 1) into -1
2.577 * [backup-simplify]: Simplify (cos (/ -1 re)) 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 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
2.578 * [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))))
2.578 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
2.578 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im
2.578 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
2.578 * [taylor]: Taking taylor expansion of 0.5 in im
2.578 * [backup-simplify]: Simplify 0.5 into 0.5
2.578 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
2.578 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
2.578 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
2.578 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.578 * [taylor]: Taking taylor expansion of -1 in im
2.578 * [backup-simplify]: Simplify -1 into -1
2.578 * [taylor]: Taking taylor expansion of im in im
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 1 into 1
2.579 * [backup-simplify]: Simplify (/ -1 1) into -1
2.579 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.579 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.579 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.579 * [taylor]: Taking taylor expansion of im in im
2.579 * [backup-simplify]: Simplify 0 into 0
2.579 * [backup-simplify]: Simplify 1 into 1
2.579 * [backup-simplify]: Simplify (/ 1 1) into 1
2.579 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.579 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
2.579 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.579 * [taylor]: Taking taylor expansion of -1 in im
2.579 * [backup-simplify]: Simplify -1 into -1
2.579 * [taylor]: Taking taylor expansion of re in im
2.580 * [backup-simplify]: Simplify re into re
2.580 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.580 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.580 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
2.580 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.580 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
2.580 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
2.580 * [backup-simplify]: Simplify (- 0) into 0
2.581 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
2.581 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
2.581 * [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))))
2.581 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
2.582 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
2.582 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.583 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.583 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.584 * [backup-simplify]: Simplify (+ 0 0) into 0
2.584 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
2.584 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
2.585 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.585 * [taylor]: Taking taylor expansion of 0 in im
2.585 * [backup-simplify]: Simplify 0 into 0
2.585 * [backup-simplify]: Simplify 0 into 0
2.585 * [backup-simplify]: Simplify (+ 0) into 0
2.586 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0
2.586 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
2.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.586 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0
2.587 * [backup-simplify]: Simplify (- 0) into 0
2.587 * [backup-simplify]: Simplify (+ 0 0) into 0
2.587 * [backup-simplify]: Simplify (+ 0 0) into 0
2.587 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
2.588 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
2.588 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.589 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.590 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.590 * [backup-simplify]: Simplify (+ 0 0) into 0
2.591 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
2.591 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
2.592 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.592 * [taylor]: Taking taylor expansion of 0 in im
2.592 * [backup-simplify]: Simplify 0 into 0
2.592 * [backup-simplify]: Simplify 0 into 0
2.592 * [backup-simplify]: Simplify 0 into 0
2.593 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.593 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
2.594 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.594 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.594 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
2.595 * [backup-simplify]: Simplify (- 0) into 0
2.595 * [backup-simplify]: Simplify (+ 0 0) into 0
2.595 * [backup-simplify]: Simplify (+ 0 0) into 0
2.595 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
2.596 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
2.600 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.601 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.602 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.602 * [backup-simplify]: Simplify (+ 0 0) into 0
2.603 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0
2.604 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0
2.605 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.605 * [taylor]: Taking taylor expansion of 0 in im
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) (cos (/ -1 (/ 1 (- re))))))) into (exp (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))))
2.605 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
2.605 * [backup-simplify]: Simplify (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) into (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))
2.605 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0
2.605 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im
2.605 * [taylor]: Taking taylor expansion of 0.5 in im
2.605 * [backup-simplify]: Simplify 0.5 into 0.5
2.606 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im
2.606 * [taylor]: Taking taylor expansion of (cos re) in im
2.606 * [taylor]: Taking taylor expansion of re in im
2.606 * [backup-simplify]: Simplify re into re
2.606 * [backup-simplify]: Simplify (cos re) into (cos re)
2.606 * [backup-simplify]: Simplify (sin re) into (sin re)
2.606 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.606 * [taylor]: Taking taylor expansion of (exp im) in im
2.606 * [taylor]: Taking taylor expansion of im in im
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 1 into 1
2.606 * [backup-simplify]: Simplify (exp 0) into 1
2.606 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.606 * [taylor]: Taking taylor expansion of (- im) in im
2.606 * [taylor]: Taking taylor expansion of im in im
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 1 into 1
2.606 * [backup-simplify]: Simplify (- 0) into 0
2.606 * [backup-simplify]: Simplify (- 1) into -1
2.606 * [backup-simplify]: Simplify (exp 0) into 1
2.606 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
2.606 * [taylor]: Taking taylor expansion of 0.5 in re
2.606 * [backup-simplify]: Simplify 0.5 into 0.5
2.606 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
2.606 * [taylor]: Taking taylor expansion of (cos re) in re
2.606 * [taylor]: Taking taylor expansion of re in re
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 1 into 1
2.606 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
2.606 * [taylor]: Taking taylor expansion of (exp im) in re
2.606 * [taylor]: Taking taylor expansion of im in re
2.607 * [backup-simplify]: Simplify im into im
2.607 * [backup-simplify]: Simplify (exp im) into (exp im)
2.607 * [taylor]: Taking taylor expansion of (exp (- im)) in re
2.607 * [taylor]: Taking taylor expansion of (- im) in re
2.607 * [taylor]: Taking taylor expansion of im in re
2.607 * [backup-simplify]: Simplify im into im
2.607 * [backup-simplify]: Simplify (- im) into (- im)
2.607 * [backup-simplify]: Simplify (- im) into (- im)
2.607 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
2.607 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
2.607 * [taylor]: Taking taylor expansion of 0.5 in re
2.607 * [backup-simplify]: Simplify 0.5 into 0.5
2.607 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
2.607 * [taylor]: Taking taylor expansion of (cos re) in re
2.607 * [taylor]: Taking taylor expansion of re in re
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 1 into 1
2.607 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
2.607 * [taylor]: Taking taylor expansion of (exp im) in re
2.607 * [taylor]: Taking taylor expansion of im in re
2.607 * [backup-simplify]: Simplify im into im
2.607 * [backup-simplify]: Simplify (exp im) into (exp im)
2.607 * [taylor]: Taking taylor expansion of (exp (- im)) in re
2.607 * [taylor]: Taking taylor expansion of (- im) in re
2.607 * [taylor]: Taking taylor expansion of im in re
2.607 * [backup-simplify]: Simplify im into im
2.607 * [backup-simplify]: Simplify (- im) into (- im)
2.607 * [backup-simplify]: Simplify (- im) into (- im)
2.607 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
2.607 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
2.607 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
2.607 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
2.607 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im
2.607 * [taylor]: Taking taylor expansion of 0.5 in im
2.607 * [backup-simplify]: Simplify 0.5 into 0.5
2.607 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
2.607 * [taylor]: Taking taylor expansion of (exp im) in im
2.607 * [taylor]: Taking taylor expansion of im in im
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 1 into 1
2.608 * [backup-simplify]: Simplify (exp 0) into 1
2.608 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.608 * [taylor]: Taking taylor expansion of (- im) in im
2.608 * [taylor]: Taking taylor expansion of im in im
2.608 * [backup-simplify]: Simplify 0 into 0
2.608 * [backup-simplify]: Simplify 1 into 1
2.608 * [backup-simplify]: Simplify (- 0) into 0
2.608 * [backup-simplify]: Simplify (- 1) into -1
2.608 * [backup-simplify]: Simplify (exp 0) into 1
2.608 * [backup-simplify]: Simplify (+ 1 1) into 2
2.609 * [backup-simplify]: Simplify (* 0.5 2) into 1.0
2.609 * [backup-simplify]: Simplify 1.0 into 1.0
2.609 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
2.609 * [backup-simplify]: Simplify (- im) into (- im)
2.609 * [backup-simplify]: Simplify (- 0) into 0
2.610 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.610 * [backup-simplify]: Simplify (+ 0 0) into 0
2.610 * [backup-simplify]: Simplify (+ 0) into 0
2.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0
2.611 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0
2.611 * [taylor]: Taking taylor expansion of 0 in im
2.611 * [backup-simplify]: Simplify 0 into 0
2.611 * [backup-simplify]: Simplify 0 into 0
2.612 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.612 * [backup-simplify]: Simplify (- 1) into -1
2.613 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
2.613 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.613 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.614 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.615 * [backup-simplify]: Simplify (- im) into (- im)
2.615 * [backup-simplify]: Simplify (- 0) into 0
2.615 * [backup-simplify]: Simplify (- 0) into 0
2.616 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.617 * [backup-simplify]: Simplify (+ 0 0) into 0
2.618 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp im) (exp (- im)))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im)))))
2.619 * [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)))))
2.619 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im
2.619 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im
2.619 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im
2.619 * [taylor]: Taking taylor expansion of 0.25 in im
2.619 * [backup-simplify]: Simplify 0.25 into 0.25
2.619 * [taylor]: Taking taylor expansion of (exp im) in im
2.620 * [taylor]: Taking taylor expansion of im in im
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 1 into 1
2.620 * [backup-simplify]: Simplify (exp 0) into 1
2.620 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im
2.620 * [taylor]: Taking taylor expansion of 0.25 in im
2.620 * [backup-simplify]: Simplify 0.25 into 0.25
2.620 * [taylor]: Taking taylor expansion of (exp (- im)) in im
2.620 * [taylor]: Taking taylor expansion of (- im) in im
2.620 * [taylor]: Taking taylor expansion of im in im
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 1 into 1
2.620 * [backup-simplify]: Simplify (- 0) into 0
2.620 * [backup-simplify]: Simplify (- 1) into -1
2.621 * [backup-simplify]: Simplify (exp 0) into 1
2.621 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
2.621 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
2.622 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5
2.622 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.622 * [backup-simplify]: Simplify (- 0.5) into (- 0.5)
2.622 * [backup-simplify]: Simplify 0 into 0
2.624 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.625 * [backup-simplify]: Simplify (- 1) into -1
2.625 * [backup-simplify]: Simplify (- 0) into 0
2.627 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.627 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
2.629 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5
2.629 * [backup-simplify]: Simplify 0.5 into 0.5
2.630 * [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)))
2.630 * [backup-simplify]: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))
2.630 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0
2.630 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
2.630 * [taylor]: Taking taylor expansion of 0.5 in im
2.630 * [backup-simplify]: Simplify 0.5 into 0.5
2.630 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.630 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
2.630 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.630 * [taylor]: Taking taylor expansion of re in im
2.630 * [backup-simplify]: Simplify re into re
2.630 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.630 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.630 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
2.630 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.630 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.630 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.631 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.631 * [taylor]: Taking taylor expansion of im in im
2.631 * [backup-simplify]: Simplify 0 into 0
2.631 * [backup-simplify]: Simplify 1 into 1
2.631 * [backup-simplify]: Simplify (/ 1 1) into 1
2.631 * [backup-simplify]: Simplify (- 1) into -1
2.631 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.631 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.631 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.632 * [taylor]: Taking taylor expansion of im in im
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 1 into 1
2.632 * [backup-simplify]: Simplify (/ 1 1) into 1
2.632 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.632 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
2.632 * [taylor]: Taking taylor expansion of 0.5 in re
2.632 * [backup-simplify]: Simplify 0.5 into 0.5
2.632 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
2.632 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
2.632 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.632 * [taylor]: Taking taylor expansion of re in re
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 1 into 1
2.633 * [backup-simplify]: Simplify (/ 1 1) into 1
2.633 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.633 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
2.633 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
2.633 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
2.633 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.633 * [taylor]: Taking taylor expansion of im in re
2.633 * [backup-simplify]: Simplify im into im
2.633 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.633 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.633 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.633 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.633 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.633 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.633 * [taylor]: Taking taylor expansion of im in re
2.633 * [backup-simplify]: Simplify im into im
2.633 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.633 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.633 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
2.634 * [taylor]: Taking taylor expansion of 0.5 in re
2.634 * [backup-simplify]: Simplify 0.5 into 0.5
2.634 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
2.634 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
2.634 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.634 * [taylor]: Taking taylor expansion of re in re
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 1 into 1
2.634 * [backup-simplify]: Simplify (/ 1 1) into 1
2.634 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.634 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
2.634 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
2.634 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
2.634 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.634 * [taylor]: Taking taylor expansion of im in re
2.634 * [backup-simplify]: Simplify im into im
2.634 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.634 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.635 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.635 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.635 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.635 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.635 * [taylor]: Taking taylor expansion of im in re
2.635 * [backup-simplify]: Simplify im into im
2.635 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.635 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.635 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.635 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.636 * [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)))))
2.636 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
2.636 * [taylor]: Taking taylor expansion of 0.5 in im
2.636 * [backup-simplify]: Simplify 0.5 into 0.5
2.636 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
2.636 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
2.636 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.636 * [taylor]: Taking taylor expansion of re in im
2.636 * [backup-simplify]: Simplify re into re
2.636 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.636 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
2.636 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
2.636 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
2.636 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
2.636 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
2.636 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.636 * [taylor]: Taking taylor expansion of im in im
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 1 into 1
2.637 * [backup-simplify]: Simplify (/ 1 1) into 1
2.637 * [backup-simplify]: Simplify (- 1) into -1
2.637 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
2.637 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.637 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.637 * [taylor]: Taking taylor expansion of im in im
2.637 * [backup-simplify]: Simplify 0 into 0
2.637 * [backup-simplify]: Simplify 1 into 1
2.638 * [backup-simplify]: Simplify (/ 1 1) into 1
2.638 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.638 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
2.638 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
2.638 * [backup-simplify]: Simplify (- 0) into 0
2.638 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
2.639 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
2.639 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
2.639 * [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)))))
2.639 * [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)))))
2.639 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.640 * [backup-simplify]: Simplify (- 0) into 0
2.641 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
2.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.642 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
2.642 * [backup-simplify]: Simplify (+ 0 0) into 0
2.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
2.643 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.643 * [taylor]: Taking taylor expansion of 0 in im
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [backup-simplify]: Simplify (+ 0 0) into 0
2.644 * [backup-simplify]: Simplify (+ 0) into 0
2.644 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0
2.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
2.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.646 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0
2.646 * [backup-simplify]: Simplify (- 0) into 0
2.646 * [backup-simplify]: Simplify (+ 0 0) into 0
2.647 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
2.647 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.647 * [backup-simplify]: Simplify 0 into 0
2.647 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.648 * [backup-simplify]: Simplify (- 0) into 0
2.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.648 * [backup-simplify]: Simplify (- 0) into 0
2.650 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.651 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.651 * [backup-simplify]: Simplify (+ 0 0) into 0
2.652 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.653 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.653 * [taylor]: Taking taylor expansion of 0 in im
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify (+ 0 0) into 0
2.654 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.655 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
2.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.656 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.656 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
2.657 * [backup-simplify]: Simplify (- 0) into 0
2.657 * [backup-simplify]: Simplify (+ 0 0) into 0
2.658 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
2.658 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.658 * [backup-simplify]: Simplify 0 into 0
2.658 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
2.659 * [backup-simplify]: Simplify (- 0) into 0
2.659 * [backup-simplify]: Simplify (- 0) into 0
2.659 * [backup-simplify]: Simplify (- 0) into 0
2.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.659 * [backup-simplify]: Simplify (- 0) into 0
2.660 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.662 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.662 * [backup-simplify]: Simplify (+ 0 0) into 0
2.662 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
2.663 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0
2.663 * [taylor]: Taking taylor expansion of 0 in im
2.663 * [backup-simplify]: Simplify 0 into 0
2.663 * [backup-simplify]: Simplify 0 into 0
2.663 * [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)))))
2.664 * [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))))
2.664 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0
2.664 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
2.664 * [taylor]: Taking taylor expansion of 0.5 in im
2.664 * [backup-simplify]: Simplify 0.5 into 0.5
2.664 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
2.664 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
2.664 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
2.664 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.664 * [taylor]: Taking taylor expansion of -1 in im
2.664 * [backup-simplify]: Simplify -1 into -1
2.664 * [taylor]: Taking taylor expansion of im in im
2.664 * [backup-simplify]: Simplify 0 into 0
2.664 * [backup-simplify]: Simplify 1 into 1
2.664 * [backup-simplify]: Simplify (/ -1 1) into -1
2.664 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.664 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.664 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.664 * [taylor]: Taking taylor expansion of im in im
2.664 * [backup-simplify]: Simplify 0 into 0
2.664 * [backup-simplify]: Simplify 1 into 1
2.665 * [backup-simplify]: Simplify (/ 1 1) into 1
2.665 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.665 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
2.665 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.665 * [taylor]: Taking taylor expansion of -1 in im
2.665 * [backup-simplify]: Simplify -1 into -1
2.665 * [taylor]: Taking taylor expansion of re in im
2.665 * [backup-simplify]: Simplify re into re
2.665 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.665 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.665 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
2.665 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
2.665 * [taylor]: Taking taylor expansion of 0.5 in re
2.665 * [backup-simplify]: Simplify 0.5 into 0.5
2.665 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
2.665 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
2.665 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
2.665 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.665 * [taylor]: Taking taylor expansion of -1 in re
2.665 * [backup-simplify]: Simplify -1 into -1
2.665 * [taylor]: Taking taylor expansion of im in re
2.665 * [backup-simplify]: Simplify im into im
2.665 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.665 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.665 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.665 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.665 * [taylor]: Taking taylor expansion of im in re
2.665 * [backup-simplify]: Simplify im into im
2.665 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.665 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.665 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
2.665 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.665 * [taylor]: Taking taylor expansion of -1 in re
2.665 * [backup-simplify]: Simplify -1 into -1
2.665 * [taylor]: Taking taylor expansion of re in re
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify 1 into 1
2.666 * [backup-simplify]: Simplify (/ -1 1) into -1
2.666 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.666 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
2.666 * [taylor]: Taking taylor expansion of 0.5 in re
2.666 * [backup-simplify]: Simplify 0.5 into 0.5
2.666 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
2.666 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
2.666 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
2.666 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.666 * [taylor]: Taking taylor expansion of -1 in re
2.666 * [backup-simplify]: Simplify -1 into -1
2.666 * [taylor]: Taking taylor expansion of im in re
2.666 * [backup-simplify]: Simplify im into im
2.666 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.666 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.666 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
2.666 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.666 * [taylor]: Taking taylor expansion of im in re
2.666 * [backup-simplify]: Simplify im into im
2.666 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.666 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
2.666 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
2.666 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.666 * [taylor]: Taking taylor expansion of -1 in re
2.666 * [backup-simplify]: Simplify -1 into -1
2.666 * [taylor]: Taking taylor expansion of re in re
2.666 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify 1 into 1
2.667 * [backup-simplify]: Simplify (/ -1 1) into -1
2.667 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.667 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.667 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
2.667 * [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))))
2.667 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
2.667 * [taylor]: Taking taylor expansion of 0.5 in im
2.667 * [backup-simplify]: Simplify 0.5 into 0.5
2.667 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
2.667 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
2.667 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
2.667 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.667 * [taylor]: Taking taylor expansion of -1 in im
2.667 * [backup-simplify]: Simplify -1 into -1
2.667 * [taylor]: Taking taylor expansion of im in im
2.667 * [backup-simplify]: Simplify 0 into 0
2.667 * [backup-simplify]: Simplify 1 into 1
2.667 * [backup-simplify]: Simplify (/ -1 1) into -1
2.668 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
2.668 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
2.668 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.668 * [taylor]: Taking taylor expansion of im in im
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 (exp (/ 1 im)) into (exp (/ 1 im))
2.668 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
2.668 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.668 * [taylor]: Taking taylor expansion of -1 in im
2.668 * [backup-simplify]: Simplify -1 into -1
2.668 * [taylor]: Taking taylor expansion of re in im
2.668 * [backup-simplify]: Simplify re into re
2.668 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.668 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
2.668 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
2.668 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
2.668 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
2.668 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
2.669 * [backup-simplify]: Simplify (- 0) into 0
2.669 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
2.669 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
2.669 * [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))))
2.669 * [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))))
2.669 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) 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 (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
2.671 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
2.671 * [taylor]: Taking taylor expansion of 0 in im
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify (+ 0) into 0
2.672 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0
2.672 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
2.672 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.673 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0
2.673 * [backup-simplify]: Simplify (- 0) into 0
2.673 * [backup-simplify]: Simplify (+ 0 0) into 0
2.673 * [backup-simplify]: Simplify (+ 0 0) into 0
2.673 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
2.674 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
2.674 * [backup-simplify]: Simplify 0 into 0
2.674 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.675 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.676 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.676 * [backup-simplify]: Simplify (+ 0 0) into 0
2.676 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
2.677 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
2.677 * [taylor]: Taking taylor expansion of 0 in im
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
2.678 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.679 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.679 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 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 (+ 0 0) into 0
2.680 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
2.681 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.682 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
2.683 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.683 * [backup-simplify]: Simplify (+ 0 0) into 0
2.684 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0
2.685 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0
2.685 * [taylor]: Taking taylor expansion of 0 in im
2.685 * [backup-simplify]: Simplify 0 into 0
2.685 * [backup-simplify]: Simplify 0 into 0
2.685 * [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)))
2.685 * * * [progress]: simplifying candidates
2.686 * [simplify]: Simplifying:
  (log (exp (* (* 0.5 (cos re)) (exp (- im)))))
  (log (exp (* (* 0.5 (cos re)) (exp im))))
  (log (exp (* (exp (- im)) (* 0.5 (cos re)))))
  (log (exp (* (exp im) (* 0.5 (cos re)))))
  (log (* (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (log 1)
  (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (log (exp (* 0.5 (cos re))))
  (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (log (exp (* 0.5 (cos re))))
  (log (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (exp (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (* (cbrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (cbrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (cbrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (* (* (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (sqrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (sqrt (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (exp (* 0.5 (cos re)))
  (exp (* (* 0.5 (cos re)) (exp (- im))))
  (exp (* (* 0.5 (cos re)) (exp im)))
  (exp (* (exp (- im)) (* 0.5 (cos re))))
  (exp (* (exp im) (* 0.5 (cos re))))
  (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (exp (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (* (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (* (* (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
  (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (- im)) (exp im))))
  (+ (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im))))
  (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
  (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
  (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
  (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
  (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
  (* (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
  (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
  (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
  (* (* 0.5 (cos re)) (exp (- im)))
  (* (* 0.5 (cos re)) (exp im))
  (* (exp (- im)) (* 0.5 (cos re)))
  (* (exp im) (* 0.5 (cos re)))
  (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))))
  (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))
  (* (* 0.5 (cos re)) 1)
  (* (* 0.5 (cos re)) 1)
  (* (cos re) (+ (exp (- im)) (exp im)))
  (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3)))
  (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))))
  (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
  (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))
  (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re)))
  (- (+ (exp 1.0) (* 0.5 (* (exp 1.0) (pow im 2)))) (* 0.5 (* (exp 1.0) (pow re 2))))
  (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))
  (exp (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))))
  (- (+ (* 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)))
2.686 * [simplify]: Sending expressions to egg_math:
 (log (exp (* (* h2 (cos h1)) (exp (- h0)))))
 (log (exp (* (* h2 (cos h1)) (exp h0))))
 (log (exp (* (exp (- h0)) (* h2 (cos h1)))))
 (log (exp (* (exp h0) (* h2 (cos h1)))))
 (log (* (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))) (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (log 1)
 (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (log (exp (* h2 (cos h1))))
 (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (log (exp (* h2 (cos h1))))
 (log (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (exp (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (* (cbrt (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))) (cbrt (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (cbrt (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (* (* (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))) (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))) (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (sqrt (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (sqrt (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (exp (* h2 (cos h1)))
 (exp (* (* h2 (cos h1)) (exp (- h0))))
 (exp (* (* h2 (cos h1)) (exp h0)))
 (exp (* (exp (- h0)) (* h2 (cos h1))))
 (exp (* (exp h0) (* h2 (cos h1))))
 (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (exp (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (* (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))) (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (* (* (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))) (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))
 (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))
 (+ (+ (log h2) (log (cos h1))) (log (+ (exp (- h0)) (exp h0))))
 (+ (log (* h2 (cos h1))) (log (+ (exp (- h0)) (exp h0))))
 (log (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))
 (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))
 (* (* (* (* h2 h2) h2) (* (* (cos h1) (cos h1)) (cos h1))) (* (* (+ (exp (- h0)) (exp h0)) (+ (exp (- h0)) (exp h0))) (+ (exp (- h0)) (exp h0))))
 (* (* (* (* h2 (cos h1)) (* h2 (cos h1))) (* h2 (cos h1))) (* (* (+ (exp (- h0)) (exp h0)) (+ (exp (- h0)) (exp h0))) (+ (exp (- h0)) (exp h0))))
 (* (cbrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (cbrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (cbrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))
 (* (* (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))) (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))
 (sqrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))
 (sqrt (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))
 (* (* h2 (cos h1)) (exp (- h0)))
 (* (* h2 (cos h1)) (exp h0))
 (* (exp (- h0)) (* h2 (cos h1)))
 (* (exp h0) (* h2 (cos h1)))
 (* (* h2 (cos h1)) (* (cbrt (+ (exp (- h0)) (exp h0))) (cbrt (+ (exp (- h0)) (exp h0)))))
 (* (* h2 (cos h1)) (sqrt (+ (exp (- h0)) (exp h0))))
 (* (* h2 (cos h1)) 1)
 (* (* h2 (cos h1)) 1)
 (* (cos h1) (+ (exp (- h0)) (exp h0)))
 (* (* h2 (cos h1)) (+ (pow (exp (- h0)) 3) (pow (exp h0) 3)))
 (* (* h2 (cos h1)) (- (* (exp (- h0)) (exp (- h0))) (* (exp h0) (exp h0))))
 (- (+ (* h2 (pow h0 2)) 1.0) (* h2 (pow h1 2)))
 (* h2 (* (cos h1) (+ (exp h0) (exp (- h0)))))
 (* h2 (* (+ (exp (* -1 h0)) (exp h0)) (cos h1)))
 (- (+ (exp 1.0) (* h2 (* (exp 1.0) (pow h0 2)))) (* h2 (* (exp 1.0) (pow h1 2))))
 (exp (* h2 (* (cos h1) (+ (exp h0) (exp (- h0))))))
 (exp (* h2 (* (+ (exp (* -1 h0)) (exp h0)) (cos h1))))
 (- (+ (* h2 (pow h0 2)) 1.0) (* h2 (pow h1 2)))
 (* h2 (* (cos h1) (+ (exp h0) (exp (- h0)))))
 (* h2 (* (+ (exp (* -1 h0)) (exp h0)) (cos h1)))
3.437 * * * [progress]: adding candidates to table
3.623 * * [progress]: iteration 3 / 4
3.623 * * * [progress]: picking best candidate
3.628 * * * * [pick]: Picked  #<alt (λ (re im) (+ (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))>
3.628 * * * [progress]: localizing error
3.656 * * * [progress]: generating rewritten candidates
3.656 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.667 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
3.678 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
3.712 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
3.746 * * * [progress]: generating series expansions
3.746 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.747 * [backup-simplify]: Simplify (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) into (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))))
3.747 * [approximate]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))))) in (re im) around 0
3.747 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))))) in im
3.747 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))) in im
3.747 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in im
3.747 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im
3.747 * [taylor]: Taking taylor expansion of 0.5 in im
3.747 * [backup-simplify]: Simplify 0.5 into 0.5
3.747 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im
3.747 * [taylor]: Taking taylor expansion of (cos re) in im
3.747 * [taylor]: Taking taylor expansion of re in im
3.747 * [backup-simplify]: Simplify re into re
3.747 * [backup-simplify]: Simplify (cos re) into (cos re)
3.747 * [backup-simplify]: Simplify (sin re) into (sin re)
3.747 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
3.747 * [taylor]: Taking taylor expansion of (exp im) in im
3.747 * [taylor]: Taking taylor expansion of im in im
3.747 * [backup-simplify]: Simplify 0 into 0
3.747 * [backup-simplify]: Simplify 1 into 1
3.747 * [backup-simplify]: Simplify (exp 0) into 1
3.747 * [taylor]: Taking taylor expansion of (exp (- im)) in im
3.747 * [taylor]: Taking taylor expansion of (- im) in im
3.747 * [taylor]: Taking taylor expansion of im in im
3.747 * [backup-simplify]: Simplify 0 into 0
3.747 * [backup-simplify]: Simplify 1 into 1
3.748 * [backup-simplify]: Simplify (- 0) into 0
3.749 * [backup-simplify]: Simplify (- 1) into -1
3.749 * [backup-simplify]: Simplify (exp 0) into 1
3.749 * [backup-simplify]: Simplify (* (cos re) 1) into (cos re)
3.749 * [backup-simplify]: Simplify (* (sin re) 0) into 0
3.749 * [backup-simplify]: Simplify (- 0) into 0
3.749 * [backup-simplify]: Simplify (+ (cos re) 0) into (cos re)
3.750 * [backup-simplify]: Simplify (+ 1 1) into 2
3.750 * [backup-simplify]: Simplify (* (cos re) 2) into (* 2 (cos re))
3.750 * [backup-simplify]: Simplify (* 0.5 (* 2 (cos re))) into (* 1.0 (cos re))
3.750 * [backup-simplify]: Simplify (exp (* 1.0 (cos re))) into (exp (* 1.0 (cos re)))
3.750 * [backup-simplify]: Simplify (sqrt (exp (* 1.0 (cos re)))) into (sqrt (exp (* 1.0 (cos re))))
3.751 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
3.752 * [backup-simplify]: Simplify (- 1) into -1
3.753 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
3.753 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.753 * [backup-simplify]: Simplify (+ 0) into 0
3.754 * [backup-simplify]: Simplify (+ (* (cos re) 0) (* 0 1)) into 0
3.755 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.756 * [backup-simplify]: Simplify (+ (* (sin re) 0) (* 0 0)) into 0
3.756 * [backup-simplify]: Simplify (- 0) into 0
3.756 * [backup-simplify]: Simplify (+ 0 0) into 0
3.757 * [backup-simplify]: Simplify (+ (* (cos re) 0) (* 0 2)) into 0
3.757 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* 2 (cos re)))) into 0
3.758 * [backup-simplify]: Simplify (* (exp (* 1.0 (cos re))) (+ (* (/ (pow 0 1) 1)))) into 0
3.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 1.0 (cos re)))))) into 0
3.758 * [backup-simplify]: Simplify (log (sqrt (exp (* 1.0 (cos re))))) into (log (sqrt (exp (* 1.0 (cos re)))))
3.759 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))))) in re
3.759 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))) in re
3.759 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re
3.759 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
3.759 * [taylor]: Taking taylor expansion of 0.5 in re
3.759 * [backup-simplify]: Simplify 0.5 into 0.5
3.759 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
3.759 * [taylor]: Taking taylor expansion of (cos re) in re
3.759 * [taylor]: Taking taylor expansion of re in re
3.759 * [backup-simplify]: Simplify 0 into 0
3.759 * [backup-simplify]: Simplify 1 into 1
3.759 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
3.759 * [taylor]: Taking taylor expansion of (exp im) in re
3.759 * [taylor]: Taking taylor expansion of im in re
3.759 * [backup-simplify]: Simplify im into im
3.759 * [backup-simplify]: Simplify (exp im) into (exp im)
3.759 * [taylor]: Taking taylor expansion of (exp (- im)) in re
3.759 * [taylor]: Taking taylor expansion of (- im) in re
3.759 * [taylor]: Taking taylor expansion of im in re
3.759 * [backup-simplify]: Simplify im into im
3.759 * [backup-simplify]: Simplify (- im) into (- im)
3.759 * [backup-simplify]: Simplify (- im) into (- im)
3.759 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
3.759 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
3.760 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
3.760 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
3.760 * [backup-simplify]: Simplify (exp (* 0.5 (+ (exp im) (exp (- im))))) into (exp (* 0.5 (+ (exp im) (exp (- im)))))
3.760 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))) into (sqrt (exp (* 0.5 (+ (exp im) (exp (- im))))))
3.761 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
3.761 * [backup-simplify]: Simplify (- im) into (- im)
3.761 * [backup-simplify]: Simplify (- 0) into 0
3.762 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
3.762 * [backup-simplify]: Simplify (+ 0 0) into 0
3.763 * [backup-simplify]: Simplify (+ 0) into 0
3.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0
3.764 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0
3.765 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))))) into 0
3.765 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (+ (exp im) (exp (- im))))))) into (log (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))))
3.765 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))))) in re
3.765 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))) in re
3.765 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re
3.765 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
3.765 * [taylor]: Taking taylor expansion of 0.5 in re
3.765 * [backup-simplify]: Simplify 0.5 into 0.5
3.765 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
3.765 * [taylor]: Taking taylor expansion of (cos re) in re
3.765 * [taylor]: Taking taylor expansion of re in re
3.765 * [backup-simplify]: Simplify 0 into 0
3.765 * [backup-simplify]: Simplify 1 into 1
3.766 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
3.766 * [taylor]: Taking taylor expansion of (exp im) in re
3.766 * [taylor]: Taking taylor expansion of im in re
3.766 * [backup-simplify]: Simplify im into im
3.766 * [backup-simplify]: Simplify (exp im) into (exp im)
3.766 * [taylor]: Taking taylor expansion of (exp (- im)) in re
3.766 * [taylor]: Taking taylor expansion of (- im) in re
3.766 * [taylor]: Taking taylor expansion of im in re
3.766 * [backup-simplify]: Simplify im into im
3.766 * [backup-simplify]: Simplify (- im) into (- im)
3.766 * [backup-simplify]: Simplify (- im) into (- im)
3.766 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
3.766 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
3.766 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
3.766 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
3.766 * [backup-simplify]: Simplify (exp (* 0.5 (+ (exp im) (exp (- im))))) into (exp (* 0.5 (+ (exp im) (exp (- im)))))
3.767 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))) into (sqrt (exp (* 0.5 (+ (exp im) (exp (- im))))))
3.767 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
3.768 * [backup-simplify]: Simplify (- im) into (- im)
3.768 * [backup-simplify]: Simplify (- 0) into 0
3.769 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
3.769 * [backup-simplify]: Simplify (+ 0 0) into 0
3.769 * [backup-simplify]: Simplify (+ 0) into 0
3.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0
3.771 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0
3.772 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))))) into 0
3.772 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (+ (exp im) (exp (- im))))))) into (log (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))))
3.772 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (+ (exp im) (exp (- im))))))) in im
3.772 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))) in im
3.772 * [taylor]: Taking taylor expansion of (exp (* 0.5 (+ (exp im) (exp (- im))))) in im
3.772 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im
3.772 * [taylor]: Taking taylor expansion of 0.5 in im
3.772 * [backup-simplify]: Simplify 0.5 into 0.5
3.772 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
3.772 * [taylor]: Taking taylor expansion of (exp im) in im
3.772 * [taylor]: Taking taylor expansion of im in im
3.772 * [backup-simplify]: Simplify 0 into 0
3.772 * [backup-simplify]: Simplify 1 into 1
3.773 * [backup-simplify]: Simplify (exp 0) into 1
3.773 * [taylor]: Taking taylor expansion of (exp (- im)) in im
3.773 * [taylor]: Taking taylor expansion of (- im) in im
3.773 * [taylor]: Taking taylor expansion of im in im
3.773 * [backup-simplify]: Simplify 0 into 0
3.773 * [backup-simplify]: Simplify 1 into 1
3.773 * [backup-simplify]: Simplify (- 0) into 0
3.773 * [backup-simplify]: Simplify (- 1) into -1
3.773 * [backup-simplify]: Simplify (exp 0) into 1
3.774 * [backup-simplify]: Simplify (+ 1 1) into 2
3.774 * [backup-simplify]: Simplify (* 0.5 2) into 1.0
3.775 * [backup-simplify]: Simplify (exp 1.0) into (exp 1.0)
3.775 * [backup-simplify]: Simplify (sqrt (exp 1.0)) into (sqrt (exp 1.0))
3.776 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
3.777 * [backup-simplify]: Simplify (- 1) into -1
3.778 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
3.778 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.779 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0
3.780 * [backup-simplify]: Simplify (* (exp 1.0) (+ (* (/ (pow 0 1) 1)))) into 0
3.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp 1.0)))) into 0
3.782 * [backup-simplify]: Simplify (log (sqrt (exp 1.0))) into (log (sqrt (exp 1.0)))
3.783 * [backup-simplify]: Simplify (log (sqrt (exp 1.0))) into (log (sqrt (exp 1.0)))
3.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))) 1)))) 1) into 0
3.784 * [taylor]: Taking taylor expansion of 0 in im
3.784 * [backup-simplify]: Simplify 0 into 0
3.784 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp 1.0)) 1)))) 1) into 0
3.786 * [backup-simplify]: Simplify 0 into 0
3.787 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.788 * [backup-simplify]: Simplify (- im) into (- im)
3.788 * [backup-simplify]: Simplify (- 0) into 0
3.788 * [backup-simplify]: Simplify (- 0) into 0
3.789 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.790 * [backup-simplify]: Simplify (+ 0 0) into 0
3.791 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp im) (exp (- im)))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im)))))
3.792 * [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)))))
3.794 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) 1) 1)))) into (* -1 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))))
3.795 * [backup-simplify]: Simplify (/ (- (* -1 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))))) (pow 0 2) (+)) (* 2 (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))))) into (* -1/2 (* (sqrt (/ 1 (exp (* 0.5 (+ (exp im) (exp (- im))))))) (+ (* 0.25 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (exp (- im)))) (* 0.25 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (exp im))))))
3.797 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/2 (* (sqrt (/ 1 (exp (* 0.5 (+ (exp im) (exp (- im))))))) (+ (* 0.25 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (exp (- im)))) (* 0.25 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (exp im))))))) 1)) (pow (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))) 1)))) 2) into (* -1/2 (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))))
3.798 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im
3.798 * [taylor]: Taking taylor expansion of -1/2 in im
3.798 * [backup-simplify]: Simplify -1/2 into -1/2
3.798 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im
3.798 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im
3.798 * [taylor]: Taking taylor expansion of 0.25 in im
3.798 * [backup-simplify]: Simplify 0.25 into 0.25
3.798 * [taylor]: Taking taylor expansion of (exp im) in im
3.798 * [taylor]: Taking taylor expansion of im in im
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [backup-simplify]: Simplify 1 into 1
3.798 * [backup-simplify]: Simplify (exp 0) into 1
3.798 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im
3.798 * [taylor]: Taking taylor expansion of 0.25 in im
3.798 * [backup-simplify]: Simplify 0.25 into 0.25
3.798 * [taylor]: Taking taylor expansion of (exp (- im)) in im
3.798 * [taylor]: Taking taylor expansion of (- im) in im
3.798 * [taylor]: Taking taylor expansion of im in im
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [backup-simplify]: Simplify 1 into 1
3.798 * [backup-simplify]: Simplify (- 0) into 0
3.799 * [backup-simplify]: Simplify (- 1) into -1
3.799 * [backup-simplify]: Simplify (exp 0) into 1
3.799 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
3.800 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
3.800 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5
3.800 * [backup-simplify]: Simplify (* -1/2 0.5) into -0.25
3.800 * [backup-simplify]: Simplify -0.25 into -0.25
3.801 * [backup-simplify]: Simplify 0 into 0
3.802 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
3.802 * [backup-simplify]: Simplify (- 1) into -1
3.803 * [backup-simplify]: Simplify (- 0) into 0
3.804 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
3.805 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
3.807 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5
3.812 * [backup-simplify]: Simplify (* (exp 1.0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0.5 1) 1)))) into (* 0.5 (exp 1.0))
3.817 * [backup-simplify]: Simplify (/ (- (* 0.5 (exp 1.0)) (pow 0 2) (+)) (* 2 (sqrt (exp 1.0)))) into (* 0.25 (sqrt (exp 1.0)))
3.840 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp 1.0)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 0.25 (sqrt (exp 1.0)))) 1)) (pow (sqrt (exp 1.0)) 1)))) 2) into 0.25
3.841 * [backup-simplify]: Simplify 0.25 into 0.25
3.842 * [backup-simplify]: Simplify (+ (* 0.25 (pow (* im 1) 2)) (+ (* -0.25 (pow (* 1 re) 2)) (log (sqrt (exp 1.0))))) into (- (+ (log (sqrt (exp 1.0))) (* 0.25 (pow im 2))) (* 0.25 (pow re 2)))
3.842 * [backup-simplify]: Simplify (log (sqrt (exp (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))
3.842 * [approximate]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) in (re im) around 0
3.842 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) in im
3.842 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) in im
3.842 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im
3.842 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
3.842 * [taylor]: Taking taylor expansion of 0.5 in im
3.842 * [backup-simplify]: Simplify 0.5 into 0.5
3.842 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
3.842 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
3.842 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.842 * [taylor]: Taking taylor expansion of re in im
3.842 * [backup-simplify]: Simplify re into re
3.842 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.842 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
3.842 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
3.842 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
3.842 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
3.842 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
3.842 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.842 * [taylor]: Taking taylor expansion of im in im
3.842 * [backup-simplify]: Simplify 0 into 0
3.842 * [backup-simplify]: Simplify 1 into 1
3.843 * [backup-simplify]: Simplify (/ 1 1) into 1
3.843 * [backup-simplify]: Simplify (- 1) into -1
3.843 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
3.843 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
3.843 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.843 * [taylor]: Taking taylor expansion of im in im
3.843 * [backup-simplify]: Simplify 0 into 0
3.843 * [backup-simplify]: Simplify 1 into 1
3.843 * [backup-simplify]: Simplify (/ 1 1) into 1
3.843 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
3.843 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
3.843 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
3.844 * [backup-simplify]: Simplify (- 0) into 0
3.844 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
3.844 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
3.844 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
3.844 * [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)))))
3.844 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
3.844 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))
3.845 * [backup-simplify]: Simplify (+ 0 0) into 0
3.845 * [backup-simplify]: Simplify (+ 0) into 0
3.845 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0
3.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.846 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.846 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0
3.846 * [backup-simplify]: Simplify (- 0) into 0
3.847 * [backup-simplify]: Simplify (+ 0 0) into 0
3.847 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
3.847 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
3.848 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
3.848 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))
3.848 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) in re
3.848 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) in re
3.848 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re
3.848 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
3.848 * [taylor]: Taking taylor expansion of 0.5 in re
3.848 * [backup-simplify]: Simplify 0.5 into 0.5
3.848 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
3.848 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
3.848 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.848 * [taylor]: Taking taylor expansion of re in re
3.848 * [backup-simplify]: Simplify 0 into 0
3.849 * [backup-simplify]: Simplify 1 into 1
3.849 * [backup-simplify]: Simplify (/ 1 1) into 1
3.849 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
3.849 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
3.849 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
3.849 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
3.849 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.849 * [taylor]: Taking taylor expansion of im in re
3.849 * [backup-simplify]: Simplify im into im
3.849 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.849 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
3.849 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
3.849 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
3.849 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
3.849 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.849 * [taylor]: Taking taylor expansion of im in re
3.849 * [backup-simplify]: Simplify im into im
3.849 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.849 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
3.849 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
3.850 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
3.850 * [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)))))
3.850 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
3.850 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))
3.850 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
3.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.850 * [backup-simplify]: Simplify (- 0) into 0
3.851 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
3.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.852 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
3.852 * [backup-simplify]: Simplify (+ 0 0) into 0
3.853 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
3.853 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
3.854 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
3.854 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))
3.854 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) in re
3.855 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) in re
3.855 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re
3.855 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
3.855 * [taylor]: Taking taylor expansion of 0.5 in re
3.855 * [backup-simplify]: Simplify 0.5 into 0.5
3.855 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
3.855 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
3.855 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.855 * [taylor]: Taking taylor expansion of re in re
3.855 * [backup-simplify]: Simplify 0 into 0
3.855 * [backup-simplify]: Simplify 1 into 1
3.855 * [backup-simplify]: Simplify (/ 1 1) into 1
3.855 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
3.855 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
3.855 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
3.855 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
3.855 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.855 * [taylor]: Taking taylor expansion of im in re
3.855 * [backup-simplify]: Simplify im into im
3.855 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.855 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
3.855 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
3.855 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
3.855 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
3.855 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.855 * [taylor]: Taking taylor expansion of im in re
3.855 * [backup-simplify]: Simplify im into im
3.855 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.855 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
3.856 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
3.856 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
3.856 * [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)))))
3.856 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
3.856 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))
3.856 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
3.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.857 * [backup-simplify]: Simplify (- 0) into 0
3.857 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
3.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.858 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
3.858 * [backup-simplify]: Simplify (+ 0 0) into 0
3.858 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
3.859 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
3.860 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
3.861 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))
3.861 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) in im
3.861 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) in im
3.861 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im
3.861 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
3.861 * [taylor]: Taking taylor expansion of 0.5 in im
3.861 * [backup-simplify]: Simplify 0.5 into 0.5
3.861 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
3.861 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
3.861 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.861 * [taylor]: Taking taylor expansion of re in im
3.861 * [backup-simplify]: Simplify re into re
3.861 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.862 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
3.862 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
3.862 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
3.862 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
3.862 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
3.862 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.862 * [taylor]: Taking taylor expansion of im in im
3.862 * [backup-simplify]: Simplify 0 into 0
3.862 * [backup-simplify]: Simplify 1 into 1
3.862 * [backup-simplify]: Simplify (/ 1 1) into 1
3.863 * [backup-simplify]: Simplify (- 1) into -1
3.863 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
3.863 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
3.863 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.863 * [taylor]: Taking taylor expansion of im in im
3.863 * [backup-simplify]: Simplify 0 into 0
3.863 * [backup-simplify]: Simplify 1 into 1
3.863 * [backup-simplify]: Simplify (/ 1 1) into 1
3.863 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
3.863 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
3.863 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
3.864 * [backup-simplify]: Simplify (- 0) into 0
3.864 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
3.864 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
3.864 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
3.865 * [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)))))
3.865 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
3.865 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))
3.866 * [backup-simplify]: Simplify (+ 0 0) into 0
3.866 * [backup-simplify]: Simplify (+ 0) into 0
3.867 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0
3.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.868 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0
3.868 * [backup-simplify]: Simplify (- 0) into 0
3.869 * [backup-simplify]: Simplify (+ 0 0) into 0
3.869 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
3.870 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
3.871 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
3.872 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))
3.872 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))
3.873 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 1)))) 1) into 0
3.874 * [taylor]: Taking taylor expansion of 0 in im
3.874 * [backup-simplify]: Simplify 0 into 0
3.874 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 1)))) 1) into 0
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
3.875 * [backup-simplify]: Simplify (- 0) into 0
3.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.876 * [backup-simplify]: Simplify (- 0) into 0
3.877 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.879 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.879 * [backup-simplify]: Simplify (+ 0 0) into 0
3.880 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
3.881 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
3.882 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.883 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
3.886 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 1)))) 2) into 0
3.886 * [taylor]: Taking taylor expansion of 0 in im
3.886 * [backup-simplify]: Simplify 0 into 0
3.886 * [backup-simplify]: Simplify 0 into 0
3.886 * [backup-simplify]: Simplify 0 into 0
3.887 * [backup-simplify]: Simplify (+ 0 0) into 0
3.888 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.889 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
3.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
3.890 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.891 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
3.891 * [backup-simplify]: Simplify (- 0) into 0
3.892 * [backup-simplify]: Simplify (+ 0 0) into 0
3.892 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
3.893 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
3.895 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.896 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
3.898 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 1)))) 2) into 0
3.898 * [backup-simplify]: Simplify 0 into 0
3.899 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
3.899 * [backup-simplify]: Simplify (- 0) into 0
3.899 * [backup-simplify]: Simplify (- 0) into 0
3.900 * [backup-simplify]: Simplify (- 0) into 0
3.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.900 * [backup-simplify]: Simplify (- 0) into 0
3.902 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.904 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.904 * [backup-simplify]: Simplify (+ 0 0) into 0
3.905 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
3.906 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0
3.908 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
3.913 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 1)))) 6) into 0
3.913 * [taylor]: Taking taylor expansion of 0 in im
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 0 into 0
3.914 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (cos (/ 1 (/ 1 re))) (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im))))))))) into (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))))
3.914 * [backup-simplify]: Simplify (log (sqrt (exp (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))
3.914 * [approximate]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) in (re im) around 0
3.914 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) in im
3.914 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) in im
3.915 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im
3.915 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
3.915 * [taylor]: Taking taylor expansion of 0.5 in im
3.915 * [backup-simplify]: Simplify 0.5 into 0.5
3.915 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
3.915 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
3.915 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
3.915 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.915 * [taylor]: Taking taylor expansion of -1 in im
3.915 * [backup-simplify]: Simplify -1 into -1
3.915 * [taylor]: Taking taylor expansion of im in im
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 1 into 1
3.915 * [backup-simplify]: Simplify (/ -1 1) into -1
3.915 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
3.915 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
3.915 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.915 * [taylor]: Taking taylor expansion of im in im
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 1 into 1
3.916 * [backup-simplify]: Simplify (/ 1 1) into 1
3.916 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
3.916 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
3.916 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.916 * [taylor]: Taking taylor expansion of -1 in im
3.916 * [backup-simplify]: Simplify -1 into -1
3.916 * [taylor]: Taking taylor expansion of re in im
3.916 * [backup-simplify]: Simplify re into re
3.916 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.916 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
3.916 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
3.917 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
3.917 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
3.917 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
3.917 * [backup-simplify]: Simplify (- 0) into 0
3.917 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
3.918 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
3.918 * [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))))
3.918 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
3.918 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))
3.919 * [backup-simplify]: Simplify (+ 0) into 0
3.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0
3.919 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
3.920 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.921 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0
3.921 * [backup-simplify]: Simplify (- 0) into 0
3.921 * [backup-simplify]: Simplify (+ 0 0) into 0
3.922 * [backup-simplify]: Simplify (+ 0 0) into 0
3.922 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
3.923 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
3.924 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
3.924 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))
3.924 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) in re
3.924 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) in re
3.925 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re
3.925 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
3.925 * [taylor]: Taking taylor expansion of 0.5 in re
3.925 * [backup-simplify]: Simplify 0.5 into 0.5
3.925 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
3.925 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
3.925 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
3.925 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.925 * [taylor]: Taking taylor expansion of -1 in re
3.925 * [backup-simplify]: Simplify -1 into -1
3.925 * [taylor]: Taking taylor expansion of im in re
3.925 * [backup-simplify]: Simplify im into im
3.925 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.925 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
3.925 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
3.925 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.925 * [taylor]: Taking taylor expansion of im in re
3.925 * [backup-simplify]: Simplify im into im
3.925 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.925 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
3.925 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
3.925 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.925 * [taylor]: Taking taylor expansion of -1 in re
3.925 * [backup-simplify]: Simplify -1 into -1
3.925 * [taylor]: Taking taylor expansion of re in re
3.925 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify 1 into 1
3.926 * [backup-simplify]: Simplify (/ -1 1) into -1
3.926 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
3.926 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
3.926 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
3.927 * [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))))
3.927 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
3.927 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))
3.927 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.928 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
3.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.929 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
3.930 * [backup-simplify]: Simplify (+ 0 0) into 0
3.930 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
3.930 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
3.932 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
3.932 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))
3.932 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) in re
3.933 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) in re
3.933 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re
3.933 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
3.933 * [taylor]: Taking taylor expansion of 0.5 in re
3.933 * [backup-simplify]: Simplify 0.5 into 0.5
3.933 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
3.933 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
3.933 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
3.933 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.933 * [taylor]: Taking taylor expansion of -1 in re
3.933 * [backup-simplify]: Simplify -1 into -1
3.933 * [taylor]: Taking taylor expansion of im in re
3.933 * [backup-simplify]: Simplify im into im
3.933 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.933 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
3.933 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
3.933 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.933 * [taylor]: Taking taylor expansion of im in re
3.933 * [backup-simplify]: Simplify im into im
3.933 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.933 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
3.933 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
3.933 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.933 * [taylor]: Taking taylor expansion of -1 in re
3.933 * [backup-simplify]: Simplify -1 into -1
3.933 * [taylor]: Taking taylor expansion of re in re
3.933 * [backup-simplify]: Simplify 0 into 0
3.934 * [backup-simplify]: Simplify 1 into 1
3.934 * [backup-simplify]: Simplify (/ -1 1) into -1
3.934 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
3.934 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
3.934 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
3.935 * [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))))
3.935 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
3.935 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))
3.935 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.936 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
3.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.937 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
3.938 * [backup-simplify]: Simplify (+ 0 0) into 0
3.938 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
3.939 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
3.939 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
3.940 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))
3.940 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) in im
3.940 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) in im
3.940 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im
3.940 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
3.940 * [taylor]: Taking taylor expansion of 0.5 in im
3.941 * [backup-simplify]: Simplify 0.5 into 0.5
3.941 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
3.941 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
3.941 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
3.941 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.941 * [taylor]: Taking taylor expansion of -1 in im
3.941 * [backup-simplify]: Simplify -1 into -1
3.941 * [taylor]: Taking taylor expansion of im in im
3.941 * [backup-simplify]: Simplify 0 into 0
3.941 * [backup-simplify]: Simplify 1 into 1
3.941 * [backup-simplify]: Simplify (/ -1 1) into -1
3.941 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
3.941 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
3.941 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.941 * [taylor]: Taking taylor expansion of im in im
3.941 * [backup-simplify]: Simplify 0 into 0
3.941 * [backup-simplify]: Simplify 1 into 1
3.942 * [backup-simplify]: Simplify (/ 1 1) into 1
3.942 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
3.942 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
3.942 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.942 * [taylor]: Taking taylor expansion of -1 in im
3.942 * [backup-simplify]: Simplify -1 into -1
3.942 * [taylor]: Taking taylor expansion of re in im
3.942 * [backup-simplify]: Simplify re into re
3.942 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.942 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
3.942 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
3.942 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
3.943 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
3.943 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
3.943 * [backup-simplify]: Simplify (- 0) into 0
3.943 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
3.943 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
3.944 * [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))))
3.944 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
3.944 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))
3.945 * [backup-simplify]: Simplify (+ 0) into 0
3.945 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0
3.945 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
3.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.946 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0
3.947 * [backup-simplify]: Simplify (- 0) into 0
3.947 * [backup-simplify]: Simplify (+ 0 0) into 0
3.948 * [backup-simplify]: Simplify (+ 0 0) into 0
3.948 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
3.948 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
3.949 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
3.950 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))
3.951 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))
3.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 1)))) 1) into 0
3.952 * [taylor]: Taking taylor expansion of 0 in im
3.952 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify 0 into 0
3.953 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 1)))) 1) into 0
3.953 * [backup-simplify]: Simplify 0 into 0
3.953 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.955 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.956 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.956 * [backup-simplify]: Simplify (+ 0 0) into 0
3.957 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
3.958 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
3.960 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.961 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
3.963 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 1)))) 2) into 0
3.963 * [taylor]: Taking taylor expansion of 0 in im
3.963 * [backup-simplify]: Simplify 0 into 0
3.963 * [backup-simplify]: Simplify 0 into 0
3.963 * [backup-simplify]: Simplify 0 into 0
3.964 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.965 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
3.965 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
3.966 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.966 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
3.967 * [backup-simplify]: Simplify (- 0) into 0
3.967 * [backup-simplify]: Simplify (+ 0 0) into 0
3.967 * [backup-simplify]: Simplify (+ 0 0) into 0
3.968 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
3.969 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
3.970 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.971 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
3.980 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 1)))) 2) into 0
3.980 * [backup-simplify]: Simplify 0 into 0
3.980 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.983 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.984 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.985 * [backup-simplify]: Simplify (+ 0 0) into 0
3.986 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0
3.987 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0
3.989 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
3.994 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 1)))) 6) into 0
3.994 * [taylor]: Taking taylor expansion of 0 in im
3.994 * [backup-simplify]: Simplify 0 into 0
3.994 * [backup-simplify]: Simplify 0 into 0
3.994 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) (cos (/ -1 (/ 1 (- re))))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))))))
3.994 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
3.995 * [backup-simplify]: Simplify (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) into (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))))
3.995 * [approximate]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))))) in (re im) around 0
3.995 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))))) in im
3.995 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))) in im
3.995 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in im
3.995 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im
3.995 * [taylor]: Taking taylor expansion of 0.5 in im
3.995 * [backup-simplify]: Simplify 0.5 into 0.5
3.995 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im
3.995 * [taylor]: Taking taylor expansion of (cos re) in im
3.995 * [taylor]: Taking taylor expansion of re in im
3.995 * [backup-simplify]: Simplify re into re
3.995 * [backup-simplify]: Simplify (cos re) into (cos re)
3.995 * [backup-simplify]: Simplify (sin re) into (sin re)
3.995 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
3.995 * [taylor]: Taking taylor expansion of (exp im) in im
3.995 * [taylor]: Taking taylor expansion of im in im
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 1 into 1
3.995 * [backup-simplify]: Simplify (exp 0) into 1
3.995 * [taylor]: Taking taylor expansion of (exp (- im)) in im
3.995 * [taylor]: Taking taylor expansion of (- im) in im
3.996 * [taylor]: Taking taylor expansion of im in im
3.996 * [backup-simplify]: Simplify 0 into 0
3.996 * [backup-simplify]: Simplify 1 into 1
3.996 * [backup-simplify]: Simplify (- 0) into 0
3.996 * [backup-simplify]: Simplify (- 1) into -1
3.996 * [backup-simplify]: Simplify (exp 0) into 1
3.996 * [backup-simplify]: Simplify (* (cos re) 1) into (cos re)
3.997 * [backup-simplify]: Simplify (* (sin re) 0) into 0
3.997 * [backup-simplify]: Simplify (- 0) into 0
3.997 * [backup-simplify]: Simplify (+ (cos re) 0) into (cos re)
3.997 * [backup-simplify]: Simplify (+ 1 1) into 2
3.997 * [backup-simplify]: Simplify (* (cos re) 2) into (* 2 (cos re))
3.997 * [backup-simplify]: Simplify (* 0.5 (* 2 (cos re))) into (* 1.0 (cos re))
3.998 * [backup-simplify]: Simplify (exp (* 1.0 (cos re))) into (exp (* 1.0 (cos re)))
3.998 * [backup-simplify]: Simplify (sqrt (exp (* 1.0 (cos re)))) into (sqrt (exp (* 1.0 (cos re))))
3.999 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
3.999 * [backup-simplify]: Simplify (- 1) into -1
4.000 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
4.000 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.001 * [backup-simplify]: Simplify (+ 0) into 0
4.001 * [backup-simplify]: Simplify (+ (* (cos re) 0) (* 0 1)) into 0
4.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.002 * [backup-simplify]: Simplify (+ (* (sin re) 0) (* 0 0)) into 0
4.003 * [backup-simplify]: Simplify (- 0) into 0
4.003 * [backup-simplify]: Simplify (+ 0 0) into 0
4.004 * [backup-simplify]: Simplify (+ (* (cos re) 0) (* 0 2)) into 0
4.004 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* 2 (cos re)))) into 0
4.005 * [backup-simplify]: Simplify (* (exp (* 1.0 (cos re))) (+ (* (/ (pow 0 1) 1)))) into 0
4.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 1.0 (cos re)))))) into 0
4.005 * [backup-simplify]: Simplify (log (sqrt (exp (* 1.0 (cos re))))) into (log (sqrt (exp (* 1.0 (cos re)))))
4.005 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))))) in re
4.005 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))) in re
4.005 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re
4.005 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
4.005 * [taylor]: Taking taylor expansion of 0.5 in re
4.005 * [backup-simplify]: Simplify 0.5 into 0.5
4.005 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
4.005 * [taylor]: Taking taylor expansion of (cos re) in re
4.005 * [taylor]: Taking taylor expansion of re in re
4.005 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify 1 into 1
4.005 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
4.005 * [taylor]: Taking taylor expansion of (exp im) in re
4.006 * [taylor]: Taking taylor expansion of im in re
4.006 * [backup-simplify]: Simplify im into im
4.006 * [backup-simplify]: Simplify (exp im) into (exp im)
4.006 * [taylor]: Taking taylor expansion of (exp (- im)) in re
4.006 * [taylor]: Taking taylor expansion of (- im) in re
4.006 * [taylor]: Taking taylor expansion of im in re
4.006 * [backup-simplify]: Simplify im into im
4.006 * [backup-simplify]: Simplify (- im) into (- im)
4.006 * [backup-simplify]: Simplify (- im) into (- im)
4.006 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
4.006 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
4.006 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
4.006 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
4.006 * [backup-simplify]: Simplify (exp (* 0.5 (+ (exp im) (exp (- im))))) into (exp (* 0.5 (+ (exp im) (exp (- im)))))
4.007 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))) into (sqrt (exp (* 0.5 (+ (exp im) (exp (- im))))))
4.007 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
4.007 * [backup-simplify]: Simplify (- im) into (- im)
4.008 * [backup-simplify]: Simplify (- 0) into 0
4.009 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.009 * [backup-simplify]: Simplify (+ 0 0) into 0
4.009 * [backup-simplify]: Simplify (+ 0) into 0
4.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0
4.010 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0
4.011 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))))) into 0
4.011 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (+ (exp im) (exp (- im))))))) into (log (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))))
4.011 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))))) in re
4.011 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))) in re
4.011 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re
4.011 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
4.011 * [taylor]: Taking taylor expansion of 0.5 in re
4.011 * [backup-simplify]: Simplify 0.5 into 0.5
4.011 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
4.011 * [taylor]: Taking taylor expansion of (cos re) in re
4.011 * [taylor]: Taking taylor expansion of re in re
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 1 into 1
4.011 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
4.011 * [taylor]: Taking taylor expansion of (exp im) in re
4.011 * [taylor]: Taking taylor expansion of im in re
4.011 * [backup-simplify]: Simplify im into im
4.011 * [backup-simplify]: Simplify (exp im) into (exp im)
4.011 * [taylor]: Taking taylor expansion of (exp (- im)) in re
4.011 * [taylor]: Taking taylor expansion of (- im) in re
4.011 * [taylor]: Taking taylor expansion of im in re
4.011 * [backup-simplify]: Simplify im into im
4.011 * [backup-simplify]: Simplify (- im) into (- im)
4.011 * [backup-simplify]: Simplify (- im) into (- im)
4.011 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
4.011 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
4.011 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
4.012 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
4.012 * [backup-simplify]: Simplify (exp (* 0.5 (+ (exp im) (exp (- im))))) into (exp (* 0.5 (+ (exp im) (exp (- im)))))
4.012 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))) into (sqrt (exp (* 0.5 (+ (exp im) (exp (- im))))))
4.012 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
4.012 * [backup-simplify]: Simplify (- im) into (- im)
4.013 * [backup-simplify]: Simplify (- 0) into 0
4.014 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.014 * [backup-simplify]: Simplify (+ 0 0) into 0
4.014 * [backup-simplify]: Simplify (+ 0) into 0
4.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0
4.015 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0
4.016 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))))) into 0
4.017 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (+ (exp im) (exp (- im))))))) into (log (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))))
4.017 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (+ (exp im) (exp (- im))))))) in im
4.017 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))) in im
4.017 * [taylor]: Taking taylor expansion of (exp (* 0.5 (+ (exp im) (exp (- im))))) in im
4.017 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im
4.017 * [taylor]: Taking taylor expansion of 0.5 in im
4.017 * [backup-simplify]: Simplify 0.5 into 0.5
4.017 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
4.017 * [taylor]: Taking taylor expansion of (exp im) in im
4.017 * [taylor]: Taking taylor expansion of im in im
4.017 * [backup-simplify]: Simplify 0 into 0
4.017 * [backup-simplify]: Simplify 1 into 1
4.017 * [backup-simplify]: Simplify (exp 0) into 1
4.017 * [taylor]: Taking taylor expansion of (exp (- im)) in im
4.017 * [taylor]: Taking taylor expansion of (- im) in im
4.017 * [taylor]: Taking taylor expansion of im in im
4.017 * [backup-simplify]: Simplify 0 into 0
4.017 * [backup-simplify]: Simplify 1 into 1
4.018 * [backup-simplify]: Simplify (- 0) into 0
4.018 * [backup-simplify]: Simplify (- 1) into -1
4.018 * [backup-simplify]: Simplify (exp 0) into 1
4.018 * [backup-simplify]: Simplify (+ 1 1) into 2
4.019 * [backup-simplify]: Simplify (* 0.5 2) into 1.0
4.019 * [backup-simplify]: Simplify (exp 1.0) into (exp 1.0)
4.020 * [backup-simplify]: Simplify (sqrt (exp 1.0)) into (sqrt (exp 1.0))
4.021 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
4.021 * [backup-simplify]: Simplify (- 1) into -1
4.022 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
4.023 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.024 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0
4.025 * [backup-simplify]: Simplify (* (exp 1.0) (+ (* (/ (pow 0 1) 1)))) into 0
4.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp 1.0)))) into 0
4.027 * [backup-simplify]: Simplify (log (sqrt (exp 1.0))) into (log (sqrt (exp 1.0)))
4.028 * [backup-simplify]: Simplify (log (sqrt (exp 1.0))) into (log (sqrt (exp 1.0)))
4.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))) 1)))) 1) into 0
4.030 * [taylor]: Taking taylor expansion of 0 in im
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp 1.0)) 1)))) 1) into 0
4.031 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.033 * [backup-simplify]: Simplify (- im) into (- im)
4.033 * [backup-simplify]: Simplify (- 0) into 0
4.034 * [backup-simplify]: Simplify (- 0) into 0
4.035 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.035 * [backup-simplify]: Simplify (+ 0 0) into 0
4.036 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp im) (exp (- im)))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im)))))
4.039 * [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)))))
4.040 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) 1) 1)))) into (* -1 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))))
4.042 * [backup-simplify]: Simplify (/ (- (* -1 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))))) (pow 0 2) (+)) (* 2 (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))))) into (* -1/2 (* (sqrt (/ 1 (exp (* 0.5 (+ (exp im) (exp (- im))))))) (+ (* 0.25 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (exp (- im)))) (* 0.25 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (exp im))))))
4.045 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/2 (* (sqrt (/ 1 (exp (* 0.5 (+ (exp im) (exp (- im))))))) (+ (* 0.25 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (exp (- im)))) (* 0.25 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (exp im))))))) 1)) (pow (sqrt (exp (* 0.5 (+ (exp im) (exp (- im)))))) 1)))) 2) into (* -1/2 (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))))
4.045 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im
4.045 * [taylor]: Taking taylor expansion of -1/2 in im
4.045 * [backup-simplify]: Simplify -1/2 into -1/2
4.045 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im
4.045 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im
4.045 * [taylor]: Taking taylor expansion of 0.25 in im
4.045 * [backup-simplify]: Simplify 0.25 into 0.25
4.045 * [taylor]: Taking taylor expansion of (exp im) in im
4.045 * [taylor]: Taking taylor expansion of im in im
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 1 into 1
4.045 * [backup-simplify]: Simplify (exp 0) into 1
4.045 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im
4.045 * [taylor]: Taking taylor expansion of 0.25 in im
4.045 * [backup-simplify]: Simplify 0.25 into 0.25
4.045 * [taylor]: Taking taylor expansion of (exp (- im)) in im
4.045 * [taylor]: Taking taylor expansion of (- im) in im
4.045 * [taylor]: Taking taylor expansion of im in im
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 1 into 1
4.046 * [backup-simplify]: Simplify (- 0) into 0
4.046 * [backup-simplify]: Simplify (- 1) into -1
4.046 * [backup-simplify]: Simplify (exp 0) into 1
4.046 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
4.047 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
4.047 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5
4.048 * [backup-simplify]: Simplify (* -1/2 0.5) into -0.25
4.048 * [backup-simplify]: Simplify -0.25 into -0.25
4.048 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
4.050 * [backup-simplify]: Simplify (- 1) into -1
4.050 * [backup-simplify]: Simplify (- 0) into 0
4.052 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
4.052 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
4.054 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5
4.059 * [backup-simplify]: Simplify (* (exp 1.0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0.5 1) 1)))) into (* 0.5 (exp 1.0))
4.064 * [backup-simplify]: Simplify (/ (- (* 0.5 (exp 1.0)) (pow 0 2) (+)) (* 2 (sqrt (exp 1.0)))) into (* 0.25 (sqrt (exp 1.0)))
4.082 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp 1.0)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 0.25 (sqrt (exp 1.0)))) 1)) (pow (sqrt (exp 1.0)) 1)))) 2) into 0.25
4.082 * [backup-simplify]: Simplify 0.25 into 0.25
4.083 * [backup-simplify]: Simplify (+ (* 0.25 (pow (* im 1) 2)) (+ (* -0.25 (pow (* 1 re) 2)) (log (sqrt (exp 1.0))))) into (- (+ (log (sqrt (exp 1.0))) (* 0.25 (pow im 2))) (* 0.25 (pow re 2)))
4.083 * [backup-simplify]: Simplify (log (sqrt (exp (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))
4.083 * [approximate]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) in (re im) around 0
4.083 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) in im
4.083 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) in im
4.084 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im
4.084 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
4.084 * [taylor]: Taking taylor expansion of 0.5 in im
4.084 * [backup-simplify]: Simplify 0.5 into 0.5
4.084 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
4.084 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
4.084 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.084 * [taylor]: Taking taylor expansion of re in im
4.084 * [backup-simplify]: Simplify re into re
4.084 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.084 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
4.084 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
4.084 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
4.084 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
4.084 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
4.084 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.084 * [taylor]: Taking taylor expansion of im in im
4.084 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify 1 into 1
4.084 * [backup-simplify]: Simplify (/ 1 1) into 1
4.084 * [backup-simplify]: Simplify (- 1) into -1
4.084 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
4.085 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
4.085 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.085 * [taylor]: Taking taylor expansion of im in im
4.085 * [backup-simplify]: Simplify 0 into 0
4.085 * [backup-simplify]: Simplify 1 into 1
4.085 * [backup-simplify]: Simplify (/ 1 1) into 1
4.085 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.085 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
4.085 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
4.085 * [backup-simplify]: Simplify (- 0) into 0
4.085 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
4.085 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
4.086 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
4.086 * [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)))))
4.086 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.086 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))
4.086 * [backup-simplify]: Simplify (+ 0 0) into 0
4.087 * [backup-simplify]: Simplify (+ 0) into 0
4.087 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0
4.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.088 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0
4.088 * [backup-simplify]: Simplify (- 0) into 0
4.088 * [backup-simplify]: Simplify (+ 0 0) into 0
4.088 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
4.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.089 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
4.090 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))
4.090 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) in re
4.090 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) in re
4.090 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re
4.090 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
4.090 * [taylor]: Taking taylor expansion of 0.5 in re
4.090 * [backup-simplify]: Simplify 0.5 into 0.5
4.090 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
4.090 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
4.090 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.090 * [taylor]: Taking taylor expansion of re in re
4.090 * [backup-simplify]: Simplify 0 into 0
4.090 * [backup-simplify]: Simplify 1 into 1
4.090 * [backup-simplify]: Simplify (/ 1 1) into 1
4.090 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
4.090 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
4.090 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
4.091 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
4.091 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.091 * [taylor]: Taking taylor expansion of im in re
4.091 * [backup-simplify]: Simplify im into im
4.091 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.091 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.091 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.091 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
4.091 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
4.091 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.091 * [taylor]: Taking taylor expansion of im in re
4.091 * [backup-simplify]: Simplify im into im
4.091 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.091 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.091 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
4.091 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
4.091 * [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)))))
4.091 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.092 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))
4.092 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.092 * [backup-simplify]: Simplify (- 0) into 0
4.093 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
4.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.093 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.094 * [backup-simplify]: Simplify (+ 0 0) into 0
4.094 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
4.094 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.095 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
4.095 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))
4.095 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) in re
4.095 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) in re
4.095 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re
4.095 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
4.095 * [taylor]: Taking taylor expansion of 0.5 in re
4.095 * [backup-simplify]: Simplify 0.5 into 0.5
4.095 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
4.095 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
4.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.096 * [taylor]: Taking taylor expansion of re in re
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify 1 into 1
4.096 * [backup-simplify]: Simplify (/ 1 1) into 1
4.096 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
4.096 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
4.096 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
4.096 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
4.096 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.096 * [taylor]: Taking taylor expansion of im in re
4.096 * [backup-simplify]: Simplify im into im
4.096 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.096 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.096 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.096 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
4.096 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
4.096 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.096 * [taylor]: Taking taylor expansion of im in re
4.096 * [backup-simplify]: Simplify im into im
4.096 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.096 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.096 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
4.097 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
4.097 * [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)))))
4.097 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.097 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))
4.097 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.097 * [backup-simplify]: Simplify (- 0) into 0
4.098 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
4.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.099 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.100 * [backup-simplify]: Simplify (+ 0 0) into 0
4.100 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
4.101 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.102 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
4.103 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))
4.103 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) in im
4.103 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) in im
4.103 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im
4.103 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
4.103 * [taylor]: Taking taylor expansion of 0.5 in im
4.103 * [backup-simplify]: Simplify 0.5 into 0.5
4.103 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
4.103 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
4.103 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.103 * [taylor]: Taking taylor expansion of re in im
4.103 * [backup-simplify]: Simplify re into re
4.103 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.103 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
4.103 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
4.103 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
4.104 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
4.104 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
4.104 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.104 * [taylor]: Taking taylor expansion of im in im
4.104 * [backup-simplify]: Simplify 0 into 0
4.104 * [backup-simplify]: Simplify 1 into 1
4.104 * [backup-simplify]: Simplify (/ 1 1) into 1
4.104 * [backup-simplify]: Simplify (- 1) into -1
4.105 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
4.105 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
4.105 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.105 * [taylor]: Taking taylor expansion of im in im
4.105 * [backup-simplify]: Simplify 0 into 0
4.105 * [backup-simplify]: Simplify 1 into 1
4.105 * [backup-simplify]: Simplify (/ 1 1) into 1
4.105 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.105 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
4.105 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
4.106 * [backup-simplify]: Simplify (- 0) into 0
4.106 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
4.106 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
4.106 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
4.106 * [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)))))
4.106 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.107 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))
4.107 * [backup-simplify]: Simplify (+ 0 0) into 0
4.107 * [backup-simplify]: Simplify (+ 0) into 0
4.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0
4.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.108 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0
4.108 * [backup-simplify]: Simplify (- 0) into 0
4.109 * [backup-simplify]: Simplify (+ 0 0) into 0
4.109 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
4.109 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.110 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
4.110 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))
4.111 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into (log (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))
4.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 1)))) 1) into 0
4.111 * [taylor]: Taking taylor expansion of 0 in im
4.111 * [backup-simplify]: Simplify 0 into 0
4.111 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 1)))) 1) into 0
4.112 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.113 * [backup-simplify]: Simplify (- 0) into 0
4.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.113 * [backup-simplify]: Simplify (- 0) into 0
4.114 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.119 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.120 * [backup-simplify]: Simplify (+ 0 0) into 0
4.120 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.121 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
4.122 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.123 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
4.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 1)))) 2) into 0
4.124 * [taylor]: Taking taylor expansion of 0 in im
4.124 * [backup-simplify]: Simplify 0 into 0
4.124 * [backup-simplify]: Simplify 0 into 0
4.124 * [backup-simplify]: Simplify 0 into 0
4.124 * [backup-simplify]: Simplify (+ 0 0) into 0
4.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.125 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
4.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.126 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.126 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
4.127 * [backup-simplify]: Simplify (- 0) into 0
4.127 * [backup-simplify]: Simplify (+ 0 0) into 0
4.127 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.128 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
4.129 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.129 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
4.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 1)))) 2) into 0
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.131 * [backup-simplify]: Simplify (- 0) into 0
4.132 * [backup-simplify]: Simplify (- 0) into 0
4.132 * [backup-simplify]: Simplify (- 0) into 0
4.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.132 * [backup-simplify]: Simplify (- 0) into 0
4.133 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.135 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.135 * [backup-simplify]: Simplify (+ 0 0) into 0
4.136 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
4.138 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0
4.139 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))))) into 0
4.145 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) 1)))) 6) into 0
4.145 * [taylor]: Taking taylor expansion of 0 in im
4.145 * [backup-simplify]: Simplify 0 into 0
4.145 * [backup-simplify]: Simplify 0 into 0
4.145 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (cos (/ 1 (/ 1 re))) (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im))))))))) into (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))))
4.146 * [backup-simplify]: Simplify (log (sqrt (exp (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))
4.146 * [approximate]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) in (re im) around 0
4.146 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) in im
4.146 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) in im
4.146 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im
4.146 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
4.146 * [taylor]: Taking taylor expansion of 0.5 in im
4.146 * [backup-simplify]: Simplify 0.5 into 0.5
4.146 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
4.146 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
4.146 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
4.146 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.146 * [taylor]: Taking taylor expansion of -1 in im
4.146 * [backup-simplify]: Simplify -1 into -1
4.146 * [taylor]: Taking taylor expansion of im in im
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify 1 into 1
4.146 * [backup-simplify]: Simplify (/ -1 1) into -1
4.147 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
4.147 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
4.147 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.147 * [taylor]: Taking taylor expansion of im in im
4.147 * [backup-simplify]: Simplify 0 into 0
4.147 * [backup-simplify]: Simplify 1 into 1
4.147 * [backup-simplify]: Simplify (/ 1 1) into 1
4.147 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.147 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
4.147 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.147 * [taylor]: Taking taylor expansion of -1 in im
4.147 * [backup-simplify]: Simplify -1 into -1
4.147 * [taylor]: Taking taylor expansion of re in im
4.147 * [backup-simplify]: Simplify re into re
4.147 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.147 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
4.147 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
4.148 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
4.148 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
4.148 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
4.148 * [backup-simplify]: Simplify (- 0) into 0
4.148 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
4.148 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
4.149 * [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))))
4.149 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.149 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))
4.150 * [backup-simplify]: Simplify (+ 0) into 0
4.150 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0
4.150 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
4.151 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.151 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0
4.152 * [backup-simplify]: Simplify (- 0) into 0
4.152 * [backup-simplify]: Simplify (+ 0 0) into 0
4.152 * [backup-simplify]: Simplify (+ 0 0) into 0
4.153 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
4.153 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
4.154 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
4.155 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))
4.155 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) in re
4.155 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) in re
4.155 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re
4.155 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
4.155 * [taylor]: Taking taylor expansion of 0.5 in re
4.155 * [backup-simplify]: Simplify 0.5 into 0.5
4.155 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
4.155 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
4.155 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
4.155 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.155 * [taylor]: Taking taylor expansion of -1 in re
4.155 * [backup-simplify]: Simplify -1 into -1
4.155 * [taylor]: Taking taylor expansion of im in re
4.155 * [backup-simplify]: Simplify im into im
4.156 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.156 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
4.156 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
4.156 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.156 * [taylor]: Taking taylor expansion of im in re
4.156 * [backup-simplify]: Simplify im into im
4.156 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.156 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.156 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
4.156 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.156 * [taylor]: Taking taylor expansion of -1 in re
4.156 * [backup-simplify]: Simplify -1 into -1
4.156 * [taylor]: Taking taylor expansion of re in re
4.156 * [backup-simplify]: Simplify 0 into 0
4.156 * [backup-simplify]: Simplify 1 into 1
4.156 * [backup-simplify]: Simplify (/ -1 1) into -1
4.156 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
4.157 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
4.157 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
4.157 * [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))))
4.157 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.158 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))
4.158 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.159 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.160 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.160 * [backup-simplify]: Simplify (+ 0 0) into 0
4.160 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
4.161 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
4.162 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
4.162 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))
4.162 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) in re
4.162 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) in re
4.163 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re
4.163 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
4.163 * [taylor]: Taking taylor expansion of 0.5 in re
4.163 * [backup-simplify]: Simplify 0.5 into 0.5
4.163 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
4.163 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
4.163 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
4.163 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.163 * [taylor]: Taking taylor expansion of -1 in re
4.163 * [backup-simplify]: Simplify -1 into -1
4.163 * [taylor]: Taking taylor expansion of im in re
4.163 * [backup-simplify]: Simplify im into im
4.163 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.163 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
4.163 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
4.163 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.163 * [taylor]: Taking taylor expansion of im in re
4.163 * [backup-simplify]: Simplify im into im
4.163 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.163 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.163 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
4.163 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.163 * [taylor]: Taking taylor expansion of -1 in re
4.163 * [backup-simplify]: Simplify -1 into -1
4.163 * [taylor]: Taking taylor expansion of re in re
4.163 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify 1 into 1
4.164 * [backup-simplify]: Simplify (/ -1 1) into -1
4.164 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
4.164 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
4.164 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
4.164 * [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))))
4.165 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.165 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))
4.165 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.166 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.166 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.167 * [backup-simplify]: Simplify (+ 0 0) into 0
4.167 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
4.167 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
4.168 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
4.168 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))
4.168 * [taylor]: Taking taylor expansion of (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) in im
4.168 * [taylor]: Taking taylor expansion of (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) in im
4.168 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im
4.168 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
4.168 * [taylor]: Taking taylor expansion of 0.5 in im
4.168 * [backup-simplify]: Simplify 0.5 into 0.5
4.168 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
4.168 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
4.168 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
4.168 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.168 * [taylor]: Taking taylor expansion of -1 in im
4.169 * [backup-simplify]: Simplify -1 into -1
4.169 * [taylor]: Taking taylor expansion of im in im
4.169 * [backup-simplify]: Simplify 0 into 0
4.169 * [backup-simplify]: Simplify 1 into 1
4.169 * [backup-simplify]: Simplify (/ -1 1) into -1
4.169 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
4.169 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
4.169 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.169 * [taylor]: Taking taylor expansion of im in im
4.169 * [backup-simplify]: Simplify 0 into 0
4.169 * [backup-simplify]: Simplify 1 into 1
4.169 * [backup-simplify]: Simplify (/ 1 1) into 1
4.169 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.169 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
4.169 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.169 * [taylor]: Taking taylor expansion of -1 in im
4.169 * [backup-simplify]: Simplify -1 into -1
4.169 * [taylor]: Taking taylor expansion of re in im
4.169 * [backup-simplify]: Simplify re into re
4.169 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.169 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
4.170 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
4.170 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
4.170 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
4.170 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
4.170 * [backup-simplify]: Simplify (- 0) into 0
4.170 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
4.170 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
4.170 * [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))))
4.170 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.171 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))
4.171 * [backup-simplify]: Simplify (+ 0) into 0
4.171 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0
4.171 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
4.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.172 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0
4.172 * [backup-simplify]: Simplify (- 0) into 0
4.173 * [backup-simplify]: Simplify (+ 0 0) into 0
4.173 * [backup-simplify]: Simplify (+ 0 0) into 0
4.173 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
4.173 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
4.174 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
4.174 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))
4.175 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))
4.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 1)))) 1) into 0
4.175 * [taylor]: Taking taylor expansion of 0 in im
4.175 * [backup-simplify]: Simplify 0 into 0
4.175 * [backup-simplify]: Simplify 0 into 0
4.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 1)))) 1) into 0
4.176 * [backup-simplify]: Simplify 0 into 0
4.176 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.177 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.178 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.178 * [backup-simplify]: Simplify (+ 0 0) into 0
4.179 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
4.179 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
4.180 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.181 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
4.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 1)))) 2) into 0
4.183 * [taylor]: Taking taylor expansion of 0 in im
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.184 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
4.184 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.185 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
4.185 * [backup-simplify]: Simplify (- 0) into 0
4.185 * [backup-simplify]: Simplify (+ 0 0) into 0
4.186 * [backup-simplify]: Simplify (+ 0 0) into 0
4.186 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
4.187 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
4.188 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.188 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
4.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 1)))) 2) into 0
4.190 * [backup-simplify]: Simplify 0 into 0
4.190 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.191 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.192 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.193 * [backup-simplify]: Simplify (+ 0 0) into 0
4.193 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0
4.194 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0
4.196 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))))) into 0
4.202 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) 1)))) 6) into 0
4.202 * [taylor]: Taking taylor expansion of 0 in im
4.202 * [backup-simplify]: Simplify 0 into 0
4.202 * [backup-simplify]: Simplify 0 into 0
4.203 * [backup-simplify]: Simplify (log (sqrt (exp (* 0.5 (* (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) (cos (/ -1 (/ 1 (- re))))))))) into (log (sqrt (exp (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))))))
4.203 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
4.203 * [backup-simplify]: Simplify (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) into (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))
4.203 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in (re im) around 0
4.203 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in im
4.203 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im
4.203 * [taylor]: Taking taylor expansion of 0.5 in im
4.203 * [backup-simplify]: Simplify 0.5 into 0.5
4.204 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im
4.204 * [taylor]: Taking taylor expansion of (cos re) in im
4.204 * [taylor]: Taking taylor expansion of re in im
4.204 * [backup-simplify]: Simplify re into re
4.204 * [backup-simplify]: Simplify (cos re) into (cos re)
4.204 * [backup-simplify]: Simplify (sin re) into (sin re)
4.204 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
4.204 * [taylor]: Taking taylor expansion of (exp im) in im
4.204 * [taylor]: Taking taylor expansion of im in im
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify 1 into 1
4.204 * [backup-simplify]: Simplify (exp 0) into 1
4.204 * [taylor]: Taking taylor expansion of (exp (- im)) in im
4.204 * [taylor]: Taking taylor expansion of (- im) in im
4.204 * [taylor]: Taking taylor expansion of im in im
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify 1 into 1
4.205 * [backup-simplify]: Simplify (- 0) into 0
4.205 * [backup-simplify]: Simplify (- 1) into -1
4.205 * [backup-simplify]: Simplify (exp 0) into 1
4.205 * [backup-simplify]: Simplify (* (cos re) 1) into (cos re)
4.205 * [backup-simplify]: Simplify (* (sin re) 0) into 0
4.206 * [backup-simplify]: Simplify (- 0) into 0
4.206 * [backup-simplify]: Simplify (+ (cos re) 0) into (cos re)
4.206 * [backup-simplify]: Simplify (+ 1 1) into 2
4.206 * [backup-simplify]: Simplify (* (cos re) 2) into (* 2 (cos re))
4.206 * [backup-simplify]: Simplify (* 0.5 (* 2 (cos re))) into (* 1.0 (cos re))
4.206 * [backup-simplify]: Simplify (exp (* 1.0 (cos re))) into (exp (* 1.0 (cos re)))
4.206 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re
4.206 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
4.206 * [taylor]: Taking taylor expansion of 0.5 in re
4.206 * [backup-simplify]: Simplify 0.5 into 0.5
4.206 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
4.207 * [taylor]: Taking taylor expansion of (cos re) in re
4.207 * [taylor]: Taking taylor expansion of re in re
4.207 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify 1 into 1
4.207 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
4.207 * [taylor]: Taking taylor expansion of (exp im) in re
4.207 * [taylor]: Taking taylor expansion of im in re
4.207 * [backup-simplify]: Simplify im into im
4.207 * [backup-simplify]: Simplify (exp im) into (exp im)
4.207 * [taylor]: Taking taylor expansion of (exp (- im)) in re
4.207 * [taylor]: Taking taylor expansion of (- im) in re
4.207 * [taylor]: Taking taylor expansion of im in re
4.207 * [backup-simplify]: Simplify im into im
4.207 * [backup-simplify]: Simplify (- im) into (- im)
4.207 * [backup-simplify]: Simplify (- im) into (- im)
4.207 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
4.207 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
4.207 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
4.207 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
4.208 * [backup-simplify]: Simplify (exp (* 0.5 (+ (exp im) (exp (- im))))) into (exp (* 0.5 (+ (exp im) (exp (- im)))))
4.208 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re
4.208 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
4.208 * [taylor]: Taking taylor expansion of 0.5 in re
4.208 * [backup-simplify]: Simplify 0.5 into 0.5
4.208 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
4.208 * [taylor]: Taking taylor expansion of (cos re) in re
4.208 * [taylor]: Taking taylor expansion of re in re
4.208 * [backup-simplify]: Simplify 0 into 0
4.208 * [backup-simplify]: Simplify 1 into 1
4.208 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
4.208 * [taylor]: Taking taylor expansion of (exp im) in re
4.208 * [taylor]: Taking taylor expansion of im in re
4.208 * [backup-simplify]: Simplify im into im
4.208 * [backup-simplify]: Simplify (exp im) into (exp im)
4.208 * [taylor]: Taking taylor expansion of (exp (- im)) in re
4.208 * [taylor]: Taking taylor expansion of (- im) in re
4.208 * [taylor]: Taking taylor expansion of im in re
4.208 * [backup-simplify]: Simplify im into im
4.208 * [backup-simplify]: Simplify (- im) into (- im)
4.208 * [backup-simplify]: Simplify (- im) into (- im)
4.208 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
4.208 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
4.209 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
4.209 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
4.209 * [backup-simplify]: Simplify (exp (* 0.5 (+ (exp im) (exp (- im))))) into (exp (* 0.5 (+ (exp im) (exp (- im)))))
4.209 * [taylor]: Taking taylor expansion of (exp (* 0.5 (+ (exp im) (exp (- im))))) in im
4.209 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im
4.209 * [taylor]: Taking taylor expansion of 0.5 in im
4.209 * [backup-simplify]: Simplify 0.5 into 0.5
4.209 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
4.209 * [taylor]: Taking taylor expansion of (exp im) in im
4.209 * [taylor]: Taking taylor expansion of im in im
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [backup-simplify]: Simplify 1 into 1
4.209 * [backup-simplify]: Simplify (exp 0) into 1
4.209 * [taylor]: Taking taylor expansion of (exp (- im)) in im
4.209 * [taylor]: Taking taylor expansion of (- im) in im
4.209 * [taylor]: Taking taylor expansion of im in im
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [backup-simplify]: Simplify 1 into 1
4.210 * [backup-simplify]: Simplify (- 0) into 0
4.210 * [backup-simplify]: Simplify (- 1) into -1
4.210 * [backup-simplify]: Simplify (exp 0) into 1
4.211 * [backup-simplify]: Simplify (+ 1 1) into 2
4.211 * [backup-simplify]: Simplify (* 0.5 2) into 1.0
4.211 * [backup-simplify]: Simplify (exp 1.0) into (exp 1.0)
4.212 * [backup-simplify]: Simplify (exp 1.0) into (exp 1.0)
4.213 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
4.213 * [backup-simplify]: Simplify (- im) into (- im)
4.213 * [backup-simplify]: Simplify (- 0) into 0
4.214 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.214 * [backup-simplify]: Simplify (+ 0 0) into 0
4.214 * [backup-simplify]: Simplify (+ 0) into 0
4.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0
4.215 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0
4.215 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.215 * [taylor]: Taking taylor expansion of 0 in im
4.215 * [backup-simplify]: Simplify 0 into 0
4.215 * [backup-simplify]: Simplify 0 into 0
4.216 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
4.216 * [backup-simplify]: Simplify (- 1) into -1
4.217 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
4.217 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0
4.218 * [backup-simplify]: Simplify (* (exp 1.0) (+ (* (/ (pow 0 1) 1)))) into 0
4.219 * [backup-simplify]: Simplify 0 into 0
4.219 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.219 * [backup-simplify]: Simplify (- im) into (- im)
4.220 * [backup-simplify]: Simplify (- 0) into 0
4.220 * [backup-simplify]: Simplify (- 0) into 0
4.221 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.221 * [backup-simplify]: Simplify (+ 0 0) into 0
4.222 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp im) (exp (- im)))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im)))))
4.223 * [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)))))
4.223 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) 1) 1)))) into (* -1 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))))
4.224 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))))) in im
4.224 * [taylor]: Taking taylor expansion of -1 in im
4.224 * [backup-simplify]: Simplify -1 into -1
4.224 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im
4.224 * [taylor]: Taking taylor expansion of (exp (* 0.5 (+ (exp im) (exp (- im))))) in im
4.224 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im
4.224 * [taylor]: Taking taylor expansion of 0.5 in im
4.224 * [backup-simplify]: Simplify 0.5 into 0.5
4.224 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
4.224 * [taylor]: Taking taylor expansion of (exp im) in im
4.224 * [taylor]: Taking taylor expansion of im in im
4.224 * [backup-simplify]: Simplify 0 into 0
4.224 * [backup-simplify]: Simplify 1 into 1
4.224 * [backup-simplify]: Simplify (exp 0) into 1
4.224 * [taylor]: Taking taylor expansion of (exp (- im)) in im
4.224 * [taylor]: Taking taylor expansion of (- im) in im
4.224 * [taylor]: Taking taylor expansion of im in im
4.224 * [backup-simplify]: Simplify 0 into 0
4.224 * [backup-simplify]: Simplify 1 into 1
4.224 * [backup-simplify]: Simplify (- 0) into 0
4.224 * [backup-simplify]: Simplify (- 1) into -1
4.224 * [backup-simplify]: Simplify (exp 0) into 1
4.225 * [backup-simplify]: Simplify (+ 1 1) into 2
4.225 * [backup-simplify]: Simplify (* 0.5 2) into 1.0
4.225 * [backup-simplify]: Simplify (exp 1.0) into (exp 1.0)
4.225 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im
4.225 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im
4.225 * [taylor]: Taking taylor expansion of 0.25 in im
4.225 * [backup-simplify]: Simplify 0.25 into 0.25
4.225 * [taylor]: Taking taylor expansion of (exp im) in im
4.225 * [taylor]: Taking taylor expansion of im in im
4.225 * [backup-simplify]: Simplify 0 into 0
4.225 * [backup-simplify]: Simplify 1 into 1
4.225 * [backup-simplify]: Simplify (exp 0) into 1
4.225 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im
4.225 * [taylor]: Taking taylor expansion of 0.25 in im
4.225 * [backup-simplify]: Simplify 0.25 into 0.25
4.225 * [taylor]: Taking taylor expansion of (exp (- im)) in im
4.225 * [taylor]: Taking taylor expansion of (- im) in im
4.225 * [taylor]: Taking taylor expansion of im in im
4.225 * [backup-simplify]: Simplify 0 into 0
4.225 * [backup-simplify]: Simplify 1 into 1
4.226 * [backup-simplify]: Simplify (- 0) into 0
4.226 * [backup-simplify]: Simplify (- 1) into -1
4.226 * [backup-simplify]: Simplify (exp 0) into 1
4.226 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
4.226 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
4.227 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5
4.227 * [backup-simplify]: Simplify (* (exp 1.0) 0.5) into (* 0.5 (exp 1.0))
4.228 * [backup-simplify]: Simplify (* -1 (* 0.5 (exp 1.0))) into (* -0.5 (exp 1.0))
4.229 * [backup-simplify]: Simplify (* -0.5 (exp 1.0)) into (* -0.5 (exp 1.0))
4.229 * [backup-simplify]: Simplify 0 into 0
4.230 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
4.230 * [backup-simplify]: Simplify (- 1) into -1
4.230 * [backup-simplify]: Simplify (- 0) into 0
4.231 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
4.231 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
4.233 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5
4.241 * [backup-simplify]: Simplify (* (exp 1.0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0.5 1) 1)))) into (* 0.5 (exp 1.0))
4.242 * [backup-simplify]: Simplify (* 0.5 (exp 1.0)) into (* 0.5 (exp 1.0))
4.243 * [backup-simplify]: Simplify (+ (* (* 0.5 (exp 1.0)) (pow (* im 1) 2)) (+ (* (* -0.5 (exp 1.0)) (pow (* 1 re) 2)) (exp 1.0))) into (- (+ (exp 1.0) (* 0.5 (* (exp 1.0) (pow im 2)))) (* 0.5 (* (exp 1.0) (pow re 2))))
4.244 * [backup-simplify]: Simplify (exp (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.244 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0
4.244 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im
4.244 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
4.244 * [taylor]: Taking taylor expansion of 0.5 in im
4.244 * [backup-simplify]: Simplify 0.5 into 0.5
4.244 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
4.244 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
4.244 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.244 * [taylor]: Taking taylor expansion of re in im
4.244 * [backup-simplify]: Simplify re into re
4.244 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.244 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
4.244 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
4.244 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
4.244 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
4.244 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
4.244 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.244 * [taylor]: Taking taylor expansion of im in im
4.244 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify 1 into 1
4.244 * [backup-simplify]: Simplify (/ 1 1) into 1
4.245 * [backup-simplify]: Simplify (- 1) into -1
4.245 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
4.245 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
4.245 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.245 * [taylor]: Taking taylor expansion of im in im
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify 1 into 1
4.245 * [backup-simplify]: Simplify (/ 1 1) into 1
4.245 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.245 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
4.245 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
4.245 * [backup-simplify]: Simplify (- 0) into 0
4.246 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
4.246 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
4.246 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
4.246 * [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)))))
4.246 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.246 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re
4.246 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
4.246 * [taylor]: Taking taylor expansion of 0.5 in re
4.246 * [backup-simplify]: Simplify 0.5 into 0.5
4.246 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
4.246 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
4.246 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.246 * [taylor]: Taking taylor expansion of re in re
4.246 * [backup-simplify]: Simplify 0 into 0
4.246 * [backup-simplify]: Simplify 1 into 1
4.246 * [backup-simplify]: Simplify (/ 1 1) into 1
4.247 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
4.247 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
4.247 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
4.247 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
4.247 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.247 * [taylor]: Taking taylor expansion of im in re
4.247 * [backup-simplify]: Simplify im into im
4.247 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.247 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.247 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.247 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
4.247 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
4.247 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.247 * [taylor]: Taking taylor expansion of im in re
4.247 * [backup-simplify]: Simplify im into im
4.247 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.247 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.247 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
4.247 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
4.247 * [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)))))
4.248 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.248 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re
4.248 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
4.248 * [taylor]: Taking taylor expansion of 0.5 in re
4.248 * [backup-simplify]: Simplify 0.5 into 0.5
4.248 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
4.248 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
4.248 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.248 * [taylor]: Taking taylor expansion of re in re
4.248 * [backup-simplify]: Simplify 0 into 0
4.248 * [backup-simplify]: Simplify 1 into 1
4.248 * [backup-simplify]: Simplify (/ 1 1) into 1
4.248 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
4.248 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
4.248 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
4.248 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
4.248 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.248 * [taylor]: Taking taylor expansion of im in re
4.248 * [backup-simplify]: Simplify im into im
4.248 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.248 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.248 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.248 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
4.248 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
4.248 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.248 * [taylor]: Taking taylor expansion of im in re
4.248 * [backup-simplify]: Simplify im into im
4.248 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.249 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.249 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
4.249 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
4.249 * [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)))))
4.249 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.249 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im
4.249 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
4.249 * [taylor]: Taking taylor expansion of 0.5 in im
4.249 * [backup-simplify]: Simplify 0.5 into 0.5
4.249 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
4.249 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
4.249 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.249 * [taylor]: Taking taylor expansion of re in im
4.249 * [backup-simplify]: Simplify re into re
4.249 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.249 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
4.249 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
4.249 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
4.250 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
4.250 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
4.250 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.250 * [taylor]: Taking taylor expansion of im in im
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify 1 into 1
4.250 * [backup-simplify]: Simplify (/ 1 1) into 1
4.250 * [backup-simplify]: Simplify (- 1) into -1
4.250 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
4.250 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
4.250 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.250 * [taylor]: Taking taylor expansion of im in im
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify 1 into 1
4.250 * [backup-simplify]: Simplify (/ 1 1) into 1
4.251 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.251 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
4.251 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
4.251 * [backup-simplify]: Simplify (- 0) into 0
4.251 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
4.251 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
4.251 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
4.251 * [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)))))
4.252 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.252 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.252 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.252 * [backup-simplify]: Simplify (- 0) into 0
4.253 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
4.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.254 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.254 * [backup-simplify]: Simplify (+ 0 0) into 0
4.254 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
4.255 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.255 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.255 * [taylor]: Taking taylor expansion of 0 in im
4.255 * [backup-simplify]: Simplify 0 into 0
4.255 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify (+ 0 0) into 0
4.256 * [backup-simplify]: Simplify (+ 0) into 0
4.256 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0
4.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.257 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0
4.257 * [backup-simplify]: Simplify (- 0) into 0
4.258 * [backup-simplify]: Simplify (+ 0 0) into 0
4.258 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
4.258 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.259 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.259 * [backup-simplify]: Simplify 0 into 0
4.259 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.259 * [backup-simplify]: Simplify (- 0) into 0
4.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.260 * [backup-simplify]: Simplify (- 0) into 0
4.261 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.262 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.262 * [backup-simplify]: Simplify (+ 0 0) into 0
4.262 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.263 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
4.264 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.264 * [taylor]: Taking taylor expansion of 0 in im
4.264 * [backup-simplify]: Simplify 0 into 0
4.264 * [backup-simplify]: Simplify 0 into 0
4.264 * [backup-simplify]: Simplify 0 into 0
4.264 * [backup-simplify]: Simplify (+ 0 0) into 0
4.265 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.265 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
4.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.266 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
4.267 * [backup-simplify]: Simplify (- 0) into 0
4.268 * [backup-simplify]: Simplify (+ 0 0) into 0
4.268 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.269 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
4.271 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.271 * [backup-simplify]: Simplify 0 into 0
4.271 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.272 * [backup-simplify]: Simplify (- 0) into 0
4.272 * [backup-simplify]: Simplify (- 0) into 0
4.272 * [backup-simplify]: Simplify (- 0) into 0
4.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.273 * [backup-simplify]: Simplify (- 0) into 0
4.275 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.277 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.277 * [backup-simplify]: Simplify (+ 0 0) into 0
4.278 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
4.280 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0
4.282 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.282 * [taylor]: Taking taylor expansion of 0 in im
4.282 * [backup-simplify]: Simplify 0 into 0
4.282 * [backup-simplify]: Simplify 0 into 0
4.283 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 (/ 1 re))) (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im))))))) into (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))
4.283 * [backup-simplify]: Simplify (exp (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.283 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in (re im) around 0
4.283 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im
4.283 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
4.283 * [taylor]: Taking taylor expansion of 0.5 in im
4.283 * [backup-simplify]: Simplify 0.5 into 0.5
4.283 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
4.283 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
4.283 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
4.283 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.283 * [taylor]: Taking taylor expansion of -1 in im
4.283 * [backup-simplify]: Simplify -1 into -1
4.284 * [taylor]: Taking taylor expansion of im in im
4.284 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify 1 into 1
4.284 * [backup-simplify]: Simplify (/ -1 1) into -1
4.284 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
4.284 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
4.284 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.284 * [taylor]: Taking taylor expansion of im in im
4.284 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify 1 into 1
4.285 * [backup-simplify]: Simplify (/ 1 1) into 1
4.285 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.285 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
4.285 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.285 * [taylor]: Taking taylor expansion of -1 in im
4.285 * [backup-simplify]: Simplify -1 into -1
4.285 * [taylor]: Taking taylor expansion of re in im
4.285 * [backup-simplify]: Simplify re into re
4.285 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.285 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
4.285 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
4.285 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
4.286 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
4.286 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
4.286 * [backup-simplify]: Simplify (- 0) into 0
4.286 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
4.287 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
4.287 * [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))))
4.287 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.287 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re
4.287 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
4.287 * [taylor]: Taking taylor expansion of 0.5 in re
4.287 * [backup-simplify]: Simplify 0.5 into 0.5
4.287 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
4.287 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
4.287 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
4.287 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.287 * [taylor]: Taking taylor expansion of -1 in re
4.287 * [backup-simplify]: Simplify -1 into -1
4.287 * [taylor]: Taking taylor expansion of im in re
4.288 * [backup-simplify]: Simplify im into im
4.288 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.288 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
4.288 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
4.288 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.288 * [taylor]: Taking taylor expansion of im in re
4.288 * [backup-simplify]: Simplify im into im
4.288 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.288 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.288 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
4.288 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.288 * [taylor]: Taking taylor expansion of -1 in re
4.288 * [backup-simplify]: Simplify -1 into -1
4.288 * [taylor]: Taking taylor expansion of re in re
4.288 * [backup-simplify]: Simplify 0 into 0
4.288 * [backup-simplify]: Simplify 1 into 1
4.289 * [backup-simplify]: Simplify (/ -1 1) into -1
4.289 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
4.289 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
4.289 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
4.289 * [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))))
4.290 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.290 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re
4.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
4.290 * [taylor]: Taking taylor expansion of 0.5 in re
4.290 * [backup-simplify]: Simplify 0.5 into 0.5
4.290 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
4.290 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
4.290 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
4.290 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.290 * [taylor]: Taking taylor expansion of -1 in re
4.290 * [backup-simplify]: Simplify -1 into -1
4.290 * [taylor]: Taking taylor expansion of im in re
4.290 * [backup-simplify]: Simplify im into im
4.290 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.290 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
4.290 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
4.290 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.290 * [taylor]: Taking taylor expansion of im in re
4.291 * [backup-simplify]: Simplify im into im
4.291 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.291 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.291 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
4.291 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.291 * [taylor]: Taking taylor expansion of -1 in re
4.291 * [backup-simplify]: Simplify -1 into -1
4.291 * [taylor]: Taking taylor expansion of re in re
4.291 * [backup-simplify]: Simplify 0 into 0
4.291 * [backup-simplify]: Simplify 1 into 1
4.291 * [backup-simplify]: Simplify (/ -1 1) into -1
4.292 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
4.292 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
4.292 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
4.292 * [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))))
4.293 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.293 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im
4.293 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
4.293 * [taylor]: Taking taylor expansion of 0.5 in im
4.293 * [backup-simplify]: Simplify 0.5 into 0.5
4.293 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
4.293 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
4.293 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
4.293 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.293 * [taylor]: Taking taylor expansion of -1 in im
4.293 * [backup-simplify]: Simplify -1 into -1
4.293 * [taylor]: Taking taylor expansion of im in im
4.293 * [backup-simplify]: Simplify 0 into 0
4.293 * [backup-simplify]: Simplify 1 into 1
4.294 * [backup-simplify]: Simplify (/ -1 1) into -1
4.294 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
4.294 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
4.294 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.294 * [taylor]: Taking taylor expansion of im in im
4.294 * [backup-simplify]: Simplify 0 into 0
4.294 * [backup-simplify]: Simplify 1 into 1
4.294 * [backup-simplify]: Simplify (/ 1 1) into 1
4.294 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.294 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
4.294 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.294 * [taylor]: Taking taylor expansion of -1 in im
4.295 * [backup-simplify]: Simplify -1 into -1
4.295 * [taylor]: Taking taylor expansion of re in im
4.295 * [backup-simplify]: Simplify re into re
4.295 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.295 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
4.295 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
4.295 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
4.295 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
4.295 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
4.296 * [backup-simplify]: Simplify (- 0) into 0
4.296 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
4.296 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
4.296 * [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))))
4.296 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.297 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.297 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.298 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.299 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.299 * [backup-simplify]: Simplify (+ 0 0) into 0
4.299 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
4.300 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
4.301 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.301 * [taylor]: Taking taylor expansion of 0 in im
4.301 * [backup-simplify]: Simplify 0 into 0
4.301 * [backup-simplify]: Simplify 0 into 0
4.302 * [backup-simplify]: Simplify (+ 0) into 0
4.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0
4.302 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
4.303 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0
4.304 * [backup-simplify]: Simplify (- 0) into 0
4.305 * [backup-simplify]: Simplify (+ 0 0) into 0
4.305 * [backup-simplify]: Simplify (+ 0 0) into 0
4.305 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
4.306 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
4.307 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.307 * [backup-simplify]: Simplify 0 into 0
4.307 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.309 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.310 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.311 * [backup-simplify]: Simplify (+ 0 0) into 0
4.312 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
4.313 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
4.314 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.314 * [taylor]: Taking taylor expansion of 0 in im
4.314 * [backup-simplify]: Simplify 0 into 0
4.314 * [backup-simplify]: Simplify 0 into 0
4.314 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.316 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
4.316 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.317 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.318 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
4.318 * [backup-simplify]: Simplify (- 0) into 0
4.319 * [backup-simplify]: Simplify (+ 0 0) into 0
4.319 * [backup-simplify]: Simplify (+ 0 0) into 0
4.320 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
4.321 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
4.323 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.323 * [backup-simplify]: Simplify 0 into 0
4.323 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.325 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.327 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.328 * [backup-simplify]: Simplify (+ 0 0) into 0
4.329 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0
4.330 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0
4.332 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.333 * [taylor]: Taking taylor expansion of 0 in im
4.333 * [backup-simplify]: Simplify 0 into 0
4.333 * [backup-simplify]: Simplify 0 into 0
4.333 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) (cos (/ -1 (/ 1 (- re))))))) into (exp (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))))
4.333 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
4.334 * [backup-simplify]: Simplify (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) into (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))
4.334 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in (re im) around 0
4.334 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in im
4.334 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im
4.334 * [taylor]: Taking taylor expansion of 0.5 in im
4.334 * [backup-simplify]: Simplify 0.5 into 0.5
4.334 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im
4.334 * [taylor]: Taking taylor expansion of (cos re) in im
4.334 * [taylor]: Taking taylor expansion of re in im
4.334 * [backup-simplify]: Simplify re into re
4.334 * [backup-simplify]: Simplify (cos re) into (cos re)
4.334 * [backup-simplify]: Simplify (sin re) into (sin re)
4.334 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
4.334 * [taylor]: Taking taylor expansion of (exp im) in im
4.334 * [taylor]: Taking taylor expansion of im in im
4.334 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify 1 into 1
4.334 * [backup-simplify]: Simplify (exp 0) into 1
4.334 * [taylor]: Taking taylor expansion of (exp (- im)) in im
4.334 * [taylor]: Taking taylor expansion of (- im) in im
4.334 * [taylor]: Taking taylor expansion of im in im
4.334 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify 1 into 1
4.335 * [backup-simplify]: Simplify (- 0) into 0
4.335 * [backup-simplify]: Simplify (- 1) into -1
4.335 * [backup-simplify]: Simplify (exp 0) into 1
4.335 * [backup-simplify]: Simplify (* (cos re) 1) into (cos re)
4.335 * [backup-simplify]: Simplify (* (sin re) 0) into 0
4.336 * [backup-simplify]: Simplify (- 0) into 0
4.336 * [backup-simplify]: Simplify (+ (cos re) 0) into (cos re)
4.336 * [backup-simplify]: Simplify (+ 1 1) into 2
4.336 * [backup-simplify]: Simplify (* (cos re) 2) into (* 2 (cos re))
4.336 * [backup-simplify]: Simplify (* 0.5 (* 2 (cos re))) into (* 1.0 (cos re))
4.337 * [backup-simplify]: Simplify (exp (* 1.0 (cos re))) into (exp (* 1.0 (cos re)))
4.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re
4.337 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
4.337 * [taylor]: Taking taylor expansion of 0.5 in re
4.337 * [backup-simplify]: Simplify 0.5 into 0.5
4.337 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
4.337 * [taylor]: Taking taylor expansion of (cos re) in re
4.337 * [taylor]: Taking taylor expansion of re in re
4.337 * [backup-simplify]: Simplify 0 into 0
4.337 * [backup-simplify]: Simplify 1 into 1
4.337 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
4.337 * [taylor]: Taking taylor expansion of (exp im) in re
4.337 * [taylor]: Taking taylor expansion of im in re
4.337 * [backup-simplify]: Simplify im into im
4.337 * [backup-simplify]: Simplify (exp im) into (exp im)
4.337 * [taylor]: Taking taylor expansion of (exp (- im)) in re
4.337 * [taylor]: Taking taylor expansion of (- im) in re
4.337 * [taylor]: Taking taylor expansion of im in re
4.337 * [backup-simplify]: Simplify im into im
4.337 * [backup-simplify]: Simplify (- im) into (- im)
4.337 * [backup-simplify]: Simplify (- im) into (- im)
4.337 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
4.338 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
4.338 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
4.338 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
4.338 * [backup-simplify]: Simplify (exp (* 0.5 (+ (exp im) (exp (- im))))) into (exp (* 0.5 (+ (exp im) (exp (- im)))))
4.338 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) in re
4.338 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re
4.338 * [taylor]: Taking taylor expansion of 0.5 in re
4.338 * [backup-simplify]: Simplify 0.5 into 0.5
4.338 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re
4.338 * [taylor]: Taking taylor expansion of (cos re) in re
4.338 * [taylor]: Taking taylor expansion of re in re
4.338 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify 1 into 1
4.338 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re
4.339 * [taylor]: Taking taylor expansion of (exp im) in re
4.339 * [taylor]: Taking taylor expansion of im in re
4.339 * [backup-simplify]: Simplify im into im
4.339 * [backup-simplify]: Simplify (exp im) into (exp im)
4.339 * [taylor]: Taking taylor expansion of (exp (- im)) in re
4.339 * [taylor]: Taking taylor expansion of (- im) in re
4.339 * [taylor]: Taking taylor expansion of im in re
4.339 * [backup-simplify]: Simplify im into im
4.339 * [backup-simplify]: Simplify (- im) into (- im)
4.339 * [backup-simplify]: Simplify (- im) into (- im)
4.339 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im))
4.339 * [backup-simplify]: Simplify (+ (exp im) (exp (- im))) into (+ (exp im) (exp (- im)))
4.339 * [backup-simplify]: Simplify (* 1 (+ (exp im) (exp (- im)))) into (+ (exp im) (exp (- im)))
4.339 * [backup-simplify]: Simplify (* 0.5 (+ (exp im) (exp (- im)))) into (* 0.5 (+ (exp im) (exp (- im))))
4.340 * [backup-simplify]: Simplify (exp (* 0.5 (+ (exp im) (exp (- im))))) into (exp (* 0.5 (+ (exp im) (exp (- im)))))
4.340 * [taylor]: Taking taylor expansion of (exp (* 0.5 (+ (exp im) (exp (- im))))) in im
4.340 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im
4.340 * [taylor]: Taking taylor expansion of 0.5 in im
4.340 * [backup-simplify]: Simplify 0.5 into 0.5
4.340 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
4.340 * [taylor]: Taking taylor expansion of (exp im) in im
4.340 * [taylor]: Taking taylor expansion of im in im
4.340 * [backup-simplify]: Simplify 0 into 0
4.340 * [backup-simplify]: Simplify 1 into 1
4.340 * [backup-simplify]: Simplify (exp 0) into 1
4.340 * [taylor]: Taking taylor expansion of (exp (- im)) in im
4.340 * [taylor]: Taking taylor expansion of (- im) in im
4.340 * [taylor]: Taking taylor expansion of im in im
4.340 * [backup-simplify]: Simplify 0 into 0
4.340 * [backup-simplify]: Simplify 1 into 1
4.341 * [backup-simplify]: Simplify (- 0) into 0
4.342 * [backup-simplify]: Simplify (- 1) into -1
4.342 * [backup-simplify]: Simplify (exp 0) into 1
4.342 * [backup-simplify]: Simplify (+ 1 1) into 2
4.343 * [backup-simplify]: Simplify (* 0.5 2) into 1.0
4.343 * [backup-simplify]: Simplify (exp 1.0) into (exp 1.0)
4.343 * [backup-simplify]: Simplify (exp 1.0) into (exp 1.0)
4.344 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0
4.344 * [backup-simplify]: Simplify (- im) into (- im)
4.345 * [backup-simplify]: Simplify (- 0) into 0
4.346 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.346 * [backup-simplify]: Simplify (+ 0 0) into 0
4.346 * [backup-simplify]: Simplify (+ 0) into 0
4.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp im) (exp (- im))))) into 0
4.347 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp im) (exp (- im))))) into 0
4.347 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.347 * [taylor]: Taking taylor expansion of 0 in im
4.347 * [backup-simplify]: Simplify 0 into 0
4.347 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
4.348 * [backup-simplify]: Simplify (- 1) into -1
4.349 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
4.349 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0
4.351 * [backup-simplify]: Simplify (* (exp 1.0) (+ (* (/ (pow 0 1) 1)))) into 0
4.351 * [backup-simplify]: Simplify 0 into 0
4.352 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.352 * [backup-simplify]: Simplify (- im) into (- im)
4.352 * [backup-simplify]: Simplify (- 0) into 0
4.353 * [backup-simplify]: Simplify (- 0) into 0
4.354 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.354 * [backup-simplify]: Simplify (+ 0 0) into 0
4.354 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp im) (exp (- im)))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (exp (- im)))))
4.356 * [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)))))
4.356 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) 1) 1)))) into (* -1 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))))
4.356 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))))) in im
4.356 * [taylor]: Taking taylor expansion of -1 in im
4.356 * [backup-simplify]: Simplify -1 into -1
4.356 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (+ (exp im) (exp (- im))))) (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im
4.356 * [taylor]: Taking taylor expansion of (exp (* 0.5 (+ (exp im) (exp (- im))))) in im
4.356 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im
4.356 * [taylor]: Taking taylor expansion of 0.5 in im
4.356 * [backup-simplify]: Simplify 0.5 into 0.5
4.356 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im
4.357 * [taylor]: Taking taylor expansion of (exp im) in im
4.357 * [taylor]: Taking taylor expansion of im in im
4.357 * [backup-simplify]: Simplify 0 into 0
4.357 * [backup-simplify]: Simplify 1 into 1
4.357 * [backup-simplify]: Simplify (exp 0) into 1
4.357 * [taylor]: Taking taylor expansion of (exp (- im)) in im
4.357 * [taylor]: Taking taylor expansion of (- im) in im
4.357 * [taylor]: Taking taylor expansion of im in im
4.357 * [backup-simplify]: Simplify 0 into 0
4.357 * [backup-simplify]: Simplify 1 into 1
4.357 * [backup-simplify]: Simplify (- 0) into 0
4.357 * [backup-simplify]: Simplify (- 1) into -1
4.357 * [backup-simplify]: Simplify (exp 0) into 1
4.357 * [backup-simplify]: Simplify (+ 1 1) into 2
4.358 * [backup-simplify]: Simplify (* 0.5 2) into 1.0
4.358 * [backup-simplify]: Simplify (exp 1.0) into (exp 1.0)
4.358 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im
4.358 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im
4.358 * [taylor]: Taking taylor expansion of 0.25 in im
4.358 * [backup-simplify]: Simplify 0.25 into 0.25
4.358 * [taylor]: Taking taylor expansion of (exp im) in im
4.358 * [taylor]: Taking taylor expansion of im in im
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify 1 into 1
4.358 * [backup-simplify]: Simplify (exp 0) into 1
4.358 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im
4.358 * [taylor]: Taking taylor expansion of 0.25 in im
4.358 * [backup-simplify]: Simplify 0.25 into 0.25
4.358 * [taylor]: Taking taylor expansion of (exp (- im)) in im
4.358 * [taylor]: Taking taylor expansion of (- im) in im
4.358 * [taylor]: Taking taylor expansion of im in im
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify 1 into 1
4.358 * [backup-simplify]: Simplify (- 0) into 0
4.359 * [backup-simplify]: Simplify (- 1) into -1
4.359 * [backup-simplify]: Simplify (exp 0) into 1
4.359 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
4.359 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
4.359 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5
4.360 * [backup-simplify]: Simplify (* (exp 1.0) 0.5) into (* 0.5 (exp 1.0))
4.361 * [backup-simplify]: Simplify (* -1 (* 0.5 (exp 1.0))) into (* -0.5 (exp 1.0))
4.362 * [backup-simplify]: Simplify (* -0.5 (exp 1.0)) into (* -0.5 (exp 1.0))
4.362 * [backup-simplify]: Simplify 0 into 0
4.363 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
4.363 * [backup-simplify]: Simplify (- 1) into -1
4.363 * [backup-simplify]: Simplify (- 0) into 0
4.364 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
4.364 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
4.366 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5
4.369 * [backup-simplify]: Simplify (* (exp 1.0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0.5 1) 1)))) into (* 0.5 (exp 1.0))
4.370 * [backup-simplify]: Simplify (* 0.5 (exp 1.0)) into (* 0.5 (exp 1.0))
4.378 * [backup-simplify]: Simplify (+ (* (* 0.5 (exp 1.0)) (pow (* im 1) 2)) (+ (* (* -0.5 (exp 1.0)) (pow (* 1 re) 2)) (exp 1.0))) into (- (+ (exp 1.0) (* 0.5 (* (exp 1.0) (pow im 2)))) (* 0.5 (* (exp 1.0) (pow re 2))))
4.379 * [backup-simplify]: Simplify (exp (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.379 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in (re im) around 0
4.379 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im
4.379 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
4.379 * [taylor]: Taking taylor expansion of 0.5 in im
4.379 * [backup-simplify]: Simplify 0.5 into 0.5
4.379 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
4.379 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
4.379 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.379 * [taylor]: Taking taylor expansion of re in im
4.379 * [backup-simplify]: Simplify re into re
4.379 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.379 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
4.379 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
4.379 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
4.379 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
4.379 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
4.379 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.379 * [taylor]: Taking taylor expansion of im in im
4.379 * [backup-simplify]: Simplify 0 into 0
4.379 * [backup-simplify]: Simplify 1 into 1
4.380 * [backup-simplify]: Simplify (/ 1 1) into 1
4.380 * [backup-simplify]: Simplify (- 1) into -1
4.380 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
4.380 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
4.380 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.380 * [taylor]: Taking taylor expansion of im in im
4.380 * [backup-simplify]: Simplify 0 into 0
4.380 * [backup-simplify]: Simplify 1 into 1
4.381 * [backup-simplify]: Simplify (/ 1 1) into 1
4.381 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.381 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
4.381 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
4.381 * [backup-simplify]: Simplify (- 0) into 0
4.382 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
4.382 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
4.382 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
4.382 * [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)))))
4.383 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.383 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re
4.383 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
4.383 * [taylor]: Taking taylor expansion of 0.5 in re
4.383 * [backup-simplify]: Simplify 0.5 into 0.5
4.383 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
4.383 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
4.383 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.383 * [taylor]: Taking taylor expansion of re in re
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify 1 into 1
4.383 * [backup-simplify]: Simplify (/ 1 1) into 1
4.383 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
4.383 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
4.384 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
4.384 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
4.384 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.384 * [taylor]: Taking taylor expansion of im in re
4.384 * [backup-simplify]: Simplify im into im
4.384 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.384 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.384 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.384 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
4.384 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
4.384 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.384 * [taylor]: Taking taylor expansion of im in re
4.384 * [backup-simplify]: Simplify im into im
4.384 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.384 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.384 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
4.385 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
4.385 * [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)))))
4.385 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.385 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in re
4.385 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re
4.385 * [taylor]: Taking taylor expansion of 0.5 in re
4.385 * [backup-simplify]: Simplify 0.5 into 0.5
4.385 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re
4.385 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re
4.385 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.386 * [taylor]: Taking taylor expansion of re in re
4.386 * [backup-simplify]: Simplify 0 into 0
4.386 * [backup-simplify]: Simplify 1 into 1
4.386 * [backup-simplify]: Simplify (/ 1 1) into 1
4.386 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
4.386 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re
4.386 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re
4.386 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re
4.386 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.386 * [taylor]: Taking taylor expansion of im in re
4.386 * [backup-simplify]: Simplify im into im
4.386 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.386 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.386 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.387 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
4.387 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
4.387 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.387 * [taylor]: Taking taylor expansion of im in re
4.387 * [backup-simplify]: Simplify im into im
4.387 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.387 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.387 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
4.387 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
4.388 * [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)))))
4.388 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.388 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) in im
4.388 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im
4.388 * [taylor]: Taking taylor expansion of 0.5 in im
4.388 * [backup-simplify]: Simplify 0.5 into 0.5
4.388 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im
4.388 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im
4.388 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.388 * [taylor]: Taking taylor expansion of re in im
4.388 * [backup-simplify]: Simplify re into re
4.388 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.388 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re))
4.388 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re))
4.389 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im
4.389 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im
4.389 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im
4.389 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.389 * [taylor]: Taking taylor expansion of im in im
4.389 * [backup-simplify]: Simplify 0 into 0
4.389 * [backup-simplify]: Simplify 1 into 1
4.389 * [backup-simplify]: Simplify (/ 1 1) into 1
4.390 * [backup-simplify]: Simplify (- 1) into -1
4.390 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im)))
4.390 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
4.390 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.390 * [taylor]: Taking taylor expansion of im in im
4.390 * [backup-simplify]: Simplify 0 into 0
4.390 * [backup-simplify]: Simplify 1 into 1
4.390 * [backup-simplify]: Simplify (/ 1 1) into 1
4.390 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.390 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re))
4.390 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0
4.391 * [backup-simplify]: Simplify (- 0) into 0
4.391 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re))
4.391 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im)))
4.391 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))
4.392 * [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)))))
4.392 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.392 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))
4.392 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.393 * [backup-simplify]: Simplify (- 0) into 0
4.394 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0
4.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.395 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.395 * [backup-simplify]: Simplify (+ 0 0) into 0
4.396 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
4.396 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.397 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.397 * [taylor]: Taking taylor expansion of 0 in im
4.397 * [backup-simplify]: Simplify 0 into 0
4.397 * [backup-simplify]: Simplify 0 into 0
4.398 * [backup-simplify]: Simplify (+ 0 0) into 0
4.398 * [backup-simplify]: Simplify (+ 0) into 0
4.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0
4.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
4.400 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.400 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0
4.401 * [backup-simplify]: Simplify (- 0) into 0
4.401 * [backup-simplify]: Simplify (+ 0 0) into 0
4.401 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) into 0
4.402 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.403 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.403 * [backup-simplify]: Simplify 0 into 0
4.403 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.404 * [backup-simplify]: Simplify (- 0) into 0
4.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.404 * [backup-simplify]: Simplify (- 0) into 0
4.406 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.408 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.408 * [backup-simplify]: Simplify (+ 0 0) into 0
4.409 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.410 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
4.412 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.412 * [taylor]: Taking taylor expansion of 0 in im
4.412 * [backup-simplify]: Simplify 0 into 0
4.412 * [backup-simplify]: Simplify 0 into 0
4.412 * [backup-simplify]: Simplify 0 into 0
4.412 * [backup-simplify]: Simplify (+ 0 0) into 0
4.413 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.414 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
4.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.415 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.416 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
4.416 * [backup-simplify]: Simplify (- 0) into 0
4.416 * [backup-simplify]: Simplify (+ 0 0) into 0
4.417 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) into 0
4.418 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
4.420 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.420 * [backup-simplify]: Simplify 0 into 0
4.420 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im))
4.420 * [backup-simplify]: Simplify (- 0) into 0
4.421 * [backup-simplify]: Simplify (- 0) into 0
4.421 * [backup-simplify]: Simplify (- 0) into 0
4.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.422 * [backup-simplify]: Simplify (- 0) into 0
4.423 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.425 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.426 * [backup-simplify]: Simplify (+ 0 0) into 0
4.426 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (exp (- (/ 1 im))) (exp (/ 1 im))))))) into 0
4.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))))) into 0
4.428 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.428 * [taylor]: Taking taylor expansion of 0 in im
4.428 * [backup-simplify]: Simplify 0 into 0
4.428 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify (exp (* 0.5 (* (cos (/ 1 (/ 1 re))) (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im))))))) into (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))
4.429 * [backup-simplify]: Simplify (exp (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.429 * [approximate]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in (re im) around 0
4.429 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im
4.429 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
4.429 * [taylor]: Taking taylor expansion of 0.5 in im
4.429 * [backup-simplify]: Simplify 0.5 into 0.5
4.429 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
4.429 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
4.429 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
4.429 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.429 * [taylor]: Taking taylor expansion of -1 in im
4.429 * [backup-simplify]: Simplify -1 into -1
4.429 * [taylor]: Taking taylor expansion of im in im
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify 1 into 1
4.429 * [backup-simplify]: Simplify (/ -1 1) into -1
4.429 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
4.429 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
4.429 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.429 * [taylor]: Taking taylor expansion of im in im
4.430 * [backup-simplify]: Simplify 0 into 0
4.430 * [backup-simplify]: Simplify 1 into 1
4.430 * [backup-simplify]: Simplify (/ 1 1) into 1
4.430 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.430 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
4.430 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.430 * [taylor]: Taking taylor expansion of -1 in im
4.430 * [backup-simplify]: Simplify -1 into -1
4.430 * [taylor]: Taking taylor expansion of re in im
4.430 * [backup-simplify]: Simplify re into re
4.430 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.430 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
4.430 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
4.430 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
4.430 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
4.430 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
4.431 * [backup-simplify]: Simplify (- 0) into 0
4.431 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
4.431 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
4.431 * [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))))
4.431 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.431 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re
4.431 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
4.431 * [taylor]: Taking taylor expansion of 0.5 in re
4.431 * [backup-simplify]: Simplify 0.5 into 0.5
4.431 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
4.431 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
4.431 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
4.431 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.431 * [taylor]: Taking taylor expansion of -1 in re
4.431 * [backup-simplify]: Simplify -1 into -1
4.431 * [taylor]: Taking taylor expansion of im in re
4.431 * [backup-simplify]: Simplify im into im
4.431 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.431 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
4.431 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
4.431 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.431 * [taylor]: Taking taylor expansion of im in re
4.431 * [backup-simplify]: Simplify im into im
4.431 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.431 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.432 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
4.432 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.432 * [taylor]: Taking taylor expansion of -1 in re
4.432 * [backup-simplify]: Simplify -1 into -1
4.432 * [taylor]: Taking taylor expansion of re in re
4.432 * [backup-simplify]: Simplify 0 into 0
4.432 * [backup-simplify]: Simplify 1 into 1
4.432 * [backup-simplify]: Simplify (/ -1 1) into -1
4.432 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
4.432 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
4.432 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
4.432 * [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))))
4.432 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in re
4.433 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re
4.433 * [taylor]: Taking taylor expansion of 0.5 in re
4.433 * [backup-simplify]: Simplify 0.5 into 0.5
4.433 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re
4.433 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re
4.433 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re
4.433 * [taylor]: Taking taylor expansion of (/ -1 im) in re
4.433 * [taylor]: Taking taylor expansion of -1 in re
4.433 * [backup-simplify]: Simplify -1 into -1
4.433 * [taylor]: Taking taylor expansion of im in re
4.433 * [backup-simplify]: Simplify im into im
4.433 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
4.433 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
4.433 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re
4.433 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.433 * [taylor]: Taking taylor expansion of im in re
4.433 * [backup-simplify]: Simplify im into im
4.433 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.433 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.433 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re
4.433 * [taylor]: Taking taylor expansion of (/ -1 re) in re
4.433 * [taylor]: Taking taylor expansion of -1 in re
4.433 * [backup-simplify]: Simplify -1 into -1
4.433 * [taylor]: Taking taylor expansion of re in re
4.433 * [backup-simplify]: Simplify 0 into 0
4.433 * [backup-simplify]: Simplify 1 into 1
4.433 * [backup-simplify]: Simplify (/ -1 1) into -1
4.433 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
4.433 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
4.434 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
4.434 * [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))))
4.434 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.434 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) in im
4.434 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im
4.434 * [taylor]: Taking taylor expansion of 0.5 in im
4.434 * [backup-simplify]: Simplify 0.5 into 0.5
4.434 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im
4.434 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im
4.434 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im
4.434 * [taylor]: Taking taylor expansion of (/ -1 im) in im
4.434 * [taylor]: Taking taylor expansion of -1 in im
4.434 * [backup-simplify]: Simplify -1 into -1
4.434 * [taylor]: Taking taylor expansion of im in im
4.434 * [backup-simplify]: Simplify 0 into 0
4.434 * [backup-simplify]: Simplify 1 into 1
4.434 * [backup-simplify]: Simplify (/ -1 1) into -1
4.435 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im))
4.435 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im
4.435 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.435 * [taylor]: Taking taylor expansion of im in im
4.435 * [backup-simplify]: Simplify 0 into 0
4.435 * [backup-simplify]: Simplify 1 into 1
4.435 * [backup-simplify]: Simplify (/ 1 1) into 1
4.435 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im))
4.435 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im
4.435 * [taylor]: Taking taylor expansion of (/ -1 re) in im
4.435 * [taylor]: Taking taylor expansion of -1 in im
4.435 * [backup-simplify]: Simplify -1 into -1
4.435 * [taylor]: Taking taylor expansion of re in im
4.435 * [backup-simplify]: Simplify re into re
4.435 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
4.435 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re))
4.435 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re))
4.435 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im)))
4.435 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re))
4.435 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0
4.436 * [backup-simplify]: Simplify (- 0) into 0
4.436 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re))
4.436 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))
4.436 * [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))))
4.436 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.436 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))
4.436 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
4.437 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
4.438 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0
4.438 * [backup-simplify]: Simplify (+ 0 0) into 0
4.438 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
4.438 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
4.439 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.439 * [taylor]: Taking taylor expansion of 0 in im
4.439 * [backup-simplify]: Simplify 0 into 0
4.439 * [backup-simplify]: Simplify 0 into 0
4.439 * [backup-simplify]: Simplify (+ 0) into 0
4.440 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0
4.440 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
4.440 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.441 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0
4.441 * [backup-simplify]: Simplify (- 0) into 0
4.441 * [backup-simplify]: Simplify (+ 0 0) into 0
4.441 * [backup-simplify]: Simplify (+ 0 0) into 0
4.441 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0
4.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0
4.442 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.443 * [backup-simplify]: Simplify 0 into 0
4.443 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.443 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.444 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.445 * [backup-simplify]: Simplify (+ 0 0) into 0
4.445 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
4.446 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
4.447 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.447 * [taylor]: Taking taylor expansion of 0 in im
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.448 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0
4.448 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
4.448 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.449 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0
4.449 * [backup-simplify]: Simplify (- 0) into 0
4.449 * [backup-simplify]: Simplify (+ 0 0) into 0
4.449 * [backup-simplify]: Simplify (+ 0 0) into 0
4.450 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0
4.450 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0
4.451 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.451 * [backup-simplify]: Simplify 0 into 0
4.452 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.453 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
4.454 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.454 * [backup-simplify]: Simplify (+ 0 0) into 0
4.455 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0
4.455 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0
4.456 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.456 * [taylor]: Taking taylor expansion of 0 in im
4.456 * [backup-simplify]: Simplify 0 into 0
4.457 * [backup-simplify]: Simplify 0 into 0
4.457 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) (cos (/ -1 (/ 1 (- re))))))) into (exp (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))))
4.457 * * * [progress]: simplifying candidates
4.459 * [simplify]: Simplifying:
  (log (* (cbrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (cbrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))
  (log (cbrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log (sqrt (exp (* (* 0.5 (cos re)) (exp (- im))))))
  (log (sqrt (exp (* (* 0.5 (cos re)) (exp im)))))
  (log (sqrt (exp (* (exp (- im)) (* 0.5 (cos re))))))
  (log (sqrt (exp (* (exp im) (* 0.5 (cos re))))))
  (log (sqrt (* (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))
  (log (sqrt (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log (sqrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log (sqrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log (sqrt 1))
  (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (log (sqrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log (sqrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log 1)
  (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (log (exp (* 0.5 (cos re))))
  (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (log (exp (* 0.5 (cos re))))
  (log (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (exp (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (* (cbrt (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))) (cbrt (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))
  (cbrt (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (* (* (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (sqrt (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (sqrt (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log (* (cbrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (cbrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))
  (log (cbrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log (sqrt (exp (* (* 0.5 (cos re)) (exp (- im))))))
  (log (sqrt (exp (* (* 0.5 (cos re)) (exp im)))))
  (log (sqrt (exp (* (exp (- im)) (* 0.5 (cos re))))))
  (log (sqrt (exp (* (exp im) (* 0.5 (cos re))))))
  (log (sqrt (* (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))
  (log (sqrt (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log (sqrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log (sqrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log (sqrt 1))
  (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (log (sqrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log (sqrt (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (log 1)
  (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (log (exp (* 0.5 (cos re))))
  (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (log (exp (* 0.5 (cos re))))
  (log (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (exp (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (* (cbrt (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))) (cbrt (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))
  (cbrt (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (* (* (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (sqrt (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (sqrt (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))))
  (exp (* 0.5 (cos re)))
  (exp (* (* 0.5 (cos re)) (exp (- im))))
  (exp (* (* 0.5 (cos re)) (exp im)))
  (exp (* (exp (- im)) (* 0.5 (cos re))))
  (exp (* (exp im) (* 0.5 (cos re))))
  (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (exp (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (* (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (* (* (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (exp (* 0.5 (cos re)))
  (exp (* (* 0.5 (cos re)) (exp (- im))))
  (exp (* (* 0.5 (cos re)) (exp im)))
  (exp (* (exp (- im)) (* 0.5 (cos re))))
  (exp (* (exp im) (* 0.5 (cos re))))
  (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (exp (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (* (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))
  (cbrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (* (* (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
  (- (+ (log (sqrt (exp 1.0))) (* 0.25 (pow im 2))) (* 0.25 (pow re 2)))
  (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))))
  (log (sqrt (exp (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))))))
  (- (+ (log (sqrt (exp 1.0))) (* 0.25 (pow im 2))) (* 0.25 (pow re 2)))
  (log (sqrt (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))))
  (log (sqrt (exp (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))))))
  (- (+ (exp 1.0) (* 0.5 (* (exp 1.0) (pow im 2)))) (* 0.5 (* (exp 1.0) (pow re 2))))
  (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))
  (exp (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))))
  (- (+ (exp 1.0) (* 0.5 (* (exp 1.0) (pow im 2)))) (* 0.5 (* (exp 1.0) (pow re 2))))
  (exp (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))))
  (exp (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))))
4.459 * [simplify]: Sending expressions to egg_math:
 (log (* (cbrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))) (cbrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))))
 (log (cbrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log (sqrt (exp (* (* h2 (cos h1)) (exp (- h0))))))
 (log (sqrt (exp (* (* h2 (cos h1)) (exp h0)))))
 (log (sqrt (exp (* (exp (- h0)) (* h2 (cos h1))))))
 (log (sqrt (exp (* (exp h0) (* h2 (cos h1))))))
 (log (sqrt (* (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))) (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))))
 (log (sqrt (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log (sqrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log (sqrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log (sqrt 1))
 (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (log (sqrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log (sqrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log 1)
 (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (log (exp (* h2 (cos h1))))
 (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (log (exp (* h2 (cos h1))))
 (log (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (exp (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (* (cbrt (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))) (cbrt (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))))
 (cbrt (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (* (* (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))) (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))) (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (sqrt (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (sqrt (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log (* (cbrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))) (cbrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))))
 (log (cbrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log (sqrt (exp (* (* h2 (cos h1)) (exp (- h0))))))
 (log (sqrt (exp (* (* h2 (cos h1)) (exp h0)))))
 (log (sqrt (exp (* (exp (- h0)) (* h2 (cos h1))))))
 (log (sqrt (exp (* (exp h0) (* h2 (cos h1))))))
 (log (sqrt (* (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))) (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))))
 (log (sqrt (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log (sqrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log (sqrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log (sqrt 1))
 (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (log (sqrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log (sqrt (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (log 1)
 (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (log (exp (* h2 (cos h1))))
 (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (log (exp (* h2 (cos h1))))
 (log (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (exp (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (* (cbrt (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))) (cbrt (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))))
 (cbrt (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (* (* (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))) (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))) (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (sqrt (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (sqrt (log (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))))
 (exp (* h2 (cos h1)))
 (exp (* (* h2 (cos h1)) (exp (- h0))))
 (exp (* (* h2 (cos h1)) (exp h0)))
 (exp (* (exp (- h0)) (* h2 (cos h1))))
 (exp (* (exp h0) (* h2 (cos h1))))
 (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (exp (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (* (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))) (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (* (* (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))) (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (exp (* h2 (cos h1)))
 (exp (* (* h2 (cos h1)) (exp (- h0))))
 (exp (* (* h2 (cos h1)) (exp h0)))
 (exp (* (exp (- h0)) (* h2 (cos h1))))
 (exp (* (exp h0) (* h2 (cos h1))))
 (log (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (exp (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (* (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))) (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))))
 (cbrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (* (* (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))) (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0))))) (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (sqrt (exp (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))))
 (- (+ (log (sqrt (exp 1.0))) (* h3 (pow h0 2))) (* h3 (pow h1 2)))
 (log (sqrt (exp (* h2 (* (cos h1) (+ (exp h0) (exp (- h0))))))))
 (log (sqrt (exp (* h2 (* (+ (exp (* -1 h0)) (exp h0)) (cos h1))))))
 (- (+ (log (sqrt (exp 1.0))) (* h3 (pow h0 2))) (* h3 (pow h1 2)))
 (log (sqrt (exp (* h2 (* (cos h1) (+ (exp h0) (exp (- h0))))))))
 (log (sqrt (exp (* h2 (* (+ (exp (* -1 h0)) (exp h0)) (cos h1))))))
 (- (+ (exp 1.0) (* h2 (* (exp 1.0) (pow h0 2)))) (* h2 (* (exp 1.0) (pow h1 2))))
 (exp (* h2 (* (cos h1) (+ (exp h0) (exp (- h0))))))
 (exp (* h2 (* (+ (exp (* -1 h0)) (exp h0)) (cos h1))))
 (- (+ (exp 1.0) (* h2 (* (exp 1.0) (pow h0 2)))) (* h2 (* (exp 1.0) (pow h1 2))))
 (exp (* h2 (* (cos h1) (+ (exp h0) (exp (- h0))))))
 (exp (* h2 (* (+ (exp (* -1 h0)) (exp h0)) (cos h1))))
5.048 * * * [progress]: adding candidates to table
5.454 * [progress]: [Phase 3 of 3] Extracting.
5.454 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))> #<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (+ (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))>)
5.454 * * * [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)
5.454 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (#<alt (λ (re im) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))> #<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (+ (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))>)
5.474 * * * * [regimes]: Trying to branch on (cos re) from (#<alt (λ (re im) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))> #<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (+ (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))>)
5.496 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (#<alt (λ (re im) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))> #<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (+ (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))>)
5.531 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (#<alt (λ (re im) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))> #<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (+ (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))>)
5.574 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))> #<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (+ (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))>)
5.598 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))> #<alt (λ (re im) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))> #<alt (λ (re im) (+ (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))) (log (sqrt (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))))>)
5.616 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
5.617 * [simplify]: Simplifying:
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
5.617 * [simplify]: Sending expressions to egg_math:
 (* (* h2 (cos h1)) (+ (exp (- h0)) (exp h0)))
13.081 * [regime-testing]: Baseline error score: 0.01069005813280747
13.083 * [regime-testing]: Oracle error score: 0.007772212151699251
13.089 * [regime-testing]: End program error score: 0.01069005813280747