* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (+ re (sqrt (+ (* im im) (* re re)))) 2.0)))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 2
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ im 0) 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 (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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) 0) 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 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 (/ 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)) (* 1 (* 1 re))) into (+ im re)
* [misc]approximate:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 (/ 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 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 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 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 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]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 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 2 into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr 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]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 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 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
* [misc]approximate:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (/ 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 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (- 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 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (- 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]backup-simplify:  Simplify (+ 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 (- (+ (* -1 (/ 0 -1)))) into 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 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 (- 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 (- 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 (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr 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]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 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 (- 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) 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 (+ 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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re 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 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 (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 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 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 (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (- 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 (- 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:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (+ re re) into (* 2 re)
* [misc]backup-simplify:  Simplify (* 2.0 (* 2 re)) into (* 4.0 re)
* [misc]backup-simplify:  Simplify (sqrt (* 4.0 re)) into (* (sqrt re) (sqrt 4.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (* 2 re))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 4.0 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 im)) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 im)) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) 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 (* (sqrt 2.0) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (- (* +nan.0 (/ 1 (sqrt 2.0))))) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (sqrt 2.0)))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [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) 0) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 im)) (sqr (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))) (+)) (* 2 (* (sqrt 2.0) (sqrt im)))) into (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) (sqrt 2.0)) (sqrt (/ 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 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) (sqrt 2.0)) (sqrt (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (sqrt 2.0)) im)) in im
* [misc]taylor:  Taking taylor expansion of (* (sqr (sqrt 2.0)) im) in im
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) 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 (* (sqrt 2.0) (sqrt 2.0)) into (sqr (sqrt 2.0))
* [misc]backup-simplify:  Simplify (* (sqr (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (sqrt 2.0)) 1) (* 0 0)) into (sqr (sqrt 2.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (sqrt 2.0))) into (/ 1 (sqr (sqrt 2.0)))
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (sqr (sqrt 2.0)))) into (/ 1.0 (sqr (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (/ 1.0 (sqr (sqrt 2.0)))) into (- (* 1.0 (/ 1 (sqr (sqrt 2.0)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (* 1.0 (/ 1 (sqr (sqrt 2.0)))))) into (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0)))))
* [misc]backup-simplify:  Simplify (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) into (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 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]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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (sqrt 2.0)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr (sqrt 2.0))) (/ 0 (sqr (sqrt 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqr (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr (sqrt 2.0))) (/ 0 (sqr (sqrt 2.0)))) (* 0 (/ 0 (sqr (sqrt 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (sqr (sqrt 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) (sqr (* 1 re))) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (/ 1 (sqrt 2.0)))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (sqr re) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (/ (sqr re) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0))))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 (/ 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 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]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* 2.0 2) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 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]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* 2.0 2) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 2)) 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 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 2))) into (* 1.0 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 (sqr im))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1.0 (/ 1 (sqr im))) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 1.0 (/ 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 (- (* 1.0 (/ 1 (sqr im))) +nan.0) in im
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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]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 (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1.0)) 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 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1.0 (/ 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 (+ (* 1.0 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 1.0))) 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 (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (/ 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (- 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]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 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 (- 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 (- 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 (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1.0 (/ 1 (sqr im))) (* 2 (sqrt 0))) into (/ +nan.0 (sqr im))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (- 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]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 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 (- 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 (- 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 (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1.0 (/ 1 (sqr im))) (* 2 (sqrt 0))) into (/ +nan.0 (sqr im))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (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 (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 (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.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) 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 (- 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) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ +nan.0 (sqr im))) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (pow im 4)) 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 (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (/ 0 1) (+ (* +nan.0 (/ 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) 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 (- 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 (- 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 (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* 1/8 (/ 1 (pow im 4))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 0))))) into (- (* 0.25 (/ 1 (pow im 4))))
* [misc]backup-simplify:  Simplify (/ (- (- (* 0.25 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (sqr im)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 0.25 (/ 1 (pow im 4)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 0.25 (/ 1 (pow im 4))))) 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 (pow im 6))) (* 0.25 (/ 1 (pow im 4)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) 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 (pow im 6)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 6) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 0.25 (/ 1 (pow im 4))) in im
* [misc]taylor:  Taking taylor expansion of 0.25 in im
* [misc]backup-simplify:  Simplify 0.25 into 0.25
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* 0.25 1) into 0.25
* [misc]backup-simplify:  Simplify (+ 0 0.25) into 0.25
* [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 0) (+ (* 0 0) (+ (* 0 0.25) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]taylor:  Taking taylor expansion of (* 2.0 im) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 im)) into 2.0
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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) 0) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im))) into (* 1.0 (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 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 (+ (* 1.0 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 (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 im) (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 (/ 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 (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 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 (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 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]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* 2.0 2) into 4.0
* [misc]taylor:  Taking taylor expansion of 4.0 in im
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 2))) into (* 1.0 (/ 1 (sqr im)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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]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 (+ (* 1.0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 2)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 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 0 into 0
* [misc]backup-simplify:  Simplify (* 4.0 (* 1 (/ 1 (/ 1 re)))) into (* 4.0 re)
* [misc]approximate:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (/ 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 (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (- 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 (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (- 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]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 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 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 (- 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 (- 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 (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (sqr im)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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]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 (+ (* 1.0 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) 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 (- 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) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 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 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) (* 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]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ im re))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 2.0 (+ im re))))
* * * * [misc]progress:  [ 2 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (* 2 re))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 2 (* re 2.0))))
* * * * [misc]progress:  [ 3 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 0)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt 0))
* * * * [misc]progress:  [ 4 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ im re))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 2.0 (+ im re))))
* * * * [misc]progress:  [ 5 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ re re))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (+ (* 2.0 re) (* 2.0 re))))
* * * * [misc]progress:  [ 6 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (+ -1 1) (* re 2.0))) 0.5)
* * * * [misc]progress:  [ 7 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (sqr re) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (/ (sqr re) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0))))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (sqr re) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (/ (sqr re) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0)))))))))))
* * * * [misc]progress:  [ 8 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re)))))))))
* * * * [misc]progress:  [ 9 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 0))>
* [enter]simplify:  Simplifying (* 0.5 0)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 10 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (+ (* 2.0 im) (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (+ (* 2.0 im) (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* 2.0 (+ re im))) 0.5)
* * * * [misc]progress:  [ 11 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 4.0 re))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 4.0 re)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 4.0 re)))
* * * * [misc]progress:  [ 12 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt 0)))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt 0))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (* (sqrt 0) 0.5)
* * * * [misc]progress:  [ 13 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (+ (sqrt (+ (* re re) (* im im))) re) 1)))))>
* * * * [misc]progress:  [ 14 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (log (+ (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log (+ re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (log (+ re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 15 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (exp (+ (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (exp (+ re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (exp (+ re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 16 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (+ re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (cbrt (+ re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 17 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (cube (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (cube (+ (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (247 enodes)
* [exit]simplify:  Simplified to (cube (+ re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (cube (+ re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 18 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (sqr (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 19 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
* * * * [misc]progress:  [ 20 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (sqr (sqrt (+ (* re re) (* im im)))) (- (sqr re) (* (sqrt (+ (* re re) (* im im))) re))))))))>
* [enter]simplify:  Simplifying (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (- (* (+ (sqr re) (* im im)) (sqrt (+ (sqr re) (* im im)))) (cube re))
* [exit]simplify:  Simplified to (- (* (+ (sqr re) (* im im)) (sqrt (+ (sqr re) (* im im)))) (cube re))
* [enter]simplify:  Simplifying (+ (sqr (sqrt (+ (* re re) (* im im)))) (- (sqr re) (* (sqrt (+ (* re re) (* im im))) re)))
* * [misc]simplify:  iters left: 6 (11 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 (58 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (- (+ (* (+ re re) re) (* im im)) (* re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (- (+ (* (+ re re) re) (* im im)) (* re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 21 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (sqr (sqrt (+ (* re re) (* im im)))) (sqr re)) (- (sqrt (+ (* re re) (* im im))) re))))))>
* [enter]simplify:  Simplifying (- (sqr (sqrt (+ (* re re) (* im im)))) (sqr re))
* * [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 (34 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* im im)
* [exit]simplify:  Simplified to (* im im)
* [enter]simplify:  Simplifying (- (sqrt (+ (* re re) (* im im))) re)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ (sqr re) (* im im))) re)
* [exit]simplify:  Simplified to (- (sqrt (+ (sqr re) (* im im))) re)
* * * * [misc]progress:  [ 22 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))))>
* * * * [misc]progress:  [ 23 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) 1/2) re)))))>
* * * * [misc]progress:  [ 24 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 1) re)))))>
* * * * [misc]progress:  [ 25 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (log (sqrt (+ (* re 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:  [ 26 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (log (exp (sqrt (+ (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (exp (sqrt (+ (* re 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:  [ 27 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cube (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (* re 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:  [ 28 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (cube (sqrt (+ (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (cube (sqrt (+ (* re 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:  [ 29 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re)))))>
* [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 (+ (* 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)))
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* * * * [misc]progress:  [ 30 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (- (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (sqr (* re re)) (- (sqr (* im im)) (* (* re re) (* im im)))))) re)))))>
* [enter]simplify:  Simplifying (sqrt (- (pow (* re 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 (* re re)) (- (sqr (* im im)) (* (* re 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:  [ 31 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (- (sqr (* re re)) (sqr (* im im)))) (sqrt (- (* re re) (* im im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr (* re 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 (- (* re 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:  [ 32 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqr (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* re 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:  [ 33 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re)))))>
* * * * [misc]progress:  [ 34 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re)))))>
* * * * [misc]progress:  [ 35 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2)))>
* * * * [misc]progress:  [ 36 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1)))>
* * * * [misc]progress:  [ 37 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (log (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* [exit]simplify:  Simplified to (log (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* * * * [misc]progress:  [ 38 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (log (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* [exit]simplify:  Simplified to (exp (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* * * * [misc]progress:  [ 39 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* * * * [misc]progress:  [ 40 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cbrt (cube (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (cube (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* [exit]simplify:  Simplified to (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* [exit]simplify:  Simplified to (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* * * * [misc]progress:  [ 41 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
* [enter]simplify:  Simplifying (sqrt 2.0)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2.0)
* [exit]simplify:  Simplified to (sqrt 2.0)
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 42 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (sqr (sqrt (+ (* re re) (* im im)))) (- (sqr re) (* (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (sqrt (* 2.0 (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (cube re))))
* [exit]simplify:  Simplified to (sqrt (* 2.0 (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (cube re))))
* [enter]simplify:  Simplifying (sqrt (+ (sqr (sqrt (+ (* re re) (* im im)))) (- (sqr re) (* (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (sqrt (- (+ (+ (sqr re) (* im im)) (sqr re)) (* re (sqrt (+ (sqr re) (* im im))))))
* [exit]simplify:  Simplified to (sqrt (- (+ (+ (sqr re) (* im im)) (sqr re)) (* re (sqrt (+ (sqr re) (* im im))))))
* * * * [misc]progress:  [ 43 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (sqr (sqrt (+ (* re re) (* im im)))) (sqr re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
* [enter]simplify:  Simplifying (sqrt (* 2.0 (- (sqr (sqrt (+ (* re re) (* im im)))) (sqr re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* 2.0 im) im))
* [exit]simplify:  Simplified to (sqrt (* (* 2.0 im) im))
* [enter]simplify:  Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (- (sqrt (+ (sqr re) (* im im))) re))
* [exit]simplify:  Simplified to (sqrt (- (sqrt (+ (sqr re) (* im im))) re))
* * * * [misc]progress:  [ 44 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqr (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* * * * [misc]progress:  [ 45 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (fabs (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))>
* * * * [misc]progress:  [ 46 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))>
* * * * [misc]progress:  [ 47 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1))))>
* * * * [misc]progress:  [ 48 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (exp (log (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (log (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* [exit]simplify:  Simplified to (log (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
* [exit]simplify:  Simplified to (log (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
* * * * [misc]progress:  [ 49 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (log (exp (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (exp (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* [exit]simplify:  Simplified to (pow (exp 2.0) (+ (sqrt (+ (* im im) (* re re))) re))
* [exit]simplify:  Simplified to (pow (exp 2.0) (+ (sqrt (+ (* im im) (* re re))) re))
* * * * [misc]progress:  [ 50 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (cube (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
* [exit]simplify:  Simplified to (cbrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
* * * * [misc]progress:  [ 51 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (cbrt (cube (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (cube (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* [exit]simplify:  Simplified to (cube (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
* [exit]simplify:  Simplified to (cube (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
* * * * [misc]progress:  [ 52 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (sqr (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
* [exit]simplify:  Simplified to (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
* * * * [misc]progress:  [ 53 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 1 (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))>
* * * * [misc]progress:  [ 54 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (+ (* 2.0 (sqrt (+ (* re re) (* im im)))) (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 2.0 (sqrt (+ (* re re) (* im im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* 2.0 (sqrt (+ (* im im) (* re re))))
* [exit]simplify:  Simplified to (* 2.0 (sqrt (+ (* im im) (* re re))))
* [enter]simplify:  Simplifying (* 2.0 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* re 2.0)
* [exit]simplify:  Simplified to (* re 2.0)
* * * * [misc]progress:  [ 55 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (+ (* (sqrt (+ (* re re) (* im im))) 2.0) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (+ (* re re) (* im im))) 2.0)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* 2.0 (sqrt (+ (sqr re) (* im im))))
* [exit]simplify:  Simplified to (* 2.0 (sqrt (+ (sqr re) (* im im))))
* [enter]simplify:  Simplifying (* re 2.0)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* 2.0 re)
* [exit]simplify:  Simplified to (* 2.0 re)
* * * * [misc]progress:  [ 56 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* 2.0 1) (+ (sqrt (+ (* re re) (* im im))) re)))))>
* [enter]simplify:  Simplifying (* 2.0 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 2.0
* [exit]simplify:  Simplified to 2.0
* * * * [misc]progress:  [ 57 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (+ (sqr (sqrt (+ (* re re) (* im im)))) (- (sqr re) (* (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* 2.0 (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (cube re)))
* [exit]simplify:  Simplified to (* 2.0 (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (cube re)))
* * * * [misc]progress:  [ 58 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (- (sqr (sqrt (+ (* re re) (* im im)))) (sqr re))) (- (sqrt (+ (* re re) (* im im))) re)))))>
* [enter]simplify:  Simplifying (* 2.0 (- (sqr (sqrt (+ (* re re) (* im im)))) (sqr re)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (* (* 2.0 im) im)
* [exit]simplify:  Simplified to (* (* 2.0 im) im)
* * * * [misc]progress:  [ 59 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 2
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 1 1 2)
* [misc]approximate:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ im 0) 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 (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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) 0) 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 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 (/ 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)) (* 1 (* 1 re))) into (+ im re)
* [misc]approximate:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 (/ 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 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 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 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 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]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 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 2 into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr 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]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 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 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
* [misc]approximate:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (/ 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 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (- 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 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (- 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]backup-simplify:  Simplify (+ 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 (- (+ (* -1 (/ 0 -1)))) into 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 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 (- 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 (- 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 (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr 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]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 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 (- 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) 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 (+ 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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 1 1 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re 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 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 (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 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 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 (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (- 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 (- 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:  [ 3 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (+ re re) into (* 2 re)
* [misc]backup-simplify:  Simplify (* 2.0 (* 2 re)) into (* 4.0 re)
* [misc]backup-simplify:  Simplify (sqrt (* 4.0 re)) into (* (sqrt re) (sqrt 4.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (* 2 re))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 4.0 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 im)) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* re re) (* im im))) re) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* re re) (* im im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re 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 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 re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 im)) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) 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 (* (sqrt 2.0) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (- (* +nan.0 (/ 1 (sqrt 2.0))))) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (sqrt 2.0)))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [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) 0) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 im)) (sqr (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))) (+)) (* 2 (* (sqrt 2.0) (sqrt im)))) into (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) (sqrt 2.0)) (sqrt (/ 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 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) (sqrt 2.0)) (sqrt (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (sqrt 2.0)) im)) in im
* [misc]taylor:  Taking taylor expansion of (* (sqr (sqrt 2.0)) im) in im
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) 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 (* (sqrt 2.0) (sqrt 2.0)) into (sqr (sqrt 2.0))
* [misc]backup-simplify:  Simplify (* (sqr (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (sqrt 2.0)) 1) (* 0 0)) into (sqr (sqrt 2.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (sqrt 2.0))) into (/ 1 (sqr (sqrt 2.0)))
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (sqr (sqrt 2.0)))) into (/ 1.0 (sqr (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (/ 1.0 (sqr (sqrt 2.0)))) into (- (* 1.0 (/ 1 (sqr (sqrt 2.0)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (* 1.0 (/ 1 (sqr (sqrt 2.0)))))) into (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0)))))
* [misc]backup-simplify:  Simplify (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) into (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 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]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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (sqrt 2.0)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr (sqrt 2.0))) (/ 0 (sqr (sqrt 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqr (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr (sqrt 2.0))) (/ 0 (sqr (sqrt 2.0)))) (* 0 (/ 0 (sqr (sqrt 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (sqr (sqrt 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) (sqr (* 1 re))) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (/ 1 (sqrt 2.0)))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (sqr re) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (/ (sqr re) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0))))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 (/ 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 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]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* 2.0 2) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 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 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 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 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]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* 2.0 2) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 2)) 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 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 2))) into (* 1.0 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 (sqr im))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1.0 (/ 1 (sqr im))) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 1.0 (/ 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 (- (* 1.0 (/ 1 (sqr im))) +nan.0) in im
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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]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 (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1.0)) 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 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1.0 (/ 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 (+ (* 1.0 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 1.0))) 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 (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (/ 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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (- 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]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 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 (- 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 (- 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 (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1.0 (/ 1 (sqr im))) (* 2 (sqrt 0))) into (/ +nan.0 (sqr im))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 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 (- 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 (- 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 (- 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]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 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 (- 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 (- 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 (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1.0 (/ 1 (sqr im))) (* 2 (sqrt 0))) into (/ +nan.0 (sqr im))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (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 (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 (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.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) 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 (- 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) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ +nan.0 (sqr im))) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (pow im 4)) 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 (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (/ 0 1) (+ (* +nan.0 (/ 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) 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 (- 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 (- 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 (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* 1/8 (/ 1 (pow im 4))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr im)))) (+ (* 0 0) (* 0 0))))) into (- (* 0.25 (/ 1 (pow im 4))))
* [misc]backup-simplify:  Simplify (/ (- (- (* 0.25 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (sqr im)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 0.25 (/ 1 (pow im 4)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 0.25 (/ 1 (pow im 4))))) 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 (pow im 6))) (* 0.25 (/ 1 (pow im 4)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) 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 (pow im 6)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 6) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 0.25 (/ 1 (pow im 4))) in im
* [misc]taylor:  Taking taylor expansion of 0.25 in im
* [misc]backup-simplify:  Simplify 0.25 into 0.25
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* 0.25 1) into 0.25
* [misc]backup-simplify:  Simplify (+ 0 0.25) into 0.25
* [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 0) (+ (* 0 0) (+ (* 0 0.25) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) in im
* [misc]backup-simplify:  Simplify (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) into (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re))))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) in re
* [misc]backup-simplify:  Simplify (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) into (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re))))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) in re
* [misc]backup-simplify:  Simplify (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) into (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re)))) in im
* [misc]backup-simplify:  Simplify (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re)))) into (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re))))
* [misc]backup-simplify:  Simplify (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re)))) into (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) 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]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 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 (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re)))) into (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re))))
* [misc]approximate:  Taking taylor expansion of (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) in im
* [misc]backup-simplify:  Simplify (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) in re
* [misc]backup-simplify:  Simplify (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) in re
* [misc]backup-simplify:  Simplify (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))))))) in im
* [misc]backup-simplify:  Simplify (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))))))) into (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))))
* [misc]backup-simplify:  Simplify (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))))))) into (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr 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]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 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 (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))))))) into (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) in im
* [misc]backup-simplify:  Simplify (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) in re
* [misc]backup-simplify:  Simplify (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) in re
* [misc]backup-simplify:  Simplify (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re))))) in im
* [misc]backup-simplify:  Simplify (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re))))) into (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))
* [misc]backup-simplify:  Simplify (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re))))) into (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 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]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 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 (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re))))) into (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 1 1 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 58 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ im re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ im re))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (37 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 2.0 (+ im re))))
* * * * [misc]progress:  [ 2 / 58 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (* 2 re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (sqrt (* 2.0 (* 2 re))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (* 2.0 2) re)))
* * * * [misc]progress:  [ 3 / 58 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 0))))))>
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (sqrt (* 2.0 0)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt 0))
* * * * [misc]progress:  [ 4 / 58 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ im re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ im re))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (37 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 2.0 (+ im re))))
* * * * [misc]progress:  [ 5 / 58 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ re re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ re re))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (+ re re) 2.0)) 0.5)
* * * * [misc]progress:  [ 6 / 58 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (* -1 re) re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (* -1 re) re))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (+ -1 1) (* re 2.0))) 0.5)
* * * * [misc]progress:  [ 7 / 58 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (cube (cbrt (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (sqr re) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (/ (sqr re) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0))))))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (sqr re) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (/ (sqr re) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0)))))))))))))
* * * * [misc]progress:  [ 8 / 58 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (cube (cbrt (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re)))))))))))
* * * * [misc]progress:  [ 9 / 58 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (cube (cbrt 0))))>
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt 0)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 10 / 58 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 2.0) 0.5) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
* * * * [misc]progress:  [ 11 / 58 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 2.0) 0.5) (sqrt (+ (sqrt (+ (/ (/ 1 re) re) (/ (/ 1 im) im))) (/ 1 re))))
* * * * [misc]progress:  [ 12 / 58 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re))))))))>
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 2.0) 0.5) (sqrt (- (sqrt (+ (/ (/ 1 re) re) (/ (/ 1 im) im))) (/ 1 re))))
* * * * [misc]progress:  [ 13 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (pow (+ (sqrt (+ (* re re) (* im im))) re) 1)))))))>
* * * * [misc]progress:  [ 14 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (log (+ (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log (+ re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (log (+ re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 15 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (exp (+ (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (exp (+ re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (exp (+ re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 16 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (cube (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (+ re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (cbrt (+ re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 17 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (cbrt (cube (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (cube (+ (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (247 enodes)
* [exit]simplify:  Simplified to (cube (+ re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (cube (+ re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 18 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (sqr (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 19 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))))>
* * * * [misc]progress:  [ 20 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (/ (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (sqr (sqrt (+ (* re re) (* im im)))) (- (sqr re) (* (sqrt (+ (* re re) (* im im))) re))))))))))>
* [enter]simplify:  Simplifying (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (- (* (+ (sqr re) (* im im)) (sqrt (+ (sqr re) (* im im)))) (cube re))
* [exit]simplify:  Simplified to (- (* (+ (sqr re) (* im im)) (sqrt (+ (sqr re) (* im im)))) (cube re))
* [enter]simplify:  Simplifying (+ (sqr (sqrt (+ (* re re) (* im im)))) (- (sqr re) (* (sqrt (+ (* re re) (* im im))) re)))
* * [misc]simplify:  iters left: 6 (11 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 (58 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (- (+ (* (+ re re) re) (* im im)) (* re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (- (+ (* (+ re re) re) (* im im)) (* re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 21 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (/ (- (sqr (sqrt (+ (* re re) (* im im)))) (sqr re)) (- (sqrt (+ (* re re) (* im im))) re))))))))>
* [enter]simplify:  Simplifying (- (sqr (sqrt (+ (* re re) (* im im)))) (sqr re))
* * [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 (34 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* im im)
* [exit]simplify:  Simplified to (* im im)
* [enter]simplify:  Simplifying (- (sqrt (+ (* re re) (* im im))) re)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ (sqr re) (* im im))) re)
* [exit]simplify:  Simplified to (- (sqrt (+ (sqr re) (* im im))) re)
* * * * [misc]progress:  [ 22 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))))))>
* * * * [misc]progress:  [ 23 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) 1/2) re)))))))>
* * * * [misc]progress:  [ 24 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 1) re)))))))>
* * * * [misc]progress:  [ 25 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))))>
* [enter]simplify:  Simplifying (log (sqrt (+ (* re 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:  [ 26 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (log (exp (sqrt (+ (* re re) (* im im))))) re)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (+ (* re 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:  [ 27 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (cube (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (* re 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:  [ 28 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (cbrt (cube (sqrt (+ (* re re) (* im im))))) re)))))))>
* [enter]simplify:  Simplifying (cube (sqrt (+ (* re 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:  [ 29 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re)))))))>
* [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 (+ (* 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)))
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* * * * [misc]progress:  [ 30 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (/ (sqrt (- (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (sqr (* re re)) (- (sqr (* im im)) (* (* re re) (* im im)))))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (- (pow (* re 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 (* re re)) (- (sqr (* im im)) (* (* re 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:  [ 31 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (/ (sqrt (- (sqr (* re re)) (sqr (* im im)))) (sqrt (- (* re re) (* im im)))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr (* re 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 (- (* re 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:  [ 32 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (sqr (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* re 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:  [ 33 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re)))))))>
* * * * [misc]progress:  [ 34 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re)))))))>
* * * * [misc]progress:  [ 35 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2)))))>
* * * * [misc]progress:  [ 36 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1)))))>
* * * * [misc]progress:  [ 37 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (log (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* [exit]simplify:  Simplified to (log (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* * * * [misc]progress:  [ 38 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (log (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* [exit]simplify:  Simplified to (exp (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* * * * [misc]progress:  [ 39 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (cube (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* * * * [misc]progress:  [ 40 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (cbrt (cube (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (cube (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* [exit]simplify:  Simplified to (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* [exit]simplify:  Simplified to (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* * * * [misc]progress:  [ 41 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt 2.0)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2.0)
* [exit]simplify:  Simplified to (sqrt 2.0)
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (+ (sqr re) (* im im)))))
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (+ (sqr re) (* im im)))))
* * * * [misc]progress:  [ 42 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (/ (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (sqr (sqrt (+ (* re re) (* im im)))) (- (sqr re) (* (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (sqrt (* 2.0 (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (cube re))))
* [exit]simplify:  Simplified to (sqrt (* 2.0 (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (cube re))))
* [enter]simplify:  Simplifying (sqrt (+ (sqr (sqrt (+ (* re re) (* im im)))) (- (sqr re) (* (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (sqrt (- (+ (+ (sqr re) (* im im)) (sqr re)) (* re (sqrt (+ (sqr re) (* im im))))))
* [exit]simplify:  Simplified to (sqrt (- (+ (+ (sqr re) (* im im)) (sqr re)) (* re (sqrt (+ (sqr re) (* im im))))))
* * * * [misc]progress:  [ 43 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (/ (sqrt (* 2.0 (- (sqr (sqrt (+ (* re re) (* im im)))) (sqr re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (* 2.0 (- (sqr (sqrt (+ (* re re) (* im im)))) (sqr re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* 2.0 im) im))
* [exit]simplify:  Simplified to (sqrt (* (* 2.0 im) im))
* [enter]simplify:  Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (- (sqrt (+ (sqr re) (* im im))) re))
* [exit]simplify:  Simplified to (sqrt (- (sqrt (+ (sqr re) (* im im))) re))
* * * * [misc]progress:  [ 44 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqr (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* * * * [misc]progress:  [ 45 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (fabs (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))>
* * * * [misc]progress:  [ 46 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (* 1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))>
* * * * [misc]progress:  [ 47 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1/3))))>
* * * * [misc]progress:  [ 48 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (pow (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 1))))>
* * * * [misc]progress:  [ 49 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (exp (log (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (log (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (log (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))))
* [exit]simplify:  Simplified to (log (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))))
* * * * [misc]progress:  [ 50 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (log (exp (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (exp (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (exp (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))))
* [exit]simplify:  Simplified to (exp (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))))
* * * * [misc]progress:  [ 51 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (* (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2.0))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt 2.0))
* [exit]simplify:  Simplified to (cbrt (sqrt 2.0))
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ re (sqrt (+ (sqr re) (* im im))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (+ re (sqrt (+ (sqr re) (* im im))))))
* * * * [misc]progress:  [ 52 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (* (cbrt 1) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [exit]simplify:  Simplified to (cbrt 1)
* [enter]simplify:  Simplifying (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
* * * * [misc]progress:  [ 53 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (/ (cbrt (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (cbrt (sqrt (+ (sqr (sqrt (+ (* re re) (* im im)))) (- (sqr re) (* (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* 2.0 (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (cube re)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (* 2.0 (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (cube re)))))
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (sqr (sqrt (+ (* re re) (* im im)))) (- (sqr re) (* (sqrt (+ (* re re) (* im im))) re)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (- (+ (+ (sqr re) (* im im)) (sqr re)) (* re (sqrt (+ (sqr re) (* im im)))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (- (+ (+ (sqr re) (* im im)) (sqr re)) (* re (sqrt (+ (sqr re) (* im im)))))))
* * * * [misc]progress:  [ 54 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (/ (cbrt (sqrt (* 2.0 (- (sqr (sqrt (+ (* re re) (* im im)))) (sqr re))))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (* 2.0 (- (sqr (sqrt (+ (* re re) (* im im)))) (sqr re)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (* im im) 2.0)))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (* im im) 2.0)))
* [enter]simplify:  Simplifying (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (- (sqrt (+ (sqr re) (* im im))) re)))
* [exit]simplify:  Simplified to (cbrt (sqrt (- (sqrt (+ (sqr re) (* im im))) re)))
* * * * [misc]progress:  [ 55 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cube (cbrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))))
* [exit]simplify:  Simplified to (cbrt (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))))
* * * * [misc]progress:  [ 56 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (cube (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (cube (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
* [exit]simplify:  Simplified to (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
* * * * [misc]progress:  [ 57 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (sqr (sqrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))))
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))))
* * * * [misc]progress:  [ 58 / 58 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (* 1 (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  Final touches.
* * * [misc]progress:  tayloring alt 1 of 8
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (/ 1 (sqr im)) into (/ 1 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (/ 1 (sqr re)) 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]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (/ 1 (sqr re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (/ 1 (sqr re)) 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]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (/ 1 (sqr re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in re
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (+ 0 (/ 1 (sqr re))) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr re)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr re))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr re)) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [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]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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr re)) (/ 0 (sqr re))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr re)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 im))) into (/ 1 im)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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 (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 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]taylor:  Taking taylor expansion of 0 in re
* [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 (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 re) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [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 (/ 1/2 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 (* (/ 1 re) 1)) into (/ 1 re)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 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]taylor:  Taking taylor expansion of 0 in re
* [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 (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (+ (* 0 0) (* 0 (/ -1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 re) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [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 (/ 1/2 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) 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 (* (/ 1 (- re)) 1)) into (/ -1 re)
* [misc]approximate:  Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (/ 1 (sqr re)) 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]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (/ 1 (sqr re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (/ 1 (sqr im)) into (/ 1 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (/ 1 (sqr im)) into (/ 1 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 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 2 into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (sqr im)) 0) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/2 (sqr im))) into (* 1/2 (/ 1 (sqr 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]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 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 (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr im)) (/ 0 (sqr im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 0) 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 (- (+ (* 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 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (* 1 (/ 1 re))) into (/ 2 re)
* [misc]approximate:  Taking taylor expansion of (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 (/ 1 re)) into re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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 (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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 (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (+ 0 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 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 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 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 (- (+ (* (sqr im) (/ 0 (/ 1 (sqr im)))) (* 0 (/ 0 (/ 1 (sqr im)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/2 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr im) (/ 0 (/ 1 (sqr im)))) (* 0 (/ 0 (/ 1 (sqr im)))) (* 0 (/ 0 (/ 1 (sqr im)))))) 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 (- (+ (* 1 (/ 0 1)))) 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 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 (/ 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 (* (/ 1 im) 1)) (* 1 (* 1 (/ 1 re)))) into (+ (/ 1 re) (/ 1 im))
* [misc]approximate:  Taking taylor expansion of (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 (/ -1 re)) into (* -1 re)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (+ 0 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 0) into -1
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [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)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 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 (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr im) (/ 0 (/ 1 (sqr im)))) (* 0 (/ 0 (/ 1 (sqr im)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/2 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) 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 -1)) (* 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr im) (/ 0 (/ 1 (sqr im)))) (* 0 (/ 0 (/ 1 (sqr im)))) (* 0 (/ 0 (/ 1 (sqr im)))))) 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 (- (+ (* 1 (/ 0 1)))) 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 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 (/ 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 (* (/ 1 (- im)) 1)) (* -1 (* 1 (/ 1 (- re))))) into (- (/ 1 re) (/ 1 im))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (/ 1 (sqr re)) 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]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (/ 1 (sqr re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [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 (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (/ 1 (sqr im)) into (/ 1 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (/ 1 (sqr im)) into (/ 1 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2 (* 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 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 (sqr im)) 0) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/2 (sqr im))) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 (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 (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr im)) (/ 0 (sqr im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 0) 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 re))) (+ (* +nan.0 (* 1 re)) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 (/ 1 re)) into re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (+ re re) into (* 2 re)
* [misc]backup-simplify:  Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* re (/ 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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 (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (+ 0 im) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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 (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (+ 0 im) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
* [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 (* 1/2 (sqrt (/ 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 (sqrt (/ 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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1/2 +nan.0) (* 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (+ (* (sqr im) (/ 0 (/ 1 (sqr im)))) (* 0 (/ 0 (/ 1 (sqr im)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 im)) (sqr (* 1/2 (sqrt (/ 1 im)))) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im
* [misc]taylor:  Taking taylor expansion of 1/8 in im
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [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 (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) 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 im) 1)) (* (- +nan.0) (* 1 (/ 1 re))))) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (sqr re))) (- (* +nan.0 (/ 1 im)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 (/ -1 re)) into (* -1 re)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (+ (* -1 re) re) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (* -1 re) (/ 0 (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (* -1 re) (/ 0 (/ -1 re))) (* 0 (/ 0 (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (+ (* 0 0) (* 0 (/ -1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (* -1 re) (/ 0 (/ -1 re))) (* 0 (/ 0 (/ -1 re))) (* 0 (/ 0 (/ -1 re))))) 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (+ 0 im) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (+ 0 im) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
* [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 +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* -1/2 (sqrt (/ 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 (sqrt (/ 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]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 (+ (* -1/2 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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 (* (/ 1 (- im)) 1))) (+ (* (- +nan.0) (* (/ 1 (- im)) (/ 1 (- re)))) (* +nan.0 (* (/ 1 (- im)) 1)))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ (* +nan.0 (/ 1 (* im re))) (- (* +nan.0 (/ 1 im)))))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re))))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (/ 1 (sqr re)) 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]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (/ 1 (sqr re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [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 re) 0) into (/ 1 re)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 re) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) 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 re) (/ 0 re)))) 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 (+ 0 (/ 1 (sqr re))) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr re)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr re))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/2 (sqr re))) into (* 1/2 (/ 1 (sqr re)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 (sqr re))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (sqr re))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (sqr re))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (sqr re))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (sqr re))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (sqr re))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (sqr re))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (sqr (* im 1))) (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) (* im 1)) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (sqr im)) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (sqr im)) (sqr re))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) im) re)) (- (* +nan.0 (* (sqrt 2.0) (sqr im))))))))))))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))))))) into (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))))))) into (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))))))))) into (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re)) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (sqr im) (sqr re))) re) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr im) (sqr re))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr im) (sqr re)) 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]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]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) 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 re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (+ re re) into (* 2 re)
* [misc]backup-simplify:  Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (* (sqrt 2) (sqrt re))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
* [misc]backup-simplify:  Simplify (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt 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 (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re)))) into 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 re)) (sqr 0) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
* [misc]backup-simplify:  Simplify (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
* [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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) (sqr (* (/ 1 im) 1))) (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))) into (+ (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) (* 1/4 (* (/ (sqrt 2.0) (* (sqr im) (sqrt 2))) (sqrt (/ 1 (pow re 3))))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (sqr im) (sqr re))) re)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (sqr im) (sqr re))) re)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 (/ 1 (- re))) (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))))))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (sqr im) (sqr re))) re)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (sqr im) (sqr re))) re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr im) (sqr re))) re)) in im
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr im) (sqr re))) re) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr im) (sqr re))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr im) (sqr re)) 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]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]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) 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 re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (+ re (- re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 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 2.0) (* (sqrt 1/2) (sqrt (/ 1 re)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 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 (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 1/2) (sqrt (/ 1 re))))) into 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) (* (/ 1 (- im)) 1)) into (* -1 (* (/ (* (sqrt 2.0) (sqrt 1/2)) im) (sqrt (/ 1 re))))
* * * [misc]progress:  tayloring alt 2 of 8
* [misc]approximate:  Taking taylor expansion of (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re)) in re
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (/ (sqr im) im) into im
* [misc]taylor:  Taking taylor expansion of (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re)) in im
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (- re) into (- re)
* [misc]backup-simplify:  Simplify (+ re (- re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
* [misc]taylor:  Taking taylor expansion of (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re)) in im
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (- re) into (- re)
* [misc]backup-simplify:  Simplify (+ re (- re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
* [misc]taylor:  Taking taylor expansion of (* 2 re) in re
* [misc]taylor:  Taking taylor expansion of 2 in re
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (* 2 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 (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 re)) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [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]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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 (* 2 (* re 1)) into (* 2 re)
* [misc]approximate:  Taking taylor expansion of (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 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 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr im)) (* 1/2 (/ 1 (sqr im)))) into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in re
* [misc]backup-simplify:  Simplify 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 (- (/ 1 re)) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 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]backup-simplify:  Simplify 1 into 1
* [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 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (sqr re)) 0) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr re)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr re)) 0) into (* 1/2 (/ 1 (sqr re)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (* 1/2 (/ 1 (sqr re))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (sqr re)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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]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 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) 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 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 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr re)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (sqr re))) 1)) (* (* 1/2 (/ 1 (sqr re))) (/ (- (/ 1 re)) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ im re)
* [misc]approximate:  Taking taylor expansion of (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr im)) 2) into (/ 1/2 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in re
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (- (+ (* -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 (- (/ -1 re)) into (/ 1 re)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 re)) into (/ 1 re)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (- (/ 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]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (- 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 (- 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 re) (/ -1 re)) into (/ 1 (sqr 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 (- 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 (sqr re)) 0) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr re)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr re)) 0) into (* 1/2 (/ 1 (sqr re)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (* 1/2 (/ 1 (sqr re))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (sqr re)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- 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]approximate:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (+ im 0) 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) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 im) 0) 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) into 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 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)) (* -1 (* 1 re))) into (- im re)
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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 (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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 (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 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 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr 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]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 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]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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 (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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 (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr 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]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 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]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 (- 0) into 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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
* [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 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re)) in re
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (/ (sqr im) im) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (/ 0 im) (+ (* im (/ -1 im)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 im)) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re)) in im
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (- re) into (- re)
* [misc]backup-simplify:  Simplify (+ re (- re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
* [misc]backup-simplify:  Simplify (* 2.0 (* 2 re)) into (* 4.0 re)
* [misc]backup-simplify:  Simplify (sqrt (* 4.0 re)) into (* (sqrt re) (sqrt 4.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (* 2 re))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 4.0 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* im im) (- (sqrt (+ (sqr re) (* im im))) re)) in im
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (- re) into (- re)
* [misc]backup-simplify:  Simplify (+ re (- re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
* [misc]backup-simplify:  Simplify (* 2.0 (* 2 re)) into (* 4.0 re)
* [misc]backup-simplify:  Simplify (sqrt (* 4.0 re)) into (* (sqrt re) (sqrt 4.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (* 2 re))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 4.0 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt re) (sqrt 4.0)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt 4.0) in re
* [misc]taylor:  Taking taylor expansion of 4.0 in re
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (sqrt 4.0) into (sqrt 4.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt 4.0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (sqrt 4.0))) into (- (* +nan.0 (sqrt 4.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 4.0))) into (- (* +nan.0 (sqrt 4.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 re)) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
* [misc]backup-simplify:  Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 (* 2 re)))) into (* 1.0 (/ 1 re))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 re)) (sqr 0) (+)) (* 2 (* (sqrt re) (sqrt 4.0)))) into (* 0.5 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 4.0))))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 4.0)))) in re
* [misc]taylor:  Taking taylor expansion of 0.5 in re
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 4.0))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow re 3)) in re
* [misc]taylor:  Taking taylor expansion of (pow re 3) in re
* [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]taylor:  Taking taylor expansion of (/ 1 (sqrt 4.0)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 4.0) in re
* [misc]taylor:  Taking taylor expansion of 4.0 in re
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (sqrt 4.0) into (sqrt 4.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 4.0))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 4.0)) into (/ 1 (sqrt 4.0))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 4.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 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 (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (sqrt 4.0))))) into (- (* +nan.0 (/ 1 (sqrt 4.0))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (/ 1 (sqrt 4.0)))) into (- (* +nan.0 (/ 1 (sqrt 4.0))))
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (sqrt 4.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 (- (* +nan.0 (/ 1 (sqrt 4.0))))) (+ (* 0 (- (* +nan.0 (/ 1 (sqrt 4.0))))) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 4.0))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (sqrt 4.0)))) into (- (* +nan.0 (/ 1 (sqrt 4.0))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 4.0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 4.0)))) into (- (* +nan.0 (sqrt 4.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 4.0))) into (- (* +nan.0 (sqrt 4.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqrt 4.0))) (sqr (* re 1))) (+ (* (- (* +nan.0 (/ 1 (sqrt 4.0)))) (sqr (* 1 im))) (* (- (* +nan.0 (sqrt 4.0))) (* re 1)))) into (- (+ (* +nan.0 (* re (sqrt 4.0))) (- (+ (* +nan.0 (* (sqr re) (sqrt 4.0))) (- (* +nan.0 (/ (sqr im) (sqrt 4.0))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 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 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr im)) (* 1/2 (/ 1 (sqr im)))) into 2
* [misc]backup-simplify:  Simplify (* 2.0 2) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (- (/ 1 re)) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1 re)) (* 0 1)) into (* 2.0 (/ 1 re))
* [misc]backup-simplify:  Simplify (/ (- (* 2.0 (/ 1 re)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (* 2.0 (/ 1 re)) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 2.0 (/ 1 re)) +nan.0)) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* 2.0 (/ 1 re)) +nan.0) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (* +nan.0 2.0) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 re) (/ 1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (sqr re)) 0) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr re)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr re)) 0) into (* 1/2 (/ 1 (sqr re)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (* 1/2 (/ 1 (sqr re))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (sqr re)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (sqr re)))) (+ (* 0 (/ 1 re)) (* 0 1))) into (* 1.0 (/ 1 (sqr re)))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 (sqr re))) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 2.0 (/ 1 re)) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1.0 (/ 1 (sqr re))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 1.0 (/ 1 (sqr re))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* 1.0 (/ 1 (sqr re))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))) in re
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of 1.0 in re
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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 (/ 1 re)) (- +nan.0)) in re
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [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 (- +nan.0) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [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 (+ (* 1.0 0) (* 0 1)) 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)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* 0 1.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 re)) (sqr (/ 1 im)))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ re im)) (- (+ (* +nan.0 (/ re (sqr im))) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr im)) 2) into (/ 1/2 (sqr im))
* [misc]backup-simplify:  Simplify (* 2.0 (/ 1/2 (sqr im))) into (/ 1.0 (sqr im))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1.0 (sqr im)) (* 2 (sqrt 0))) into (/ +nan.0 (sqr im))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im
* [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]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [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 (- (+ (* -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 (- (/ -1 re)) into (/ 1 re)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 re)) into (/ 1 re)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (/ 1 re))) (* 0 1)) into (- (* 2.0 (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ (- (- (* 2.0 (/ 1 re))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (* 2.0 (/ 1 re))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (* 2.0 (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* 0 2.0)) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 re) (/ -1 re)) into (/ 1 (sqr 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 (- 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 (sqr re)) 0) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr re)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr re)) 0) into (* 1/2 (/ 1 (sqr re)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (* 1/2 (/ 1 (sqr re))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (sqr re)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (sqr re)))) (+ (* 0 (- (/ 1 re))) (* 0 1))) into (* 1.0 (/ 1 (sqr re)))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 (sqr re))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (* 2.0 (/ 1 re)))))))) (* 2 0)) into (* +nan.0 (- (* 1.0 (/ 1 (sqr re))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 1.0 (/ 1 (sqr re))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* 1.0 (/ 1 (sqr re))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))) in re
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of 1.0 in re
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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 (/ 1 re)) (- +nan.0)) in re
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [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 (- +nan.0) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) 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 (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) 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)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 1.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (* 1 (/ 1 (- im))))) (+ (* (- +nan.0) (* 1 (/ 1 (- im)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* * * [misc]progress:  tayloring alt 3 of 8
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (/ 1 (sqr im)) into (/ 1 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (/ 1 (sqr re)) 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]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (/ 1 (sqr re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (/ 1 (sqr re)) 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]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (/ 1 (sqr re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in re
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (+ 0 (/ 1 (sqr re))) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr re)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr re))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr re)) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [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]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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr re)) (/ 0 (sqr re))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr re)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 im))) into (/ 1 im)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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 (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 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]taylor:  Taking taylor expansion of 0 in re
* [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 (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 re) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [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 (/ 1/2 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 (* (/ 1 re) 1)) into (/ 1 re)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 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]taylor:  Taking taylor expansion of 0 in re
* [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 (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (+ (* 0 0) (* 0 (/ -1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 re) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [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 (/ 1/2 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) 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 (* (/ 1 (- re)) 1)) into (/ -1 re)
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (/ 1 (sqr im)) into (/ 1 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [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 (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (/ 1 (sqr re)) 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]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (/ 1 (sqr re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [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 (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (/ 1 (sqr re)) 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]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (/ 1 (sqr re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in re
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 re)) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (- (/ 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]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (+ 0 (/ 1 (sqr re))) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr re)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr re)) 0) into (* 1/2 (/ 1 (sqr re)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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]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 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr re)) (/ 0 (sqr re))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr re)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 im))) (* -1 (* (/ 1 re) 1))) into (- (/ 1 im) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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 (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 (/ 1 re)) into re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 (/ 1 re)) into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (+ re (- re)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* re (/ 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* re (/ 0 (/ 1 re))) (* 0 (/ 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [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]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 into 0
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 (/ -1 re)) into (* -1 re)
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 (/ -1 re)) into (* -1 re)
* [misc]backup-simplify:  Simplify (- (* -1 re)) into re
* [misc]backup-simplify:  Simplify (+ re re) into (* 2 re)
* [misc]taylor:  Taking taylor expansion of (* 2 re) in re
* [misc]taylor:  Taking taylor expansion of 2 in re
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (* 2 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (* -1 re) (/ 0 (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (+ (* 0 0) (* 0 (/ -1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (* -1 re) (/ 0 (/ -1 re))) (* 0 (/ 0 (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [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]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 (+ (* 2 0) (+ (* 0 1) (* 0 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 (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (* -1 re) (/ 0 (/ -1 re))) (* 0 (/ 0 (/ -1 re))) (* 0 (/ 0 (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 (* 2 (* (/ 1 (- re)) 1)) into (/ -2 re)
* [misc]approximate:  Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (/ 1 (sqr im)) into (/ 1 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [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]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (sqr im)) 0) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ 1 (sqr im))) (* 2 (sqrt 0))) into (/ +nan.0 (sqr im))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (/ 1 (sqr re)) 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]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (/ 1 (sqr re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [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]backup-simplify:  Simplify (+ 1 0) into 1
* [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 (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr 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 (/ 1 (sqr re)) 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]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (/ 1 (sqr re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [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]backup-simplify:  Simplify (+ 1 0) into 1
* [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 re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [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 re)) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 re)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [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]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* 0 1)) 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 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 (+ 0 (/ 1 (sqr re))) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr re)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr re)) 0) into (* 1/2 (/ 1 (sqr re)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 (sqr re))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 re))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (sqr re))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (sqr re))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (sqr re))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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 (/ 1 re)) (- +nan.0)) in re
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [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 (- +nan.0) in re
* [misc]taylor:  Taking taylor expansion of +nan.0 in re
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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 (- (+ (* 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.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)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) 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)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.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 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 1/2))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (* 1 im))) (+ (* (- +nan.0) (* 1 im)) +nan.0)) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr im)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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 (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 (/ 1 re)) into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (+ re (- re)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* re (/ 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* re (/ 0 (/ 1 re))) (* 0 (/ 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* re (/ 0 (/ 1 re))) (* 0 (/ 0 (/ 1 re))) (* 0 (/ 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 re))) 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]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 (/ 1 re)) into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (+ re (- re)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* re (/ 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* re (/ 0 (/ 1 re))) (* 0 (/ 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* re (/ 0 (/ 1 re))) (* 0 (/ 0 (/ 1 re))) (* 0 (/ 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
* [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 re)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 re)) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* re (/ 0 (/ 1 re))) (* 0 (/ 0 (/ 1 re))) (* 0 (/ 0 (/ 1 re))) (* 0 (/ 0 (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
* [misc]backup-simplify:  Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (sqr 0) (+)) (* 2 (* (sqrt 1/2) (sqrt (/ 1 re))))) into (* -1/16 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))
* [misc]taylor:  Taking taylor expansion of (* -1/16 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re
* [misc]taylor:  Taking taylor expansion of -1/16 in re
* [misc]backup-simplify:  Simplify -1/16 into -1/16
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 1/2)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 1/2) in re
* [misc]taylor:  Taking taylor expansion of 1/2 in re
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 1/2)) into (/ 1 (sqrt 1/2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow re 5)) in re
* [misc]taylor:  Taking taylor expansion of (pow re 5) in re
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 1/2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/16 (- (* +nan.0 (/ 1 (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ 1 (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ 1 (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (sqrt 1/2)))) into (- (* +nan.0 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ 1 (sqrt 1/2)))) (pow (* 1 (/ 1 im)) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (* (/ 1 re) (/ 1 im))) (* (- (* +nan.0 (sqrt 1/2))) (* 1 (/ 1 im))))) into (- (+ (* +nan.0 (/ (sqrt 1/2) (* im re))) (- (+ (* +nan.0 (/ 1 (* (pow im 3) (sqrt 1/2)))) (- (* +nan.0 (/ (sqrt 1/2) im)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr im))) into (sqr im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr im) (/ 0 (/ 1 (sqr 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 (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 (/ -1 re)) into (* -1 re)
* [misc]backup-simplify:  Simplify (- (* -1 re)) into re
* [misc]backup-simplify:  Simplify (+ re re) into (* 2 re)
* [misc]backup-simplify:  Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (* -1 re) (/ 0 (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (/ 1 (- re)))) 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]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr re))) into (sqr re)
* [misc]backup-simplify:  Simplify (+ 0 (sqr re)) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))))) 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 (/ 1 (/ 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]backup-simplify:  Simplify (/ 1 (/ -1 re)) into (* -1 re)
* [misc]backup-simplify:  Simplify (- (* -1 re)) into re
* [misc]backup-simplify:  Simplify (+ re re) into (* 2 re)
* [misc]backup-simplify:  Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (* -1 re) (/ 0 (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in re
* [misc]taylor:  Taking taylor expansion of 2 in re
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (+ (* 0 0) (* 0 (/ -1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqr re) (/ 0 (/ 1 (sqr re)))) (* 0 (/ 0 (/ 1 (sqr re)))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))) (* 0 (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (* -1 re) (/ 0 (/ -1 re))) (* 0 (/ 0 (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 re)) (sqr 0) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
* [misc]taylor:  Taking taylor expansion of 1/4 in re
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in re
* [misc]taylor:  Taking taylor expansion of 2 in re
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow re 3)) in re
* [misc]taylor:  Taking taylor expansion of (pow re 3) in re
* [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 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 (- (* +nan.0 (/ 1 (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ 1 (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2))))
* [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 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqrt 2))) (sqr (* (/ 1 (- re)) 1))) (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (sqr (* 1 (/ 1 (- im))))) (* (- (* +nan.0 (sqrt 2))) (* (/ 1 (- re)) 1)))) into (- (+ (* +nan.0 (/ (sqrt 2) re)) (- (+ (* +nan.0 (/ 1 (* (sqr im) (sqrt 2)))) (- (* +nan.0 (/ (sqrt 2) (sqr re))))))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr im)) (/ 1 (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (/ 1 (sqr im)) into (/ 1 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr re)) 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]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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [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]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (sqr im)) 0) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ 1 (sqr im))) (* 2 (sqrt 0))) into (/ +nan.0 (sqr im))
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (/ +nan.0 (sqr im))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqr im))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqr im)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqr im))))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr im)) (/ 0 (sqr im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ +nan.0 (sqr im))) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (sqr im))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr im)) (/ 0 (sqr im))) (* 0 (/ 0 (sqr im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (+ 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
* [misc]backup-simplify:  Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (sqr im)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (sqr im))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 6))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 6))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 6))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 6))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))))) (pow (* re 1) 3)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) (sqr (* re 1))) (* (- (* +nan.0 (/ (sqrt 2.0) (sqr im)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (sqr re)) (pow im 4))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow re 3)) (pow im 4))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow re 3)) (pow im 6))) (- (* +nan.0 (/ (* (sqrt 2.0) re) (sqr im))))))))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (sqr im) (sqr re))) re)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (sqr im) (sqr re))) re)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 im))) (/ 1 (sqr (/ 1 re))))) (/ 1 (/ 1 re))))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (sqr im) (sqr re))) re)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (sqr im) (sqr re))) re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr im) (sqr re))) re)) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr im) (sqr re))) re) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr im) (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr im) (sqr re)) in re
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) 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 im)))) into 0
* [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 (+ im 0) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 im)) (sqr (* -1/2 (sqrt (/ 1 im)))) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
* [misc]backup-simplify:  Simplify (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) (sqr (* (/ 1 re) 1))) (+ (* (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) (* (/ 1 re) 1)) (* (sqrt 2.0) (sqrt im)))) into (- (+ (* 1/8 (* (/ (sqrt 2.0) (sqr re)) (sqrt (/ 1 (pow im 3))))) (* (sqrt 2.0) (sqrt im))) (* 1/2 (* (/ (sqrt 2.0) re) (sqrt (/ 1 im)))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))))))) into (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))))))) into (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr (/ 1 (- im)))) (/ 1 (sqr (/ 1 (- re)))))) (/ 1 (/ 1 (- re)))))))) into (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ (sqr im) (sqr re))) re)) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (sqr im) (sqr re))) re) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr im) (sqr re))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr im) (sqr re)) in re
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr im) 0) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) 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 im)))) into 0
* [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 (+ im 0) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 im)) (sqr (* 1/2 (sqrt (/ 1 im)))) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
* [misc]backup-simplify:  Simplify (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) (sqr (* (/ 1 (- re)) 1))) (+ (* (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) (* (/ 1 (- re)) 1)) (* (sqrt 2.0) (sqrt im)))) into (- (+ (* 1/8 (* (/ (sqrt 2.0) (sqr re)) (sqrt (/ 1 (pow im 3))))) (* (sqrt 2.0) (sqrt im))) (* 1/2 (* (/ (sqrt 2.0) re) (sqrt (/ 1 im)))))
* * * [misc]progress:  tayloring alt 4 of 8
* [misc]approximate:  Taking taylor expansion of (sqrt (* (* 2.0 im) im)) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* 2.0 im) im)) in im
* [misc]taylor:  Taking taylor expansion of (* (* 2.0 im) im) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 im) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]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 (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 2.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2.0 1) (* 0 0))) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2.0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* 2.0 im) im)) in im
* [misc]taylor:  Taking taylor expansion of (* (* 2.0 im) im) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 im) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]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 (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 2.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2.0 1) (* 0 0))) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2.0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
* [misc]approximate:  Taking taylor expansion of (sqrt (* (* 2.0 (/ 1 im)) (/ 1 im))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* 2.0 (/ 1 im)) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (* 2.0 (/ 1 im)) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* 2.0 (/ 1 im)) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (* 2.0 (/ 1 im)) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [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 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im)
* [misc]approximate:  Taking taylor expansion of (sqrt (* (* 2.0 (/ 1 (- im))) (/ 1 (- im)))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* 2.0 (/ 1 (- im))) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (* 2.0 (/ 1 (- im))) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (* 2.0 -1) into -2.0
* [misc]backup-simplify:  Simplify (* -2.0 -1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2.0 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* 2.0 (/ 1 (- im))) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (* 2.0 (/ 1 (- im))) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 (* 2.0 -1) into -2.0
* [misc]backup-simplify:  Simplify (* -2.0 -1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2.0 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [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 (- 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 (+ (* 2.0 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) 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 (- 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 (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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 (- 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 (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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 (- 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)) (* 0 (/ 0 -1)))) 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 (- 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)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr re) (* im im))) re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr re) (* im im))) re)) in im
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (- re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr re) (* im im))) re)) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (+ im 0) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr re) (* im im))) re)) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (+ im 0) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
* [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 +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* -1/2 (sqrt (/ 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 (sqrt (/ 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]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 (+ (* -1/2 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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) (* im re)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr im)) (- (* +nan.0 (* im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (+ 1 0) into 1
* [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)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 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 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ 1 (sqr im))) (* 2 (sqrt 0))) into (/ +nan.0 (sqr im))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 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 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ 1 (sqr im))) (* 2 (sqrt 0))) into (/ +nan.0 (sqr im))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (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 (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 (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) 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]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ +nan.0 (sqr im))) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (pow im 4)) 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 (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (/ 0 1) (+ (* +nan.0 (/ 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 (/ 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
* [misc]backup-simplify:  Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (sqr im)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 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 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) 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 (pow im 6)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 6) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im
* [misc]taylor:  Taking taylor expansion of 1/8 in im
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* 1/8 1) into 1/8
* [misc]backup-simplify:  Simplify (+ 0 1/8) into 1/8
* [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 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (+ 1 0) into 1
* [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))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2 (* 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) 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 (+ 0 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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 (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) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (+ (sqr re) (* im im))) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (+ im 0) 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) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 im) 0) 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) into 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 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)) (* -1 (* 1 re))) into (- im re)
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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 (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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 (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 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 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr 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]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 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]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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 (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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 (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr 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]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 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]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 (- 0) into 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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
* [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 5 of 8
* * * [misc]progress:  tayloring alt 6 of 8
* [misc]approximate:  Taking taylor expansion of (sqrt (* (* im im) 2.0)) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* im im) 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (* (* im im) 2.0) in im
* [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]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 2.0))) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* im im) 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (* (* im im) 2.0) in im
* [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]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 2.0))) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
* [misc]approximate:  Taking taylor expansion of (sqrt (* (* (/ 1 im) (/ 1 im)) 2.0)) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ 1 im) (/ 1 im)) 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 im) (/ 1 im)) 2.0) in im
* [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]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ 1 im) (/ 1 im)) 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 im) (/ 1 im)) 2.0) in im
* [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]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [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 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) 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 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im)
* [misc]approximate:  Taking taylor expansion of (sqrt (* (* (/ 1 (- im)) (/ 1 (- im))) 2.0)) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ 1 (- im)) (/ 1 (- im))) 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- im)) (/ 1 (- im))) 2.0) in im
* [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]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [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 (- 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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (* (/ 1 (- im)) (/ 1 (- im))) 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- im)) (/ 1 (- im))) 2.0) in im
* [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]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [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 (- 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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [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 (- 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 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) 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 (- 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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 (- 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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 (- 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)) (* 0 (/ 0 -1)))) 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 (- 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)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr re) (* im im))) re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr re) (* im im))) re)) in im
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (- re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr re) (* im im))) re)) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (+ im 0) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr re) (* im im))) re)) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (+ im 0) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
* [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 +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* -1/2 (sqrt (/ 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 (sqrt (/ 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]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 (+ (* -1/2 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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) (* im re)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr im)) (- (* +nan.0 (* im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (+ 1 0) into 1
* [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)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 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 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ 1 (sqr im))) (* 2 (sqrt 0))) into (/ +nan.0 (sqr im))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 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 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ 1 (sqr im))) (* 2 (sqrt 0))) into (/ +nan.0 (sqr im))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (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 (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 (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) 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]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ +nan.0 (sqr im))) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (pow im 4)) 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 (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (/ 0 1) (+ (* +nan.0 (/ 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 (/ 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
* [misc]backup-simplify:  Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (sqr im)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 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 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) 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 (pow im 6)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 6) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im
* [misc]taylor:  Taking taylor expansion of 1/8 in im
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* 1/8 1) into 1/8
* [misc]backup-simplify:  Simplify (+ 0 1/8) into 1/8
* [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 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (+ 1 0) into 1
* [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))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2 (* 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) 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 (+ 0 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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 (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) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (+ (sqr re) (* im im))) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (- (sqrt (+ (sqr re) (* im im))) re) 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]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 (+ im 0) 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) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 im) 0) 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) into 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 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)) (* -1 (* 1 re))) into (- im re)
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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 (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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 (- (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) 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]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]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 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 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr 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]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 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]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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 (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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 (- (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqr im)) 0) into (* 1/2 (/ 1 (sqr 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]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 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]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 (- 0) into 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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
* [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 7 of 8
* * * [misc]progress:  tayloring alt 8 of 8
* [misc]approximate:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re) 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]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re) 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]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 (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re) 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]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 (+ im 0) 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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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) 0) 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 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 (/ 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)) (* 1 (* 1 re))) into (+ im re)
* [misc]approximate:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) 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]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 (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) 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]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 (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) 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]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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (exp (- (log re))) 0) 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 0 into 0
* [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 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 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 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ (exp (- (log re))) (sqr im))) 0) 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 (+ (exp (- (log re))) (* 1 (* 1 (/ 1 (/ 1 re))))) into (+ (exp (- (log re))) re)
* [misc]approximate:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) 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]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 (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) 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]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 (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [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)))) into 0
* [misc]backup-simplify:  Simplify (+ (exp (- (log re))) 0) 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 0 into 0
* [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) 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 (+ 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 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 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 (- 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 (+ (* 1/2 (/ (exp (- (log re))) (sqr im))) 0) 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 (+ (exp (- (log re))) (* -1 (* 1 (/ 1 (/ 1 (- re)))))) into (+ (exp (- (log re))) re)
* [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 (sqrt (* 2.0 (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re)) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re) 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]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (+ re re) into (* 2 re)
* [misc]backup-simplify:  Simplify (* 2.0 (* 2 re)) into (* 4.0 re)
* [misc]backup-simplify:  Simplify (sqrt (* 4.0 re)) into (* (sqrt re) (sqrt 4.0))
* [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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (* 2 re))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 4.0 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re) 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]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 (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (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 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 im)) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr re) (* im im))))) re) 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]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 (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (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 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 im)) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) 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 (* (sqrt 2.0) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (- (* +nan.0 (/ 1 (sqrt 2.0))))) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (sqrt 2.0)))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [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) 0) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 im)) (sqr (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))) (+)) (* 2 (* (sqrt 2.0) (sqrt im)))) into (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) (sqrt 2.0)) (sqrt (/ 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 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) (sqrt 2.0)) (sqrt (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) im))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr (sqrt 2.0)) im)) in im
* [misc]taylor:  Taking taylor expansion of (* (sqr (sqrt 2.0)) im) in im
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) 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 (* (sqrt 2.0) (sqrt 2.0)) into (sqr (sqrt 2.0))
* [misc]backup-simplify:  Simplify (* (sqr (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (sqrt 2.0)) 1) (* 0 0)) into (sqr (sqrt 2.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (sqrt 2.0))) into (/ 1 (sqr (sqrt 2.0)))
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (sqr (sqrt 2.0)))) into (/ 1.0 (sqr (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (/ 1.0 (sqr (sqrt 2.0)))) into (- (* 1.0 (/ 1 (sqr (sqrt 2.0)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (* 1.0 (/ 1 (sqr (sqrt 2.0)))))) into (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0)))))
* [misc]backup-simplify:  Simplify (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) into (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 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]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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (sqrt 2.0)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr (sqrt 2.0))) (/ 0 (sqr (sqrt 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqr (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr (sqrt 2.0))) (/ 0 (sqr (sqrt 2.0)))) (* 0 (/ 0 (sqr (sqrt 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (sqr (sqrt 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (* (/ (- 1.0 (* 1.0 (/ 1 (sqr (sqrt 2.0))))) (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) (sqr (* 1 re))) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (/ 1 (sqrt 2.0)))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (sqr re) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (/ (sqr re) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0))))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) 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]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]backup-simplify:  Simplify (+ (exp (- (log im))) (/ 1 re)) into (+ (exp (- (log im))) (/ 1 re))
* [misc]backup-simplify:  Simplify (* 2.0 (+ (exp (- (log im))) (/ 1 re))) into (* 2.0 (+ (exp (- (log im))) (/ 1 re)))
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 (+ (exp (- (log im))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (exp (- (log im))) (/ 1 re))))
* [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 (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (+ (exp (- (log im))) (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 2.0 (+ (exp (- (log im))) (/ 1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) 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]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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) 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]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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.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]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)))) into 0
* [misc]backup-simplify:  Simplify (+ (exp (- (log re))) 0) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (exp (- (log re)))) (* 0 1)) into (* 2.0 (exp (- (log re))))
* [misc]backup-simplify:  Simplify (/ (- (* 2.0 (exp (- (log re)))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 2.0 (exp (- (log re)))) +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 (- (* 2.0 (exp (- (log re)))) +nan.0) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (exp (- (log re)))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* 2.0 (exp (- (log re)))) into (* 2.0 (exp (- (log re))))
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (exp (- (log re)))) (- +nan.0)) into (- (* 2.0 (exp (- (log re)))) +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.0)) into (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.0)) into (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.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 (/ (* (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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (exp (- (log re)))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (exp (- (log re)))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (exp (- (log re))))))) 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 (- (* +nan.0 (exp (- (log re)))))) 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 (exp (- (log re))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (- (log re)))) 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 (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 (* +nan.0 (exp (- (log re)))) into (* +nan.0 (exp (- (log re))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (- (log re))))) into (- (* +nan.0 (exp (- (log re)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (exp (- (log re)))))) into (- (+ +nan.0 (- (* +nan.0 (exp (- (log re)))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (+ +nan.0 (- (* +nan.0 (exp (- (log re)))))))) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (exp (- (log re)))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (+ +nan.0 (- (* +nan.0 (exp (- (log re))))))) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (exp (- (log re)))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (exp (- (log re))))))) (sqr (* 1 (/ 1 re)))) (+ (* (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.0)) (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ (exp (- (log re))) (sqr re))) (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqr re))) (- (* +nan.0 (/ (exp (- (log re))) re)))))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (+ (exp (- (log im))) (/ -1 re)) into (- (exp (- (log im))) (/ 1 re))
* [misc]backup-simplify:  Simplify (* 2.0 (- (exp (- (log im))) (/ 1 re))) into (* 2.0 (- (exp (- (log im))) (/ 1 re)))
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 (- (exp (- (log im))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (exp (- (log im))) (/ 1 re))))
* [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) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 (- (exp (- (log im))) (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 2.0 (- (exp (- (log im))) (/ 1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 2.0 -1) into -2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (exp (log (sqrt (+ (sqr (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) 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]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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 2.0 -1) into -2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -2.0 (* 2 (sqrt 0))) into +nan.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]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 (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (exp (- (log re))) 0) into (exp (- (log re)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (exp (- (log re)))) (* 0 -1)) into (* 2.0 (exp (- (log re))))
* [misc]backup-simplify:  Simplify (/ (- (* 2.0 (exp (- (log re)))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 2.0 (exp (- (log re)))) +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 (- (* 2.0 (exp (- (log re)))) +nan.0) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (exp (- (log re)))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [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 +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* 2.0 (exp (- (log re)))) into (* 2.0 (exp (- (log re))))
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (exp (- (log re)))) (- +nan.0)) into (- (* 2.0 (exp (- (log re)))) +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.0)) into (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.0)) into (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.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 (/ (* (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) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (exp (- (log re)))) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (exp (- (log re)))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (exp (- (log re))))))) 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 (- (* +nan.0 (exp (- (log re)))))) 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 (exp (- (log re))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (- (log re)))) 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 (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 (* +nan.0 (exp (- (log re)))) into (* +nan.0 (exp (- (log re))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (- (log re))))) into (- (* +nan.0 (exp (- (log re)))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (exp (- (log re)))))) into (- (+ +nan.0 (- (* +nan.0 (exp (- (log re)))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (+ +nan.0 (- (* +nan.0 (exp (- (log re)))))))) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (exp (- (log re)))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (+ +nan.0 (- (* +nan.0 (exp (- (log re))))))) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (exp (- (log re)))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (exp (- (log re))))))) (sqr (* 1 (/ 1 (- re))))) (+ (* (* +nan.0 (- (* 2.0 (exp (- (log re)))) +nan.0)) (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ (exp (- (log re))) (sqr re))) (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqr re))) (- (* +nan.0 (/ (exp (- (log re))) 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]progress:  simplifying alt 1 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (/ 1 im)))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (* 0.5 (sqrt 2.0)) (sqrt (+ (/ 1 re) (/ 1 im))))
* [misc]none:  prog is (λ (re im) (* (* 0.5 (sqrt 2.0)) (sqrt (+ (/ 1 re) (/ 1 im)))))
* * * [misc]progress:  simplifying alt 2 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (/ 1 re)))))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (* (* 0.5 (sqrt 2.0)) (sqrt (+ (/ 1 re) (/ 1 re))))
* [misc]none:  prog is (λ (re im) (* (* 0.5 (sqrt 2.0)) (sqrt (+ (/ 1 re) (/ 1 re)))))
* * * [misc]progress:  simplifying alt 3 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (/ -1 re)))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (* 0.5 (sqrt 2.0)) (sqrt (+ (/ 1 re) (/ -1 re))))
* [misc]none:  prog is (λ (re im) (* (* 0.5 (sqrt 2.0)) (sqrt (+ (/ 1 re) (/ -1 re)))))
* * * [misc]progress:  simplifying alt 4 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (/ 2 re))))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 2.0) 0.5) (sqrt (/ 2 re)))
* [misc]none:  prog is (λ (re im) (* (* (sqrt 2.0) 0.5) (sqrt (/ 2 re))))
* * * [misc]progress:  simplifying alt 5 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (+ (/ 1 re) (/ 1 im)))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (* 0.5 (sqrt 2.0)) (sqrt (+ (/ 1 re) (/ 1 im))))
* [misc]none:  prog is (λ (re im) (* (* 0.5 (sqrt 2.0)) (sqrt (+ (/ 1 re) (/ 1 im)))))
* * * [misc]progress:  simplifying alt 6 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (- (/ 1 re) (/ 1 im)))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (* (* 0.5 (sqrt 2.0)) (sqrt (- (/ 1 re) (/ 1 im))))
* [misc]none:  prog is (λ (re im) (* (* 0.5 (sqrt 2.0)) (sqrt (- (/ 1 re) (/ 1 im)))))
* * * [misc]progress:  simplifying alt 7 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (- (+ +nan.0 (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 8 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (sqr re))) (- (* +nan.0 (/ 1 im)))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 9 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ (* +nan.0 (/ 1 (* im re))) (- (* +nan.0 (/ 1 im)))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 10 of 72
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (sqr im)) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (sqr im)) (sqr re))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) im) re)) (- (* +nan.0 (* (sqrt 2.0) (sqr im)))))))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 11 of 72
* [enter]simplify:  Simplifying (* 0.5 (+ (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) (* 1/4 (* (/ (sqrt 2.0) (* (sqr im) (sqrt 2))) (sqrt (/ 1 (pow re 3)))))))
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (* 0.5 (+ (* (sqrt (/ 1 (cube re))) (/ (* 1/4 (sqrt 2.0)) (* (* im im) (sqrt 2)))) (* (* (sqrt 2.0) (sqrt re)) (sqrt 2))))
* [misc]none:  prog is (λ (re im) (* 0.5 (+ (* (sqrt (/ 1 (cube re))) (/ (* 1/4 (sqrt 2.0)) (* (* im im) (sqrt 2)))) (* (* (sqrt 2.0) (sqrt re)) (sqrt 2)))))
* * * [misc]progress:  simplifying alt 12 of 72
* [enter]simplify:  Simplifying (* 0.5 (* -1 (* (/ (* (sqrt 2.0) (sqrt 1/2)) im) (sqrt (/ 1 re)))))
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (- (* (* 0.5 (sqrt (/ 1 re))) (* (/ (sqrt 2.0) im) (sqrt 1/2))))
* [misc]none:  prog is (λ (re im) (- (* (* 0.5 (sqrt (/ 1 re))) (* (/ (sqrt 2.0) im) (sqrt 1/2)))))
* * * [misc]progress:  simplifying alt 13 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (* 2 re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (* re 2.0) 2)))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (* (* re 2.0) 2))))
* * * [misc]progress:  simplifying alt 14 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ im re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 2.0 (+ im re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))
* * * [misc]progress:  simplifying alt 15 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 0)))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt 0))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt 0)))
* * * [misc]progress:  simplifying alt 16 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (/ (* im im) (- im re)))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (/ (* (* im im) 2.0) (- im re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (/ (* (* im im) 2.0) (- im re)))))
* * * [misc]progress:  simplifying alt 17 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (/ (* im im) 0))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (/ im 0) 2.0)) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (* (/ im 0) 2.0)) 0.5))
* * * [misc]progress:  simplifying alt 18 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (/ (* im im) (* -2 re)))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (* (* im im) 2.0) (* -2 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (/ (* (* im im) 2.0) (* -2 re))) 0.5))
* * * [misc]progress:  simplifying alt 19 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (/ (* im im) (- im re)))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (/ (* (* im im) 2.0) (- im re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (/ (* (* im im) 2.0) (- im re)))))
* * * [misc]progress:  simplifying alt 20 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (/ (* im im) (- re re)))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (/ im 0) 2.0)))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (* (/ im 0) 2.0))))
* * * [misc]progress:  simplifying alt 21 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (* -1 re) re)))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (/ (* (* im im) 2.0) (- (- re) re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (/ (* (* im im) 2.0) (- (- re) re)))))
* * * [misc]progress:  simplifying alt 22 of 72
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (* re (sqrt 4.0))) (- (+ (* +nan.0 (* (sqr re) (sqrt 4.0))) (- (* +nan.0 (/ (sqr im) (sqrt 4.0)))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 23 of 72
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ re im)) (- (+ (* +nan.0 (/ re (sqr im))) (- +nan.0))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 24 of 72
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 25 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (- (/ 1 im) (/ 1 re)))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (* (* 0.5 (sqrt 2.0)) (sqrt (- (/ 1 im) (/ 1 re))))
* [misc]none:  prog is (λ (re im) (* (* 0.5 (sqrt 2.0)) (sqrt (- (/ 1 im) (/ 1 re)))))
* * * [misc]progress:  simplifying alt 26 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (- (/ 1 re) (/ 1 re)))))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (* 0.5 (* (sqrt 0) (sqrt 2.0)))
* [misc]none:  prog is (λ (re im) (* 0.5 (* (sqrt 0) (sqrt 2.0))))
* * * [misc]progress:  simplifying alt 27 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (- (/ -1 re) (/ 1 re)))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (* (* 0.5 (sqrt 2.0)) (sqrt (- (/ -1 re) (/ 1 re))))
* [misc]none:  prog is (λ (re im) (* (* 0.5 (sqrt 2.0)) (sqrt (- (/ -1 re) (/ 1 re)))))
* * * [misc]progress:  simplifying alt 28 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (- (/ 1 im) (/ 1 re)))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (* (* 0.5 (sqrt 2.0)) (sqrt (- (/ 1 im) (/ 1 re))))
* [misc]none:  prog is (λ (re im) (* (* 0.5 (sqrt 2.0)) (sqrt (- (/ 1 im) (/ 1 re)))))
* * * [misc]progress:  simplifying alt 29 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt 0)))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 2.0) 0.5) (sqrt 0))
* [misc]none:  prog is (λ (re im) (* (* (sqrt 2.0) 0.5) (sqrt 0)))
* * * [misc]progress:  simplifying alt 30 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (/ -2 re))))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 2.0) 0.5) (sqrt (/ -2 re)))
* [misc]none:  prog is (λ (re im) (* (* (sqrt 2.0) 0.5) (sqrt (/ -2 re))))
* * * [misc]progress:  simplifying alt 31 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr im)) (- +nan.0)))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 32 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (- (+ (* +nan.0 (/ (sqrt 1/2) (* im re))) (- (+ (* +nan.0 (/ 1 (* (pow im 3) (sqrt 1/2)))) (- (* +nan.0 (/ (sqrt 1/2) im)))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 33 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (- (+ (* +nan.0 (/ (sqrt 2) re)) (- (+ (* +nan.0 (/ 1 (* (sqr im) (sqrt 2)))) (- (* +nan.0 (/ (sqrt 2) (sqr re))))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 34 of 72
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ (* (sqrt 2.0) (sqr re)) (pow im 4))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow re 3)) (pow im 4))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow re 3)) (pow im 6))) (- (* +nan.0 (/ (* (sqrt 2.0) re) (sqr im)))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 35 of 72
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* 1/8 (* (/ (sqrt 2.0) (sqr re)) (sqrt (/ 1 (pow im 3))))) (* (sqrt 2.0) (sqrt im))) (* 1/2 (* (/ (sqrt 2.0) re) (sqrt (/ 1 im))))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (* (+ (* (sqrt 2.0) (sqrt im)) (- (* (/ (* (sqrt 2.0) 1/8) (* re re)) (sqrt (/ 1 (cube im)))) (* (* (/ (sqrt 2.0) re) 1/2) (sqrt (/ 1 im))))) 0.5)
* [misc]none:  prog is (λ (re im) (* (+ (* (sqrt 2.0) (sqrt im)) (- (* (/ (* (sqrt 2.0) 1/8) (* re re)) (sqrt (/ 1 (cube im)))) (* (* (/ (sqrt 2.0) re) 1/2) (sqrt (/ 1 im))))) 0.5))
* * * [misc]progress:  simplifying alt 36 of 72
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* 1/8 (* (/ (sqrt 2.0) (sqr re)) (sqrt (/ 1 (pow im 3))))) (* (sqrt 2.0) (sqrt im))) (* 1/2 (* (/ (sqrt 2.0) re) (sqrt (/ 1 im))))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (* (+ (* (sqrt 2.0) (sqrt im)) (- (* (/ (* (sqrt 2.0) 1/8) (* re re)) (sqrt (/ 1 (cube im)))) (* (* (/ (sqrt 2.0) re) 1/2) (sqrt (/ 1 im))))) 0.5)
* [misc]none:  prog is (λ (re im) (* (+ (* (sqrt 2.0) (sqrt im)) (- (* (/ (* (sqrt 2.0) 1/8) (* re re)) (sqrt (/ 1 (cube im)))) (* (* (/ (sqrt 2.0) re) 1/2) (sqrt (/ 1 im))))) 0.5))
* * * [misc]progress:  simplifying alt 37 of 72
* [enter]simplify:  Simplifying (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (- (sqrt (+ (sqr re) (* im im))) re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt 2.0) (* 0.5 im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
* [misc]none:  prog is (λ (re im) (/ (* (sqrt 2.0) (* 0.5 im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
* * * [misc]progress:  simplifying alt 38 of 72
* [enter]simplify:  Simplifying (* 0.5 (/ (* (sqrt 2.0) im) (sqrt (- (sqrt (+ (sqr re) (* im im))) re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt 2.0) (* 0.5 im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
* [misc]none:  prog is (λ (re im) (/ (* (sqrt 2.0) (* 0.5 im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
* * * [misc]progress:  simplifying alt 39 of 72
* [enter]simplify:  Simplifying (* 0.5 (/ (* -1 (* (sqrt 2.0) im)) (sqrt (- (sqrt (+ (sqr re) (* im im))) re))))
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (/ (* (- 0.5) (* im (sqrt 2.0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
* [misc]none:  prog is (λ (re im) (/ (* (- 0.5) (* im (sqrt 2.0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
* * * [misc]progress:  simplifying alt 40 of 72
* [enter]simplify:  Simplifying (* 0.5 (/ (sqrt (* (* 2.0 im) im)) (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr im)) (- (* +nan.0 (* im re)))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 41 of 72
* [enter]simplify:  Simplifying (* 0.5 (/ (sqrt (* (* 2.0 im) im)) 0))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* 2.0 (* im im))) (/ 0 0.5))
* [misc]none:  prog is (λ (re im) (/ (sqrt (* 2.0 (* im im))) (/ 0 0.5)))
* * * [misc]progress:  simplifying alt 42 of 72
* [enter]simplify:  Simplifying (* 0.5 (/ (sqrt (* (* 2.0 im) im)) (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 43 of 72
* [enter]simplify:  Simplifying (* 0.5 (/ (sqrt (* (* 2.0 im) im)) (sqrt (- im re))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* 2.0 (* im im))) (/ (sqrt (- im re)) 0.5))
* [misc]none:  prog is (λ (re im) (/ (sqrt (* 2.0 (* im im))) (/ (sqrt (- im re)) 0.5)))
* * * [misc]progress:  simplifying alt 44 of 72
* [enter]simplify:  Simplifying (* 0.5 (/ (sqrt (* (* 2.0 im) im)) (sqrt 0)))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (* im im) 2.0)) (/ (sqrt 0) 0.5))
* [misc]none:  prog is (λ (re im) (/ (sqrt (* (* im im) 2.0)) (/ (sqrt 0) 0.5)))
* * * [misc]progress:  simplifying alt 45 of 72
* [enter]simplify:  Simplifying (* 0.5 (/ (sqrt (* (* 2.0 im) im)) (sqrt (* -2 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (* im im) 2.0)) (/ (sqrt (* -2 re)) 0.5))
* [misc]none:  prog is (λ (re im) (/ (sqrt (* (* im im) 2.0)) (/ (sqrt (* -2 re)) 0.5)))
* * * [misc]progress:  simplifying alt 46 of 72
* [enter]simplify:  Simplifying (* 0.5 (/ (sqrt (* (* 2.0 im) im)) (sqrt (- im re))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* 2.0 (* im im))) (/ (sqrt (- im re)) 0.5))
* [misc]none:  prog is (λ (re im) (/ (sqrt (* 2.0 (* im im))) (/ (sqrt (- im re)) 0.5)))
* * * [misc]progress:  simplifying alt 47 of 72
* [enter]simplify:  Simplifying (* 0.5 (/ (sqrt (* (* 2.0 im) im)) (sqrt (- re re))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (* im im) 2.0)) (/ (sqrt 0) 0.5))
* [misc]none:  prog is (λ (re im) (/ (sqrt (* (* im im) 2.0)) (/ (sqrt 0) 0.5)))
* * * [misc]progress:  simplifying alt 48 of 72
* [enter]simplify:  Simplifying (* 0.5 (/ (sqrt (* (* 2.0 im) im)) (sqrt (- (* -1 re) re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (/ (* 0.5 (sqrt (* (* im im) 2.0))) (sqrt (- (- re) re)))
* [misc]none:  prog is (λ (re im) (/ (* 0.5 (sqrt (* (* im im) 2.0))) (sqrt (- (- re) re))))
* * * [misc]progress:  simplifying alt 49 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (/ (cbrt (* (sqrt 2.0) im)) (cbrt (sqrt (- (sqrt (+ (sqr re) (* im im))) re))))))
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (/ (* (* 0.5 im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (sqr re))) re)))
* [misc]none:  prog is (λ (re im) (/ (* (* 0.5 im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (sqr re))) re))))
* * * [misc]progress:  simplifying alt 50 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (/ (cbrt (* (sqrt 2.0) im)) (cbrt (sqrt (- (sqrt (+ (sqr re) (* im im))) re))))))
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (/ (* (* 0.5 im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (sqr re))) re)))
* [misc]none:  prog is (λ (re im) (/ (* (* 0.5 im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* im im) (sqr re))) re))))
* * * [misc]progress:  simplifying alt 51 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (/ (cbrt (* -1 (* (sqrt 2.0) im))) (cbrt (sqrt (- (sqrt (+ (sqr re) (* im im))) re))))))
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (/ (* (* 0.5 im) (- (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
* [misc]none:  prog is (λ (re im) (/ (* (* 0.5 im) (- (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
* * * [misc]progress:  simplifying alt 52 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr im)) (- (* +nan.0 (* im re)))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 53 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt 0))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* 0.5 (/ (sqrt (* im (* 2.0 im))) 0))
* [misc]none:  prog is (λ (re im) (* 0.5 (/ (sqrt (* im (* 2.0 im))) 0)))
* * * [misc]progress:  simplifying alt 54 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 55 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- im re))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (* 2.0 im) im)) (/ (sqrt (- im re)) 0.5))
* [misc]none:  prog is (λ (re im) (/ (sqrt (* (* 2.0 im) im)) (/ (sqrt (- im re)) 0.5)))
* * * [misc]progress:  simplifying alt 56 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt 0)))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (* (* 2.0 im) im)) (sqrt 0)) 0.5)
* [misc]none:  prog is (λ (re im) (* (/ (sqrt (* (* 2.0 im) im)) (sqrt 0)) 0.5))
* * * [misc]progress:  simplifying alt 57 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* -2 re))))))
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (* (* 2.0 im) im)) 0.5) (sqrt (* -2 re)))
* [misc]none:  prog is (λ (re im) (/ (* (sqrt (* (* 2.0 im) im)) 0.5) (sqrt (* -2 re))))
* * * [misc]progress:  simplifying alt 58 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- im re))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (* 2.0 im) im)) (/ (sqrt (- im re)) 0.5))
* [misc]none:  prog is (λ (re im) (/ (sqrt (* (* 2.0 im) im)) (/ (sqrt (- im re)) 0.5)))
* * * [misc]progress:  simplifying alt 59 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- re re))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (* 2.0 im) im)) (/ (sqrt 0) 0.5))
* [misc]none:  prog is (λ (re im) (/ (sqrt (* (* 2.0 im) im)) (/ (sqrt 0) 0.5)))
* * * [misc]progress:  simplifying alt 60 of 72
* [enter]simplify:  Simplifying (* 0.5 (cube (/ (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (* -1 re) re))))))
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (* 0.5 (/ (sqrt (* (* 2.0 im) im)) (sqrt (- (- re) re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (/ (sqrt (* (* 2.0 im) im)) (sqrt (- (- re) re)))))
* * * [misc]progress:  simplifying alt 61 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ im re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 2.0 (+ im re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))
* * * [misc]progress:  simplifying alt 62 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (exp (- (log re))) re))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (+ (* 2.0 re) (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (+ (* 2.0 re) (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 63 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (exp (- (log re))) re))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (+ (* 2.0 re) (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (+ (* 2.0 re) (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 64 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (exp (log im)) re))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (+ re im) 2.0)))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (* (+ re im) 2.0))))
* * * [misc]progress:  simplifying alt 65 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (+ re re) 2.0)) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (* (+ re re) 2.0)) 0.5))
* * * [misc]progress:  simplifying alt 66 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (exp (log (* -1 re))) re))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* re 2.0) (- (* re 2.0)))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (+ (* re 2.0) (- (* re 2.0)))) 0.5))
* * * [misc]progress:  simplifying alt 67 of 72
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (sqr re) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (/ (sqr re) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0)))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 68 of 72
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ (exp (- (log re))) (sqr re))) (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqr re))) (- (* +nan.0 (/ (exp (- (log re))) re))))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 69 of 72
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ (exp (- (log re))) (sqr re))) (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqr re))) (- (* +nan.0 (/ (exp (- (log re))) re))))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 70 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ im re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 2.0 (+ im re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))
* * * [misc]progress:  simplifying alt 71 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (exp (- (log re))) re))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (+ (* 2.0 re) (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (+ (* 2.0 re) (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 72 of 72
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (exp (- (log re))) re))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (+ (* 2.0 re) (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (+ (* 2.0 re) (/ 2.0 re)))))
* [misc]progress:  [Phase 3 of 3] Extracting.
* [enter]simplify:  Simplifying (* (+ (* (sqrt 2.0) (sqrt im)) (- (* (/ (* (sqrt 2.0) 1/8) (* re re)) (sqrt (/ 1 (cube im)))) (* (* (/ (sqrt 2.0) re) 1/2) (sqrt (/ 1 im))))) 0.5)
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (250 enodes)
* [exit]simplify:  Simplified to (* 0.5 (- (* (sqrt (/ 1 (cube im))) (* (/ 1/8 re) (/ (sqrt 2.0) re))) (- (* (sqrt (/ 1 im)) (* (sqrt 2.0) (/ 1/2 re))) (* (sqrt im) (sqrt 2.0)))))
* [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)))
* [enter]simplify:  Simplifying (* 0.5 (cube (cbrt (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) (/ 1 re)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 2.0) 0.5) (sqrt (- (sqrt (+ (/ (/ 1 re) re) (/ (/ 1 im) im))) (/ 1 re))))
* [enter]simplify:  Simplifying (* (* 0.5 (sqrt 2.0)) (sqrt (+ (/ 1 re) (/ 1 re))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 2.0) 0.5) (sqrt (+ (/ 1 re) (/ 1 re))))
* [enter]simplify:  Simplifying (/ (* (sqrt 2.0) (* 0.5 im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt 2.0) (* 0.5 im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
* [enter]simplify:  Simplifying (/ (* (- 0.5) (* im (sqrt 2.0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (/ (* (* 0.5 (sqrt 2.0)) (- im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
* [enter]simplify:  Simplifying (* (sqrt (/ (* (* im im) 2.0) (* -2 re))) 0.5)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (148 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (/ im -2) (/ (/ re 2.0) im))) 0.5)
* [enter]simplify:  Simplifying (* (* 0.5 (sqrt 2.0)) (sqrt (- (/ 1 im) (/ 1 re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 2.0) 0.5) (sqrt (- (/ 1 im) (/ 1 re))))
* [enter]simplify:  Simplifying (* (* 0.5 (sqrt 2.0)) (sqrt (- (/ 1 re) (/ 1 im))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 2.0) 0.5) (sqrt (- (/ 1 re) (/ 1 im))))
* [enter]simplify:  Simplifying (* (* 0.5 (sqrt 2.0)) (sqrt (- (/ -1 re) (/ 1 re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 2.0) 0.5) (sqrt (- (/ -1 re) (/ 1 re))))
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (* 2 re))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 2 (* re 2.0))))
* [enter]simplify:  Simplifying (sqrt (- (sqrt (+ (sqr re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (- (sqrt (+ (sqr re) (* im im))) re))
* [exit]simplify:  Simplified to (sqrt (- (sqrt (+ (sqr re) (* im im))) re))
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ im re))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 2.0 (+ im re))))
* [enter]simplify:  Simplifying (/ (sqrt (* (* im im) 2.0)) (/ (sqrt (* -2 re)) 0.5))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (sqr im) 2.0)) (/ 0.5 (sqrt (* re -2))))
* [enter]simplify:  Simplifying (* 0.5 (+ (* (sqrt (/ 1 (cube re))) (/ (* 1/4 (sqrt 2.0)) (* (* im im) (sqrt 2)))) (* (* (sqrt 2.0) (sqrt re)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (234 enodes)
* [exit]simplify:  Simplified to (* 0.5 (+ (* (sqrt (/ (/ 1 re) (* re re))) (/ (* (sqrt 2.0) 1/4) (* (sqrt 2) (* im im)))) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))))