* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (atan2 im re)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-event (λ (re im) (atan2 im re))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 im re) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 12 ] simplifiying candidate #<alt-event (λ (re im) (atan2 im re))>
* [enter]simplify:  Simplifying (atan2 im re)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* * * * [misc]progress:  [ 2 / 12 ] simplifiying candidate #<alt-event (λ (re im) (atan2 (/ 1 im) (/ 1 re)))>
* [enter]simplify:  Simplifying (atan2 (/ 1 im) (/ 1 re))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* * * * [misc]progress:  [ 3 / 12 ] simplifiying candidate #<alt-event (λ (re im) (atan2 (/ -1 im) (/ -1 re)))>
* [enter]simplify:  Simplifying (atan2 (/ -1 im) (/ -1 re))
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* * * * [misc]progress:  [ 4 / 12 ] simplifiying candidate #<alt-delta (λ (re im) (log1p (expm1 (atan2 im re))))>
* [enter]simplify:  Simplifying (expm1 (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (expm1 (atan2 im re))
* [exit]simplify:  Simplified to (expm1 (atan2 im re))
* * * * [misc]progress:  [ 5 / 12 ] simplifiying candidate #<alt-delta (λ (re im) (expm1 (log1p (atan2 im re))))>
* [enter]simplify:  Simplifying (log1p (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (log1p (atan2 im re))
* [exit]simplify:  Simplified to (log1p (atan2 im re))
* * * * [misc]progress:  [ 6 / 12 ] simplifiying candidate #<alt-delta (λ (re im) (pow (atan2 im re) 1))>
* * * * [misc]progress:  [ 7 / 12 ] simplifiying candidate #<alt-delta (λ (re im) (exp (log (atan2 im re))))>
* [enter]simplify:  Simplifying (log (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (log (atan2 im re))
* [exit]simplify:  Simplified to (log (atan2 im re))
* * * * [misc]progress:  [ 8 / 12 ] simplifiying candidate #<alt-delta (λ (re im) (log (exp (atan2 im re))))>
* [enter]simplify:  Simplifying (exp (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (exp (atan2 im re))
* [exit]simplify:  Simplified to (exp (atan2 im re))
* * * * [misc]progress:  [ 9 / 12 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (atan2 im re))))>
* [enter]simplify:  Simplifying (cbrt (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 im re))
* [exit]simplify:  Simplified to (cbrt (atan2 im re))
* * * * [misc]progress:  [ 10 / 12 ] simplifiying candidate #<alt-delta (λ (re im) (cbrt (cube (atan2 im re))))>
* [enter]simplify:  Simplifying (cube (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (cube (atan2 im re))
* [exit]simplify:  Simplified to (cube (atan2 im re))
* * * * [misc]progress:  [ 11 / 12 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (atan2 im re))))>
* [enter]simplify:  Simplifying (sqrt (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 im re))
* [exit]simplify:  Simplified to (sqrt (atan2 im re))
* * * * [misc]progress:  [ 12 / 12 ] simplifiying candidate #<alt-delta (λ (re im) (* 1 (atan2 im re)))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (re im) (cube (cbrt (atan2 im re))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (atan2 im re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 im re)) in re
* [misc]backup-simplify:  Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 im re)) in im
* [misc]backup-simplify:  Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 im re)) in im
* [misc]backup-simplify:  Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 im re)) in re
* [misc]backup-simplify:  Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re))
* [misc]backup-simplify:  Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re))
* [misc]approximate:  Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]approximate:  Taking taylor expansion of (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) into (cbrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) into (cbrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) into (cbrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ -1 im) (/ -1 re))) in re
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ -1 im) (/ -1 re))) into (cbrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ -1 im) (/ -1 re))) into (cbrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ -1 im) (/ -1 re))) into (cbrt (atan2 (/ -1 im) (/ -1 re)))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (atan2 im re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 im re))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 im re))) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 im re))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 im re))) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 im re))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 im re))) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (atan2 im re) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 42 ] simplifiying candidate #<alt-event (λ (re im) (cube (cbrt (atan2 im re))))>
* [enter]simplify:  Simplifying (cube (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* * * * [misc]progress:  [ 2 / 42 ] simplifiying candidate #<alt-event (λ (re im) (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))))>
* [enter]simplify:  Simplifying (cube (cbrt (atan2 (/ 1 im) (/ 1 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* * * * [misc]progress:  [ 3 / 42 ] simplifiying candidate #<alt-event (λ (re im) (cube (cbrt (atan2 (/ -1 im) (/ -1 re)))))>
* [enter]simplify:  Simplifying (cube (cbrt (atan2 (/ -1 im) (/ -1 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* * * * [misc]progress:  [ 4 / 42 ] simplifiying candidate #<alt-event (λ (re im) (atan2 im re))>
* [enter]simplify:  Simplifying (atan2 im re)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* * * * [misc]progress:  [ 5 / 42 ] simplifiying candidate #<alt-event (λ (re im) (atan2 (/ 1 im) (/ 1 re)))>
* [enter]simplify:  Simplifying (atan2 (/ 1 im) (/ 1 re))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* * * * [misc]progress:  [ 6 / 42 ] simplifiying candidate #<alt-event (λ (re im) (atan2 (/ -1 im) (/ -1 re)))>
* [enter]simplify:  Simplifying (atan2 (/ -1 im) (/ -1 re))
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* * * * [misc]progress:  [ 7 / 42 ] simplifiying candidate #<alt-event (λ (re im) (cube (cbrt (atan2 im re))))>
* [enter]simplify:  Simplifying (cube (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* * * * [misc]progress:  [ 8 / 42 ] simplifiying candidate #<alt-event (λ (re im) (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))))>
* [enter]simplify:  Simplifying (cube (cbrt (atan2 (/ 1 im) (/ 1 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* * * * [misc]progress:  [ 9 / 42 ] simplifiying candidate #<alt-event (λ (re im) (cube (cbrt (atan2 (/ -1 im) (/ -1 re)))))>
* [enter]simplify:  Simplifying (cube (cbrt (atan2 (/ -1 im) (/ -1 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* * * * [misc]progress:  [ 10 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (log1p (expm1 (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (expm1 (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (expm1 (cbrt (atan2 im re)))
* [exit]simplify:  Simplified to (expm1 (cbrt (atan2 im re)))
* * * * [misc]progress:  [ 11 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (expm1 (log1p (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (log1p (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (log1p (cbrt (atan2 im re)))
* [exit]simplify:  Simplified to (log1p (cbrt (atan2 im re)))
* * * * [misc]progress:  [ 12 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (pow (atan2 im re) 1/3)))>
* * * * [misc]progress:  [ 13 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (pow (cbrt (atan2 im re)) 1)))>
* * * * [misc]progress:  [ 14 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (exp (log (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (log (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (log (cbrt (atan2 im re)))
* [exit]simplify:  Simplified to (log (cbrt (atan2 im re)))
* * * * [misc]progress:  [ 15 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (log (exp (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (exp (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (exp (cbrt (atan2 im re)))
* [exit]simplify:  Simplified to (exp (cbrt (atan2 im re)))
* * * * [misc]progress:  [ 16 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (* (cbrt 1) (cbrt (atan2 im re)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [exit]simplify:  Simplified to (cbrt 1)
* [enter]simplify:  Simplifying (cbrt (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 im re))
* [exit]simplify:  Simplified to (cbrt (atan2 im re))
* * * * [misc]progress:  [ 17 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cube (cbrt (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (atan2 im re)))
* [exit]simplify:  Simplified to (cbrt (cbrt (atan2 im re)))
* * * * [misc]progress:  [ 18 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (cube (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (cube (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* [exit]simplify:  Simplified to (atan2 im re)
* * * * [misc]progress:  [ 19 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (sqr (sqrt (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 im re)))
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 im re)))
* * * * [misc]progress:  [ 20 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (* 1 (cbrt (atan2 im re)))))>
* * * * [misc]progress:  [ 21 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (log1p (expm1 (cube (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (expm1 (cube (cbrt (atan2 im re))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (expm1 (atan2 im re))
* [exit]simplify:  Simplified to (expm1 (atan2 im re))
* * * * [misc]progress:  [ 22 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (expm1 (log1p (cube (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (log1p (cube (cbrt (atan2 im re))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (log1p (atan2 im re))
* [exit]simplify:  Simplified to (log1p (atan2 im re))
* * * * [misc]progress:  [ 23 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (pow (cbrt (atan2 im re)) 3))>
* * * * [misc]progress:  [ 24 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (pow (cube (cbrt (atan2 im re))) 1))>
* * * * [misc]progress:  [ 25 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (exp (log (cube (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (log (cube (cbrt (atan2 im re))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (15 enodes)
* [exit]simplify:  Simplified to (log (atan2 im re))
* [exit]simplify:  Simplified to (log (atan2 im re))
* * * * [misc]progress:  [ 26 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (log (exp (cube (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (exp (cube (cbrt (atan2 im re))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (exp (atan2 im re))
* [exit]simplify:  Simplified to (exp (atan2 im re))
* * * * [misc]progress:  [ 27 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (cube (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (cbrt (cube (cbrt (atan2 im re))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 im re))
* [exit]simplify:  Simplified to (cbrt (atan2 im re))
* * * * [misc]progress:  [ 28 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cbrt (cube (cube (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (cube (cube (cbrt (atan2 im re))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (cube (atan2 im re))
* [exit]simplify:  Simplified to (cube (atan2 im re))
* * * * [misc]progress:  [ 29 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (* (cube (cbrt 1)) (cube (cbrt (atan2 im re)))))>
* [enter]simplify:  Simplifying (cube (cbrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (cube (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* [exit]simplify:  Simplified to (atan2 im re)
* * * * [misc]progress:  [ 30 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (* (cube 1) (cube (cbrt (atan2 im re)))))>
* [enter]simplify:  Simplifying (cube 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cube 1)
* [exit]simplify:  Simplified to (cube 1)
* [enter]simplify:  Simplifying (cube (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* [exit]simplify:  Simplified to (atan2 im re)
* * * * [misc]progress:  [ 31 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (* (cbrt (atan2 im re)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))))>
* [enter]simplify:  Simplifying (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))
* [exit]simplify:  Simplified to (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))
* * * * [misc]progress:  [ 32 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (cube (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (sqrt (cube (cbrt (atan2 im re))))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 im re))
* [exit]simplify:  Simplified to (sqrt (atan2 im re))
* * * * [misc]progress:  [ 33 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (* 1 (cube (cbrt (atan2 im re)))))>
* * * * [misc]progress:  [ 34 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (log1p (expm1 (atan2 im re))))))>
* [enter]simplify:  Simplifying (expm1 (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (expm1 (atan2 im re))
* [exit]simplify:  Simplified to (expm1 (atan2 im re))
* * * * [misc]progress:  [ 35 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (expm1 (log1p (atan2 im re))))))>
* [enter]simplify:  Simplifying (log1p (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (log1p (atan2 im re))
* [exit]simplify:  Simplified to (log1p (atan2 im re))
* * * * [misc]progress:  [ 36 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (pow (atan2 im re) 1))))>
* * * * [misc]progress:  [ 37 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (exp (log (atan2 im re))))))>
* [enter]simplify:  Simplifying (log (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (log (atan2 im re))
* [exit]simplify:  Simplified to (log (atan2 im re))
* * * * [misc]progress:  [ 38 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (log (exp (atan2 im re))))))>
* [enter]simplify:  Simplifying (exp (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (exp (atan2 im re))
* [exit]simplify:  Simplified to (exp (atan2 im re))
* * * * [misc]progress:  [ 39 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (cube (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (cbrt (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 im re))
* [exit]simplify:  Simplified to (cbrt (atan2 im re))
* * * * [misc]progress:  [ 40 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (cbrt (cube (atan2 im re))))))>
* [enter]simplify:  Simplifying (cube (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (cube (atan2 im re))
* [exit]simplify:  Simplified to (cube (atan2 im re))
* * * * [misc]progress:  [ 41 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (sqr (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 im re))
* [exit]simplify:  Simplified to (sqrt (atan2 im re))
* * * * [misc]progress:  [ 42 / 42 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (* 1 (atan2 im re)))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (re im) (sqr (sqrt (atan2 im re))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 im re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in re
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in re
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ -1 im) (/ -1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (atan2 im re) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (atan2 im re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 im re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in re
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 im re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 im re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 im re)) (sqrt (atan2 im re))) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 im re)) 0) (* 0 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 im re)) 0) (+ (* 0 0) (* 0 (sqrt (atan2 im re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 im re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 im re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 im) (/ 1 re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 im) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 im) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 im) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 (/ 1 im) (/ 1 re))) (sqrt (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 (/ 1 im) (/ 1 re))) 0) (* 0 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 (/ 1 im) (/ 1 re))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 (/ 1 im) (/ 1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 (/ 1 im) (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 (/ 1 im) (/ 1 re))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 (/ -1 im) (/ -1 re))) (sqrt (atan2 (/ -1 im) (/ -1 re)))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 (/ -1 im) (/ -1 re))) 0) (* 0 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 (/ -1 im) (/ -1 re))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 (/ -1 im) (/ -1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 (/ -1 im) (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 (/ -1 im) (/ -1 re))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 43 ] simplifiying candidate #<alt-event (λ (re im) (sqr (sqrt (atan2 im re))))>
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 im re)))
* * [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 (atan2 im re)
* * * * [misc]progress:  [ 2 / 43 ] simplifiying candidate #<alt-event (λ (re im) (sqr (sqrt (atan2 (/ 1 im) (/ 1 re)))))>
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 (/ 1 im) (/ 1 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* * * * [misc]progress:  [ 3 / 43 ] simplifiying candidate #<alt-event (λ (re im) (sqr (sqrt (atan2 (/ -1 im) (/ -1 re)))))>
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 (/ -1 im) (/ -1 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* * * * [misc]progress:  [ 4 / 43 ] simplifiying candidate #<alt-event (λ (re im) (sqr (sqrt (atan2 im re))))>
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 im re)))
* * [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 (atan2 im re)
* * * * [misc]progress:  [ 5 / 43 ] simplifiying candidate #<alt-event (λ (re im) (sqr (sqrt (atan2 (/ 1 im) (/ 1 re)))))>
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 (/ 1 im) (/ 1 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* * * * [misc]progress:  [ 6 / 43 ] simplifiying candidate #<alt-event (λ (re im) (sqr (sqrt (atan2 (/ -1 im) (/ -1 re)))))>
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 (/ -1 im) (/ -1 re))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* * * * [misc]progress:  [ 7 / 43 ] simplifiying candidate #<alt-event (λ (re im) (atan2 im re))>
* [enter]simplify:  Simplifying (atan2 im re)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* * * * [misc]progress:  [ 8 / 43 ] simplifiying candidate #<alt-event (λ (re im) (atan2 (/ 1 im) (/ 1 re)))>
* [enter]simplify:  Simplifying (atan2 (/ 1 im) (/ 1 re))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* * * * [misc]progress:  [ 9 / 43 ] simplifiying candidate #<alt-event (λ (re im) (atan2 (/ -1 im) (/ -1 re)))>
* [enter]simplify:  Simplifying (atan2 (/ -1 im) (/ -1 re))
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* * * * [misc]progress:  [ 10 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (log1p (expm1 (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (atan2 im re)))
* [exit]simplify:  Simplified to (expm1 (sqrt (atan2 im re)))
* * * * [misc]progress:  [ 11 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (expm1 (log1p (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (log1p (sqrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (atan2 im re)))
* [exit]simplify:  Simplified to (log1p (sqrt (atan2 im re)))
* * * * [misc]progress:  [ 12 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (pow (atan2 im re) 1/2)))>
* * * * [misc]progress:  [ 13 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (pow (sqrt (atan2 im re)) 1)))>
* * * * [misc]progress:  [ 14 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (exp (log (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (log (sqrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (log (sqrt (atan2 im re)))
* [exit]simplify:  Simplified to (log (sqrt (atan2 im re)))
* * * * [misc]progress:  [ 15 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (log (exp (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (exp (sqrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (atan2 im re)))
* [exit]simplify:  Simplified to (exp (sqrt (atan2 im re)))
* * * * [misc]progress:  [ 16 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (cube (cbrt (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 im re)))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 im re)))
* * * * [misc]progress:  [ 17 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (cbrt (cube (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (cube (sqrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 im re)) (atan2 im re))
* [exit]simplify:  Simplified to (* (sqrt (atan2 im re)) (atan2 im re))
* * * * [misc]progress:  [ 18 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (* (sqrt 1) (sqrt (atan2 im re)))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 im re))
* [exit]simplify:  Simplified to (sqrt (atan2 im re))
* * * * [misc]progress:  [ 19 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqr (sqrt (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 im re)))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 im re)))
* * * * [misc]progress:  [ 20 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (fabs (sqrt (atan2 im re)))))>
* * * * [misc]progress:  [ 21 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (* 1 (sqrt (atan2 im re)))))>
* * * * [misc]progress:  [ 22 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (log1p (expm1 (atan2 im re))))))>
* [enter]simplify:  Simplifying (expm1 (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (expm1 (atan2 im re))
* [exit]simplify:  Simplified to (expm1 (atan2 im re))
* * * * [misc]progress:  [ 23 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (expm1 (log1p (atan2 im re))))))>
* [enter]simplify:  Simplifying (log1p (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (log1p (atan2 im re))
* [exit]simplify:  Simplified to (log1p (atan2 im re))
* * * * [misc]progress:  [ 24 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (pow (atan2 im re) 1))))>
* * * * [misc]progress:  [ 25 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (exp (log (atan2 im re))))))>
* [enter]simplify:  Simplifying (log (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (log (atan2 im re))
* [exit]simplify:  Simplified to (log (atan2 im re))
* * * * [misc]progress:  [ 26 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (log (exp (atan2 im re))))))>
* [enter]simplify:  Simplifying (exp (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (exp (atan2 im re))
* [exit]simplify:  Simplified to (exp (atan2 im re))
* * * * [misc]progress:  [ 27 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (cube (cbrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (cbrt (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 im re))
* [exit]simplify:  Simplified to (cbrt (atan2 im re))
* * * * [misc]progress:  [ 28 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (cbrt (cube (atan2 im re))))))>
* [enter]simplify:  Simplifying (cube (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (cube (atan2 im re))
* [exit]simplify:  Simplified to (cube (atan2 im re))
* * * * [misc]progress:  [ 29 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (sqr (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 im re))
* [exit]simplify:  Simplified to (sqrt (atan2 im re))
* * * * [misc]progress:  [ 30 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (* 1 (atan2 im re)))))>
* * * * [misc]progress:  [ 31 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (log1p (expm1 (sqr (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (expm1 (sqr (sqrt (atan2 im re))))
* * [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 (atan2 im re))
* [exit]simplify:  Simplified to (expm1 (atan2 im re))
* * * * [misc]progress:  [ 32 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (expm1 (log1p (sqr (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (log1p (sqr (sqrt (atan2 im re))))
* * [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 (atan2 im re))
* [exit]simplify:  Simplified to (log1p (atan2 im re))
* * * * [misc]progress:  [ 33 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (pow (sqrt (atan2 im re)) 2))>
* * * * [misc]progress:  [ 34 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (pow (sqr (sqrt (atan2 im re))) 1))>
* * * * [misc]progress:  [ 35 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (exp (log (sqr (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (log (sqr (sqrt (atan2 im re))))
* * [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 (atan2 im re))
* [exit]simplify:  Simplified to (log (atan2 im re))
* * * * [misc]progress:  [ 36 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (log (exp (sqr (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (exp (sqr (sqrt (atan2 im re))))
* * [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 (atan2 im re))
* [exit]simplify:  Simplified to (exp (atan2 im re))
* * * * [misc]progress:  [ 37 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (cube (cbrt (sqr (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (cbrt (sqr (sqrt (atan2 im re))))
* * [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 (atan2 im re))
* [exit]simplify:  Simplified to (cbrt (atan2 im re))
* * * * [misc]progress:  [ 38 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (cbrt (cube (sqr (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (cube (sqr (sqrt (atan2 im re))))
* * [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 (atan2 im re))
* [exit]simplify:  Simplified to (cube (atan2 im re))
* * * * [misc]progress:  [ 39 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (sqr (sqrt (sqr (sqrt (atan2 im re))))))>
* [enter]simplify:  Simplifying (sqrt (sqr (sqrt (atan2 im re))))
* * [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 (atan2 im re))
* [exit]simplify:  Simplified to (sqrt (atan2 im re))
* * * * [misc]progress:  [ 40 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqr (sqrt 1)) (sqr (sqrt (atan2 im 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 (atan2 im re)))
* * [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 (atan2 im re)
* [exit]simplify:  Simplified to (atan2 im re)
* * * * [misc]progress:  [ 41 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqr 1) (sqr (sqrt (atan2 im 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 (atan2 im re)))
* * [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 (atan2 im re)
* [exit]simplify:  Simplified to (atan2 im re)
* * * * [misc]progress:  [ 42 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (atan2 im re)) (sqrt (atan2 im re))))>
* * * * [misc]progress:  [ 43 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 1 (sqr (sqrt (atan2 im re)))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  Final touches.
* * * [misc]progress:  tayloring alt 1 of 4
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 im re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in re
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in re
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ -1 im) (/ -1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (atan2 im re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (atan2 im re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 im re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in re
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 im re))) into (pow (atan2 im re) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 im re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (atan2 im re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 im re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 im re))) into (pow (atan2 im re) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 im re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (atan2 im re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 im re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 im re))) into (pow (atan2 im re) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 im re))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (atan2 im re) 1/4) (pow (atan2 im re) 1/4)) into (sqrt (atan2 im re))
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in re
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 im re) 1/4) 0) (* 0 (pow (atan2 im re) 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan2 im re) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 im re) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 im re) 1/4)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 im re) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 im re) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 im re) 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))) into (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))) into (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))) into (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (atan2 (/ 1 im) (/ 1 re)) 1/4) (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 (/ 1 im) (/ 1 re)) 1/4) 0) (* 0 (pow (atan2 (/ 1 im) (/ 1 re)) 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan2 (/ 1 im) (/ 1 re)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 (/ 1 im) (/ 1 re)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 (/ 1 im) (/ 1 re)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 (/ 1 im) (/ 1 re)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 (/ 1 im) (/ 1 re)) 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re)))) into (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re)))) into (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re)))) into (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re)))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (atan2 (/ -1 im) (/ -1 re)) 1/4) (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ -1 im) (/ -1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 (/ -1 im) (/ -1 re)) 1/4) 0) (* 0 (pow (atan2 (/ -1 im) (/ -1 re)) 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan2 (/ -1 im) (/ -1 re)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 (/ -1 im) (/ -1 re)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 (/ -1 im) (/ -1 re)) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 (/ -1 im) (/ -1 re)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 (/ -1 im) (/ -1 re)) 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]approximate:  Taking taylor expansion of (atan2 im re) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (atan2 im re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 im re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in re
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 im re))) into (pow (atan2 im re) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 im re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 im re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 im re))) into (pow (atan2 im re) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 im re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 im re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 im re))) into (pow (atan2 im re) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 im re))))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (atan2 im re) 1/4) in re
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (atan2 im re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (atan2 im re))) in re
* [misc]taylor:  Taking taylor expansion of 1/4 in re
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (atan2 im re)) in re
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (log (atan2 im re)) into (log (atan2 im re))
* [misc]backup-simplify:  Simplify (* 1/4 (log (atan2 im re))) into (* 1/4 (log (atan2 im re)))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (log (atan2 im re)))) into (pow (atan2 im re) 1/4)
* [misc]backup-simplify:  Simplify (pow (atan2 im re) 1/4) into (pow (atan2 im re) 1/4)
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 im re) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (log (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log (atan2 im re)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan2 im re) 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 im re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 im re) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 im re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log (atan2 im re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 im re) 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (atan2 im re) 1/4) into (pow (atan2 im re) 1/4)
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))) into (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))) into (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))) into (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (atan2 (/ 1 im) (/ 1 re)) 1/4) in re
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (atan2 (/ 1 im) (/ 1 re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (atan2 (/ 1 im) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of 1/4 in re
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (log (atan2 (/ 1 im) (/ 1 re))) into (log (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (* 1/4 (log (atan2 (/ 1 im) (/ 1 re)))) into (* 1/4 (log (atan2 (/ 1 im) (/ 1 re))))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (log (atan2 (/ 1 im) (/ 1 re))))) into (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)
* [misc]backup-simplify:  Simplify (pow (atan2 (/ 1 im) (/ 1 re)) 1/4) into (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 (/ 1 im) (/ 1 re)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (log (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log (atan2 (/ 1 im) (/ 1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan2 (/ 1 im) (/ 1 re)) 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 (/ 1 im) (/ 1 re)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 (/ 1 im) (/ 1 re)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 (/ 1 im) (/ 1 re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log (atan2 (/ 1 im) (/ 1 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 (/ 1 im) (/ 1 re)) 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (atan2 (/ 1 im) (/ 1 re)) 1/4) into (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re)))) into (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re)))) into (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re)))) into (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (atan2 (/ -1 im) (/ -1 re)) 1/4) in re
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (atan2 (/ -1 im) (/ -1 re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (atan2 (/ -1 im) (/ -1 re)))) in re
* [misc]taylor:  Taking taylor expansion of 1/4 in re
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (atan2 (/ -1 im) (/ -1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (log (atan2 (/ -1 im) (/ -1 re))) into (log (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (* 1/4 (log (atan2 (/ -1 im) (/ -1 re)))) into (* 1/4 (log (atan2 (/ -1 im) (/ -1 re))))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (log (atan2 (/ -1 im) (/ -1 re))))) into (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)
* [misc]backup-simplify:  Simplify (pow (atan2 (/ -1 im) (/ -1 re)) 1/4) into (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 (/ -1 im) (/ -1 re)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (log (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log (atan2 (/ -1 im) (/ -1 re))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan2 (/ -1 im) (/ -1 re)) 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 (/ -1 im) (/ -1 re)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 (/ -1 im) (/ -1 re)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (atan2 (/ -1 im) (/ -1 re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log (atan2 (/ -1 im) (/ -1 re))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 (/ -1 im) (/ -1 re)) 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (atan2 (/ -1 im) (/ -1 re)) 1/4) into (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)
* * * [misc]progress:  tayloring alt 2 of 4
* [misc]approximate:  Taking taylor expansion of (cbrt (atan2 im re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 im re)) in re
* [misc]backup-simplify:  Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 im re)) in im
* [misc]backup-simplify:  Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 im re)) in im
* [misc]backup-simplify:  Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 im re)) in re
* [misc]backup-simplify:  Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re))
* [misc]backup-simplify:  Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (atan2 im re)) into (cbrt (atan2 im re))
* [misc]approximate:  Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 im) (/ 1 re))) into (cbrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]approximate:  Taking taylor expansion of (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in re
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) into (cbrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) into (cbrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) into (cbrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 (/ -1 im) (/ -1 re))) in re
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ -1 im) (/ -1 re))) into (cbrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ -1 im) (/ -1 re))) into (cbrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (atan2 (/ -1 im) (/ -1 re))) into (cbrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (atan2 im re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 im re))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 im re))) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 im re))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 im re))) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 im re))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 im re))) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in re
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im
* [misc]backup-simplify:  Simplify (cube (cbrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]approximate:  Taking taylor expansion of (atan2 im re) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* * * [misc]progress:  tayloring alt 3 of 4
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 im re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in re
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in re
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ -1 im) (/ -1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]approximate:  Taking taylor expansion of (atan2 im re) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (atan2 im re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 im re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in re
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 im re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 im re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 im re)) in im
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (sqrt (atan2 im re)) into (sqrt (atan2 im re))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 im re)) (sqrt (atan2 im re))) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 im re)) 0) (* 0 (sqrt (atan2 im re)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 im re)) 0) (+ (* 0 0) (* 0 (sqrt (atan2 im re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 im re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 im re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 im re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 im) (/ 1 re)))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 im) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 im) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 im) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 im) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ 1 im) (/ 1 re))) into (sqrt (atan2 (/ 1 im) (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 (/ 1 im) (/ 1 re))) (sqrt (atan2 (/ 1 im) (/ 1 re)))) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 (/ 1 im) (/ 1 re))) 0) (* 0 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 (/ 1 im) (/ 1 re))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 (/ 1 im) (/ 1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ 1 im) (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 (/ 1 im) (/ 1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 (/ 1 im) (/ 1 re))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 (/ 1 (- im)) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (sqrt (atan2 (/ -1 im) (/ -1 re))) into (sqrt (atan2 (/ -1 im) (/ -1 re)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 (/ -1 im) (/ -1 re))) (sqrt (atan2 (/ -1 im) (/ -1 re)))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 (/ -1 im) (/ -1 re))) 0) (* 0 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 (/ -1 im) (/ -1 re))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 (/ -1 im) (/ -1 re)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ -1 im) (/ -1 re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 (/ -1 im) (/ -1 re))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 (/ -1 im) (/ -1 re))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* * * [misc]progress:  tayloring alt 4 of 4
* [misc]approximate:  Taking taylor expansion of (atan2 im re) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in im
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of (atan2 im re) in re
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 im re) into (atan2 im re)
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ 1 im) (/ 1 re)) into (atan2 (/ 1 im) (/ 1 re))
* [misc]approximate:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in (im re) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in re
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ 1 (- im)) (/ 1 (- re))) in im
* [misc]backup-simplify:  Simplify (atan2 (/ 1 (- im)) (/ 1 (- re))) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 (/ -1 im) (/ -1 re)) into (atan2 (/ -1 im) (/ -1 re))
* * * [misc]progress:  simplifying alt 1 of 33
* [enter]simplify:  Simplifying (sqr (sqr (sqrt (sqrt (atan2 im re)))))
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* [misc]none:  prog is (λ (re im) (atan2 im re))
* * * [misc]progress:  simplifying alt 2 of 33
* [enter]simplify:  Simplifying (sqr (sqr (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re))))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ 1 im) (/ 1 re)))
* * * [misc]progress:  simplifying alt 3 of 33
* [enter]simplify:  Simplifying (sqr (sqr (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re))))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (15 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ -1 im) (/ -1 re)))
* * * [misc]progress:  simplifying alt 4 of 33
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 im re)))
* * [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 (atan2 im re)
* [misc]none:  prog is (λ (re im) (atan2 im re))
* * * [misc]progress:  simplifying alt 5 of 33
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 (/ 1 im) (/ 1 re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ 1 im) (/ 1 re)))
* * * [misc]progress:  simplifying alt 6 of 33
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 (/ -1 im) (/ -1 re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ -1 im) (/ -1 re)))
* * * [misc]progress:  simplifying alt 7 of 33
* [enter]simplify:  Simplifying (sqr (sqr (sqrt (sqrt (atan2 im re)))))
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* [misc]none:  prog is (λ (re im) (atan2 im re))
* * * [misc]progress:  simplifying alt 8 of 33
* [enter]simplify:  Simplifying (sqr (sqr (sqrt (sqrt (atan2 (/ 1 im) (/ 1 re))))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ 1 im) (/ 1 re)))
* * * [misc]progress:  simplifying alt 9 of 33
* [enter]simplify:  Simplifying (sqr (sqr (sqrt (sqrt (atan2 (/ -1 im) (/ -1 re))))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (15 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ -1 im) (/ -1 re)))
* * * [misc]progress:  simplifying alt 10 of 33
* [enter]simplify:  Simplifying (sqr (sqr (pow (atan2 im re) 1/4)))
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (* (* (pow (atan2 im re) 1/4) (pow (atan2 im re) 1/4)) (* (pow (atan2 im re) 1/4) (pow (atan2 im re) 1/4)))
* [misc]none:  prog is (λ (re im) (* (* (pow (atan2 im re) 1/4) (pow (atan2 im re) 1/4)) (* (pow (atan2 im re) 1/4) (pow (atan2 im re) 1/4))))
* * * [misc]progress:  simplifying alt 11 of 33
* [enter]simplify:  Simplifying (sqr (sqr (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (16 enodes)
* [exit]simplify:  Simplified to (* (* (pow (atan2 (/ 1 im) (/ 1 re)) 1/4) (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)) (* (pow (atan2 (/ 1 im) (/ 1 re)) 1/4) (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)))
* [misc]none:  prog is (λ (re im) (* (* (pow (atan2 (/ 1 im) (/ 1 re)) 1/4) (pow (atan2 (/ 1 im) (/ 1 re)) 1/4)) (* (pow (atan2 (/ 1 im) (/ 1 re)) 1/4) (pow (atan2 (/ 1 im) (/ 1 re)) 1/4))))
* * * [misc]progress:  simplifying alt 12 of 33
* [enter]simplify:  Simplifying (sqr (sqr (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (14 enodes)
* [exit]simplify:  Simplified to (* (* (pow (atan2 (/ -1 im) (/ -1 re)) 1/4) (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)) (* (pow (atan2 (/ -1 im) (/ -1 re)) 1/4) (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)))
* [misc]none:  prog is (λ (re im) (* (* (pow (atan2 (/ -1 im) (/ -1 re)) 1/4) (pow (atan2 (/ -1 im) (/ -1 re)) 1/4)) (* (pow (atan2 (/ -1 im) (/ -1 re)) 1/4) (pow (atan2 (/ -1 im) (/ -1 re)) 1/4))))
* * * [misc]progress:  simplifying alt 13 of 33
* [enter]simplify:  Simplifying (cube (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* [misc]none:  prog is (λ (re im) (atan2 im re))
* * * [misc]progress:  simplifying alt 14 of 33
* [enter]simplify:  Simplifying (cube (cbrt (atan2 (/ 1 im) (/ 1 re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (14 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ 1 im) (/ 1 re)))
* * * [misc]progress:  simplifying alt 15 of 33
* [enter]simplify:  Simplifying (cube (cbrt (atan2 (/ -1 im) (/ -1 re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ -1 im) (/ -1 re)))
* * * [misc]progress:  simplifying alt 16 of 33
* [enter]simplify:  Simplifying (atan2 im re)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* [misc]none:  prog is (λ (re im) (atan2 im re))
* * * [misc]progress:  simplifying alt 17 of 33
* [enter]simplify:  Simplifying (atan2 (/ 1 im) (/ 1 re))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ 1 im) (/ 1 re)))
* * * [misc]progress:  simplifying alt 18 of 33
* [enter]simplify:  Simplifying (atan2 (/ -1 im) (/ -1 re))
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ -1 im) (/ -1 re)))
* * * [misc]progress:  simplifying alt 19 of 33
* [enter]simplify:  Simplifying (cube (cbrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* [misc]none:  prog is (λ (re im) (atan2 im re))
* * * [misc]progress:  simplifying alt 20 of 33
* [enter]simplify:  Simplifying (cube (cbrt (atan2 (/ 1 im) (/ 1 re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (14 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ 1 im) (/ 1 re)))
* * * [misc]progress:  simplifying alt 21 of 33
* [enter]simplify:  Simplifying (cube (cbrt (atan2 (/ -1 im) (/ -1 re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ -1 im) (/ -1 re)))
* * * [misc]progress:  simplifying alt 22 of 33
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 im re)))
* * [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 (atan2 im re)
* [misc]none:  prog is (λ (re im) (atan2 im re))
* * * [misc]progress:  simplifying alt 23 of 33
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 (/ 1 im) (/ 1 re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ 1 im) (/ 1 re)))
* * * [misc]progress:  simplifying alt 24 of 33
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 (/ -1 im) (/ -1 re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ -1 im) (/ -1 re)))
* * * [misc]progress:  simplifying alt 25 of 33
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 im re)))
* * [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 (atan2 im re)
* [misc]none:  prog is (λ (re im) (atan2 im re))
* * * [misc]progress:  simplifying alt 26 of 33
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 (/ 1 im) (/ 1 re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ 1 im) (/ 1 re)))
* * * [misc]progress:  simplifying alt 27 of 33
* [enter]simplify:  Simplifying (sqr (sqrt (atan2 (/ -1 im) (/ -1 re))))
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ -1 im) (/ -1 re)))
* * * [misc]progress:  simplifying alt 28 of 33
* [enter]simplify:  Simplifying (atan2 im re)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* [misc]none:  prog is (λ (re im) (atan2 im re))
* * * [misc]progress:  simplifying alt 29 of 33
* [enter]simplify:  Simplifying (atan2 (/ 1 im) (/ 1 re))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ 1 im) (/ 1 re)))
* * * [misc]progress:  simplifying alt 30 of 33
* [enter]simplify:  Simplifying (atan2 (/ -1 im) (/ -1 re))
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ -1 im) (/ -1 re)))
* * * [misc]progress:  simplifying alt 31 of 33
* [enter]simplify:  Simplifying (atan2 im re)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to (atan2 im re)
* [misc]none:  prog is (λ (re im) (atan2 im re))
* * * [misc]progress:  simplifying alt 32 of 33
* [enter]simplify:  Simplifying (atan2 (/ 1 im) (/ 1 re))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (atan2 (/ 1 im) (/ 1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ 1 im) (/ 1 re)))
* * * [misc]progress:  simplifying alt 33 of 33
* [enter]simplify:  Simplifying (atan2 (/ -1 im) (/ -1 re))
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (atan2 (/ -1 im) (/ -1 re))
* [misc]none:  prog is (λ (re im) (atan2 (/ -1 im) (/ -1 re)))
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (re im) (sqr (sqr (sqrt (sqrt (atan2 im re))))))> #<alt-delta (λ (re im) (cube (cbrt (atan2 im re))))> #<alt-delta (λ (re im) (sqr (sqrt (atan2 im re))))> #<alt-event (λ (re im) (atan2 im re))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (atan2 im re) +inf.0)) , with alts (#<alt-event (λ (re im) (atan2 im re))>)
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 im re)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 im re)))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 im re)))
* [enter]simplify:  Simplifying (cbrt (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 im re))
* [exit]simplify:  Simplified to (cbrt (atan2 im re))
* [enter]simplify:  Simplifying (sqrt (atan2 im re))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 im re))
* [exit]simplify:  Simplified to (sqrt (atan2 im re))
* [enter]simplify:  Simplifying (atan2 im re)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to (atan2 im re)