* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (sqrt (+ (* re re) (* im im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 2
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (re im) (sqrt (+ (sqr re) (* im im))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr re) 0) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 im) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 15 ] simplifiying candidate #<alt-event (λ (re im) im)>
* [enter]simplify:  Simplifying im
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to im
* * * * [misc]progress:  [ 2 / 15 ] simplifiying candidate #<alt-event (λ (re im) re)>
* [enter]simplify:  Simplifying re
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to re
* * * * [misc]progress:  [ 3 / 15 ] simplifiying candidate #<alt-event (λ (re im) (* -1 re))>
* [enter]simplify:  Simplifying (* -1 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- re)
* * * * [misc]progress:  [ 4 / 15 ] simplifiying candidate #<alt-delta (λ (re im) (pow (+ (sqr re) (* im im)) 1/2))>
* * * * [misc]progress:  [ 5 / 15 ] simplifiying candidate #<alt-delta (λ (re im) (pow (sqrt (+ (sqr re) (* im im))) 1))>
* * * * [misc]progress:  [ 6 / 15 ] simplifiying candidate #<alt-delta (λ (re im) (exp (log (sqrt (+ (sqr re) (* im im))))))>
* [enter]simplify:  Simplifying (log (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (log (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 7 / 15 ] simplifiying candidate #<alt-delta (λ (re im) (log (exp (sqrt (+ (sqr re) (* im im))))))>
* [enter]simplify:  Simplifying (exp (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (exp (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 8 / 15 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (sqrt (+ (sqr re) (* im im))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 9 / 15 ] simplifiying candidate #<alt-delta (λ (re im) (cbrt (cube (sqrt (+ (sqr re) (* im im))))))>
* [enter]simplify:  Simplifying (cube (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (+ (sqr re) (* im im)) (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (* (+ (sqr re) (* im im)) (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 10 / 15 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt 1) (sqrt (+ (sqr re) (* im im)))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (+ (sqr re) (* im im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* * * * [misc]progress:  [ 11 / 15 ] simplifiying candidate #<alt-delta (λ (re im) (/ (sqrt (- (pow (sqr re) 3) (pow (* im im) 3))) (sqrt (+ (sqr (sqr re)) (- (sqr (* im im)) (* (sqr re) (* im im)))))))>
* [enter]simplify:  Simplifying (sqrt (- (pow (sqr re) 3) (pow (* im im) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ (cube re) (cube im)) (- (cube re) (cube im))))
* [exit]simplify:  Simplified to (sqrt (* (+ (cube re) (cube im)) (- (cube re) (cube im))))
* [enter]simplify:  Simplifying (sqrt (+ (sqr (sqr re)) (- (sqr (* im im)) (* (sqr re) (* im im)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (* im im) (* im im)) (- (sqr (* re im)) (* (sqr re) (sqr re)))))
* [exit]simplify:  Simplified to (sqrt (- (* (* im im) (* im im)) (- (sqr (* re im)) (* (sqr re) (sqr re)))))
* * * * [misc]progress:  [ 12 / 15 ] simplifiying candidate #<alt-delta (λ (re im) (/ (sqrt (- (sqr (sqr re)) (sqr (* im im)))) (sqrt (- (sqr re) (* im im)))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr (sqr re)) (sqr (* im im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (sqr re) (* im im)) (+ (* im im) (sqr re))))
* [exit]simplify:  Simplified to (sqrt (* (- (sqr re) (* im im)) (+ (* im im) (sqr re))))
* [enter]simplify:  Simplifying (sqrt (- (sqr re) (* im im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ re im) (- re im)))
* [exit]simplify:  Simplified to (sqrt (* (+ re im) (- re im)))
* * * * [misc]progress:  [ 13 / 15 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (sqrt (+ (sqr re) (* im im))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 14 / 15 ] simplifiying candidate #<alt-delta (λ (re im) (fabs (sqrt (+ (sqr re) (* im im)))))>
* * * * [misc]progress:  [ 15 / 15 ] simplifiying candidate #<alt-delta (λ (re im) (* 1 (sqrt (+ (sqr re) (* im im)))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 2
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (re im) (sqr (sqrt (sqrt (+ (sqr re) (* im im))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr re) 0) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 im) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr re) (* im im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr re) (* im im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr re) 0) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr re) (* im im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr re) (* im im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt im) (sqrt im)) into im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (sqr 0) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (sqr im)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) 0)))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqr im))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) +nan.0) (+ (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) 0)))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (/ 1 (sqr (/ 1 im))) (pow (/ 1 re) 3))) (+ (- +nan.0) (* (- +nan.0) (sqr (* (/ 1 (/ 1 im)) (/ 1 re)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (pow re 3))) (- (* +nan.0 (/ (sqr im) (sqr re))))))))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (sqr im)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) 0)))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqr im))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) +nan.0) (+ (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) 0)))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (/ 1 (sqr (/ 1 (- im)))) (pow (/ 1 (- re)) 3))) (+ (- +nan.0) (* (- +nan.0) (sqr (* (/ 1 (/ 1 (- im))) (/ 1 (- re))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (pow re 3))) (- (* +nan.0 (/ (sqr im) (sqr re))))))))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr re) 0) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (sqr 0) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 3) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (* im 1))) (+ (* (- +nan.0) (sqr (* 1 re))) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr im)) (- (* +nan.0 (sqr re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (sqr im)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (sqr im))) +nan.0) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (* 1 (/ 1 re)))) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (sqr im)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (sqr im))) +nan.0) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (* 1 (/ 1 (- re))))) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 48 ] simplifiying candidate #<alt-event (λ (re im) (sqr (sqrt im)))>
* [enter]simplify:  Simplifying (sqr (sqrt im))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to im
* * * * [misc]progress:  [ 2 / 48 ] simplifiying candidate #<alt-event (λ (re im) (sqr (sqrt re)))>
* [enter]simplify:  Simplifying (sqr (sqrt re))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to re
* * * * [misc]progress:  [ 3 / 48 ] simplifiying candidate #<alt-event (λ (re im) (sqr (sqrt (* -1 re))))>
* [enter]simplify:  Simplifying (sqr (sqrt (* -1 re)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (- re)
* * * * [misc]progress:  [ 4 / 48 ] simplifiying candidate #<alt-event (λ (re im) im)>
* [enter]simplify:  Simplifying im
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to im
* * * * [misc]progress:  [ 5 / 48 ] simplifiying candidate #<alt-event (λ (re im) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (pow re 3))) (- (* +nan.0 (/ (sqr im) (sqr re)))))))))>
* [enter]simplify:  Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (pow re 3))) (- (* +nan.0 (/ (sqr im) (sqr re))))))))
* * * * [misc]progress:  [ 6 / 48 ] simplifiying candidate #<alt-event (λ (re im) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (pow re 3))) (- (* +nan.0 (/ (sqr im) (sqr re)))))))))>
* [enter]simplify:  Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (pow re 3))) (- (* +nan.0 (/ (sqr im) (sqr re))))))))
* * * * [misc]progress:  [ 7 / 48 ] simplifiying candidate #<alt-event (λ (re im) (sqr (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr im)) (- (* +nan.0 (sqr re)))))))))>
* [enter]simplify:  Simplifying (sqr (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr im)) (- (* +nan.0 (sqr re))))))))
* * * * [misc]progress:  [ 8 / 48 ] simplifiying candidate #<alt-event (λ (re im) (sqr (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))))>
* [enter]simplify:  Simplifying (sqr (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re)))))))))
* * * * [misc]progress:  [ 9 / 48 ] simplifiying candidate #<alt-event (λ (re im) (sqr (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))))>
* [enter]simplify:  Simplifying (sqr (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re)))))))))
* * * * [misc]progress:  [ 10 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (pow (+ (sqr re) (* im im)) 1/2))))>
* * * * [misc]progress:  [ 11 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (pow (sqrt (+ (sqr re) (* im im))) 1))))>
* * * * [misc]progress:  [ 12 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (exp (log (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (log (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (log (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 13 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (log (exp (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (exp (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 14 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (cube (cbrt (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 15 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (cbrt (cube (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (cube (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (+ (sqr re) (* im im)) (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (* (+ (sqr re) (* im im)) (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 16 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (* (sqrt 1) (sqrt (+ (sqr re) (* im im)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (+ (sqr re) (* im im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* * * * [misc]progress:  [ 17 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (/ (sqrt (- (pow (sqr re) 3) (pow (* im im) 3))) (sqrt (+ (sqr (sqr re)) (- (sqr (* im im)) (* (sqr re) (* im im)))))))))>
* [enter]simplify:  Simplifying (sqrt (- (pow (sqr re) 3) (pow (* im im) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ (cube re) (cube im)) (- (cube re) (cube im))))
* [exit]simplify:  Simplified to (sqrt (* (+ (cube re) (cube im)) (- (cube re) (cube im))))
* [enter]simplify:  Simplifying (sqrt (+ (sqr (sqr re)) (- (sqr (* im im)) (* (sqr re) (* im im)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (* im im) (* im im)) (- (sqr (* re im)) (* (sqr re) (sqr re)))))
* [exit]simplify:  Simplified to (sqrt (- (* (* im im) (* im im)) (- (sqr (* re im)) (* (sqr re) (sqr re)))))
* * * * [misc]progress:  [ 18 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (/ (sqrt (- (sqr (sqr re)) (sqr (* im im)))) (sqrt (- (sqr re) (* im im)))))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr (sqr re)) (sqr (* im im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (sqr re) (* im im)) (+ (* im im) (sqr re))))
* [exit]simplify:  Simplified to (sqrt (* (- (sqr re) (* im im)) (+ (* im im) (sqr re))))
* [enter]simplify:  Simplifying (sqrt (- (sqr re) (* im im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ re im) (- re im)))
* [exit]simplify:  Simplified to (sqrt (* (+ re im) (- re im)))
* * * * [misc]progress:  [ 19 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (sqr (sqrt (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 20 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (fabs (sqrt (+ (sqr re) (* im im)))))))>
* * * * [misc]progress:  [ 21 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (* 1 (sqrt (+ (sqr re) (* im im)))))))>
* * * * [misc]progress:  [ 22 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (pow (sqrt (sqrt (+ (sqr re) (* im im)))) 2))>
* * * * [misc]progress:  [ 23 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (pow (sqr (sqrt (sqrt (+ (sqr re) (* im im))))) 1))>
* * * * [misc]progress:  [ 24 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (exp (log (sqr (sqrt (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (log (sqr (sqrt (sqrt (+ (sqr re) (* im im))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (log (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 25 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (log (exp (sqr (sqrt (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (exp (sqr (sqrt (sqrt (+ (sqr re) (* im im))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (exp (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 26 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (sqr (sqrt (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (cbrt (sqr (sqrt (sqrt (+ (sqr re) (* im im))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 27 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (cbrt (cube (sqr (sqrt (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (cube (sqr (sqrt (sqrt (+ (sqr re) (* im im))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr re) (* im im))) (+ (sqr re) (* im im)))
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr re) (* im im))) (+ (sqr re) (* im im)))
* * * * [misc]progress:  [ 28 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (sqr (sqrt (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (sqrt (sqr (sqrt (sqrt (+ (sqr re) (* im im))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 29 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqr (sqrt (sqrt 1))) (sqr (sqrt (sqrt (+ (sqr re) (* im im)))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt 1)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (+ (sqr re) (* im im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* * * * [misc]progress:  [ 30 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqr (sqrt 1)) (sqr (sqrt (sqrt (+ (sqr re) (* im im)))))))>
* [enter]simplify:  Simplifying (sqr (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (+ (sqr re) (* im im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* * * * [misc]progress:  [ 31 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqr 1) (sqr (sqrt (sqrt (+ (sqr re) (* im im)))))))>
* [enter]simplify:  Simplifying (sqr 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqr 1)
* [exit]simplify:  Simplified to (sqr 1)
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (+ (sqr re) (* im im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* * * * [misc]progress:  [ 32 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (/ (sqr (sqrt (sqrt (- (pow (sqr re) 3) (pow (* im im) 3))))) (sqr (sqrt (sqrt (+ (sqr (sqr re)) (- (sqr (* im im)) (* (sqr re) (* im im)))))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (- (pow (sqr re) 3) (pow (* im im) 3)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (sqrt (- (sqr (cube re)) (sqr (cube im))))
* [exit]simplify:  Simplified to (sqrt (- (sqr (cube re)) (sqr (cube im))))
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (+ (sqr (sqr re)) (- (sqr (* im im)) (* (sqr re) (* im im)))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (* im im) (* im im)) (* (* (+ im re) (- im re)) (sqr re))))
* [exit]simplify:  Simplified to (sqrt (- (* (* im im) (* im im)) (* (* (+ im re) (- im re)) (sqr re))))
* * * * [misc]progress:  [ 33 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (/ (sqr (sqrt (sqrt (- (sqr (sqr re)) (sqr (* im im)))))) (sqr (sqrt (sqrt (- (sqr re) (* im im)))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (- (sqr (sqr re)) (sqr (* im im))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (sqr re) (sqr re)) (* (* im im) (* im im))))
* [exit]simplify:  Simplified to (sqrt (- (* (sqr re) (sqr re)) (* (* im im) (* im im))))
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (- (sqr re) (* im im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- re im) (+ re im)))
* [exit]simplify:  Simplified to (sqrt (* (- re im) (+ re im)))
* * * * [misc]progress:  [ 34 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (sqrt (+ (sqr re) (* im im)))) (sqrt (sqrt (+ (sqr re) (* im im))))))>
* * * * [misc]progress:  [ 35 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (* 1 (sqr (sqrt (sqrt (+ (sqr re) (* im im)))))))>
* * * * [misc]progress:  [ 36 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (pow (sqrt (+ (sqr re) (* im im))) 1/2)))>
* * * * [misc]progress:  [ 37 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (pow (sqrt (sqrt (+ (sqr re) (* im im)))) 1)))>
* * * * [misc]progress:  [ 38 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (exp (log (sqrt (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (log (sqrt (sqrt (+ (sqr re) (* im im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (log (sqrt (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (log (sqrt (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 39 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (log (exp (sqrt (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (sqrt (+ (sqr re) (* im im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (exp (sqrt (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 40 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (cube (cbrt (sqrt (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt (+ (sqr re) (* im im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 41 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (cbrt (cube (sqrt (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (cube (sqrt (sqrt (+ (sqr re) (* im im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr re) (* im im))) (sqrt (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr re) (* im im))) (sqrt (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 42 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (* (sqrt (sqrt 1)) (sqrt (sqrt (+ (sqr re) (* im im)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 43 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (* (sqrt 1) (sqrt (sqrt (+ (sqr re) (* im im)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr re) (* im im))))
* * * * [misc]progress:  [ 44 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (/ (sqrt (sqrt (- (pow (sqr re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (sqr (sqr re)) (- (sqr (* im im)) (* (sqr re) (* im im)))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- (pow (sqr re) 3) (pow (* im im) 3))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (- (cube re) (cube im)) (+ (cube re) (cube im)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (- (cube re) (cube im)) (+ (cube re) (cube im)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (sqr (sqr re)) (- (sqr (* im im)) (* (sqr re) (* im im))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* (sqr re) (sqr re)) (- (* (* im im) (* im im)) (sqr (* re im))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* (sqr re) (sqr re)) (- (* (* im im) (* im im)) (sqr (* re im))))))
* * * * [misc]progress:  [ 45 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (/ (sqrt (sqrt (- (sqr (sqr re)) (sqr (* im im))))) (sqrt (sqrt (- (sqr re) (* im im)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- (sqr (sqr re)) (sqr (* im im)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ (* im im) (sqr re)) (- (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ (* im im) (sqr re)) (- (sqr re) (* im im)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (- (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 46 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqr (sqrt (sqrt (sqrt (+ (sqr re) (* im im))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ (sqr re) (* im im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 47 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (fabs (sqrt (sqrt (+ (sqr re) (* im im)))))))>
* * * * [misc]progress:  [ 48 / 48 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (* 1 (sqrt (sqrt (+ (sqr re) (* im im)))))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  Final touches.
* * * [misc]progress:  tayloring alt 1 of 6
* * * [misc]progress:  tayloring alt 2 of 6
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr re) 0) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 im) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
* [misc]approximate:  Taking taylor expansion of (exp (log (sqrt (+ (sqr re) (* im im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr re) (* im im))))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr re) (* im im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr re) 0) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (exp (log re)) into re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr re) (* im im))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (exp (log im)) into im
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr re) (* im im))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (exp (log im)) into im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqr im)) 1) 1)))) into (/ 1/2 im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 im) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (log im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (sqr im)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (exp (- (log im))) into (exp (- (log im)))
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]taylor:  Taking taylor expansion of (exp (- (log re))) in im
* [misc]taylor:  Taking taylor expansion of (- (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqr im))) 1)) (pow 1 1)))) 2) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqr im)) 1) 1)))) into (* 1/2 (/ (exp (- (log re))) (sqr im)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (exp (- (log re))) (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (exp (- (log re))) (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (exp (- (log re))) in im
* [misc]taylor:  Taking taylor expansion of (- (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (exp (- (log re))) 1) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (- (log re))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (- (log re))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqr im))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (sqr im)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]approximate:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (exp (- (log im))) into (exp (- (log im)))
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]taylor:  Taking taylor expansion of (exp (- (log re))) in im
* [misc]taylor:  Taking taylor expansion of (- (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqr im))) 1)) (pow 1 1)))) 2) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqr im)) 1) 1)))) into (* 1/2 (/ (exp (- (log re))) (sqr im)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (exp (- (log re))) (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (exp (- (log re))) (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (exp (- (log re))) in im
* [misc]taylor:  Taking taylor expansion of (- (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (exp (- (log re))) 1) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (- (log re))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (- (log re))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqr im))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (sqr im)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (exp (log (sqrt (+ (sqr re) (* im im))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (exp (log (sqrt (+ (sqr re) (* im im))))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr re) (* im im)))))) in im
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr re) (* im im))))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr re) (* im im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr re) 0) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (exp (log re)) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (exp (log (sqrt (+ (sqr re) (* im im))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr re) (* im im)))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr re) (* im im))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (exp (log im)) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (exp (log (sqrt (+ (sqr re) (* im im))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr re) (* im im)))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr re) (* im im))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (exp (log im)) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt im) (sqrt im)) into im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqr im)) 1) 1)))) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (sqr 0) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (log im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (sqr im)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (exp (- (log im))) into (exp (- (log im)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log im)))) into (sqrt (exp (- (log im))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (exp (- (log re)))) (sqrt (exp (- (log re))))) into (exp (- (log re)))
* [misc]taylor:  Taking taylor expansion of (exp (- (log re))) in im
* [misc]taylor:  Taking taylor expansion of (- (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (exp (- (log re)))) 0) (* 0 (sqrt (exp (- (log re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqr im))) 1)) (pow 1 1)))) 2) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqr im)) 1) 1)))) into (* 1/2 (/ (exp (- (log re))) (sqr im)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ (exp (- (log re))) (sqr im))) (sqr 0) (+)) (* 2 (sqrt (exp (- (log re)))))) into (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (exp (- (log re)))) (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re))))))) (+ (* 0 0) (* (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re)))))) (sqrt (exp (- (log re))))))) into (* 1/2 (/ (exp (- (log re))) (sqr im)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (exp (- (log re))) (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (exp (- (log re))) (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (exp (- (log re))) in im
* [misc]taylor:  Taking taylor expansion of (- (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (exp (- (log re))) 1) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (- (log re))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (- (log re))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqr im))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (sqr im)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re)))))))))) (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (exp (- (log re)))) 0) (+ (* 0 (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re))))))) (+ (* (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re)))))) 0) (* 0 (sqrt (exp (- (log re)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) in im
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (exp (- (log im))) into (exp (- (log im)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log im)))) into (sqrt (exp (- (log im))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (exp (- (log re)))) (sqrt (exp (- (log re))))) into (exp (- (log re)))
* [misc]taylor:  Taking taylor expansion of (exp (- (log re))) in im
* [misc]taylor:  Taking taylor expansion of (- (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (exp (- (log re)))) 0) (* 0 (sqrt (exp (- (log re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqr im))) 1)) (pow 1 1)))) 2) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqr im)) 1) 1)))) into (* 1/2 (/ (exp (- (log re))) (sqr im)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ (exp (- (log re))) (sqr im))) (sqr 0) (+)) (* 2 (sqrt (exp (- (log re)))))) into (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (exp (- (log re)))) (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re))))))) (+ (* 0 0) (* (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re)))))) (sqrt (exp (- (log re))))))) into (* 1/2 (/ (exp (- (log re))) (sqr im)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (exp (- (log re))) (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (exp (- (log re))) (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (exp (- (log re))) in im
* [misc]taylor:  Taking taylor expansion of (- (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (exp (- (log re))) 1) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (- (log re))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (- (log re))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqr im))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (sqr im)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re)))))))))) (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (exp (- (log re)))) 0) (+ (* 0 (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re))))))) (+ (* (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re)))))) 0) (* 0 (sqrt (exp (- (log re)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr re) (* im im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr re) (* im im)))))) in im
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr re) (* im im))))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr re) (* im im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr re) 0) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (exp (log re)) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr re) (* im im)))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr re) (* im im))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (exp (log im)) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr re) (* im im)))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr re) (* im im))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (exp (log im)) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqr im)) 1) 1)))) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (sqr 0) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 3) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (* im 1))) (+ (* (- +nan.0) (sqr (* 1 re))) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr im)) (- (* +nan.0 (sqr re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (exp (- (log im))) into (exp (- (log im)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log im)))) into (sqrt (exp (- (log im))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (- (log re)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (- (log re))) in im
* [misc]taylor:  Taking taylor expansion of (- (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqr im))) 1)) (pow 1 1)))) 2) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqr im)) 1) 1)))) into (* 1/2 (/ (exp (- (log re))) (sqr im)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ (exp (- (log re))) (sqr im))) (sqr 0) (+)) (* 2 (sqrt (exp (- (log re)))))) into (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re))))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re)))))) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqr im)) (sqrt (exp (- (log re))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (- (log re)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (- (log re))) in im
* [misc]taylor:  Taking taylor expansion of (- (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (exp (- (log re))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (sqrt (exp (- (log re))))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (exp (- (log re))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqr im))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (sqr im)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re)))))))))) (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]approximate:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) in im
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (exp (- (log im))) into (exp (- (log im)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log im)))) into (sqrt (exp (- (log im))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (- (log re)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (- (log re))) in im
* [misc]taylor:  Taking taylor expansion of (- (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqr im))) 1)) (pow 1 1)))) 2) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (sqr im)) 1) 1)))) into (* 1/2 (/ (exp (- (log re))) (sqr im)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ (exp (- (log re))) (sqr im))) (sqr 0) (+)) (* 2 (sqrt (exp (- (log re)))))) into (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re))))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re)))))) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqr im)) (sqrt (exp (- (log re))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (- (log re)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (- (log re))) in im
* [misc]taylor:  Taking taylor expansion of (- (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (exp (- (log re))) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (exp (- (log re))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (sqrt (exp (- (log re))))) into (sqrt (exp (- (log re))))
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (exp (- (log re))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqr im))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (- (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (sqr im)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqr im)) (sqrt (exp (- (log re)))))))))) (* 2 (sqrt (exp (- (log re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (exp (- (log re)))) into (sqrt (exp (- (log re))))
* * * [misc]progress:  tayloring alt 3 of 6
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr re) 0) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 im) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
* * * [misc]progress:  tayloring alt 4 of 6
* * * [misc]progress:  tayloring alt 5 of 6
* * * [misc]progress:  tayloring alt 6 of 6
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr re) 0) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 im) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr re) (* im im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr re) (* im im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr re) 0) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr re) (* im im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr re) (* im im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt im) (sqrt im)) into im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (sqr 0) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (sqr im)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) 0)))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqr im))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) +nan.0) (+ (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) 0)))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (/ 1 (sqr (/ 1 im))) (pow (/ 1 re) 3))) (+ (- +nan.0) (* (- +nan.0) (sqr (* (/ 1 (/ 1 im)) (/ 1 re)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (pow re 3))) (- (* +nan.0 (/ (sqr im) (sqr re))))))))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (sqr im)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) 0)))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqr im))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) +nan.0) (+ (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) 0)))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (/ 1 (sqr (/ 1 (- im)))) (pow (/ 1 (- re)) 3))) (+ (- +nan.0) (* (- +nan.0) (sqr (* (/ 1 (/ 1 (- im))) (/ 1 (- re))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (pow re 3))) (- (* +nan.0 (/ (sqr im) (sqr re))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr re) 0) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr re) (* im im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (sqr 0) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 3) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (* im 1))) (+ (* (- +nan.0) (sqr (* 1 re))) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr im)) (- (* +nan.0 (sqr re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (sqr im)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (sqr im))) +nan.0) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (* 1 (/ 1 re)))) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (sqr im)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (sqr im))) +nan.0) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (sqr im))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (* 1 (/ 1 (- re))))) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))
* * * [misc]progress:  simplifying alt 1 of 24
* [enter]simplify:  Simplifying (sqr (sqrt (exp (log im))))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to im
* [misc]none:  prog is (λ (re im) im)
* * * [misc]progress:  simplifying alt 2 of 24
* [enter]simplify:  Simplifying (sqr (sqrt (exp (log re))))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to re
* [misc]none:  prog is (λ (re im) re)
* * * [misc]progress:  simplifying alt 3 of 24
* [enter]simplify:  Simplifying (sqr (sqrt (exp (log (* -1 re)))))
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (- re)
* [misc]none:  prog is (λ (re im) (- re))
* * * [misc]progress:  simplifying alt 4 of 24
* [enter]simplify:  Simplifying (sqr (sqrt im))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to im
* [misc]none:  prog is (λ (re im) im)
* * * [misc]progress:  simplifying alt 5 of 24
* [enter]simplify:  Simplifying (sqr (sqrt (exp (- (log re)))))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 re)
* [misc]none:  prog is (λ (re im) (/ 1 re))
* * * [misc]progress:  simplifying alt 6 of 24
* [enter]simplify:  Simplifying (sqr (sqrt (exp (- (log re)))))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 re)
* [misc]none:  prog is (λ (re im) (/ 1 re))
* * * [misc]progress:  simplifying alt 7 of 24
* [enter]simplify:  Simplifying im
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to im
* [misc]none:  prog is (λ (re im) im)
* * * [misc]progress:  simplifying alt 8 of 24
* [enter]simplify:  Simplifying (exp (- (log re)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 re)
* [misc]none:  prog is (λ (re im) (/ 1 re))
* * * [misc]progress:  simplifying alt 9 of 24
* [enter]simplify:  Simplifying (exp (- (log re)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 re)
* [misc]none:  prog is (λ (re im) (/ 1 re))
* * * [misc]progress:  simplifying alt 10 of 24
* [enter]simplify:  Simplifying (sqr (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr im)) (- (* +nan.0 (sqr re))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 11 of 24
* [enter]simplify:  Simplifying (sqr (sqrt (exp (- (log re)))))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 re)
* [misc]none:  prog is (λ (re im) (/ 1 re))
* * * [misc]progress:  simplifying alt 12 of 24
* [enter]simplify:  Simplifying (sqr (sqrt (exp (- (log re)))))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 re)
* [misc]none:  prog is (λ (re im) (/ 1 re))
* * * [misc]progress:  simplifying alt 13 of 24
* [enter]simplify:  Simplifying im
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to im
* [misc]none:  prog is (λ (re im) im)
* * * [misc]progress:  simplifying alt 14 of 24
* [enter]simplify:  Simplifying re
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to re
* [misc]none:  prog is (λ (re im) re)
* * * [misc]progress:  simplifying alt 15 of 24
* [enter]simplify:  Simplifying (* -1 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- re)
* [misc]none:  prog is (λ (re im) (- re))
* * * [misc]progress:  simplifying alt 16 of 24
* [enter]simplify:  Simplifying (sqr (sqrt im))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to im
* [misc]none:  prog is (λ (re im) im)
* * * [misc]progress:  simplifying alt 17 of 24
* [enter]simplify:  Simplifying (sqr (sqrt re))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to re
* [misc]none:  prog is (λ (re im) re)
* * * [misc]progress:  simplifying alt 18 of 24
* [enter]simplify:  Simplifying (sqr (sqrt (* -1 re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (- re)
* [misc]none:  prog is (λ (re im) (- re))
* * * [misc]progress:  simplifying alt 19 of 24
* [enter]simplify:  Simplifying im
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to im
* [misc]none:  prog is (λ (re im) im)
* * * [misc]progress:  simplifying alt 20 of 24
* [enter]simplify:  Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (pow re 3))) (- (* +nan.0 (/ (sqr im) (sqr re))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 21 of 24
* [enter]simplify:  Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (pow re 3))) (- (* +nan.0 (/ (sqr im) (sqr re))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 22 of 24
* [enter]simplify:  Simplifying (sqr (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr im)) (- (* +nan.0 (sqr re))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 23 of 24
* [enter]simplify:  Simplifying (sqr (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re)))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 24 of 24
* [enter]simplify:  Simplifying (sqr (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re)))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* [misc]progress:  [Phase 3 of 3] Extracting.
* [enter]simplify:  Simplifying im
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to im
* [enter]simplify:  Simplifying (log (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (log (sqrt (+ (sqr re) (* im im))))
* [enter]simplify:  Simplifying (+ (sqr re) (* im im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (+ (sqr re) (* im im))
* [exit]simplify:  Simplified to (+ (sqr re) (* im im))
* [enter]simplify:  Simplifying re
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to re
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (sqr re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr re) (* im im))))
* [enter]simplify:  Simplifying (/ 1 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 re)