* [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 (25 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot re 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-delta (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (hypot re im) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [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 (hypot re im) into (hypot re im)
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [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 (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [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 (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re
* [misc]taylor:  Taking taylor expansion of 0.5 in re
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re
* [misc]taylor:  Taking taylor expansion of 0.5 in re
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (+ (* 0.5 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]approximate:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of 0.5 in re
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of 0.5 in re
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]approximate:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of 0.5 in re
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of 0.5 in re
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 56 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* * * * [misc]progress:  [ 2 / 56 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * * * [misc]progress:  [ 3 / 56 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* * * * [misc]progress:  [ 4 / 56 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* * * * [misc]progress:  [ 5 / 56 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * * * [misc]progress:  [ 6 / 56 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* * * * [misc]progress:  [ 7 / 56 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* * * * [misc]progress:  [ 8 / 56 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* * * * [misc]progress:  [ 9 / 56 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* * * * [misc]progress:  [ 10 / 56 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* * * * [misc]progress:  [ 11 / 56 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * * * [misc]progress:  [ 12 / 56 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* * * * [misc]progress:  [ 13 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (log1p (expm1 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 14 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (expm1 (log1p (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (log1p (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 15 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/2)))>
* * * * [misc]progress:  [ 16 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 1)))>
* * * * [misc]progress:  [ 17 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (exp (log (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (log (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (log (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (log (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 18 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (log (exp (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 19 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 20 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cbrt (cube (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (cube (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 21 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt 1) (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (fma (hypot re im) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 22 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqr (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 23 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (fabs (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))>
* * * * [misc]progress:  [ 24 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* 1 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))>
* * * * [misc]progress:  [ 25 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (log1p (expm1 (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (expm1 (fma (hypot re im) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 26 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (expm1 (log1p (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (log1p (fma (hypot re im) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 27 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (+ (* (hypot re im) 2.0) (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* (hypot re im) 2.0)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* * * * [misc]progress:  [ 28 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1))))>
* * * * [misc]progress:  [ 29 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (exp (log (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (log (fma (hypot re im) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (log (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 30 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (log (exp (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (exp (fma (hypot re im) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 31 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (cube (cbrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (cbrt (fma (hypot re im) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 32 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (cbrt (cube (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (cube (fma (hypot re im) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (cube (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (cube (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 33 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (sqr (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 34 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 1 (fma (hypot re im) 2.0 (* 2.0 re))))))>
* * * * [misc]progress:  [ 35 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (log1p (expm1 (hypot re im))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (expm1 (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (expm1 (hypot re im))
* [exit]simplify:  Simplified to (expm1 (hypot re im))
* * * * [misc]progress:  [ 36 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (expm1 (log1p (hypot re im))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (log1p (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (log1p (hypot re im))
* [exit]simplify:  Simplified to (log1p (hypot re im))
* * * * [misc]progress:  [ 37 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (+ (sqr re) (sqr im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (fma im im (sqr re))
* [exit]simplify:  Simplified to (fma im im (sqr re))
* * * * [misc]progress:  [ 38 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (pow (hypot re im) 1) 2.0 (* 2.0 re)))))>
* * * * [misc]progress:  [ 39 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (exp (log (hypot re im))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (log (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (log (hypot re im))
* [exit]simplify:  Simplified to (log (hypot re im))
* * * * [misc]progress:  [ 40 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (log (exp (hypot re im))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (exp (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (exp (hypot re im))
* [exit]simplify:  Simplified to (exp (hypot re im))
* * * * [misc]progress:  [ 41 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (cbrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* * * * [misc]progress:  [ 42 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (cube (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (cube (hypot re im))
* [exit]simplify:  Simplified to (cube (hypot re im))
* * * * [misc]progress:  [ 43 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (sqrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* * * * [misc]progress:  [ 44 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (* 1 (hypot re im)) 2.0 (* 2.0 re)))))>
* * * * [misc]progress:  [ 45 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (log1p (expm1 (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (expm1 (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (expm1 (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* [exit]simplify:  Simplified to (expm1 (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * * [misc]progress:  [ 46 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log1p (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* [exit]simplify:  Simplified to (log1p (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * * [misc]progress:  [ 47 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (pow (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) 1))>
* * * * [misc]progress:  [ 48 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (exp (log (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (log (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (log (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* [exit]simplify:  Simplified to (log (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * * [misc]progress:  [ 49 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (log (exp (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (exp (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (pow (exp 0.5) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (pow (exp 0.5) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 50 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (cbrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* [exit]simplify:  Simplified to (cbrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * * [misc]progress:  [ 51 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (cbrt (cube (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (cube (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (* (cube 0.5) (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (* (* (cube 0.5) (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 52 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (sqrt (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* [exit]simplify:  Simplified to (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * * [misc]progress:  [ 53 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* 1 (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))>
* * * * [misc]progress:  [ 54 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* (* 0.5 (sqrt 1)) (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (* (sqrt 1) 0.5)
* [exit]simplify:  Simplified to (* (sqrt 1) 0.5)
* * * * [misc]progress:  [ 55 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* (* 0.5 1) (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 0.5
* [exit]simplify:  Simplified to 0.5
* * * * [misc]progress:  [ 56 / 56 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5))>
* * * [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 (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (hypot re im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (* 0 (sqrt (hypot re 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (+ (* 0 0) (* 0 (sqrt (hypot re 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot re 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 (hypot re im) into (hypot re im)
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [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 (hypot re 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot re 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 (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [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 (hypot (/ 1 re) (/ 1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ 1 re) (/ 1 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 (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [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 (hypot (/ -1 re) (/ -1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ -1 re) (/ -1 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 (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* * * * [misc]progress:  [ 2 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * * * [misc]progress:  [ 3 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* * * * [misc]progress:  [ 4 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* * * * [misc]progress:  [ 5 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * * * [misc]progress:  [ 6 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* * * * [misc]progress:  [ 7 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* * * * [misc]progress:  [ 8 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* * * * [misc]progress:  [ 9 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* * * * [misc]progress:  [ 10 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5)
* * * * [misc]progress:  [ 11 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* * * * [misc]progress:  [ 12 / 59 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma (sqr (sqrt (hypot (/ -1 re) (/ -1 im)))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot (/ -1 re) (/ -1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* * * * [misc]progress:  [ 13 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (log1p (expm1 (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 14 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (expm1 (log1p (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (log1p (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 15 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) 1/2)))>
* * * * [misc]progress:  [ 16 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))) 1)))>
* * * * [misc]progress:  [ 17 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (exp (log (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (log (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (log (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (log (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 18 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (log (exp (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 19 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cube (cbrt (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 20 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cbrt (cube (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (cube (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 21 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt 1) (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 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 (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 22 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqr (sqrt (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 23 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (fabs (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))))>
* * * * [misc]progress:  [ 24 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* 1 (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))))>
* * * * [misc]progress:  [ 25 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (log1p (expm1 (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (expm1 (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 26 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (expm1 (log1p (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (log1p (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 27 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (+ (* (sqr (sqrt (hypot re im))) 2.0) (* 2.0 re)))))>
* [enter]simplify:  Simplifying (* (sqr (sqrt (hypot re im))) 2.0)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* * * * [misc]progress:  [ 28 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (pow (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) 1))))>
* * * * [misc]progress:  [ 29 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (exp (log (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (log (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (log (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (log (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 30 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (log (exp (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (exp (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 31 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (cube (cbrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (cbrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 32 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (cbrt (cube (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (cube (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (cube (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (cube (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 33 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (sqr (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))>
* [enter]simplify:  Simplifying (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 34 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 1 (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))))>
* * * * [misc]progress:  [ 35 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (log1p (expm1 (sqr (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (expm1 (sqr (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (expm1 (hypot re im))
* [exit]simplify:  Simplified to (expm1 (hypot re im))
* * * * [misc]progress:  [ 36 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (expm1 (log1p (sqr (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (log1p (sqr (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (log1p (hypot re im))
* [exit]simplify:  Simplified to (log1p (hypot re im))
* * * * [misc]progress:  [ 37 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (pow (sqrt (hypot re im)) 2) 2.0 (* 2.0 re)))))>
* * * * [misc]progress:  [ 38 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (pow (sqr (sqrt (hypot re im))) 1) 2.0 (* 2.0 re)))))>
* * * * [misc]progress:  [ 39 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (exp (log (sqr (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (log (sqr (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (log (hypot re im))
* [exit]simplify:  Simplified to (log (hypot re im))
* * * * [misc]progress:  [ 40 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (log (exp (sqr (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (exp (sqr (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (exp (hypot re im))
* [exit]simplify:  Simplified to (exp (hypot re im))
* * * * [misc]progress:  [ 41 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (cube (cbrt (sqr (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (cbrt (sqr (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* * * * [misc]progress:  [ 42 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (cbrt (cube (sqr (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (cube (sqr (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (cube (hypot re im))
* [exit]simplify:  Simplified to (cube (hypot re im))
* * * * [misc]progress:  [ 43 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (sqrt (sqr (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (sqrt (sqr (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* * * * [misc]progress:  [ 44 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (* (sqr (sqrt 1)) (sqr (sqrt (hypot re im)))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (sqr (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (sqr (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (hypot re im)
* [exit]simplify:  Simplified to (hypot re im)
* * * * [misc]progress:  [ 45 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (* (sqr 1) (sqr (sqrt (hypot re im)))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (sqr 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqr 1)
* [exit]simplify:  Simplified to (sqr 1)
* [enter]simplify:  Simplifying (sqr (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (hypot re im)
* [exit]simplify:  Simplified to (hypot re im)
* * * * [misc]progress:  [ 46 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (* (sqrt (hypot re im)) (sqrt (hypot re im))) 2.0 (* 2.0 re)))))>
* * * * [misc]progress:  [ 47 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (* 1 (sqr (sqrt (hypot re im)))) 2.0 (* 2.0 re)))))>
* * * * [misc]progress:  [ 48 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (log1p (expm1 (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (expm1 (sqrt (hypot re im)))
* * * * [misc]progress:  [ 49 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (expm1 (log1p (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (log1p (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (log1p (sqrt (hypot re im)))
* * * * [misc]progress:  [ 50 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (pow (hypot re im) 1/2)) 2.0 (* 2.0 re)))))>
* * * * [misc]progress:  [ 51 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (pow (sqrt (hypot re im)) 1)) 2.0 (* 2.0 re)))))>
* * * * [misc]progress:  [ 52 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (log (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (log (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (log (sqrt (hypot re im)))
* * * * [misc]progress:  [ 53 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (log (exp (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (exp (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (exp (sqrt (hypot re im)))
* * * * [misc]progress:  [ 54 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (cube (cbrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot re im)))
* * * * [misc]progress:  [ 55 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (cube (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (hypot re im))
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (hypot re im))
* * * * [misc]progress:  [ 56 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (* (sqrt 1) (sqrt (hypot re im)))) 2.0 (* 2.0 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 (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* * * * [misc]progress:  [ 57 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot re im)))
* * * * [misc]progress:  [ 58 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (fabs (sqrt (hypot re im)))) 2.0 (* 2.0 re)))))>
* * * * [misc]progress:  [ 59 / 59 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (* 1 (sqrt (hypot re im)))) 2.0 (* 2.0 re)))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  Final touches.
* * * [misc]progress:  tayloring alt 1 of 11
* [misc]approximate:  Taking taylor expansion of (cbrt (cube (sqrt (hypot re im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (hypot re im)))) in im
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (hypot re im)))) into (sqrt (hypot re im))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (hypot re im)))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (hypot re im)))) into (sqrt (hypot re im))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (hypot re im)))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (hypot re im)))) into (sqrt (hypot re im))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [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 (sqr 0) (+)) (* 2 (sqrt (hypot re im)))) 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 (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]approximate:  Taking taylor expansion of (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im))))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im))))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im))))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [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 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) 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 (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]approximate:  Taking taylor expansion of (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [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 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) 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 (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]approximate:  Taking taylor expansion of (cube (sqrt (hypot re im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (sqrt (hypot re im))) in im
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot re im))) into (cube (sqrt (hypot re im)))
* [misc]taylor:  Taking taylor expansion of (cube (sqrt (hypot re im))) in re
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot re im))) into (cube (sqrt (hypot re im)))
* [misc]taylor:  Taking taylor expansion of (cube (sqrt (hypot re im))) in re
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot re im))) into (cube (sqrt (hypot re im)))
* [misc]taylor:  Taking taylor expansion of (cube (sqrt (hypot re im))) in im
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot re im))) into (cube (sqrt (hypot re im)))
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot re im))) into (cube (sqrt (hypot re im)))
* [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 (cube (sqrt (hypot re im))) into (cube (sqrt (hypot re im)))
* [misc]approximate:  Taking taylor expansion of (cube (sqrt (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot (/ 1 re) (/ 1 im)))) into (cube (sqrt (hypot (/ 1 re) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (cube (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot (/ 1 re) (/ 1 im)))) into (cube (sqrt (hypot (/ 1 re) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (cube (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot (/ 1 re) (/ 1 im)))) into (cube (sqrt (hypot (/ 1 re) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (cube (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot (/ 1 re) (/ 1 im)))) into (cube (sqrt (hypot (/ 1 re) (/ 1 im))))
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot (/ 1 re) (/ 1 im)))) into (cube (sqrt (hypot (/ 1 re) (/ 1 im))))
* [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 (cube (sqrt (hypot (/ 1 re) (/ 1 im)))) into (cube (sqrt (hypot (/ 1 re) (/ 1 im))))
* [misc]approximate:  Taking taylor expansion of (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (cube (sqrt (hypot (/ -1 re) (/ -1 im))))
* [misc]taylor:  Taking taylor expansion of (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (cube (sqrt (hypot (/ -1 re) (/ -1 im))))
* [misc]taylor:  Taking taylor expansion of (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (cube (sqrt (hypot (/ -1 re) (/ -1 im))))
* [misc]taylor:  Taking taylor expansion of (cube (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot (/ -1 re) (/ -1 im)))) into (cube (sqrt (hypot (/ -1 re) (/ -1 im))))
* [misc]backup-simplify:  Simplify (cube (sqrt (hypot (/ -1 re) (/ -1 im)))) into (cube (sqrt (hypot (/ -1 re) (/ -1 im))))
* [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 (cube (sqrt (hypot (/ -1 re) (/ -1 im)))) into (cube (sqrt (hypot (/ -1 re) (/ -1 im))))
* * * [misc]progress:  tayloring alt 2 of 11
* [misc]approximate:  Taking taylor expansion of (cbrt (cube (hypot re im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (hypot re im))) in im
* [misc]backup-simplify:  Simplify (cbrt (cube (hypot re im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (hypot re im))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (hypot re im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (hypot re im))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (hypot re im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [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 (hypot re im) into (hypot re im)
* [misc]approximate:  Taking taylor expansion of (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]backup-simplify:  Simplify (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [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 (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]approximate:  Taking taylor expansion of (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]backup-simplify:  Simplify (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [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 (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]approximate:  Taking taylor expansion of (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (cbrt (cube (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]approximate:  Taking taylor expansion of (cube (hypot re im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (hypot re im)) in im
* [misc]backup-simplify:  Simplify (cube (hypot re im)) into (cube (hypot re im))
* [misc]taylor:  Taking taylor expansion of (cube (hypot re im)) in re
* [misc]backup-simplify:  Simplify (cube (hypot re im)) into (cube (hypot re im))
* [misc]taylor:  Taking taylor expansion of (cube (hypot re im)) in re
* [misc]backup-simplify:  Simplify (cube (hypot re im)) into (cube (hypot re im))
* [misc]taylor:  Taking taylor expansion of (cube (hypot re im)) in im
* [misc]backup-simplify:  Simplify (cube (hypot re im)) into (cube (hypot re im))
* [misc]backup-simplify:  Simplify (cube (hypot re im)) into (cube (hypot re im))
* [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 (cube (hypot re im)) into (cube (hypot re im))
* [misc]approximate:  Taking taylor expansion of (cube (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (hypot (/ 1 re) (/ 1 im))) in im
* [misc]backup-simplify:  Simplify (cube (hypot (/ 1 re) (/ 1 im))) into (cube (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (cube (hypot (/ 1 re) (/ 1 im))) in re
* [misc]backup-simplify:  Simplify (cube (hypot (/ 1 re) (/ 1 im))) into (cube (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (cube (hypot (/ 1 re) (/ 1 im))) in re
* [misc]backup-simplify:  Simplify (cube (hypot (/ 1 re) (/ 1 im))) into (cube (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (cube (hypot (/ 1 re) (/ 1 im))) in im
* [misc]backup-simplify:  Simplify (cube (hypot (/ 1 re) (/ 1 im))) into (cube (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (cube (hypot (/ 1 re) (/ 1 im))) into (cube (hypot (/ 1 re) (/ 1 im)))
* [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 (cube (hypot (/ 1 re) (/ 1 im))) into (cube (hypot (/ 1 re) (/ 1 im)))
* [misc]approximate:  Taking taylor expansion of (cube (hypot (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]backup-simplify:  Simplify (cube (hypot (/ 1 (- re)) (/ 1 (- im)))) into (cube (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (cube (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]backup-simplify:  Simplify (cube (hypot (/ 1 (- re)) (/ 1 (- im)))) into (cube (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (cube (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]backup-simplify:  Simplify (cube (hypot (/ 1 (- re)) (/ 1 (- im)))) into (cube (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (cube (hypot (/ -1 re) (/ -1 im))) in im
* [misc]backup-simplify:  Simplify (cube (hypot (/ -1 re) (/ -1 im))) into (cube (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (cube (hypot (/ -1 re) (/ -1 im))) into (cube (hypot (/ -1 re) (/ -1 im)))
* [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 (cube (hypot (/ -1 re) (/ -1 im))) into (cube (hypot (/ -1 re) (/ -1 im)))
* * * [misc]progress:  tayloring alt 3 of 11
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]approximate:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) in im
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) in re
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) in re
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) in im
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* [misc]approximate:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))))) in im
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))))) in re
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))))) in re
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) in im
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))
* [misc]approximate:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))))) in im
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))))) in re
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))))) in re
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))
* [misc]taylor:  Taking taylor expansion of (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) in im
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))
* [misc]backup-simplify:  Simplify (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))
* [misc]approximate:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in im
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]taylor:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in re
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]taylor:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in re
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]taylor:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) in im
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]approximate:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in im
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) into (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* [misc]taylor:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in re
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) into (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* [misc]taylor:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) in re
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))))) into (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* [misc]taylor:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) in im
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* [misc]approximate:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in im
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) into (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))
* [misc]taylor:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in re
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) into (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))
* [misc]taylor:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) in re
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))))) into (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))
* [misc]taylor:  Taking taylor expansion of (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) in im
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))
* [misc]backup-simplify:  Simplify (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))
* * * [misc]progress:  tayloring alt 4 of 11
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]approximate:  Taking taylor expansion of (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (hypot re im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (hypot re im))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (hypot re im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (hypot re im))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (hypot re im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (hypot re im))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (hypot re im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [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 (hypot re im) into (hypot re im)
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [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 (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [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 (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot re im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in im
* [misc]backup-simplify:  Simplify (cbrt (hypot re im)) into (cbrt (hypot re im))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]backup-simplify:  Simplify (cbrt (hypot re im)) into (cbrt (hypot re im))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]backup-simplify:  Simplify (cbrt (hypot re im)) into (cbrt (hypot re im))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in im
* [misc]backup-simplify:  Simplify (cbrt (hypot re im)) into (cbrt (hypot re im))
* [misc]backup-simplify:  Simplify (cbrt (hypot re im)) into (cbrt (hypot re im))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (hypot re im)) into (cbrt (hypot re im))
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]backup-simplify:  Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (cbrt (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]backup-simplify:  Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (cbrt (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]backup-simplify:  Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (cbrt (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]backup-simplify:  Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (cbrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (cbrt (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (cbrt (hypot (/ 1 re) (/ 1 im)))
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]backup-simplify:  Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (cbrt (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]backup-simplify:  Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (cbrt (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]backup-simplify:  Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (cbrt (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ -1 re) (/ -1 im))) in im
* [misc]backup-simplify:  Simplify (cbrt (hypot (/ -1 re) (/ -1 im))) into (cbrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (cbrt (hypot (/ -1 re) (/ -1 im))) into (cbrt (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (hypot (/ -1 re) (/ -1 im))) into (cbrt (hypot (/ -1 re) (/ -1 im)))
* * * [misc]progress:  tayloring alt 5 of 11
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]approximate:  Taking taylor expansion of (exp (log (sqrt (hypot re im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot re im))) into (log (sqrt (hypot re im)))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot re im)))) into (sqrt (hypot re im))
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot re im))) into (log (sqrt (hypot re im)))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot re im)))) into (sqrt (hypot re im))
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot re im))) into (log (sqrt (hypot re im)))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot re im)))) into (sqrt (hypot re im))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (hypot re im)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot re im)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (hypot re im)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (hypot re im)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot re im)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (hypot re im)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (hypot re im)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (hypot re im)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot re im)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]approximate:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot (/ 1 re) (/ 1 im)))) into (log (sqrt (hypot (/ 1 re) (/ 1 im))))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot (/ 1 re) (/ 1 im)))) into (log (sqrt (hypot (/ 1 re) (/ 1 im))))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot (/ 1 re) (/ 1 im)))) into (log (sqrt (hypot (/ 1 re) (/ 1 im))))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (hypot (/ 1 re) (/ 1 im))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (hypot (/ 1 re) (/ 1 im))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (hypot (/ 1 re) (/ 1 im))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (hypot (/ 1 re) (/ 1 im))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (hypot (/ 1 re) (/ 1 im))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (hypot (/ 1 re) (/ 1 im))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]approximate:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot (/ -1 re) (/ -1 im)))) into (log (sqrt (hypot (/ -1 re) (/ -1 im))))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot (/ -1 re) (/ -1 im))))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot (/ -1 re) (/ -1 im)))) into (log (sqrt (hypot (/ -1 re) (/ -1 im))))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot (/ -1 re) (/ -1 im))))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot (/ -1 re) (/ -1 im)))) into (log (sqrt (hypot (/ -1 re) (/ -1 im))))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot (/ -1 re) (/ -1 im))))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (hypot (/ -1 re) (/ -1 im))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot (/ -1 re) (/ -1 im))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (hypot (/ -1 re) (/ -1 im))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (hypot (/ -1 re) (/ -1 im))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot (/ -1 re) (/ -1 im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (hypot (/ -1 re) (/ -1 im))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (hypot (/ -1 re) (/ -1 im))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (hypot (/ -1 re) (/ -1 im))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot (/ -1 re) (/ -1 im))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]approximate:  Taking taylor expansion of (sqr (exp (log (sqrt (hypot re im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (exp (log (sqrt (hypot re im))))) in im
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot re im))) into (log (sqrt (hypot re im)))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot re im)))) into (sqrt (hypot re im))
* [misc]taylor:  Taking taylor expansion of (sqr (exp (log (sqrt (hypot re im))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot re im))) into (log (sqrt (hypot re im)))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot re im)))) into (sqrt (hypot re im))
* [misc]taylor:  Taking taylor expansion of (sqr (exp (log (sqrt (hypot re im))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot re im))) into (log (sqrt (hypot re im)))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot re im)))) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (hypot re im)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot re im)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (* 0 (sqrt (hypot re 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (hypot re im)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (hypot re im)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot re im)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (+ (* 0 0) (* 0 (sqrt (hypot re 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (hypot re im)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (hypot re im)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (hypot re im)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot re im)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot re 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 (hypot re im) into (hypot re im)
* [misc]approximate:  Taking taylor expansion of (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) in im
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot (/ 1 re) (/ 1 im)))) into (log (sqrt (hypot (/ 1 re) (/ 1 im))))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot (/ 1 re) (/ 1 im)))) into (log (sqrt (hypot (/ 1 re) (/ 1 im))))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (sqr (exp (log (sqrt (hypot (/ 1 re) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot (/ 1 re) (/ 1 im)))) into (log (sqrt (hypot (/ 1 re) (/ 1 im))))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (hypot (/ 1 re) (/ 1 im))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (hypot (/ 1 re) (/ 1 im))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (hypot (/ 1 re) (/ 1 im))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (hypot (/ 1 re) (/ 1 im))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (hypot (/ 1 re) (/ 1 im))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (hypot (/ 1 re) (/ 1 im))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot (/ 1 re) (/ 1 im))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]approximate:  Taking taylor expansion of (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in im
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot (/ -1 re) (/ -1 im)))) into (log (sqrt (hypot (/ -1 re) (/ -1 im))))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot (/ -1 re) (/ -1 im))))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot (/ -1 re) (/ -1 im)))) into (log (sqrt (hypot (/ -1 re) (/ -1 im))))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot (/ -1 re) (/ -1 im))))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (sqr (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (exp (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (log (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (hypot (/ -1 re) (/ -1 im)))) into (log (sqrt (hypot (/ -1 re) (/ -1 im))))
* [misc]backup-simplify:  Simplify (exp (log (sqrt (hypot (/ -1 re) (/ -1 im))))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (hypot (/ -1 re) (/ -1 im))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot (/ -1 re) (/ -1 im))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (hypot (/ -1 re) (/ -1 im))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (hypot (/ -1 re) (/ -1 im))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot (/ -1 re) (/ -1 im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (hypot (/ -1 re) (/ -1 im))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (hypot (/ -1 re) (/ -1 im))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (hypot (/ -1 re) (/ -1 im))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (* (exp (log (sqrt (hypot (/ -1 re) (/ -1 im))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* * * [misc]progress:  tayloring alt 6 of 11
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]approximate:  Taking taylor expansion of (hypot re im) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [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 (hypot re im) into (hypot re im)
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [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 (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [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 (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]approximate:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re
* [misc]taylor:  Taking taylor expansion of 0.5 in re
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in re
* [misc]taylor:  Taking taylor expansion of 0.5 in re
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (+ (* 0.5 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) into (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]approximate:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of 0.5 in re
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of 0.5 in re
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]approximate:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of 0.5 in re
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of 0.5 in re
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (+ (* 0.5 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))) into (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * * [misc]progress:  tayloring alt 7 of 11
* [misc]approximate:  Taking taylor expansion of (cbrt (cube (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))) in im
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))))) in im
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))))) in im
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))))) in re
* [misc]backup-simplify:  Simplify (cbrt (cube (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (hypot re im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (* 0 (sqrt (hypot re 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (+ (* 0 0) (* 0 (sqrt (hypot re 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot re 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 (hypot re im) into (hypot re im)
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* * * [misc]progress:  tayloring alt 8 of 11
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr re) (sqr im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (sqr im))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (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 (* re re) into (sqr re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr re) 0) into (sqr re)
* [misc]backup-simplify:  Simplify (sqrt (sqr re)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (sqr im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (sqr im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr re) (sqr im))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (sqr im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]backup-simplify:  Simplify (sqrt (sqr im)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr im)))) into 0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 im) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (sqr (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (sqr (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (sqr (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (sqr im)) (sqr 0) (+)) (* 2 1)) into (/ 1/2 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqr im)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)) into (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))) into (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)) into (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))) into (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)) into (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))) into (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re)) into (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))) into (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))) into (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 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 (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))) into (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))) into (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))) into (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))) into (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re)) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))) into (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))) into (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 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 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))) into (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))) into (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))) into (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))) into (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re)) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))) into (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))) into (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 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 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))) into (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re)))
* [misc]approximate:  Taking taylor expansion of (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)) into (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)) into (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)) into (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re)) into (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re)) into (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (+ (sqr im) (sqr re))) 2.0 (* 2.0 re)) into (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr (/ 1 re)) (sqr (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re)) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re)) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re)) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re)) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re)) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re)) into (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))
* [misc]approximate:  Taking taylor expansion of (+ (sqr re) (sqr im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (sqr im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of (+ (sqr re) (sqr im)) in re
* [misc]taylor:  Taking taylor expansion of (sqr re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (sqr im)
* [misc]backup-simplify:  Simplify (+ 0 (sqr im)) into (sqr im)
* [misc]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 (+ (* im 0) (* 0 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 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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (* im 1))) (* 1 (sqr (* 1 re)))) into (+ (sqr im) (sqr re))
* [misc]approximate:  Taking taylor expansion of (+ (sqr (/ 1 re)) (sqr (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (sqr (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (sqr (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 re)) (sqr (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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) (* 0 (/ 1 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 re))))) (* 1 (sqr (* (/ 1 (/ 1 im)) 1)))) into (+ (sqr im) (sqr re))
* [misc]approximate:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (/ 1 (- re))) (sqr (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (sqr im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr im))) into (/ 1 (sqr im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr im)) in im
* [misc]taylor:  Taking taylor expansion of (sqr im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 (+ (* (/ -1 im) 0) (* 0 (/ -1 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- re)))))) (* 1 (sqr (* (/ 1 (/ 1 (- im))) 1)))) into (+ (sqr im) (sqr re))
* * * [misc]progress:  tayloring alt 9 of 11
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (hypot re im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (* 0 (sqrt (hypot re 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (+ (* 0 0) (* 0 (sqrt (hypot re 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot re 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 (hypot re im) into (hypot re im)
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [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 (hypot re 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot re 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 (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [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 (hypot (/ 1 re) (/ 1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ 1 re) (/ 1 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 (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [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 (hypot (/ -1 re) (/ -1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ -1 re) (/ -1 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 (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* * * [misc]progress:  tayloring alt 10 of 11
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) into (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 (/ 1 re))) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) 2.0 (* 2.0 (/ 1 (- re)))) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re)) into (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))
* [misc]approximate:  Taking taylor expansion of (sqr (sqr (sqrt (sqrt (hypot re im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqr (sqrt (sqrt (hypot re im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot re im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqr (sqrt (sqrt (hypot re im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot re im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqr (sqrt (sqrt (hypot re im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot re im))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (hypot re im) 1/4) (pow (hypot re im) 1/4)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot re im) 1/4) 0) (* 0 (pow (hypot re im) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (* 0 (sqrt (hypot re 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (hypot re im) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot re im) 1/4) 0) (+ (* 0 0) (* 0 (pow (hypot re im) 1/4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (+ (* 0 0) (* 0 (sqrt (hypot re 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (hypot re im) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot re im) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot re im) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot re im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot re 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 (hypot re im) into (hypot re im)
* [misc]approximate:  Taking taylor expansion of (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (hypot (/ 1 re) (/ 1 im)) 1/4) (pow (hypot (/ 1 re) (/ 1 im)) 1/4)) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 0) (* 0 (pow (hypot (/ 1 re) (/ 1 im)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (hypot (/ 1 re) (/ 1 im)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 0) (+ (* 0 0) (* 0 (pow (hypot (/ 1 re) (/ 1 im)) 1/4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (hypot (/ 1 re) (/ 1 im)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot (/ 1 re) (/ 1 im)) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ 1 re) (/ 1 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 (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]approximate:  Taking taylor expansion of (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in im
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot (/ -1 re) (/ -1 im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot (/ -1 re) (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot (/ -1 re) (/ -1 im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot (/ -1 re) (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot (/ -1 re) (/ -1 im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot (/ -1 re) (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (hypot (/ -1 re) (/ -1 im)) 1/4) (pow (hypot (/ -1 re) (/ -1 im)) 1/4)) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) into (hypot (/ -1 re) (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 0) (* 0 (pow (hypot (/ -1 re) (/ -1 im)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (hypot (/ -1 re) (/ -1 im)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 0) (+ (* 0 0) (* 0 (pow (hypot (/ -1 re) (/ -1 im)) 1/4)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (hypot (/ -1 re) (/ -1 im)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot (/ -1 re) (/ -1 im)) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (/ -1 re) (/ -1 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 (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot re im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot re im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot re im))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot re im))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (hypot re im) 1/4) (pow (hypot re im) 1/4)) into (sqrt (hypot re im))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot re im) 1/4) 0) (* 0 (pow (hypot re im) 1/4))) 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 (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (hypot re im) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot re im) 1/4) 0) (+ (* 0 0) (* 0 (pow (hypot re im) 1/4)))) 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 (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot re im)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (hypot re im) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot re im) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot re im) 1/4))))) 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 (hypot re im)) into (sqrt (hypot re im))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (hypot (/ 1 re) (/ 1 im)) 1/4) (pow (hypot (/ 1 re) (/ 1 im)) 1/4)) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 0) (* 0 (pow (hypot (/ 1 re) (/ 1 im)) 1/4))) 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 (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (hypot (/ 1 re) (/ 1 im)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 0) (+ (* 0 0) (* 0 (pow (hypot (/ 1 re) (/ 1 im)) 1/4)))) 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 (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ 1 re) (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (hypot (/ 1 re) (/ 1 im)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot (/ 1 re) (/ 1 im)) 1/4))))) 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 (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot (/ -1 re) (/ -1 im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot (/ -1 re) (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot (/ -1 re) (/ -1 im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot (/ -1 re) (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (hypot (/ -1 re) (/ -1 im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (hypot (/ -1 re) (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (hypot (/ -1 re) (/ -1 im)) 1/4) (pow (hypot (/ -1 re) (/ -1 im)) 1/4)) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ -1 re) (/ -1 im)) into (hypot (/ -1 re) (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 0) (* 0 (pow (hypot (/ -1 re) (/ -1 im)) 1/4))) 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 (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (hypot (/ -1 re) (/ -1 im)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 0) (+ (* 0 0) (* 0 (pow (hypot (/ -1 re) (/ -1 im)) 1/4)))) 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 (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (/ -1 re) (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (hypot (/ -1 re) (/ -1 im)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot (/ -1 re) (/ -1 im)) 1/4))))) 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 (hypot (/ -1 re) (/ -1 im))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
* * * [misc]progress:  tayloring alt 11 of 11
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re))) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re))) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re))) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re)))) into (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re)))) into (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re)))) into (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))
* [misc]taylor:  Taking taylor expansion of (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re)) into (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))
* [misc]backup-simplify:  Simplify (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re)) into (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re)) into (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)) into (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 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 (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))) into (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re))) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re))) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) 2.0 (/ 2.0 (/ 1 re))) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* 2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot re im) 2.0 (* 2.0 re)) into (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 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 (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) into (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re)))) into (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))) into (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re)))) into (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))) into (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (fma (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) 2.0 (/ 2.0 (/ 1 (- re)))) into (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))) into (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re)) in im
* [misc]backup-simplify:  Simplify (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re)) into (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))) into (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))) into (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re)))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 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 (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))) into (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re)))
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]backup-simplify:  Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [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 (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (/ 1 re)) (/ 1 (/ 1 im))) into (hypot re im)
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [misc]backup-simplify:  Simplify (hypot re im) into (hypot re im)
* [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 (hypot re im) into (hypot re im)
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) in im
* [misc]backup-simplify:  Simplify (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) into (hypot (* -1 re) (* -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) into (hypot (* -1 re) (* -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) in re
* [misc]backup-simplify:  Simplify (hypot (/ 1 (/ 1 (- re))) (/ 1 (/ 1 (- im)))) into (hypot (* -1 re) (* -1 im))
* [misc]taylor:  Taking taylor expansion of (hypot (* -1 re) (* -1 im)) in im
* [misc]backup-simplify:  Simplify (hypot (* -1 re) (* -1 im)) into (hypot (* -1 re) (* -1 im))
* [misc]backup-simplify:  Simplify (hypot (* -1 re) (* -1 im)) into (hypot (* -1 re) (* -1 im))
* [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 (hypot (* -1 re) (* -1 im)) into (hypot (* -1 re) (* -1 im))
* * * [misc]progress:  simplifying alt 1 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 2 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 3 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot (/ -1 re) (/ -1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 4 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 5 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 6 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 7 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 8 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 9 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 10 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 11 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (cbrt (cube (sqrt (hypot (/ 1 re) (/ 1 im)))))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 12 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (cbrt (cube (sqrt (hypot (/ -1 re) (/ -1 im)))))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 13 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 14 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 15 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 16 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 17 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 18 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 19 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 20 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 21 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 22 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 23 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (cbrt (cube (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 24 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (cbrt (cube (hypot (/ -1 re) (/ -1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 25 of 129
* [enter]simplify:  Simplifying (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 26 of 129
* [enter]simplify:  Simplifying (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 27 of 129
* [enter]simplify:  Simplifying (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 28 of 129
* [enter]simplify:  Simplifying (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 29 of 129
* [enter]simplify:  Simplifying (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 30 of 129
* [enter]simplify:  Simplifying (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 31 of 129
* [enter]simplify:  Simplifying (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 32 of 129
* [enter]simplify:  Simplifying (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 33 of 129
* [enter]simplify:  Simplifying (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 34 of 129
* [enter]simplify:  Simplifying (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 35 of 129
* [enter]simplify:  Simplifying (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 36 of 129
* [enter]simplify:  Simplifying (expm1 (log1p (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 37 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 38 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 39 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 40 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 41 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 42 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 43 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 44 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 45 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 46 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 47 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (cube (cbrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 48 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (cube (cbrt (hypot (/ -1 re) (/ -1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 49 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 50 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 51 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 52 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 53 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 54 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 55 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 56 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 57 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot (/ -1 re) (/ -1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 58 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 59 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 60 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 61 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 62 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 63 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 64 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 65 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 66 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 67 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 68 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 69 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 70 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 71 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 72 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 73 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 74 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 75 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 76 of 129
* [enter]simplify:  Simplifying (* 0.5 (cbrt (cube (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 77 of 129
* [enter]simplify:  Simplifying (* 0.5 (cbrt (cube (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 78 of 129
* [enter]simplify:  Simplifying (* 0.5 (cbrt (cube (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 79 of 129
* [enter]simplify:  Simplifying (* 0.5 (cbrt (cube (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 80 of 129
* [enter]simplify:  Simplifying (* 0.5 (cbrt (cube (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 81 of 129
* [enter]simplify:  Simplifying (* 0.5 (cbrt (cube (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))))
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 82 of 129
* [enter]simplify:  Simplifying (* 0.5 (cbrt (cube (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 83 of 129
* [enter]simplify:  Simplifying (* 0.5 (cbrt (cube (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 84 of 129
* [enter]simplify:  Simplifying (* 0.5 (cbrt (cube (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 85 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma im 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma im 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma im 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 86 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma re 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma re 2.0 (* re 2.0))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma re 2.0 (* re 2.0)))))
* * * [misc]progress:  simplifying alt 87 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (* -1 re) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (- re) 2.0 (* 2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (- re) 2.0 (* 2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 88 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot im re) 2.0 (* re 2.0))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot im re) 2.0 (* re 2.0)))))
* * * [misc]progress:  simplifying alt 89 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (sqrt (+ (/ (/ 1 re) re) (/ 1 (* im im)))) 2.0 (/ 2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (sqrt (+ (/ (/ 1 re) re) (/ 1 (* im im)))) 2.0 (/ 2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 90 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (sqrt (+ (/ 1 (* re re)) (/ (/ 1 im) im))) 2.0 (/ -2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (sqrt (+ (/ 1 (* re re)) (/ (/ 1 im) im))) 2.0 (/ -2.0 re)))))
* * * [misc]progress:  simplifying alt 91 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot im re) 2.0 (* re 2.0))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot im re) 2.0 (* re 2.0)))))
* * * [misc]progress:  simplifying alt 92 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (sqrt (+ (/ (/ 1 re) re) (/ 1 (* im im)))) 2.0 (/ 2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (sqrt (+ (/ (/ 1 re) re) (/ 1 (* im im)))) 2.0 (/ 2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 93 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqrt (+ (/ 1 (sqr im)) (/ 1 (sqr re)))) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (sqrt (+ (/ 1 (* re re)) (/ (/ 1 im) im))) 2.0 (/ -2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (sqrt (+ (/ 1 (* re re)) (/ (/ 1 im) im))) 2.0 (/ -2.0 re)))))
* * * [misc]progress:  simplifying alt 94 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot im re) 2.0 (* re 2.0))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot im re) 2.0 (* re 2.0)))))
* * * [misc]progress:  simplifying alt 95 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot im re) 2.0 (* re 2.0))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot im re) 2.0 (* re 2.0)))))
* * * [misc]progress:  simplifying alt 96 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqrt (+ (sqr im) (sqr re))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot im re) 2.0 (* re 2.0))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot im re) 2.0 (* re 2.0)))))
* * * [misc]progress:  simplifying alt 97 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 98 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 99 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 100 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 101 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 102 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 103 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 104 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 105 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 106 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 107 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 108 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot (/ -1 re) (/ -1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 109 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 110 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 111 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 112 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 113 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 114 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (/ -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 115 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 116 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 117 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 118 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 119 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot (/ 1 re) (/ 1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 120 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (sqr (sqrt (hypot (/ -1 re) (/ -1 im)))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ -1 re) (/ -1 im)) 2.0 (* 2.0 re)))))
* * * [misc]progress:  simplifying alt 121 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 122 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 123 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (- re) (- im)) 2.0 (* -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (- re) (- im)) 2.0 (* -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 124 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 125 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* * * [misc]progress:  simplifying alt 126 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (* -2.0 re))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (- re) (- im)) 2.0 (* -2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot (- re) (- im)) 2.0 (* -2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 127 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))
* * * [misc]progress:  simplifying alt 128 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (/ 2.0 re))) 0.5)
* [misc]none:  prog is (λ (re im) (* (sqrt (fma (hypot re im) 2.0 (/ 2.0 re))) 0.5))
* * * [misc]progress:  simplifying alt 129 of 129
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (* -1 re) (* -1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (- re) (- im)) 2.0 (/ 2.0 re))))
* [misc]none:  prog is (λ (re im) (* 0.5 (sqrt (fma (hypot (- re) (- im)) 2.0 (/ 2.0 re)))))
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (cbrt (cube (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (cbrt (cube (hypot re im))) 2.0 (* 2.0 re)))))> #<alt-event (λ (re im) (* (sqrt (fma (sqrt (+ (/ (/ 1 re) re) (/ 1 (* im im)))) 2.0 (/ 2.0 re))) 0.5))> #<alt-delta (λ (re im) (expm1 (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (cube (cbrt (hypot re im))) 2.0 (* 2.0 re)))))> #<alt-event (λ (re im) (* (sqrt (fma (hypot (- re) (- im)) 2.0 (* -2.0 re))) 0.5))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (exp (log (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))> #<alt-delta (λ (re im) (* 0.5 (cbrt (cube (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqrt (+ (sqr re) (sqr im))) 2.0 (* 2.0 re)))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re)))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma (sqr (sqr (sqrt (sqrt (hypot re im))))) 2.0 (* 2.0 re)))))> #<alt-event (λ (re im) (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re)))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 im +inf.0)) , with alts (#<alt-delta (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))>)
* [enter]simplify:  Simplifying (cube (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (hypot re im))
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (hypot re im))
* [enter]simplify:  Simplifying (cube (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (cube (hypot re im))
* [exit]simplify:  Simplified to (cube (hypot re im))
* [enter]simplify:  Simplifying (* (sqrt (fma (sqrt (+ (/ (/ 1 re) re) (/ 1 (* im im)))) 2.0 (/ 2.0 re))) 0.5)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (sqrt (+ (/ (/ 1 im) im) (/ (/ 1 re) re))) 2.0 (/ 2.0 re))))
* [enter]simplify:  Simplifying (log1p (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log1p (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* [exit]simplify:  Simplified to (log1p (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5))
* [enter]simplify:  Simplifying (cbrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* [enter]simplify:  Simplifying (* (sqrt (fma (hypot (- re) (- im)) 2.0 (* -2.0 re))) 0.5)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot (- re) (- im)) 2.0 (* re -2.0))) 0.5)
* [enter]simplify:  Simplifying (log (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (log (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (log (sqrt (hypot re im)))
* [enter]simplify:  Simplifying (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* [enter]simplify:  Simplifying (cube (sqrt (fma (sqr (sqrt (hypot re im))) 2.0 (* 2.0 re))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [enter]simplify:  Simplifying (+ (sqr re) (sqr im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (fma im im (sqr re))
* [exit]simplify:  Simplified to (fma im im (sqr re))
* [enter]simplify:  Simplifying (sqrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot re im)))
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (/ 2.0 re))))