* [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 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (+ re (sqrt (- (* re re) (* im im)))) 2.0)))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 3
* * * [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 (- 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) 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 (+ (sqrt (- (sqr im))) 0) into (sqrt (- (sqr im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -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 (sqrt -1) into (sqrt -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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (sqr im))))) into (/ 1/2 (sqrt (- (sqr im))))
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqrt (- (sqr im)))) 0) into (* 1/2 (/ 1 (sqrt (- (sqr im)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqrt (- (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 (sqrt (- (sqr im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt -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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (sqr im)))))))) (* 2 (sqrt (- (sqr 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt -1) (* im 1)) (* 1 (* 1 re))) into (+ (* im (sqrt -1)) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (- (/ 1 (sqr 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 (/ 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 (/ 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) 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 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (- (/ 1 (sqr 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 (/ 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 (- 0) into 0
* [misc]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) 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]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 (- 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) 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -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 (sqrt -1) into (sqrt -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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (sqr im))))) into (/ 1/2 (sqrt (- (sqr im))))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt (- (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 (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (sqr im)))))))) (* 2 (sqrt (- (sqr 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt -1) (* im 1)) into (* im (sqrt -1))
* [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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (- (/ 1 (sqr 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) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (- (/ 1 (sqr 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) 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 (- 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) 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 (+ (sqrt (- (sqr im))) 0) into (sqrt (- (sqr im)))
* [misc]backup-simplify:  Simplify (* 2.0 (sqrt (- (sqr im)))) into (* 2.0 (sqrt (- (sqr im))))
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 (sqrt (- (sqr im))))) into (* (sqrt 2.0) (sqrt (sqrt (- (sqr im)))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 (sqrt (- (sqr im))))) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 (sqrt (- (sqr im))))))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 (+ (sqrt (- (sqr im))) 0) into (sqrt (- (sqr im)))
* [misc]backup-simplify:  Simplify (* 2.0 (sqrt (- (sqr im)))) into (* 2.0 (sqrt (- (sqr im))))
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 (sqrt (- (sqr im))))) into (* (sqrt 2.0) (sqrt (sqrt (- (sqr im)))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 (sqrt (- (sqr im))))) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 (sqrt (- (sqr im))))))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr im)))))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (sqrt (- (sqr 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 (sqrt (- (sqr im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt -1) (* 2 (sqrt 0))) into (* +nan.0 (sqrt -1))
* [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 (sqrt (- (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 (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr 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 (sqrt (- (sqr im))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (- (sqr im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt -1)) (* 2 (sqrt 0))) into (/ +nan.0 (sqrt -1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2.0)) (/ +nan.0 (sqrt -1))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1))))) into (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* +nan.0 (sqrt -1))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt -1))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt -1)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt -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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (sqr im))))) into (/ 1/2 (sqrt (- (sqr im))))
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqrt (- (sqr im)))) 0) into (* 1/2 (/ 1 (sqrt (- (sqr im)))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (sqrt (- (sqr im)))))) (+ (* 0 1) (* 0 (sqrt (- (sqr im)))))) into (* 1.0 (/ 1 (sqrt (- (sqr im)))))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 (sqrt (- (sqr im))))) (sqr (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr im)))))))) (+)) (* 2 (* (sqrt 2.0) (sqrt (sqrt (- (sqr im))))))) into (* 1/2 (* (/ (- (* 1.0 (/ 1 (sqrt (- (sqr im))))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt (- (sqr im))))))) (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr im)))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ (- (* 1.0 (/ 1 (sqrt (- (sqr im))))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt (- (sqr im))))))) (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (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 (* (/ (- (* 1.0 (/ 1 (sqrt (- (sqr im))))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt (- (sqr im))))))) (sqrt 2.0)) (sqrt (/ 1 (sqrt (- (sqr im)))))) in im
* [misc]taylor:  Taking taylor expansion of (/ (- (* 1.0 (/ 1 (sqrt (- (sqr im))))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt (- (sqr im))))))) (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (- (sqr im))))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt (- (sqr im))))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (sqrt (- (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 (sqrt (- (sqr im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt (- (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 (sqrt 2.0)) (sqrt (- (sqr im))))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqr (sqrt 2.0)) (sqrt (- (sqr 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 (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (sqrt 2.0)) into (sqr (sqrt 2.0))
* [misc]backup-simplify:  Simplify (* (sqr (sqrt 2.0)) (sqrt -1)) into (* (sqr (sqrt 2.0)) (sqrt -1))
* [misc]backup-simplify:  Simplify (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))) into (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1)))
* [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 (sqrt -1))) into (/ 1.0 (sqrt -1))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1)))) into (/ 1.0 (* (sqr (sqrt 2.0)) (sqrt -1)))
* [misc]backup-simplify:  Simplify (- (/ 1.0 (* (sqr (sqrt 2.0)) (sqrt -1)))) into (- (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1)))))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 (sqrt -1)) (- (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1)))))) into (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1)))))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0)) into (/ (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt (- (sqr im))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (- (sqr im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt -1)) (* 2 (sqrt 0))) into (/ +nan.0 (sqrt -1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ +nan.0 (sqrt -1))) (+)) (* 2 0)) into (/ +nan.0 (sqr (sqrt -1)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (sqrt -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (sqrt 2.0)) 0) (* 0 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))) (/ 0 (* (sqr (sqrt 2.0)) (sqrt -1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) 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 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt -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 0) (* 0 (sqrt -1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))) (/ 0 (* (sqr (sqrt 2.0)) (sqrt -1)))) (* 0 (/ 0 (* (sqr (sqrt 2.0)) (sqrt -1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1)))))) 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 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0)) (/ +nan.0 (sqr (sqrt -1)))) (+ (* 0 (/ +nan.0 (sqrt -1))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqrt -1)))) (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0)) (/ +nan.0 (sqrt -1))) (* 0 0)) into (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqr (sqrt -1))))) (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqr (sqrt -1))))))))
* [misc]backup-simplify:  Simplify (* (/ (- (* 1.0 (/ 1 (sqrt -1))) (* 1.0 (/ 1 (* (sqr (sqrt 2.0)) (sqrt -1))))) (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqrt -1)))) (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqr (sqrt -1))))) (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqr (sqrt -1))))))))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqrt -1)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqrt -1))))))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqrt -1)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 2.0) 3) (sqrt -1))))))) (sqr (* 1 re))) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt -1)))) (* im 1)) (* (- (* +nan.0 (/ 1 (* (sqrt 2.0) (sqrt -1))))) (* 1 re)))) into (- (+ (* +nan.0 (/ re (* (sqrt 2.0) (sqrt -1)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* im (sqrt -1)))) (- (+ (* +nan.0 (/ (sqr re) (* (pow (sqrt 2.0) 3) (sqrt -1)))) (- (* +nan.0 (/ (sqr re) (* (sqrt 2.0) (sqrt -1)))))))))))
* [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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (+ (sqrt -1) 0) into (sqrt -1)
* [misc]backup-simplify:  Simplify (* 2.0 (sqrt -1)) into (* 2.0 (sqrt -1))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 2.0 (sqrt -1)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt -1))
* [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 (- (/ 1 (sqr 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]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) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (+ (sqrt -1) 0) into (sqrt -1)
* [misc]backup-simplify:  Simplify (* 2.0 (sqrt -1)) into (* 2.0 (sqrt -1))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 2.0 (sqrt -1)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt -1))
* [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 (- (/ 1 (sqr 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 (- (/ 1 (sqr 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) 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) 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 2 1 1)
* [misc]approximate:  Taking taylor expansion of (- (* re re) (* im im)) in (re im) around 0
* [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]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]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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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) 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 1) (* 1 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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) 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 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 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 (- 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 (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (sqr (* im 1))) (* 1 (sqr (* 1 re)))) into (- (sqr re) (sqr im))
* [misc]approximate:  Taking taylor expansion of (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in (re im) around 0
* [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]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]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]taylor:  Taking taylor expansion of 1 in im
* [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 (+ 0 0) 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)) (* 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 (- (/ 1 (sqr im))) into (- (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (sqr im)))) into (- (/ 1 (sqr im)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr im))) 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]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)) (* 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) 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 1) (* 0 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 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 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) 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 (- 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 (sqr (* 1 (/ 1 (/ 1 re))))) (* -1 (sqr (* (/ 1 (/ 1 im)) 1)))) into (- (sqr re) (sqr im))
* [misc]approximate:  Taking taylor expansion of (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in (re im) around 0
* [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]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]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]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-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 (- 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]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) 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 (- (/ 1 (sqr im))) into (- (/ 1 (sqr im)))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (sqr im)))) into (- (/ 1 (sqr im)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr im))) 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]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 (- 0) into 0
* [misc]backup-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) 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 1) (* 0 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 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) 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 (- 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 (sqr (* 1 (/ 1 (/ 1 (- re)))))) (* -1 (sqr (* (/ 1 (/ 1 (- im))) 1)))) into (- (sqr re) (sqr im))
* * * [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 2 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 65 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* im (sqrt -1)) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* im (sqrt -1)) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* re 2.0) (* (sqrt -1) (* 2.0 im)))) 0.5)
* * * * [misc]progress:  [ 2 / 65 ] 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 / 65 ] 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 / 65 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* im (sqrt -1)) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* im (sqrt -1)) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* re 2.0) (* (sqrt -1) (* 2.0 im)))) 0.5)
* * * * [misc]progress:  [ 5 / 65 ] 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 / 65 ] 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 / 65 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ re (* (sqrt 2.0) (sqrt -1)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* im (sqrt -1)))) (- (+ (* +nan.0 (/ (sqr re) (* (pow (sqrt 2.0) 3) (sqrt -1)))) (- (* +nan.0 (/ (sqr re) (* (sqrt 2.0) (sqrt -1)))))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ re (* (sqrt 2.0) (sqrt -1)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* im (sqrt -1)))) (- (+ (* +nan.0 (/ (sqr re) (* (pow (sqrt 2.0) 3) (sqrt -1)))) (- (* +nan.0 (/ (sqr re) (* (sqrt 2.0) (sqrt -1))))))))))))
* * * * [misc]progress:  [ 8 / 65 ] 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 / 65 ] 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 / 65 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (- (sqr re) (sqr im))) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (- (sqr re) (sqr im))) re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (+ re (sqrt (* (- re im) (+ im re)))) 2.0)))
* * * * [misc]progress:  [ 11 / 65 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (- (sqr re) (sqr im))) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (- (sqr re) (sqr im))) re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (+ re (sqrt (* (- re im) (+ im re)))) 2.0)))
* * * * [misc]progress:  [ 12 / 65 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (- (sqr re) (sqr im))) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (- (sqr re) (sqr im))) re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (+ re (sqrt (* (- re im) (+ im re)))) 2.0)))
* * * * [misc]progress:  [ 13 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (+ (sqrt (- (* re re) (* im im))) re) 1)))))>
* * * * [misc]progress:  [ 14 / 65 ] 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 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (log (+ re (sqrt (* (+ re im) (- re im)))))
* [exit]simplify:  Simplified to (log (+ re (sqrt (* (+ re im) (- re im)))))
* * * * [misc]progress:  [ 15 / 65 ] 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 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* [exit]simplify:  Simplified to (exp (+ re (sqrt (* (- re im) (+ re im)))))
* [exit]simplify:  Simplified to (exp (+ re (sqrt (* (- re im) (+ re im)))))
* * * * [misc]progress:  [ 16 / 65 ] 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 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (cbrt (+ re (sqrt (* (+ re im) (- re im)))))
* [exit]simplify:  Simplified to (cbrt (+ re (sqrt (* (+ re im) (- re im)))))
* * * * [misc]progress:  [ 17 / 65 ] 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 (13 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (cube (+ re (sqrt (* (- re im) (+ re im)))))
* [exit]simplify:  Simplified to (cube (+ re (sqrt (* (- re im) (+ re im)))))
* * * * [misc]progress:  [ 18 / 65 ] 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 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (* (+ re im) (- re im)))))
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (* (+ re im) (- re im)))))
* * * * [misc]progress:  [ 19 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (- (* re re) (* im im))) re))))))>
* * * * [misc]progress:  [ 20 / 65 ] 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 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (- (* (sqrt (* (+ re im) (- re im))) (* (+ re im) (- re im))) (cube re))
* [exit]simplify:  Simplified to (- (* (sqrt (* (+ re im) (- re im))) (* (+ re im) (- re 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 (17 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (- (- (sqr re) (- (* im im) (sqr re))) (* re (sqrt (* (- re im) (+ re im)))))
* [exit]simplify:  Simplified to (- (- (sqr re) (- (* im im) (sqr re))) (* re (sqrt (* (- re im) (+ re im)))))
* * * * [misc]progress:  [ 21 / 65 ] 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 (14 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (- (- (sqr re) (sqr re)) (* im im))
* [exit]simplify:  Simplified to (- (- (sqr re) (sqr re)) (* im im))
* [enter]simplify:  Simplifying (- (sqrt (- (* re re) (* im im))) re)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (- (sqrt (* (+ re im) (- re im))) re)
* [exit]simplify:  Simplified to (- (sqrt (* (+ re im) (- re im))) re)
* * * * [misc]progress:  [ 22 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re (sqrt (- (* re re) (* im im))))))))>
* * * * [misc]progress:  [ 23 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (- (* re re) (* im im)) 1/2) re)))))>
* * * * [misc]progress:  [ 24 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (- (* re re) (* im im))) 1) re)))))>
* * * * [misc]progress:  [ 25 / 65 ] 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 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (log (sqrt (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (log (sqrt (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 26 / 65 ] 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 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (exp (sqrt (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 27 / 65 ] 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 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 28 / 65 ] 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 (11 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (* (* (- re im) (+ re im)) (sqrt (* (- re im) (+ re im))))
* [exit]simplify:  Simplified to (* (* (- re im) (+ re im)) (sqrt (* (- re im) (+ re im))))
* * * * [misc]progress:  [ 29 / 65 ] 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 (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:  [ 30 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (sqrt (+ re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re im))
* [exit]simplify:  Simplified to (sqrt (+ re im))
* [enter]simplify:  Simplifying (sqrt (- re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (- re im))
* [exit]simplify:  Simplified to (sqrt (- re im))
* * * * [misc]progress:  [ 31 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re (sqrt (* im im)))) (sqrt (- re (sqrt (* im im))))) re)))))>
* [enter]simplify:  Simplifying (sqrt (+ re (sqrt (* im im))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (fabs im) re))
* [exit]simplify:  Simplified to (sqrt (+ (fabs im) re))
* [enter]simplify:  Simplifying (sqrt (- re (sqrt (* im im))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (- re (fabs im)))
* [exit]simplify:  Simplified to (sqrt (- re (fabs im)))
* * * * [misc]progress:  [ 32 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ (sqrt (* re re)) im)) (sqrt (- (sqrt (* re re)) im))) re)))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (* re re)) im))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (fabs re) im))
* [exit]simplify:  Simplified to (sqrt (+ (fabs re) im))
* [enter]simplify:  Simplifying (sqrt (- (sqrt (* re re)) im))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (- (fabs re) im))
* [exit]simplify:  Simplified to (sqrt (- (fabs re) im))
* * * * [misc]progress:  [ 33 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ (sqrt (* re re)) (sqrt (* im im)))) (sqrt (- (sqrt (* re re)) (sqrt (* im im))))) re)))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (* re re)) (sqrt (* im im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (fabs re) (fabs im)))
* [exit]simplify:  Simplified to (sqrt (+ (fabs re) (fabs im)))
* [enter]simplify:  Simplifying (sqrt (- (sqrt (* re re)) (sqrt (* im im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (- (fabs re) (fabs im)))
* [exit]simplify:  Simplified to (sqrt (- (fabs re) (fabs im)))
* * * * [misc]progress:  [ 34 / 65 ] 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 (34 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (sqr re) (sqr re)) (* (* im im) (+ (* im im) (sqr re)))))
* [exit]simplify:  Simplified to (sqrt (+ (* (sqr re) (sqr re)) (* (* im im) (+ (* im im) (sqr re)))))
* * * * [misc]progress:  [ 35 / 65 ] 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 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* im im)))
* * * * [misc]progress:  [ 36 / 65 ] 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 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 37 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (- (* re re) (* im im)))) re)))))>
* * * * [misc]progress:  [ 38 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (- (* re re) (* im im)))) re)))))>
* * * * [misc]progress:  [ 39 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)) 1/2)))>
* * * * [misc]progress:  [ 40 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))) 1)))>
* * * * [misc]progress:  [ 41 / 65 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (log (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0)))
* [exit]simplify:  Simplified to (log (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0)))
* * * * [misc]progress:  [ 42 / 65 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0)))
* [exit]simplify:  Simplified to (exp (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0)))
* * * * [misc]progress:  [ 43 / 65 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0)))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0)))
* * * * [misc]progress:  [ 44 / 65 ] 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 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (* (* (+ (sqrt (* (+ re im) (- re im))) re) 2.0) (sqrt (* (+ (sqrt (* (+ re im) (- re im))) re) 2.0)))
* [exit]simplify:  Simplified to (* (* (+ (sqrt (* (+ re im) (- re im))) re) 2.0) (sqrt (* (+ (sqrt (* (+ re im) (- re im))) re) 2.0)))
* * * * [misc]progress:  [ 45 / 65 ] 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 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (* (+ re im) (- re im)))))
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (* (+ re im) (- re im)))))
* * * * [misc]progress:  [ 46 / 65 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (sqrt (* 2.0 (- (* (- (* re re) (* im im)) (sqrt (- (* re re) (* im im)))) (cube re))))
* [exit]simplify:  Simplified to (sqrt (* 2.0 (- (* (- (* re re) (* im im)) (sqrt (- (* re re) (* im im)))) (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 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (sqrt (- (- (sqr re) (- (* im im) (sqr re))) (* re (sqrt (* (- re im) (+ re im))))))
* [exit]simplify:  Simplified to (sqrt (- (- (sqr re) (- (* im im) (sqr re))) (* re (sqrt (* (- re im) (+ re im))))))
* * * * [misc]progress:  [ 47 / 65 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (* re re) (+ (* im im) (* re re))) 2.0))
* [exit]simplify:  Simplified to (sqrt (* (- (* re re) (+ (* im im) (* re re))) 2.0))
* [enter]simplify:  Simplifying (sqrt (- (sqrt (- (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (- (sqrt (* (- re im) (+ re im))) re))
* [exit]simplify:  Simplified to (sqrt (- (sqrt (* (- re im) (+ re im))) re))
* * * * [misc]progress:  [ 48 / 65 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0)))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ (sqrt (- (* re re) (* im im))) re) 2.0)))
* * * * [misc]progress:  [ 49 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (fabs (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))))))>
* * * * [misc]progress:  [ 50 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))))))>
* * * * [misc]progress:  [ 51 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (log (/ (exp (* re re)) (exp (* im im))))) re)))))>
* [enter]simplify:  Simplifying (/ (exp (* re re)) (exp (* im im)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (exp (- (sqr re) (* im im)))
* [exit]simplify:  Simplified to (exp (- (sqr re) (* im im)))
* * * * [misc]progress:  [ 52 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (pow (- (* re re) (* im im)) 1)) re)))))>
* * * * [misc]progress:  [ 53 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (exp (log (- (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (log (- (* 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 (16 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (log (* (+ re im) (- re im)))
* [exit]simplify:  Simplified to (log (* (+ re im) (- re im)))
* * * * [misc]progress:  [ 54 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (log (exp (- (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (exp (- (* re re) (* im im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (exp (* (+ re im) (- re im)))
* [exit]simplify:  Simplified to (exp (* (+ re im) (- re im)))
* * * * [misc]progress:  [ 55 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (cube (cbrt (- (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (cbrt (- (* 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 (cbrt (* (+ re im) (- re im)))
* [exit]simplify:  Simplified to (cbrt (* (+ re im) (- re im)))
* * * * [misc]progress:  [ 56 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (cbrt (cube (- (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (cube (- (* re re) (* im im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (cube (* (+ re im) (- re im)))
* [exit]simplify:  Simplified to (cube (* (+ re im) (- re im)))
* * * * [misc]progress:  [ 57 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (sqr (sqrt (- (* re re) (* im im))))) 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:  [ 58 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (- (* im im)))) re)))))>
* [enter]simplify:  Simplifying (- (* im im))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (* im (- im))
* [exit]simplify:  Simplified to (* im (- im))
* * * * [misc]progress:  [ 59 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (* 1 (- (* re re) (* im im)))) re)))))>
* * * * [misc]progress:  [ 60 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (/ (- (pow (* re re) 3) (pow (* im im) 3)) (+ (sqr (* re re)) (+ (sqr (* im im)) (* (* re re) (* im im)))))) re)))))>
* [enter]simplify:  Simplifying (- (pow (* re re) 3) (pow (* im im) 3))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (* (- (cube re) (cube im)) (+ (cube re) (cube im)))
* [exit]simplify:  Simplified to (* (- (cube re) (cube im)) (+ (cube re) (cube im)))
* [enter]simplify:  Simplifying (+ (sqr (* re re)) (+ (sqr (* im im)) (* (* re re) (* im im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (+ (* (sqr re) (+ (* im im) (sqr re))) (* (* im im) (* im im)))
* [exit]simplify:  Simplified to (+ (* (sqr re) (+ (* im im) (sqr re))) (* (* im im) (* im im)))
* * * * [misc]progress:  [ 61 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (/ (- (sqr (* re re)) (sqr (* im im))) (+ (* re re) (* im im)))) re)))))>
* [enter]simplify:  Simplifying (- (sqr (* re re)) (sqr (* im im)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (- (* (sqr re) (sqr re)) (* (* im im) (* im im)))
* [exit]simplify:  Simplified to (- (* (sqr re) (sqr re)) (* (* im im) (* im im)))
* [enter]simplify:  Simplifying (+ (* re re) (* im im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (+ (sqr re) (* im im))
* [exit]simplify:  Simplified to (+ (sqr re) (* im im))
* * * * [misc]progress:  [ 62 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (* (+ re im) (- re im))) re)))))>
* [enter]simplify:  Simplifying (+ re im)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ re im)
* [exit]simplify:  Simplified to (+ re im)
* [enter]simplify:  Simplifying (- re im)
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (- re im)
* [exit]simplify:  Simplified to (- re im)
* * * * [misc]progress:  [ 63 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (* (+ re (sqrt (* im im))) (- re (sqrt (* im im))))) re)))))>
* [enter]simplify:  Simplifying (+ re (sqrt (* im im)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (+ (fabs im) re)
* [exit]simplify:  Simplified to (+ (fabs im) re)
* [enter]simplify:  Simplifying (- re (sqrt (* im im)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (- re (fabs im))
* [exit]simplify:  Simplified to (- re (fabs im))
* * * * [misc]progress:  [ 64 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (* (+ (sqrt (* re re)) im) (- (sqrt (* re re)) im))) re)))))>
* [enter]simplify:  Simplifying (+ (sqrt (* re re)) im)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (+ (fabs re) im)
* [exit]simplify:  Simplified to (+ (fabs re) im)
* [enter]simplify:  Simplifying (- (sqrt (* re re)) im)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (- (fabs re) im)
* [exit]simplify:  Simplified to (- (fabs re) im)
* * * * [misc]progress:  [ 65 / 65 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (* (+ (sqrt (* re re)) (sqrt (* im im))) (- (sqrt (* re re)) (sqrt (* im im))))) re)))))>
* [enter]simplify:  Simplifying (+ (sqrt (* re re)) (sqrt (* im im)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (+ (fabs re) (fabs im))
* [exit]simplify:  Simplified to (+ (fabs re) (fabs im))
* [enter]simplify:  Simplifying (- (sqrt (* re re)) (sqrt (* im im)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (- (fabs re) (fabs im))
* [exit]simplify:  Simplified to (- (fabs re) (fabs im))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in im
* [misc]taylor:  Taking taylor expansion of (+ re im) 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 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in im
* [misc]taylor:  Taking taylor expansion of (- re im) 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 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 (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt re))) into (* -1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]backup-simplify:  Simplify (* (sqrt im) (sqrt (- im))) into (* (sqrt im) (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt im) (sqrt (- im))) in 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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (/ 1/2 (sqrt (- im)))) (* (* 1/2 (sqrt (/ 1 im))) (sqrt (- im)))) into (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- 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)) (sqrt (- im))) in im
* [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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt im) (/ 1 (sqrt (- 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 im) (/ 1 (sqrt (- im)))) in 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]taylor:  Taking taylor expansion of (/ 1 (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 +nan.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (* 0 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) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqrt (- im)))) (+)) (* 2 (sqrt (- im)))) into (/ -1/8 (pow (sqrt (- im)) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* 1/2 (sqrt (/ 1 im)))) (+)) (* 2 (sqrt im))) into (* -1/8 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (/ -1/8 (pow (sqrt (- im)) 3))) (+ (* (* 1/2 (sqrt (/ 1 im))) (/ 1/2 (sqrt (- im)))) (* (* -1/8 (sqrt (/ 1 (pow im 3)))) (sqrt (- im))))) into (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im)))) in im
* [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]taylor:  Taking taylor expansion of (/ 1 (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- 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 im) (/ 1 (pow (sqrt (- im)) 3))) in 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]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt (- im)) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt (- im)) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log +nan.0)) into (+ (log im) (log +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (+ (log im) (log +nan.0))) into (* 3 (+ (log im) (log +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log im) (log +nan.0)))) into (exp (* 3 (+ (log im) (log +nan.0))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))) 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))) (sqrt (- im))) in im
* [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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.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 (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 +nan.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))) into 0
* [misc]backup-simplify:  Simplify (* 1/8 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 (- +nan.0)) (+ (* 0 0) (* 0 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 (+ (- +nan.0) (- +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 (sqr +nan.0) (+)) (* 2 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.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) (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* im re)) (+ (* (- +nan.0) (sqr (* 1 re))) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 (+ 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) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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) into -1
* [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) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 0) 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 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (/ 1 im) +nan.0)) 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 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 im) (/ 0 im)) (* 0 (/ 0 im)))) 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 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) 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 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 im)) (/ 1 re))) (* (- +nan.0) (sqr (* (/ 1 (/ 1 im)) (/ 1 re)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 (+ 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)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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) into 1
* [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)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 0) 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 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.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 (/ -1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ +nan.0 (/ 1 im))) 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) 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 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))) (* (- +nan.0) (sqr (* (/ 1 (/ 1 (- im))) (/ 1 (- re))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ re im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in im
* [misc]taylor:  Taking taylor expansion of (+ re im) 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 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (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 re))) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 (+ 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) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 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 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 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 im) +nan.0) 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 +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 im)) (sqr (/ 1 re)))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 im)) (/ 1 re))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 (+ 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)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 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 (/ -1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 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 (+ +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- im))) (sqr (/ 1 (- re))))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 2 1 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (- re im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in im
* [misc]taylor:  Taking taylor expansion of (- re im) 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 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 (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt re))) into (* -1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [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 (- 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 (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1/2 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqrt (- im)))) (+)) (* 2 (sqrt (- im)))) into (/ -1/8 (pow (sqrt (- im)) 3))
* [misc]taylor:  Taking taylor expansion of (/ -1/8 (pow (sqrt (- 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 (pow (sqrt (- im)) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log +nan.0)) into (+ (log im) (log +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (+ (log im) (log +nan.0))) into (* 3 (+ (log im) (log +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log im) (log +nan.0)))) into (exp (* 3 (+ (log im) (log +nan.0))))
* [misc]backup-simplify:  Simplify (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]backup-simplify:  Simplify (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0))))) (sqr (* 1 re))) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 im) (- (* 1/8 (/ (sqr re) (exp (* 3 (+ (log im) (log +nan.0)))))) (* +nan.0 re))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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) into -1
* [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) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 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 (- (/ 1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 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 (+ +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 im)) (sqr (/ 1 re)))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 im)) (/ 1 re))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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) into 1
* [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)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 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 (- (/ -1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 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 im) +nan.0) 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 +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- im))) (sqr (/ 1 (- re))))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (+ (* (sqrt (+ re im)) (sqrt (- re im))) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (+ re im)) (sqrt (- re im))) re) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in im
* [misc]taylor:  Taking taylor expansion of (+ re im) 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 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in im
* [misc]taylor:  Taking taylor expansion of (- re im) 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 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 (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt re))) into (* -1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (+ re im)) (sqrt (- re im))) re) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- 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 (+ (* (sqrt (+ re im)) (sqrt (- re im))) re) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- 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 (* (sqrt im) (sqrt (- im))) into (* (sqrt im) (sqrt (- im)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (sqrt (- im))) 0) into (* (sqrt im) (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt im) (sqrt (- im))) in 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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (/ 1/2 (sqrt (- im)))) (* (* 1/2 (sqrt (/ 1 im))) (sqrt (- im)))) into (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im)))))) 1) into (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (+ (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))) 1))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (+ (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))) 1)) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- 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)) (sqrt (- im))) in im
* [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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))) 1) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt im) (/ 1 (sqrt (- 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 im) (/ 1 (sqrt (- im)))) in 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]taylor:  Taking taylor expansion of (/ 1 (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 +nan.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 1) 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) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqrt (- im)))) (+)) (* 2 (sqrt (- im)))) into (/ -1/8 (pow (sqrt (- im)) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* 1/2 (sqrt (/ 1 im)))) (+)) (* 2 (sqrt im))) into (* -1/8 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (/ -1/8 (pow (sqrt (- im)) 3))) (+ (* (* 1/2 (sqrt (/ 1 im))) (/ 1/2 (sqrt (- im)))) (* (* -1/8 (sqrt (/ 1 (pow im 3)))) (sqrt (- im))))) into (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))))
* [misc]backup-simplify:  Simplify (+ (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))))) 0) into (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im)))) in im
* [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]taylor:  Taking taylor expansion of (/ 1 (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- 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 im) (/ 1 (pow (sqrt (- im)) 3))) in 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]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt (- im)) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt (- im)) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log +nan.0)) into (+ (log im) (log +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (+ (log im) (log +nan.0))) into (* 3 (+ (log im) (log +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log im) (log +nan.0)))) into (exp (* 3 (+ (log im) (log +nan.0))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))) 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))) (sqrt (- im))) in im
* [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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.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 (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 +nan.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))) into 0
* [misc]backup-simplify:  Simplify (* 1/8 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 (- +nan.0)) (+ (* 0 0) (* 0 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 (+ (- +nan.0) (- +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 (sqr +nan.0) (+)) (* 2 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.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) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* im re)) (+ (* (- +nan.0) (sqr (* 1 re))) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re))))))
* [misc]approximate:  Taking taylor expansion of (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 (+ 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) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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) into -1
* [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 (/ 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 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 (/ 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 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 (/ 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 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 +nan.0) (* +nan.0 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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (/ 1 im) +nan.0)) 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 into 1
* [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 im) (/ 0 im)) (* 0 (/ 0 im)))) 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 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) 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 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 im)) (/ 1 re))) (+ (* (- +nan.0) (sqr (* (/ 1 (/ 1 im)) (/ 1 re)))) (* 1 (* 1 (/ 1 (/ 1 re)))))) into (- re (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 (+ 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)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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) into 1
* [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 (/ 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 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (/ 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 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (/ 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 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 +nan.0) (* +nan.0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.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 (/ -1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ +nan.0 (/ 1 im))) 0))) into (- +nan.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 (+ (- +nan.0) 0) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 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 (- 0) into 0
* [misc]backup-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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) 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 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))) (+ (* (- +nan.0) (sqr (* (/ 1 (/ 1 (- im))) (/ 1 (- re))))) (* -1 (* 1 (/ 1 (/ 1 (- re))))))) into (- re (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) re))))
* * * * [misc]progress:  [ 2 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re))))
* * * * [misc]progress:  [ 3 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re))))
* * * * [misc]progress:  [ 4 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) (sqrt (- re im))) re))))
* * * * [misc]progress:  [ 5 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re))))
* * * * [misc]progress:  [ 6 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re))))
* * * * [misc]progress:  [ 7 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 im) (- (* 1/8 (/ (sqr re) (exp (* 3 (+ (log im) (log +nan.0)))))) (* +nan.0 re))))) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 im) (- (* 1/8 (/ (sqr re) (exp (* 3 (+ (log im) (log +nan.0)))))) (* +nan.0 re))))) re))))
* * * * [misc]progress:  [ 8 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))) re))))
* * * * [misc]progress:  [ 9 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))) re))))
* * * * [misc]progress:  [ 10 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))))))
* * * * [misc]progress:  [ 11 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (- re (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (- re (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))))
* * * * [misc]progress:  [ 12 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (- re (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (- re (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))))
* * * * [misc]progress:  [ 13 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (* (+ re im) (- re im)) 1/2) re)))))>
* [enter]simplify:  Simplifying (* (+ re im) (- re im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* (+ re im) (- re im))
* [exit]simplify:  Simplified to (* (+ re im) (- re im))
* * * * [misc]progress:  [ 14 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (* (sqrt (+ re im)) (sqrt (- re im))) 1) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) (sqrt (- re im)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- re im)))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- re im)))
* * * * [misc]progress:  [ 15 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (* (sqrt (+ re im)) (sqrt (- re im))) 1) re)))))>
* * * * [misc]progress:  [ 16 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (+ (log (sqrt (+ re im))) (log (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (+ re im))) (log (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (- re im))) (log (sqrt (+ re im))))
* [exit]simplify:  Simplified to (+ (log (sqrt (- re im))) (log (sqrt (+ re im))))
* * * * [misc]progress:  [ 17 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (* (sqrt (+ re im)) (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (log (* (sqrt (+ re im)) (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (log (* (sqrt (+ re im)) (sqrt (- re im))))
* [exit]simplify:  Simplified to (log (* (sqrt (+ re im)) (sqrt (- re im))))
* * * * [misc]progress:  [ 18 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (log (exp (* (sqrt (+ re im)) (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (+ re im)) (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (exp (* (sqrt (+ re im)) (sqrt (- re im))))
* [exit]simplify:  Simplified to (exp (* (sqrt (+ re im)) (sqrt (- re im))))
* * * * [misc]progress:  [ 19 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (* (cube (sqrt (+ re im))) (cube (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (* (cube (sqrt (+ re im))) (cube (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (* (sqrt (- re im)) (* (- re im) (+ re im))))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (* (sqrt (- re im)) (* (- re im) (+ re im))))
* * * * [misc]progress:  [ 20 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cube (cbrt (* (sqrt (+ re im)) (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (cbrt (* (sqrt (+ re im)) (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sqrt (+ re im)) (sqrt (- re im))))
* [exit]simplify:  Simplified to (cbrt (* (sqrt (+ re im)) (sqrt (- re im))))
* * * * [misc]progress:  [ 21 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (cube (* (sqrt (+ re im)) (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (cube (* (sqrt (+ re im)) (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ re im) (- re im)) (sqrt (+ re im))) (sqrt (- re im)))
* [exit]simplify:  Simplified to (* (* (* (+ re im) (- re im)) (sqrt (+ re im))) (sqrt (- re im)))
* * * * [misc]progress:  [ 22 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cube (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (- re im))) (cbrt (sqrt (+ re im))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (- re im))) (cbrt (sqrt (+ re im))))
* * * * [misc]progress:  [ 23 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (* (+ re im) (- re im))) re)))))>
* [enter]simplify:  Simplifying (* (+ re im) (- re im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* (+ re im) (- re im))
* [exit]simplify:  Simplified to (* (+ re im) (- re im))
* * * * [misc]progress:  [ 24 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqr (sqrt (* (sqrt (+ re im)) (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (+ re im)) (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (+ re im)) (sqrt (- re im))))
* [exit]simplify:  Simplified to (sqrt (* (sqrt (+ re im)) (sqrt (- re im))))
* * * * [misc]progress:  [ 25 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqr (* (sqrt (sqrt (+ re im))) (sqrt (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ re im))) (sqrt (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (- re im))) (sqrt (sqrt (+ re im))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (- re im))) (sqrt (sqrt (+ re im))))
* * * * [misc]progress:  [ 26 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- (pow re 3) (pow im 3)))) (* (sqrt (+ (sqr re) (- (sqr im) (* re im)))) (sqrt (+ (sqr re) (+ (sqr im) (* re im)))))) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- (pow re 3) (pow im 3))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (- (cube re) (cube im))
* [exit]simplify:  Simplified to (- (cube re) (cube im))
* [enter]simplify:  Simplifying (* (sqrt (+ (sqr re) (- (sqr im) (* re im)))) (sqrt (+ (sqr re) (+ (sqr im) (* re im)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr re) (* im (- im re)))) (sqrt (+ (* im (+ re im)) (sqr re))))
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr re) (* im (- im re)))) (sqrt (+ (* im (+ re im)) (sqr re))))
* * * * [misc]progress:  [ 27 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- (sqr re) (sqr im)))) (* (sqrt (+ (sqr re) (- (sqr im) (* re im)))) (sqrt (+ re im)))) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- (sqr re) (sqr im))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (cube re) (cube im))) (sqrt (- (sqr re) (* im im))))
* [exit]simplify:  Simplified to (* (sqrt (- (cube re) (cube im))) (sqrt (- (sqr re) (* im im))))
* [enter]simplify:  Simplifying (* (sqrt (+ (sqr re) (- (sqr im) (* re im)))) (sqrt (+ re im)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr re) (* im (- im re)))) (sqrt (+ re im)))
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr re) (* im (- im re)))) (sqrt (+ re im)))
* * * * [misc]progress:  [ 28 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (- (sqr re) (sqr im))) (sqrt (- (pow re 3) (pow im 3)))) (* (sqrt (- re im)) (sqrt (+ (sqr re) (+ (sqr im) (* re im)))))) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (- (sqr re) (sqr im))) (sqrt (- (pow re 3) (pow im 3))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (cube re) (cube im))) (sqrt (- (sqr re) (* im im))))
* [exit]simplify:  Simplified to (* (sqrt (- (cube re) (cube im))) (sqrt (- (sqr re) (* im im))))
* [enter]simplify:  Simplifying (* (sqrt (- re im)) (sqrt (+ (sqr re) (+ (sqr im) (* re im)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* im im) (* re (+ re im)))) (sqrt (- re im)))
* [exit]simplify:  Simplified to (* (sqrt (+ (* im im) (* re (+ re im)))) (sqrt (- re im)))
* * * * [misc]progress:  [ 29 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (- (sqr re) (sqr im))) (sqrt (- (sqr re) (sqr im)))) (* (sqrt (- re im)) (sqrt (+ re im)))) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (- (sqr re) (sqr im))) (sqrt (- (sqr re) (sqr im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (* (- re im) (+ re im))
* [exit]simplify:  Simplified to (* (- re im) (+ re im))
* [enter]simplify:  Simplifying (* (sqrt (- re im)) (sqrt (+ re im)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (sqrt (+ re im)))
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (sqrt (+ re im)))
* * * * [misc]progress:  [ 30 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (* (sqrt (+ re im)) (sqrt (- re im)))) re)))))>
* * * * [misc]progress:  [ 31 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (+ re im)) (sqrt 1)) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt 1))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt 1))
* * * * [misc]progress:  [ 32 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (+ re im)) 1) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) 1)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re im))
* [exit]simplify:  Simplified to (sqrt (+ re im))
* * * * [misc]progress:  [ 33 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt 1) (* (sqrt (+ re im)) (sqrt (- re im)))) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) (sqrt (- re im)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- re im)))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- re im)))
* * * * [misc]progress:  [ 34 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (* (sqrt (+ re im)) (sqrt (- re im)))) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) (sqrt (- re im)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- re im)))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- re im)))
* * * * [misc]progress:  [ 35 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (+ re im)) (sqrt (- (pow re 3) (pow im 3)))) (sqrt (+ (sqr re) (+ (sqr im) (* re im))))) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) (sqrt (- (pow re 3) (pow im 3))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- (cube re) (cube im))))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- (cube re) (cube im))))
* * * * [misc]progress:  [ 36 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (+ re im)) (sqrt (- (sqr re) (sqr im)))) (sqrt (+ re im))) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) (sqrt (- (sqr re) (sqr im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (* (- re im) (+ re im))))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (* (- re im) (+ re im))))
* * * * [misc]progress:  [ 37 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- re im))) (sqrt (+ (sqr re) (- (sqr im) (* re im))))) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- re im)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (sqrt (- (cube re) (cube im))))
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (sqrt (- (cube re) (cube im))))
* * * * [misc]progress:  [ 38 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (- (sqr re) (sqr im))) (sqrt (- re im))) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (- (sqr re) (sqr im))) (sqrt (- re im)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (sqrt (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (sqrt (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 39 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (- re im)) (sqrt (+ re im))) re)))))>
* * * * [misc]progress:  [ 40 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (pow (+ re im) 1/2) (sqrt (- re im))) re)))))>
* * * * [misc]progress:  [ 41 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (pow (sqrt (+ re im)) 1) (sqrt (- re im))) re)))))>
* * * * [misc]progress:  [ 42 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (exp (log (sqrt (+ re im)))) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (log (sqrt (+ re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ re im)))
* [exit]simplify:  Simplified to (log (sqrt (+ re im)))
* * * * [misc]progress:  [ 43 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (log (exp (sqrt (+ re im)))) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (exp (sqrt (+ re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (+ re im)))
* [exit]simplify:  Simplified to (exp (sqrt (+ re im)))
* * * * [misc]progress:  [ 44 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (cube (cbrt (sqrt (+ re im)))) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ re im)))
* [exit]simplify:  Simplified to (cbrt (sqrt (+ re im)))
* * * * [misc]progress:  [ 45 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (cbrt (cube (sqrt (+ re im)))) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (cube (sqrt (+ re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (+ re im))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (+ re im))
* * * * [misc]progress:  [ 46 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt 1) (sqrt (+ re im))) (sqrt (- re 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 im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re im))
* [exit]simplify:  Simplified to (sqrt (+ re im))
* * * * [misc]progress:  [ 47 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (/ (sqrt (- (pow re 3) (pow im 3))) (sqrt (+ (sqr re) (- (sqr im) (* re im))))) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (sqrt (- (pow re 3) (pow im 3)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (- (cube re) (cube im)))
* [exit]simplify:  Simplified to (sqrt (- (cube re) (cube im)))
* [enter]simplify:  Simplifying (sqrt (+ (sqr re) (- (sqr im) (* re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* (- im re) im)))
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* (- im re) im)))
* * * * [misc]progress:  [ 48 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (/ (sqrt (- (sqr re) (sqr im))) (sqrt (- re im))) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr re) (sqr im)))
* * [misc]simplify:  iters left: 4 (6 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)))
* [enter]simplify:  Simplifying (sqrt (- re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (- re im))
* [exit]simplify:  Simplified to (sqrt (- re im))
* * * * [misc]progress:  [ 49 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqr (sqrt (sqrt (+ re im)))) (sqrt (- re im))) re)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ re im)))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ re im)))
* * * * [misc]progress:  [ 50 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (sqrt (+ re im))) (sqrt (- re im))) re)))))>
* * * * [misc]progress:  [ 51 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* 1 (sqrt (+ re im))) (sqrt (- re im))) re)))))>
* * * * [misc]progress:  [ 52 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (pow (- re im) 1/2)) re)))))>
* * * * [misc]progress:  [ 53 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (pow (sqrt (- re im)) 1)) re)))))>
* * * * [misc]progress:  [ 54 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (exp (log (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (log (sqrt (- re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (log (sqrt (- re im)))
* [exit]simplify:  Simplified to (log (sqrt (- re im)))
* * * * [misc]progress:  [ 55 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (log (exp (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (exp (sqrt (- re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (- re im)))
* [exit]simplify:  Simplified to (exp (sqrt (- re im)))
* * * * [misc]progress:  [ 56 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (cube (cbrt (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (- re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (- re im)))
* [exit]simplify:  Simplified to (cbrt (sqrt (- re im)))
* * * * [misc]progress:  [ 57 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (cbrt (cube (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (cube (sqrt (- re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (- re im))
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (- re im))
* * * * [misc]progress:  [ 58 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (* (sqrt 1) (sqrt (- re 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 im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (- re im))
* [exit]simplify:  Simplified to (sqrt (- re im))
* * * * [misc]progress:  [ 59 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (/ (sqrt (- (pow re 3) (pow im 3))) (sqrt (+ (sqr re) (+ (sqr im) (* re im)))))) re)))))>
* [enter]simplify:  Simplifying (sqrt (- (pow re 3) (pow im 3)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (- (cube re) (cube im)))
* [exit]simplify:  Simplified to (sqrt (- (cube re) (cube im)))
* [enter]simplify:  Simplifying (sqrt (+ (sqr re) (+ (sqr im) (* re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* (+ re im) im)))
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* (+ re im) im)))
* * * * [misc]progress:  [ 60 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (/ (sqrt (- (sqr re) (sqr im))) (sqrt (+ re im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr re) (sqr im)))
* * [misc]simplify:  iters left: 4 (6 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)))
* [enter]simplify:  Simplifying (sqrt (+ re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re im))
* [exit]simplify:  Simplified to (sqrt (+ re im))
* * * * [misc]progress:  [ 61 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (sqr (sqrt (sqrt (- re im))))) re)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- re im)))
* [exit]simplify:  Simplified to (sqrt (sqrt (- re im)))
* * * * [misc]progress:  [ 62 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (fabs (sqrt (- re im)))) re)))))>
* * * * [misc]progress:  [ 63 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (* 1 (sqrt (- re im)))) re)))))>
* * * * [misc]progress:  [ 64 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (+ (* (sqrt (+ re im)) (sqrt (- re im))) re) 1)))))>
* * * * [misc]progress:  [ 65 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (log (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* [exit]simplify:  Simplified to (log (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * * * [misc]progress:  [ 66 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (exp (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (exp (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* [exit]simplify:  Simplified to (exp (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * * * [misc]progress:  [ 67 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* [exit]simplify:  Simplified to (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * * * [misc]progress:  [ 68 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (cube (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (cube (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (198 enodes)
* * [misc]simplify:  iters left: 1 (434 enodes)
* [exit]simplify:  Simplified to (cube (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* [exit]simplify:  Simplified to (cube (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * * * [misc]progress:  [ 69 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (sqr (sqrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* [exit]simplify:  Simplified to (sqrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * * * [misc]progress:  [ 70 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))))))>
* * * * [misc]progress:  [ 71 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (pow (* (sqrt (+ re im)) (sqrt (- re im))) 3) (pow re 3)) (+ (sqr (* (sqrt (+ re im)) (sqrt (- re im)))) (- (sqr re) (* (* (sqrt (+ re im)) (sqrt (- re im))) re))))))))>
* [enter]simplify:  Simplifying (- (pow (* (sqrt (+ re im)) (sqrt (- re im))) 3) (pow re 3))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (- (* (* (- re im) (+ re im)) (* (sqrt (+ re im)) (sqrt (- re im)))) (cube re))
* [exit]simplify:  Simplified to (- (* (* (- re im) (+ re im)) (* (sqrt (+ re im)) (sqrt (- re im)))) (cube re))
* [enter]simplify:  Simplifying (+ (sqr (* (sqrt (+ re im)) (sqrt (- re im)))) (- (sqr re) (* (* (sqrt (+ re im)) (sqrt (- re im))) re)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (- (+ (sqr re) (* (- re im) (+ re im))) (* (sqrt (- re im)) (* re (sqrt (+ re im)))))
* [exit]simplify:  Simplified to (- (+ (sqr re) (* (- re im) (+ re im))) (* (sqrt (- re im)) (* re (sqrt (+ re im)))))
* * * * [misc]progress:  [ 72 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (sqr (* (sqrt (+ re im)) (sqrt (- re im)))) (sqr re)) (- (* (sqrt (+ re im)) (sqrt (- re im))) re))))))>
* [enter]simplify:  Simplifying (- (sqr (* (sqrt (+ re im)) (sqrt (- re im)))) (sqr re))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (- (* (- re im) (+ re im)) (sqr re))
* [exit]simplify:  Simplified to (- (* (- re im) (+ re im)) (sqr re))
* [enter]simplify:  Simplifying (- (* (sqrt (+ re im)) (sqrt (- re im))) re)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (- (* (sqrt (+ re im)) (sqrt (- re im))) re)
* [exit]simplify:  Simplified to (- (* (sqrt (+ re im)) (sqrt (- re im))) re)
* * * * [misc]progress:  [ 73 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re (* (sqrt (+ re im)) (sqrt (- re im))))))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re 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 (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) into (+ (sqrt (* (- re im) (+ im re))) re)
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) into (+ (sqrt (* (- re im) (+ im re))) re)
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) into (+ (sqrt (* (- re im) (+ im re))) re)
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (* (- re im) (+ im re))) re) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (* (- re im) (+ im re))) in im
* [misc]taylor:  Taking taylor expansion of (* (- re im) (+ im re)) in im
* [misc]taylor:  Taking taylor expansion of (- re im) 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 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ im re) in im
* [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 re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ re 0) into re
* [misc]backup-simplify:  Simplify (+ 0 re) into re
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* re 1) (* -1 re)) 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 re) into (* 2 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 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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* -1 1) (* 0 re))) 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))) into (- (* 1/2 (/ 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 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* -1 0) (+ (* 0 1) (* 0 re)))) 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 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 (+ (* (- (* 1/2 (/ 1 re))) (sqr (* im 1))) (* 2 re)) into (- (* 2 re) (* 1/2 (/ (sqr im) re)))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) into (+ (/ 1 re) (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) into (+ (/ 1 re) (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) into (+ (/ 1 re) (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))))) 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 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 re) 0) into (/ 1 re)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 re) 0) into (/ 1 re)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 re)) (* (/ 1 re) 1)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 re) 0) into (/ 1 re)
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 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 (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) 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 (- (+ (* (/ 1 re) (/ 0 re)))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 re) (/ 1 re)) (* 0 1))) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr re)) (sqr 0) (+)) (* 2 (sqrt -1))) into (/ 1/2 (* (sqrt -1) (sqr re)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/2 (* (sqrt -1) (sqr re)))) into (* 1/2 (/ 1 (* (sqrt -1) (sqr re))))
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (* (sqrt -1) (sqr re)))) into (/ 1/2 (* (sqrt -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]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) 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 (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) 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 (+ (* -1 0) (+ (* (/ 1 re) 0) (+ (* 0 (/ 1 re)) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt -1) (sqr re))))))) (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 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]backup-simplify:  Simplify (+ (* (/ 1/2 (* (sqrt -1) (sqr re))) (* (/ 1 im) 1)) (/ 1 re)) into (+ (* 1/2 (/ 1 (* im (* (sqrt -1) (sqr re))))) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) into (- (* (sqrt (- (/ 1 im) (/ 1 re))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) into (- (* (sqrt (- (/ 1 im) (/ 1 re))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) into (- (* (sqrt (- (/ 1 im) (/ 1 re))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (- (/ 1 im) (/ 1 re))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (- (/ 1 im) (/ 1 re))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 im) (/ 1 re)) 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 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 (- (+ (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 re) 0) into (/ 1 re)
* [misc]backup-simplify:  Simplify (- (/ 1 re)) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 re)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 re)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (/ (- (- (/ 1 re)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 re)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (/ 1 re)))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ +nan.0 (/ 1 re))) 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (/ 1 re)) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (- (/ 1 re))) into (- (+ (/ 1 re) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 re) (- +nan.0))) into (- (+ +nan.0 (/ 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 (- (+ (* (/ 1 re) (/ 0 re)))) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 re))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 re))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 re)))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 re))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))) 0) into (- (+ +nan.0 (- (* +nan.0 (/ 1 re)))))
* [misc]backup-simplify:  Simplify (- (+ +nan.0 (- (* +nan.0 (/ 1 re))))) into (- (+ +nan.0 (- (* +nan.0 (/ 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 (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) 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) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (+ +nan.0 (/ 1 re)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 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 (sqr (* +nan.0 (+ +nan.0 (/ 1 re)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 re))) (* +nan.0 (+ +nan.0 (/ 1 re)))) (+ (* (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re)))))))) 0))))) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re)))))))) 0) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ 1 (sqr re))))))))
* [misc]backup-simplify:  Simplify (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ 1 (sqr re)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ 1 (sqr re))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ 1 (sqr re)))))))) (sqr (* (/ 1 (- im)) 1))) (+ (* (- (+ +nan.0 (- (* +nan.0 (/ 1 re))))) (* (/ 1 (- im)) 1)) (- (+ +nan.0 (/ 1 re))))) into (- (+ (* +nan.0 (/ 1 (* (sqr im) re))) (- (/ 1 re) (+ (* +nan.0 (/ 1 (sqr im))) (- (+ (* +nan.0 (/ 1 (* im re))) (- (+ (* +nan.0 (/ 1 im)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (* (sqr im) (sqr re)))))))))))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in im
* [misc]taylor:  Taking taylor expansion of (+ re im) 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 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in im
* [misc]taylor:  Taking taylor expansion of (- re im) 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 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 (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt re))) into (* -1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]backup-simplify:  Simplify (* (sqrt im) (sqrt (- im))) into (* (sqrt im) (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt im) (sqrt (- im))) in 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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (/ 1/2 (sqrt (- im)))) (* (* 1/2 (sqrt (/ 1 im))) (sqrt (- im)))) into (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- 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)) (sqrt (- im))) in im
* [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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt im) (/ 1 (sqrt (- 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 im) (/ 1 (sqrt (- im)))) in 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]taylor:  Taking taylor expansion of (/ 1 (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 +nan.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (* 0 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) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqrt (- im)))) (+)) (* 2 (sqrt (- im)))) into (/ -1/8 (pow (sqrt (- im)) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* 1/2 (sqrt (/ 1 im)))) (+)) (* 2 (sqrt im))) into (* -1/8 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (/ -1/8 (pow (sqrt (- im)) 3))) (+ (* (* 1/2 (sqrt (/ 1 im))) (/ 1/2 (sqrt (- im)))) (* (* -1/8 (sqrt (/ 1 (pow im 3)))) (sqrt (- im))))) into (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im)))) in im
* [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]taylor:  Taking taylor expansion of (/ 1 (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- 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 im) (/ 1 (pow (sqrt (- im)) 3))) in 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]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt (- im)) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt (- im)) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log +nan.0)) into (+ (log im) (log +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (+ (log im) (log +nan.0))) into (* 3 (+ (log im) (log +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log im) (log +nan.0)))) into (exp (* 3 (+ (log im) (log +nan.0))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))) 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))) (sqrt (- im))) in im
* [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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.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 (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 +nan.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))) into 0
* [misc]backup-simplify:  Simplify (* 1/8 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 (- +nan.0)) (+ (* 0 0) (* 0 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 (+ (- +nan.0) (- +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 (sqr +nan.0) (+)) (* 2 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.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) (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* im re)) (+ (* (- +nan.0) (sqr (* 1 re))) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 (+ 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) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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) into -1
* [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) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 0) 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 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (/ 1 im) +nan.0)) 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 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 im) (/ 0 im)) (* 0 (/ 0 im)))) 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 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) 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 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 im)) (/ 1 re))) (* (- +nan.0) (sqr (* (/ 1 (/ 1 im)) (/ 1 re)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 (+ 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)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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) into 1
* [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)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 0) 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 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.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 (/ -1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ +nan.0 (/ 1 im))) 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) 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 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))) (* (- +nan.0) (sqr (* (/ 1 (/ 1 (- im))) (/ 1 (- re))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ re im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in im
* [misc]taylor:  Taking taylor expansion of (+ re im) 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 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (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 re))) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 (+ 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) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 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 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 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 im) +nan.0) 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 +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 im)) (sqr (/ 1 re)))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 im)) (/ 1 re))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 (+ 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)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 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 (/ -1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 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 (+ +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- im))) (sqr (/ 1 (- re))))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (- re im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in im
* [misc]taylor:  Taking taylor expansion of (- re im) 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 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 (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt re))) into (* -1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [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 (- 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 (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1/2 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqrt (- im)))) (+)) (* 2 (sqrt (- im)))) into (/ -1/8 (pow (sqrt (- im)) 3))
* [misc]taylor:  Taking taylor expansion of (/ -1/8 (pow (sqrt (- 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 (pow (sqrt (- im)) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log +nan.0)) into (+ (log im) (log +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (+ (log im) (log +nan.0))) into (* 3 (+ (log im) (log +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log im) (log +nan.0)))) into (exp (* 3 (+ (log im) (log +nan.0))))
* [misc]backup-simplify:  Simplify (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]backup-simplify:  Simplify (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0))))) (sqr (* 1 re))) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 im) (- (* 1/8 (/ (sqr re) (exp (* 3 (+ (log im) (log +nan.0)))))) (* +nan.0 re))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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) into -1
* [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) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 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 (- (/ 1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 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 (+ +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 im)) (sqr (/ 1 re)))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 im)) (/ 1 re))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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) into 1
* [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)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 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 (- (/ -1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 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 im) +nan.0) 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 +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- im))) (sqr (/ 1 (- re))))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* * * [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 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 76 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 2 re) (* 1/2 (/ (sqr im) re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (- (* 2 re) (* 1/2 (/ (sqr im) re))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (- (* 2 re) (/ (* im 1/2) (/ re im))) 2.0)))
* * * * [misc]progress:  [ 2 / 76 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1/2 (/ 1 (* im (* (sqrt -1) (sqr re))))) (/ 1 re))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* 1/2 (/ 1 (* im (* (sqrt -1) (sqr re))))) (/ 1 re)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (225 enodes)
* * [misc]simplify:  iters left: 1 (324 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (/ 2.0 re) (* (/ 1/2 (* re re)) (/ (/ 2.0 im) (sqrt -1))))) 0.5)
* * * * [misc]progress:  [ 3 / 76 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ (* +nan.0 (/ 1 (* (sqr im) re))) (- (/ 1 re) (+ (* +nan.0 (/ 1 (sqr im))) (- (+ (* +nan.0 (/ 1 (* im re))) (- (+ (* +nan.0 (/ 1 im)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (* (sqr im) (sqr re)))))))))))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (- (+ (* +nan.0 (/ 1 (* (sqr im) re))) (- (/ 1 re) (+ (* +nan.0 (/ 1 (sqr im))) (- (+ (* +nan.0 (/ 1 (* im re))) (- (+ (* +nan.0 (/ 1 im)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (* (sqr im) (sqr re))))))))))))))))))
* * * * [misc]progress:  [ 4 / 76 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) re))))))
* * * * [misc]progress:  [ 5 / 76 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re))))))
* * * * [misc]progress:  [ 6 / 76 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re))))))
* * * * [misc]progress:  [ 7 / 76 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) (sqrt (- re im))) re))))))
* * * * [misc]progress:  [ 8 / 76 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re))))))
* * * * [misc]progress:  [ 9 / 76 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re))))))
* * * * [misc]progress:  [ 10 / 76 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 im) (- (* 1/8 (/ (sqr re) (exp (* 3 (+ (log im) (log +nan.0)))))) (* +nan.0 re))))) re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 im) (- (* 1/8 (/ (sqr re) (exp (* 3 (+ (log im) (log +nan.0)))))) (* +nan.0 re))))) re))))))
* * * * [misc]progress:  [ 11 / 76 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))) re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))) re))))))
* * * * [misc]progress:  [ 12 / 76 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))) re)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))) re))))))
* * * * [misc]progress:  [ 13 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)) 3)))))>
* * * * [misc]progress:  [ 14 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) 1)))))>
* * * * [misc]progress:  [ 15 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))))))))>
* [enter]simplify:  Simplifying (log (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (log (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* [exit]simplify:  Simplified to (log (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * * * [misc]progress:  [ 16 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))))))))>
* [enter]simplify:  Simplifying (exp (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (exp (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* [exit]simplify:  Simplified to (exp (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * * * [misc]progress:  [ 17 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))))))))>
* [enter]simplify:  Simplifying (cbrt (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* [exit]simplify:  Simplified to (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * * * [misc]progress:  [ 18 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (cube (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))))))))>
* [enter]simplify:  Simplifying (cube (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (240 enodes)
* [exit]simplify:  Simplified to (cube (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* [exit]simplify:  Simplified to (cube (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * * * [misc]progress:  [ 19 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (* (cube (cbrt 1)) (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))))))))>
* [enter]simplify:  Simplifying (cube (cbrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)
* [exit]simplify:  Simplified to (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)
* * * * [misc]progress:  [ 20 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (* (cube 1) (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))))))))>
* [enter]simplify:  Simplifying (cube 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cube 1)
* [exit]simplify:  Simplified to (cube 1)
* [enter]simplify:  Simplifying (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)
* [exit]simplify:  Simplified to (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)
* * * * [misc]progress:  [ 21 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (cube (cbrt (- (pow (* (sqrt (+ re im)) (sqrt (- re im))) 3) (pow re 3)))) (cube (cbrt (+ (sqr (* (sqrt (+ re im)) (sqrt (- re im)))) (- (sqr re) (* (* (sqrt (+ re im)) (sqrt (- re im))) re))))))))))>
* [enter]simplify:  Simplifying (cube (cbrt (- (pow (* (sqrt (+ re im)) (sqrt (- re im))) 3) (pow re 3))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (- (* (* (sqrt (+ re im)) (sqrt (- re im))) (* (- re im) (+ re im))) (cube re))
* [exit]simplify:  Simplified to (- (* (* (sqrt (+ re im)) (sqrt (- re im))) (* (- re im) (+ re im))) (cube re))
* [enter]simplify:  Simplifying (cube (cbrt (+ (sqr (* (sqrt (+ re im)) (sqrt (- re im)))) (- (sqr re) (* (* (sqrt (+ re im)) (sqrt (- re im))) re)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (- (+ (sqr re) (* (+ re im) (- re im))) (* re (* (sqrt (+ re im)) (sqrt (- re im)))))
* [exit]simplify:  Simplified to (- (+ (sqr re) (* (+ re im) (- re im))) (* re (* (sqrt (+ re im)) (sqrt (- re im)))))
* * * * [misc]progress:  [ 22 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (cube (cbrt (- (sqr (* (sqrt (+ re im)) (sqrt (- re im)))) (sqr re)))) (cube (cbrt (- (* (sqrt (+ re im)) (sqrt (- re im))) re))))))))>
* [enter]simplify:  Simplifying (cube (cbrt (- (sqr (* (sqrt (+ re im)) (sqrt (- re im)))) (sqr re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (- (* (- re im) (+ re im)) (sqr re))
* [exit]simplify:  Simplified to (- (* (- re im) (+ re im)) (sqr re))
* [enter]simplify:  Simplifying (cube (cbrt (- (* (sqrt (+ re im)) (sqrt (- re im))) re)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (- (* (sqrt (+ re im)) (sqrt (- re im))) re)
* [exit]simplify:  Simplified to (- (* (sqrt (+ re im)) (sqrt (- re im))) re)
* * * * [misc]progress:  [ 23 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (* (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)) (* (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)) (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))))))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)) (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)) (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))
* [exit]simplify:  Simplified to (* (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)) (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))
* * * * [misc]progress:  [ 24 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (sqr (sqrt (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re)))))))))>
* [enter]simplify:  Simplifying (sqrt (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* [exit]simplify:  Simplified to (sqrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * * * [misc]progress:  [ 25 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))))))))>
* * * * [misc]progress:  [ 26 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (pow (* (+ re im) (- re im)) 1/2) re)))))))>
* [enter]simplify:  Simplifying (* (+ re im) (- re im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* (+ re im) (- re im))
* [exit]simplify:  Simplified to (* (+ re im) (- re im))
* * * * [misc]progress:  [ 27 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (pow (* (sqrt (+ re im)) (sqrt (- re im))) 1) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) (sqrt (- re im)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- re im)))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- re im)))
* * * * [misc]progress:  [ 28 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (pow (* (sqrt (+ re im)) (sqrt (- re im))) 1) re)))))))>
* * * * [misc]progress:  [ 29 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (exp (+ (log (sqrt (+ re im))) (log (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (+ re im))) (log (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (- re im))) (log (sqrt (+ re im))))
* [exit]simplify:  Simplified to (+ (log (sqrt (- re im))) (log (sqrt (+ re im))))
* * * * [misc]progress:  [ 30 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (exp (log (* (sqrt (+ re im)) (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (log (* (sqrt (+ re im)) (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (log (* (sqrt (+ re im)) (sqrt (- re im))))
* [exit]simplify:  Simplified to (log (* (sqrt (+ re im)) (sqrt (- re im))))
* * * * [misc]progress:  [ 31 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (log (exp (* (sqrt (+ re im)) (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (+ re im)) (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (exp (* (sqrt (+ re im)) (sqrt (- re im))))
* [exit]simplify:  Simplified to (exp (* (sqrt (+ re im)) (sqrt (- re im))))
* * * * [misc]progress:  [ 32 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (cbrt (* (cube (sqrt (+ re im))) (cube (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (* (cube (sqrt (+ re im))) (cube (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (* (sqrt (- re im)) (* (- re im) (+ re im))))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (* (sqrt (- re im)) (* (- re im) (+ re im))))
* * * * [misc]progress:  [ 33 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (cube (cbrt (* (sqrt (+ re im)) (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (cbrt (* (sqrt (+ re im)) (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sqrt (+ re im)) (sqrt (- re im))))
* [exit]simplify:  Simplified to (cbrt (* (sqrt (+ re im)) (sqrt (- re im))))
* * * * [misc]progress:  [ 34 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (cbrt (cube (* (sqrt (+ re im)) (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (cube (* (sqrt (+ re im)) (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ re im) (- re im)) (sqrt (+ re im))) (sqrt (- re im)))
* [exit]simplify:  Simplified to (* (* (* (+ re im) (- re im)) (sqrt (+ re im))) (sqrt (- re im)))
* * * * [misc]progress:  [ 35 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (cube (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (+ re im))) (cbrt (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (- re im))) (cbrt (sqrt (+ re im))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (- re im))) (cbrt (sqrt (+ re im))))
* * * * [misc]progress:  [ 36 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (sqrt (* (+ re im) (- re im))) re)))))))>
* [enter]simplify:  Simplifying (* (+ re im) (- re im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* (+ re im) (- re im))
* [exit]simplify:  Simplified to (* (+ re im) (- re im))
* * * * [misc]progress:  [ 37 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (sqr (sqrt (* (sqrt (+ re im)) (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (+ re im)) (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (+ re im)) (sqrt (- re im))))
* [exit]simplify:  Simplified to (sqrt (* (sqrt (+ re im)) (sqrt (- re im))))
* * * * [misc]progress:  [ 38 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (sqr (* (sqrt (sqrt (+ re im))) (sqrt (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ re im))) (sqrt (sqrt (- re im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (- re im))) (sqrt (sqrt (+ re im))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (- re im))) (sqrt (sqrt (+ re im))))
* * * * [misc]progress:  [ 39 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (/ (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- (pow re 3) (pow im 3)))) (* (sqrt (+ (sqr re) (- (sqr im) (* re im)))) (sqrt (+ (sqr re) (+ (sqr im) (* re im)))))) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- (pow re 3) (pow im 3))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (- (cube re) (cube im))
* [exit]simplify:  Simplified to (- (cube re) (cube im))
* [enter]simplify:  Simplifying (* (sqrt (+ (sqr re) (- (sqr im) (* re im)))) (sqrt (+ (sqr re) (+ (sqr im) (* re im)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr re) (* im (- im re)))) (sqrt (+ (* im (+ re im)) (sqr re))))
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr re) (* im (- im re)))) (sqrt (+ (* im (+ re im)) (sqr re))))
* * * * [misc]progress:  [ 40 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (/ (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- (sqr re) (sqr im)))) (* (sqrt (+ (sqr re) (- (sqr im) (* re im)))) (sqrt (+ re im)))) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- (sqr re) (sqr im))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (cube re) (cube im))) (sqrt (- (sqr re) (* im im))))
* [exit]simplify:  Simplified to (* (sqrt (- (cube re) (cube im))) (sqrt (- (sqr re) (* im im))))
* [enter]simplify:  Simplifying (* (sqrt (+ (sqr re) (- (sqr im) (* re im)))) (sqrt (+ re im)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr re) (* im (- im re)))) (sqrt (+ re im)))
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr re) (* im (- im re)))) (sqrt (+ re im)))
* * * * [misc]progress:  [ 41 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (/ (* (sqrt (- (sqr re) (sqr im))) (sqrt (- (pow re 3) (pow im 3)))) (* (sqrt (- re im)) (sqrt (+ (sqr re) (+ (sqr im) (* re im)))))) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (- (sqr re) (sqr im))) (sqrt (- (pow re 3) (pow im 3))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (cube re) (cube im))) (sqrt (- (sqr re) (* im im))))
* [exit]simplify:  Simplified to (* (sqrt (- (cube re) (cube im))) (sqrt (- (sqr re) (* im im))))
* [enter]simplify:  Simplifying (* (sqrt (- re im)) (sqrt (+ (sqr re) (+ (sqr im) (* re im)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* im im) (* re (+ re im)))) (sqrt (- re im)))
* [exit]simplify:  Simplified to (* (sqrt (+ (* im im) (* re (+ re im)))) (sqrt (- re im)))
* * * * [misc]progress:  [ 42 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (/ (* (sqrt (- (sqr re) (sqr im))) (sqrt (- (sqr re) (sqr im)))) (* (sqrt (- re im)) (sqrt (+ re im)))) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (- (sqr re) (sqr im))) (sqrt (- (sqr re) (sqr im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (* (- re im) (+ re im))
* [exit]simplify:  Simplified to (* (- re im) (+ re im))
* [enter]simplify:  Simplifying (* (sqrt (- re im)) (sqrt (+ re im)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (sqrt (+ re im)))
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (sqrt (+ re im)))
* * * * [misc]progress:  [ 43 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* 1 (* (sqrt (+ re im)) (sqrt (- re im)))) re)))))))>
* * * * [misc]progress:  [ 44 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (* (sqrt (+ re im)) (sqrt 1)) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt 1))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt 1))
* * * * [misc]progress:  [ 45 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (* (sqrt (+ re im)) 1) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) 1)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re im))
* [exit]simplify:  Simplified to (sqrt (+ re im))
* * * * [misc]progress:  [ 46 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt 1) (* (sqrt (+ re im)) (sqrt (- re im)))) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) (sqrt (- re im)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- re im)))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- re im)))
* * * * [misc]progress:  [ 47 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* 1 (* (sqrt (+ re im)) (sqrt (- re im)))) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) (sqrt (- re im)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- re im)))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- re im)))
* * * * [misc]progress:  [ 48 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (/ (* (sqrt (+ re im)) (sqrt (- (pow re 3) (pow im 3)))) (sqrt (+ (sqr re) (+ (sqr im) (* re im))))) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) (sqrt (- (pow re 3) (pow im 3))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- (cube re) (cube im))))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (- (cube re) (cube im))))
* * * * [misc]progress:  [ 49 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (/ (* (sqrt (+ re im)) (sqrt (- (sqr re) (sqr im)))) (sqrt (+ re im))) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (+ re im)) (sqrt (- (sqr re) (sqr im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (* (- re im) (+ re im))))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (sqrt (* (- re im) (+ re im))))
* * * * [misc]progress:  [ 50 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (/ (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- re im))) (sqrt (+ (sqr re) (- (sqr im) (* re im))))) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (- (pow re 3) (pow im 3))) (sqrt (- re im)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (sqrt (- (cube re) (cube im))))
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (sqrt (- (cube re) (cube im))))
* * * * [misc]progress:  [ 51 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (/ (* (sqrt (- (sqr re) (sqr im))) (sqrt (- re im))) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (* (sqrt (- (sqr re) (sqr im))) (sqrt (- re im)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (sqrt (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (sqrt (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 52 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (- re im)) (sqrt (+ re im))) re)))))))>
* * * * [misc]progress:  [ 53 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (pow (+ re im) 1/2) (sqrt (- re im))) re)))))))>
* * * * [misc]progress:  [ 54 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (pow (sqrt (+ re im)) 1) (sqrt (- re im))) re)))))))>
* * * * [misc]progress:  [ 55 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (exp (log (sqrt (+ re im)))) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (log (sqrt (+ re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ re im)))
* [exit]simplify:  Simplified to (log (sqrt (+ re im)))
* * * * [misc]progress:  [ 56 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (log (exp (sqrt (+ re im)))) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (+ re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (+ re im)))
* [exit]simplify:  Simplified to (exp (sqrt (+ re im)))
* * * * [misc]progress:  [ 57 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (cube (cbrt (sqrt (+ re im)))) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ re im)))
* [exit]simplify:  Simplified to (cbrt (sqrt (+ re im)))
* * * * [misc]progress:  [ 58 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (cbrt (cube (sqrt (+ re im)))) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (cube (sqrt (+ re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (+ re im))
* [exit]simplify:  Simplified to (* (sqrt (+ re im)) (+ re im))
* * * * [misc]progress:  [ 59 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (* (sqrt 1) (sqrt (+ re im))) (sqrt (- re 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 im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re im))
* [exit]simplify:  Simplified to (sqrt (+ re im))
* * * * [misc]progress:  [ 60 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (/ (sqrt (- (pow re 3) (pow im 3))) (sqrt (+ (sqr re) (- (sqr im) (* re im))))) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (- (pow re 3) (pow im 3)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (- (cube re) (cube im)))
* [exit]simplify:  Simplified to (sqrt (- (cube re) (cube im)))
* [enter]simplify:  Simplifying (sqrt (+ (sqr re) (- (sqr im) (* re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* (- im re) im)))
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* (- im re) im)))
* * * * [misc]progress:  [ 61 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (/ (sqrt (- (sqr re) (sqr im))) (sqrt (- re im))) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr re) (sqr im)))
* * [misc]simplify:  iters left: 4 (6 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)))
* [enter]simplify:  Simplifying (sqrt (- re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (- re im))
* [exit]simplify:  Simplified to (sqrt (- re im))
* * * * [misc]progress:  [ 62 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqr (sqrt (sqrt (+ re im)))) (sqrt (- re im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ re im)))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ re im)))
* * * * [misc]progress:  [ 63 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (fabs (sqrt (+ re im))) (sqrt (- re im))) re)))))))>
* * * * [misc]progress:  [ 64 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (* 1 (sqrt (+ re im))) (sqrt (- re im))) re)))))))>
* * * * [misc]progress:  [ 65 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (pow (- re im) 1/2)) re)))))))>
* * * * [misc]progress:  [ 66 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (pow (sqrt (- re im)) 1)) re)))))))>
* * * * [misc]progress:  [ 67 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (exp (log (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (log (sqrt (- re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (log (sqrt (- re im)))
* [exit]simplify:  Simplified to (log (sqrt (- re im)))
* * * * [misc]progress:  [ 68 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (log (exp (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (- re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (- re im)))
* [exit]simplify:  Simplified to (exp (sqrt (- re im)))
* * * * [misc]progress:  [ 69 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (cube (cbrt (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (- re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (- re im)))
* [exit]simplify:  Simplified to (cbrt (sqrt (- re im)))
* * * * [misc]progress:  [ 70 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (cbrt (cube (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (cube (sqrt (- re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (- re im))
* [exit]simplify:  Simplified to (* (sqrt (- re im)) (- re im))
* * * * [misc]progress:  [ 71 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (* (sqrt 1) (sqrt (- re 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 im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (- re im))
* [exit]simplify:  Simplified to (sqrt (- re im))
* * * * [misc]progress:  [ 72 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (/ (sqrt (- (pow re 3) (pow im 3))) (sqrt (+ (sqr re) (+ (sqr im) (* re im)))))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (- (pow re 3) (pow im 3)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (- (cube re) (cube im)))
* [exit]simplify:  Simplified to (sqrt (- (cube re) (cube im)))
* [enter]simplify:  Simplifying (sqrt (+ (sqr re) (+ (sqr im) (* re im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* (+ re im) im)))
* [exit]simplify:  Simplified to (sqrt (+ (sqr re) (* (+ re im) im)))
* * * * [misc]progress:  [ 73 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (/ (sqrt (- (sqr re) (sqr im))) (sqrt (+ re im)))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr re) (sqr im)))
* * [misc]simplify:  iters left: 4 (6 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)))
* [enter]simplify:  Simplifying (sqrt (+ re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re im))
* [exit]simplify:  Simplified to (sqrt (+ re im))
* * * * [misc]progress:  [ 74 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (sqr (sqrt (sqrt (- re im))))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- re im)))
* [exit]simplify:  Simplified to (sqrt (sqrt (- re im)))
* * * * [misc]progress:  [ 75 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (fabs (sqrt (- re im)))) re)))))))>
* * * * [misc]progress:  [ 76 / 76 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (* 1 (sqrt (- re im)))) re)))))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  Final touches.
* * * [misc]progress:  tayloring alt 1 of 3
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) into (+ (sqrt (* (- re im) (+ im re))) re)
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) into (+ (sqrt (* (- re im) (+ im re))) re)
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))) into (+ (sqrt (* (- re im) (+ im re))) re)
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (* (- re im) (+ im re))) re) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (* (- re im) (+ im re))) in im
* [misc]taylor:  Taking taylor expansion of (* (- re im) (+ im re)) in im
* [misc]taylor:  Taking taylor expansion of (- re im) 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 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ im re) in im
* [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 re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ re 0) into re
* [misc]backup-simplify:  Simplify (+ 0 re) into re
* [misc]backup-simplify:  Simplify (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* re 1) (* -1 re)) 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 re) into (* 2 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 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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* -1 1) (* 0 re))) 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))) into (- (* 1/2 (/ 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 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* -1 0) (+ (* 0 1) (* 0 re)))) 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 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 (+ (* (- (* 1/2 (/ 1 re))) (sqr (* im 1))) (* 2 re)) into (- (* 2 re) (* 1/2 (/ (sqr im) re)))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) into (+ (/ 1 re) (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) into (+ (/ 1 re) (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)))) into (+ (/ 1 re) (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (sqrt (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))))) 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 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 re) (/ 1 im)) (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 re) 0) into (/ 1 re)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 re) 0) into (/ 1 re)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 re)) (* (/ 1 re) 1)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 re) 0) into (/ 1 re)
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 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 (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) 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 (- (+ (* (/ 1 re) (/ 0 re)))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (/ 1 re) (/ 1 re)) (* 0 1))) into (/ 1 (sqr re))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr re)) (sqr 0) (+)) (* 2 (sqrt -1))) into (/ 1/2 (* (sqrt -1) (sqr re)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/2 (* (sqrt -1) (sqr re)))) into (* 1/2 (/ 1 (* (sqrt -1) (sqr re))))
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (* (sqrt -1) (sqr re)))) into (/ 1/2 (* (sqrt -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]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) 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 (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) 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 (+ (* -1 0) (+ (* (/ 1 re) 0) (+ (* 0 (/ 1 re)) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt -1) (sqr re))))))) (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 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]backup-simplify:  Simplify (+ (* (/ 1/2 (* (sqrt -1) (sqr re))) (* (/ 1 im) 1)) (/ 1 re)) into (+ (* 1/2 (/ 1 (* im (* (sqrt -1) (sqr re))))) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) into (- (* (sqrt (- (/ 1 im) (/ 1 re))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) into (- (* (sqrt (- (/ 1 im) (/ 1 re))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) into (- (* (sqrt (- (/ 1 im) (/ 1 re))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (- (/ 1 im) (/ 1 re))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (- (/ 1 im) (/ 1 re))) (sqrt (- (+ (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 im) (/ 1 re)) 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 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 (- (+ (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 re) 0) into (/ 1 re)
* [misc]backup-simplify:  Simplify (- (/ 1 re)) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 re)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 re)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (/ (- (- (/ 1 re)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 re)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (/ 1 re)))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ +nan.0 (/ 1 re))) 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (/ 1 re)) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (- (/ 1 re))) into (- (+ (/ 1 re) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (/ 1 re) (- +nan.0))) into (- (+ +nan.0 (/ 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 (- (+ (* (/ 1 re) (/ 0 re)))) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 re))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 re))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 re)))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 re))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))) 0) into (- (+ +nan.0 (- (* +nan.0 (/ 1 re)))))
* [misc]backup-simplify:  Simplify (- (+ +nan.0 (- (* +nan.0 (/ 1 re))))) into (- (+ +nan.0 (- (* +nan.0 (/ 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 (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) 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) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (+ +nan.0 (/ 1 re)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 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 (sqr (* +nan.0 (+ +nan.0 (/ 1 re)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 re))) (* +nan.0 (+ +nan.0 (/ 1 re)))) (+ (* (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re)))))))) 0))))) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re)))))))) 0) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ 1 (sqr re))))))))
* [misc]backup-simplify:  Simplify (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ 1 (sqr re)))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ 1 (sqr re))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ 1 (sqr re)))))))) (sqr (* (/ 1 (- im)) 1))) (+ (* (- (+ +nan.0 (- (* +nan.0 (/ 1 re))))) (* (/ 1 (- im)) 1)) (- (+ +nan.0 (/ 1 re))))) into (- (+ (* +nan.0 (/ 1 (* (sqr im) re))) (- (/ 1 re) (+ (* +nan.0 (/ 1 (sqr im))) (- (+ (* +nan.0 (/ 1 (* im re))) (- (+ (* +nan.0 (/ 1 im)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (* (sqr im) (sqr re)))))))))))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in im
* [misc]taylor:  Taking taylor expansion of (+ re im) 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 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in im
* [misc]taylor:  Taking taylor expansion of (- re im) 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 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 (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt re))) into (* -1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]backup-simplify:  Simplify (* (sqrt im) (sqrt (- im))) into (* (sqrt im) (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt im) (sqrt (- im))) in 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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (/ 1/2 (sqrt (- im)))) (* (* 1/2 (sqrt (/ 1 im))) (sqrt (- im)))) into (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- 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)) (sqrt (- im))) in im
* [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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt im) (/ 1 (sqrt (- 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 im) (/ 1 (sqrt (- im)))) in 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]taylor:  Taking taylor expansion of (/ 1 (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 +nan.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (* 0 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) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqrt (- im)))) (+)) (* 2 (sqrt (- im)))) into (/ -1/8 (pow (sqrt (- im)) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* 1/2 (sqrt (/ 1 im)))) (+)) (* 2 (sqrt im))) into (* -1/8 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (/ -1/8 (pow (sqrt (- im)) 3))) (+ (* (* 1/2 (sqrt (/ 1 im))) (/ 1/2 (sqrt (- im)))) (* (* -1/8 (sqrt (/ 1 (pow im 3)))) (sqrt (- im))))) into (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im)))) in im
* [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]taylor:  Taking taylor expansion of (/ 1 (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- 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 im) (/ 1 (pow (sqrt (- im)) 3))) in 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]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt (- im)) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt (- im)) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log +nan.0)) into (+ (log im) (log +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (+ (log im) (log +nan.0))) into (* 3 (+ (log im) (log +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log im) (log +nan.0)))) into (exp (* 3 (+ (log im) (log +nan.0))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))) 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))) (sqrt (- im))) in im
* [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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.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 (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 +nan.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))) into 0
* [misc]backup-simplify:  Simplify (* 1/8 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 (- +nan.0)) (+ (* 0 0) (* 0 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 (+ (- +nan.0) (- +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 (sqr +nan.0) (+)) (* 2 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.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) (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* im re)) (+ (* (- +nan.0) (sqr (* 1 re))) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 (+ 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) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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) into -1
* [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) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 0) 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 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (/ 1 im) +nan.0)) 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 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 im) (/ 0 im)) (* 0 (/ 0 im)))) 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 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) 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 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 im)) (/ 1 re))) (* (- +nan.0) (sqr (* (/ 1 (/ 1 im)) (/ 1 re)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 (+ 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)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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) into 1
* [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)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 0) 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 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.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 (/ -1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ +nan.0 (/ 1 im))) 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) 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 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))) (* (- +nan.0) (sqr (* (/ 1 (/ 1 (- im))) (/ 1 (- re))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ re im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in im
* [misc]taylor:  Taking taylor expansion of (+ re im) 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 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (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 re))) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 (+ 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) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 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 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 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 im) +nan.0) 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 +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 im)) (sqr (/ 1 re)))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 im)) (/ 1 re))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 (+ 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)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 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 (/ -1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 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 (+ +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- im))) (sqr (/ 1 (- re))))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- re im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in im
* [misc]taylor:  Taking taylor expansion of (- re im) 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 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 (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt re))) into (* -1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [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 (- 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 (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1/2 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqrt (- im)))) (+)) (* 2 (sqrt (- im)))) into (/ -1/8 (pow (sqrt (- im)) 3))
* [misc]taylor:  Taking taylor expansion of (/ -1/8 (pow (sqrt (- 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 (pow (sqrt (- im)) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log +nan.0)) into (+ (log im) (log +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (+ (log im) (log +nan.0))) into (* 3 (+ (log im) (log +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log im) (log +nan.0)))) into (exp (* 3 (+ (log im) (log +nan.0))))
* [misc]backup-simplify:  Simplify (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]backup-simplify:  Simplify (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0))))) (sqr (* 1 re))) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 im) (- (* 1/8 (/ (sqr re) (exp (* 3 (+ (log im) (log +nan.0)))))) (* +nan.0 re))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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) into -1
* [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) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 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 (- (/ 1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 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 (+ +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 im)) (sqr (/ 1 re)))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 im)) (/ 1 re))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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) into 1
* [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)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 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 (- (/ -1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 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 im) +nan.0) 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 +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- im))) (sqr (/ 1 (- re))))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* * * [misc]progress:  tayloring alt 2 of 3
* [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 (- 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) 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 (+ (sqrt (- (sqr im))) 0) into (sqrt (- (sqr im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -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 (sqrt -1) into (sqrt -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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (sqr im))))) into (/ 1/2 (sqrt (- (sqr im))))
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqrt (- (sqr im)))) 0) into (* 1/2 (/ 1 (sqrt (- (sqr im)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqrt (- (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 (sqrt (- (sqr im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt -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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (sqr im)))))))) (* 2 (sqrt (- (sqr 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt -1) (* im 1)) (* 1 (* 1 re))) into (+ (* im (sqrt -1)) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (- (/ 1 (sqr 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 (/ 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 (/ 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) 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 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (- (/ 1 (sqr 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 (/ 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 (- 0) into 0
* [misc]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) 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]backup-simplify:  Simplify 0 into 0
* [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 (- 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) 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -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 (sqrt -1) into (sqrt -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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (sqr im))))) into (/ 1/2 (sqrt (- (sqr im))))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt (- (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 (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (sqr im)))))))) (* 2 (sqrt (- (sqr 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt -1) (* im 1)) into (* im (sqrt -1))
* [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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (- (/ 1 (sqr 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) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (- (/ 1 (sqr 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) 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 (+ (sqrt (- (* re re) (* im im))) re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (- (* re re) (* im im))) re)) in im
* [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 (- 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) 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]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (- (* re re) (* im im))) re)) in 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 (+ (sqrt (- (sqr im))) 0) into (sqrt (- (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt (sqrt (- (sqr im)))) into (sqrt (sqrt (- (sqr im))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (sqrt (- (sqr im)))))) into (* 1/2 (sqrt (/ 1 (sqrt (- (sqr im))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (- (* re re) (* im im))) re)) in 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 (+ (sqrt (- (sqr im))) 0) into (sqrt (- (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt (sqrt (- (sqr im)))) into (sqrt (sqrt (- (sqr im))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (sqrt (- (sqr im)))))) into (* 1/2 (sqrt (/ 1 (sqrt (- (sqr im))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (- (sqr im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt -1) (* 2 (sqrt 0))) into (* +nan.0 (sqrt -1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ 1 (sqrt (- (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 (sqrt (/ 1 (sqrt (- (sqr im))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (- (sqr im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt -1)) (* 2 (sqrt 0))) into (/ +nan.0 (sqrt -1))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ +nan.0 (sqrt -1))) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt -1))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (sqrt -1)))) into (- (* +nan.0 (/ 1 (sqrt -1))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt -1)) into (* +nan.0 (sqrt -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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (sqr im))))) into (/ 1/2 (sqrt (- (sqr im))))
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqrt (- (sqr im)))) 0) into (* 1/2 (/ 1 (sqrt (- (sqr im)))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 (sqrt (- (sqr im))))) (sqr (* 1/2 (sqrt (/ 1 (sqrt (- (sqr im))))))) (+)) (* 2 (sqrt (sqrt (- (sqr im)))))) into (* 1/8 (sqrt (/ 1 (pow (sqrt (- (sqr im))) 3))))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow (sqrt (- (sqr 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 (sqrt (- (sqr im))) 3))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt (- (sqr im))) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt (- (sqr im))) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt (- (sqr im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt (- (sqr im))))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt (- (sqr im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt -1)) into (log (sqrt -1))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log (sqrt -1))) into (+ (log im) (log (sqrt -1)))
* [misc]backup-simplify:  Simplify (* 3 (+ (log im) (log (sqrt -1)))) into (* 3 (+ (log im) (log (sqrt -1))))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log im) (log (sqrt -1))))) into (exp (* 3 (+ (log im) (log (sqrt -1)))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 3 (+ (log im) (log (sqrt -1)))))) into (/ 1 (exp (* 3 (+ (log im) (log (sqrt -1))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (exp (* 3 (+ (log im) (log (sqrt -1))))))) into (sqrt (/ 1 (exp (* 3 (+ (log im) (log (sqrt -1)))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log (sqrt -1))) into (+ (log im) (log (sqrt -1)))
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (+ (log im) (log (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log im) (log (sqrt -1))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (exp (* 3 (+ (log im) (log (sqrt -1)))))) (/ 0 (exp (* 3 (+ (log im) (log (sqrt -1))))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (exp (* 3 (+ (log im) (log (sqrt -1))))))))) into 0
* [misc]backup-simplify:  Simplify (* 1/8 (sqrt (/ 1 (exp (* 3 (+ (log im) (log (sqrt -1)))))))) into (* 1/8 (sqrt (/ 1 (exp (* 3 (+ (log im) (log (sqrt -1))))))))
* [misc]backup-simplify:  Simplify (* 1/8 (sqrt (/ 1 (exp (* 3 (+ (log im) (log (sqrt -1)))))))) into (* 1/8 (sqrt (/ 1 (exp (* 3 (+ (log im) (log (sqrt -1))))))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/8 (sqrt (/ 1 (exp (* 3 (+ (log im) (log (sqrt -1)))))))) (sqr (* 1 re))) (+ (* (* +nan.0 (sqrt -1)) (* im 1)) (* (- (* +nan.0 (/ 1 (sqrt -1)))) (* 1 re)))) into (- (* 1/8 (* (sqr re) (sqrt (/ 1 (exp (* 3 (+ (log im) (log (sqrt -1))))))))) (+ (* +nan.0 (* im (sqrt -1))) (- (* +nan.0 (/ re (sqrt -1))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (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)))) (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (+ (sqrt -1) 0) into (sqrt -1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt -1) (* 2 (sqrt 0))) into (* +nan.0 (sqrt -1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (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)))) (/ 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (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)))) (/ 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 (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 (- (+ (* 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 (- (/ 1 (sqr 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 (/ (- (- (* 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]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 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) 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 (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* 1/2 (/ 1 (sqr im))) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (* 1 (/ 1 re)))) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (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))))) (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (+ (sqrt -1) 0) into (sqrt -1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt -1) (* 2 (sqrt 0))) into (* +nan.0 (sqrt -1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (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))))) (/ 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 (- 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 (- 0) into 0
* [misc]backup-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 (- (/ 1 (sqr 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 (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 (- 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))))) (/ 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 (- 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 (- 0) into 0
* [misc]backup-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 (- (/ 1 (sqr 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 (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 (- 0) into 0
* [misc]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) 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 (/ (- 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) 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 (/ (- (- (* 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 (sqr (sqrt (+ (sqrt (- (* re re) (* im im))) re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (+ (sqrt (- (* re re) (* im im))) re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (- (* re re) (* im im))) re)) in im
* [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 (- 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) 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]taylor:  Taking taylor expansion of (sqr (sqrt (+ (sqrt (- (* re re) (* im im))) re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (- (* re re) (* im im))) re)) in 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 (+ (sqrt (- (sqr im))) 0) into (sqrt (- (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt (sqrt (- (sqr im)))) into (sqrt (sqrt (- (sqr im))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (sqrt (- (sqr im)))))) into (* 1/2 (sqrt (/ 1 (sqrt (- (sqr im))))))
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (+ (sqrt (- (* re re) (* im im))) re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (- (* re re) (* im im))) re)) in 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 (- (sqr im)) into (- (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr im))) into (- (sqr im))
* [misc]backup-simplify:  Simplify (sqrt (- (sqr im))) into (sqrt (- (sqr 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) 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 (+ (sqrt (- (sqr im))) 0) into (sqrt (- (sqr im)))
* [misc]backup-simplify:  Simplify (sqrt (sqrt (- (sqr im)))) into (sqrt (sqrt (- (sqr im))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (sqrt (- (sqr im)))))) into (* 1/2 (sqrt (/ 1 (sqrt (- (sqr im))))))
* [misc]backup-simplify:  Simplify (* (sqrt (sqrt (- (sqr im)))) (sqrt (sqrt (- (sqr im))))) into (sqrt (- (sqr im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (sqrt (- (sqr im)))) (* 1/2 (sqrt (/ 1 (sqrt (- (sqr im))))))) (* (* 1/2 (sqrt (/ 1 (sqrt (- (sqr im)))))) (sqrt (sqrt (- (sqr im)))))) 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 (sqrt -1) into (sqrt -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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (sqr im))))) into (/ 1/2 (sqrt (- (sqr im))))
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqrt (- (sqr im)))) 0) into (* 1/2 (/ 1 (sqrt (- (sqr im)))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 (sqrt (- (sqr im))))) (sqr (* 1/2 (sqrt (/ 1 (sqrt (- (sqr im))))))) (+)) (* 2 (sqrt (sqrt (- (sqr im)))))) into (* 1/8 (sqrt (/ 1 (pow (sqrt (- (sqr im))) 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (sqrt (- (sqr im)))) (* 1/8 (sqrt (/ 1 (pow (sqrt (- (sqr im))) 3))))) (+ (* (* 1/2 (sqrt (/ 1 (sqrt (- (sqr im)))))) (* 1/2 (sqrt (/ 1 (sqrt (- (sqr im))))))) (* (* 1/8 (sqrt (/ 1 (pow (sqrt (- (sqr im))) 3)))) (sqrt (sqrt (- (sqr im))))))) into (* 1/2 (/ 1 (sqrt (- (sqr im)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (sqrt (- (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 (sqrt (- (sqr im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (- (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) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt -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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (sqr im)))))))) (* 2 (sqrt (- (sqr im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (sqrt (/ 1 (sqrt (- (sqr im)))))) (* 1/8 (sqrt (/ 1 (pow (sqrt (- (sqr im))) 3)))))))) (* 2 (sqrt (sqrt (- (sqr im)))))) into (* -1/16 (sqrt (/ 1 (pow (sqrt (- (sqr im))) 5))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (sqrt (- (sqr im)))) (* -1/16 (sqrt (/ 1 (pow (sqrt (- (sqr im))) 5))))) (+ (* (* 1/2 (sqrt (/ 1 (sqrt (- (sqr im)))))) (* 1/8 (sqrt (/ 1 (pow (sqrt (- (sqr im))) 3))))) (+ (* (* 1/8 (sqrt (/ 1 (pow (sqrt (- (sqr im))) 3)))) (* 1/2 (sqrt (/ 1 (sqrt (- (sqr im))))))) (* (* -1/16 (sqrt (/ 1 (pow (sqrt (- (sqr im))) 5)))) (sqrt (sqrt (- (sqr 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt -1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt -1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt -1) (* im 1)) (* 1 (* 1 re))) into (+ (* im (sqrt -1)) re)
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (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)))) (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (+ (sqrt -1) 0) into (sqrt -1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt -1) (* 2 (sqrt 0))) into (* +nan.0 (sqrt -1))
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (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)))) (/ 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (+ (sqrt (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (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)))) (/ 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 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 (- (/ 1 (sqr 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 (/ (- (- (* 1/2 (/ 1 (sqr im)))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (+ (* 1/2 (/ 1 (sqr im))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* 1/2 (/ 1 (sqr im))) (- +nan.0)))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (* 1/2 (/ 1 (sqr im))) (- +nan.0))) 0)))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 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) 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 (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* 1/2 (/ 1 (sqr im))) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (+ (* 1/2 (/ 1 (sqr im))) (- +nan.0)))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (+ (* 1/2 (/ 1 (sqr im))) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 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) 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 (+ (/ -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 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (+ (* 1/2 (/ 1 (sqr im))) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (+ (* 1/2 (/ 1 (sqr im))) (- +nan.0)))) (+ (* (* +nan.0 (+ (* 1/2 (/ 1 (sqr im))) (- +nan.0))) +nan.0) (+ (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) 0)))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (/ 1 (sqr (/ 1 im))) (pow (/ 1 re) 3))) (+ (- +nan.0) (* (- +nan.0) (sqr (* (/ 1 (/ 1 im)) (/ 1 re)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (pow re 3))) (- (* +nan.0 (/ (sqr im) (sqr re))))))))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (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))))) (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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) 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 (+ (sqrt -1) 0) into (sqrt -1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt -1) (* 2 (sqrt 0))) into (* +nan.0 (sqrt -1))
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (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))))) (/ 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 (- 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 (- 0) into 0
* [misc]backup-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 (- (/ 1 (sqr 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 (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 (sqr (sqrt (+ (sqrt (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (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))))) (/ 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 (- 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 (- 0) into 0
* [misc]backup-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 (- (/ 1 (sqr 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 (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 (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqr im))) (* (/ +nan.0 (sqr im)) 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) into 0
* [misc]backup-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) 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 (/ (- 0 (sqr (/ +nan.0 (sqr im))) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* (/ +nan.0 (sqr im)) (/ +nan.0 (sqr im))) (* (/ +nan.0 (pow im 4)) 0))) into (- (* +nan.0 (/ 1 (pow im 4))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 4)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 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 (/ 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 (+ (* +nan.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 (- 0) into 0
* [misc]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) 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 (/ (- (- (* 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 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* (/ +nan.0 (sqr im)) (/ +nan.0 (pow im 4))) (+ (* (/ +nan.0 (pow im 4)) (/ +nan.0 (sqr im))) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 0)))) into (- (* +nan.0 (/ 1 (pow im 6))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) 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]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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  tayloring alt 3 of 3
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in im
* [misc]taylor:  Taking taylor expansion of (+ re im) 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 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in im
* [misc]taylor:  Taking taylor expansion of (- re im) 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 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 (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt re))) into (* -1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]backup-simplify:  Simplify (* (sqrt im) (sqrt (- im))) into (* (sqrt im) (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt im) (sqrt (- im))) in 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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (/ 1/2 (sqrt (- im)))) (* (* 1/2 (sqrt (/ 1 im))) (sqrt (- im)))) into (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- 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)) (sqrt (- im))) in im
* [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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt im) (/ 1 (sqrt (- 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 im) (/ 1 (sqrt (- im)))) in 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]taylor:  Taking taylor expansion of (/ 1 (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 +nan.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (* 0 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) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqrt (- im)))) (+)) (* 2 (sqrt (- im)))) into (/ -1/8 (pow (sqrt (- im)) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* 1/2 (sqrt (/ 1 im)))) (+)) (* 2 (sqrt im))) into (* -1/8 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (/ -1/8 (pow (sqrt (- im)) 3))) (+ (* (* 1/2 (sqrt (/ 1 im))) (/ 1/2 (sqrt (- im)))) (* (* -1/8 (sqrt (/ 1 (pow im 3)))) (sqrt (- im))))) into (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im)))) in im
* [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]taylor:  Taking taylor expansion of (/ 1 (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- 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 im) (/ 1 (pow (sqrt (- im)) 3))) in 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]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt (- im)) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt (- im)) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log +nan.0)) into (+ (log im) (log +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (+ (log im) (log +nan.0))) into (* 3 (+ (log im) (log +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log im) (log +nan.0)))) into (exp (* 3 (+ (log im) (log +nan.0))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))) 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))) (sqrt (- im))) in im
* [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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.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 (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 +nan.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))) into 0
* [misc]backup-simplify:  Simplify (* 1/8 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 (- +nan.0)) (+ (* 0 0) (* 0 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 (+ (- +nan.0) (- +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 (sqr +nan.0) (+)) (* 2 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.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) (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* im re)) (+ (* (- +nan.0) (sqr (* 1 re))) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 (+ 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) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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) into -1
* [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) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 0) 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 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (/ 1 im) +nan.0)) 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 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 im) (/ 0 im)) (* 0 (/ 0 im)))) 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 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) 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 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 im)) (/ 1 re))) (* (- +nan.0) (sqr (* (/ 1 (/ 1 im)) (/ 1 re)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 (+ 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)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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) into 1
* [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)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 0) 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 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.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 (/ -1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ +nan.0 (/ 1 im))) 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) 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 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))) (* (- +nan.0) (sqr (* (/ 1 (/ 1 (- im))) (/ 1 (- re))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ re im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in im
* [misc]taylor:  Taking taylor expansion of (+ re im) 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 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (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 re))) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 (+ 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) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 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 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 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 im) +nan.0) 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 +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 im)) (sqr (/ 1 re)))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 im)) (/ 1 re))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 (+ 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)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 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 (/ -1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 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 (+ +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- im))) (sqr (/ 1 (- re))))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- re im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in im
* [misc]taylor:  Taking taylor expansion of (- re im) 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 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 (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt re))) into (* -1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [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 (- 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 (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1/2 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqrt (- im)))) (+)) (* 2 (sqrt (- im)))) into (/ -1/8 (pow (sqrt (- im)) 3))
* [misc]taylor:  Taking taylor expansion of (/ -1/8 (pow (sqrt (- 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 (pow (sqrt (- im)) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log +nan.0)) into (+ (log im) (log +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (+ (log im) (log +nan.0))) into (* 3 (+ (log im) (log +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log im) (log +nan.0)))) into (exp (* 3 (+ (log im) (log +nan.0))))
* [misc]backup-simplify:  Simplify (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]backup-simplify:  Simplify (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/8 (exp (* 3 (+ (log im) (log +nan.0))))) (sqr (* 1 re))) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 im) (- (* 1/8 (/ (sqr re) (exp (* 3 (+ (log im) (log +nan.0)))))) (* +nan.0 re))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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) into -1
* [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) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 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 (- (/ 1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 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 (+ +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 im)) (sqr (/ 1 re)))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 im)) (/ 1 re))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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) into 1
* [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)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 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 (- (/ -1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 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 im) +nan.0) 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 +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) 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 (* +nan.0 (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- im))) (sqr (/ 1 (- re))))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))))) into (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))
* [misc]approximate:  Taking taylor expansion of (+ (* (sqrt (+ re im)) (sqrt (- re im))) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (+ re im)) (sqrt (- re im))) re) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in im
* [misc]taylor:  Taking taylor expansion of (+ re im) 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 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- re im)) in im
* [misc]taylor:  Taking taylor expansion of (- re im) 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 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 (+ re 0) into re
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt re))) into (* -1/2 (sqrt (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (+ re im)) (sqrt (- re im))) re) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- 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 (+ (* (sqrt (+ re im)) (sqrt (- re im))) re) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ re im)) (sqrt (- re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ re im)) in re
* [misc]taylor:  Taking taylor expansion of (+ re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [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 (- re im)) in re
* [misc]taylor:  Taking taylor expansion of (- re im) in re
* [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 in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (+ 0 (- im)) into (- im)
* [misc]backup-simplify:  Simplify (sqrt (- im)) into (sqrt (- im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (- im)))) into (/ 1/2 (sqrt (- 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 (* (sqrt im) (sqrt (- im))) into (* (sqrt im) (sqrt (- im)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (sqrt (- im))) 0) into (* (sqrt im) (sqrt (- im)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt im) (sqrt (- im))) in 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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (/ 1/2 (sqrt (- im)))) (* (* 1/2 (sqrt (/ 1 im))) (sqrt (- im)))) into (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im)))))) 1) into (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (+ (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))) 1))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- im)))) (+ (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))) 1)) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 im)) (sqrt (- 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)) (sqrt (- im))) in im
* [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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt im) (/ 1 (sqrt (- im))))) 1) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt im) (/ 1 (sqrt (- 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 im) (/ 1 (sqrt (- im)))) in 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]taylor:  Taking taylor expansion of (/ 1 (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 +nan.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 1) 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) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ 1/2 (sqrt (- im)))) (+)) (* 2 (sqrt (- im)))) into (/ -1/8 (pow (sqrt (- im)) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* 1/2 (sqrt (/ 1 im)))) (+)) (* 2 (sqrt im))) into (* -1/8 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (/ -1/8 (pow (sqrt (- im)) 3))) (+ (* (* 1/2 (sqrt (/ 1 im))) (/ 1/2 (sqrt (- im)))) (* (* -1/8 (sqrt (/ 1 (pow im 3)))) (sqrt (- im))))) into (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))))
* [misc]backup-simplify:  Simplify (+ (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))))) 0) into (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 im)) (/ 1 (sqrt (- im)))) in im
* [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]taylor:  Taking taylor expansion of (/ 1 (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- im)) 3)))) (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt im) (/ 1 (pow (sqrt (- 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 im) (/ 1 (pow (sqrt (- im)) 3))) in 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]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt (- im)) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt (- im)) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt (- im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (log +nan.0) into (log +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log +nan.0)) into (+ (log im) (log +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (+ (log im) (log +nan.0))) into (* 3 (+ (log im) (log +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log im) (log +nan.0)))) into (exp (* 3 (+ (log im) (log +nan.0))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 3 (+ (log im) (log +nan.0))))) into (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt (/ 1 (pow im 3))) (sqrt (- im)))) 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))) (sqrt (- im))) in im
* [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]taylor:  Taking taylor expansion of (sqrt (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.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 (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 +nan.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (exp (* 3 (+ (log im) (log +nan.0)))))) into 0
* [misc]backup-simplify:  Simplify (* 1/8 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 (- +nan.0)) (+ (* 0 0) (* 0 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 (+ (- +nan.0) (- +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 (sqr +nan.0) (+)) (* 2 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.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) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* im re)) (+ (* (- +nan.0) (sqr (* 1 re))) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re))))))
* [misc]approximate:  Taking taylor expansion of (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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 (+ 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) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) in im
* [misc]taylor:  Taking 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) into -1
* [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 (/ 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 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 (/ 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 im))) (sqrt (- (/ 1 re) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) 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) 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 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 (- (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 re) (/ 1 im)) 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) 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 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 (/ 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 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 +nan.0) (* +nan.0 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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 im))) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (/ 1 im) +nan.0)) 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 into 1
* [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 im) (/ 0 im)) (* 0 (/ 0 im)))) 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 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (- (/ 1 im) +nan.0)) (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) 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 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 im)) (/ 1 re))) (+ (* (- +nan.0) (sqr (* (/ 1 (/ 1 im)) (/ 1 re)))) (* 1 (* 1 (/ 1 (/ 1 re)))))) into (- re (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))
* [misc]approximate:  Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 (+ 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)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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) into 1
* [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 (/ 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 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (/ 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 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (- (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- re)) (/ 1 (- im))) 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)) 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 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 (/ 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 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 +nan.0) (* +nan.0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 im)) into (/ 1 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1 im) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.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 (/ -1 im)) into (- (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 im)) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 im)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ +nan.0 (/ 1 im))) 0))) into (- +nan.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 (+ (- +nan.0) 0) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 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 (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 im))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) 0) into (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 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 (- 0) into 0
* [misc]backup-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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (* +nan.0 (+ +nan.0 (/ 1 im)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 im))) (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 im))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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 (+ (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) 0) into (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqr im))) (- (+ +nan.0 (- (* +nan.0 (/ 1 im)))))) 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 (- (* +nan.0 (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 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 (- (* +nan.0 (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 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 im) in im
* [misc]taylor:  Taking 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 (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) 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 (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))) (+ (* (- +nan.0) (sqr (* (/ 1 (/ 1 (- im))) (/ 1 (- re))))) (* -1 (* 1 (/ 1 (/ 1 (- re))))))) into (- re (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re)))))
* * * [misc]progress:  simplifying alt 1 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (- (* 2 re) (* 1/2 (/ (sqr im) re))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (- (* 2 re) (/ (* im 1/2) (/ re im))) 2.0)))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (* (- (* 2 re) (/ (* im 1/2) (/ re im))) 2.0))))
* * * [misc]progress:  simplifying alt 2 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* 1/2 (/ 1 (* im (* (sqrt -1) (sqr re))))) (/ 1 re)))))
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (/ 2.0 re) (* (/ 2.0 (* re re)) (/ (/ 1/2 im) (sqrt -1))))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (+ (/ 2.0 re) (* (/ 2.0 (* re re)) (/ (/ 1/2 im) (sqrt -1))))) 0.5))
* * * [misc]progress:  simplifying alt 3 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (- (+ (* +nan.0 (/ 1 (* (sqr im) re))) (- (/ 1 re) (+ (* +nan.0 (/ 1 (sqr im))) (- (+ (* +nan.0 (/ 1 (* im re))) (- (+ (* +nan.0 (/ 1 im)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (* (sqr im) (sqr re))))))))))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 4 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) re))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 5 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 6 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 7 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) (sqrt (- re im))) re))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 8 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 9 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 10 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 im) (- (* 1/8 (/ (sqr re) (exp (* 3 (+ (log im) (log +nan.0)))))) (* +nan.0 re))))) re))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 11 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))) re))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 12 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))) re))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 13 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (sqrt (+ (* im (sqrt -1)) re))))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (sqrt -1) (* im 2.0)) (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (+ (* (sqrt -1) (* im 2.0)) (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 14 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (sqrt (* 2 re))))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (* 2 re) 2.0)))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (* (* 2 re) 2.0))))
* * * [misc]progress:  simplifying alt 15 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (sqrt 0)))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (11 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 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (sqrt (+ (* im (sqrt -1)) re))))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (sqrt -1) (* im 2.0)) (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (+ (* (sqrt -1) (* im 2.0)) (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 17 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (sqrt (+ re re))))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* 2.0 re) (* 2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (+ (* 2.0 re) (* 2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 18 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (sqrt (+ (* -1 re) re))))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (37 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (+ -1 1) (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (* (+ -1 1) (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 19 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (- (* 1/8 (* (sqr re) (sqrt (/ 1 (exp (* 3 (+ (log im) (log (sqrt -1))))))))) (+ (* +nan.0 (* im (sqrt -1))) (- (* +nan.0 (/ re (sqrt -1))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 20 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 21 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr 0))))
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 0 2.0)))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (* 0 2.0))))
* * * [misc]progress:  simplifying alt 22 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* im (sqrt -1)) re))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* re 2.0) (* (sqrt -1) (* 2.0 im)))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (+ (* re 2.0) (* (sqrt -1) (* 2.0 im)))) 0.5))
* * * [misc]progress:  simplifying alt 23 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (pow re 3))) (- (* +nan.0 (/ (sqr im) (sqr re)))))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 24 of 36
* [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 25 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) re))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 26 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 27 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))) re))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 28 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) (sqrt (- re im))) re))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 29 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 30 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im))) re))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 31 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 im) (- (* 1/8 (/ (sqr re) (exp (* 3 (+ (log im) (log +nan.0)))))) (* +nan.0 re))))) re))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 32 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))) re))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 33 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (+ re im)) (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re)))))))) re))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 34 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (- (+ (* +nan.0 (* im re)) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 35 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (- re (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* * * [misc]progress:  simplifying alt 36 of 36
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (- re (+ (* +nan.0 (/ (sqr im) (sqr re))) (- (* +nan.0 (/ im re))))))))
* [misc]none:  prog is (λ (re im) +nan.0)
* [misc]progress:  [Phase 3 of 3] Extracting.
* [enter]simplify:  Simplifying (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* [exit]simplify:  Simplified to (cbrt (+ (* (sqrt (+ re im)) (sqrt (- re im))) re))
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (- (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (* (+ re im) (- re im)))))
* [exit]simplify:  Simplified to (sqrt (+ re (sqrt (* (+ re im) (- re im)))))
* [enter]simplify:  Simplifying (sqrt (+ re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re im))
* [exit]simplify:  Simplified to (sqrt (+ re im))
* [enter]simplify:  Simplifying (sqrt (- re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (- re im))
* [exit]simplify:  Simplified to (sqrt (- re im))