* [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 (30 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (sqrt (- (* re re) (* im im))) 2.0 (* 2.0 re))))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 2
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] 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 / 3 ] 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:  [ 3 / 3 ] 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:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 2 1 2)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 2 1 2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 59 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (sqrt -1) (* 2.0 im) (* re 2.0))) 0.5)
* * * * [misc]progress:  [ 2 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (* 2 re))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 2 (* re 2.0))))
* * * * [misc]progress:  [ 3 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 0)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt 0))
* * * * [misc]progress:  [ 4 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (- (+ (* +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:  [ 5 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (sqr re)))))))))
* * * * [misc]progress:  [ 6 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 0))>
* [enter]simplify:  Simplifying (* 0.5 0)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 7 / 59 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (sqrt -1) (* 2.0 im) (* re 2.0))) 0.5)
* * * * [misc]progress:  [ 8 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ re re))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (+ (* 2.0 re) (* 2.0 re))))
* * * * [misc]progress:  [ 9 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma -1 re re) 2.0)) 0.5)
* * * * [misc]progress:  [ 10 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (log1p (expm1 (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (expm1 (+ (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)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (expm1 (+ re (sqrt (* (+ re im) (- re im)))))
* [exit]simplify:  Simplified to (expm1 (+ re (sqrt (* (+ re im) (- re im)))))
* * * * [misc]progress:  [ 11 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (expm1 (log1p (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (log1p (+ (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)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (log1p (+ re (sqrt (* (+ re im) (- re im)))))
* [exit]simplify:  Simplified to (log1p (+ re (sqrt (* (+ re im) (- re im)))))
* * * * [misc]progress:  [ 12 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt 1) (sqrt (- (* re re) (* im im))) re)))))>
* * * * [misc]progress:  [ 13 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (+ re im)) (sqrt (- re im)) re)))))>
* * * * [misc]progress:  [ 14 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (+ re (sqrt (* im im)))) (sqrt (- re (sqrt (* im im)))) re)))))>
* * * * [misc]progress:  [ 15 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (+ (sqrt (* re re)) im)) (sqrt (- (sqrt (* re re)) im)) re)))))>
* * * * [misc]progress:  [ 16 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (+ (sqrt (* re re)) (sqrt (* im im)))) (sqrt (- (sqrt (* re re)) (sqrt (* im im)))) re)))))>
* * * * [misc]progress:  [ 17 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma 1 (sqrt (- (* re re) (* im im))) re)))))>
* * * * [misc]progress:  [ 18 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (+ (sqrt (- (* re re) (* im im))) re) 1)))))>
* * * * [misc]progress:  [ 19 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (log (+ (sqrt (- (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (28 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:  [ 20 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (exp (+ (sqrt (- (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (32 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:  [ 21 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (cbrt (+ (sqrt (- (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (28 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:  [ 22 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (cube (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (cube (+ (sqrt (- (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (281 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:  [ 23 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (sqr (sqrt (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (- (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (28 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:  [ 24 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (- (* re re) (* im im))) re))))))>
* * * * [misc]progress:  [ 25 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (pow (sqrt (- (* re re) (* im im))) 3) (pow re 3)) (+ (sqr (sqrt (- (* re re) (* im im)))) (- (sqr re) (* (sqrt (- (* re re) (* im im))) re))))))))>
* [enter]simplify:  Simplifying (- (pow (sqrt (- (* re re) (* im im))) 3) (pow re 3))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (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 (58 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 (28 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (fma (- re (sqrt (* (+ re im) (- re im)))) re (* (+ re im) (- re im)))
* [exit]simplify:  Simplified to (fma (- re (sqrt (* (+ re im) (- re im)))) re (* (+ re im) (- re im)))
* * * * [misc]progress:  [ 26 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (sqr (sqrt (- (* re re) (* im im)))) (sqr re)) (- (sqrt (- (* re re) (* im im))) re))))))>
* [enter]simplify:  Simplifying (- (sqr (sqrt (- (* re re) (* im im)))) (sqr re))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (- 0 (* im im))
* [exit]simplify:  Simplified to (- 0 (* 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)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (- (sqrt (* (+ re im) (- re im))) re)
* [exit]simplify:  Simplified to (- (sqrt (* (+ re im) (- re im))) re)
* * * * [misc]progress:  [ 27 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re (sqrt (- (* re re) (* im im))))))))>
* * * * [misc]progress:  [ 28 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (log1p (expm1 (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (expm1 (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 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (fma 2.0 (sqrt (- (* re re) (* im im))) (* re 2.0))))
* [exit]simplify:  Simplified to (expm1 (sqrt (fma 2.0 (sqrt (- (* re re) (* im im))) (* re 2.0))))
* * * * [misc]progress:  [ 29 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (expm1 (log1p (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (log1p (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 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (fma 2.0 (sqrt (- (* re re) (* im im))) (* re 2.0))))
* [exit]simplify:  Simplified to (log1p (sqrt (fma 2.0 (sqrt (- (* re re) (* im im))) (* re 2.0))))
* * * * [misc]progress:  [ 30 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)) 1/2)))>
* * * * [misc]progress:  [ 31 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))) 1)))>
* * * * [misc]progress:  [ 32 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (log (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (log (sqrt (fma 2.0 (sqrt (- (* re re) (* im im))) (* re 2.0))))
* [exit]simplify:  Simplified to (log (sqrt (fma 2.0 (sqrt (- (* re re) (* im im))) (* re 2.0))))
* * * * [misc]progress:  [ 33 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (log (exp (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (fma 2.0 (sqrt (- (* re re) (* im im))) (* re 2.0))))
* [exit]simplify:  Simplified to (exp (sqrt (fma 2.0 (sqrt (- (* re re) (* im im))) (* re 2.0))))
* * * * [misc]progress:  [ 34 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (fma 2.0 (sqrt (- (* re re) (* im im))) (* re 2.0))))
* [exit]simplify:  Simplified to (cbrt (sqrt (fma 2.0 (sqrt (- (* re re) (* im im))) (* re 2.0))))
* * * * [misc]progress:  [ 35 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cbrt (cube (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (cube (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (* (fma (sqrt (* (- re im) (+ re im))) 2.0 (* re 2.0)) (sqrt (fma (sqrt (* (- re im) (+ re im))) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (* (fma (sqrt (* (- re im) (+ re im))) 2.0 (* re 2.0)) (sqrt (fma (sqrt (* (- re im) (+ re im))) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 36 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (- (* re re) (* im im))) re)))))>
* [enter]simplify:  Simplifying (sqrt 2.0)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2.0)
* [exit]simplify:  Simplified to (sqrt 2.0)
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (- (* re re) (* im im))) re))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (28 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:  [ 37 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (pow (sqrt (- (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (sqr (sqrt (- (* re re) (* im im)))) (- (sqr re) (* (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (* 2.0 (- (pow (sqrt (- (* re re) (* im im))) 3) (pow re 3))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (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 (62 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 (29 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (- re (sqrt (* (+ re im) (- re im)))) re (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (sqrt (fma (- re (sqrt (* (+ re im) (- re im)))) re (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 38 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (sqr (sqrt (- (* re re) (* im im)))) (sqr re)))) (sqrt (- (sqrt (- (* re re) (* im im))) re)))))>
* [enter]simplify:  Simplifying (sqrt (* 2.0 (- (sqr (sqrt (- (* re re) (* im im)))) (sqr re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- 0 (* im im)) 2.0))
* [exit]simplify:  Simplified to (sqrt (* (- 0 (* im im)) 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)
* * [misc]simplify:  iters left: 1 (27 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:  [ 39 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqr (sqrt (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (sqrt (- (* re re) (* im im))) (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (sqrt (- (* re re) (* im im))) (* re 2.0))))
* * * * [misc]progress:  [ 40 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (fabs (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))))))>
* * * * [misc]progress:  [ 41 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))))))>
* * * * [misc]progress:  [ 42 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (log1p (expm1 (sqrt (- (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (expm1 (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)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (expm1 (sqrt (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 43 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (expm1 (log1p (sqrt (- (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (log1p (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)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (log1p (sqrt (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 44 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (- (* re re) (* im im)) 1/2) re)))))>
* * * * [misc]progress:  [ 45 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (- (* re re) (* im im))) 1) re)))))>
* * * * [misc]progress:  [ 46 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (sqrt (- (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (log (sqrt (- (* re re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (log (sqrt (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (log (sqrt (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 47 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (log (exp (sqrt (- (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (exp (sqrt (- (* re re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (exp (sqrt (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 48 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cube (cbrt (sqrt (- (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (- (* re re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 49 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (cube (sqrt (- (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (cube (sqrt (- (* re re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (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:  [ 50 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt 1) (sqrt (- (* re re) (* im im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (- (* re re) (* im im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (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:  [ 51 / 59 ] 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:  [ 52 / 59 ] 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:  [ 53 / 59 ] 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:  [ 54 / 59 ] 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:  [ 55 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (- (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (sqr (* re re)) (+ (sqr (* im im)) (* (* re re) (* im im)))))) re)))))>
* [enter]simplify:  Simplifying (sqrt (- (pow (* re re) 3) (pow (* im im) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (sqrt (- (sqr (cube re)) (sqr (cube im))))
* [exit]simplify:  Simplified to (sqrt (- (sqr (cube re)) (sqr (cube im))))
* [enter]simplify:  Simplifying (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 (39 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (fma im im (sqr re)) (* im im) (* (sqr re) (sqr re))))
* [exit]simplify:  Simplified to (sqrt (fma (fma im im (sqr re)) (* im im) (* (sqr re) (sqr re))))
* * * * [misc]progress:  [ 56 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (- (sqr (* re re)) (sqr (* im im)))) (sqrt (+ (* re re) (* im im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr (* re re)) (sqr (* im im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (195 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (sqr re) (sqr re)) (* (* im im) (* im im))))
* [exit]simplify:  Simplified to (sqrt (- (* (sqr re) (sqr re)) (* (* im im) (* im im))))
* [enter]simplify:  Simplifying (sqrt (+ (* re re) (* im im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (hypot im re)
* [exit]simplify:  Simplified to (hypot im re)
* * * * [misc]progress:  [ 57 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqr (sqrt (sqrt (- (* re re) (* im im))))) re)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- (* re re) (* im im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ re im) (- re im))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ re im) (- re im))))
* * * * [misc]progress:  [ 58 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (- (* re re) (* im im)))) re)))))>
* * * * [misc]progress:  [ 59 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (- (* re re) (* im im)))) re)))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 2
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (+ re im)) (sqrt (- re im)) re)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ re im)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ re im)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ re im)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ im re)) (sqrt (- re im)) re) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ im re)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]backup-simplify:  Simplify (fma (sqrt (+ im re)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (sqrt (+ im re)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]approximate:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]backup-simplify:  Simplify (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 2 1 2 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:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2 2 1 2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 2 1 2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 30 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (+ im re)) (sqrt (- re im)) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (sqrt (+ im re)) (sqrt (- re im)) re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (fma (sqrt (+ im re)) (sqrt (- re im)) re) 2.0)))
* * * * [misc]progress:  [ 2 / 30 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* 2.0 (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))) 0.5)
* * * * [misc]progress:  [ 3 / 30 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) 2.0)) 0.5)
* * * * [misc]progress:  [ 4 / 30 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) (sqrt (- re im)) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (- (+ (* +nan.0 im) (- (+ (* +nan.0 (sqr re)) (- (* +nan.0 re)))))) (sqrt (- re im)) re))))
* * * * [misc]progress:  [ 5 / 30 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im)) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im)) re))))
* * * * [misc]progress:  [ 6 / 30 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im)) re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (- (+ (* +nan.0 (/ im (sqr re))) (- (+ +nan.0 (- (* +nan.0 (/ im re))))))) (sqrt (- re im)) re))))
* * * * [misc]progress:  [ 7 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (log1p (expm1 (fma (sqrt (+ re im)) (sqrt (- re im)) re)))))))>
* [enter]simplify:  Simplifying (expm1 (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (expm1 (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* [exit]simplify:  Simplified to (expm1 (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * * * [misc]progress:  [ 8 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (expm1 (log1p (fma (sqrt (+ re im)) (sqrt (- re im)) re)))))))>
* [enter]simplify:  Simplifying (log1p (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (log1p (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* [exit]simplify:  Simplified to (log1p (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * * * [misc]progress:  [ 9 / 30 ] 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)) (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:  [ 10 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (fma (sqrt (+ re im)) (sqrt (- re im)) re) 1)))))>
* * * * [misc]progress:  [ 11 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (fma (sqrt (+ re im)) (sqrt (- re im)) re)))))))>
* [enter]simplify:  Simplifying (log (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (log (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* [exit]simplify:  Simplified to (log (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * * * [misc]progress:  [ 12 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (fma (sqrt (+ re im)) (sqrt (- re im)) re)))))))>
* [enter]simplify:  Simplifying (exp (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (exp (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* [exit]simplify:  Simplified to (exp (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * * * [misc]progress:  [ 13 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cube (cbrt (fma (sqrt (+ re im)) (sqrt (- re im)) re)))))))>
* [enter]simplify:  Simplifying (cbrt (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* [exit]simplify:  Simplified to (cbrt (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * * * [misc]progress:  [ 14 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (cube (fma (sqrt (+ re im)) (sqrt (- re im)) re)))))))>
* [enter]simplify:  Simplifying (cube (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (cube (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* [exit]simplify:  Simplified to (cube (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * * * [misc]progress:  [ 15 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (sqr (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re)))))))>
* [enter]simplify:  Simplifying (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* [exit]simplify:  Simplified to (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * * * [misc]progress:  [ 16 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (fma (sqrt (+ re im)) (sqrt (- re im)) re))))))>
* * * * [misc]progress:  [ 17 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (log1p (expm1 (sqrt (+ re im)))) (sqrt (- re im)) re)))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (+ re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (+ re im)))
* [exit]simplify:  Simplified to (expm1 (sqrt (+ re im)))
* * * * [misc]progress:  [ 18 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (expm1 (log1p (sqrt (+ re im)))) (sqrt (- re im)) re)))))>
* [enter]simplify:  Simplifying (log1p (sqrt (+ re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (+ re im)))
* [exit]simplify:  Simplified to (log1p (sqrt (+ re im)))
* * * * [misc]progress:  [ 19 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (pow (+ re im) 1/2) (sqrt (- re im)) re)))))>
* * * * [misc]progress:  [ 20 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (pow (sqrt (+ re im)) 1) (sqrt (- re im)) re)))))>
* * * * [misc]progress:  [ 21 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (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:  [ 22 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (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:  [ 23 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (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:  [ 24 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (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:  [ 25 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (* (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:  [ 26 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (/ (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 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (fma re (- re im) (* im im)))
* [exit]simplify:  Simplified to (sqrt (fma re (- re im) (* im im)))
* * * * [misc]progress:  [ 27 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (/ (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:  [ 28 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (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:  [ 29 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (fabs (sqrt (+ re im))) (sqrt (- re im)) re)))))>
* * * * [misc]progress:  [ 30 / 30 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (* 1 (sqrt (+ re im))) (sqrt (- re im)) re)))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  Final touches.
* * * [misc]progress:  tayloring alt 1 of 2
* [misc]approximate:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ re im)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ re im)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ re im)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ im re)) (sqrt (- re im)) re) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ im re)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]backup-simplify:  Simplify (fma (sqrt (+ im re)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (sqrt (+ im re)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]approximate:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]backup-simplify:  Simplify (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 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]progress:  tayloring alt 2 of 2
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re)) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ re im)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)) into (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re)) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ re im)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)) into (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re)) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ re im)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)) into (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)) (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re))) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ im re)) (sqrt (- re im)) re) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ im re)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]backup-simplify:  Simplify (fma (sqrt (+ im re)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)) 0) (* 0 (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)) 0) (+ (* 0 0) (* 0 (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (sqrt (+ im re)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))) into (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))) into (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))) into (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))) (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))) 0) (* 0 (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))) 0) (+ (* 0 0) (* 0 (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))) into (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))) into (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))) into (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))) (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)))) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]backup-simplify:  Simplify (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))) 0) (* 0 (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))) 0) (+ (* 0 0) (* 0 (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ re im)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ re im)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ re im)) (sqrt (- re im)) re) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ re im)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ im re)) (sqrt (- re im)) re) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ im re)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]backup-simplify:  Simplify (fma (sqrt (+ im re)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (sqrt (+ im re)) (sqrt (- re im)) re) into (fma (sqrt (+ im re)) (sqrt (- re im)) re)
* [misc]approximate:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (- re)) (/ 1 (- im)))) (sqrt (- (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]backup-simplify:  Simplify (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) into (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 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]progress:  simplifying alt 1 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (sqrt (+ im re)) (sqrt (- re im)) re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (fma (sqrt (+ im re)) (sqrt (- re im)) re) 2.0)))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (+ im re)) (sqrt (- re im)) re) 2.0))))
* * * [misc]progress:  simplifying alt 2 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))))
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* 2.0 (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (* 2.0 (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))) 0.5))
* * * [misc]progress:  simplifying alt 3 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)))))
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) 2.0)) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (* (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) 2.0)) 0.5))
* * * [misc]progress:  simplifying alt 4 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (- (+ (* +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 5 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (- (+ (* +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 6 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (- (+ (* +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 7 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (sqrt (+ im re)) (sqrt (- re im)) re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (fma (sqrt (+ im re)) (sqrt (- re im)) re) 2.0)))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (+ im re)) (sqrt (- re im)) re) 2.0))))
* * * [misc]progress:  simplifying alt 8 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))))
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* 2.0 (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (* 2.0 (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))) 0.5))
* * * [misc]progress:  simplifying alt 9 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)))))
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) 2.0)) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (* (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) 2.0)) 0.5))
* * * [misc]progress:  simplifying alt 10 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (sqrt (fma (sqrt (+ im re)) (sqrt (- re im)) re))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (fma (sqrt (+ im re)) (sqrt (- re im)) re) 2.0)))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (+ im re)) (sqrt (- re im)) re) 2.0))))
* * * [misc]progress:  simplifying alt 11 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (sqrt (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))))))
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* 2.0 (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (* 2.0 (fma (sqrt (+ (/ 1 re) (/ 1 im))) (sqrt (- (/ 1 re) (/ 1 im))) (/ 1 re)))) 0.5))
* * * [misc]progress:  simplifying alt 12 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (sqrt (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)))))))
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) 2.0)))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (- (+ (/ 1 re) (/ 1 im)))) (sqrt (- (/ 1 im) (/ 1 re))) (/ -1 re)) 2.0))))
* * * [misc]progress:  simplifying alt 13 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (sqrt (fma (- (+ (* +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 14 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (sqrt (fma (- (+ (* +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 15 of 15
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (sqr (sqrt (fma (- (+ (* +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:  [Phase 3 of 3] Extracting.
* [enter]simplify:  Simplifying (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re))
* [exit]simplify:  Simplified to (sqrt (fma (sqrt (+ re im)) (sqrt (- re im)) re))